First are "ternary" societies divided into functional classes — clergy, nobility and everyone else.
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But, in a paper in Scientific Reports, they describe a successful demonstration of a ternary (base three) numbering system.
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Alison McGowan, who runs Ternary Performance Horses on Long Island, was importing two show horses from Belgium and Holland in September.
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The visual artist and electronic composer Celia Rae Hollander, who performs under the ternary name $3.33, has had a busy and numerical May.
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CNGR said they were the second biggest ternary precursor last year in China with a 16% market share, behind GEM with 23% market share.
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CNGR said they were the second biggest ternary precursor last year in China with a 16% market share, behind GEM with 23% market share.
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The ministry on Monday also approved several vehicles that use "ternary" lithium-ion batteries, which employ the chemical elements of nickel, cobalt and manganese (NCM).
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"The February imports were lower than January but still quite high given the one-week Chinese New Year holiday," said Peng Sanhao, analyst at Chaos Ternary Futures.
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High-nickel ternary materials account for more than 40% of the cost of a battery, China Moly said in a statement to the Hong Kong stock exchange late on Friday.
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Peng at Chaos Ternary said production at rods manufacturing plants in the northeastern province of Shandong and southern province of Hunan had been picking up over the past two weeks.
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Jlin takes hypnotic footwork sample techniques and that similar ternary rhythm structure and infuses them with percussion of all kinds, from marching drum lines to gamelanesque sounds, Japanese flutes and Art of Noise-style snippets.
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"The price for sugar on the international market has increased a lot, driving down the benefit of importing, so many have turned to domestic sugar," said Tao Qiujun from Chaos Ternary Futures Co. A drop in local prices to below the global market has also curbed traders' desire to sell into China.
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The term "ternary ring" often means a planar ternary ring, but it can also simply mean a ternary system.
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In mathematics, an algebraic structure (R,T) consisting of a non-empty set R and a ternary mapping T \colon R^3 \to R \, may be called a ternary system. A planar ternary ring (PTR) or ternary field is special type of ternary system used by to construct projective planes by means of coordinates. A planar ternary ring is not a ring in the traditional sense, but any field gives a planar ternary ring where the operation T is defined by T(a,b,c) = ab + c. Thus, we can think of a planar ternary ring as a generalization of a field where the ternary operation takes the place of both addition and multiplication.
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In coding theory, the ternary Golay codes are two closely related error- correcting codes. The code generally known simply as the ternary Golay code is an [11, 6, 5]_3-code, that is, it is a linear code over a ternary alphabet; the relative distance of the code is as large as it possibly can be for a ternary code, and hence, the ternary Golay code is a perfect code. The extended ternary Golay code is a [12, 6, 6] linear code obtained by adding a zero-sum check digit to the [11, 6, 5] code. In finite group theory, the extended ternary Golay code is sometimes referred to as the ternary Golay code.
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Lithium niobate is a famous ternary phase. It features three elements: Li, Nb, and O. In materials chemistry, a ternary phase is chemical compound containing three different elements. Some ternary phases compounds are molecular, e.g. chloroform (HCCl3).
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Any node in the data structure can be reached by starting at root node and repeatedly following references to either the left, mid or right child. Ternary trees are used to implement Ternary search trees and Ternary heaps.
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In effect, in computer architecture, this ternary operation is known, e.g., as the multiply–accumulate operation (MAC). There is wide variation in the terminology. Planar ternary rings or ternary fields as defined here have been called by other names in the literature, and the term "planar ternary ring" can mean a variant of the system defined here.
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Nonary (base 9, each digit is two ternary digits) or septemvigesimal (base 27, each digit is three ternary digits) can be used for compact representation of ternary, similar to how octal and hexadecimal systems are used in place of binary.
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The ternary numeral system (also called base 3) has three as its base. Analogous to a bit, a ternary digit is a trit (trinary digit). One trit is equivalent to log2 3 (about 1.58496) bits of information. Although ternary most often refers to a system in which the three digits are all non–negative numbers, specifically , , and , the adjective also lends its name to the balanced ternary system, comprising the digits −1, 0 and +1, used in comparison logic and ternary computers.
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Ternary form is a three-part musical form in which the third part repeats or at least contains the principal idea of the first part, represented as A B A There are both simple and compound ternary forms. Da capo arias are usually in simple ternary form (i.e. "from the head"). A compound ternary form (or trio form) similarly involves an ABA pattern, but each section is itself either in binary (two sub-sections which may be repeated) or (simple) ternary form.
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Neighboring pixels are combined after thresholding into a ternary pattern. Computing a histogram of these ternary values will result in a large range, so the ternary pattern is split into two binary patterns. Histograms are concatenated to generate a descriptor double the size of LBP.
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In the United States, the ternary computing emulator Ternac working on a binary machine was developed in 1973. The ternary computer QTC-1 was developed in Canada.
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In mathematics, a ternary equivalence relation is a kind of ternary relation analogous to a binary equivalence relation. A ternary equivalence relation is symmetric, reflexive, and transitive. The classic example is the relation of collinearity among three points in Euclidean space. In an abstract set, a ternary equivalence relation determines a collection of equivalence classes or pencils that form a linear space in the sense of incidence geometry.
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In mathematics, a ternary operation is an n-ary operation with n = 3. A ternary operation on a set A takes any given three elements of A and combines them to form a single element of A. In computer science, a ternary operator is an operator that takes three arguments.
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A ternary computer (also called trinary computer) is a computer that uses ternary logic (three possible values) instead of the more popular binary system ("Base 2") in its calculations.
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Setun () was a computer developed in 1958 at Moscow State University. It was built under the leadership of Sergei Sobolev and Nikolay Brusentsov. It was the most modern ternary computer, using the balanced ternary numeral system and three-valued ternary logic instead of the two-valued binary logic prevalent in other computers.
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A ternary complex is a protein complex containing three different molecules that are bound together. In structural biology, ternary complex can also be used to describe a crystal containing a protein with two small molecules bound, for example cofactor and substrate; or a complex formed between two proteins and a single substrate. In Immunology, ternary complex can refer to the MHC–peptide–T-cell-receptor complex formed when T cells recognize epitopes of an antigen. Some other example can be taken like ternary complex while eukaryotic translation, in which ternary complex is composed of eIF-3 & eIF-2 + Ribosome 40s subunit+ tRNAi.
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With the advent of mass-produced binary components for computers, ternary computers have diminished in significance. However, Donald Knuth argues that they will be brought back into development in the future to take advantage of ternary logic's elegance and efficiency.. One possible way this could happen is by combining an optical computer with the ternary logic system. A ternary computer using fiber optics could use dark as 0 and two orthogonal polarizations of light as 1 and −1. IBM also reports infrequently on ternary computing topics (in its papers), but it is not actively engaged in it.
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Ternary computing is commonly implemented in terms of balanced ternary, which uses the three digits −1, 0, and +1. The negative value of any balanced ternary digit can be obtained by replacing every + with a − and vice versa. It is easy to subtract a number by inverting the + and − digits and then using normal addition. Balanced ternary can express negative values as easily as positive ones, without the need for a leading negative sign as with unbalanced numbers.
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The Clebsch transfer of the discriminant of a binary cubic is a contravariant F of ternary cubics of degree 4 and class 6, giving the dual cubic of a cubic curve. The Cayleyan P of a ternary cubic is a contravariant of degree 3 and class 3. The quippian Q of a ternary cubic is a contravariant of degree 5 and class 3. The Hermite contravariant Π is another contravariant of ternary cubics of degree 12 and class 9.
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In mathematical physics, the ternary commutator is an additional ternary operation on a triple system defined by :[a,b,c] = abc-acb-bac+bca+cab-cba. \, Also called the ternutator or alternating ternary sum, it is a special case of the n-commutator for n = 3, whereas the 2-commutator is the ordinary commutator.
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In some languages, this operator is referred to as the conditional operator. The multiply–accumulate operation is another ternary operator. Another example of a ternary operator is between, as used in SQL. The Icon programming language has a "to-by" ternary operator: the expression `1 to 10 by 2` generates the odd integers from 1 through 9.
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Simulation of ternary computers using binary computers, or interfacing between ternary and binary computers, can involve use of binary-coded ternary (BCT) numbers, with two bits used to encode each trit. BCT encoding is analogous to binary-coded decimal (BCD) encoding. If the trit values 0, 1 and 2 are encoded 00, 01 and 10, conversion in either direction between binary-coded ternary and binary can be done in logarithmic time. A library of C code supporting BCT arithmetic is available.
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Nodes can be inserted into ternary trees in between three other nodes or added after an external node. In Ternary trees, a node that is inserted is specified as to which child it is.
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The catalecticant of a ternary quartic is the resultant of its 6 second partial derivatives. It vanishes when the ternary quartic can be written as a sum of five 4th powers of linear forms.
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More typically ternary phases refer to extended solids. Famous example are the perovskites. Binary phases with only two elements, have lower degrees of complexity than ternary phases. With four elements quaternary phases are more complex.
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In most programming languages, ?: is called the conditional operator. It is a type of ternary operator, while ternary operator in most situation means specifically to ?: , because it is the only operator that takes three operands.
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The scherzo is an animated piece in standard double ternary form.
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It is a ternary variation form in D major and time.
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In Robert A. Heinlein's novel Time Enough for Love, the sapient computers of Secundus, the planet on which part of the framing story is set, including Minerva, use an unbalanced ternary system. Minerva, in reporting a calculation result, says "three hundred forty one thousand six hundred forty... the original ternary readout is unit pair pair comma unit nil nil comma unit pair pair comma unit nil nil point nil". Virtual Adepts in the roleplaying game Mage: The Ascension use ternary computers. In Howard Tayler's webcomic Schlock Mercenary, every modern computer is a ternary computer.
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When a set of v by [S] curves (fixed A, varying B) from an enzyme with a ternary-complex mechanism are plotted in a Lineweaver–Burk plot, the set of lines produced will intersect. Enzymes with ternary-complex mechanisms include glutathione S-transferase, dihydrofolate reductase and DNA polymerase. The following links show short animations of the ternary-complex mechanisms of the enzymes dihydrofolate reductase and DNA polymerase.
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Conversely, given a planar ternary ring (R,T), a projective plane can be constructed (see below). The relationship is not one to one. A projective plane may be associated with several non-isomorphic planar ternary rings. The ternary operator T can be used to produce two binary operators on the set R, by: : a + b = T(a,1,b), and : a • b = T(a,b,0).
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It can be alloyed with gallium arsenide to produce ternary and quaternary semiconductors.
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In computer science, a ternary operator is an operator that takes three arguments (or operands). The arguments and result can be of different types. Many programming languages that use C-like syntax feature a ternary operator, `?:`, which defines a conditional expression.
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In some systems, while the base is a positive integer, negative digits are allowed. Non-adjacent form is a particular system where the base is b = 2\. In the balanced ternary system, the base is b = 3, and the numerals have the values −1, 0 and +1 (rather than 0, 1 and 2 as in the standard ternary system, or 1, 2 and 3 as in the bijective ternary system).
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The Josephson junction has been proposed as a balanced ternary memory cell, using circulating superconducting currents, either clockwise, counterclockwise, or off. "The advantages of the proposed memory circuit are capability of high speed computation, low power consumption and very simple construction with fewer elements due to the ternary operation." In 2009, a quantum computer was proposed which uses a quantum ternary state, a qutrit, rather than the typical qubit.
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The term ternary complex can also refer to a polymer formed by electrostatic interactions.
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The ternary operator is linear if T(x,m,k) = x•m + k. When the set of coordinates of a projective plane actually form a ring, a linear ternary operator may be defined in this way, using the ring operations on the right, to produce a planar ternary ring. Algebraic properties of this planar ternary coordinate ring turn out to correspond to geometric incidence properties of the plane. For example, Desargues' theorem corresponds to the coordinate ring being obtained from a division ring, while Pappus's theorem corresponds to this ring being obtained from a commutative field.
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In computer science, a ternary search tree is a type of trie (sometimes called a prefix tree) where nodes are arranged in a manner similar to a binary search tree, but with up to three children rather than the binary tree's limit of two. Like other prefix trees, a ternary search tree can be used as an associative map structure with the ability for incremental string search. However, ternary search trees are more space efficient compared to standard prefix trees, at the cost of speed. Common applications for ternary search trees include spell-checking and auto-completion.
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Where Boolean logic has 22 = 4 unary operators, the addition of a third value in ternary logic leads to a total of 33 = 27 distinct operators on a single input value. Similarly, where Boolean logic has 22×2 = 16 distinct binary operators (operators with 2 inputs), ternary logic has 33×3 = 19,683 such operators. Where we can easily name a significant fraction of the Boolean operators (not, and, or, nand, nor, exclusive or, equivalence, implication), it is unreasonable to attempt to name all but a small fraction of the possible ternary operators.Douglas W. Jones, Standard Ternary Logic, Feb.
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A planar ternary ring (R,T) is said to be linear if T(a,b,c)=(a\otimes b)\oplus c,\quad \forall a,b,c \in R. For example, the planar ternary ring associated to a quasifield is (by construction) linear.
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Ternary pnictides that contain nickel are metallic and include MgNi2Bi4, SrNi2P2, SrNi2As2, BaNi2P2, and BaNi2As2.
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In mathematics, a ternary quartic form is a degree 4 homogeneous polynomial in three variables.
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In mathematics, a ternary cubic form is a homogeneous degree 3 polynomial in three variables.
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Balanced ternary is a non-standard positional numeral system (a balanced form), used in some early computers and useful in the solution of balance puzzles. It is a ternary (base 3) number system in which the digits have the values –1, 0, and 1, in contrast to the standard (unbalanced) ternary system, in which digits have values 0, 1 and 2. Balanced ternary can represent all integers without using a separate minus sign; the value of the leading non- zero digit of a number has the sign of the number itself. While binary numerals with digits 0 and 1 provide the simplest positional numeral system for natural numbers (or for positive integers if using 1 and 2 as the digits), balanced ternary provides the simplest self-contained positional numeral system for integers.
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A ternary complex can be a complex formed between two substrate molecules and an enzyme. This is seen in multi-substrate enzyme-catalyzed reactions where two substrates and two products can be formed. The ternary complex is an intermediate between the product formation in this type of enzyme-catalyzed reactions. An example for a ternary complex is seen in random-order mechanism or a compulsory-order mechanism of enzyme catalysis for multi substrates.
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A ternary search algorithm is a technique in computer science for finding the minimum or maximum of a unimodal function. A ternary search determines either that the minimum or maximum cannot be in the first third of the domain or that it cannot be in the last third of the domain, then repeats on the remaining two thirds. A ternary search is an example of a divide and conquer algorithm (see search algorithm).
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Serum response factor-dependent ternary complex formation by Sap1a is stimulated by ERK phosphorylation but not by SAPK/JNKs. Moreover, Sap1a-mediated transcription is activated by mitogenic signals but not by cell stress. ELK1 and SAP1a have been shown to form ternary complexes with SRF on the serum response elements (SRE) located in the c-fos promoter. ELK1, SAPla, FLI1 and EWS-FLI1 are able to form ternary complexes with SRF on EGR1 SREs.
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The ring of covariants is given as follows. The identity covariant U of a ternary cubic has degree 1 and order 3. The Hessian H is a covariant of ternary cubics of degree 3 and order 3. There is a covariant G of ternary cubics of degree 8 and order 6 that vanishes on points x lying on the Salmon conic of the polar of x with respect to the curve and its Hessian curve.
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Unrooted binary trees have also been called free binary trees,. cubic trees,. ternary trees and unrooted ternary trees,.. However, the "free binary tree" name has also been applied to unrooted trees that may have degree-two nodes. and to rooted binary trees with unordered children,.
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Calculations have showed that ternary metal borides promise a higher critical temperature Tc for superconductivity then .
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The set T3 of rooted ternary trees consists of rooted trees where every node (or non-leaf vertex) has exactly three children (leaves or subtrees). Small ternary trees are shown at right. Note that rooted ternary trees with n nodes are equivalent to rooted trees with n vertices of degree at most 3 (by ignoring the leaves). In general, two rooted trees are isomorphic when one can be obtained from the other by permuting the children of its nodes.
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Appendix IV of G.961 specifies a line system based on echo cancellation and a substitutional 3B2T (SU32) line code, which maps three bits into 2 ternary symbols. As with MMS43 and AMI, the ternary symbol can either be a positive (+), zero (0), or negative (-) voltage. The mapping from 23=8 to 32=9 symbols leaves one unused symbol. When two subsequent input (binary) information words are identical, the (ternary) code word is substituted by the unused code word.
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The Stanley sequence starting from the empty set consists of those numbers whose ternary representations have only the digits 0 and 1. That is, when written in ternary, they look like binary numbers. These numbers are :0, 1, 3, 4, 9, 10, 12, 13, 27, 28, 30, 31, 36, 37, 39, 40, ... By their construction as a Stanley sequence, this sequence is the lexicographically first arithmetic-progression- free sequence. Its elements are the sums of distinct powers of three, the numbers n such that the nth central binomial coefficient is 1 mod 3, and the numbers whose balanced ternary representation is the same as their ternary representation. The construction of this sequence from the ternary numbers is analogous to the construction of the Moser–de Bruijn sequence, the sequence of numbers whose base-4 representations have only the digits 0 and 1, and the construction of the Cantor set as the subset of real numbers in the interval [0,1] whose ternary representations use only the digits 0 and 2.
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A ternary search tree is a type of tree that can have 3 nodes: a lo kid, an equal kid, and a hi kid. Each node stores a single character and the tree itself is ordered the same way a binary search tree is, with the exception of a possible third node. Searching a ternary search tree involves passing in a string to test whether any path contains it. The time complexity for searching a balanced ternary search tree is O(log n).
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Hashtables can also be used in place of ternary search trees for mapping strings to values. However, hash maps also frequently use more memory than ternary search trees (but not as much as tries). Additionally, hash maps are typically slower at reporting a string that is not in the same data structure, because it must compare the entire string rather than just the first few characters. There is some evidence that shows ternary search trees running faster than hash maps.
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They are all in ternary form, with a central trio leading to a reprise of the main march.
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C major, ternary form. This movement involves the use of alternating time signatures: and , as well as and .
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In mathematics, a ternary relation or triadic relation is a finitary relation in which the number of places in the relation is three. Ternary relations may also be referred to as 3-adic, 3-ary, 3-dimensional, or 3-place. Just as a binary relation is formally defined as a set of pairs, i.e. a subset of the Cartesian product of some sets A and B, so a ternary relation is a set of triples, forming a subset of the Cartesian product of three sets A, B and C. An example of a ternary relation in elementary geometry can be given on triples of points, where a triple is in the relation if the three points are collinear.
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The cations and anions are shown by separate ternary plots. The apexes of the cation plot are calcium, magnesium and sodium plus potassium cations. The apexes of the anion plot are sulf ate , chloride and carbonate plus hydrogen carbonate anions. The two ternary plots are then projected onto a diamond.
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43, Scholium 1. pp. 92. Kordela argues that this ternary concept of truth — truth, itself and the false — reveals Spinoza's break with the binaries of both Platonism and anti- Platonism. Kordela shows that this ternary structure corresponds to Lacan's argument that truth has the structure of a fiction.Lacan, Jacques. 2002.
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Bioresorbable (or bioabsorbable) metallic glass is a type of amorphous metal, which is based on the Mg-Zn-Ca ternary system.Mg-Zn-Ca ternary system Containing only elements which already exist inside the human body, namely Mg, Zn and Ca, these amorphous alloys are a special type of biodegradable metal.
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Ternary solar cells are a promising approach to increased efficiency and light harvesting properties of organic photovoltaic cells (OPV).
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Residue curve map of the ternary mixture of chloroform, methanol, and acetone The ternary mixture of chloroform, methanol and acetone has three binary azeotropes and one ternary azeotrope. Together with the three pure components the system has seven nodes which altogether form four distallation regions. Two nodes are stable (pure methanol and the binary azeotrope of chloroform and acetone which have both the lowest vapor pressure (isothermal calculation) in their two regions where they are part of. The other two binary azeotropes are unstable nodes.
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In a complex ternary form each section is itself in ternary form in the scheme of By convention each part is repeated and only on its first rendition: . An example are the Impromptus (Op. 7) by Jan Voříšek."An Analysis of Three Impromptus for Piano Op. 68 by Lowell Liebermann" by Tomoko Uchino.
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John Horton Conway developed a 4 × 3 array known as the MiniMOG. The MiniMOG provides the same function for the Mathieu group M12 and ternary Golay code as the Miracle Octad Generator does for M24 and binary Golay code, respectively. Instead of using a quaternary hexacode, the MiniMOG uses a ternary tetracode.
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Additionally, hash maps do not allow for many of the uses of ternary search trees, such as near- neighbor lookups.
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C minor, ternary form. This movement takes the form of an intermezzo, in place of the traditional scherzo and trio.
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Activated RhoA also participates in regulating transcriptional control over other signal transduction pathways via various cellular factors. RhoA proteins help potentiate the transcription independent of ternary complex factors when activated while simultaneously modulating subsequent extracellular signal activity. It has also been shown that RhoA mediates serum-, LPA- and AIF4-induced signaling pathways in addition to regulating the transcription of the c-fos promoter, a key component in the formation of the ternary complex producing the serum and ternary factors. RhoA signaling and modulation of actin polymerization also regulates Sox9 expression via controlling transcriptional Sox9 activity.
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This movement displays the classical "middle movement" ternary A–B–A form. It is an example of Bartók's "night music" idiom.
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The rise, of many binary, ternary and perhaps polyfold eutectics, often with the character of independent minerals was proved by experience.
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The sonata features a typical four movement layout with an opening sonata form, a ternary scherzo, a slow movement (also in ternary form) and a finale in sonata form. Also, like other Russian composers (Tchaikovsky, Rachmaninoff, etc.), Scriabin makes use of cyclic form, in this case by making references of movements I and III in the finale.
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From Fundamental Properties Towards Novel Applications (Springer Series in Materials Science. 120). Springer, Heidelberg u. a. 2010, . Diagram of the band gap plotted versus the lattice parameter a of the ternary alloy combinations of ZnO, CdO and MgO Ternary compounds are one option to vary the band gap of semiconductors almost continuously over a wide energy range.
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It is called a shear plane if any (or all) of its ternary rings are left quasifields. The plane does not uniquely determine the ring; all 4 nonabelian quasifields of order 9 are ternary rings for the unique non- Desarguesian translation plane of order 9. These differ in the fundamental quadrilateral used to construct the plane (see Weibel 2007).
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Using a ternary code in the alphabet would have resulted in shorter messages because fewer elements are required in each codepoint, but a binary system is easier to read at long distance since fewer flag positions need to be distinguished. Myer's manual also describes a ternary-coded alphabet with a fixed length of three elements for each codepoint.
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In the early decades of computing, there were computers that used binary, decimal and even ternary.. Contemporary computers are almost exclusively binary.
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Haydn labeled the B section "Alternative", a label used in some Baroque pieces (though most such pieces were in proper compound ternary form).
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Deletion is the process whereby a node is removed from the tree. Only certain nodes in a ternary tree can be removed unambiguously.
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While being slower than other prefix trees, ternary search trees can be better suited for larger data sets due to their space-efficiency.
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A slow movement is usually written in one of three forms: compound or "large" ternary, sonata form without development, and theme and variations.
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In the early days of computing, a few experimental Soviet computers were built with balanced ternary instead of binary, the most famous being the Setun, built by Nikolay Brusentsov and Sergei Sobolev. The notation has a number of computational advantages over traditional binary and ternary. Particularly, the plus–minus consistency cuts down the carry rate in multi- digit multiplication, and the rounding–truncation equivalence cuts down the carry rate in rounding on fractions. The one-digit multiplication table has no carries in balanced ternary, and the addition table has only two symmetric carries instead of three.
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Ternary computing implemented in terms of unbalanced ternary, which uses the three digits 0, 1, 2. The original 0 and 1 are explained as an ordinary Binary computer, but instead uses 2 as leakage current. The world's first unbalanced ternary semiconductor design on a large wafer was implemented by the research team led by Kim Kyung-rok at Ulsan National Institute of Science and Technology in South Korea, which will help development of low power and high computing microchips in the future. This research theme was selected as one of the future projects funded by Samsung in 2017, published on July 15, 2019.
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The ternary Golay code was published by . It was independently discovered two years earlier by the Finnish football pool enthusiast Juhani Virtakallio, who published it in 1947 in issues 27, 28 and 33 of the football magazine Veikkaaja. The ternary Golay code has been shown to be useful for an approach to fault-tolerant quantum computing known as magic state distillation.
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Initially, the synthesis of cocrystals was centered on the design of binary ones. This is most often achieved with strong heteromolecular interactions. Ternary ones were designed mainly by interaction insulation, interaction hierarchyC. B. Aakeröy, A. M. Beatty and B. A. Helfrich, "Total Synthesis" Supramolecular Style: Design and Hydrogen- Bond-Directed Assembly of Ternary Supermolecules, Angew. Chem. Int. Ed. 2001, 40, 3240-3242.
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The combined structure of XPO5, RanGTP, and pre-miRNA is known as the ternary complex. Once the ternary complex is formed, it diffuses through a nuclear pore complex into the cytoplasm, transporting pre-miRNA into the cytoplasm in the process. Once in the cytoplasm, RanGAP hydrolyzes GTP to GDP, causing a conformational change that releases the pre-miRNA into the cytoplasm.
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In other words, the group that acts on the children of a node is the symmetric group S3. We define the weight of such a ternary tree to be the number of nodes (or non-leaf vertices). Rooted ternary trees on 0, 1, 2, 3 and 4 nodes (=non-leaf vertices). The root is shown in blue, the leaves are not shown.
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If this property holds in the rudimentary affine plane defined by a ternary ring, then there is an equivalence relation between "vectors" defined by pairs of points from the plane.Rafael Artzy (1965). Linear Geometry, Addison-Wesley, p. 213. Furthermore, the vectors form an abelian group under addition, the ternary ring is linear, and satisfies right distributivity: : (a + b) c = ac + bc.
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The Impromptu is in ternary form (ABA), the middle being in the key of F minor. A perpetuum mobile in triplets accompanies the piece.
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Ternary (where there is an alkali or alkaline earth metal, a transition metal as well as tin e.g. LiRh3Sn5 and MgRuSn4) have been investigated.
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"Powerhouse" in its entirety places "B" in the center while "A" opens and closes the work in the sequence A-B-A (Ternary form).
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Above 1565K, the phase diagram shows that carbon-saturated alloy melts could yield graphite upon cooling, followed by Mn7C3 through a ternary peritectic reaction.
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Memory and I/O products in this category include ternary content addressable memory (TCAMs), fast cache, multi-port and asynchronous register files and HBM2 PHY.
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Examples of compounds that form in this structure type include Cr23C6, Mn23C6, and many ternary intermetallic carbides and borides.Stadelmaier, H. H. Developments in the Structural Chemistry of Alloy Phases; Plenum Press: New York, 1969; p 141. A few phases of ternary silicides, germanides, and phosphides are also known to exist.Gribanov, A. V.; Seropegin, Y. D.; Bodak, O. I. Crystal structure of the compounds Ce3Pd20Ge6 and Ce3Pd20Si6.
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In game theory, it is often called a simplex plot.Karl Tuyls, "An evolutionary game-theoretic analysis of poker strategies", Entertainment Computing January 2009 , p. 9 Ternary plots are tools for analyzing compositional data in the three- dimensional case. Approximate colours of Ag–Au–Cu alloys in jewellery making In a ternary plot, the values of the three variables , , and must sum to some constant, .
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In 2013, Dal Forno and Merlone interpret Braess' paradox as a dynamical ternary choice problem. The analysis shows how the new path changes the problem. Before the new path is available, the dynamics is the same as in binary choices with externalities, but the new path transforms it into a ternary choice problem. The addition of an extra resource enriches the complexity of the dynamics.
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For example, if a player pitched all of the 4th, 5th and 6th innings, plus achieving 2 outs in the 7th inning, his innings pitched column for that game would be listed as 3.2, the equivalent of (which is sometimes used as in alternative by some record keepers). In this usage, only the fractional part of the number is written in ternary form. Ternary numbers can be used to convey self–similar structures like the Sierpinski triangle or the Cantor set conveniently. Additionally, it turns out that the ternary representation is useful for defining the Cantor set and related point sets, because of the way the Cantor set is constructed.
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Given a quasifield Q, we define a ternary map \scriptstyle T\colon Q\times Q\times Q\to Q \, by T(a,b,c)=a \cdot b+c \quad \forall a,b,c\in Q One can then verify that (Q,T) satisfies the axioms of a planar ternary ring. Associated to (Q,T) is its corresponding projective plane. The projective planes constructed this way are characterized as follows; the details of this relationship are given in . A projective plane is a translation plane with respect to the line at infinity if and only if any (or all) of its associated planar ternary rings are right quasifields.
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It is written in ternary form. "Under the Double Eagle" has been recorded by country music guitar and banjo players, several identified with the bluegrass style.
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However, as a binary design Kerl is not inherently suitable for direct implementation on ternary platforms and a drop-in replacement, called Troika, is currently developed.
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The ternary operator is right-associative, which means it can be "chained" in the following way, similar to an if ... else if ... else if ... else chain.
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The patterns are all ternary, and vary in number (depending on the theorists' preferences) from four to nine . The six most often described, forming the nucleus of the system, are (; ): # Long-short (trochee) # Short-long (iamb) # Long-short-short (dactyl) # Short-short-long (anapest) # Long-long (spondee) # Short-short (pyrrhic) Rhythmic modes were the basis for the notation technique of modal notation, the first system in European music to notate musical rhythms and thereby make the notation of complex polyphonic music possible, which was devised around 1200 AD and later superseded by the more complex mensural notation. Modal notation indicated modes by grouping notes together in ligatures—a single written symbol representing two or more notes. A three- note ligature followed by a succession of duple ligatures indicated mode 1; the reverse—a succession of duple ligatures ending with a ternary on—indicated mode 2; a single note followed by a series of ternary ligatures mean mode 3 and the reverse mode 4; uniform ternary ligatures signified mode 5, and a four-note ligature followed by a chain of ternary ligatures meant indicated mode 6 .
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Some ternary computers such as the Setun defined a tryte to be six trits or approximately 9.5 bits (holding more information than the de facto binary byte).
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In mathematics, a partial cyclic order is a ternary relation that generalizes a cyclic order in the same way that a partial order generalizes a linear order.
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The piece has a total of 74 measures and is in ternary form. The nocturne is among the works of Chopin orchestrated in the ballet Les Sylphides.
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The first movement is in sonata form with a lyrical second subject and ending in the major. The second, slow movement is in ternary form. The third movement is a scherzo, also in ternary form with fast outer sections in triple meter and a more serene central section. The finale commences with a slow introduction which reprises material from the second movement before leading into another sonata form Allegro.
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They have the highest vapor pressure in their regions. The other nodes are saddles (the ternary azeotrope, the pure acetone and the pure chloroform). The border lines in this system connect the ternary azeotrope (saddle) with the two stable nodes and the two unstable nodes. The residue curves are always moving away from an unstable node to a saddle but never reaches that because they then turn to a stable node.
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The highly negative charge density of heparin contributes to its very strong electrostatic interaction with thrombin. The formation of a ternary complex between AT, thrombin, and heparin results in the inactivation of thrombin. For this reason, heparin's activity against thrombin is size-dependent, with the ternary complex requiring at least 18 saccharide units for efficient formation. In contrast, antifactor Xa activity via AT requires only the pentasaccharide-binding site.
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However, even without such a splitting two ternary majority functions are suitable for building a ternary inclusive OR gate. Both the Maevsky and Tsirlin circuits are based actually on so-called David cell.M. Courvoisier and P. Azema, "Asynchronous sequential machines with request/acknowledge operating mode," IEE Electronics Letters, Vol. 10, no. 1, pp.8-10, 1974. Its fast transistor-level implementation is used in the semistatic C-element proposed.
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AIs use the extra digit as "maybe" in boolean (true/false) operations, thus having a much more intimate understanding of fuzzy logic than is possible with binary computers. The Conjoiners, in Alastair Reynolds' Revelation Space series, use ternary logic to program their computers and nanotechnology devices. In Stanisław Lem's short story "The Hunt", the robot hunted by the protagonist is called Setaur, Self-programming Electronic Ternary Automaton Racemic.
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There are prefix unary operators, such as unary minus `-x`, and postfix unary operators, such as post-increment `x++`; and binary operations are infix, such as `x + y` or `x = y`. Infix operations of higher arity require additional symbols, such as the ternary operator ?: in C, written as `a ? b : c` – indeed, since this is the only common example, it is often referred to as the ternary operator.
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III, measures 5–12, violin I.Dvořák, Symphony no. 6, op. 60 in D major, 85–86. The form of the third movement is a ternary scherzo and trio.
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4B3T, which stands for 4 (four) Binary 3 (three) Ternary, is a line encoding scheme used for ISDN PRI interface. 4B3T represents four binary bits using three pulses.
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If the theme is played (perhaps twice), then a new theme is introduced, the piece then closing with a return to the first theme, we have a simple ternary form. Great arguments and misunderstanding can be generated by such terms as 'ternary' and 'binary', as a complex piece may have elements of both at different organizational levels. A minuet, like any Baroque dance, generally had simple binary structure (AABB), however, this was frequently extended by the introduction of another minuet arranged for solo instruments (called the trio), after which the first was repeated again and the piece ended—this is a ternary form—ABA: the piece is binary on the lower compositional level but ternary on the higher. Organisational levels are not clearly and universally defined in western musicology, while words like "section" and "passage" are used at different levels by different scholars whose definitions, as Schlanker points out, cannot keep pace with the myriad innovations and variations devised by musicians.
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" In 1974 Rustum Roy and Olaf Müller noted simplexity in the structure of ternary compounds: :By dealing with approximately ten ternary structural groupings we can cover the most important structures of science and technology specific to the non-metallics world. It is a remarkable instance of nature's 'simplexity'.Rustum Roy & Olaf Müller (1974) The Major Ternary Structural Families, pages 3 & 4,Springer-Verlag In 2003, simplexity has been defined by Philippe Compain in the context of an article on the future of synthetic chemistry as follows: > "Simplexity may be defined as the combination of simplicity and complexity > within the context of a dynamic relationship between means and > ends.";Philippe Compain "The challenge of simplexity.
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The Modified Monitoring State Code mapping 4 bits into 3 ternary symbols (MMS43), which is also referred to as 4B3T (four binary, three ternary) is a line system used in Europe and elsewhere in the world. 4B3T is a "block code" that uses Return-to-Zero states on the line. 4B3T converts each group of 4 data bits into 3 "ternary" line signal states (3 symbols). Echo cancellation techniques allow full-duplex operation on the line. MMS43 is defined in Appendix I of G.961, Annex B of ETR 080, and other national standards, like Germany's 1TR220. 4B3T can be transmitted reliably at up to over cable or up to over cable.
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The Fugue is one of only three that Bach wrote in ternary form, with an exact repetition of its contrapuntally active opening section framing a texturally contrasting central section.
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A list of 15825 binary and ternary mixtures was collated and published by the American Chemical Society. An azeotrope databank is also available online through the University of Edinburgh.
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The crystal structure of a similar protein in mouse has been resolved as a ternary protein complex. Multiple transcript variants encoding distinct isoforms have been identified for this gene.
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The use of balanced ternary meant that the machine was not suitable for performing addition and subtraction because of the overhead of the conversion to and from base 10. It was more useful for problems (like those Thomas Fowler needed to solve as Treasurer of the Poor Law union) where there are a large number of intermediate calculations in between the conversions to and from ternary. It could perform both multiplication and division.
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This gene is a member of the Ets family of transcription factors and of the ternary complex factor (TCF) subfamily. Proteins of the TCF subfamily form a ternary complex by binding to the serum response factor and the serum response element in the promoter of the c-fos proto-oncogene. The protein encoded by this gene is phosphorylated by the kinases, MAPK1 and MAPK8. Several transcript variants have been described for this gene.
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The Moulton plane is a standard illustration. In order to provide a context for such geometry as well as those where Desargues theorem is valid, the concept of a ternary ring has been developed. Rudimentary affine planes are constructed from ordered pairs taken from a ternary ring. A plane is said to have the "minor affine Desargues property" when two triangles in parallel perspective, having two parallel sides, must also have the third sides parallel.
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A 0.75 ms frame carrying 108 bits of 2B+D data is mapped to 72 ternary symbols. To this frame, a 6-symbol preamble, one CRC symbol, and 2 symbols from the CL channel are added, yielding a frame size of 81 ternary symbols and a symbol rate of 108 kilobaud. The CL channel is used for supervisory and maintenance functions between the LT and NT1. The 15-bit CRC covers 16 frames.
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Seeber is known for his study of positive ternary quadratic forms in 1831, which was applauded by Carl Friedrich Gauss (1831) and later simplified by Peter Gustav Lejeune Dirichlet (1847).
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A typing relation \Gamma\vdash e\\!:\\!\sigma indicates that e is a term of type \sigma in context \Gamma, and is thus a ternary relation between contexts, terms and types.
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Gibbons et al. formally define binary tree accumulation as iterative application of a ternary operator \otimes(A,B,A); where A are descendant labels and B is a junction label.
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Examples of quadratic residue codes include the (7,4) Hamming code over GF(2), the (23,12) binary Golay code over GF(2) and the (11,6) ternary Golay code over GF(3).
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Despite its title, the polonaise is a composite work in ternary form, with a central mazurka section in A major. A typical performance of the polonaise lasts around eleven minutes.
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100 The common types of form known as binary and ternary ("twofold" and "threefold") once again demonstrate the importance of small integral values to the intelligibility and appeal of music.
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The only primitive notions in ordered geometry are points A, B, C, ... and the ternary relation of intermediacy [ABC] which can be read as "B is between A and C".
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The trio is in A major, ternary form, with a B section beginning in E major colored by its own minor sixth and modulating to G major via the parallel minor.
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A prefix that indicates an integer, e.g., "bin", "tern," or "quatern", may be used in lieu of a numeral, to produce "binary", "ternary", or "quaternary" (2, 3, and 4 states respectively).
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In Encyclopedia of Materials: Science and Technology (Elsevier Science Ltd., London) 4205-4213 (2001). #D.F. Teter and D.J. Thoma. "The Prediction of the Hydriding Thermodynamics of Pd-Rh-Co Ternary Alloys".
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The six-bars and seven joints of the Stephenson linkage comprise one four-bar loop and one five-bar loop. It has two ternary links that are separated by a binary link. This means the two ternary links are not connected to each other by a joint as in the case of the Watt topology. The Stephenson has three forms depending on the link that is selected as the frame, which are denoted Stephenson I, II and III.
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Random-order ternary-complex mechanism for an enzyme reaction. The reaction path is shown as a line and enzyme intermediates containing substrates A and B or products P and Q are written below the line. In these enzymes, both substrates bind to the enzyme at the same time to produce an EAB ternary complex. The order of binding can either be random (in a random mechanism) or substrates have to bind in a particular sequence (in an ordered mechanism).
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Because the percentage of each constituent can be varied, with any mixture the entire range of possible variations is called a system. In this respect, all of the various forms of an alloy containing only two constituents, like iron and carbon, is called a binary system, while all of the alloy combinations possible with a ternary alloy, such as alloys of iron, carbon and chromium, is called a ternary system.Bauccio, Michael (1003) ASM metals reference book. ASM International. .
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Larghetto 3/4 B major The structure of the third movement is close to ternary form. The lyrical opening theme, Excerpt 9, is supposed to have originated from Excerpts 1 and 4. The first part of this movement is in ternary form itself, and Excerpt 9 reappears after the exposition of Excerpt 10. In the second part of this movement, a passionate melody is exhibited by the first violin over the accompaniment of extended arpeggios (Excerpt 11).
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One early calculating machine, built entirely from wood by Thomas Fowler in 1840, operated in balanced ternary. The first modern, electronic ternary computer, Setun, was built in 1958 in the Soviet Union at the Moscow State University by Nikolay Brusentsov,. and it had notable advantages over the binary computers that eventually replaced it, such as lower electricity consumption and lower production cost. In 1970 Brusentsov built an enhanced version of the computer, which he called Setun-70.
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The TCM / AMI ISDN line system, also referred to as TCM-ISDN, is used by Nippon Telegraph and Telephone in its "INS-Net 64" service. Appendix III of G.961 specifies a line system based on the Time Compression Multiplex (TCM) duplex method and an alternate mark inversion (AMI) line code. The AMI line code maps one input bit to one ternary symbol. Like with MMS43, the ternary symbol can either be a positive (+), zero (0), or negative (-) voltage.
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The signaling complex at the cell surface is believed to be a ternary complex formed between two identical FGF ligands, two identical FGFR subunits, and either one or two heparan sulfate chains.
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Sergei Lebedev developed one of the first universally programmable computers in continental Europe in 1950, MESM. The first ternary computer Setun was developed by Nikolay Brusentsov, together with Sergei Sobolev in 1958.
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In the case of ternary isothermal liquid-liquid equilibria, the spinodal curve (obtained from the Hessian matrix) and the corresponding critical point can be used to help the experimental data correlation process.
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Since CAP can bind profilin via a proline-rich domain, and G-actin via a C-terminal domain, it has been suggested that a ternary G-actin/CAP/profilin complex could be formed.
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The opening bars of No. 3 in B major. It is in ternary form A-B-A. The first section is marked allegretto. The main theme is chromatic, but filled with nostalgic energy.
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For illustration, let n = (w,↝) be the nested word over a ternary alphabet with w=abaabccca and matching relation }. Then its encoding as word reads as φ(n) = a⟩⟨b⟨aa⟩⟨bcc⟩⟨ca.
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In computational geometry, a CC system or counterclockwise system is a ternary relation introduced by Donald Knuth to model the clockwise ordering of triples of points in general position in the Euclidean plane.
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The soprano aria, "" (God's angels never yield), is lyrical and dancing. The string accompaniment uses parallel thirds and sixths. It is stylistically similar to a minuet, and is formally an adapted ternary structure.
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LiAu3B is a ternary metal , consisting of the three elements lithium, gold and boron. The material is stable under extraction of its lithium atoms, during which it experiences a volume deviation of 0.42%.
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The ternary cubic is one of the few cases of a form of degree greater than 2 in more than 2 variables whose ring of invariants was calculated explicitly in the 19th century.
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Flammability diagram for methane A ternary plot, ternary graph, triangle plot, simplex plot, Gibbs triangle or de Finetti diagram is a barycentric plot on three variables which sum to a constant. It graphically depicts the ratios of the three variables as positions in an equilateral triangle. It is used in physical chemistry, petrology, mineralogy, metallurgy, and other physical sciences to show the compositions of systems composed of three species. In population genetics, it is often called a de Finetti diagram.
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Besides stimulating the ATPase activity of DnaK through its J-domain, DnaJ also associates with unfolded polypeptide chains and prevents their aggregation. Thus, DnaK and DnaJ may bind to one and the same polypeptide chain to form a ternary complex. The formation of a ternary complex may result in cis-interaction of the J-domain of DnaJ with the ATPase domain of DnaK. An unfolded polypeptide may enter the chaperone cycle by associating first either with ATP-liganded DnaK or with DnaJ.
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With Bernd Matthias of UCSD, she started to work on metal cluster formation in superconducting ternary transition metal compounds. Her extensive knowledge of structural inorganic chemistry enabled her to predict inorganic crystal structures and led to the discovery the superconducting rare earth ternary borides. In 1980 she changed direction and began research on contact metallization on InGaAsP/InP multi-quantum well layers used as high speed digital lasers in the internet. She designed a temperature-dependent in- situ annealing X-ray diffractometer.
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The N-acetyltransferase reaction has been suggested to be the rate-determining step, and thus Serotonin N-acetyltransferase has emerged as a target for inhibitor design (see below). AANAT obeys an ordered ternary- complex mechanism. The substrates bind sequentially (ordered) with acetyl-CoA binding to the free enzyme followed by the binding of serotonin to form the ternary complex. After the transfer of the acetyl group has occurred, the products are orderly released with N-acetyl-serotonin first and CoA last.
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In 1840 Fowler produced a mechanical calculating machine which operated using balanced ternary arithmetic. This machine was designed to give mechanical form to the techniques described in his book, Tables for Facilitating Arithmetical Calculations. The choice of balanced ternary allowed the mechanisms to be simple, though the values had to be converted to balanced ternary before processing and the results converted back to decimal at the end of the calculation. Apprehensive in case his ideas should again be stolen, he designed and built the machine single-handed from wood in the workshop attached to his printing business. To compensate for the limited precision achievable using wooden components, he constructed the machine on a large scale; it was 6 feet long by 3 feet deep and 1 foot high (1800 x 900 x 300 mm).
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The Cantor set consists of the points from 0 to 1 that have a ternary expression that does not contain any instance of the digit 1. Any terminating expansion in the ternary system is equivalent to the expression that is identical up to the term preceding the last non-zero term followed by the term one less than the last nonzero term of the first expression, followed by an infinite tail of twos. For example: 0.1020 is equivalent to 0.1012222... because the expansions are the same until the "two" of the first expression, the two was decremented in the second expansion, and trailing zeros were replaced with trailing twos in the second expression. Ternary is the integer base with the lowest radix economy, followed closely by binary and quaternary.
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The works of 2016 brought up the new size distributions describing length statistics in nanowire ensembles [9,10]. In 2015-2016, he developed the first theory for the compositional control of ternary III-V nanowires [11], sharpening their axial heterointerfaces [12] and, more generally, nucleation theory of ternary solids from ternary and quaternary liquid alloys. He contributed into understanding the VLS versus selective area growth of nanowires [13] and self-induced nucleation of GaN nanowires on silicon substrates [14]. ;Classical nucleation theory In 2009, Dubrovskii discovered fluctuation-induced broadening (the Dubrovskii broadening) of the size distributions described by a Fokker-Planck type kinetic equation in terms of the Kuni invariant variables [15], and presented a map of the power exponents for the spectrum spreading in 2D and 3D systems.
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Eight-bar linkages are classified by how many binary, ternary and quaternary links they have. A binary link connects two joints, a ternary link connects three joints and a quaternary link connects four joints. There are three classes of eight-bar linkage denoted (4, 4, 0, 0), (5, 2, 1, 0) and (6, 0, 2, 0), distinguished by the count of binary, ternary and quaternary links, when read from left to right---the final zero is traditionally added to the class label though no eight-bar linkage has a quintanary link.. There are sixteen different topologies of eight-bar linkages which are distinguished by their non-isomorphic linkage graphs. Of these 16 topologies, nine are in class (4, 4, 0, 0), five are in (5, 2, 1, 0) and two in (6, 0, 2, 0).
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Another geometric example can be obtained by considering triples consisting of two points and a line, where a triple is in the ternary relation if the two points determine (are incident with) the line.
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Binary (involving one other metal) and ternary (involving two other metals) intermetallic stannides have been investigated. Niobium stannide, Nb3Sn is perhaps the best known superconducting tin intermetallics. This is more commonly called "niobium-tin".
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A k-ary tree is a rooted tree in which each vertex has at most k children.See 2-ary trees are often called binary trees, while 3-ary trees are sometimes called ternary trees.
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The last section, which is Moderato also, is a repeat of the first section, but without the repeat. It is that which makes the piece an incipient ternary song form: A-A-B-A.
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273 (two hundred [and] seventy-three) is the natural number following 272 and preceding 274. 273 is a figurate number, a truncated triangular pyramid number. There are 273 different ternary trees with five nodes.
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Sipress, Jack M. "Error detection in paired selected ternary code trains." U.S. Patent No. 3,418,631. 24 Dec. 1968. At Bell Labs from 1976 to 1978 he was involved in the development of satellite systems.
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An internal termination impedance of is presented to the line at each end of the U-interface. A 1 ms frame carrying 144 bits of 2B+D data is mapped to 108 ternary symbols.
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The standard aria dal segno form is interlaced with examples of abbreviated rondo form (ABAB) and through- composed ternary arias. Some of the music suggests themes from the works of the widely influential Tommaso Traetta.
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In addition to his researches in organic chemistry, Wright published works on numerous topics including soap, photographic and waterproof papers, canvas goods, insulating materials, disinfectants, metallurgy, iron smelting, manganese dioxide, ternary alloys, and chemical dynamics.
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The dominant location of obscurin in mature myofibrils is at the sarcomeric M-band. Titin, obscurin, obscurin-like-1 and myomesin form a ternary complex at sarcomeric M-bands that is critical for sarcomere mechanics.
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Examples include the scherzo and trio (second movement) from Beethoven's Symphony No. 9 and the scherzo and trio in Schubert's String Quintet. Another name for the latter is "composite ternary form". Trio form movements (especially scherzos) written from the early romantic era sometimes include a short coda (a unique ending to complete the entire movement) and possibly a short introduction. The second movement of Beethoven's Symphony No. 9 is written in this style which can be diagrammed as Polkas are also often in compound-ternary form.
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For potential efficiency reasons, IOTA's data structures uses a balanced ternary implementation; instead of bits, it uses trits (−1, 0, 1). With all existing hash designs being binary, a ternary prototype called Curl-P had been developed, instead of the well-studied alternatives that underpin other digital coins. However, efficient cryptanalytic attacks on Curl-P have been devised, implying that it cannot be considered a strong cryptographic hash function. After vulnerabilities were detected in Curl-P, the hashing algorithm was changed to Kerl, which is considered safe.
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One can construct a coordinate "ring"--a so- called planar ternary ring (not a genuine ring)--corresponding to any projective plane. A planar ternary ring need not be a field or division ring, and there are many projective planes that are not constructed from a division ring. They are called non-Desarguesian projective planes and are an active area of research. The Cayley plane (OP2), a projective plane over the octonions, is one of these because the octonions do not form a division ring.
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Other methods of separation involve introducing an additional agent, called an entrainer, that will affect the volatility of one of the azeotrope constituents more than another. When an entrainer is added to a binary azeotrope to form a ternary azeotrope, and the resulting mixture distilled, the method is called azeotropic distillation. The best known example is adding benzene or cyclohexane to the water/ethanol azeotrope. With cyclohexane as the entrainer, the ternary azeotrope is 7% water, 17% ethanol, and 76% cyclohexane, and boils at 62.1 °C.
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The Holacracy system was developed at Ternary Software, an Exton, Pennsylvania company that was noted for experimenting with more democratic forms of organizational governance. Ternary founder Brian Robertson distilled the company's best practices into an organizational system that became known as Holacracy in 2007. Robertson later developed the "Holacracy Constitution", which lays out the core principles and practices of the system. In June 2015, he released the book Holacracy: The New Management System for a Rapidly Changing World, that details and explains his practices.
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The work's duration is about 20 minutes. There are four movements: The first movement, in C major, is not in the usual sonata form of a first movement, but in ternary form: there is a lyrical opening theme, with an energetic moment; a central part based on the energetic moment heard earlier; the opening theme briefly returns. The whole movement is an introduction, concluding with a link to the following music. The second movement, a slow movement in E major, is also in ternary form.
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When this process is begun at (3, 1), the resulting ternary tree contains every such (u, v) pair exactly once, and when converted into (a, b, c) triples it becomes identical to the tree described above.
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The second movement, a dance movement in ternary form, is in time. It has been described as a "limping" waltz. The opening contrasts with the darker B section. A graceful coda leads to a quiet ending.
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Sigmund Gundelfinger (14 February 1846 in Kirchberg an der Jagst – 13 December 1910 in Darmstadt) was a German-Jewish mathematician who introduced the Gundelfinger quartic and proved the completeness of the invariants of a ternary cubic.
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In turn, the senary logic refers to an extension of Jan Łukasiewicz's and Stephen Cole Kleene's ternary logic systems adjusted to explain the logic of statistical tests and missing data patterns in sciences using empirical methods.
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In 1946, he published Ternary and quaternary elimination, which extends work by mathematicians Francis Sowerby Macaulay and Bartel Leendert van der Waerden, and also extends work done by Frank Morley and Coble some 20 years earlier.
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It is filled with rapid semiquavers derived from the cyclic theme (excerpt 4). The end of the scherzo part, which in itself comprises a ternary form, leads into a shortened recapitulation of excerpt 5 in B major.
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Ternary superhydrides open up the possibility of many more formulas. For example a carbonaceous sulfur hydride is a superconductor up to 15°C (approaching room temperature) and Li2MgH16 may also be superconducting at high temperatures (200°C).
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In three variables, compositional data in three variables can be plotted via ternary plots. The use of a barycentric plot on three variables graphically depicts the ratios of the three variables as positions in an equilateral triangle.
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A ternary equivalence relation on a set is a relation , written , that satisfies the following axioms: #Symmetry: If then and . (Therefore also , , and .) #Reflexivity: . Equivalently, if , , and are not all distinct, then . #Transitivity: If and and then .
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This piece is divided into three movements. The first movement, Fantasia, begins with plucked chords, strumming downwards, then alternates between these chords and a bowed melody. This comprises the A section. The fantasia follows a ternary form.
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Using photographic techniques, he investigated ternary fission, a comparatively rare type of nuclear fission in which the nucleus breaks into three pieces instead of two. This occurs in only about one in 500 fission events, so was not easy to observe. He examined the cloud chamber tracks of over one million events, finding about a thousand ternary alpha particle tracks with energy of between 15 MeV and 30 MeV, emitted at 90° to the two heavy fragments. He also researched the photodisintegration of light nuclei by gamma rays.
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Where the signal is usually grounded to a certain reference, or at a certain voltage level, the state is said to be high impedance because it is open and serves its own reference. Thus, the actual voltage level is sometimes unpredictable. Visualization of ternary numeral system A rare "ternary point" in common use is for defensive statistics in American baseball (usually just for pitchers), to denote fractional parts of an inning. Since the team on offense is allowed three outs, each out is considered one third of a defensive inning and is denoted as .1.
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The heavier phase, poor in the entrainer (benzene or cyclohexane), is stripped of the entrainer and recycled to the feed—while the lighter phase, with condensate from the stripping, is recycled to the second column. Another early method, called extractive distillation, consists of adding a ternary component that increases ethanol's relative volatility. When the ternary mixture is distilled, it produces anhydrous ethanol on the top stream of the column. With increasing attention being paid to saving energy, many methods have been proposed that avoid distillation altogether for dehydration.
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TnC, forming a complex with cTnI, changes the conformation of cTnI molecule and shields part of its surface. According to the latest data cTnI is released in the blood stream of the patient in the form of binary complex with TnC or ternary complex with cTnT and TnC. cTnI-TnC complex formation plays an important positive role in improving the stability of cTnI molecule. cTnI, which is extremely unstable in its free form, demonstrates significantly better stability in complex with TnC or in ternary cTnI-cTnT-TnC complex.
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It is suggested that AANAT catalyzes the transfer of an acetyl group from acetyl-CoA to serotonin, with the involvement of an intermediate ternary complex, to produce N-acetylserotonin. Based on this mechanism, it might be expected that a bisubstrate analog inhibitor, derived from the tethering of indole and CoASH parts, could potentially mimic the ternary complex and exert strong inhibition of AANAT. The first bisubstrate analog (1), which links tryptamine and CoA via an acetyl bridge, was synthesized by Khalil and Cole, and shown to be a very potent and specific AANAT inhibitor.
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Set in E major, the piece begins with a lively scale-based and often chromatic melody in triplets; it is in compound ternary form (the A section is in ternary form itself). The middle subsection of the A section is in E minor and is naturally darker than the opening though still very lyrical. The section ends with two oscillating figures which act as an important bridge both here and later. The first subsection repeats but moves quickly into a codetta which reasserts E minor and the darker feeling of the middle subsection.
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Memory filled this way will repeat every twelve addresses (the individual ternary digits will repeat every three or four addresses, so a group of ternary digits is guaranteed to repeat every twelve). In 2007, Ørjan Johansen created Malbolge Unshackled, a version of Malbolge which does not have the arbitrary memory limit. The hope was to create a Turing-Complete language while keeping as much in the spirit of Malbolge. No other rules are changed, and all Malbolge programs that do not reach the memory limit are completely functional.
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The protein encoded by this gene is the alpha (α) subunit of the translation initiation factor eIF2 complex which catalyzes an early regulated step of protein synthesis initiation, promoting the binding of the initiator tRNA (Met-tRNAiMet) to 40S ribosomal subunits. Binding occurs as a ternary complex of methionyl-tRNA, eIF2, and GTP. eIF2 is composed of 3 nonidentical subunits, alpha (α, 36 kD, this article), beta (β, 38 kD), and gamma (γ, 52 kD). The rate of formation of the ternary complex is modulated by the phosphorylation state of eIF2α.
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It is assumed that the synthesis of spermidine follows the Sn2 mechanism. There is some uncertainty if the reaction occurs via a ping-pong or via a ternary-complex mechanism. Some kinetic data, but not all, suggest a ping-pong mechanism, while the investigation of the stereochemical path of the reaction argues for a ternary- complex mechanism. Prior to the nucleophilic attack of the putrescine onto the S-adenosylmethioninamine the putrescine has to be deprotonated rendering the nitrogen nucleophilic since the putrescine is protonated at physiological pH and is therefore inactive.
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Generally however, there is no clear structure that the piece fits easily into; neither ternary form nor binary form fit in with the style of the piece. Some say (who?) that the pentatonic section forms the B part but, in truth, it is not clear enough to state it is definitely ABA. Others argue that it follows a Rounded Binary form more than Ternary form due to the fact that there is an A part, B part and then another bit at the end, concluding all of his ideas.
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Together with α4 and PP2A, MID1 can form a ternary complex in which α4 acts as an adaptor protein. The data so far indicate that MID1 promotes α4 mono-ubiquitination, leading to its calpain- dependent cleavage that in turn causes PP2A catalytic subunit (PP2Ac) polyubiquitination and proteasomal degradation. Since PP2A is involved in many cellular processes, the MID1-α4-PP2A ternary complex may be involved in the regulation of several of them, mainly on microtubules. The complex can modulate mTORC1 signalling; indeed PP2A attenuates mTORC1 activity through dephosphorylation.
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While the form of this Prelude may at first appear to be ternary, the actual structure is in fact a distorted version of strict ternary form. The A section is a single phrase at measures 1–16 which repeats in measures 16–32. The sixteenth-note figure that spreads throughout the work is introduced in measure 1 over a tonic pedal point. The first note of each measure through measure 10 reveals a descending chromatic pattern, perhaps adding to the sense of dread or urgency of the work.
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These can include grains which are sand-sized themselves (a granitic rock fragment), or finer-grained materials (shale fragments). This definition is used for QFR ternary diagrams, provenance analysis, and in the Folk classification scheme, mainly in sandstones.
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The second movement is in F major, time. The middle section is in B major. It takes the form of a march in ternary form, and is characterized by dotted rhythms, harmonic dislocation and alternation between static and accelerando.
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Recruitment of WRKY33 depends on the phosphorylation of MPK4. Once activated, MPK3 phosphorylates MKS1, which releases WRKY33 from the ternary complex. The free WRKY33 is believed to induce transcription on target genes., allowing for a negative regulation by MPK4.
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A binary operation f on a set S may be viewed as a ternary relation on S, that is, the set of triples (a, b, f(a,b)) in S × S × S for all a and b in S.
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Metallic glasses based on the Mg-Zn-Ca ternary alloy system only consist of the elements which already exist inside the human body. As such, it is being explored as a potential bioresorbable biomaterial for use in orthopaedic applications.
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The value used by Kannari et al., 8 cm3s−1, has no basis. For ternary mixtures, the role of the buffer gas is not well known. For argon, (3 ± 1) cm3s−1 and (1.5 ± 0.4) cm3s−1 are available.
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The structure of the ternary complex of MPO, cyanide and bromide is thought to be a good model for the compound I-halide complex due to its similar geometry (cf. 1D7W). The nitrite ion also binds tightly, forming low-spin heme.
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Fields due to color charges, like in quarks (G is the gluon field strength tensor). These are "colorless" combinations. Top: Color charge has "ternary neutral states" as well as binary neutrality (analogous to electric charge). Bottom: The quark/antiquark combinations.
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Chalcogens also bond with other pnictogens, such as arsenic, antimony, and bismuth. Heavier chalcogen pnictides tend to form ribbon-like polymers instead of individual molecules. Chemical formulas of these compounds include Bi2S3 and Sb2Se3. Ternary chalcogen pnictides are also known.
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This slow and melancholic second movement takes a ternary form of A–B–A. The outer sections (A sections) bear a lyrical and gentle quality, while the middle section (B section) has difficult triplets runs that give a rather tense feeling.
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All opto-isolators described so far are uni-directional. Optical channel always works one way, from the source (LED) to the sensor. The sensors, be they photoresistors, photodiodes or phototransistors, cannot emit light.Exception: Ternary and quaternary GaAsP photodiodes can generate light.
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McCormick, John K., Tripp, Timothy J., et al. (August 2003). "Functional Analysis of the TCR Binding Domain of Toxic Shock Syndrome Toxin-1 Predicts Further Diversity in MHC Class II/Superantigen/TCR Ternary Complexes". The Journal of Immunology 171:185-1392.
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Column capital with pattern evocative of the Cantor set, but expressed in binary rather than ternary. Engraving of Île de Philae from Description d'Égypte by Jean-Baptiste Prosper Jollois and Édouard Devilliers, Imprimerie Impériale, Paris, 1809-1828 Cantor himself defined the set in a general, abstract way, and mentioned the ternary construction only in passing, as an example of a more general idea, that of a perfect set that is nowhere dense. The original paper provides several different constructions of the abstract concept. This set would have been considered abstract at the time when Cantor devised it.
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Phase diagram of the GeSbTe ternary alloy system GeSbTe is a ternary compound of germanium, antimony, and tellurium, with composition GeTe-Sb2Te3. In the GeSbTe system, there is a pseudo-line as shown upon which most of the alloys lie. Moving down this pseudo-line, it can be seen that as we go from Sb2Te3 to GeTe, the melting point and glass transition temperature of the materials increase, crystallization speed decreases and data retention increases. Hence, in order to get high data transfer rate, we need to use material with fast crystallization speed such as Sb2Te3.
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The work is in four movements: The first movement is built from two strongly contrasting motifs, the first one energetic and repetitive, the second lyrical, based on the style of certain folk tunes from the northeast of Brazil . A recapitulation of the initial material, transposed a minor third upward, is followed by a development section and stretto, diminishing and accelerating to the end of the movement . The second movement is in ternary form with alterations to the returning opening part (ABA'), ending with an extended coda. Each of the main sections is cast in either rounded binary or ternary form.
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Addition of an entraining agent, such as benzene, cyclohexane, or heptane, allows a new ternary azeotrope comprising the ethanol, water, and the entraining agent to be formed. This lower-boiling ternary azeotrope is removed preferentially, leading to water-free ethanol. At pressures less than atmospheric pressure, the composition of the ethanol-water azeotrope shifts to more ethanol-rich mixtures, and at pressures less than 70 torr (9.333 kPa), there is no azeotrope, and it is possible to distill absolute ethanol from an ethanol-water mixture. While vacuum distillation of ethanol is not presently economical, pressure-swing distillation is a topic of current research.
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The most common small fragments, however, are composed of 90% helium-4 nuclei with more energy than alpha particles from alpha decay (so- called "long range alphas" at ~ 16 MeV), plus helium-6 nuclei, and tritons (the nuclei of tritium). The ternary process is less common, but still ends up producing significant helium-4 and tritium gas buildup in the fuel rods of modern nuclear reactors.S. Vermote, et al. (2008) "Comparative study of the ternary particle emission in 243-Cm (nth,f) and 244-Cm(SF)" in Dynamical aspects of nuclear fission: proceedings of the 6th International Conference.
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This contained a table of binary numbers for values from 1 to 130048, and a table of balanced ternary numbers from 1 to 3985807 along with instructions on how to use the tables to simplify the types of calculations he needed to perform.
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There are two crystalline forms, α-AlB12, and γ-AlB12. Both forms are very similar and consist of a framework with three-dimensional networks of B12 and B20 units. The phase β-AlB12 is now believed to be the ternary boride C2Al3B48.
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Cantor himself mentioned the ternary construction only in passing, as an example of a more general idea, that of a perfect set that is nowhere dense. Zoom in Cantor set. Each point in the set is represented here by a vertical line.
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The central section is based on the song "O Bastão ou mia gato" (The Stick or a Cat's Meow), played in harmonics in all four instruments, after which the opening section, minus the introduction, is repeated to create an ABA ternary form .
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The work has four movements: # Allegro molto (B minor, sonata form) # Andante (E major, sonata form) # Allegro molto (F-sharp minor, ternary form, trio in B major) # Allegro vivace (B minor, sonata form) A typical performance lasts just over half an hour.
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The composition studies the whole tone scale intensively, with the exception of a brief six-measure section in the pentatonic scale. The structure of the piece follows a ternary (A–B–A') form. A begins in m. 1; B begins in m.
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Think of a rule as a "local-model" of the solution space. Rules can be represented in many different ways to handle different data types (e.g. binary, discrete-valued, ordinal, continuous- valued). Given binary data LCS traditionally applies a ternary rule representation (i.e.
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They exhibit higher electrical conductivity than GaN. GaP can also be synthesized by reacting with phosphorus at low temperatures. Gallium forms ternary nitrides; for example: : + → Similar compounds with phosphorus and arsenic are possible: and . These compounds are easily hydrolyzed by dilute acids and water.
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He hurried back to Hamburg, in order to give himself up to his work.”Neimann, 1929. Brahms completed an initial setting of Hölderlin's two verses in ternary form with the third movement being a complete restatement of the first.Michael Steinberg. Choral Masterworks: A Listener’s Guide.
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For example, in clockwise order, [east, south, west]. By currying the arguments of the ternary relation , one can think of a cyclic order as a one-parameter family of binary order relations, called cuts, or as a two-parameter family of subsets of , called intervals.
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Class diagram example of association between two classes An association represents a family of links. A binary association (with two ends) is normally represented as a line. An association can link any number of classes. An association with three links is called a ternary association.
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More typically binary phase refers to extended solids. Famous examples zinc sulfide, which contains zinc and sulfur, and tungsten carbide, which contains tungsten and carbon. Phases with higher degrees of complexity feature more elements, e.g. three elements in ternary phases, four elements in quaternary phases.
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Finally, with the help of the guanine nucleotide exchange factor (GEF) eIF2B,eIF2B consists of the sub-units EIF2B1, EIF2B2, EIF2B3, EIF2B4, EIF2B5 the GDP in eIF2 is exchanged for a GTP and the ternary complex reforms for a new round of translation initiation.
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The usual composition of two binary relations as defined here can be obtained by taking their join, leading to a ternary relation, followed by a projection that removes the middle component. For example, in the query language SQL there is the operation Join (SQL).
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Such a homeomorphism is given by using ternary notation of numbers. (See Cantor space.) In the foundations of mathematics, the study of compactness properties of products of {0,1} is central to the topological approach to the ultrafilter principle, which is a weak form of choice.
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By adhering to this sum of two elements that precede it, provides support for binary structures. Furthermore, the possibility of ternary branching would deviate from the Fibonacci sequence and consequently would not hold as strong support to the relevance of Natural Law in syntax.
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A classical piano concerto is often in three movements. #A moderately quick opening movement in sonata allegro form often including a virtuoso cadenza (which may be improvised by the soloist). #A slow movement that is freer and more expressive and lyrical. Usually in Ternary form.
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1217–1243, 2003. can in principle be used for building a C-element. In the multiple-valued case, however, connecting the output of majority gate to one or several inputs may have no desirable effect. For example, using the ternary majority function defined asV.
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The number of operands of an operator is called its arity.: "Each connective has associated with it a natural number, called its rank, or arity." Based on arity, operators are classified as nullary (no operands), unary (1 operand), binary (2 operands), ternary (3 operands), etc.
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Coronadite is a black monoclinic mineral containing a ternary oxide of lead and manganese in two oxidation states. The mineral was named after Francisco Vasquez de Coronado who was an explorer of southwest USA. The name was made up by Waldemar Lindgren in 1905.
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Various forms of fast RAM and, eventually, basic content addressable memory (CAM) were used to speed lookup. CAM, while useful in layer 2 switches that needed to look up a relatively small number of fixed- length MAC addresses, had limited utility with IP addresses having variable- length routing prefixes (see Classless Inter-Domain Routing). Ternary CAM (CAM), while expensive, lends itself to variable-length prefix lookups.Efficient Mapping of Range Classifier into Ternary-CAM, IEEE Symposium on High-Speed Interconnects, H. Liu,August 2002 One of the challenges of forwarder lookup design is to minimize the amount of specialized memory needed, and, increasingly, to minimize the power consumed by memory.
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The quartet consists of the traditional four movements: # Allegro non troppo # Lento # Scherzo (Allegro vivace) # Allegro vivace (con fuoco) The first movement is in ternary, ABA form, rather than the expected sonata-allegro form, and has a long concluding coda of thirty-seven measures . The second movement is also in ternary form and has the character of the improvised instrumental serenade called a choro . The third movement is a traditional scherzo with trio, followed by a concluding coda . The finale breaks with traditional forms, offering instead a succession of three unrelated sections, a transition, and a recapitulation of the first half of section one, and an extended coda .
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Binary CAM is the simplest type of CAM which uses data search words consisting entirely of 1s and 0s. Ternary CAM (TCAM) allows a third matching state of "X" or "don't care" for one or more bits in the stored dataword, thus adding flexibility to the search. For example, a ternary CAM might have a stored word of "10XX0" which will match any of the four search words "10000", "10010", "10100", or "10110". The added search flexibility comes at an additional cost over binary CAM as the internal memory cell must now encode three possible states instead of the two for the binary CAM.
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Binding experiments indicate that mitochondrial aspartate aminotransferase can associate with the alpha-ketoglutarate dehydrogenase complex and that mitochondrial malate dehydrogenase can associate with this binary complex to form a ternary complex. Formation of this ternary complex enables low levels of the alpha-ketoglutarate dehydrogenase complex, in the presence of the aminotransferase, to reverse inhibition of malate oxidation by glutamate. Thus, glutamate can react with the aminotransferase in this complex without glutamate inhibiting production of oxaloacetate by the malate dehydrogenase in the complex. The conversion of glutamate to alpha- ketoglutarate could also be facilitated because in the trienzyme complex, oxaloacetate might be directly transferred from malate dehydrogenase to the aminotransferase.
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The modulatory passage between the first and second subjects (mm. 33–45) explores the opening chord, but in a minor variation (with a C, implying ii7 of E minor), even appearing in bar 36 in the exact spacing (albeit with different spelling) of the Tristan chord, written by Richard Wagner some 55 years later. This scherzo is different from regular scherzos, as it is written in time as opposed to , and because it is in sonata form rather than ternary form. This wasn't the first time Beethoven wrote a scherzo not in ternary form; the Op. 14, No. 2 sonata has a scherzo, in rondo form, as its finale.
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Sent at 25 Mtrit/s, this achieves a Mbit/s effective data rate. The trit pair consisting of two transitions of SDA only is not used to encode data, and is instead used for framing, to mark the end of an HDR sequence. Although this limits the maximum time between SCL transitions to three trit times, that exceeds the 50 ns limit for legacy I²C devices, so HDR-TSP (ternary symbol, pure) mode may only be used on a bus without legacy I²C devices. To permit buses including I²C devices (with a spike filter), the HDR-TSL (ternary symbol, legacy) mode must be used.
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The prelude is ternary and homophonic in nature. The "A" section (measures 1–13) introduces the first theme, section "B" (13–30) introduces a new set of variations, and measures 30–41 mark an altered return to the original "A" theme. Each of the larger ternary sections contains its set of "micro-variations" marked by changes in note values, dynamics, and rhythm. For instance, the "A" theme, introduced in measures 1 and 2, is varied in measure 8. 300px Measure 2 300px Measure 8 The Prelude proceeds from F-sharp minor to the relative major (A major) in measure 13, and returns to the tonic in measure 30.
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The London Philharmonic Orchestra also performed. The main idea was to create a modern song using classical forms, such as rondo and ternary. The lyrics themselves have no meaning. The vocals are simply used as another instrument to make music and not to convey any message.
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A molecular formula provides more information about a molecule than its empirical formula, but is more difficult to establish. A molecular formula shows the number of elements in a molecule, and determines whether it is a binary compound, ternary compound, quaternary compound, or has even more elements.
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For example, [June, October, February]. A ternary relation is called a cyclic order if it is cyclic, asymmetric, transitive, and total. Dropping the "total" requirement results in a partial cyclic order. A set with a cyclic order is called a cyclically ordered set or simply a cycle.
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A higher energy version of alphas than produced in alpha decay is a common product of an uncommon nuclear fission result called ternary fission. However, helium nuclei produced by particle accelerators (cyclotrons, synchrotrons, and the like) are less likely to be referred to as "alpha particles".
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Ternary metal hydrides have the formula AxMHn, where A+ is an alkali or alkaline earth metal cation, e.g. K+ and Mg2+. A celebrated example is K2ReH9, a salt containing two K+ ions and the ReH92− anion. Other homoleptic metal hydrides include the anions in Mg2FeH6 and Mg2NiH4.
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Chopin's fourth nocturne, it was composed in 1832 in simple ternary form (A-B-A). The first section in F major is marked Andante cantabile while the second section in F minor is fast and dramatic (Con fuoco). The second theme of No. 1 in F minor.
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Because balanced ternary provides a uniform self- contained representation for integers, the distinction between signed and unsigned numerals no longer needs to be made; thereby eliminating the need to duplicate operator sets into signed and unsigned varieties, as most CPU architectures and many programming languages currently do.
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Azeotropes consisting of two constituents are called binary azeotropes such as diethyl ether (33%) / halothane (66%) a mixture once commonly used in anesthesia. For example, benzene and hexafluorobenzene form a double binary azeotrope. Azeotropes consisting of three constituents are called ternary azeotropes, e.g. acetone / methanol / chloroform.
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Compounds of nickel with other metals can be called alloys. The substances with fixed composition include nickel aluminide (NiAl) melting at 1638° with hexagonal structure. NiY, NiY3, Ni3Y, Ni4Y, NiGd3, BaNi2Ge2 changes structure from orthorhombic to tetragonal around 480 °C. This is a ternary intermetallic compound.
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These advantages make some calculations more efficient in ternary than binary. Considering that digit signs are mandatory, and nonzero digits are magnitude 1 only, notation that drops the '1's and use only zero and the + − signs is more concise than if 1's are included.
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Legend says that this type of joropo is named after Jose Antonio Oquendo , who was nicknamed "Quirpa" . Burrowing harpist of the late nineteenth century who died of a stab wound . The quirpa uses ternary and tertiary bars and sometimes combined, with shifts of rhythm and musical accents .
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The 43S preinitiation complex (43S PIC) is a ribonucleoprotein complex that exists during an early step of eukaryotic translation initiation. The 43S PIC contains the small ribosomal subunit (40S) bound by the initiation factors eIF1, eIF1A, eIF3, and the eIF2-Met-tRNAiMet-GTP ternary complex (eIF2-TC).
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Colorines, like most of Revueltas's single-movement works, is constructed in a ternary ABA form, with a fast-slow- fast tempo structure. The arrangement of tempos is a natural consequence of the lyrical development of melodic thematic materials as they progressively unfold the narrative of the work .
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She was elected to replace Magistrate Manuel José Cepeda Espinosa by the Senate from a ternary submitted by President Álvaro Uribe Vélez, receiving 76 of the votes over her fellow nominees, Zayda del Carmen Barrero de Noguera and José Fernando Torres. The nomination and subsequent election process, as well as that of her fellow magistrate Jorge Pretelt Chlajub which occurred at the same time, were criticised by Elección Visible, an election watchdog organization, for lack of transparency and the clear existence of back-door deals that permitted their election to have been secured from the beginning, and thus ignoring the ternary nomination process in which three compelling candidates are nominated and the Senate elects the best option; in their respective cases, each ternary list was composed of the favourite candidate and two lesser choices. This lack of seriousness in the process was coupled in the media with the perception that President Uribe broke tradition by nominating candidates who were neither constitutional scholars, respected professors in academia, nor held a PhDin marked contrast to their predecessors in the Court.
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In Western classical music a simple ternary form has a third section that is a recapitulation of the first (ABA). Often, the first section is repeated (AABA). This approach was popular in the 18th-century operatic aria, and was called da capo (i.e. "repeat from the top") form.
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The value of a binary number with n bits that are all 1 is . Similarly, for a number N(b, d) with base b and d digits, all of which are the maximal digit value , we can write: : : :. : and :, so :, or : Then : : : For a three-digit ternary number, .
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Expanded ternary forms are especially common among Romantic-era composers; for example, Chopin's "Military" Polonaise (Op. 40, No. 1) is in the form , where the A and B sections and C and D sections are repeated as a group, and the original theme returning at the end without repeats.
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Binary and ternary rhythms and meter are said to originate in human movement. Inh.=Inhalation, Exh.=Exhalation. In music and prosody, arsis and thesis (plural arses and theses)Plural arses: New Oxford English Dictionary (1998); cf. Google ngrams ("arseis" is not found on ngrams, though used by Lynch (2016)).
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The Lied is the shortest movement. In ternary A-B-A form, it is also sparser and more pensive than the other two. Its basic tonality is D-flat major although some degree of modal-tonal ambiguity is again noticeable. It begins in with some meter changes later on.
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CRC Handbook of Chemistry and Physics, 44th ed., p. 2181 Just enough cyclohexane is added to the water/ethanol azeotrope to engage all of the water into the ternary azeotrope. When the mixture is then boiled, the azeotrope vaporizes leaving a residue composed almost entirely of the excess ethanol.
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A large number of additional alkali and alkaline neptunium oxide compounds such as Cs4Np5O17 and Cs2Np3O10 have been characterized with various production methods. Neptunium has also been observed to form ternary oxides with many additional elements in groups 3 through 7, although these compounds are much less well studied.
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A peritectoid transformation is a type of isothermal reversible reaction that has two solid phases reacting with each other upon cooling of a binary, ternary, ..., n\\!-ary alloy to create a completely different and single solid phase.IUPAC Compendium of Chemical Terminology, Electronic version. "Peritectoid Reaction" Retrieved May 22, 2007.
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Some critics have argued that the Dante Symphony is not so much a symphony in the classical sense as it is two descriptive symphonic poems.Ewen, 517. Regardless, Dante consists of two movements, both in a loosely structured ternary form with little use of thematic transformation.Temperley, New Grove, 18:460.
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YbBiPt (ytterbium-bismuth-platinum; also named YbPtBi) is an intermetallic material which at low temperatures exhibits an extremely high value of specific heat, which is a characteristic of heavy-fermion behavior. YbBiPt has a noncentrosymmetric cubic crystal structure; in particular it belongs to the ternary half-Heusler compounds.
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A parranda is formed by three couplets paired with three verses. Its structure is similar to the beginning, ending, return, couplets and ending structure of a seguidilla. The melody is diatonic and syllabic. It has a ternary rhythm, and a tonal harmony and is played in major key.
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Therefore, they would repeat parts of their song at times, making music like sonata very repetitive, without being dull.(Bowen) Repetition is important in musical form. The repetition of any section of ternary form results in expanded ternary form and in binary form the repetition of the first section at the end of the second results in rounded binary form.(Benward & Saker, 315) Schenker argued that musical technique's, "most striking and distinctive characteristic" is repetition (Kivy, 327) while Boulez argues that a high level of interest in repetition and variation (analogy and difference, recognition and the unknown) is characteristic of all musicians, especially contemporary, and the dialectic [conversation] between the two creates musical form.
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Especially energetic alpha particles deriving from a nuclear process are produced in the relatively rare (one in a few hundred) nuclear fission process of ternary fission. In this process, three charged particles are produced from the event instead of the normal two, with the smallest of the charged particles most probably (90% probability) being an alpha particle. Such alpha particles are termed "long range alphas" since at their typical energy of 16 MeV, they are at far higher energy than is ever produced by alpha decay. Ternary fission happens in both neutron-induced fission (the nuclear reaction that happens in a nuclear reactor), and also when fissionable and fissile actinides nuclides (i.e.
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A simple construction for a Salem–Spencer set (of size considerably smaller than Behrend's bound) is to choose the ternary numbers that use only the digits 0 and 1, not 2. Such a set must be progression-free, because if two of its elements x and y are the first and second members of an arithmetic progression, the third member must have the digit two at the position of the least significant digit where x and y differ. The illustration shows a set of this form, for the three-digit ternary numbers (shifted by one to make the smallest element 1 instead of 0). Behrend's construction uses a similar idea, for a larger odd radix 2d-1.
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LINGO-1 is a co-receptor that interacts with the ligand-binding Nogo-66 receptor (NogoR) in the Nogo receptor signaling complex. The Nogo receptor complex is formed when Nogo-66 binds to its receptor. LINGO-1 is an homotetramer which forms a ternary complex with RTN4R/NGFR and RTN4R/TNFRSF19.
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Redway, CA: Bembe Books. . p. xxii. In contrast, in the rural style columbia, triple pulse is the primary structure and duple pulse is secondary. This can be explained due to the "binarization" of African-based ternary rhythms. Both the claves and the quinto (lead drum) are responsible for establishing the rhythm.
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For the lower stress levels up to 80% filling of the creep cavities with Au precipitates is achieved resulting in a substantial increase in creep life time. Work to translate the concept of creep damage healing in simple binary or ternary model systems to real multicomponent creep steels is ongoing.
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Emmerling was born in Bad Dürkheim. She studied chemistry at Albert-Ludwig University, and completed her PhD at the same institution in 2003. Her doctoral work focused on the synthesis and structural investigation of intermetallic phases and ternary oxides of the elements arsenic, antimony and bismuth in unusual valence states.
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They also gave bounds for the same. Hurkens et al. gave an exact algorithm to sort binary and ternary strings. Chitturi (2011) proved that the complexity of transforming a compatible signed string into another with the minimum number of signed prefix reversals—the burnt pancake problem on strings—is NP-complete.
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The cationic surfactant concentration in conditioners is generally of the order of 1–2% and the alcohol concentrations are usually equal to or greater than those of the cationic surfactants. The ternary system, surfactant/fatty alcohol/water, leads to a lamellar structure forming a percolated network giving rise to a gel.
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Orenstein (1991), pp. 64 (Satie), 123 (Mozart and Schubert), 124 (Chopin and Liszt), 136 (Russians), 155 (Debussy) and 218 (Couperin and Rameau) He considered himself in many ways a classicist, often using traditional structures and forms, such as the ternary, to present his new melodic and rhythmic content and innovative harmonies.
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This movement is in E-flat major, the subdominant key. Like many slow movements, it has ABA (ternary) form, where the opening section introduces the themes, and the middle section develops them. This movement was written between 1787 and 1789 in Bonn. Average performances last from eight to nine minutes.
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Mozart's German dances are, like the minuets, in ternary form, but normally with a coda added. Abert notes that the coda "in most cases relates back to the final dance and frequently includes all manner of orchestral jokes". For an example of the German dances, see Three German Dances, K. 605\.
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An oxyacid, oxoacid, or ternary acid is an acid that contains oxygen. Specifically, it is a compound that contains hydrogen, oxygen, and at least one other element, with at least one hydrogen atom bond to oxygen that can dissociate to produce the H+ cation and the anion of the acid.
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A bass arioso sets two more verses from the psalm, ' (Day and night are Yours). In ternary form, the outer sections are a sarabande, dealing with day and night, while the middle section describes light and sun, with a joyful motif in the continuo and word-painting in the voice.
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It has been suggested, through evidence provided by contour maps of water density, that the interior of XPO5 is hydrophilic, while the exterior of XPO5 is hydrophobic. Therefore, this enhances the binding capabilities of XPO5 to the nuclear pore complex, allowing for transport of the ternary complex out of the nucleus.
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In contrast to the ternary conditional if operator used as ` x ? x : y`, but like the binary Elvis operator used as `x ?: y`, the null coalescing operator is a binary operator and thus evaluates its operands at most once, which is significant if the evaluation of `x` has side-effects.
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Professional education in piano began with Peter Lopez. Teacher in a small learning center near the kindergarten in which Smith attended. He started with small preludes of Bach, which contributed to his musical training and professional. Like all of Chopin's other études, this work is in ternary form A-B-A.
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In addition to the formation of the ternary complex with PIKfyve and Sac3, ArPIKfyve is engaged in a number of other interactions. ArPIKfyve forms a stable complex with the PtdIns(3,5)P2-specific phosphatase Sac3, thereby protecting Sac3 from rapid degradation in the proteasome. ArPIKfyve forms a homooligomer through its carboxyl terminus.
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Simplest sonata form pattern and its relation to binary form. Early examples of sonata form resemble two-reprise continuous ternary form. Sonata form, optional features in parentheses. Sonata form (also sonata-allegro form or first movement form) is a musical structure consisting of three main sections: an exposition, a development, and a recapitulation.
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The movement is a scherzo written in ternary form, with influences from Henry Wadsworth Longfellow's The Song of Hiawatha. The stirring rhythm of the first part is interrupted by a trio middle section. The first part is then repeated, followed by an echo in the coda of the first movement's main theme.
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In algebra, n-ary associativity is a generalization of the associative law to n-ary operations. Ternary associativity is : (abc)de = a(bcd)e = ab(cde), i.e. the string abcde with any three adjacent elements bracketed. n-ary associativity is a string of length n + (n − 1) with any n adjacent elements bracketed..
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Planos departs from the ternary A–B–A form Revueltas habitually employed in single-movement works. Instead, it is freely structured and through-composed . It is constructed in modular, mosaic fashion from six generating motives, each with several variant forms. These motives are manipulated and juxtaposed, resulting in their continual re-contextualization .
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Somfai, 1993, 178. The piece is in ternary form with a coda. The opening, closing, and coda sections consist of imitations of drums and lower wind instruments—"pipes". A less percussive, legato treatment of the piano is called for in the middle section in the middle and higher register, imitating gentler wind instruments.
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At first listen, this movement appears to return to the wandering style introduced to the audience at the beginning of the work. It quickly develops, however, but this expansion is limited and just as quickly returns to the beginning melody. This movement, in ternary form, is around forty-five seconds in length.
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The resulting ternary azeotrope is neither positive nor negative. Its boiling point falls between the boiling points of acetone and chloroform, so it is neither a maximum nor a minimum boiling point. This type of system is called a saddle azeotrope. Only systems of three or more constituents can form saddle azeotropes.
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The Constitutional Court consists of nine magistrates who are elected by the Senate of Colombia from ternary lists drawn up by the President, the Supreme Court of Justice, and the Council of State. The magistrates serve for a term of eight years. The court is headed by a President and Vice President.
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The aria is scored for solo alto voice, two violins, and basso continuo. As with many of Bach's latest cantatas, the aria has a "quality of mellow assurance". It is in adapted ternary form but includes no clear reprise of the opening section. The vocal line includes melismas but no other word painting.
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J. Sylvester (1879) "On certain ternary cubic-form equations", American Journal of Mathematics, 2 : 357-393; Sylvester coins the term "totient" on page 361. so it is also referred to as Euler's totient function, the Euler totient, or Euler's totient. Jordan's totient is a generalization of Euler's. The cototient of is defined as .
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Palladium diselenide has a different modified pyrite structure. Palladium ditelluride has a similar structure to platinum diselenide. Platinum disulfide is a semiconductor, and platinum ditelluride is metallic in nature. More complex substances with platinum and selenium also exist, including the quaternary chalcogenides Rb2Pt3USe6 and Cs2Pt3USe6 Jacutingaite is a ternary platinum selenide HgPtSe3.
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The Brioschi covariant J is the Jacobian of U, G, and H of degree 12, order 9. The algebra of covariants of a ternary cubic is generated over the ring of invariants by U, G, H, and J, with a relation that the square of J is a polynomial in the other generators.
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The mechanical strength is also rarely studied in Heusler compounds. One study has shown that, in off-stoichiometric Ni2MnIn, the material reaches a peak strength of 475 MPa at 773 K, which drastically reduces to below 200 MPa at 973 K. In another study, a polycrystalline Heusler alloy composed of the Ni-Mn-Sn ternary composition space was found to possess a peak compressive strength of about 2000 MPa with plastic deformation up to 5%. However, the addition of Indium to the Ni-Mn-Sn ternary alloy not only increases the porosity of the samples, but it also reduces the compressive strength to 500 MPa. It is unclear from the study what percentage of the porosity increase from the Indium addition reduces the strength.
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Sonata form shares characteristics with both binary form and ternary form. In terms of key relationships, it is very like binary form, with a first half moving from the home key to the dominant and the second half moving back again (this is why sonata form is sometimes known as compound binary form); in other ways it is very like ternary form, being divided into three sections, the first (exposition) of a particular character, the second (development) in contrast to it, the third section (recapitulation) the same as the first. The early binary sonatas by Domenico Scarlatti provide excellent examples of the transition from binary to sonata-allegro form. Among the many sonatas are numerous examples of the true sonata form being crafted into place.
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This sequence of PPTs forms the central stem (trunk) of the rooted ternary tree of PPTs. When it is the longer non-hypotenuse side and hypotenuse that differ by one, such as in :5^2+12^2 = 13^2 :7^2+24^2 = 25^2 then the complete solution for the PPT a, b, c is :a=2m+1, \quad b=2m^2+2m, \quad c=2m^2+2m+1 and :(2m+1)^2+(2m^2+2m)^2=(2m^2+2m+1)^2 where integer m>0 is the generating parameter. It shows that all odd numbers (greater than 1) appear in this type of almost-isosceles PPT. This sequence of PPTs forms the right hand side outer stem of the rooted ternary tree of PPTs.
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An analogy here is that operation is similar to B8ZS or HDB3 in T1/E1 systems, except that there is an actual gain in the information rate by coding 24=16 possible binary states to one of 33=27 ternary states. This added redundancy is used to generate a zero DC-bias signal. One requirement for line transmission is that there should be no DC build-up on the line, so the accumulated DC build-up is monitored and the codewords are chosen accordingly. Of the 16 binary information words, some are always mapped to a DC-component free (ternary) code word, while others can be mapped to either one of two code words, one with a positive and the other with a negative DC-component.
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Over a ternary alphabet, a squarefree word of length more than 36 contains all the squarefree three-letter combinations. However, there are squarefree words of any length without the three-letter combination . Note that over a more than three-letter alphabet there are squarefree words of any length without an arbitrary three-letter combination.
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The movement is in ternary form, with the central "Christe" inverting the melody of the Kyrie. The Gloria is based on a 7/8 ostinato derived from the incipit Gloria XV that would be intoned by the celebrant in some liturgical settings.Peloquin, 132. The additive time signature allows for various patterns of word stress.
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This ternary diagram shows the orthopyroxenites as a function of olivine, clinopyroxene and orthopyroxene abundance. Orthopyroxenites can also occur on other planets. ALH 84001 is a Martian meteorite that can be classified as an orthopyroxenite. It is the only meteorite found with that composition and the only member of the Martian orthopyroxenite group of meteorites.
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Exportin-6 is a protein that in humans is encoded by the XPO6 gene. Exportins, such as XPO6, recruit cargo in the nucleoplasm in the presence of Ran-GTP and form ternary export complexes. These complexes are transported through nuclear pore complexes to the cytoplasm, where GTP is hydrolyzed and the export complex is disassembled.
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Natural alloys also occur in the systems Ir-Os-Rh, Os-Ir- Pt, Ru-Ir-Pt, Ir-Ru-Rh and Pd-Ir-Pt. Names used in these systems have included platiniridium (or platinian iridium) and iridrhodruthenium. However, there is no universally accepted method of plotting these compositions and their names, especially in the ternary systems.
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These ternary cells operate through one of three distinct mechanisms: charge transfer, energy transfer or parallel-linkage. In charge transfer, both donors contribute directly to the generation of free charge carriers. Holes pass through only one donor domain before collection at the anode. In energy transfer, only one donor contributes to the production of holes.
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According to one authority, it is in sonata form , while another asserts it is a large ternary form, concluding with a cadenza and a coda . It employs a wide variety of row forms, often in families associated by hexachordal content . #Andante grazioso #Finale: Allegro. The last movement is a rondo with an unusually dynamic development.
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Lecticans, also known as hyalectans, are a family of proteoglycans (a type protein that is attached to chains of negatively charged polysaccharides) that are components of the extracellular matrix. There are four members of the lectican family: aggrecan, brevican, neurocan, and versican. Lecticans interact with hyaluronic acid and tenascin-R to form a ternary complex.
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219–288 In 1997, with Effinger and Herman te Riele, he proved the ternary Goldbach conjecture (every odd number greater than 5 is a sum of three prime numbers) under the Generalized Riemann Hypothesis.A complete Vinogradov 3-primes theorem under the Riemann hypothesis. In: Electronic Research Announcements of the AMS. Volume 3, 1997, pp.
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The 21 nocturnes are more structured, and of greater emotional depth, than those of Field, whom Chopin met in 1833. Many of the Chopin nocturnes have middle sections marked by agitated expression (and often making very difficult demands on the performer), which heightens their dramatic character.Brown (1980), p. 258. Chopin's études are largely in straightforward ternary form.
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State Prize of Moldavian SSR in the Field of Science and Technique for work on Material Science and Physics of Semiconductors (1983). State Prize of Republic of Moldova in the Field of Science and Technique for work on Ternary and Multinary compounds (1998). In 2001 Ernest Arushanov became «Om Emerit» for achievements in the development of Moldovan science.
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Binary mixtures are those having two components. Three-component mixtures are called ternary mixtures. There can be VLE data for mixtures with even more components, but such data is often hard to show graphically. VLE data is a function of the total pressure, such as 1 atm or at the pressure the process is conducted at.
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Yield is usually stated as percentage per fission, so that the total yield percentages sum to 200%. Less often, it is stated as percentage of all fission products, so that the percentages sum to 100%. Ternary fission, about 0.2% to 0.4% of fissions, also produces a third light nucleus such as helium-4 (90%) or tritium (7%).
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Both Aero-Minor's finished (the only manufacturer to finish a complete team) with one of the cars finishing second in the Index of Performance. Otherwise, it was a rugged race in the weekend's heat – only 16 of the 49 starters being classified. The ‘’ternary’’ fuel was blamed for a number of engine problems affecting the cars during the race.
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In the Tridentine Mass, the Kyrie is the first sung prayer of the Mass ordinary. It is usually (but not always) part of any musical setting of the Mass. Kyrie movements often have a ternary (ABA) musical structure that reflects the symmetrical structure of the text. Musical settings exist in styles ranging from Gregorian chant to folk.
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After the recapitulation of the principal theme the secondary returns in C major. A brief coda concludes this movement. The Adagio opens with accompaniment chords, and it is only when the violin enters with its theme that the tonality is clarified to F minor. This movement is written in a simple ternary form and has no expressively contrasting moments.
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Somewhat easier to handle than the flags, they provided a different method for daylight communications. The lights were kerosene lanterns attached to a staff. A second "foot torch" was placed on the ground before the signalman as a fixed point of reference, making it easier for the recipient to follow the lantern's movements. Myer's code was ternary (three symbols).
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This series of targets all have integer sample values and form an open eye- pattern (e.g. PR4 forms a ternary eye). In general, however, the target can just as readily have non-integer values. The classical approach to maximum- likelihood detection on a channel with intersymbol interference (ISI) is to equalize to a minimum-phase, whitened, matched-filter target.
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Ohzawa utilized pentatonic scale in light of similarity to blues, consequently the music succeeds in displaying delicate oriental mood even in jazzy atmosphere. This is induced from "motto" exhibited in the first movement. The movement of ternary form ends by melting into dream. The third movement, allegro moderato, is the finale with introduction, rondo of scherzando rhythm and coda.
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APRTase proceeds via a bi bi ordered sequential mechanism, involving the formation of a ternary complex. The enzyme first binds PRPP, followed by adenine. After the phosphoribosyl transfer occurs, pyrophosphate leaves first, followed by AMP. Kinetic studies indicate that the phosphoribosyl transfer is relatively fast, while the product release (particularly the release of AMP) is rate-limiting.
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During the quenching procedure, small amounts of a third metal, such as zinc or chromium, are added to enhance the activity of the resulting catalyst. This third metal is called a "promoter". The promoter changes the mixture from a binary alloy to a ternary alloy, which can lead to different quenching and leaching properties during activation.
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The recapitulation states the principal theme again, and then comes the second subject in D major. The key is changed back to minor in the coda based on the descending motif. The second movement is a romance in B major, in ternary form. The broad cantilena theme is sung twice by the cello with the piano providing an accompaniment.
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The performance is played intuitively except for the main lines of the performance, i.e. a rhythmic pattern (binary, ternary), main beat pattern (fours...) etc., which both txalapartaris may agree on in advance of the performance. In addition, ready-made passages may be used embedded in a specific part of the playing, notably at the beginning and the ending.
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The piece is in ternary form (ABA). Its main theme has a slow 4/4 with a heavy, steady crotchet beat. It starts with the main theme which repeats once with only minor variations. The right hand plays a slow melody and the left hand accompanies with a bass note and then a chord, in crotchets.
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The Blackwell channel is composed of one input (transmitter) and two outputs (receivers). The channel input is ternary (three symbols) and is selected from {0, 1, 2}. This symbol is broadcast to the receivers; that is, the transmitter sends one symbol simultaneously to both receivers. Each of the channel outputs is binary (two symbols), labeled {0, 1}.
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In small pieces, this might be the same thing as a repeat. But in larger works, D.C. might occur after one or more repeats of small sections, indicating a return to the very beginning. The resulting structure of the piece is generally in ternary form. Sometimes, the composer describes the part to be repeated, for example: Menuet da capo.
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The bass recitative is secco and "severe". It is accompanied by a triplet line that moves in semiquavers to end the movement. The bass aria is in modified ternary form and includes an instrumental ritornello with a characteristic Scotch snap. The middle section moves into a minor key to increase the intimacy of the personal expression.
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Only the last four movements of the piece are extant. The nineteen surviving bars of the fourth movement, an alto aria, demonstrate a rare bassoon obbligati and assume a combined ritornello- ternary form. The fifth movement is a bass recitative with only continuo accompaniment. It is a "harmonically adventurous", "forceful little movement marked by a robust melodic line".
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The following bass aria is accompanied by oboe d'amore and continuo, and is a "jaunty, pastoral dance" in 6/8 time and ritornello-ternary form. The movement is notable for a long rising melisma omitted from the reworked version in BWV 197.2. Musicologist Julian Mincham suggests that the chorale is "one of the sturdiest in the repertoire".
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The third recitative is secco with "two bursts of operatic virtuosity". The third aria is in ternary form and minor mode. The fourth recitative includes an arioso passage ending on an "exceedingly odd" cadence. The final movement is the only one to include all instrumental parts, with a dance-like opening theme and an ABAB structure.
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The virtual machine has 59,049 (310) memory locations that can each hold a ten-trit ternary number. Each memory location has an address from 0 to 59048 and can hold a value from 0 to 59048. Incrementing past this limit wraps back to zero. The language uses the same memory space for both data and instructions.
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In many cases, these crops are propagated asexually, and lose their characteristic traits if bred. However, some of these hybrids have interbred with one another and with the original taxa, making the citrus family tree a complicated network. Citrus fruits clustered by genetic similarity of partial sequences. Ternary diagram of hybrids of the three major ancestral species.
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Theme and variations form starts with a theme, followed by multiple variations. This theme is usually eight to thirty-two bars in length, and may be constructed as a musical sentence, period, or small ternary. Each variation is a recurrence of the theme with melodic, harmonic, rhythmic and ornamental changes. Theme and variations sometimes contain one "minore" variation.
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Some of the towers used were enormous, up to 130 feet, to get a good range. Myer's code required only one flag using a ternary code. That is, each code element consisted of one of three distinct flag positions. However, the alphabetical codepoints required only two positions, the third position only being used in control characters.
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The Andante favori is in F major (the subdominant of the Waldstein key), in 3/8 time, and is marked Andante grazioso con moto. Formally, the work is a rondo, with each return of the theme appearing in varied form. The theme itself is fairly extended and in ternary form. The work takes about nine minutes to play.
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Solid water ice would have a dielectric of 3.0–3.2. Basalt rock which is widespread on Mars would yield 8. So using a ternary diagram from a paper by Ali Bramson et al., the researchers decided the ice-rich layer was a mixture composed of 50–80% water ice, 0–30% rocky content, and 15–50% porosity.
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The son of primary school principal Gerrit Berkhoff (1868–1959) and Martha Severs (1872–1949), Berkhoff studied Chemistry at Leiden University. Here he obtained in 1929 the doctor's degree with his Ph-D dissertation Osmose van ternaire vloeistoffen (Osmosis of ternary fluids). As a student he worked for four years as a laboratory- assistant for inorganic chemistry.
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Stathmin interacts with two molecules of dimeric α,β-tubulin to form a tight ternary complex called the T2S complex. One mole of stathmin binds to two moles of tubulin dimers through the stathmin-like domain (SLD). When stathmin sequesters tubulin into the T2S complex, tubulin becomes non-polymerizable. Without tubulin polymerization, there is no microtubule assembly.
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Forms of degrees 2, 3, 4, 5, 6, 7, 8, 9, 10 are sometimes called quadrics, cubic, quartics, quintics, sextics, septics or septimics, octics or octavics, nonics, and decics or decimics. "Quantic" is an old name for a form of arbitrary degree. Forms in 1, 2, 3, 4, ... variables are called unary, binary, ternary, quaternary, ... forms.
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The endmember hornblende tschermakite (☐Ca2(Mg3Al2)(Si6Al2)O22(OH)2) is a calcium rich monoclinic amphibole mineral. It is frequently synthesized along with its ternary solid solution series members tremolite and cummingtonite so that the thermodynamic properties of its assemblage can be applied to solving other solid solution series from a variety of amphibole minerals.
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Eukaryotic translation initiation factor 2 (eIF2) functions in the early steps of protein synthesis by forming a ternary complex with GTP and initiator tRNA and binding to a 40S ribosomal subunit. eIF2 is composed of three subunits, alpha (α), beta (β), and gamma (γ, this article), with the protein encoded by this gene representing the gamma subunit.
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It is a rich and exciting work with complexity and sophistication, illustrating the influence of Cuban music and dance. Its main theme was influenced by a then current hit by Ignacio Piñeiro, "Échale Salsita". Other songs referenced by the piece's themes and phrases include the traditional folk song La Paloma. The overture is in ternary form.
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The most common are electric shocks, electron beams, laser excitation, microwaves and α particles. The excitation is not selective and formation of may follow many paths. Their relative importance varies with the conditions, especially with pressure, mode of excitation and the halogen donor. When ternary mixtures are involved, the creation process of XeCl is more complicated.
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K Seeger and E Schonherr "Microwave dielectric constant of aluminium antimonide" Semicond. Sci. Technol. 6 (1991) 301 AlSb can be reacted with other III-V materials to produce ternary materials including AlInSb, AlGaSb and AlAsSb. Aluminum antimonide is rather flammable because of the reducing tendency of the antimonide (Sb3−) ion. It burns to produce aluminum oxide and antimony trioxide.
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This form, also known as first movement form, compound binary, or ternary form, developed from the binary-formed dance movement described above but is almost always cast in a greater ternary form having the nominal subdivisions of exposition, development and recapitulation. Usually, but not always, the "A" parts (exposition and recapitulation, respectively) may be subdivided into two or three themes or theme groups which are taken asunder and recombined to form the "B" part (the development) – thus, e.g. (AabB[dev. of a or b]A1ab1+coda). This developmental form is generally confined to certain sections of the piece, as to the middle section of the first movement of a sonata, though 19th-century composers such as Berlioz, Liszt and Wagner made valiant efforts to derive large-scale works purely or mainly from the motif.
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Mg-Zn-Ca based metallic glasses are a relatively new group of amorphous metals, possessing commercial and technical advantages over early compositions. Gu and co-workers produced the first Mg-Zn-Ca BMG in 2005, reporting high glass forming ability, high strength and most importantly exceptional plasticity. This lanthanide-free, Mg-based glass attracted immediate interest due to its low density and cost, and particularly because of its uncharacteristically high ductility. This property was unexpected for such compositions, as the constituent elements are found to be of relatively low Poisson ratio, and hence contribute little to the inherent plasticity of the glass. This unlikely asset was seized upon by Li in 2008, who made use of the Poisson ratio principle and increased Mg content at the expense of Zn to further enhance plasticity. Further improvements were achieved by incremental addition of Ca to the Mg72Zn28 binary composition, producing numerous ternary alloys along the 350 °C isotherm of the Mg-Zn-Ca system. Ternary Ca-Mg-Zn bulk metallic glasses were also discovered in 2005. Similar to the Mg-Zn-Ca, these two amorphous alloys are both bioresorbable metallic glasses and are based on the same Mg-Zn-Ca ternary system.
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He called his nomographic device the "abac". This "universal calculator" had 60 functions implemented graphically. Half a century later Maurice d'Ocagne provided a general theory, founded in projective geometry, for the nonlinear scales related by nomography. In 1840 Lalanne announced balanced ternary as an arithmetical system, in Comptes Rendus; this followed earlier work on signed arithmetic by John Leslie and Augustin Cauchy.
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Short Fiber Reinforced Blends are partial case of ternary composites, i.e. composites prepared of three ingredients. In particular they can be considered as a combination of an immiscible polymer blend and a short fiber reinforced composite. These blends have the potential to integrate the easy processing solutions available for short fiber reinforced composites with the high mechanical performance of continuous fiber reinforced composites.
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The tempo of the piece is Alla polacca e maestoso ("like a polonaise and majestic"). The form may be viewed as intermediate between ternary (A-B-A) and rondo (A-B-A-C-A), since the first interlude is much shorter than the second (16 vs. 74 bars). The main theme is preceded by an introduction of about thirty seconds in length.
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Phosphothreonine has three potential coordination sites (carboxyl, amine and phosphate group) and determination of the mode of coordination between phosphorylated ligands and metal ions occurring in an organism is important to explain the function of the phosphothreonine in biological processes.Jastrzab, Renata (2013). "Studies of new phosphothreonine complexes formed in binary and ternary systems including biogenic amines and copper(II)". Journal of Coordination Chemistry.
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In certain analog logic, the state of the circuit is often expressed ternary. This is most commonly seen in CMOS circuits, and also in transistor–transistor logic with totem-pole output. The output is said to either be low (grounded), high, or open (high-Z). In this configuration the output of the circuit is actually not connected to any voltage reference at all.
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Magnetite-bearing lodestone displaying strong magnetic properties. Many of the most important magnetic minerals on Earth are oxides of iron and titanium. Their compositions are conveniently represented on a ternary plot with axes corresponding to the proportions of 4+, 2+, and 3+. Important regions on the diagram include the titanomagnetites, which form a line of compositions for between 0 and 1.
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The initial source of the electrons is NADPH. The electrons are transferred from NADPH to P450scc via two electron transfer proteins: adrenodoxin reductase and adrenodoxin. All three proteins together constitute the cholesterol side-chain cleavage complex. The involvement of three proteins in cholesterol side-chain cleavage reaction raises the question of whether the three proteins function as a ternary complex as reductase:adrenodoxin:P450.
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In general, Jónsson terms, more formally, a sequence of Jónsson terms, is a sequence of ternary terms satisfying certain related idenitities. One of the earliest Maltsev condition, a variety is congruence distributive if and only if it has a sequence of Jónsson terms. Originally proved in B. Jónsson, Algebras whose congruence lattices are distributive. Math. Scand., 21:110-121, 1967.
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The brief second movement includes a great variety of harmonic and thematic material. The scherzo's theme – which Rosen calls a humorous formThe Classical Style, Expanded Edition, p. 423 of the first movement's first subject – is at once playful, lively, and pleasant. The scherzo, in B major, maintains the standard ternary form by repeating the sections an octave higher in the treble clef.
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As with most of Villa-Lobos's quartets, there are four movements: #Allegro #Andante #Scherzo (Vivace) #Molto allegro All four movements of this quartet are in ternary, ABA form . The second movement is nostalgic in manner, opening with a sixteen-bar, desolate, chromatic, and atonal fugato. The central section is strongly contrasted, using a theme in a tonal, popular-music style .
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The current believed mechanism for synthetase activity is that first glutathione and Mg2+-ATP bind to the enzyme in a ternary complex where glutathione becomes activated by ATP and forms glutathionyl phosphate. ADP then leaves the active site and the activated phosphate still bound to the enzyme in what is equivalent to a substituted enzyme reacts with glutathionylspermidine to form trypanothione.
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The atomic-scale complexity presents additional challenges to computational modelling of high-entropy alloys. Thermodynamic modelling using the CALPHAD method requires extrapolating from binary and ternary systems. Most commercial thermodynamic databases are designed for, and may only be valid for, alloys consisting primarily of a single element. Thus, they require experimental verification or additional ab initio calculations such as density functional theory (DFT).
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The fourth variation brings a change: it is in E major with a smooth melody in the violin part. After this comes a repetition of the first section theme, again in E minor. The Scherzo is in ternary form with a contrasting intense trio. In the fourth movement the melody is led at first by the cello, proclaiming the long notes.
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The catalecticant of a quartic form is the resultant of its second partial derivatives. For binary quartics the catalecticant vanishes when the form is a sum of 2 4th powers. For a ternary quartic the catalecticant vanishes when the form is a sum of 5 4th powers. For quaternary quartics the catalecticant vanishes when the form is a sum of 9 4th powers.
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Higher arities lead to proper trees. For instance, in the term :f(a,g(a),f(a,b,c)), a,b,c are constants, g is unary, and f is ternary. Contrariwise, :f(a,f(a)) cannot be a valid term, as the symbol f appears once as binary, and once as unary, which is illicit, as Arity must be a function.
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CNKSR2 is a multidomain protein that functions as a scaffold protein to mediate the mitogen-activated protein kinase pathways downstream from Ras. This gene product is induced by vitamin D and inhibits apoptosis in certain cancer cells. It may also play a role in ternary complex assembly of synaptic proteins at the postsynaptic membrane and coupling of signal transduction to membrane/cytoskeletal remodeling.
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Opening bars from Op. 48 No. 1. The Nocturne in C minor, Op. 48, No. 1 is initially marked lento and is in 4/4 meter. In general, the scheme of the music is ternary form and follows A-B-A'. The piece becomes poco più lento at measure 25 and enters its middle section, which is a chorale in C major.
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This is for example the case in the widely used ternary form, usually schematized as A–B–A. In this form the first and third parts (A) are musically identical, or very nearly so, while the second part (B) in some way provides a contrast with them. In this meaning of part, similar terms used are section, strain, or turn.
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The second movement is in ternary form with a slow and song-like melody. Haydn, however, uses an unusual construction in this movement by adding an intense middle section in minor. This minor interlude is based on a motive from the opening section. A shortened return of the major section precedes a section of the movement that features the winds.
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The ending part of the piece is marked religioso and uses legato chords in the right hand part. The piece also has extreme dynamic contrasts, ranging from fortissimo to pianissimo (see Dynamics). The piece departs from the usual ternary form in a Chopin nocturne. The concluding section is not only unrelated thematically to the opening one but in a different key (F major).
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MEKK1 appears to have deregulation pathways that are unknown and do not involve MKK1/MKK2 nor MPK4. MEKK1 interact with WRKY53, which is responsible for mekk1 genes set, and alter the activity of WRKY53 that is a short portion of MAPK signaling. Substrates of MPK4 are three proteins: WRKY33, WRKY25, and MKS1. Ternary MKS1-MPK4-WRKY33 complexes have been recognized by nuclear extracts.
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Massey products generalize cup product, allowing one to define "higher order linking numbers", the Milnor invariants. The cup product is a binary (2-ary) operation; one can define a ternary (3-ary) and higher order operation called the Massey product, which generalizes the cup product. This is a higher order cohomology operation, which is only partly defined (only defined for some triples).
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It is written in three movements: #Andantino #Ad libitum - Allegretto - Ad libitum #Molto Allegro The movements are not ordered according to the traditional fast-slow-fast sonata system. The tempo of the movements increases successively. The first movement, Andantino, is music of a pastoral kind, in ternary form ABA. The opening theme of the oboe solo is an echo of the Westminster Quarters.
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This binding increases the enzyme's affinity for nicotinamide adenine dinucleotide (NAD+). This results in the formation of a stable, ternary complex of ENR-NAD+-triclosan, which is unable to participate in fatty acid synthesis. Fatty acids are necessary for building and reproducing cell membranes. Humans do not have an ENR enzyme and thus are not affected by this mode of action.
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Aggrecan is a critical component for cartilage structure and the function of joints. Functionally, the G1 domain interacts with hyaluronic acid and link protein, forming stable ternary complexes in the extracellular matrix. G2 is homologous to the tandem repeats of G1 and of link protein and is involved in product processing. G3 makes up the carboxyl terminus of the core protein.
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The Games graph is a strongly regular graph with 729 vertices. Every edge belongs to a unique triangle, so it is a locally linear graph, the largest known locally linear strongly regular graph. Its construction is based on the unique 56-point cap set in the five-dimensional ternary projective space (rather than the affine space that cap-sets are commonly defined in)..
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The Schumann-Halir-Dechert Piano Trio (violin, cello, and piano) In music, a trio (from the Italian) is 1) a composition for three performers or three musical parts, 2) in larger works the middle section of a ternary form, which was in history often a trio composition instruments, and 3) an ensemble of three instruments or voices performing trio compositions.
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The Andante slow movement, is a ternary form movement in E major in triple time. The first subject is very lyrical. A second idea, which brings back the repeated eighth notes from the intermezzo, begins the transition to the second main section. The second section is in C major and starts with fortissimo chords in dotted rhythm for the piano solo.
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Carbide-derived carbon (CDC), also known as tunable nanoporous carbon, is the common term for carbon materials derived from carbide precursors, such as binary (e.g. SiC, TiC), or ternary carbides, also known as MAX phases (e.g., Ti2AlC, Ti3SiC2). CDCs have also been derived from polymer-derived ceramics such as Si-O-C or Ti-C, and carbonitrides, such as Si-N-C.
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The computer was built to fulfill the needs of Moscow State University. It was manufactured at the Kazan Mathematical plant. Fifty computers were built from 1959 until 1965, when production was halted. The characteristic operating memory consisted of 81 words of memory, each word composed of 18 trits (ternary digits) with additional 1944 words on magnetic drum (total of about 7 KB).
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Between 1965 and 1970, a regular binary computer was used at Moscow State University to replace it. Although this replacement binary computer performed equally well, it was 2.5 times the cost of the Setun. In 1970, a new ternary computer architecture, the Setun-70, was developed. Edsger W. Dijkstra's ideas of structured programming were implemented in the hardware of this computer.
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Thus, two elements connected by a given relation can be considered at this level. #The next is the level of system mappings, which requires that three elements or two relations must be considered simultaneously. At this level ternary relations or binary operations can be represented. The example of transitivity, which can be understood at this level, has already been explained above.
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Quaternary fission (two-alpha accompanied fission) was experimentally discovered by Goennenwein et al. Pyatkov and Kamanin et al. in JINR Dubna are pursuing experiments on collinear ternary fission. In 2005, when Alexandru Proca's death was commemorated, Poenaru used the opportunity to disseminate information about his relativistic equations of the massive vector boson field, as well as his life in Romania and in France.
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The pick operation is equivalent to the ternary if operator (?:) and is implemented on bypass network control between the compute and writer phase and adds no computational delay. The Call phase is implemented in the same place, and the hardware saves/restores state such that from the program model no cycles have occurred in the callee, even though many real cycles may have passed until the return.
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In model theory, a branch of mathematical logic, a C-minimal theory is a theory that is "minimal" with respect to a ternary relation C with certain properties. Algebraically closed fields with a (Krull) valuation are perhaps the most important example. This notion was defined in analogy to the o-minimal theories, which are "minimal" (in the same sense) with respect to a linear order.
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Abū Alī Muḥammad ibn al-Mustanīr (), known as Quṭrub the Grammarian of al- Baṣrah, was a poet, a scientist, a scholar of Qur'anic exegesis (tafsir) and the leading philologist and linguist of his time. He wrote on a wide field of subjects and authored the first Kitāb al-Muthalath ('Ternary'), of which several later and extended versions were produced. He died in 821/22 (206 AH).
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Petrological indicators of UHT metamorphism are usually preserved in extremely Mg-Al-rich rocks which are usually dry and restitic in nature. Mineral assemblages such as sapphirine + quartz, orthopyroxene + sillimanite ± quartz, osumulite and spinel + quartz provide straight away evidence for such extreme conditions. Occasionally widespread assemblages like garnet + orthopyroxene, ternary feldspars, (F-Ti) pargasite or metamorphic inverted pigeonite are taken as typical indicators of UHT metamorphism.
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The term Apoptosome was first introduced in Yoshihide Tsujimoto's 1998 paper "Role of Bcl-2 family proteins in apoptosis: apoptosomes or mitochondria?". However, the Apoptosome was known before this time as a ternary complex. This complex involved caspase-9 and Bcl-XL which each bound a specific Apaf-1 domain. The formation of this complex was then believed to play a regulatory role in mammalian cell death.
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Ternary form, sometimes called song form, is a three-part musical form consisting of an opening section (A), a following section (B) and then a repetition of the first section (A). It is usually schematized as A–B–A. Examples include the da capo aria "The trumpet shall sound" from Handel's Messiah, Chopin's Prelude in D-Flat Major (Op. 28)White, John D. (1976).
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The third movement is a scherzo (explicitly marked as such in the manuscript, but not in the printed score) . At rehearsal-number five the cello introduces a quotation from Villa-Lobos's 1940 cantata Mandú-Çárárá, played in parallel fifths . The finale is once again a ternary ABA form, with a twenty-one bar coda . The composer described one theme from this movement as being "à la Spanish" .
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Four short ORF's exist in the leader of the GCN4 mRNA. 40S Ribosomal Subunits scanning the mRNA from 5' have TC bound and translate the first upstream open reading frame (uORF). Under non-starving condition there is enough ternary complex that the subunits rebind it before they reach uORF 4. Translation is again initiated, uORF2,3 or 4 translated and the 40S Subunits subsequently dissociate from GCN4 mRNA.
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Indium gallium arsenide (InGaAs) (alternatively gallium indium arsenide, GaInAs) is a ternary alloy (chemical compound) of indium arsenide (InAs) and gallium arsenide (GaAs). Indium and gallium are (group III) elements of the periodic table while arsenic is a (group V) element. Alloys made of these chemical groups are referred to as "III-V" compounds. InGaAs has properties intermediate between those of GaAs and InAs.
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An example of a m-ary tree with m=5 In graph theory, an m-ary tree (also known as k-ary or k-way tree) is a rooted tree in which each node has no more than m children. A binary tree is the special case where m = 2, and a ternary tree is another case with m = 3 that limits its children to three.
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Poly(U)-binding-splicing factor PUF60 is a protein that in humans is encoded by the PUF60 gene. The protein encoded by this gene is a Ro RNP-binding protein. It interacts with Ro RNPs and their interaction is thought to represent a gain of function for Ro RNPs. This protein also forms a ternary complex with far upstream element (FUSE) and FUSE-binding protein.
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The 8-minute-long second movement is very slow and dark music. The movement is presented in ternary form, another neoclassical influence. Harmonically and melodically, it is less traditional and less oriented to the neoclassical style than the previous movement, at times, stretching tonality to the brink of atonality. The movement's three themes are imitated, frequently while another voice has yet to complete its melodic phrase.
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In zoological nomenclature, a trinomen (plural: trinomina), name, or ternary name, refers to the name of a subspecies. For example: "Gorilla gorilla gorilla" (Savage, 1847) for the western lowland gorilla (genus Gorilla, species western gorilla). Also, "Bison bison bison" (Linnaeus, 1758) for the plains bison (genus Bison, species American bison). A trinomen is a name with three parts: generic name, specific name and subspecific name.
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Microemulsion domains are usually characterized by constructing ternary-phase diagrams. Three components are the basic requirement to form a microemulsion: two immiscible liquids and a surfactant. The majority of microemulsions use oil and water as immiscible liquid pairs. If a cosurfactant is used, it may sometimes be represented at a fixed ratio to surfactant as a single component, and treated as a single "pseudo-component".
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A key dichotomy among sports rating systems lies in the representation of game outcomes. Some systems store final scores as ternary discrete events: wins, draws, and losses. Other systems record the exact final game score, then judge teams based on margin of victory. Rating teams based on margin of victory is often criticized as creating an incentive for coaches to run up the score, an "unsportsmanlike" outcome.
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The inverse axiom is generalized as follows: in the case of binary operations the existence of an inverse means has a unique solution for x, and likewise has a unique solution. In the ternary case we generalize this to , and each having unique solutions, and the n-ary case follows a similar pattern of existence of unique solutions and we get an n-ary quasigroup.
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TC-NER also exists in bacteria, and is mediated by the TRCF (Mfd) protein. TRCF is an SF2 ATPase that uses ATP hydrolysis to translocate on dsDNA upstream of the transcription bubble and forward translocate RNA polymerase, thus initiating dissociation of the RNA Polymerase ternary elongation complex. TRCF also recruits the Uvr(A)BC nucleotide excision repair machinery by direct physical interaction with the UvrA subunit.
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An alloy of sodium and potassium, NaK is a liquid used as a heat-transfer medium and a desiccant for producing dry and air-free solvents. It can also be used in reactive distillation. The ternary alloy of 12% Na, 47% K and 41% Cs has the lowest melting point of −78°C of any metallic compound. Metallic potassium is used in several types of magnetometers.
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In a language that supports the Elvis operator, something like this: :` x = f() ?: g() ` will set `x` equal to the result of `f()` if that result is a true value, and to the result of `g()` otherwise. It is equivalent to this example, using the conditional ternary operator: :` x = f() ? f() : g() ` except that it does not evaluate the `f()` twice if it is true.
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The waltz is in the key of D-flat major and has a tempo marking of molto vivace (very lively). Chopin indicates that the waltz is to be played with the sustain pedal used, and makes frequent use of crescendi and diminuendi. It is in a simple ternary form, as are many of Chopin's compositions. The A section is marked leggero, and the B section sostenuto.
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The slow movement in G major is in ternary form (ABA) featuring a lightly scored, lilting theme with three upbeats.Daniel Heartz, Mozart, Haydn and Early Beethoven 1781–1802 (New York: W. W. Norton, 2009), pp. 444–447. . The central "B" section of the movement is for full tutti in G minor and is highly contrapuntal. The second "A" section finishes suspended on a cadential six- four chord.
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The final and longest movement in the suite, requiring just over two minutes to play, appears to be searching for something, and has a slightly exotic melody that includes some partial scalar passages which, like the rest of these movements, tends to develop towards the top of the keyboard before coming down for further bass development. It is in ternary form, each section lasting exactly eight measures.
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The phase diagram for sodiumborosilica glass shows a miscibility gap for certain glass compositions. The upper critical temperature lies at about 760 °C and the lower one at about 500 °C. O.S. Moltschanova was the first person who exactly described the definition of the exsolution. For a phase separation the initial glass composition must lie in the miscibility gap of the ternary -- glass system.
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All of the recitatives in Part I are secco. The "dazzling and brilliant" bass aria of Part I is characterized by triplet figures and includes full string accompaniment in roulades. It includes the same foundational motive as the alto aria, and is formally in modified ternary. The alto aria is remarkable for its binary-form ritornello and "blues-like" final cadence; structurally, the movement is a gavotte.
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The concept of binary function generalises to ternary (or 3-ary) function, quaternary (or 4-ary) function, or more generally to n-ary function for any natural number n. A 0-ary function to Z is simply given by an element of Z. One can also define an A-ary function where A is any set; there is one input for each element of A.
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For this reason it is necessary to confirm the consistency of the obtained parameters in the whole range of compositions (including binary subsystems, experimental and calculated lie-lines, Hessian matrix, etc.).Li, Z.; Smith, K. H.; Mumford, K. A.; Wang, Y.; Stevens, G. W., Regression of NRTL parameters from ternary liquid–liquid equilibria using particle swarm optimization and discussions. Fluid Phase Equilib. 2015, 398, 36-45.
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This ternary division held for all note values. In contrast, the Ars Nova period introduced two important changes: the first was an even smaller subdivision of notes (semibreves, could now be divided into minim), and the second was the development of "mensuration." Mensurations could be combined in various manners to produce metrical groupings. These groupings of mensurations are the precursors of simple and compound meter.
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CPT binds to the topoisomerase I and DNA complex (the covalent complex) resulting in a ternary complex, and thereby stabilizing it. This prevents DNA re-ligation and therefore causes DNA damage which results in apoptosis. CPT binds both to the enzyme and DNA with hydrogen bonds. The most important part of the structure is the E-ring which interacts from three different positions with the enzyme.
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Malbolge is machine language for a ternary virtual machine, the Malbolge interpreter. The standard interpreter and the official specification do not match perfectly. One difference is that the compiler stops execution with data outside the 33–126 range. Although this was initially considered a bug in the compiler, Ben Olmstead stated that it was intended and there was in fact "a bug in the specification".
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If storing dictionary words is all that is required (i.e., storage of information auxiliary to each word is not required), a minimal deterministic acyclic finite state automaton (DAFSA) would use less space than a trie or a ternary search tree. This is because a DAFSA can compress identical branches from the trie which correspond to the same suffixes (or parts) of different words being stored.
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Etoposide forms a ternary complex with DNA and the topoisomerase II enzyme (which aids in relaxing negative or positive supercoils in DNA), prevents re-ligation of the DNA strands, and by doing so causes DNA strands to break. Cancer cells rely on this enzyme more than healthy cells, since they divide more rapidly. Therefore, this causes errors in DNA synthesis and promotes apoptosis of the cancer cell.
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This pitch almost always stays constant and the major, minor, or modal relations around it changes. Allegro barbaro is a short, dance-like composition, that at first sounds like it's free composed. However, one can begin to find traditional structure to the piece by looking at the harmony. Allegro barbaro is in ternary form, which means that there are two distinct themes, but one is presented twice.
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Addition of tetrabutylammonium bromide as a phase transfer catalyst dramatically increases the rate of reaction. The co-catalyst is presumed to increase the concentration of the peroxide oxidant in the organic phase enabling more efficient access to the reactive ternary complex.Geller, T.; Gerlach, A.; Kruger, C. M.; Militzer, H. C., "Novel conditions for the Julia–Colonna epoxidation reaction providing efficient access to chiral, nonracemic epoxides". Tetrahedron Lett.
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David Wyn Jones, Oxford University Press, 2002. The movement is in ternary form with central section in the minor. The instrumentation is richer than the other movements of the symphony. It is the only movement that uses divided violas and clarinets, but most importantly is the use of "Turkish" instruments (triangle, cymbals and bass drum) which make their first appearance in the central minor section.
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IFNAR1 binding to low affinity ligands, such as IFNα subtypes, has been proposed to be the rate limiting step in the ternary complex formation. Therefore, if membrane levels of IFNAR1 are too low, the binary IFNα-IFNAR2 complex will be unable to recruit it to induce signaling. This hypothesis is supported by observations that cell lines with low IFNAR1 expression respond to IFNβ but not IFNα.
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Negative regulators of type I IFN signaling, such as suppressor of cytokine signaling 1 (SOCS1) and ubiquitin-specific peptidase 18 (USP18), are induced after 4 hours. SOCS1 inhibits type I IFN signaling by inhibiting JAKs and binding phosphorylated Tyk2. USP18 binds to the C terminus of IFNAR2. USP18 may regulate type I IFN signaling by interfering with ternary complex formation, not through its peptidase function.
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Flammability diagram for methane Flammability diagrams show the control of flammability in mixtures of fuel, oxygen and an inert gas, typically nitrogen. Mixtures of the three gasses are usually depicted in a triangular diagram, known as a ternary plot. Such diagrams are available in the speciality literature.for instance in Michael George Zabetakis' 1965 work, which remains one of the most widely cited sources of flammability data.
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Ross found Moore's method exciting, and his pedagogy influenced Ross's own. Ross graduated with a B.S. degree and continued his study as Leonard Eugene Dickson's research assistant. Ross earned a M.S. degree and finished his Ph.D. in number theory at the University of Chicago in 1931 with Dickson as his adviser. Ross's dissertation was entitled "On Representation of Integers by Indefinite Ternary Quadratic Forms".
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For musical groups solo, duo, trio, quartet, etc. are commonly used, and pair is used for a group of two. A conspicuous use of distributive numbers is in arity or adicity, to indicate how many parameters a function takes. Most commonly this uses Latin distributive numbers and -ary, as in unary, binary, ternary, but sometimes Greek numbers are used instead, with -adic, as in monadic, dyadic, triadic.
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In 1968 he received the R. W. Hunt Outstanding Paper Award from the Association for Iron and Steel Technology (AIST) for his papers Thermodynamics of Binary Metallic Solutions and Thermodynamics of Ternary Metallic Solutions.Hunt-Kelly Outstanding Paper Award Recipients. Section Hunt Recipients (prior to 2004) AIST Association for Iron and Steel Technology He was also awarded a Gold Medal from the American Society for Metals.
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6, Georg Thieme Verlag, Stuttgart, 1997. PrCl3 forms a stable Lewis acid-base complex K2PrCl5 by reaction with potassium chloride; this compound shows interesting optical and magnetic properties.J. Cybinska, J. Sokolnicki, J. Legendziewicz, G. Meyer, Journal of Alloys and Compounds, 341, 115–123 (2002). Aqueous solutions of praseodymium(III) chloride can be used to prepare insoluble praseodymium(III) compounds. For example, praseodymium(III) phosphate and praseodymium(III) fluoride can be prepared by reaction with potassium phosphate and sodium fluoride, respectively: :PrCl3 \+ K3PO4 → PrPO4 \+ 3 KCl :PrCl3 \+ 3 NaF → PrF3 \+ 3 NaCl :2PrCl3 \+ 3 Na2CO3\----> Pr2CO3 \+ 6NaCl When heated with alkali metal chlorides, it forms a series of ternary (compounds containing three different elements) materials with the formulae MPr2Cl7, M3PrCl6, M2PrCl5, and M3Pr2Cl9 where M = K, Rb, Cs.Gerd Meyer, "Ternary Chlorides and Bromides of the Rare-Earth Elements", Inorganic Syntheses, 1990, Volume 30, pp. 72–81.
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The minuet is in incipient ternary form, A-A-B-A, a type of song form as differentiated from other, such as the binary song form in the format A-B, the ternary A-B-A, or the rondo, A-B-A-C-A or an alternate form but with the "A" theme repeating after each new theme in the sequence of themes. In terms of A-B-A sections, the three parts are: #Moderato #Trio #Moderato The Moderato section features a melody, marked legato (to play in a smooth, even style without noticeable breaks between the notes). Quarter notes occupy most of the left hand in this A section, which is made up of two periods. The first four-measure (a) phrase is in the tonic of G Major; the second four-measure (b) phrase modulates from the tonic to the dominant of D Major.
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While meters and keys vary, the nocturnes are generally set in ternary form (A–B–A), featuring a melancholy mood, and a clear melody floating over a left-hand accompaniment of arpeggios or broken chords. Repetitions of the main theme generally add increasingly ornate embellishments, notably in Opus 9 No. 2 in E. From the 7th and 8th nocturnes onwards, Chopin published them in contrasting pairs, although each can stand alone as a complete work. Exceptions to the ternary form pattern include Opus 9 No. 2 and Op. 55 No. 2 in E, neither of which contain a contrasting section, Op. 15 No. 3 in binary form with a novel coda, and Op. 37 No. 2 in A–B–A–B–A form. The tempo marking of all but one of the nocturnes is a variation of Lento, Larghetto or Andante, the Allegretto of No. 3 breaking the mould.
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Section IV develops a proof of quadratic reciprocity; Section V, which takes up over half of the book, is a comprehensive analysis of binary and ternary quadratic forms. Section VI includes two different primality tests. Finally, Section VII is an analysis of cyclotomic polynomials, which concludes by giving the criteria that determine which regular polygons are constructible, i.e., can be constructed with a compass and unmarked straightedge alone.
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The method is based on the theoretical viscosity values of melts of binary, ternary, quaternary and more complex oxide phase diagrams of the silicate systems. It allowed to avoid the current, expensive processes for determining viscosity in practice. Under his guidance, his post-graduate students prepared several Ph.D. theses, three of which were defended after his death. Yuri Belousov died in 2000 in the age of 54 due to poor health.
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These songs were actually in the form of urban guarachas (not proper rumbas), which had a binary meter in contrast to the ternary meter of traditional rural genres such as tonada and zapateo. Similarly, in Cuban bufo theatre at the beginning of the 20th century, the guarachas that were sung at the end of the show were referred to as rumba final despite not sharing any musical similarities with actual rumba.
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Securin destruction liberates and activates its bound protease partner, separase. Separase bound to securin remains inhibited; however, when inhibition is relieved, activated separase cleaves the cohesin complex which links the sister chromatids together. Without Cdc20, the anaphase-promoting complex (APC) cannot become activated and anaphase is not triggered. Mad2 was shown to inhibit the activity of the APC by direct physical interaction in a ternary complex with Cdc20.
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He died in 1955 from cancer of the brain. Temira Pachmuss summed up his work in this way: > The originality of Knut's poetic talent, his personal intonation, and his > fresh, unusual conceptions are obvious. He was very successful with ternary > meters which he employed in slow, sorrowful, or exultant poetic meditations > on the fate of the Jewish people. These poems were treasured by a devoted > circle of sophisticated readers in Paris.
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See: . and introduced by German mathematician Georg Cantor in 1883. Through consideration of this set, Cantor and others helped lay the foundations of modern point-set topology. Although Cantor himself defined the set in a general, abstract way, the most common modern construction is the Cantor ternary set, built by removing the middle third of a line segment and then repeating the process with the remaining shorter segments.
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The ternary-form slow movement, centred on F minor, has been called, among other things, a "mausoleum of collective sorrow",Wilhelm von Lenz, quoted in The NPR Guide to Building a Classical CD Collection. Ted Libbey. . p. 379. and is notable for its ethereality and great length as a slow movement (e.g. Wilhelm Kempff played for approximately 16 minutes and Christoph Eschenbach 25 minutes) that finally ends with a Picardy third.
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For example, given a point on the unit circle, there is no "next point". Nor can we rely upon a binary relation to determine which of two points comes "first". Traveling clockwise on a circle, neither east or west comes first, but each follows the other. Instead, we use a ternary relation denoting that elements , , occur after each other (not necessarily immediately) as we go around the circle.
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A partial cyclic order is a ternary relation that generalizes a (total) cyclic order in the same way that a partial order generalizes a total order. It is cyclic, asymmetric, and transitive, but it need not be total. An order variety is a partial cyclic order that satisfies an additional spreading axiom . Replacing the asymmetry axiom with a complementary version results in the definition of a co-cyclic order.
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Zehtaban, A. and Kharrat R.: Development of a computer Method for the Prediction of Ternary Phase Diagram, Proceeding of the 2nd National Iranian Chemical Engineering Congress, Vol. 1, 1997, pp. 419–422. 22\. Salarieh, M. and Kharrat R.: Effect of Salt Present in Ahwaz water on the Performance of X-100 Polymer on the Bingham Plastic Behavior of Drilling Mud, Presented the 8th Gas, Petroleum and Petrochemical Congress, Tehran, 1997. 23\.
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In logic, a finite-valued logic (also finitely many-valued logic) is a propositional calculus in which truth values are discrete. Traditionally, in Aristotle's logic, the bivalent logic, also known as binary logic was the norm, as the law of the excluded middle precluded more than two possible values (i.e., "true" and "false") for any proposition. Modern three-valued logic (ternary logic) allows for an additional possible truth value (i.e. "undecided").
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When receptors come in contact with cell surface markers on the apoptotic cell, a protein known as CED-6 (homolog for GULP in mammals) is expressed. Both the CED-2/CED-5/CED-12 ternary structure and CED-6 function to activate an effector protein known as CED-10. CED-10 is a RAC-GTPase protein that is directly responsible for the rearrangement of the actin cytoskeleton that initiates phagocytosis.
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Structure The movement is written in ternary form following this pattern Section A starting in D major. Section B starting in B minor. And then an exact repeat of Section A. The piece uses fugal exposition which has a structure of a fugal subject and answer and is based on a gigue (a German dance). Instrumentation The piece has two groups of instruments: The Concertino:- the soloist group.
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This piece represents a typical nineteenth-century étude, similar in style to Frédéric Chopin's Études (Opp. 10, 25), with a melody interspersed between rapid sextuplet figures. It is in strict ternary form with a coda: identical beginning and ending sections beginning on measures 1 and 85, and a contrasting middle section starting on measure 45. The second section radically changes dynamics, constantly changing from piano to fortissimo and even sforzando.
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The left hand plays almost identical figures throughout Adagio sostenuto. The piece is similar to the form of a barcarolle, a folk song with a rhythmic tuplet accompaniment. Playing it takes approximately five minutes, and it is 53 measures long, the shortest in terms of measures. It is an adagio sostenuto (sustained at ease) at 54 quarter notes per minute, with a simple melody presented in ternary form.
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The Mark di Suvero sculpture Orion was installed in front of the building from 2008 to 2018, then removed briefly for conservation, and reinstalled permanently in 2019. Other sculptures outside of the museum include Daedalus by Charles Ginnever, Shang by Mark di Suvero, Ternary Marker by Beverly Pepper, Stiff Box No. 12 by Lucas Samaras, Requiem by Erwin Binder, and a trio of pieces by Michele Oka Doner.
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Kemmler-Sack did her doctorate on "Untersuchungen an ternären Uran (V)oxiden" (Investigations on ternary uranium (V)oxides) in 1962. She habilitated in 1968 and the title of her habilitation thesis was "Über spektroskopische und magnetische Untersuchungen an Oxidfluoriden es fünfwertien Urans" (About spectroscopic and magnetic investigations on oxide fluorides it five-valent uranium). She became a university lecturer in 1968, an extraordinary professor in 1973, a university professor in 1978.
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In November 1898, when Scriabin went to Saint Petersburg, he brought a present for his patron and publisher M.P. Belaïeff. The offer was the full score of an orchestral work named Prélude, a short miniature in E minor and ternary form. One day, his friend Nikolay Rimsky-Korsakov came to visit him and played the work on the piano. He deemed it Delightful, wheated in piquant harmonies and not badly orchestrated.
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Among the precious metals, platinum is the most active toward the hydrogen oxidation reaction that occurs at the anode in hydrogen fuel cells. In order to meet cost reductions of this magnitude, the Pt catalyst loading must be decreased. Two strategies have been investigated for reducing the Pt loading: the binary and ternary Pt-based alloyed nanomaterials and the dispersion of Pt-based nanomaterials onto high surface area substrates.
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Cost transfer algorithms have been shown to be particularly efficient to solve real-world problem when soft constraints are binary or ternary (maximal arity of constraints in the problem is equal to 2 or 3). For soft constraints of large arity, cost transfer becomes a serious issue because the risk of combinatorial explosion has to be controlled. An algorithm, called GAC^w-WSTR,C. Lecoutre, N. Paris, O. Roussel, S. Tabary.
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Fig. 14. Crystal structure of RExB12C0.33Si3.0 (RE=Y or Dy) viewed along the direction close to [100]. Red, black and blue spheres correspond to Y/Dy, C and Si atoms, respectively. Vacancies at the Y/Dy site are ignored. Initially these were described as ternary RE-B-Si compounds, but later carbon was included to improve the structure description that resulted in a quaternary RE-B-C-Si composition.
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Tiwanaku monumental architecture is characterized by large stones of exceptional workmanship. In contrast to the masonry style of the later Inca, Tiwanaku stone architecture usually employs rectangular ashlar blocks laid in regular courses. Their monumental structures were frequently fitted with elaborate drainage systems. The drainage systems of the Akapana and Pumapunku structures include conduits composed of red sandstone blocks held together by ternary (copper/arsenic/nickel) bronze architectural cramps.
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This movement is in ternary form, with the middle section being rather more modern than the outer sections. The chords of the right hand in the beginning constitute a fauxbourdon texture, in contrast to the left hand's chromatic passage. The middle section is based on the octatonic scale, with the oscillation of note clusters in the left hand creating a tritone. Performances are approximately forty-five seconds in duration.
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The form of the other two movements conforms to the "Suite" plan: the first movement is a ternary form, ABA, and the second is a binary form. However, to refer to an entire work by the form of its last movement is very unusual, and numerous attempts have been made to explain the title.Bailey 1991, 189-190. Webern scholar Kathryn Bailey outlined three possible views on the structure of the piece.
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Eduard Study, more properly Christian Hugo Eduard Study (March 23, 1862 – January 6, 1930), was a German mathematician known for work on invariant theory of ternary forms (1889) and for the study of spherical trigonometry. He is also known for contributions to space geometry, hypercomplex numbers, and criticism of early physical chemistry. Study was born in Coburg in the Duchy of Saxe-Coburg-Gotha. His family was of Jewish descent.
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Indium tin oxide (ITO) is a ternary composition of indium, tin and oxygen in varying proportions. Depending on the oxygen content, it can either be described as a ceramic or alloy. Indium tin oxide is typically encountered as an oxygen-saturated composition with a formulation of 74% In, 18% O2, and 8% Sn by weight. Oxygen-saturated compositions are so typical, that unsaturated compositions are termed oxygen-deficient ITO.
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Separating these overlapping joints provides three additional joints so there are 10 single degree-of-freedom joints. The Jansen linkage is of type (5, 2, 1, 0), because the upper triangular link supports four joints, two of which overlap at the ground joint, the lower triangular link and the input crank connect three joints and are ternary links. The remaining five links, which includes the ground link, are binary links.
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Systems with more than two stars are termed multiple stars. Algol is the most noted ternary (long thought to be a binary), located in the constellation Perseus. Two components of the system eclipse each other, the variation in the intensity of Algol first being recorded in 1670 by Geminiano Montanari. The name Algol means "demon star" (from al-ghūl), which was probably given due to its peculiar behavior.
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The fourth movement is a tenor aria: "" (Happiness and blessing are prepared to crown the consecrated flock). Paczkowski notes that the movement's text deals with the second coming of Christ, using the symbolism of Shepherd and King, common in the Near East. It is formally a trio sonata for voice, solo violin and continuo, in adapted ternary form. It is in B minor, the only movement not in a major key.
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The definition depends on a suitable Gödel numbering that assigns natural numbers to computable functions. This numbering must be sufficiently effective that, given an index of a computable function and an input to the function, it is possible to effectively simulate the computation of the function on that input. The T predicate is obtained by formalizing this simulation. The ternary relation T1(e,i,x) takes three natural numbers as arguments.
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Pritchett, Grove: "Sonatas and Interludes is a truly exceptional work and may be said to mark the real start of Cage's mature compositional life."Nicholls, p. 80: "Most critics agree that Sonatas and Interludes (1946–48) is the finest composition of Cage's early period." The cycle consists of sixteen sonatas (thirteen of which are cast in binary form, the remaining three in ternary form) and four more freely structured interludes.
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This sort of either/or assignment is very common and takes up two lines. CAL improved on JOSS by implementing an ternary assignment operator: A=IF B>10 THEN 5 ELSE 0 A similar modification was the statement, used to set variables as part of an if or for. It was similar in concept to the if/then/else structure, but could have any number of items. For instance,.
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The esterification of acetic acid with alcohols including methanol,Scott D. Barnicki "Synthetic Organic Chemicals" in Handbook of Industrial Chemistry and Biotechnology edited by James A. Kent, New York : Springer, 2012. 12th ed. . n-butanol, ethanol, isobutanol, and amyl alcohol. Another interesting feature of this system is that it is associated with the formation of a minimum boiling ternary azeotrope of ester, alcohol and water, which is heterogeneous in nature.
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Large ternary is the most common form used for a slow movement. It consists of three parts, labeled ABA. The first and third part are almost identical, whereas the middle part is contrasting. If the starting key is a major key, the middle part is typically written in a minor key; if the starting key is a minor key, the middle part is typically written in a major key.
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Similar to the qubit, the qutrit is the unit of quantum information that can be realized in suitable 3-level quantum systems. This is analogous to the unit of classical information trit of ternary computers. Note, however, that not all 3-level quantum systems are qutrits. The term "qu-d-it" (quantum d-git) denotes the unit of quantum information that can be realized in suitable d-level quantum systems.
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Complexin is a small highly charged cytosolic protein that is hydrophilic, rich in glutamic acid and lysine residues. Complexin's central region (amino acids 48–70) binds to the SNARE core as an anti-parallel α-helix, which attaches complexin to the SNARE complex. It interacts selectively with the ternary SNARE complex but not with monomeric SNARE proteins. Complexin binds to the groove between the synaptobrevin and syntaxin helices.
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LGR5 is a member of the Wnt signaling pathway. Although its ligand remains elusive, it has been shown that costimulation with R-spondin 1 and Wnt-3a induce increased internalization of LGR5. LGR5 also cointernalizes with LRP6 and FZD5 via a clathrin-dependent pathway to form a ternary complex upon Wnt ligand binding. Moreover, the rapid cointernalization of LRP6 by LGR5 induces faster rates of degradation for the former.
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Bonny (Bonny Method of Guided Imagery and Music) writes a lot about the different features of music types in the classical genre. Classical music can have multiple layers, including a melodic line, harmony structure and base line. All of these aspects work together with other things to create different layers of musical sound. Classical music is written in different forms: ternary form, sonata form, theme and variations, prelude and tone poem.
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Three axial planes (x=0, y=0, z=0) divide space into eight octants. The eight (±,±,±) coordinates of the cube vertices are used to denote them. The horizontal plane shows the four quadrants between x- and y-axis. (Vertex numbers are little-endian balanced ternary.) An octant in solid geometry is one of the eight divisions of a Euclidean three-dimensional coordinate system defined by the signs of the coordinates.
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The second movement, marked Intermezzo and Trio, is in C minor and compound triple meter. It is in ternary form and functions like a scherzo, the more traditional second or third movement of a piano quartet. The consistently repeated eighth notes creates an effect of perpetual motion, even agitation, although the melodic themes are quite lyrical. The intermezzo flirts between major and minor and ends in C major.
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The database structural query language SQL implements ternary logic as a means of handling comparisons with NULL field content. The original intent of NULL in SQL was to represent missing data in a database, i.e. the assumption that an actual value exists, but that the value is not currently recorded in the database. SQL uses a common fragment of the Kleene K3 logic, restricted to AND, OR, and NOT tables.
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The Paraguayan polka combines ternary and binary rhythms, where as the European only uses binary. The most famous style of music is Guarania, created by the Paraguayan musician José Asunción Flores in 1926. The Guarania accomplishes this by using a combination of slow rhythms and melodies of melancholia character. Other popular genres of traditional music in Paraguay are the zarzuela and the "Paraguayan Songs", which are derived from the Paraguayan polka.
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With fully solvated and solvent-shared ion pairs the interaction is primarily electrostatic, but in a contact ion pair some covalent character in the bond between cation and anion is also present. An ion triplet may be formed from one cation and two anions or from one anion and two cations. Higher aggregates, such as a tetramer (AB)4, may be formed. Ternary ion associates involve the association of three species.
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The piece is written in ternary form. It begins with an allegro section, consisting of brief chromatic figures across the orchestra that build slowly to a trio section, after which it returns to the feeling of the allegro beginning for the coda. In this way Mosolov "coordinates the mechanistic rhythms into specific orchestral groups that work together like cogs in a well-oiled machine."Lewis 2005, p. 882.
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In other words, is squarefree if and only if h(w) is squarefree for all squarefree of length 3. It is possible to find a squarefree morphism by brute-force search. algorithm squarefree_morphism is output: a squarefree morphism with the lowest possible rank . set k = 3 while True do set k_sf_words to the list of all squarefree words of length over a ternary alphabet for each h(0) in k_sf_words do for each h(1) in k_sf_words do for each h(2) in k_sf_words do if h(1) = h(2) then break from the current loop (advance to next h(1)) if h(0) e h(1) and h(2) e h(0) then if h(w) is squarefree for all squarefree of length then return h(0), h(1), h(2) increment by Over a ternary alphabet, there are exactly 144 uniform squarefree morphisms of rank 11 and no uniform squarefree morphisms with a lower rank than 11.
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With Tony Brinkley, a researcher that he recruited in England, he studied photonuclear reactions with the Cockcroft-Walton accelerators, and bremsstrahlung, the radiation produced by the deceleration of a charged particle, with the electron synchrotron. They were the first to observe ternary fission in Californium-252. A 5 MV terminal electrostatic nuclear (EN) tandem accelerator commenced operation in 1961. The electron synchrotron ceased operation that year, and was given to the University of Western Australia.
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Soderholm was awarded her PhD in 1982 by McMaster University. Her dissertation focused on characterizing the structural and magnetic properties of a series of ternary f-ion oxides. After graduating, she became a NATO postdoctoral fellow at the Centre national de la recherche scientifique in France from 1982 until 1985. She then began her career at Argonne as a postdoctoral fellow in 1985, and was promoted to staff scientist the same year.
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In 1873 he wrote an important paper on binary and ternary quadratic forms which was also translated into French and cited by Henri Poincaré, Émile Picard and Paul Gustav Heinrich Bachmann. Beginning with 1877 he also became concerned with insurance, and participated in the reorganization of the pensions in Bavaria on behalf of the Bavarian government. His application for a promotion to professor ordinarius was declined in 1891. In 1906 he became emeritus.
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Given any set A whose elements are arranged on a circle, one can define a ternary relation R on A, i.e. a subset of A3 = , by stipulating that holds if and only if the elements a, b and c are pairwise different and when going from a to c in a clockwise direction one passes through b. For example, if A = { } represents the hours on a clock face, then holds and does not hold.
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In research, Jeannin shows an interest in the chemistry of transition metals, in the synthesis and structure of the species they form. First in solid state chemistry with the study of the non-stoichiometry of binary and ternary chalcogenides of titanium and zirconium,Y.Jeannin, J.Bénard, « Étude de la phase non-stoechiométrique TiS2 : étude du domaine et nature des défauts », C.R.Acad.Sc., 248, (1959), p. 2875Y.Jeannin, A.Mosset, « Non-stoechiométrie du silicoséléniure de zirconium », J.Less Com.Met.
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Over a ternary alphabet, a squarefree word of length more than 13 contains all the squarefree two-letter combinations. This can be proved by constructing a squarefree word without the two-letter combination . As a result, ' is the longest squarefree word without the combination and its length is equal to 13. Note that over a more than three-letter alphabet there are squarefree words of any length without an arbitrary two-letter combination.
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Furthermore, one atom of element X combining with two atoms of element Y or vice versa, is a ternary compound. Many of the first compounds listed in the New System of Chemical Philosophy correspond to modern views, although many others do not. Dalton used his own symbols to visually represent the atomic structure of compounds. They were depicted in the New System of Chemical Philosophy, where he listed 21 elements and 17 simple molecules.
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In addition to propositions, JOSS also had the concept of "conditional expressions". These consisted of strings of propositions along with code that would run if that proposition was true. This allowed multi-step decision trees to be written in a single line. They serve a purpose similar to the ternary operator found in modern languages like C or Java, where they are used to return a value from a compact structure implementing if-then-else.
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In logic, an infinite-valued logic (or real-valued logic or infinitely-many- valued logic) is a many-valued logic in which truth values comprise a continuous range. Traditionally, in Aristotle's logic, logic other than bivalent logic was abnormal, as the law of the excluded middle precluded more than two possible values (i.e., "true" and "false") for any proposition. Modern three-valued logic (ternary logic) allows for an additional possible truth value (i.e.
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This process is regulated by two pathways. The first is by CED-6, which is an adaptor protein that is responsible for coordinating protein-protein interactions between CED-10 and actin. The second pathway occurs when the CED-2/CED-5/CED-12 ternary structure form a GEF (guanine nucleotide exchange factor) with CED-10, which promotes the binding of a GTP energy molecule in order to activate the GTP-dependent CED-10.
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Listen Presto is in ternary form with a coda. The piece begins with a fortissimo introduction with a thick texture in the left hand consisting of chromatic sextuplets. The melody is a "rising quasi-military" idea, interspersed between replications of the left hand figure, the mostly two-note melody being a strong unifying element. The middle section is a brief period of pianississimo falling figures in the right hand and rising scales in the left.
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The first movement is in ternary form (ABA′, plus a coda), the main theme of which begins with a rising-scale violin melody heavily laden with Gypsy influences, including the characteristic dotted rhythms. This is a Romanian fiddle tune from Mureş County, Transylvania . It is in the Lydian mode, first occurring on G, with a drone-like accompaniment in the piano part. When it returns in the third section, it is transposed to C .
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As topoisomerases generate breaks in DNA, they are targets of small-molecule inhibitors that inhibit the enzyme. Type 1 topoisomerase is inhibited by irinotecan, topotecan and camptothecin. The human topoisomerase type IB enzyme forms a covalent 3'-phosphotyrosine intermediate, the topoisomerase 1-cleavage-complex (Top1cc). The active irinotecan metabolite, SN-38, acts by trapping (making a ternary complex with) a subset of Top1cc, those with a guanine +1 in the DNA sequence.
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The Weichsel conjecture was answered in the affirmative by Östergård and Weakley,Östergård P.; Weakley W. D. "Constructing covering codes with given automorphisms", Des. Codes Cryptogr. 16 (1999), 65-73 who found a perfect dominating set in the 13-cube whose components are 26 4-cubes and 288 isolated vertices. Dejter and PhelpsDejter I. J.; Phelps K. T. "Ternary Hamming and Binary Perfect Covering Codes", in: A. Barg and S. Litsyn, eds.
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In this process, the phosphide reagent is generated from sodium metal and white phosphorus, whereupon it immediately reacts with the indium salt: : Na3P + InCl3 → InP + 3NaCl Sodium phosphide is also employed commercially as a catalyst in conjunction with zinc phosphide and aluminium phosphide for polymer production. When Na3P is removed from the ternary catalyst polymerization of propylene and 4-methyl-1-pentene is not effective.Atarashi, Y.; Fukumoto, O. Japanese Patent No. JP 42,006,269.
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Lambek (1961) took Melzak's ternary model and atomized it down to the two unary instructions—X+, X- if possible else jump—exactly the same two that Minsky (1961) had come up with. However, like the Minsky (1961) model, the Lambek model does execute its instructions in a default-sequential manner—both X+ and X- carry the identifier of the next instruction, and X- also carries the jump-to instruction if the zero-test is successful.
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Liszt transforms the "marcato" motif into a lyrical melody later. The slow movement, an Andante sostenuto, is the centerpiece of the Sonata. This fully-fledged movement, in compound ternary form, features, in quick succession, a number of themes heard earlier in the Sonata in a tour de force of thematic economy. The final recapitulatory section is launched by a driving fugato of contrapuntal skill which leads to the compressed return of the opening material.
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Three of the instrumental pieces comprise the suite. The first of these, entitled "In the King's Hall", is a prelude in ternary form which opens with a bassoon and clarinet theme played against plucked strings. The musical material of the exterior sections comes from the trio of a gavotte for piano that Grieg composed in 1867 and left unpublished. The second, "Borghild's Dream", is an intermezzo contrasting a sensitive string melody with an agitated section.
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One result of the relative economy of base 3 is that ternary search trees offer an efficient strategy for retrieving elements of a database. A similar analysis suggests that the optimum design of a large telephone menu system to minimise the number of menu choices that the average customer must listen to (i.e. the product of the number of choices per menu and the number of menu levels) is to have three choices per menu.
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The domain forms an eight-stranded beta sandwich constructed around a conserved 4-stranded motif, designated a C2 key. Calcium binds in a cup-shaped depression formed by the N- and C-terminal loops of the C2-key motif. Structural analyses of several C2 domains have shown them to consist of similar ternary structures in which three Ca2+-binding loops are located at the end of an 8 stranded antiparallel beta sandwich.
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GTPases are enzymes that bind to a molecule called guanosine triphosphate (GTP) which they then hydrolyze to create guanosine diphosphate (GDP) and release energy. Ran is in a different conformation depending on whether it is bound to GTP or GDP. In its GTP bound state, Ran is capable of binding karyopherins (importins and exportins). Importins release cargo upon binding to RanGTP, while exportins must bind RanGTP to form a ternary complex with their export cargo.
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The second variation involves very little actual variation, and is closer to a literal re-statement of the theme that one would see in ternary form or a rondo. Also unconventionally, the second and third so-called variations are separated by an eight-measure free-form passage. The cello enjoys a prominent role throughout the movement, with the viola often substituting as the bass accompaniment. The cello also presents the movement's opening theme.
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The scherzo itself is a rounded binary form, but, like the minuet, is usually played with the accompanying trio followed by a repeat of the scherzo, creating the ABA or ternary form. This is sometimes done twice or more (ABABA). The "B" theme is a trio, a contrasting section not necessarily for only three instruments, as was often the case with the second minuet of classical suites (the first Brandenburg Concerto has a famous example).
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According to musicologist Patrick Gowers, singers who attempted to tone down this joke infuriated him.Patrick Gowers and Nigel Wilkins, "Erik Satie", "The New Grove: Twentieth-Century French Masters", Macmillan Publishers Limited, London, 1986, p. 142. Reprinted from "The New Grove Dictionary of Music and Musicians", 1980 edition. Musically the songs are all in simple ternary form and identical in rhythm, six 8th-notes and a quarter-note, though with subtle harmonic differences.
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The catalytic cycle of the reaction catalyzed by DHFR incorporates five important intermediate: holoenzyme (E:NADPH), Michaelis complex (E:NADPH:DHF), ternary product complex (E:NADP+:THF), tetrahydrofolate binary complex (E:THF), and THF‚NADPH complex (E:NADPH:THF). The product (THF) dissociation step from E:NADPH:THF to E:NADPH is the rate determining step during steady-state turnover. Conformational changes are critical in DHFR's catalytic mechanism. The Met20 loop of DHFR is able to open, close or occlude the active site.
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The movement is in E minor. The piece then moves into a technically demanding tenor aria dominated by swirling string lines. The movement is in a combined ternary and ritornello form, adopting a heavy emphasis on the words komm and eilet ("come" and "hasten"), and concludes with a modulation to a minor key and darker harmonies. The bass recitative, like the earlier alto, is rather short and simple in comparison to the arias.
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It contains a linearly-arranged catalytic triad of Asp153, His154, and Cys156. It runs on a ping-pong mechanism, where the cysteine attacks the acyl-CoA to form an S-acylated DHHC, and then the acyl group is transferred to the substrate. DHHR enzymes exist, and it (as well as some DHHC enzymes) may use a ternary complex mechanism instead. An inhibitor of S-palmitoylation by DHHC is 2-Bromopalmitate (2-BP).
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Several structures of the DHHC domain has been solved, and it is known to run on a linearly-arranged catalytic triad of Asp153, His154, and Cys156. It runs on a ping-pong mechanism, where the cysteine attacks the acyl-CoA to form an S-acylated DHHC, and then the acyl group is transferred to the substrate. DHHR enzymes exist exist, and it (as well as some DHHC enzymes) may use a ternary complex mechanism instead.
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The second movement of the Piano Sonata is in two-part ternary form. A seven-measure interlude in G major links the first and second movements, after which there is a relative minor key area (E minor). The second movement's main theme is based on a motive of a sequentially repeated falling third. The second movement references material from the first movement, which is the first instance of cyclic unity in the sonata.
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While based on C, NWScript does not have many functions from the C family, excluding logical and binary / ternary operators and some mathematical functions. Function source code is not accessible to the end-user, but the correct syntax is defined in a script file called nwscript.nss. The users can create their own functions, and these can be included in other scripts through the #include directive, which works slightly differently than in C++.
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The protein encoded by this gene is found in the nucleus, where it functions as an SII class transcription elongation factor. Elongation factors in this class are responsible for releasing RNA polymerase II ternary complexes from transcriptional arrest at template-encoded arresting sites. The encoded protein has been shown to interact with general transcription factor IIB, a basal transcription factor. Two transcript variants encoding different isoforms have been found for this gene.
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Examples for organic polymer solutions with UCST are polystyrene in cyclohexane,J. Hashizume, A. Teramoto, H. Fujita, Phase Equilibrium Study of the Ternary System Composed of Two Monodisperse Polystyrenes and Cyclohexane, Journal of Polymer Science, Polymer Physics Edition, 1981, Volume 19, pp 1405-1422. polyethylene in diphenyletherA. Nakajima, F. Hamada, S. Hayashi, Unperturbed Chain Dimensions of Polyethylene in Theta Solvents, Journal of Polymer Science, Part C: Polymer Symposium, 1966, Volume 15, pp 285-294.
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PSI-Plot provides various 2D and 3D plot types and allows users to customize the graphics in great detail for visual presentations and for submission to research journals for publication. Users have full control of plot and label attributes, including background color, color gradients, size, and thickness. PSI-Plot supports 2D and 3D Cartesian coordinate systems as well as special coordinate systems such as polar, Smith, ternary (triangle), Nichols, cylindrical, and spherical systems.
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The work, which has its title from a passage in Plato's Timaeus, is born from the Mafonso for the human head. This and 'a central element in his poetry, a theme that the artist has here treated with a ternary representation modulated on three shaped profiles and almost engraved in steel,' 'drawing' 'at the same time light and obligations that arise from the rough metal material scraped and left in the vividness of its harshness'.
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There are four movements: #Allegro, C minor, sonata form #Andante, E-flat major, sonata form #Menuet & Trio, C minor, Trio in C major, ternary form #Allegro, C minor, ends in C major, variation form with the fifth variation (in E-flat major) augmented. The minuet is a canon. The oboes carry the melody with the bassoons answering one bar later. The trio is also canonic with the response to the melody played upside down.
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Keller studies the organization of lipids in membranes. Cell membranes are composed of lipids and proteins. Her early work "Separation of liquid phases in giant vesicles of ternary mixtures of phospholipids and cholesterol" used fluorescence microscopy to observe a mixture of saturated and unsaturated lipids and observed microscopic separations of two coexisting liquid phases—miscibility transition. Her works contributed to models of protein aggregation within membranes and the theory of membrane lateral pressure.
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Contrastivism, or the contrast theory of meaning, is an epistemological theory proposed by Jonathan Schaffer that suggests that knowledge attributions have a ternary structure of the form 'S knows that p rather than q'. This is in contrast to the traditional view whereby knowledge attributions have a binary structure of the form 'S knows that p'. Contrastivism was suggested as an alternative to contextualism. Both are semantic theories that try to explain skepticism using semantic methods.
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Appropriately total co-cyclic orders are related to cyclic orders in the same way that is related to . A cyclic order obeys a relatively strong 4-point transitivity axiom. One structure that weakens this axiom is a CC system: a ternary relation that is cyclic, asymmetric, and total, but generally not transitive. Instead, a CC system must obey a 5-point transitivity axiom and a new interiority axiom, which constrains the 4-point configurations that violate cyclic transitivity.
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Movement 1, “Joyeux,” is a frolicsome piece in ternary form that juxtaposes duple and triple meters between strings and woodwinds. Played separately, the soaring melodies of the flute and the English horn are typical of the romantic period but are contrasted with the aggressive double bass line. However, as is typical of Milhaud’s polyphony, the voices sound fairly cacophonic when played simultaneously. The movement frantically climaxes and suddenly ends, following a quick run in the woodwinds.
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5 Swiss francs In metallurgy, melchior is an alloy of copper, mainly with nickel (5–30%). Its name originates from , which in turn is distorted , honoring the French inventors of the alloy, Maillot and Chorier. The term melchior sometimes refers not only to the copper-nickel alloys, but also ternary alloys of copper with nickel and zinc ("nickel silver") and even a silvered brass. Melchior is easily deformable by application of pressure, both in the hot and cold state.
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This movement starts with a motif beginning on G with alternating minor seconds and octaves in the oboe; simultaneously, an inversion of this motif starting on E-sharp is played by the English horn. A similar motif is played between the bassoons, with alternating minor seconds and major seventh intervals instead. This motif is repeated several times throughout the movement, occasionally in fragments and by different instruments. This movement may have been composed in ternary form.
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The product of this gene functions in the NF-kappaB signal transduction pathway. The encoded protein, and the similar and functionally redundant protein MAP3K7IP2/TAB2, forms a ternary complex with the protein kinase MAP3K7/TAK1 and either TRAF2 or TRAF6 in response to stimulation with the pro-inflammatory cytokines TNF or IL-1. Subsequent MAP3K7/TAK1 kinase activity triggers a signaling cascade leading to activation of the NF-kappaB transcription factor. The human genome contains a related pseudogene.
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Typical dots are made of binary compounds such as lead sulfide, lead selenide, cadmium selenide, cadmium sulfide, cadmium telluride, indium arsenide, and indium phosphide. Dots may also be made from ternary compounds such as cadmium selenide sulfide. Further, recent advances have been made which allow for synthesis of colloidal perovskite quantum dots. These quantum dots can contain as few as 100 to 100,000 atoms within the quantum dot volume, with a diameter of ≈10 to 50 atoms.
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Stepping up into the key of A major, it soon becomes apparent that the "Trio" is also in Ternary form, like the "Menuetto". One may note the fact that no sections of the "Trio" are marked as forte. All is marked as piano, with the exception of bars 33–36, and 43–44, where Mozart has indicated a small crescendo. Perhaps to supplement the fact of any clear contrast in dynamics, Mozart has freely used sforzandos throughout the "Trio".
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FRAS1-related extracellular matrix protein 2 is a protein that in humans is encoded by the FREM2 gene. This gene encodes a membrane protein that belongs to the FRAS1 family. This extracellular matrix protein is thought to be required for maintaining the integrity of the skin epithelium and the differentiated state of renal epithelia. The protein localizes to the basement membrane, forming a ternary complex that plays a role in epidermal-dermal interactions during morphogenetic processes.
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In chemistry, the Grimm–Sommerfeld rule predicts that binary compounds with covalent character that have an average of 4 electrons per atom will have structures where both atoms are tetrahedrally coordinated (e.g. have the wurtzite structure). Examples are silicon carbide, the III-V semiconductors indium phosphide and gallium arsenide, the II-VI semiconductors, cadmium sulfide, cadmium selenide. Gorynova expanded the scope of the rules to include ternary compounds where the average number of valence electrons per atom was four.
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Scherzo for Today is a short two-minute piece composed for use as the opening theme of NBC's The Today Show. Its mood was intended to be celebratory and flashy. Like most scherzos, it is light and upbeat, and utilizes ternary or "ABA" form. The "A" theme, carried by the strings, is rather jumpy and loud, with the brass serving as a raucous accompaniment, and the "B" theme, the theme of The Today Show, is smoother and more melodic.
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Different sources use different glyphs used to represent the three digits in balanced ternary. In this article, T (which resembles a ligature of the minus sign and 1) represents −1, while 0 and 1 represent themselves. Other conventions include using '−' and '+' to represent −1 and 1 respectively, or using Greek letter theta (Θ), which resembles a minus sign in a circle, to represent −1. In publications about the Setun computer, −1 is represented as overturned 1: "".
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Balanced ternary division is analogous to that of binary and decimal. However, 0.510 = 0.1111...bal3 or 1.TTTT...bal3. If the dividend over the plus or minus half divisor, the trit of the quotient must be 1 or T. If the dividend is between the plus and minus of half the divisor, the trit of the quotient is 0. The magnitude of the dividend must be compared with that of half the divisor before setting the quotient trit.
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Fig. 17. The boron-rich corner of the Sc-B-C phase diagram. Scandium has the smallest atomic and ionic (3+) radii (1.62 and 0.885 Å, respectively) among the rare-earth elements. It forms several icosahedron-based borides which are not found for other rare-earth elements; however, most of them are ternary Sc-B-C compounds. There are many boron-rich phases in the boron-rich corner of Sc-B-C phase diagram, as shown in figure 17.
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Additionally, the formation of this complex enables glutamate to react with aminotransferase without interfering activity of malate dehydrogenase. The formation of this ternary complex also facilitates the release of oxaloacetate from malate dehydrogenase to aminotransferase. Kinetically, the binding of malate dehydrogenase to the binary complex of alpha ketoglutarate dehydrogenase and aminotrannferase has been shown to increase reaction rate of malate dehydrogenase because the Km of malate dehydrogenase is decreased when it is bound as part of this complex.
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The secondary constituents are often called solutes. If there is a mixture of only two types of atoms (not counting impurities) such as a copper-nickel alloy, then it is called a binary alloy. If there are three types of atoms forming the mixture, such as iron, nickel and chromium, then it is called a ternary alloy. An alloy with four constituents is a quaternary alloy, while a five-part alloy is termed a quinary alloy.
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This gene encodes a member of the exophilin subfamily of Rab effector proteins. The protein forms a ternary complex with the small Ras-related GTPase Rab27A in its GTP-bound form and the motor protein myosin Va. A similar protein complex in mouse functions to tether pigment-producing organelles called melanosomes to the actin cytoskeleton in melanocytes, and is required for visible pigmentation in the hair and skin. In melanocytic cells MLPH gene expression may be regulated by MITF.
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The second movement is in the key of A-flat major, in this context a key relatively remote from the concerto's opening key of C major. If the movement adhered to traditional form, its key would be F major, the subdominant key, or in G major, the dominant key. The clarinets are given an unusually prominent role in this movement, having the melody as often as violins. Like many slow movements, this movement is in ternary (ABA) form.
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In DeLisi, C., and Blumenthal, R. (Ed.): Physical Chemical Aspects of Cell Surface Events in Cellular Regulation. New York, Elsevier, North Holland, 1979. predicted, several years in advance of experimental demonstration, that the signal generated when a nerve growth factor binds its plasma membrane receptor is transduced by receptor dimerization. In immunology, DeLisi was a strong proponent of the controversial hypothesis that the response of T cells to antigenic stimulation involves the formation of a ternary complex.
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The minuet was slightly old-fashioned by Mozart's time. It was of aristocratic origin, elegant and stately. Mozart wrote his minuets in ternary form; that is, first the minuet proper, then a contrasting trio section, followed by a return of the minuet.Abert (2007, 1149) Mozart also wrote a great number of minuets intended for listening rather than dancing: they occur (usually as the third of four movements) in his symphonies, string quartets, and many other works.
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ETS Like-1 protein Elk-1 is a protein that in humans is encoded by the ELK1. Elk-1 functions as a transcription activator. It is classified as a ternary complex factor (TCF), a subclass of the ETS family, which is characterized by a common protein domain that regulates DNA binding to target sequences. Elk1 plays important roles in various contexts, including long-term memory formation, drug addiction, Alzheimer's disease, Down syndrome, breast cancer, and depression.
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If, however, the key's first character is equal to the node's value then the insertion procedure is called on the equal kid and the key's first character is pruned away. Like binary search trees and other data structures, ternary search trees can become degenerate depending on the order of the keys. Inserting keys in alphabetical order is one way to attain the worst possible degenerate tree. Inserting the keys in random order often produces a well- balanced tree.
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In such cases, occasionally only the first section of the binary structure is marked to be repeated. Although most of Chopin's nocturnes are in an overall ternary form, quite often the individual sections (either the A, the B, or both) are in binary form, most often of the asymmetrical variety. If a section of this binary structure is repeated, in this case it is written out again in full, usually considerably varied, rather than enclosed between repeat signs.
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As a result, the 252nd Infantry Division was fully returned to a ternary model, but the total number of battalions within the division did not actually change. On 9 October 1944, Paul Drekmann became divisional commander. On 18 October 1944, the division was strengthened by Grenadier Regiment 1072 and Combat March Battalion 1039. In late 1944, the 252nd Infantry Division participated in the retreat across Lithuania and Poland, and was eventually trapped in Danzig and on the Hel peninsula.
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InGaN blue LED (380–405 nm) Ce:YAG phosphor Indium gallium nitride (InGaN, x1−x) is a semiconductor material made of a mix of gallium nitride (GaN) and indium nitride (InN). It is a ternary group III/group V direct bandgap semiconductor. Its bandgap can be tuned by varying the amount of indium in the alloy. InxGa1−xN has a direct bandgap span from the infrared (0.69 eV) for InN to the ultraviolet (3.4 eV) of GaN.
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In a physical or geochemical system, a solvus is a line (binary system) or surface (ternary system) on a phase diagram which separates a homogeneous solid solution from a field of several phases which may form by exsolution or incongruent melting. The line determines a solid solubility limit which changes as a function of temperature. It is a locus of points on the equilibrium diagram. An example is the formation of perthite when an alkali feldspar is cooled down.
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To accomplish the same using an if-statement, this would take more than one line of code (under typical layout conventions), and require mentioning "my_variable" twice: if (x > 10) my_variable = "foo"; else my_variable = "bar"; Some argue that the explicit if/then statement is easier to read and that it may compile to more efficient code than the ternary operator, while others argue that concise expressions are easier to read than statements spread over several lines containing repetition.
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Second page of Sinfonia The cantata begins with the instrumental Sinfonia. Set in G major, it is in a triple meter in siciliano rhythm. Albert Schweitzer likened the music to a concerto of the shepherds, playing oboes, and the angels playing strings and flute in unison with the first violin. The movement is a ternary form, ABA', repeating the beginning modified after a middle section, and this a forerunner of the classical sonata form, as Dürr notes.
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Eukaryotic translation initiation factor 2 (eIF2) functions in the early steps of protein synthesis by forming a ternary complex with GTP and initiator tRNA and binding to a 40S ribosomal subunit. eIF2 is composed of three subunits, alpha (α), beta (β, this article), and gamma (γ), with the protein encoded by this gene representing the beta subunit. The beta subunit catalyzes the exchange of GDP for GTP, which recycles the eIF2 complex for another round of initiation.
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The first fluorozirconate glass was a serendipitous discovery in March 1974 by the Poulain brothers and their co-workers at the University of Rennes in France. While looking for new crystalline complex fluorides, they obtained unexpected pieces of glass. In a first step, these glasses were investigated for spectroscopic purposes. Glass formation was studied in the ZrF4-BaF2-NaF ternary system while the fluorescence of neodymium was characterized in quaternary ZrF4-BaF2-NaF-NdF3 bulk samples.
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This page contains tables of azeotrope data for various binary and ternary mixtures of solvents. The data include the composition of a mixture by weight (in binary azeotropes, when only one fraction is given, it is the fraction of the second component), the boiling point (b.p.) of a component, the boiling point of a mixture, and the specific gravity of the mixture. Boiling points are reported at a pressure of 760 mm Hg unless otherwise stated.
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In logic, William of Ockham wrote down in words the formulae that would later be called De Morgan's Laws,In his Summa Logicae, part II, sections 32 and 33.Translated on page 80 of Philosophical Writings, tr. P. Boehner, rev. S. Brown, (Indianapolis, IN, 1990) and he pondered ternary logic, that is, a logical system with three truth values; a concept that would be taken up again in the mathematical logic of the 19th and 20th centuries.
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Warren Teitelman presented a novel scheme for real time character recognition in his master's thesis submitted in 1966 at MIT. A rectangle, in which a character is to be drawn, is divided into two parts, one shaded and the other unshaded. Using this division a computer converts characters into ternary vectors (a list composed of 3 values: 0, 1, or −) in the following way. If a pen enters the shaded region, a 1 is added to the vector.
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The prelude is strictly ternary. In measure 8 (part of the "A" section), a parallel period with a semi-cadence is introduced, and in measure 16 a perfect authentic cadence follows. Reference to the "A" section cadence at measure 17: 200px Measure 17 Following the reference, measures 1 and 2 are embellished to form the "B" section. Measures 42–62 mark a return to the "A" section, followed by relatively short coda that reflects the main theme.
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Like all of Chopin's other études, this work is in ternary form ABA. The two eight-bar periods of the A section are characterized by frequent dynamic contrasts. Each reentry of the first bar, occurring every four bars, is marked by a forte, followed in the second bar by a piano restatement in a lower register. This capricious opening in the tonic is replied by an upward movement and a syncopated accompaniment in the third and fourth bar.
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Borui GE PHEV carries an 11.5 kW/h ternary lithium battery provided by Ningde Century which supports power from charging piles outputs 6.6 kW or 3.3 kW and 220V household. When using 6.6 kW charging piles, Borui GE needs only 1.5 hours to finish charging and would able to cruise 60 km or more without petrol. Battery uses "T segment" and a Geely "P2.5 system". The transmission carries a 1.5TD petrol engine and a 7-speed DCT gearbox.
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The -ary heap or -heap is a priority queue data structure, a generalization of the binary heap in which the nodes have children instead of 2. Thus, a binary heap is a 2-heap, and a ternary heap is a 3-heap. According to Tarjan and Jensen et al.,. -ary heaps were invented by Donald B. Johnson in 1975.. This data structure allows decrease priority operations to be performed more quickly than binary heaps, at the expense of slower delete minimum operations.
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Temperley opines that these works, which contain "immense variety of mood, thematic material and structural detail", are based on an extended "departure and return" form; "the more the middle section is extended, and the further it departs in key, mood and theme, from the opening idea, the more important and dramatic is the reprise when it at last comes."Temperley (1980), p. 304. Chopin's mazurkas and waltzes are all in straightforward ternary or episodic form, sometimes with a coda.Jones (1998b), p.
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This movement is written in ternary form, and is in the key of C minor – "the most tonally remote inner movement in Schubert's mature instrumental works in sonata form".Fisk, Returning Cycles, pp. 62–63. In the main section, a somber melody is presented over a relentless rocking rhythm in a texture swimming in pedal. The central section is written in A major and presents a choral melody over an animated accompaniment; it later touches upon B major, the sonata's home key.
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The Analysis of Music, p. 50. . ;Binary form: This form uses two sections (AB...), each often repeated (AABB...) In 18th-century Western classical music, "simple binary" form was often used for dances and carried with it the convention that the two sections should be in different musical keys but same rhythm, duration and tone. The alternation of two tunes gives enough variety to permit a dance to be extended for as long as desired. ;Ternary form: This form has three parts.
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This type of six-bar linkage is said to have the Watt topology.An animation of a six-bar linkage with the Watt topology. A six-bar linkage can also be constructed by first assembling five binary links into a pentagon, which uses five of the seven joints, and then completing the linkage by adding a binary link that connects two sides of the pentagon. This again creates two ternary links that are now separated by one or more binary links.
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The work is in loose ternary form, with an abridged da capo section. The introduction of the piece corresponds to No. 7 of the complete ballet score, The Prince Gives His Order, which is following The Fight between the Montagues and the Capulets. This theme is related to death and later served as the Introduction of Act III, after the fatal duel between Mercutio and Tybalt. It begins very loud, then drops to pianissimo, which is played by the strings.
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Subsequent steps do not remove these (or other) endpoints, since the intervals removed are always internal to the intervals remaining. So the Cantor set is not empty, and in fact contains an uncountably infinite number of points (as follows from the above description in terms of paths in an infinite binary tree). It may appear that only the endpoints of the construction segments are left, but that is not the case either. The number 1⁄4, for example, has the unique ternary form 0.020202... = .
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The work is in standard four movement form and scored for flute, two oboes, two bassoons, two horns, and strings. #Largo — Allegro #Andante, in B major #Menuet e Trio, #Finale: Vivace The slow second movement is a hybrid between ternary and variation form. The main theme is similar in shape to the introduction to the first movement. After the theme is stated, there is a contrasting passage in the minor which is only loosely based melodically on the main theme.
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The Nocturne in G minor is initially marked as andante sostenuto and is in 4/4 meter. In measure 41, the key changes to E-flat major and returns to G minor in measure 67. The piece is a total of 91 measures long, ending with a Picardy third, and is in ternary form. One of Chopin's students once claimed that Chopin himself forgot to mark the increase in tempo for the chorale, which led to the section being played too slowly.
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The sonata begins with the optimistic 20 ans, played very quickly and lively. The sonata opens with 20 ans, a quickly played piece based in D major but also with many passages in the relative minor key of B minor. The young man's 'clumsiness' is marked for example by sudden 'wrong chords' – one in B major is marked 'ridente' (Italian: laughing). The key, tempo and ternary form of this movement are similar to Frédéric Chopin's Scherzo No. 1 (Op. 20).
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Paraguayan polka, also known as Danza Paraguaya (Paraguayan dance), is a style of music created in Paraguay in the 19th century. The Paraguayan polka is very different from the traditional polka, mainly because the Paraguayan version combines ternary and binary rhythms, whereas the European only uses binary. The juxtaposition of the mentioned rhythms gives the peculiar sound that characterizes this style. There are several variants of the Paraguayan polka such as polca syryry, polca kyre'y, polca popo, polca saraki, polca galopa, polca jekutu.
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Indium gallium nitride (InGaN) is a semiconductor material made of a mix of gallium nitride (GaN) and indium nitride (InN). It is a ternary group III/V direct bandgap semiconductor. Its bandgap can be tuned by varying the amount of indium in the alloy from 0.7 eV to 3.4 eV, thus making it an ideal material for solar cells. However, its conversion efficiencies because of technological factors unrelated to bandgap are still not high enough to be competitive in the market.
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In this phase, an Enzyme-Substrate complex is established, characterized by the appearance of a "Charge-transfer complex". Na 2stHR, the quinone binds and the 2 electrons and one of the FAD protons are transferred for this second substrate (again, with an additional proton from the bulk), forming the product quinol. It is now accepted that the overall mechanism occurs by a ternary complex (simultaneous binding of both substrates to the enzyme), instead of the previously proposed ping-pong mechanism.
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Depending on the problem at hand, the pre-order, in-order or post-order operations may be void, or you may only want to visit a specific child, so these operations are optional. Also, in practice more than one of pre-order, in-order and post-order operations may be required. For example, when inserting into a ternary tree, a pre-order operation is performed by comparing items. A post-order operation may be needed afterwards to re-balance the tree.
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A compound semiconductor is a semiconductor compound composed of chemical elements of at least two different species. These semiconductors typically form in periodic table groups 13–15 (old groups III–V), for example of elements from the Boron group (old group III, boron, aluminium, gallium, indium) and from group 15 (old group V, nitrogen, phosphorus, arsenic, antimony, bismuth). The range of possible formulae is quite broad because these elements can form binary (two elements, e.g. gallium(III) arsenide (GaAs)), ternary (three elements, e.g.
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Upon binding the ribosome (which streptogramin B can accomplish at any stage of protein synthesis), streptogramin B prevents protein chain extension and can initiate the release of incomplete peptides. When both streptogramins are bound to the ribosome, they form an extremely stable ternary complex. In 1999 the FDA had approved Synercid, a drug containing streptogramins A and B in a 7:3 ratio respectively. This intravenously-injected drug is used to treat patients with bacteremia caused by vancomycin-resistant Enterococcus faecium.
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These dance rhythms may not agree with the rhythms and meters performed by the musicians. For example, the rhythm of the dance kopanitsa is often described as quick- quick-slow-quick-quick, () whereas the tune may be played in what may be written as , i.e., an time with primary accent at 1, secondary accents at 5 and 8, and ternary accents at 3, 7, and 10. The dancers thus dance to a meter composition , which may also be played by the musicians, e.g.
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The opening movement, "" (You true God and Son of David), is "a sinewy and somewhat enigmatic quintet" for soprano and alto voices (assuming the role of the blind man addressing Jesus) with low active oboes and continuo. The movement is in adapted ternary form with an opening and closing "Italianate" ritornello. The soprano line includes a "drooping" motive, hinting at later harmonic and emotional development. There is a "thorny, even awkward juxtaposition of triple and duple meters" throughout the duet.
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Starting out from those two schemes, all other modalities developed, e.g. fours (four possible even beats per each player, which may be described as four semiquavers in 2/4 time) or the so- called Papua pattern, among others, where while sticking to a ternary pattern the players add a fourth strike onto the lapse of time belonging to their mate by overlapping their first strike, resulting in a stressed beat repeated every turn of a player that conjures up a tribal like movement.
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The fourth subsection is a modified repetition of the second. The chromatic harmonies of the slow, B section are reminiscent of the slow passages in the String Quartet and Lyric Suite of Alban Berg. The concluding Allegro is a nearly literal repetition of just the third subsection from the first part of the movement . The second movement is in the same fast-slow-fast ternary pattern as the first, but the two A sections are identical and divided into just two subsections.
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The alkali metals also react similarly with hydrogen to form ionic alkali metal hydrides, where the hydride anion acts as a pseudohalide: these are often used as reducing agents, producing hydrides, complex metal hydrides, or hydrogen gas. Other pseudohalides are also known, notably the cyanides. These are isostructural to the respective halides except for lithium cyanide, indicating that the cyanide ions may rotate freely. Ternary alkali metal halide oxides, such as Na3ClO, K3BrO (yellow), Na4Br2O, Na4I2O, and K4Br2O, are also known.
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The work is in ternary form, with the music of the opening returning at the end, with Fand's love-song in between. The opening is a shimmering theme played by woodwind, two harps and divided upper strings, with the lower strings playing a rising and falling theme illustrative of the swell of the sea. Fand's song, in the central section, is played by flute and cor anglais in unison, over strings divided into ten parts. Bax's orchestration is on his customary lavish scale.
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Poco lento - Allegro 4/4 D major This movement, written in unusual sonata form combined with ternary form, begins with a large introduction, which d'Indy calls the Lied (song) and also L'idée mère (fundamental or generative idea). The first violin plays the main theme of the introduction over the harmonic accompaniment of strings (Excerpt 1). This subject will appear in this and later movements as the first cyclic theme. The introduction comprises Excerpt 1 and Excerpt 2, which is played quietly in contrast.
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Xiaodong Wang (, born 1963) is a Chinese-American biochemist best known for his work with cytochrome c. His laboratory developed an in-vitro assay for the activation of the apoptosis related proteinase Caspase-3. This allowed the biochemical purification of a complex of Cytochrome c, Caspase-9 and the Apoptotic Protease Activating factor-1 (APAF1). These components are essential for forming a ternary complex called the apoptosome that activates Caspase-3 downstream of the intracellular or mitochondrial pathway of apoptosis.
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Due to its geographical roots, tropical music generally combines elements from European and African traditions. An example of this is the process of binarization of ternary rhythms brought from Africa, which took place originally in Cuba, later spreading throughout the rest of the Caribbean and Latin America. The presence of syncopated polyrhythms of African origin make most tropical music naturally dance-oriented. Tropical music instrumentation also includes both European (tres, piano, trumpet, timbales) and African-descended (congas, bongos, marimba) instruments.
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He used this movement to answer his critics. Normally, a scherzo is in triple time. Beethoven wrote this piece in triple time but punctuated it in a way that, when coupled with the tempo, makes it sound as if it is in quadruple time. While adhering to the standard compound ternary design (three-part structure) of a dance movement (scherzo-trio-scherzo or minuet-trio-minuet), the scherzo section has an elaborate internal structure; it is a complete sonata form.
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FPPS is the target of bisphosphonate drugs such as Fosamax (alendronate) and Actonel (risedronate). Bisphosphonate drugs are commonly prescribed for bone diseases including Paget’s disease, osteolytic metastases, and post-menopausal osteoporosis. Bisphosphonate drugs help maintain bone tissue in osteoporotic patients and reduce blood calcium levels in hypercalcemic patients by inhibiting FPPS in bone-reabsorbing osteoclasts. An FPPS-IPP-risendronate ternary complex demonstrated that risendronate binds to the trinuclear Mg2+ complex and interacts with the hydrophobic pocket in a manner similar to DMAPP.
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Citrus fruits clustered by genetic similarity, ternary diagram based on data from Curk, et al. (2016) Three-dimensional projection of a principal component analysis of citrus hybrids, with citron (yellow), pomelo (blue), mandarin (red), and micrantha (green) defining the axes. Hybrids are expected to plot between their parents. ML: ‘Mexican’ lime; A: ‘Alemow’; V: ‘Volkamer’ lemon; M: ‘Meyer’ lemon; L: Regular and ‘Sweet’ lemons; B: Bergamot orange; H: Haploid clementine; C: Clementines; S: Sour oranges; O: Sweet oranges; G: Grapefruits.
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On 18 January 1943, Carl Becker replaced Schellert as divisional commander. On 17 April 1943, the former Infantry Regiment 473, now renamed Grenadier Regiment 473, was dissolved. Two of the battalions were integrated into the Regiment 426 and 453. The rest of Regiment 473 became Divisional Battalion 473, resulting in a 253rd Infantry Division with two ternary regiments and one additional battalion, for a total of seven battalions. The 253rd Infantry Division took part in defeating the Soviet autumn offensives in late 1943.
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C and C-like languages have a special ternary operator (?:) for conditional expressions with a function that may be described by a template like this: `condition ? evaluated-when-true : evaluated-when-false` This means that it can be inlined into expressions, unlike if-statements, in C-like languages: my_variable = x > 10 ? "foo" : "bar"; // In C-like languages which can be compared to the Algol-family if–then–else expressions (in contrast to a statement) (and similar in Ruby and Scala, among others).
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Myotilin is a structural protein that, along with titin and alpha-actinin give structural integrity to sarcomeres at Z-discs in striated muscle. Myotilin induces the formation of actin bundles in vitro and in non-muscle cells. A ternary complex myotilin/actin/alpha-actinin can be observed in vitro and actin bundles formed under these conditions appear more tightly packed than those induced by alpha-actinin alone. It was demonstrated that myotilin stabilizes F-actin by slowing down the disassembly rate.
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The title track has an unconventional song structure that deviates from both standard song form and blues structures, as well as from Monk's African-American music roots. Its ternary form employs an eight-bar A section, followed by a seven-bar B section, and a modified seven-bar A section, and features a double-time theme in each second chorus and complex rhythmic accents. "Bemsha Swing" was the only composition on the album that Monk has recorded in a previous version.
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The quartet is in five movements: All five movements are in ternary (A-B-A) form. The quartet is in arch form, with a slow lyrical central movement enclosed by two scherzos themselves enclosed by two slow outer movements. English musicologist Peter Evans has remarked that that structure invites comparison with Bartók's fourth and fifth string quartets; only to dismiss that comparison almost as soon as made. In "Duets", Britten explores all six possible relationships between the four instruments in a quartet.
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Tungsten carbide is an industrially-relevant manifestation of this approach, although it is not considered superhard. Alternatively, borides combined with transition metals have become a rich area of superhard research and have led to discoveries such as ReB2, OsB2, and WB4. Superhard materials can be generally classified into two categories: intrinsic compounds and extrinsic compounds. The intrinsic group includes diamond, cubic boron nitride (c-BN), carbon nitrides and ternary compounds such as B-N-C, which possess an innate hardness.
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Hardy–Weinberg frequency as a function of p. A de Finetti diagram is a ternary plot used in population genetics. It is named after the Italian statistician Bruno de Finetti (1906–1985) and is used to graph the genotype frequencies of populations, where there are two alleles and the population is diploid. It is based on an equilateral triangle, and Viviani's theorem concerning any point within the triangle, and the three lines from that point that are perpendicular to the sides of the triangle.
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Initially, before its adoption in contexts other than social dance, the minuet was usually in binary form, with two repeated sections of usually eight bars each. But the second section eventually expanded, resulting in a kind of ternary form. The second (or middle) minuet provided form of contrast by means of different key and orchestration. On a larger scale, two such minuets might be further combined, so that the first minuet was followed by a second one and then by a repetition of the first.
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The overall form of this piece can be loosely attributed to a ternary ABA form, which splits nicely into sections at the written key change so that A encompasses the beginning to measure 46, B encompasses measures 47–71, and AI encompasses measure 72 to the end. Each larger section can be further divided into smaller sections and themes, which are arranged to give the piece a roughly symmetrical structure. The A section can itself be divided into three smaller sections: a1 (m. 1–15), a2 (m.
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The A section is homophonic, while the central B section features imitative textures and a xangô-like theme set against a syncopated accompaniment in quadruple time (; ). The third movement is also in ternary form, but with a variation. The A section falls into two parts, which are reversed in order when A is recapitulated after the central B section . The tonal language and textural features of the outer sections resemble those of the Bachianas Brasileiras, especially parts of the first movement of Bachianas No. 5.
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Given a linear order on a set , the cyclic order on induced by is defined as follows:; . : if and only if or or Two linear orders induce the same cyclic order if they can be transformed into each other by a cyclic rearrangement, as in cutting a deck of cards. One may define a cyclic order relation as a ternary relation that is induced by a strict linear order as above. Cutting a single point out of a cyclic order leaves a linear order behind.
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A cyclic order is required to be symmetric under cyclic permutation, , and asymmetric under reversal: . A ternary relation that is asymmetric under cyclic permutation and symmetric under reversal, together with appropriate versions of the transitivity and totality axioms, is called a betweenness relation. A separation relation is a quaternary relation that can be thought of as a cyclic order without an orientation. The relationship between a circular order and a separation relation is analogous to the relationship between a linear order and a betweenness relation.
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Acid hydrolysis of the isocyanate leads directly to the indoline (6), no doubt by way of internal Schiff base formation from the intermediate amine. Methylation by means of trimethyloxonium tetrafluoroborate affords ternary iminium salt 7. Treatment of that reactive carbonyl-like functionality with diazomethane gives the so- called azonia salt 8 (note the analogy to the hypothetical oxirane involved in ring expansion of ketones with diazomethane). Exposure of the aziridinium intermediate to base leads to ring opening and consequent formation of the octahydroisoquinoline (9).
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Lead tin telluride, also referred to as PbSnTe or Pb1−xSnxTe, is a ternary alloy of lead, tin and tellurium, generally made by alloying either tin into lead telluride or lead into tin telluride. It is a IV-VI narrow band gap semiconductor material. The band gap of Pb1−xSnxTe is tuned by varying the composition(x) in the material. SnTe can be alloyed with Pb (or PbTe with Sn) in order to tune the band gap from 0.29 eV (PbTe) to 0.18 eV (SnTe).
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By reacting the bromopyrogallol red with niobium(V) in a tartrate medium at pH 6.0, an intense blue coloured 3:1 reagent was formed. The sensitivity and conditional selectivity of bromopyrogallol red was also studied and results show that trace amounts of silver can be detected from the formation of a ternary complex between 1,10-phenanthroline, bromopyrogallol red and silver ion. This is because of the two adjacent phenol groups in the structure of bromopyrogallol red. Bromopyrogallol red is used as indicating reagent for rare-earth elements.
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In the development section, these sets are explored melodically, while the dotted rhythm figure gains even more importance. In the recapitulation, the chord progression of the first thematic complex is brought to the higher registers, preparing the coda based on secondary theme cantabile element, which gradually broadens. The second movement shifts to a different expressive world. A simple ternary form with a cadenza–AB (cadenza) A, the B section represents an acoustic departure as the chromatic figurations in the left hand, originating in section A, are muted.
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Franaszek's coding research determined fundamental aspects of constrained coding, and obtained algorithms for code construction. In early work associated with his "principal state" technique for block code construction, he designed MS43, a ternary code for data transmission, a modified version of which, MMS43, became a European standard. His work also served as a basis for key components in the proliferation of disk drives, compact disks (CDs), and digital versatile disks (DVDs). Specific codes he developed have been widely used in commercial data storage and transmission products.
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The ternary finale of the concerto is extended to a rondo (ABACA form) with an extended coda for the symphony. The new second episode is a contrapuntal F minor section which is quite turbulent and lends a symphonic weight to the movement that would be out of place in the earlier concerto. In the refrain, Haydn uses an unusual musical marking when the opening recurs in the second strain – strascinando – which instructs the performers to drag the beginning of this theme as it returns.
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Like all of Chopin's other études, this work is in ternary form A–B–A. The strict periodic structure contains eight-bar periods—two in the A section, forming a regular 16-bar period, three in the middle one and in the final A section a single eight-bar period expanded by five bars.Leichtentritt, p. 111 The harmonic relationships in the first eight bars, marked by a deceptive twist to bar 4 and a Neapolitan chord in bar 7, are shown in a harmonic reduction.
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Depending on context, unimodal function may also refer to a function that has only one local minimum, rather than maximum. For example, local unimodal sampling, a method for doing numerical optimization, is often demonstrated with such a function. It can be said that a unimodal function under this extension is a function with a single local extremum. One important property of unimodal functions is that the extremum can be found using search algorithms such as golden section search, ternary search or successive parabolic interpolation.
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One of the interesting property of the phasor approach is the linearity where the superposition of different spectra or decay curves can be analyzed by vectorial superposition of individual phasors. This is demonstrated in the figure where adding two spectra with different emission maximum resulted in a phasor which falls on a line connecting the phasors of individual phasors. For a ternary system adding 3 spectra falls inside a triangle made by phasors of individual spectra or decays. The linear property of phasor approach.
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The easiest axiom to generalize is the associative law. Ternary associativity is the polynomial identity , i.e. the equality of the three possible bracketings of the string abcde in which any three consecutive symbols are bracketed. (Here it is understood that the equations hold for arbitrary choices of elements a,b,c,d,e in G.) In general, n-ary associativity is the equality of the n possible bracketings of a string consisting of n+(n-1) = 2n-1 distinct symbols with any n consecutive symbols bracketed.
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Draft of Afferentur regi, page 2 The 38-bars piece scored in F major for mixed choir and three trombones ad libitum is a polyphonic offertory. The piece is in ternary form, with an opening motive drawn from a pre-existing Latin plainchant. In the first part (bars 1-7), "Afferentur regi" is sung in canon by the alto and tenor voices, and with inverted motif by the bass and soprano voices. A similar pattern is repeated in bars 8-15 on "proximae ejus".
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In 1906, precipitation hardening alloys were discovered by Alfred Wilm. Precipitation hardening alloys, such as certain alloys of aluminium, titanium, and copper, are heat-treatable alloys that soften when quenched (cooled quickly), and then harden over time. Wilm had been searching for a way to harden aluminium alloys for use in machine-gun cartridge cases. Knowing that aluminium-copper alloys were heat-treatable to some degree, Wilm tried quenching a ternary alloy of aluminium, copper, and the addition of magnesium, but was initially disappointed with the results.
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Magnus was born and raised in Belleville, Illinois. She earned degrees in physics and electrical engineering from the University of Missouri–Rolla (now known as the Missouri University of Science and Technology) before earning a PhD in materials science and engineering from the Georgia Institute of Technology in 1996. Research for her dissertation, entitled "An Investigation of the relationship between the thermochemistry and emission behavior of thermionic cathodes based on the BaO-Sc2O3-WO3 ternary system," was supported by a fellowship from the NASA Lewis Research Center.
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The new Märklin Digital system offered simultaneous control of up to 80 locomotives and 256 accessories. 14 locomotive speed steps (stop 0 and 1 - 14) were provided and an accessory "Function" that was used for locomotive front and rear headlights or TELEX remote uncoupling. Electronics of the time were relatively expensive and the system used ternary logic to reduce the number of components and cost of devices. Early decoders cost as much as many model locomotives and the expense of upgrading an existing layout was considerable.
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Because it is divisible by the sum of its digits in base 10, it is a Harshad number. A number system with base 60 is called sexagesimal (the original meaning of sexagesimal is sixtieth). It is the smallest positive integer that is written with only the smallest and the largest digit of base 2 (binary), base 3 (ternary) and base 4 (quaternary). 60 is also the product of the side lengths of the smallest whole number right triangle: 3, 4, 5, a type of Pythagorean triple.
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Tx(NCN)y binaries adopt generally structures with cationic layers made of octahedrally coordinated T2+/T3+ cations alternating with anionic layers of NCN2– in various structures such as rock-salt, NiAs- and NaN3-like structures. A side of binary carbodiimides, ternary (SrZn(NCN)2) and quaternary ones (Li2Sm2Sr(NCN)5 ) have also been prepared via solid-state metathesis. Dimorphism is observed in inorganic carbodiimide. HgNCN for example can adopt two structures with two different NCN configurations, this means that HgNCN can have either carbodiimide or cyanamide structures.
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The Leech lattice is also a 12-dimensional lattice over the Eisenstein integers. This is known as the complex Leech lattice, and is isomorphic to the 24-dimensional real Leech lattice. In the complex construction of the Leech lattice, the binary Golay code is replaced with the ternary Golay code, and the Mathieu group M24 is replaced with the Mathieu group M12. The E6 lattice, E8 lattice and Coxeter-Todd lattice also have constructions as complex lattices, over either the Eisenstein or Gaussian integers.
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In mathematics and electronics engineering, a binary Golay code is a type of linear error-correcting code used in digital communications. The binary Golay code, along with the ternary Golay code, has a particularly deep and interesting connection to the theory of finite sporadic groups in mathematics. These codes are named in honor of Marcel J. E. Golay whose 1949 paper introducing them has been called, by E. R. Berlekamp, the "best single published page" in coding theory. There are two closely related binary Golay codes.
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This return of the first melody quickly gives way to the rolling bass 2nd theme, which leads smoothly into the coda. In their reprisal, these two melodic themes are accompanied by slightly differing harmonies with modified embellishment in the right hand, as is typical of A' section of ternary Chopin nocturnes. The nocturne ends with a simple coda re-affirming solidly the key of E major, a technique which is common in other nocturnes including Op. 62 No. 1 and Op. 9 No. 2.
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In Haydn's day, the cello part would have been played by the principal cellist of the Eistenstadt orchestra, Joseph Franz Weigl. The D major third movement is a minuet and trio in ternary form, with the flute prominently featured in the trio. The last movement is based around a four-note figure which seems to foreshadow the last movement of Mozart's Jupiter Symphony: :Image:haydn-symph-13-last-mvmt.png The figure, which appears in various keys throughout the movement, is treated in a manner which hints at fugue.
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In recognition of his contributions, he was elected in 1988 a fellow of the American Institute of Physics and a Fellow of the American Physical Society. He was elected in 2001 a member of the National Academy of Sciences who specifically acknowleged his mastery of the ternary and quaternary oxides that produced materials possessing high-temperature superconductivity. In 1996 Cava received the Bernd T. Matthias Prize for new superconducting materials. He received in 2011 the Humboldt Prize and in 2012 the Linus Pauling Award.
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Silicon carbide and carbon (graphite) are two other refractory materials used in some very severe temperature conditions, but they cannot be used in contact with oxygen, as they would oxidize and burn. Binary compounds such as tungsten carbide or boron nitride can be very refractory. Hafnium carbide is the most refractory binary compound known, with a melting point of 3890 °C.Hafnium, Los Alamos National Laboratory The ternary compound tantalum hafnium carbide has one of the highest melting points of all known compounds (4215 °C).
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Semantically operators can be seen as special form of function with different calling notation and a limited number of parameters (usually 1 or 2). The position of the operator with respect to its operands may be prefix, infix or postfix, and the syntax of an expression involving an operator depends on its arity (number of operands), precedence, and (if applicable), associativity. Most programming languages support binary operators and a few unary operators, with a few supporting more operands, such as the ?: operator in C, which is ternary.
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Emanuele Vardaci et al. "Search for ternary fragmentation in the reaction 856 MeV 98Mo+51V: kinematic probing of intermediate-mass-fragment emissions", Physics Letters B, Volume 480, Issues 3–4 /May 2000, , pp. 239–244 Montoya now studies the effects of neutron emissions on measurements of fission fragments. M. Montoya et al., "Effects of Neutron Emission on Fragment Mass and Kinetic Energy Distribution from Thermal Neutron-Induced Fission of 235U", "AIP Conference Proceedings", American Institute of Physics, Volume 947/October 2007, , pp. 326–329M.
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Nuclear fission products are the atomic fragments left after a large atomic nucleus undergoes nuclear fission. Typically, a large nucleus like that of uranium fissions by splitting into two smaller nuclei, along with a few neutrons, the release of heat energy (kinetic energy of the nuclei), and gamma rays. The two smaller nuclei are the fission products. (See also Fission products (by element)). About 0.2% to 0.4% of fissions are ternary fissions, producing a third light nucleus such as helium-4 (90%) or tritium (7%).
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From 1935 to 1971 Darken was employed at U.S. Steel Corporation Research Laboratory where he was director of the Edgar C. Bain Laboratory for Fundamental Research. After his retirement from U.S. Steel in 1971, he was appointed professor of mineral science at Pennsylvania State University. In addition to his two equations on diffusion, Dr. Darken made contributions to the field with respect to chemical rate phenomena in liquid steel and slags, thermodynamics of metallic solutions, and phase equilibria in various ternary systems.Fisher R.M., R.A. Oriani, E.T. Turkdogan.
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Most stable binary chalcogenide glasses are compounds of a chalcogen and a group 14 or 15 element and may be formed in a wide range of atomic ratios. Ternary glasses are also known.M.C. Flemings, B. Ilschner, E.J. Kramer, S. Mahajan, K.H. Jurgen Buschow and R.W. Cahn, Encyclopedia of Materials: Science and Technology, Elsevier Science Ltd, 2001. Not all chalcogenide compositions exist in glassy form, though it is possible to find materials with which these non-glass-forming compositions can be alloyed in order to form a glass.
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This year the Automobile Club de l'Ouest (ACO) decreed that mudguards now had to be integral with the bodywork, unlike the pre-war style of cycle-type mudguards. This meant cars had proper sports-car bodies and were not just modified grand prix cars. After ongoing issues with the fuel used in the race, the ACO's ‘ternary’ fuel was made up of 75% petrol, 15% alcohol and 10% benzole. The minimum replenishment period for fuel, water and oil was extended from 25 laps to 28.
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ProStat is the sister software to PSI-Plot. The differences between the two software are generally in extent or depth of a tool class rather than presence or absence. ANOVA in PSI-Plot becomes ANOVA, ANCOVA and MANOVA in ProStat, while the range of plot types in ProStat is extended in PSI-Plot by the addition of options such as Pareto charts, Smith curves, ternary, vector, and column plots. FFT is available in both, but extended differently according to the emphases of the different target users.
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PSI-Plot is the sister software to ProStat. The differences between the two software are generally in extent or depth of a tool class rather than presence or absence. ANOVA in PSI-Plot becomes ANOVA, ANCOVA and MANOVA in ProStat, while the range of plot types in ProStat is extended in PSI-Plot by the addition of options such as Pareto charts, Smith curves, ternary, vector, and column plots. FFT is available in both, but extended differently according to the emphases of the different target users.
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Since TCRs interact better with Lck when they are binding to the MHC molecules that are binding to the co-receptors in a ternary complex, T cells that can interact with MHCs bound to by the co-receptors can activate the Lck kinase and receive a survival signal. Supporting this argument, genetically modified T cells without CD4 and CD8 co-receptors express MHC- independent TCRs. It follows that MHC restriction is imposed by CD4 and CD8 co-receptors during positive selection of T cell selection.
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It would count as a volcanic rock fragment in the Folk Classification/QFR classification regardless of where the microscope landed in the point count. The Gazzi-Dickinson method is a point-counting technique used in geology to statistically measure the components of a sedimentary rock, chiefly sandstone. The main focus (and most controversial) part of the technique is counting all sand-sized components as separate grains, regardless of what they are connected to. Gazzi-Dickinson point counting is used in the creation of ternary diagrams, such as QFL diagrams.
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Through the third variation, each appearance of the ternary theme with winds appearing only in the middle section framed by muted strings in the outer sections. In the second outer section, the theme in two voices is inverted. Also, through each of the first three variations the surface rhythms are accelerating from eighth notes to sixteenth notes to triplet-sixteenths to thirty-seconds. The fourth variation varies from this pattern in that it is fully scored for the entire variation and serves as a recapitulation for the movement.
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1992, 618, 35. In going from the binary to ternary systems, some of the transition metal atoms are substituted by a third element, which can be an alkali metal, alkaline earth metal, rare-earth element, main group element, or another transition metal. This leads to an empirical formula of the form A23−xBxC6. Materials of this kind continue to be studied for potentially interesting magnetic and physical properties.Eriksson, T.; Vennström, M.; Ronneteg, S.; Andersson, Y.; Nordblad, P. Complex magnetic properties of Mn3Ni20P6 and ferromagnetic structure of the new isostructural compound Mn3Pd20P6.
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In this and related NiAs-type materials, lithium intercalation occurs through an insertion process to fill the two crystallographic vacancies in the lattice, at the same time as the 0.2 extra coppers are displaced to the grain boundaries. Efforts to charge compensate the main group metal lattice to remove the excess copper have had limited success. Although significant retention of structure is noted down to the ternary lithium compound Li2CuSn, over discharging the material results in disproportionation with formation of Li22Sn5 and elemental copper. This complete lithiation is accompanied by volume expansion of approximately 250%.
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DECR is one of three auxiliary enzymes involved in a rate-limiting step of unsaturated fatty acid oxidation in mitochondria. In particular, this enzyme contributes to breaking the double bonds at all even-numbered positions, and some double bonds at odd-numbered position. The structure of the ternary complex of pDCR (peroxisomal 2,4-dienoyl CoA reductases) with NADP and its substrate provides essential and unique insights into the mechanism of catalysis. Unlike other members belonging to the SDR family, catalysis by pDCR does not involve a tyrosine- serine pair.
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In compound (alloy) semiconductors, which many thermoelectric materials are, scattering caused by the perturbation of crystal potential due to the random positioning of substituting atom species in a relevant sublattice is known as alloy scattering. This can only happen in ternary or higher alloys as their crystal structure forms by randomly replacing some atoms in one of the sublattices (sublattice) of the crystal structure. Generally, this phenomenon is quite weak but in certain materials or circumstances, it can become dominant effect limiting conductivity. In bulk materials, interface scattering is usually ignored.
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Following this outburst, the B section quietly ends in C minor a grace-note melody identical in contour to a figure from the theme of the Andantino (2–1–7–1–3–1), before modulating back to the movement's tonic. C major returns in the concluding A section, this time more tonally integrated into its A-major surroundings, by modulatory sequences. The ternary form trio in D major uses hand crossing to add melodic accompaniment to the chordal theme, and is rhythmically and harmonically based on the opening of the Allegro.
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A Mal'tsev operation m is a ternary operation that satisfies m(x,y,y) = m(y,y,x) = x. An example of a Mal'tsev operation is the Minority operation given in the modern, algebraic formulation of Schaefer's dichotomy theorem above. Thus, when Γ has the Minority operation as a polymorphism, it is not only possible to decide CSP(Γ) in polynomial time, but to compute #CSP(Γ) in polynomial time. There are a total of 4 Mal'tsev operations on Boolean variables, determined by the values of m(T,F,T) and m(F,T,F).
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One of the subunits that exhibits the TPR motif, CDC27 has been identified to interact with mitotic checkpoint proteins such as Mad2, p55CDC and BUBR1, suggesting that it may have involvement in timing of M phase."Entrez Gene: CDC27 cell division cycle 27 homolog (S. cerevisiae)". Evidence shows that CDC27 is involved in a ternary complex with SMAD2/3 and Cdh1, which is created in response to TGFβ signalling. Because of its interaction with Cdh1 in particular, it has a potential role in determining affinity between APC and its activators Cdc20 and Cdh1.
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Both spectroscopic studies of adrenodoxin binding to P450scc and kinetic studies in the presence of varying concentrations of adrenodoxin reductase demonstrated that the reductase competes with P450scc for binding to adrenodoxin. These results demonstrated that the formation of a functional ternary complex is not possible. From these studies, it was concluded that the binding sites of adrenodoxin to its reductase and to P450 are overlapping and, as a consequence, adrenodoxin functions as a mobile electron shuttle between reductase and P450. These conclusions have been confirmed by structural analysis of adrenodoxin and P450 complex.
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The second, slow movement is in ternary (ABA) form with a coda . The trombone plays an especially prominent role in this movement, a choice of instrument unusual for Sessions The finale, which continues without a break from the slow movement, is at least superficially a rondo . In this movement Sessions uses meter and tempo as bases simultaneously to mark and to blur formal articulations. It is the most difficult movement of the symphony to grasp formally, largely because of the constantly fluctuating tempos, which "produce a musical vertigo typical of Sessions's late music" .
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A new format of the TOPIK took effect from the 35th TOPIK test, held on 20 July 2014. Instead of the original ternary (Beginner, Intermediate and Advanced) classification, there are now only two test levels – TOPIK I and TOPIK II. TOPIK I has sub- levels 1 and 2, whereas TOPIK II has four sub-levels from 3 to 6. Another important change is that now the TOPIK I has only two sections – Reading and Listening, instead of four sections in the old format. TOPIK II has three sections – Reading, Listening and Writing.
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Like most of Villa-Lobos's works in the medium, the quartet consists of four movements: #Allegro non troppo #Scherzo (Vivace) #Adagio #Allegro vivace All four movements of this quartet are in ternary, ABA form . In the first movement, the return of the A section is restricted to its first half, the remainder being replaced with a ten-bar coda . The second movement is a scherzo, concluding with a coda made from material taken from the central, B section . The third, slow movement exhibits subtle features of modinha rhythms in 6/4 time .
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Song structure is the arrangement of a song,5 Quick Steps to Becoming a Music Producer: A music producer's voyage and is a part of the songwriting process. It is typically sectional, which uses repeating forms in songs. Common forms include bar form, 32-bar form, verse–chorus form, ternary form, strophic form, and the 12-bar blues. Popular music songs traditionally use the same music for each verse or stanza of lyrics (as opposed to songs that are "through- composed"—an approach used in classical music art songs).
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In this state, the enzyme active site is in a ternary catechol oxidase–O22−–catechol complex. Two electrons are transferred from the substrate to the dioxygen, followed by cleavage of the O–O bond. Water is released, and the second o-quinone product is formed together with the restoration of the initial Cu(II)-Cu(II) state to complete the catalytic cycle. This proposed catalytic cycle is supported by the experimental observation that stoichiometric amounts of o-quinone form after catechol addition to the enzyme, even when dioxygen is absent.
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Rubidium silver iodide is a ternary inorganic compound with the formula RbAg4I5. Its conductivity involves the movement of silver ions within the crystal lattice. It was discovered while searching for chemicals which had the ionic conductivity properties of alpha-phase silver iodide at temperatures below 146 °C for AgI. RbAg4I5 can be formed by melting together or grinding together stoichiometric quantities of rubidium iodide and silver(I) iodide. The reported conductivity is 25 siemens per metre (that is a 1×1×10 mm bar would have a resistance of 400 ohms along the long axis).
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TWIP steels usually contain large concentrations of Mn because it is crucial to preserve the austenitic structure based on the ternary system of Fe-Mn-Al Sato K, Tanaka K & Inoue, Determination of the a/g Equilibrium in the Iron Rich Portion of the Fe-Mn-Al System, ISIJ International, Vol. 29 (1989), pp. 788-792. and control Stacking Fault Energy (SFE) of the Iron-based alloys.P.Y. Volosevich , V.N. Grindnev and Y.N. Petrov, Manganese Influence on Stacking-Fault Energy in Iron-Manganese Alloys, Physics of Metals and Metallography, Vol.
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In conventional alloy design, one primary element such as iron, copper, or aluminum is chosen for its properties. Then, small amounts of additional elements are added to improve or add properties. Even among binary alloy systems, there are few common cases of both elements being used in nearly-equal proportions such as Pb-Sn solders. Therefore, much is known from experimental results about phases near the edges of binary phase diagrams and the corners of ternary phase diagrams and much less is known about phases near the centers.
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Serum response factor is a member of the MADS (MCM1, Agamous, Deficiens, and SRF) box superfamily of transcription factors. This protein binds to the serum response element (SRE) in the promoter region of target genes. This protein regulates the activity of many immediate early genes, for example c-fos, and thereby participates in cell cycle regulation, apoptosis, cell growth, and cell differentiation. This gene is the downstream target of many pathways; for example, the mitogen-activated protein kinase pathway (MAPK) that acts through the ternary complex factors (TCFs).
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A material that could be operated at room temperature was clearly needed. In 1966, Joel E. Goldmacher and Joseph A. Castellano, research chemists in Heilmeier group at RCA, discovered that mixtures made exclusively of nematic compounds that differed only in the number of carbon atoms in the terminal side chains could yield room-temperature nematic liquid crystals. A ternary mixture of Schiff base compounds resulted in a material that had a nematic range of 22–105 °C. Operation at room temperature enabled the first practical display device to be made.
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The second theme This nocturne has a rhythmic freedom that came to characterize Chopin's later work. The left hand has an unbroken sequence of eighth notes in simple arpeggios throughout the entire piece, while the right hand moves with freedom, occasionally in patterns of seven, eleven, twenty, and twenty-two in the form of polyrhythms. The piece is 85 measures long and in 6/4 meter. It is written in ternary form; after the primary theme, the secondary theme starts in measure 19, followed by a modified version of the primary theme in measure 70.
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Marker recognition leads to the engulfment of apoptotic cells by phagocytosis. On a molecular level, recognition of the cell-surface markers leads to the translation of the CED-12 protein in the cytoplasm of the engulfing cell, which then gets localized to the cell membrane. CED-12 binds CED-2 (C. elegans homolog to CrkII in mammals), followed by CED-5 (C. elegans homolog for DOCK180 in mammals) and forms a ternary structure. Transmembrane CED-1 is an example of the cell-surface receptor on the engulfing cell.
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In days of petrol rationing, there was considerable interest in the Index of Performance - the measure of cars making an improvement on its nominal assigned distance, based on engine size. Entrants had to choose to run on either gasoline (68-Octane), diesel or ‘’ternary’’ fuel (a blend of 60% gasoline, 25% ethanol, 15% benzole). All fuel was supplied by the ACO. Fuel, oil and water could only be topped up after 25 laps had been run, and ACO inspectors sealed the radiator and oil-caps after each refill.
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The Bionic Leaf is an artificial leaf that interfaces a triple-junction Si wafer with amorphous silicon photovoltaic with hydrogen- and oxygen-evolving catalysts made from a ternary alloy, nickel-molybdenum-zinc (NiMoZn) and a cobalt–phosphate cluster (Co-OEC). The Co-OEC is able to operate in natural water at room temperature. Accordingly, the Bionic Leaf can be immersed in water and when held up to sunlight, it can effect direct solar energy conversion via water-splitting. The Bionic Leaf, by virtue of the Co-OEC, also exhibits self-assembling and self-healing properties.
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ETS domain-containing protein Elk-3 is a protein that in humans is encoded by the ELK3 gene. The protein encoded by this gene is a member of the ETS-domain transcription factor family and the ternary complex factor (TCF) subfamily. Proteins in this subfamily regulate transcription when recruited by serum response factor to bind to serum response elements. This protein is activated by signal-induced phosphorylation; studies in rodents suggest that it is a transcriptional inhibitor in the absence of Ras, but activates transcription when Ras is present.
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If the vocal melody remains the same but the accompaniment changes under it for each verse, the piece is called a "modified strophic" song. In contrast, songs in which "each section of the text receives fresh music" are called through-composed. Most through-composed works have some repetition of musical material in them. Many art songs use some version of the ABA form (also known as "song form" or "ternary form"), with a beginning musical section, a contrasting middle section, and a return to the first section's music.
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Eukaryotic translation initiation factor-3 (eIF3), the largest of the eIFs, is a multiprotein complex composed of at least ten nonidentical subunits. The complex binds to the 40S ribosome and helps maintain the 40S and 60S ribosomal subunits in a dissociated state. It is also thought to play a role in the formation of the 40S initiation complex by interacting with the ternary complex of eIF2/GTP/methionyl-tRNA, and by promoting mRNA binding. The protein encoded by this gene is the major RNA binding subunit of the eIF3 complex.
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The generalized transport reaction usually catalyzed by the members of this family is: solute (out) + nNa+ (out) → solute (in) + nNa+ (in). An ordered binding model of sodium/substrate transport suggests that sodium binds to the empty transporter first, thereby inducing a conformational alteration which increases the affinity of the transporter for the solute. The formation of the ternary complex induces another structural change that exposes sodium and substrate to the other site of the membrane. Substrate and sodium are released, and the empty transporter re-orientates in the membrane, allowing the cycle to start again.
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The relative amounts of these three components can be represented in a ternary phase diagram. Gibbs phase diagrams can be used to show the influence of changes in the volume fractions of the different phases on the phase behavior of the system. The three components composing the system are each found at an apex of the triangle, where their corresponding volume fraction is 100%. Moving away from that corner reduces the volume fraction of that specific component and increases the volume fraction of one or both of the two other components.
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The first prelude, in B-flat major, begins with a five-note blues motif; virtually all the melodic material in the piece is based on this theme. Syncopated rhythms based on the Brazilian baião and chords containing flattened sevenths occur throughout; these give the piece a strong jazz feel. Although these sounds are far from adventurous by modern standards, to the audiences of the late 1920s they were almost unheard of. Structurally, the piece is in ternary form; however, the impression on the listener is that of a fantasia.
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Binary Goppa codes viewed as a special case of Goppa codes have the interesting property that they correct full \deg(g) errors, while only \deg(g)/2 errors in ternary and all other cases. Asymptotically, this error correcting capability meets the famous Gilbert–Varshamov bound. Because of the high error correction capacity compared to code rate and form of parity-check matrix (which is usually hardly distinguishable from a random binary matrix of full rank), the binary Goppa codes are used in several post-quantum cryptosystems, notably McEliece cryptosystem and Niederreiter cryptosystem.
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On another page, the movement is started again, this time materializing into a complete movement that became the finale of the symphony (according to Newbould). The movement is unconventional, either as a scherzo or as a finale. What was intended as the trio of a scherzo in ternary form in the first draft, became an episode later, while the piece was reshaped into a rondo. The movement is riddled with counterpoint (canons, invertible counterpoint, fugato, augmentation), and the two main themes (the original "scherzo" and "trio" themes) are superimposed at the end of the symphony.
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Other considerations enter the choice of a code. For example, hexagon packing into the constraint of a rectangular box will leave empty space at the corners. As the dimensions get larger, the percentage of empty space grows smaller. But at certain dimensions, the packing uses all the space and these codes are the so-called "perfect" codes. The only nontrivial and useful perfect codes are the distance-3 Hamming codes with parameters satisfying (2r – 1, 2r – 1 – r, 3), and the [23,12,7] binary and [11,6,5] ternary Golay codes.
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Protactinium(III) iodide was obtained by heating protactinium(V) iodide in vacuum. As with oxides, protactinium forms mixed halides with alkali metals. Among those, most remarkable is Na3PaF8 where protactinium ion is symmetrically surrounded by 8 F− ions which form a nearly perfect cube. More complex protactinium fluorides are also known such as Pa2F9Greenwood, p. 1271 and ternary fluorides of the types MPaF6 (M = Li, Na, K, Rb, Cs or NH4), M2PaF7 (M = K, Rb, Cs or NH4) and M3PaF8 (M = Li, Na, Rb, Cs), all being white crystalline solids.
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This stabilization technique allowed the synthesis of some other boron-rich rare- earth borides. Albert and Hillebrecht reviewed binary and selected ternary boron compounds containing main-group elements, namely, borides of the alkali and alkaline-earth metals, aluminum borides and compounds of boron and the nonmetals C, Si, Ge, N, P, As, O, S and Se. They, however, excluded the described here icosahedron-based rare-earth borides. Note that rare-earth elements have d- and f-electrons that complicates chemical and physical properties of their borides. Werheit et al.
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The work is in standard four movement form and scored for two flutes, two oboes, two bassoons, two horns, two trumpets, timpani and strings. #Adagio, – Allegro, #Andante, in G major #Menuetto: Allegretto, #Finale: Vivace, The first movement is in sonata form. Following a slow introduction, the first theme of the exposition is actually two overlapping themes, a short–short–short–long repeated-note theme in the first violins over a falling motif in the middle strings and bassoons. Following a brief transitional section, the first theme returns giving the opening section a ternary structure.
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An alto aria, "" (It is well for you, you chosen souls, whom God has designated for his dwelling), conveys images of contentment by incorporating a lilting berceuse-like rhythm, with an obbligato melody played by muted violins and flutes in octaves and tenths. It is accompanied by a tonic pedal in the continuo. The aria is in adapted ternary form. The pastoral character suited the original text, "Wohl euch, ihr auserwählten Schafe" (It is well for you, you chosen sheep), which alludes to the bridegroom, a pastor or "shepherd of souls".
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Saddle azeotropic system Methanol/Acetone/Chloroform calculated with mod. UNIFAC The rules for positive and negative azeotropes apply to all the examples discussed so far, but there are some examples that don't fit into the categories of positive or negative azeotropes. The best known of these is the ternary azeotrope formed by 30% acetone, 47% chloroform, and 23% methanol, which boils at 57.5 °C. Each pair of these constituents forms a binary azeotrope, but chloroform/methanol and acetone/methanol both form positive azeotropes while chloroform/acetone forms a negative azeotrope.
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Residue Curve Principle A residue curve describes the change of the composition of the liquid phase of a chemical mixture during continuous evaporation at the condition of vapor–liquid equilibrium (open distillation). Multiple residue curves for a single system are called residue curves map. Residue curves allow testing the feasibility of a separation of mixtures and therefore are a valuable tool in designing distillation processes. Residue curve maps are typically used for examining ternary mixtures which can't be easily separated by distillation because of azeotropic points or too small relative volatilities.
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A sign-to-sign transaction relating to an object is a transaction that involves three parties, or a relation that involves three roles. This is called a ternary or triadic relation in logic. Consequently, pragmatic theories of truth are largely expressed in terms of triadic truth predicates. The statement above tells us one more thing: Peirce, having started out in accord with Kant, is here giving notice that he is parting ways with the Kantian idea that the ultimate object of a representation is an unknowable thing-in-itself.
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Barsoum is Distinguished Professor in the Department of Materials Science and Engineering at Drexel University in Philadelphia, PA. He is a member of the American Ceramics Society and the World Academy of Ceramics. Barsoum is an internationally recognized leader in the area of MAX phases, which were first fabricated and fully characterized with Dr. Tamer El Raghy at Drexel University in 1995. They synthesized two families of ternary machinable carbides and nitrides, namely Ti³SiC² and the H-phases. Barsoum and his collaborators have published over 200 papers on MAX phases.
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I. Moderato C major, 4/4 time, sonata form Duration approximately 15-18 minutes II. Andante C minor, 6/8 time, five- part rondo form Duration approximately 10 minutes III. Menuetto: Allegretto - Trio A-flat major, 3/4 time, incomplete ternary form. Fragment (ends at measure 80 after the main theme returns in the B part of the menuetto) Very unusually, the opening theme is immediately repeated, slightly embellished, in A major, and the reprise also begins in this key. Presumably the minuet would have then returned to A-flat major.
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While in Vienna, Gómez also served as Permanent Representative of Colombia to the United Nations Office at Geneva. In 1996 Gómez was elected to the International Narcotics Control Board for a five-year term. Shortly after, on 29 May 1997 the Supreme Court of Justice of Colombia elected Gómez to serve as the 3rd Attorney General of Colombia to succeed Alfonso Valdivieso Sarmiento. Gómez was elected out of a ternary slate presented by President Ernesto Samper Pizano that also included the names of Saturia Esguerra Portocarrero and Manuel Santiago Urueta Ayola.
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In theory, it is possible to use other positions of the fingers to represent more than two states (0 and 1); for instance, a ternary numeral system (base 3) could be used by having a fully raised finger represent 2, fully lowered represent 0, and "curled" (half-lowered) represent 1. This would make it possible to count up to 59,048 (310−1) on two hands. In practice, however, many people will find it difficult to hold all fingers independently (especially the middle and ring fingers) in more than two distinct positions.
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This movement is in ternary form (ABA) with A being a scherzo in C minor (with a secondary theme in C major and E major) and B being a trio in C major. This movement shows the influence of Franz Schubert's String Quintet. Like Schubert's masterpiece, this movement is also in C minor/major, and ends in the same manner as Schubert's finale, with strong emphasis on the flat supertonic D, before the final tonic C.James Webster, "Schubert's sonata form and Brahms's first maturity (II)", 19th-Century Music 3(1), 1979, pp. 52–71.
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They can consist of binary or ternary mixtures of thallium, arsenic and sulfur. Zinc-silicoborate glasses can also be used for passivation of electronics; their coefficient of thermal expansion must match silicon (or the other semiconductors used) and they must not contain alkaline metals as those would migrate to the semiconductor and cause failures. The bonding between the glass or ceramics and the glass solder can be either covalent, or, more often, van der Waals. The seal can be leak-tight; glass soldering is frequently used in vacuum technology.
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The powers of three give the place values in the ternary numeral system. In graph theory, powers of three appear in the Moon–Moser bound on the number of maximal independent sets of an -vertex graph, and in the time analysis of the Bron–Kerbosch algorithm for finding these sets. Several important strongly regular graphs also have a number of vertices that is a power of three, including the Brouwer–Haemers graph (81 vertices), Berlekamp–van Lint–Seidel graph (243 vertices), and Games graph (729 vertices).For the Brouwer–Haemers and Games graphs, see .
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Chopin, Nocturne in B major, Op. 62, No. 1 350px One of his last works, the Nocturne in B major opens with what might be described as a bard's striking of the strings. After the simple introductory chords, a simple melody in B major emerges. At first, the action proceeds gently and smoothly (dolce, legato). But the song soon turns into declamation, led by a lofty, dramatic raised voice, and after a flashy scale in the right hand, Chopin leads us to the B section of this ternary formed (ABA) nocturne.
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In molecular biology, translation initiation factor IF-3 (gene infC) is one of the three factors required for the initiation of protein biosynthesis in bacteria. IF-3 is thought to function as a fidelity factor during the assembly of the ternary initiation complex which consists of the 30S ribosomal subunit, the initiator tRNA and the messenger RNA. IF-3 is a basic protein that binds to the 30S ribosomal subunit. The chloroplast homolog enhances the poly(A,U,G)-dependent binding of the initiator tRNA to its ribosomal 30s subunits.
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Polichinelle is both expressive and strong The fourth piece, called Polichinelle (Полишинель, Polishinyelʹ), is in an ambiguous key although often referred to as "in F minor" (the F minor triad has never been established throughout), and played Allegro vivace. It is a character piece, based on the Commedia dell'arte character Pulcinella (Polichinelle is the French translation of this word) from which Punch (from Punch and Judy) derives. It is in ternary form (ABA), beginning and ending with a fast section that gives way to a slower, lyrical melodious passage in the middle.
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Importantly, structural studies have not revealed differences in ternary complex structures with IFNAR and various type I IFN subtypes, despite differences in ligand affinities. The evolutionary conservation of type I IFN subtypes binding the same IFNAR receptor at the same site with differing affinities suggests that type I IFNs are nonredundant and potentially regulate different cellular responses. Efforts to engineer a more potent IFNα2 elicited a cellular response similar to IFNβ, suggesting that the affinity of type I IFNs for IFNAR has an important role in regulating the downstream response.
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Type I IFNs bind to IFNAR1 or IFNAR2, forming a binary complex. The binary complex further recruits the remaining IFNAR subunit, completing the ternary complex and activating downstream JAK/STAT signaling. IFN ligation to IFNAR brings the receptor associated kinases, JAK1 and Tyk2, into close proximity, resulting in kinase transphosphorylation and subsequent phosphorylation of tyrosines on IFNAR1 and IFNAR2. Phosphotyrosine residues on IFNAR1 and IFNAR2 recruit STAT proteins (classically STAT1, STAT2, or STAT3, although STAT4, STAT5, and STAT6 may play a role in certain cell types) via their SH2 domains.
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To allow for such inversion, the catalytic mechanism of PRK must not involve a phosphoryl-enzyme intermediate. Some studies suggest that both substrates (ATP and RuP) bind simultaneously to PRK and form a ternary complex. Others suggest that the substrate addition is sequential; the particular order by which substrates are added is still disputed, and may in fact, vary for different organisms. In addition to binding its substrates, PRK also requires ligation to divalent metal cations like Mg2+ or Mn2+ for activity; Hg2+ has been demonstrated to inactivate the enzyme.
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In the early 1950s, most computers were built for specific numerical processing tasks, and many machines used decimal numbers as their basic number system; that is, the mathematical functions of the machines worked in base-10 instead of base-2 as is common today. These were not merely binary coded decimal (BCD). Most machines had ten vacuum tubes per digit in each processor register. Some early Soviet computer designers implemented systems based on ternary logic; that is, a bit could have three states: +1, 0, or -1, corresponding to positive, zero, or negative voltage.
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She began as a teaching assistant before becoming an assistant lecturer and lecturer in the Faculty of the Sciences. She became a senior lecturer, professor and then tenured professor Faculty of Sciences and Techniques. Her specialisms were in crystallography, electro-magnetics, glasses, the silver-arsenic-selenium system, semi-conductors and ternary compounds. She was elected a fellow of the Third World Academy of Sciences (now known as The World Academy of Sciences, TWAS), Sub-Saharan Africa Region in 1987 and is one of only 88 fellows elected from that region (as of 2017).
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It is written in conventional ternary form. The main theme in the left hand is accompanied by syncopated chords in the right hand; it begins at measure 2 and ends at measure 6. A parallel period follows from measures 6–11, ending on an imperfect cadence. In measures 11–18, a sequential period that is based on the rhythm of the main theme follows. Soprano and bass track each other in this section: 300px Measures 11 and 12 The "B" section, from measures 18–34, employs sequential fragments of the "A" section.
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The Chaconne chromatique is related to the Renaissance and Baroque equivalent. This last movement takes up and amplifies the ternary form of the subject in the previous Lamento, with a theme (mm. 1–8) that is transformed repeatedly, altering the harmonic and chromatic identity from the second transformation into the other transformations. In particular, the fourth transformation is a progressive thickening of the musical texture, as the double stops are amplified to triple stops and quadruple stops, parallel to the intensification of the dynamics, similarly to what heard in Facsar.
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Day by day, he reproduces his actions and he is drawn into some of his secrets, not in theory, but practically, by experience."Pasternak, (1959), p. 142. According to Ivinskaya: While they were both collaborating on translating Rabindranath Tagore from Bengali into Russian, Pasternak advised Ivinskaya: "1) Bring out the theme of the poem, its subject matter, as clearly as possible; 2) tighten up the fluid, non-European form by rhyming internally, not at the end of the lines; 3) use loose, irregular meters, mostly ternary ones. You may allow yourself to use assonances.
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While working as a teacher, Benerito took night classes to earn her master's degree from Tulane University. In 1948 she received her doctorate degree from the University of Chicago, where she conducted physical chemical research under the direction of Thomas F. Young. Her Ph.D dissertation was titled "Activity Coefficients of HCl in Ternary Aqueous Solutions". She left her job as an assistant professor in Newcomb College in 1953 to work at the USDA Southern Regional Research Center of the US Department of Agriculture in New Orleans, where she spent most of her career.
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Table 2 from Noether's dissertation on invariant theory. This table collects 202 of the 331 invariants of ternary biquadratic forms. These forms are graded in two variables x and u. The horizontal direction of the table lists the invariants with increasing grades in x, while the vertical direction lists them with increasing grades in u. The ring of invariants is generated by 7 algebraically independent invariants of degrees 3, 6, 9, 12, 15, 18, 27 (discriminant) , together with 6 more invariants of degrees 9, 12, 15, 18, 21, 21, as conjectured by .
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In the first approach, researchers emulate the short, directional covalent carbon bonds of diamond by combining light elements like boron, carbon, nitrogen, and oxygen. This approach became popular in the late 1980s with the exploration of C3N4 and B-C-N ternary compounds. The second approach towards designing superhard materials incorporates these lighter elements (B, C, N, and O), but also introduces transition metals with high valence electron densities to provide high incompressibility. In this way, metals with high bulk moduli but low hardness are coordinated with small covalent-forming atoms to produce superhard materials.
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It is unclear whether the synthesis products are diamond-like solid solutions between carbon and boron nitride or just mechanical mixtures of highly dispersed diamond and c-BN. In 2001, a diamond- like-structured c-BC2N was synthesized at pressures >18 GPa and temperatures >2,200 K by a direct solid-state phase transition of graphite-like (BN)0.48C0.52. The reported Vickers and Knoop hardnesses were intermediate between diamond and c-BN, making the new phase the second hardest known material. Ternary B–C–N phases can also be made using shock-compression synthesis.
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Composites of MAX phases, an emerging class of ternary carbides or nitrides with aluminium or titanium alloys have been studied since 2006 as high-value materials exhibiting favourable properties of ceramics in terms of hardness and compressive strength alongside ductility and fracture toughness typically associated with metals. Such cermet materials, including aluminium-MAX phase composites, have potential applications in automotive and aerospace applications. Some types of cermets are also being considered for use as spacecraft shielding as they resist the high velocity impacts of micrometeoroids and orbital debris much more effectively than more traditional spacecraft materials such as aluminum and other metals.
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Britten's close friendship with Rostropovich inspired the Cello Sonata (1961) and three suites for solo cello (1964–71). String quartets featured throughout Britten's composing career, from a student work in 1928 to his Third String Quartet (1975). The Second Quartet, from 1945, was written in homage to Purcell; Mason considered it Britten's most important instrumental work to that date. Referring to this work, Keller writes of the ease with which Britten, relatively early in his compositional career, solves "the modern sonata problem – the achievement of symmetry and unity within an extended ternary circle based on more than one subject".
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Sergei Rachmaninoff's Prelude in C-sharp minor (), Op. 3, No. 2, is one of the composer's most famous compositions. Part of a set of five piano pieces entitled Morceaux de fantaisie, it is a 62-bar prelude in ternary (ABA) form. It is also known as The Bells of Moscow since the introduction seems to reproduce the Kremlin's most solemn carillon chimes. Its first performance was by the composer on 26 September 1892, at a festival called the Moscow Electrical Exhibition. After this première, a review of the concert singled out the Prelude, noting that it had “aroused enthusiasm”.
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He investigated ternary fission, a comparatively rare type of nuclear fission in which the nucleus breaks into three pieces instead of two, and the photodisintegration of light nuclei by gamma rays. He was also a consultant to the Atomic Weapons Research Establishment (AWRE) at Aldermaston that designed and developed Britain's first nuclear weapons. In August 1950, Titterton accepted an offer from Oliphant to become the foundation Chair of Nuclear Physics at the Australian National University (ANU) in Canberra. Over the next thirty years, Titterton held high positions on various science, defence and nuclear-related committees, institutes and councils in Australia.
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Unicap was founded on September 27, 1951, and recognized by the Federal Government (Decree 30,417) on January 18, 1952. It grew out of the first Catholic school in the region, Manoel da Nóbrega College of Philosophy, Sciences, and Letters, founded by the Jesuits of the northeast region in 1943. In its development, the University faced incorporation and aggregation or creation of Colleges, Institutes, or Schools, to implement in 1974 the university reform law, adopting the model homogeneous ternary Rectory, Centres, and Departments. Unicap today includes an educational complex with 15,000 students from first- degree courses to graduate school.
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Munc-18 binds syntaxin and forms a syntaxin/munc-18 complex which is thought to precede and/or regulate vesicle priming, a process mediated by VAMP, SNAP-25 and syntaxin. Munc18-1, a member of the SM family, has multiple roles in exocytosis. It directly promotes syntaxin stability and either controls the spatially correct assembly of core complexes for SNARE-dependent fusion, or acts as a direct component of the fusion machinery through the interaction with SNARE core. Munc18a, which binds specifically to the N-terminal of syntaxin, causes a conformation change, activating syntaxin, which in turn connects to the ternary-SNARE complex.
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Si- Sn alloys have the lowest conductivity (3 W/mK) of all the bulk alloys among Si-Ge, Ge-Sn, and Si-Ge-Sn; less than half that of Si-Ge which has been extensively studied, attributed to the larger difference in mass between the two constituents. In addition, thin films offer an additional reduction in thermal conductivity, reaching around 1 W/mK in 20-nm-thick Si-Sn, Ge-Sn, and ternary Si-Ge-Sn films, which is near the conductivity of amorphous SiO2. Group-IV alloys containing Sn have the potential for high-efficiency thermoelectric energy conversion.
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For example, :\forall x \forall y (P(f(x)) \rightarrow eg (P(x) \rightarrow Q(f(y),x,z))) is a formula, if f is a unary function symbol, P a unary predicate symbol, and Q a ternary predicate symbol. On the other hand, \forall x\, x \rightarrow is not a formula, although it is a string of symbols from the alphabet. The role of the parentheses in the definition is to ensure that any formula can only be obtained in one way—by following the inductive definition (i.e., there is a unique parse tree for each formula).
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James Webster, "Schubert's Sonata Forms and Brahms's First Maturity", part I, p. 24. Despite this traditional approach, both exposition themes are built in an innovative ternary form, and in each resulting 'B' section a highly chromatic development-like section based on the exposition's second phrase modulates through the circle of fourths, only to return to the tonic. This novel structure creates a sense of harmonic movement without actually committing to a thematic modulation,Charles Rosen, "Schubert and the Example of Mozart", p. 19. and is one of the techniques Schubert uses to achieve a sense of scale in the movement.
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Schubert's last sonatas mark a distinct change of compositional style from his earlier piano sonatas, with several important differences. The typical movement length has increased, due to the use of long, lyrical, fully rounded-off, ternary-form themes, the insertion of development-like passages within expositions, and the lengthening of the development section proper.Hanna, A Statistical Analysis, pp. 94–5. Texturally, the orchestral grandeur of the middle-period sonatas gives way to a more intimate writing that resembles a string ensemble.Brendel, "Schubert's Piano Sonatas, 1822–1828", p. 66; David Montgomery, Franz Schubert's Music in Performance, pp. 8–10.
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The collection "Telegraph technique" includes all types of telegraph and facsimile techniques since the creation of the first electromagnetic machine by P.L. Schilling in 1832 and until 1980-s. The collection of computing equipment is the most comprehensive display in Russia and includes rare copyrights devices, such as automated abacus by Viktor Bunyakovsky,Viktor Bunyakovsky one of the first models of Odner's adding machine, the only surviving copy of the domestic computer "Ural", hydraulic integrator by Vladimir Lukyanov,In 1936 Soviet scientist Lukyanov built an analog water computer the world's only computer based on ternary logic, "Syetun" and many other rarities.
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The tempo marking may be translated "slowly, very simple and songlike." Beethoven's markings indicate that he wished variations 2–4 to be played to the same basic (ternary) pulse as the theme, first variation and subsequent sections (that is, each of the three intra-bar groupings move at the same speed regardless of time signature; Beethoven uses the direction "L'istesso tempo" at each change of time signature).Tovey, Donald Francis, Annotations to the Beethoven Piano Sonatas. London: Associated Board of the Royal Schools of Music, 1932 The simplified time signatures ( for and for ; both implying unmarked triplets) support this.
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Sulf1/2 expression resulted in more ECM (collagen fibril deposition) than control tumors, which may be another mechanism by which Sulfs slow down tumor growth. The authors also find Sulf1/2 specifically acts on HS-GAGs on the surface of tumor cells and not in the surrounding stroma, which consequently acts to block FGF-2/FGFR/HS ternary complex formation and inhibition of a downstream signal. Squamous cell head and neck carcinoma (SCCHN) has three cell lines lacking Sulf1 expression. Transfected-in Sulf1 expression reduces FGF-2 and HGF-mediated phosphorylation and activation of ERK and phosphatidylinositol 3'-kinase (PI3K)/Akt pathways.
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Curium readily reacts with oxygen forming mostly Cm2O3 and CmO2 oxides, but the divalent oxide CmO is also known.Holleman, p. 1972 Black CmO2 can be obtained by burning curium oxalate (), nitrate (), or hydroxide in pure oxygen.Greenwood, p. 1268 Upon heating to 600–650 °C in vacuum (about 0.01 Pa), it transforms into the whitish Cm2O3: : 4CmO2 ->[\Delta T] 2Cm2O3 + O2. Alternatively, Cm2O3 can be obtained by reducing CmO2 with molecular hydrogen: : 2CmO2 + H2 -> Cm2O3 + H2O Furthermore, a number of ternary oxides of the type M(II)CmO3 are known, where M stands for a divalent metal, such as barium.
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In the context of staged works and concert works, arias evolved from simple melodies into structured forms. In such works, the sung, melodic, and structured aria became differentiated from the more speech-like (parlando) recitative – broadly, the latter tended to carry the story-line, the former carried more emotional freight and became an opportunity for singers to display their vocal talent. The aria evolved typically in one of two forms. Binary form arias were in two sections (A–B); arias in ternary form (A–B–A) were known as da capo arias (literally 'from the head', i.e.
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By the early 18th century, composers such as Alessandro Scarlatti had established the aria form, and especially its da capo version with ritornelli, as the key element of opera seria. "It offered balance and continuity, and yet gave scope for contrast. [...] The very regularity of its conventional features enabled deviations from the normal to be exploited with telling effect."Lewis (1959), 96 In the early years of the century, arias in the Italian style began to take over in French opera, giving rise eventually to the French genre of ariette, normally in a relatively simple ternary form.Anthony (1991) 213–5.
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The idea of a line was abstracted to a ternary relation determined by collinearity (points lying on a single line). According to Wilhelm BlaschkeFelix Klein (1926, 1949) Vorlesungen über Höhere Geometrie, edited by Blaschke, Seite 138 it was August Möbius that first abstracted this essence of geometrical transformation: :What do our geometric transformations mean now? Möbius threw out and fielded this question already in his Barycentric Calculus (1827). There he spoke not of transformations but of permutations [Verwandtschaften], when he said two elements drawn from a domain were permuted when they were interchanged by an arbitrary equation.
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The revival of motor-racing post-war was now in full swing – the FIA had published its new rules for single-seater racing and inaugurated the new Formula 1 World Championship. Its Appendix C addressed two-seater sportscar racing, giving some definition for racing prototypes. The same categories (based on engine capacity) were kept, although the Automobile Club de l'Ouest (ACO) added an extra class at the top end – for over 5.0L up to 8.0L. After last year’s issues with the hybrid ‘ternary’ fuel, the ACO now supplied 80-octane gasoline as standard, thereby removing the need.
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Every CPU represents numerical values in a specific way. For example, some early digital computers represented numbers as familiar decimal (base 10) numeral system values, and others have employed more unusual representations such as ternary (base three). Nearly all modern CPUs represent numbers in binary form, with each digit being represented by some two-valued physical quantity such as a "high" or "low" voltage. A six-bit word containing the binary encoded representation of decimal value 40. Most modern CPUs employ word sizes that are a power of two, for example 8, 16, 32 or 64 bits.
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The third movement is Agnus Dei, normally found towards the end of a Requiem, and requesting the Lamb of God to grant mercy and eternal rest. It is the first movement to feature a soprano soloist, for a specific human touch. The fourth movement, Sanctus, which is often found in the center of a Requiem setting, is in ternary form. The text "Pleni sunt caeli et terra gloria tua" (Heaven and Earth are full of your glory) is set to music inspired by images taken from the Hubble telescope, and the imagination of a city full of life.
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116 is a noncototient, meaning that there is no solution to the equation , where stands for Euler's totient function.. 116! + 1 is a factorial prime.. There are 116 ternary Lyndon words of length six, and 116 irreducible polynomials of degree six over a three-element field, which form the basis of a free Lie algebra of dimension 116.. There are 116 different ways of partitioning the numbers from 1 through 5 into subsets in such a way that, for every k, the union of the first k subsets is a consecutive sequence of integers.. There are 116 different 6×6 Costas arrays..
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The double cover 2.M12 is the automorphism group of the extended ternary Golay code, a dimension 6 length 12 code over the field of order 3 of minimum weight 6. In particular the double cover has an irreducible 6-dimensional representation over the field of 3 elements. The double cover 2.M12 is the automorphism group of any 12×12 Hadamard matrix. M12 centralizes an element of order 11 in the monster group, as a result of which it acts naturally on a vertex algebra over the field with 11 elements, given as the Tate cohomology of the monster vertex algebra.
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All the modes adhere to a ternary principle of metre, meaning that each mode would have a number of beat subdivisions divisible by the number 3. Some medieval writers explained this as veneration for the perfection of the Holy Trinity, but it appears that this was an explanation made after the event, rather than a cause (; ). Less speculatively, the flexibility of rhythm possible within the system allows for variety and avoids monotony. Notes could be broken down into shorter units (called fractio modi by Anonymous IV) or two rhythmic units of the same mode could be combined into one (extensio modi) .
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In contrast, eukaryotic RNA polymerase I and II as well as single-subunit RNA polymerases of bacteriophage T7 and SP6 are relatively insensitive to the compound. TGT binds in the RNAP active site and inhibits initiation and elongation phases of transcription as well as pyrophosphorolysis of the nascent RNA. However, the detailed mechanism of inhibition remains a subject of heated debate. It has been suggested that TGT forms a ternary RNAP-NTP-TGT complex and inhibits phosphodiester bond synthesis either by binding an inhibitory magnesium ion or by trapping a flexible active site domain in an inactive conformation.
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The symphony is in four movements: # Allegro di molto (C minor, , sonata form. ) # Andante (E major, , sonata form.) # Menuetto: Allegro molto (C minor, , compound ternary form, with a trio firstly in A major and later in C minor. Compared to the standard minuet & trio form, it is slightly different as there is an extra link to the main minuet after the binary form trio section.) # Allegro con fuoco (C minor, , sonata form, ending in C major. The primary theme of which bears a striking resemblance to the final movement of Wolfgang Amadeus Mozart's Symphony No. 40.) A typical performance lasts half an hour.
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By examining the spectrum of Polaris A, it was also discovered in 1929 that it was a very close binary, with the secondary being a dwarf (variously α UMi P, α UMi an or α UMi Ab), which had been theorized in earlier observations (Moore, J. H. and Kholodovsky, E. A.). In January 2006, NASA released images, from the Hubble telescope, that showed the three members of the Polaris ternary system. There were once thought to be two more distant components—Polaris C and Polaris D—but these have been shown not to be physically associated with the Polaris system.
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TERNAC is an emulation written in FORTRAN of a ternary computer on another binary machine, a Burroughs B1700. It was implemented in 1973 at State University of New York, Buffalo (SUNY Buffalo). The implementation provided both fixed-point and floating-point capability; fixed-point words were 24 trits in length and the floating-point words had 42 trits for mantissa and 6 trits for exponent. TERNAC was intended primarily to discover if the implementation of a nonbinary structure on a binary computer was feasible, and to ascertain the cost in memory storage and time for such an implementation.
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While Ste5 actually forms a ternary complex with Ste7 and Fus3 to promote phosphorylation of the latter, known mammalian scaffold proteins appear to work by very different mechanisms. For example, KSR1 and KSR2 are actually MAP3 kinases and related to the Raf proteins. Although KSRs alone display negligible MAP3 kinase activity, KSR proteins can still participate in the activation of Raf kinases by forming side-to-side heterodimers with them, providing an allosteric pair to turn on each enzymes. JIPs on the other hand, are apparently transport proteins, responsible for enrichment of MAPK signaling components in certain compartments of polarized cells.
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With the help of this method, Vinogradov tackled questions such as the ternary Goldbach problem in 1937 (using Vinogradov's theorem), and the zero-free region for the Riemann zeta function. His own use of it was inimitable; in terms of later techniques, it is recognised as a prototype of the large sieve method in its application of bilinear forms, and also as an exploitation of combinatorial structure. In some cases his results resisted improvement for decades. He also used this technique on the Dirichlet divisor problem, allowing him to estimate the number of integer points under an arbitrary curve.
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The coda involves the statement of the main theme in the tonic that the listener might have been expecting, and it does so after two measures of pointed silence. The form of the second movement, an Andante in B-flat major, is indefinable. The movement involves elements of a theme and variations, but also has characteristics of both a ternary form movement and a rondo. Unlike a conventional theme and variation movement, the minor mode variation is placed immediately after the statement of the theme; normally, the minor mode theme would be held back for later in the movement.
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The symphony is in four movements: #Adagio, #Presto, #Menuet e Trio, #Finale: Presto, This slow- fast-slow-fast sequence of tempos corresponds to the sonata da chiesa of the Baroque era, although the musical language of the piece is classical. As with other early Haydn symphonies that use this tempo scheme, all of the movements are in the same key. The first, second, and fourth movements are in sonata form and the third is the customary minuet and trio in ternary form. The first movement is the highlight of the symphony and features horns answered by cors anglais over a walking bass line.
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RoXaN is capable of interacting with NSP3 in vivo and during rotavirus infection. Domains of interaction correspond to the dimerization domain of NSP3 (amino acids 163 to 237) and the LD domain of RoXaN (amino acids 244 to 341). The interaction between NSP3 and RoXaN does not impair the interaction between NSP3 and eIF4G I, and a ternary complex made of NSP3, RoXaN, and eIF4G I can be detected in rotavirus-infected cells, implicating RoXaN in translation regulation. Expression of RoXaN was found to be correlated with a higher tumor grad in GIST (gastrointestinal stromal tumors).
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The biochemistry of methanogenesis involves the following coenzymes and cofactors: F420, coenzyme B, coenzyme M, methanofuran, and methanopterin. The mechanism for the conversion of bond into methane involves a ternary complex of methyl coenzyme M and coenzyme B fit into a channel terminated by the axial site on nickel of the cofactor F430. One proposed mechanism invokes electron transfer from Ni(I) (to give Ni(II)), which initiates formation of . Coupling of the coenzyme M thiyl radical (RS.) with HS coenzyme B releases a proton and re-reduces Ni(II) by one-electron, regenerating Ni(I).
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In this case they can be absorbed by a few centimeters of air, or by the skin. More powerful, long range alpha particles from ternary fission are three times as energetic, and penetrate proportionately farther in air. The helium nuclei that form 10–12% of cosmic rays, are also usually of much higher energy than those produced by nuclear decay processes, and when encountered in space, are thus able to traverse the human body and dense shielding. However, this type of radiation is significantly attenuated by the Earth's atmosphere, which is a radiation shield equivalent to about 10 meters of water.
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Another visible ternary is Alpha Centauri, in the southern constellation of Centaurus, which contains the fourth-brightest star in the night sky, with an apparent visual magnitude of −0.01. This system also underscores the fact that no search for habitable planets is complete if binaries are discounted. Alpha Centauri A and B have an 11 AU distance at closest approach, and both should have stable habitable zones. There are also examples of systems beyond ternaries: Castor is a sextuple star system, which is the second-brightest star in the constellation Gemini and one of the brightest stars in the nighttime sky.
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Many character pieces are composed in ternary form, but that form is not universal in the genre. A common feature is a title expressive of the character intended, such as Stephen Heller's Voyage autour de ma chambre ("Voyage around my room"), an early example of the genre, or Bruckner's Abendklänge ("Evening harmonies"). Other character pieces have titles suggesting brevity and singularity of concept, such as Beethoven's Bagatelles, or Debussy's Préludes, or casual construction: the title Impromptu is common. Many 19th-century nocturnes and intermezzi are character pieces as well, including those of Chopin and Brahms, respectively.
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The concerto features simple ABA form in the first and second movements, but suggests a more complex rondo form with intervening episodes in the finale. The concerto is in three movements as follows: #Allegro ma non troppo – in D minor. Poulenc chooses to bypass the conventions of sonata allegro in the opening movement in favor of ternary form, with a slower middle section. If this first movement is meant to evoke Mozart, it is the blithe composer of the delightful Divertimenti and Serenades. The general effect is “gay and direct,” words Poulenc often used to describe his own music.
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The opening bars of No. 1 in C minor The Nocturne in C-sharp minor is initially marked larghetto and is in 4/4 meter, written as common time. It transitions to più mosso (more movement) in measure 29, along with a time signature change to 3/4 meter. The piece returns to its original tempo and meter in measure 84, and ends in an adagio beginning in measure 99. The piece is 101 measures long and written in ternary form with coda; the primary theme is introduced, followed by a secondary theme and a repetition of the first.
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In particular, a note could have the length of either two or three units of the next smaller order, whereas in modern notation these relations are invariably binary. Whether a note was to be read as ternary ("perfect") or binary ("imperfect") was a matter partly of context rules and partly of a system of mensuration signs comparable to modern time signatures. There was also a complex system of temporarily shifting note values by proportion factors like 2:1 or 3:2. Mensural notation used no bar lines, and it sometimes employed special connected note forms (ligatures) inherited from earlier medieval notation.
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PIKfyve physically associates with its regulator ArPIKfyve, a protein encoded by the human gene VAC14, and the Sac1 domain-containing PtdIns(3,5)P2 5-phosphatase Sac3, encoded by FIG4, to form a stable ternary heterooligomeric complex that is scaffolded by ArPIKfyve homooligomeric interactions. The presence of two enzymes with opposing activities for PtdIns(3,5)P2 synthesis and turnover in a single complex indicates the requirement for a tight control of PtdIns(3,5)P2 levels. PIKfyve also interacts with the Rab9 effector RABEPK and the kinesin adaptor JLP, encoded by SPAG9. These interactions link PIKfyve to microtubule-based endosome to trans-Golgi network traffic.
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In 1950 he started working at the Riga Pedagogical Institute where he had practically no time for research. In 1961 he became a research fellow at the Radioastrophysical Observatory of the Academy of Sciences of the Latvian SSR. His research focused on the density of zeros of different zeta-functions, on the distribution of primes in arithmetical progressions, on various algebraic fields and on binary and ternary quadratic forms. Fogels retired in 1966 but continued his scientific work with research on the Hecke's L-functions, prime ideals and the Riemann hypothesis until his death on 22 February 1985 in Latvia.
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The second movement is a funeral march in the ternary form (A–B–A) that is typical of 18th-century funeral marches,Roden, Timothy J.; Wright, Craig; and Simms, Bryan R., Anthology for Music in Western Civilization, Vol. 2 (Schirmer 2009) albeit one that is "large and amply developed" and in which the principal theme has the functions of a refrain as in rondo form.Lockwood, Lewis, Beethoven's Symphonies – An Artistic Vision (W. W. Norton & Company, New York 2015) Musically, the thematic solemnity of the second movement has lent itself for use as a funeral march, proper.
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In logic, a three-valued logic (also trinary logic, trivalent, ternary, or trilean, sometimes abbreviated 3VL) is any of several many-valued logic systems in which there are three truth values indicating true, false and some indeterminate third value. This is contrasted with the more commonly known bivalent logics (such as classical sentential or Boolean logic) which provide only for true and false. Emil Leon Post is often credited with first introducing additional logical truth degrees in his 1921 theory of elementary propositions. Yet, more than a decade earlier, Charles Sanders Peirce had already defined a many-valued logic system.
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RGDs) eventually kill the cancer cell if the nuclide decays in the vicinity of the cell. Especially oligo- or multimers of these binding motifs are of great interest, since this can lead to enhanced tumor specificity and avidity. Photodynamic therapy (PDT) is a ternary treatment for cancer involving a photosensitizer, tissue oxygen, and light (often using lasersDuarte, F J (Ed.), Tunable Laser Applications (CRC, New York, 2009) Chapters 5, 7, 8.). PDT can be used as treatment for basal cell carcinoma (BCC) or lung cancer; PDT can also be useful in removing traces of malignant tissue after surgical removal of large tumors.
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These symbols are scrambled, with different scrambling codes for the two transmission directions, in order reduce correlation between transmitted and received signal. To this frame, an 11-symbol preamble and a symbol from the CL channel are added, yielding a frame size of 120 ternary symbols and a symbol rate of 120 kilobaud. The CL channel is used to request activation or deactivation of a loopback in either the NT1 or a line regenerator. In 4B3T coding, there are three states presented to line: a positive pulse (+), a negative pulse (-), or a zero-state (no pulse: 0).
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Since LINGO-1 is a leucine-rich repeat protein, which are known for their important role in protein-protein interactions in a wide variety of cellular processes and their implication in important functions like neuronal differentiation and growth or the regulation of axon guidance and regeneration processes, it is logical to deduce that its functions are linked with the nervous system. LINGO-1 is an essential negative regulator of myelination. It has been implicated in the inhibition of axon regeneration through a ternary complex formed with NgR1/Nogo-66 (ligand-binding subunit) and p75 (signal transducing subunit). NgR1 relies on its co-receptors for transmembrane signalling.
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The cider-makers originally beat the strikers alternatingly on the cider press in order to crush apples, adopting a playful and rhythmic pattern as a means to enlivening the long process. Site in Spanish The pattern remains similar: two or three people standing in front of the board beat it each with a striker, they may move along the board in search of different sounds and try faster/slower and harder/softer beats on it. When there are three people playing, the rhythmic pattern is a ternary one (3/8 time or simple triple). Optionally, a player may choose not to strike on the board on their turn (rest).
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As to harmony, Mokranjac expands his basically tonal idiom with bitonal and bimodal episodes. Individual movements in these works are usually written in traditional, rounded forms (such as ternary form) and they can be performed independently from the rest of the cycle. However, Mokranjac aimed to achieve a coherent whole on the realm of the entire cycle, and the individual movements have precisely defined roles in the dramaturgy of the work. Mokranjac's typical piano texture is multilayered: it is distinguished by “hidden” melodies in inner parts, dense polyphony, broken chords in open positions, and frequent pedals which contribute towards the static or ambivalent feel of the harmony.
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Given a set Γ of relations, there is a surprisingly close connection between its polymorphisms and the computational complexity of CSP(Γ). A relation R is called primitive positive definable, or short pp-definable, from a set Γ of relations if R(v1, ... , vk) ⇔ ∃x1 ... xm. C holds for some conjunction C of constraints from Γ and equations over the variables {v1,...,vk, x1,...,xm}. For example, if Γ consists of the ternary relation nae(x,y,z) holding if x,y,z are not all equal, and R(x,y,z) is x∨y∨z, then R can be pp-defined by R(x,y,z) ⇔ ∃a.
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Cytokine receptor-like factor 2 is a protein that in humans is encoded by the CRLF2 gene. It forms a ternary signaling complex with TSLP and interleukin-7 receptor-α, capable of stimulating cell proliferation through activation of STAT3, STAT5 and JAK2 pathways and is implicated in the development of the hematopoietic system. Rearrangement of this gene with immunoglobulin heavy chain gene (IGH) (chromosome 14), or with P2Y purinoceptor 8 gene (P2RY8) (chromosome X or Y) is associated with B-progenitor- and Down syndrome- acute lymphoblastic leukemia (ALL). Cytokine signals are mediated through specific receptor complexes, the components of which are mostly members of the type I cytokine receptor family.
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The interruption (Unterbrechung) is an elaboration of the fundamental line, which is interrupted at its last passing note, , before it reaches its goal. As a result, the bass arpeggiation itself is also interrupted at the divider at the fifth (V). Both the fundamental line and the bass arpeggiation are bound to return to their starting point and the fundamental structure repeats itself, eventually reaching its goal. The interruption is the main form-generating elaboration: it often is used in binary forms (when the first part ends on the dominant) or, if the elaboration of the "dividing dominant", above V, takes some importance, it may produce ternary form, typically sonata form.
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In ternary form each section is self- contained both thematically as well as tonally (that is, each section contains distinct and complete themes), and ends with an authentic cadence. The B section is generally in a contrasting but closely related key, usually a perfect fifth above or the parallel minor of the home key of the A section (V or i); however, in many works of the Classical period, the B section stays in tonic but has contrasting thematic material. It usually also has a contrasting character; for example section A might be stiff and formal while the contrasting B section would be melodious and flowing.
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The Cantor set can be seen as the compact group of binary sequences, and as such, it is endowed with a natural Haar measure. When normalized so that the measure of the set is 1, it is a model of an infinite sequence of coin tosses. Furthermore, one can show that the usual Lebesgue measure on the interval is an image of the Haar measure on the Cantor set, while the natural injection into the ternary set is a canonical example of a singular measure. It can also be shown that the Haar measure is an image of any probability, making the Cantor set a universal probability space in some ways.
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The composer's biographer, Eero Tarasti, regards this as a regression to Villa- Lobos's earlier, clumsier style of quartet writing, and finds the texture "considerably more complicated than in previous quartets and the sound lacks transparency" . Juan José Gutiérrez, on the contrary, views the quartet as relatively simple and concise, marking the beginnings of a neoclassical concern with balance and symmetry of structure in the composer's late period . Like the opening movement's central section, the second, slow movement has the character of a modinha. Like the first movement, it is also in an ABA ternary form, in this case preceded by a thirty-two-bar introduction .
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The general definition is as follows: a cyclic order on a set is a relation , written , that satisfies the following axioms: #Cyclicity: If then #Asymmetry: If then not #Transitivity: If and then #Totality: If , , and are distinct, then either or The axioms are named by analogy with the asymmetry, transitivity, and totality axioms for a binary relation, which together define a strict linear order. considered other possible lists of axioms, including one list that was meant to emphasize the similarity between a cyclic order and a betweenness relation. A ternary relation that satisfies the first three axioms, but not necessarily the axiom of totality, is a partial cyclic order.
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PCFT operates most efficiently when there is a strong transmembrane pH gradient. Under these conditions transport of a folate molecule across the cell membrane is accompanied by a sufficient number of protons to result a positive charge and current mediated by the ternary carrier complex. It is the pH gradient present across the apical brush-border membrane of the proximal jejunum, where PCFT is highly expressed, that drives intestinal folate absorption. PCFT is expressed to a lesser extent elsewhere in the small and large intestine along with the canalicular membrane of the hepatic sinusoid and in the apical brush-border membrane of the proximal tubule of the kidney.
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Mellers, p. 156 This is followed by an upward scale by both flute and piano leading to a contrasting theme, also descending.Rifkin, pp. 141–142 MacDonald comments that the opening "makes clear the composer’s elegiac intentions", and other analysts write of the "poignancy" of the principal theme, despite the seemingly vivacious tempo.Mellers, p. 163 A counter-theme in F major gives the flute upwardly-leaping arpeggios, before the opening theme returns in A minor. Wilfrid Mellers comments that the reappearance of the first theme in an unexpected key makes it clear that Poulenc is not following sonata form but is using "a subtle ternary structure".
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The Flute Quartet No. 1 in D major, K. 285, by Wolfgang Amadeus Mozart for flute, violin, viola, and cello, the first of three quartets for the amateur Ferdinand De Jean, was probably written between 1777 and 1778.Mozart: Studies of the Autograph Scores by Alan Tyson Harvard University Press, 1987, p. 29 It is in three movements : #Allegro (D major, sonata form, common time) #Adagio (B minor, ternary form, 3/4) #Rondeau: [Allegro] (D major, sonata rondo form, 2/4) Ludwig van Beethoven borrowed from the first movement for his Duo for clarinet and bassoon of 1792."Beethoven's Debt to Mozart" J. Arthur Watson Music & Letters, Vol.
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The coros de clave share their name with the percussion instrument used as accompaniment, the Cuban claves, which execute the main rhythmic pattern, the vertical hemiola (also characteristic of the contradanza). The vertical hemiola constitutes the most essential element of the sesquiáltera rhythm, and consists in the practice of superimposing a binary rhythmic pulse over a ternary one, as follows: Vertical Hemiola. The accompaniment of the choirs frequently included a guitar and the percussion was executed over the sound box of an American banjo from which the strings were removed, due to the fact that African drums performance was strictly forbidden in Cuban cities.Sublette, Ned: Cuba and its music.
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The form of Chôros No. 5 may be regarded as a simple ternary (ABA) form, or as a variation on it, in which the central, B section becomes two distinct sections (ABCA). In the latter case, the C section may be seen an expansion and development of section B , or as an entirely separate section . The outer, A section features a device called jeitinho brasileiro (Brazilian knack, or aptitude), involving a sensuous rhythmic delay. It is produced here by overlaying two different rhythmic patterns: a quadruple-meter accompaniment of syncopated chords, and a melody that enters in the third bar in triplets with syncopation independent of the accompaniment .
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In 1920, Bailey joined the staff of the Society of Automotive Engineers as a research engineer and became the organisation's first full female member in 1926. In June 1925 she published a paper in The Woman Engineer journal entitled 'A Ternary Alloy Bearing Metal (The Development of a Material of Unusual Wearing Qualities)'. In September 1925 she travelled to Paris where she visited Marie Curie at her home. She then travelled to London, where she represented the Society of Automotive Engineers at the very first International Conference of Women in Science, Industry and Commerce organised by Caroline Haslett and the Women's Engineering Society during the British Empire Exhibition at Wembley.
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Iteration begins with "...Of Your Fake Dimension", a prelude of the album's story consisting of a Cocteau Twins-style guitar and sounds from the Elektron Analog Keys synthesizer. As Haley described "Ephmeron", "We're thrown right into the action following the last song on Silicon Tare ('du Zirconia') which saw our hero Com Truise in quite a frenzied state. At the end of the song, it feels as if all is disintegrating." The third song on the album is named "Dryswch", Welsh for "confusion", and one of the two songs on the LP along with "Ternary" showcasing Haley's experimentation with wavetable synthesis, which he was hugely into.
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Born in 1931 as the son of a doctor, Schnering initially trained as a baker before embarking on studying chemistry at the University of Münster in 1951. He completed his diploma thesis with Wilhelm Klemm in 1958 and his doctorate with Rudolf Hoppe two years later (title of the thesis: “Über Oxo- und Thiozincate und -cadmate”). As a doctoral candidate, he also stayed in Göttingen to learn from the crystallographer Josef Zemann. Schnering habilitated with the title "Beiträge zur Chemie binärer und ternärer Halogeno- und Oxoverbindungen der Metalle" (Contributions to the chemistry of binary and ternary halogen and oxo compounds of metals) at the University of Münster in 1964.
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Members of the GNAT family have a conserved glutamate residue that acts as a general base for catalyzing the nucleophilic attack of the lysine amine on the acetyl-CoA thioester bond. These HATs use an ordered sequential bi-bi mechanism wherein both substrates (acetyl-CoA and histone) must bind to form a ternary complex with the enzyme before catalysis can occur. Acetyl-CoA binds first, followed by the histone substrate. A conserved glutamate residue (Glu173 in yeast Gcn5) activates a water molecule for removal of a proton from the amine group on lysine, which activates it for direct nucleophilic attack on the carbonyl carbon of enzyme- bound acetyl-CoA.
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The Concerto is characterized by consistency and formal balance, which produces a satisfying sense of unity. Another prominent feature is the syncopated energetic rhythm that is typical of Piston's music. This is particularly prominent in the scherzo, which employs delicate percussion tapping also typical of the composer. The three fast movements are in each in an A-B-A ternary form with a more lyrical B section providing contrast to the more vigorous outer parts. The last movement begins with a stately introductory Allegro in duple meter followed by the finale proper, a Vivo in changing meters (7/8, 5/8, 3/4, etc.).
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Elegy for J. F. K. is scored for baritone or mezzo-soprano accompanied by three clarinets (two B clarinets and an alto clarinet in E), and is a twelve-tone serial composition. The text, in four haiku stanzas each of 17 syllables, was written at Stravinsky's request by W. H. Auden in memory of assassinated President John F. Kennedy, and Stravinsky chose to repeat the opening stanza at the end . Elegy makes use of various textural changes to accommodate the changes in vocal register. The piece is in ternary form, just like the poem, meaning that material is repeated in the first and last nine measures.
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In eukaryotes and archaea, the amino acid encoded by the start codon is methionine. The Met-charged initiator tRNA (Met-tRNAiMet) is brought to the P-site of the small ribosomal subunit by eukaryotic initiation factor 2 (eIF2). It hydrolyzes GTP, and signals for the dissociation of several factors from the small ribosomal subunit, eventually leading to the association of the large subunit (or the 60S subunit). The complete ribosome (80S) then commences translation elongation. Regulation of protein synthesis is partly influenced by phosphorylation of eIF2 (via the α subunit), which is a part of the eIF2-GTP-Met-tRNAiMet ternary complex (eIF2-TC).
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However, in the presence of high levels of malate and NAD+, citrate can stimulate the production of oxaloacetate. Although malate dehydrogenase is typically considered a reversible enzyme, it is believed that there is an allosteric regulatory site on the enzyme where citrate can bind to and drive the reaction equilibrium in either direction. Glutamate has also been shown to inhibit malate dehydrogenase activity. Furthermore, it has been shown that alpha ketoglutarate dehydrogenase can interact with mitochondrial aspartate aminotransferase to form a complex, which can then bind to malate dehydrogenase, forming a ternary complex that reverses inhibitory action on malate dehydrogenase enzymatic activity by glutamate.
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Cu(II) is also coordinated by the oxygen from the carboxyl group of the lysine from the neighboring complex. Another carboxyl group of lysine from a neighboring complex provides the apical oxygen, resulting in the square-planar pyramid configuration. Many researchers proposed that at the physiological pH, GHK-Cu complexes can form binary and ternary structures which may involve amino acid histidine and/or the copper binding region of the albumin molecule. Lau and Sarkar found also that GHK can easily obtain copper 2+ bound to other molecules such as the high affinity copper transport site on plasma albumin (albumin binding constant log 10 =16.2 vs.
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Ternary Phase diagram in the sodium borosilicate system Porous glass filled with water, sample about 1 mm thick, made by phase separation in a thermal gradient (high temperature on the right) of a sodium borosilicate glass, followed by acid leaching refractive indices glass/air as compared to glass/water is causing greater whiteness based on the Tyndall effect. Precondition for repetitious manufacturing of porous glass is the knowledge about structure determining and structure controlling parameters. The composition of the initial glass is a structure controlling parameter. The manufacturing of the initial glass, mainly the cooling process, the temperature and time of thermal treatment, and the after treatment are structure determining parameters.
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Interior of the Warsaw University Library, statues of philosophers of the Lvov-Warsaw School: Kazimierz Twardowski, Jan Łukasiewicz, Alfred Tarski and Stanisław Leśniewski. In 2008 the Polish Information Processing Society established the Jan Łukasiewicz Award, to be presented to the most innovative Polish IT companies."2009 International Multiconference on Computer Science and Information Technology (IMCSIT)", conference report From 1999 to 2004, the Department of Computer Science building at UCD was called the Łukasiewicz Building, until all campus buildings were renamed after the disciplines they housed. His model of 3-valued logic allowed for formulating Kleene's ternary logic and a meta-model of empiricism, mathematics and logic, i.e.
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A man cutting open a Lithium-ion battery for use in an Electric Vehicle Lithium-ion (and the mechanistically similar lithium polymer) batteries, were initially developed and commercialized for use in laptops and consumer electronics. With their high energy density and long cycle life they have become the leading battery type for use in EVs. The first commercialized lithium-ion chemistry was a lithium cobalt oxide cathode and a graphite anode first demonstrated by N. Godshall in 1979, and by John Goodenough, and Akira Yoshino shortly thereafter. Godshall, Ned A. (18 May 1980) Electrochemical and Thermodynamic Investigation of Ternary Lithium-Transition Metal-Oxygen Cathode Materials for Lithium Batteries.
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Supposedly, the work was a response to a challenge from a friend to write variations on a theme that seemed impossible for that purpose.Linn Dvořák chose the third of his set of three part-songs for unaccompanied male voices (Sborové písně pro mužské hlasy), B. 66, titled "Huslař", or "Já jsem huslař" ("The fiddler", or "I am a fiddler"; text by Adolf Heyduk - the other two songs were from Moravian folk poetry). The three songs were written in mid-January 1877 and first performed on 4 March.antonin-dvorak.cz The third song is in ternary form (ABA), where the lengths of the phrases are 7, 6, and 7 bars.
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Taipoxin is a ternary complex consisting of three subunits of α, β and γ monomers in a 1:1:1 ratio, also called the A, B and C homologous subunits. These subunits are equally distributed across the structure and together the three- dimensional structures of these three monomers form a shared core of three α helix's, a Ca2+ binding site and a hydrophobic channel to which the fatty acyl chains binds. The α and β complex consist of 120 amino acid residues which are cross linked by 7 disulfide bridges. The alpha subunit is very basic (pH(I)>10) and the only one that shows neurotoxicity.
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Watts used biophysical techniques to study the properties of pili isolated from Pseudomonas aeruginosa strain PAO and PAK for her doctoral work. Watts' post- doctoral research encompassed biochemical methods and the microscopy techniques TIRF (Total Internal Reflection Fluorescence) and FRET (Fluorescence Resonance Energy Transfer). Her work showed that CD4+ T cells could be activated to secrete Interleukin 2 by a lipid bilayer containing MHC II and peptide antigens, and that MHC II, peptide antigens and T-cell Receptor form a ternary complex. Watts' laboratory at the University of Toronto continues her immunology research, with a focus on T cells, adaptive immunity and infectious diseases.
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Type I IFN receptor forms a ternary complex, composed of its two subunits IFNAR1 and IFNAR2, and a type I IFN ligand. Ligand binding to either subunit is required for and precedes dimerization and activation of the receptor. Each subunit of IFNAR contains an N-terminal ligand binding domain (with two or four fibronectin type II-like subdomains, for IFNAR2 and IFNAR1, respectively), a transmembrane (TM) domain, and a cytoplasmic domain. Each type I IFN ligand contains a "hotspot", or a sequence of conserved amino acids that are involved in binding to the receptor, specifically the high affinity receptor IFNAR2, which determines the affinity of each ligand for the receptor.
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The inner most sleeve which houses the sample along with the upper and lower alumina pistons, is commonly also composed of NaCl. In addition to this arrangement, the inner sleeve can also be composed of a ternary eutectic salt mixture which is called a molten salt cell. The advantage to the molten salt cell is the salt mixture melts at moderate temperatures which allows for a true hydrostatic pressure to be applied the sample. When using a molten salt cell it also becomes necessary to add an additional nickel capsule to contain the salt mixture in order to prevent damage to other parts of the sample assembly.
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By employing this social strategy in the context of the ternary system, Brazilian elites were able to keep the most outspoken and skilled multiracial individuals from critiquing the unequal status quo. Due to the operation of this racialized system, it became favorable for Brazilians to present themselves as belonging to Native American or European heritages while simultaneously distancing themselves from African descendancy. Identity formation in Brazil although deeply rooted in the nation's colonial past has and continues to be confronted and changed. Evidence of this is seen in the 1970s through Brazil's Black Movement, as well as the counter movement in 2001 known as Brazil's Multiracial Movement.
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Example of late-14th century music using coloration for notating complex polymetric effects. Notes written in red in this modern transcription are also written in red in the original mensural notation. In each case, this indicates they are to be read as binary ("imperfect"), non-dotted notes; without coloration, they would have been read as ternary ("perfect", i.e. dotted). As a notation device in mensural notation, the 14th–16th century system of notating musical meters and rhythms, coloration refers to the technique of marking notes as having a change in durational value—most commonly a reduction to two thirds of their normal value (Donington and Wright 2001).
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From Peano's example, it was easy to deduce continuous curves whose ranges contained the n-dimensional hypercube (for any positive integer n). It was also easy to extend Peano's example to continuous curves without endpoints, which filled the entire n-dimensional Euclidean space (where n is 2, 3, or any other positive integer). Most well-known space- filling curves are constructed iteratively as the limit of a sequence of piecewise linear continuous curves, each one more closely approximating the space-filling limit. Peano's ground-breaking article contained no illustrations of his construction, which is defined in terms of ternary expansions and a mirroring operator.
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Plus and minus (+ and -) mean turn 60 degrees either left or right. The terminating point of the Sierpiński arrowhead curve is always the same provided you recur an even number of times and you halve the length of the line at each recursion. If you recur to an odd depth (order is odd) then you end up turned 60 degrees, at a different point in the triangle. An alternate constriction is given in the article on the de Rham curve: one uses the same technique as the de Rham curves, but instead of using a binary (base-2) expansion, one uses a ternary (base-3) expansion.
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Most commonly, APIs have hydrogen-bonding capability at their exterior which makes them more susceptible to polymorphism, especially in the case of cocrystal solvates which can be known to have different polymorphic forms. Such a case is in the drug sulfathiazole, a common oral and topical antimicrobial, which has over a hundred different solvates. It is thus important in the field of pharmaceuticals to screen for every polymorphic form of a cocrystal before it is considered as a realistic improvement to the existing API. Pharmaceutical cocrystal formation can also be driven by multiple functional groups on the API, which introduces the possibility of binary, ternary, and higher ordered cocrystal forms.
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A pathovar is a bacterial strain or set of strains with the same or similar characteristics, that is differentiated at infrasubspecific level from other strains of the same species or subspecies on the basis of distinctive pathogenicity to one or more plant hosts. Pathovars are named as a ternary or quaternary addition to the species binomial name, for example the bacterium that causes citrus canker Xanthomonas axonopodis, has several pathovars with different host ranges, X. axonopodis pv. citri is one of them; the abbreviation 'pv.' means pathovar. The type strains of pathovars are pathotypes, which are distinguished from the types (holotype, neotype, etc.) of the species to which the pathovar belongs.
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Scherzo III. Scherzo: Allegro vivace - Trio: Un poco più lento A minor/major, Trio in F major; Allegro vivace In compound ternary form, the shadowy, mercurial scherzo plays off of elements of the first movement (in particular the V-I-V-I chord sequence from the second theme), and synthesizes, reinforces, and summarizes harmonic and thematic relationships from throughout the sonata, an approach Schubert used in the scherzi in his mature piano sonatas. Odd phrase lengths, subito effects, and unprepared distant modulations give the scherzo a quirky character. The pastoral F major trio, a gently rocking interlude with soft dynamics, is in stark contrast.
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To increase the figure of merit (zT), a material’s thermal conductivity should be minimized while its electrical conductivity and Seebeck coefficient is maximized. In most cases, methods to increase or decrease one property result in the same effect on other properties due to their interdependence. A novel processing technique exploits the scattering of different phonon frequencies to selectively reduce lattice thermal conductivity without the typical negative effects on electrical conductivity from the simultaneous increased scattering of electrons. In a bismuth antimony tellurium ternary system, liquid-phase sintering is used to produce low-energy semicoherent grain boundaries, which do not have a significant scattering effect on electrons.
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All songs are scored for a four- part unaccompanied mixed chorus, except for Quand j'ai ouy le tambourin sonner, which is set for alto soloist and alto-tenor-bass. His choice of Renaissance song techniques and use of romantic texts from the past was a neoclassical trend at the time of composition. The Renaissance devices he integrated into this twentieth-century composition includes the modality and equal-voice polyphony. Each piece is in ternary form, the beginning of each is repeated at the end and features Debussy's signature use of non-functional dominant seventh chords and half-diminished seventh chords (functioning as an incomplete dominant ninth).
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The melody consists of rapid chromatic scale figures played by the outer right-hand fingers, accompanied by chord attacks. Like most of Chopin's other études, this work is in ternary form A–B–A. The harmonic scheme of the A section is relatively simple, with A minor, E major, A minor, but the chromatic scale and the exotic clash of its Cs with the A minor chords tend to veil the clarity of A minor and create a mysterious sound effect further increased by the Neapolitan chord, bar 15. The middle section brings a dramatic increase with the dynamic climax exactly in the center of the piece, bar 25.
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Initially, T1 used Alternate Mark Inversion (AMI) to reduce frequency bandwidth and eliminate the DC component of the signal. Later B8ZS became common practice. For AMI, each mark pulse had the opposite polarity of the previous one and each space was at a level of zero, resulting in a three level signal which however only carried binary data. Similar British 23 channel systems at 1.536 megabaud in the 1970s were equipped with ternary signal repeaters, in anticipation of using a 3B2T or 4B3T code to increase the number of voice channels in future, but in the 1980s the systems were merely replaced with European standard ones.
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The performance of these complex, ternary systems is controlled by their morphology. Depending on the aspect ratio of the filler particles (length/diameter) and their compatibility to the polymeric components one can achieve different morphologies: (i) filler contained within the dispersed phase, (ii) within the matrix phase or (iii) at the interface between the two phases. If the fibers are sufficiently long and are preferentially wetted by the dispersed phase an effectively continuous network consisting of fibers welded together by the dispersed phase can be created. In such manner a pseudo-continuous fibrous reinforcement is spontaneously formed during the processing step and a composite material with better mechanical performance can be obtained.
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The work is in standard four- movement form and scored for flute, two oboes, two bassoons, two horns, two trumpets, timpani and strings. #Allegro moderato (sonata form; C minor, ending in C major) #Andante (variation form; E major) #Menuetto – Trio (ternary form, C minor, trio in C major) #Finale: Vivace (rondo form; C major) The first movement opens with the main theme, which consists of two contrasting parts—the first is strong in character and the second is more lyrical. The transition to the relative major has elements of the head of the main theme. The secondary theme contrasts the main theme by being very subtle in nature, and has a dance-like rhythm.
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Note that this is opposite to the outcome expected from solid solution strengthening, where adding Indium to the ternary system slows dislocation movement through dislocation-solute interaction and subsequently increases the material's strength. The fracture toughness can also be tuned with composition modifications. For example, the average toughness of Ti1-x(Zr, Hf)xNiSn ranges from 1.86 MPa m1/2 to 2.16 MPa m1/2, increasing with Zr/Hf content. The preparation of samples may affect the measured fracture toughness however, as elaborated by O’Connor et al. In their study, samples of Ti0.5Hf0.5Co0.5Ir0.5Sb1-xSnx were prepared using three different methods: a high-temperature solid state reaction, high-energy ball milling, and a combination of both.
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Breast cancer expression of Sulf1 at the mRNA level was shown to be downregulated. Investigations into this relationship revealed that angiogenesis in breast cancer was shown to be regulated in part by Sulf1. Breast cancer xenografts overexpressing Sulf1 in athymic mice showed marked decreases in angiogenesis. Specifically, Sulf1 inhibited the ability of vascular endothelial cell heparan sulfate to participate in complex formation with FGF-2, thereby abolishing growth signaling. FGF-2 is a HB-GF, requiring the formation of a ternary complex with HS and the FGF Receptor (FGFR) to cause receptor dimerization, activation, and autophosphorylation, which then leads to induction of the mitogen-activated protein kinase (MAPK) pathway (in addition to other pathways).
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As in all of Villa-Lobos's string quartets except the first, there are the traditional four movements: #Allegro #Andante malinconico #Allegretto leggiero #Allegro ben ritmato Departing from the traditional sonata-allegro form, Villa-Lobos casts the opening movement of this quartet in a simple ABA ternary form. Each section is thirty-two bars in length, subdivided into sixteen- , eight- , and four-bars segments, and this main body of the movement is followed by a sixteen-bar coda. An interesting detail of the manuscript score is that Villa-Lobos uses the Portuguese tempo marking Alegro, instead of the Italian spelling which is his normal habit . The middle, B section is marked meno, and is in the rhythm of a modinha .
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The crystal structure of O-GlcNAc transferase has not been well studied, but the structure of a binary complex with UDP and a ternary complex with UDP and a peptide substrate has been researched. The OGT-UDP complex contains three domains in its catalytic region: the amino (N)-terminal domain, the carboxy (C)-terminal domain, and the intervening domain (Int-D). The catalytic region is linked to TPR repeats by a translational helix (H3), which loops from the C-cat domain to the N-cat domain along the upper surface of the catalytic region. The OGT-UDP-peptide complex has a larger space between the TPR domain and the catalytic region than the OGT-UDP complex.
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Xi1 Ceti (ξ1 Ceti), is a binary system located in the constellation Cetus, suspected as a ternary. In Chinese, (), meaning Circular Celestial Granary, refers to an asterism consisting of α Ceti, κ1 Ceti, λ Ceti, μ Ceti, ξ1 Ceti, ξ2 Ceti, ν Ceti, γ Ceti, δ Ceti, 75 Ceti, 70 Ceti, 63 Ceti and 66 Ceti. Consequently, the Chinese name for Xi1 Ceti itself is "the Fifth Star of Circular Celestial Granary", . AEEA (Activities of Exhibition and Education in Astronomy) 天文教育資訊網 2006 年 7 月 11 日 The spectroscopic binary nature of Xi1 Ceti was discovered in 1901 by William Wallace Campbell using the Mills spectrograph at the Lick Observatory.
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One important achievement was, by using sophisticated reinforcing mechanisms of the originally brittle ceramic, to create a reliable "quasi-ductility" and thus operational capability for excessive mechanical and thermal loads. Prof. Petzow was President of the German Society for Materials and acts on the board of directors of several scientific societies. He was chairman of the European Action COST 507 "Measurement and Evaluation of Thermochemical and Thermophysical Properties to Provide a Database for the Development of New Light Alloys". He is the founding editor of the journal "Practical Metallography", was editor-in-chief of "Zeitschrift für Metallkunde", editor of the book series "Ternary Alloys" and member of several scientific academies and advisory boards.
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Additionally, there is excellent evidence that "self- malonylation" is an inherent characteristic of Type II ACPs. In summary, a given Type II PKS may provide its own MAT (s), it may borrow one from FAS, or its ACP may “self-malonylate”. It is unknown whether the same KS/CLF/ACP ternary complex chaperones the growth of a full length polyketide chain through the entire catalytic cycle, or whether the ACP dissociates after each condensation reaction. A 2.0-Å resolution structure of the actinorhodin KS/CLF, which is very similar to the dps KS/CLF, shows polyketides being elongated inside an amphipathic tunnel formed at the interface of the KS and CLF subunits.
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The work follows the common A-B-A-C-A pattern characteristic of the rondo form; "A" is a returning theme and "B" and "C" are episodes. "A" is in A minor (the key of the piece), "B" is in F major, and "C" is in A major. Following the last appearance of "A" there is a coda that draws on the music for A as well as a minor-key version of C. Each of the five major sections is itself structured. "A" is in ternary form, "a b a", opening with a passage "a" in A minor, a middle section "b" that modulates to C major (the relative major), then an ornamented repetition of "a".
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The rate enhancement of antithrombin-Factor IXa inhibition shows an approximate 1 million fold enhancement in the presence of heparin and physiological levels of calcium. AT-III binds to a specific pentasaccharide sulfation sequence contained within the heparin polymer GlcNAc/NS(6S)-GlcA-GlcNS(3S,6S)-IdoA(2S)-GlcNS(6S) Upon binding to this pentasaccharide sequence, inhibition of protease activity is increased by heparin as a result of two distinct mechanisms. In one mechanism heparin stimulation of Factor IXa and Xa inhibition depends on a conformational change within antithrombin involving the reactive site loop and is thus allosteric. In another mechanism stimulation of thrombin inhibition depends on the formation of a ternary complex between AT-III, thrombin, and heparin.
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For example, the Gayatri mantra contains three metric lines of exactly eight syllables, with an embedded ternary rhythm. According to Lewis Rowell – a professor of Music specializing on classical Indian music, the need and impulse to develop mathematically precise musical meters in the Vedic era may have been driven by the Indian use of oral tradition for transmitting vast amounts of Vedic literature. Deeply and systematically embedded structure and meters may have enabled the ancient Indians a means to detect and correct any errors of memory or oral transmission from one person or generation to the next. According to Michael Witzel, The Samaveda also included a system of chironomy, or hand signals to set the recital speed.
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After complete polymerization, typically by UV micromolding, the polymer articles contain a well-defined number of unreacted thiol or allyls groups both on the surface and in the bulk. These surface anchors can be used for subsequent direct surface modification or bonding. In later versions epoxy monomers were added to form ternary thiol-ene-epoxy monomer systems (OSTE+), where the epoxy in a second step reacts with the excess of thiols creating a final polymer article that is completely inert. Some of the critical features of OSTE+ polymers include uncomplicated and rapid fabrication of complex structures in a standard chemistry labs, hydrophilic native surface properties and covalent bonding via latent epoxy chemistry.
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Dooyeweerd's next RGM is not dualistic but ternary, described as Creation - Fall - Redemption: three moments of radical cosmic change. This RGM is argued to be authentically Judeo-Christian because it does not identify any parts or aspects of experienced reality that might be absolutised in place of God; rather, it shows the significance of the biblical metanarrative for a correct understanding of reality. Significantly, it is an understanding that can only be derived from special revelation. For much of the history of Christianity this RGM has not taken its legitimate prominence because of the way that Christianity was accommodated to Greek pagan philosophy in the writings of some of the Church Fathers such as Justin and Athenagoras.
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It has been a general assumption that txalaparta evolved out of a simple binary pattern. Yet in an interview to Juan Mari Beltran, a pundit on the issue that did major field work and has afterwards elaborated on the topic, he holds that ttukuttunas (three-strike sets), even fours, were occasionally played by the last old txalaparta performers. Notwithstanding this comment, it may be contended that they were not ternary or four-strike patterns, but isolated ready-made beat sets inserted in an otherwise simple binary pattern. Site in Basque Giving it a try in a txalaparta class As regards melody in txalaparta, the issue turns out contentious to some degree, due to the rhythmic nature of the instrument.
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Eukaryotic initiation factor complex 2 (eIF2) forms a ternary complex with GTP and the initiator Met-tRNA – this process is regulated by guanine nucleotide exchange and phosphorylation and serves as the main regulatory element of the bottleneck of gene expression. Before translation can progress to the elongation stage, a number of initiation factors must facilitate the synergy of the ribosome and the mRNA and ensure that the 5’ UTR of the mRNA is sufficiently devoid of secondary structure. Binding in this way is facilitated by group 4 eukaryotic initiation factors; eIF4F has implications in the normal regulation of translation as well as the transformation and progression of cancerous cells; as such, it represents an interesting field of research.
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Expression of NSP3 in mammalian cells allows the efficient translation of virus-like mRNA: NSP3 forms a link between viral mRNA and the cellular translation machinery and hence is a functional analogue of cellular poly(A)-binding protein. Site-directed mutagenesis and isothermal titration calorimetry documented that NSP3 and PABP use analogous eIF4G recognition strategies, despite marked differences in tertiary structure. Using the yeast two-hybrid assay, RoXan a novel cellular protein was found to bind NSP3. The interaction between NSP3 and RoXaN does not impair the interaction between NSP3 and eIF4GI, and a ternary complex made of NSP3, RoXaN, and eIF4G I can be detected in rotavirus-infected cells, implicating RoXaN in translation regulation.
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Following repeated requests to Brubeck from the Quartet's drummer, Joe Morello, for a new piece to showcase his facility with time, Desmond unwittingly "lucked out... like keno" when Brubeck delegated his saxophonist to contribute a composition in that meter to the Time Out album, using Morello's rhythm. Desmond delivered two melodies, which Brubeck arranged in ternary form. Recording "Take Five" proved so torturous for the Quartet that, after 40 minutes and more than 20 failed attempts, producer Teo Macero suspended the first recording session of June 25, 1959 because one or another of the members kept losing the beat. They finally cut the single and album tracks at the next session on July 1.
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Inserting a value into a ternary search can be defined recursively much as lookups are defined. This recursive method is continually called on nodes of the tree given a key which gets progressively shorter by pruning characters off the front of the key. If this method reaches a node that has not been created, it creates the node and assigns it the character value of the first character in the key. Whether a new node is created or not, the method checks to see if the first character in the string is greater than or less than the character value in the node and makes a recursive call on the appropriate node as in the lookup operation.
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The symphony consists of four movements: #Allegro non troppo #Adagio #Scherzo (Vivace) #Molto Allegro The form of the first movement resembles a five-part (ABACA) rondo, with a coda in which the main theme returns in augmentation . The second movement is in a ternary (ABA) design, and leads without break into the third movement Like the first movement, the scherzo is in a five-part rondo form, except that the returns of the main A section are in different keys, and the second occurrence is immediately after the first: A A' B C A . The finale is also in a modified five-part rondo form. As in the scherzo, the refrain returns in keys different from its initial appearance .
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On 17 June 1944, Hans Junck became divisional commander for a short period, before Carl Becker returned to his post on 28 June. On 1 October 1944, Grenadier Regiment 473 was reassembled, using the third battalions of Regiments 453 and 464, resulting in a ternary division with three binary battalions as well as an additional battalion, for a continued total of seven battalions. After combat under the 1st Panzer Army in the Beskids area, the 253rd Infantry Division, reduced to Kampfgruppe strength, was forced to retreat to Upper Silesia. On 8 December 1944, Emmanuel von Kiliani temporarily took command of the division, before Carl Becker returned for a third and final tenure on 30 December.
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It had a steady rhythm, not broken up into faster notes. A Tempo di Gavotti by George Frideric Handel In the Baroque suite the gavotte is played after (or sometimes before) the sarabande. Like most dance movements of the Baroque period it is typically in binary form but this may be extended by a second melody in the same metre, often one called the musette, having a pedal drone to imitate the French bagpipes, played after the first to create a grand ternary form; A–(A)–B–A. There is a Gavotte en Rondeau ("Gavotte in rondo form") in J.S. Bach's Partita No. 3 in E Major for solo violin, BWV 1006.
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The poly-leucine strands demonstrate enzyme-like kinetics with a first-order dependence on and eventual saturation with both the hydroperoxide anion (KM= 30 mM) and the olefin substrate (KM=110 mM.) Kinetic study suggests that the reaction proceeds by random steady-state formation of a ternary (polyleucine+hydroperoxide anion+olefin) complex. Both substrates must bind prior to reaction, and while either may bind first, initial hydroperoxide binding is kinetically preferred. The rapid equilibrium enabling complex formation is followed by the rate- limiting formation of the peroxide enolate (Figure 3).Carrea, G.; Colonna, S.; Meek, A. D.; Ottolina, G.; Roberts, S. M., "Kinetics of chalcone oxidation by peroxide anion catalysed by poly-L-leucine". Chem. Comm.
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These are made by the reaction of phenols, formaldehyde and primary amines which at elevated temperatures (400 °F (200 °C)) undergo ring–opening polymerisation forming polybenzoxazine thermoset networks; when hybridised with epoxy and phenolic resins the resulting ternary systems have glass transition temperatures in excess of 490 °F (250 °C).Handbook of Benzoxazine Resins, ed. Hatsuo Ishida And Tarek Agag, Elsevier B.V., 2011, Benzoxazine resin synthetic pathway, structure and cure mechanism Cure is characterised by expansion rather than shrinkage and uses include structural prepregs, liquid molding and film adhesives for composite construction, bonding and repair. The high aromatic content of the high molecular weight polymers provides enhanced mechanical and flammability performance compared to epoxy and phenolic resins.
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After the fugue concludes, the piece's themes are all recapitulated in G major, initially begun by a unison orchestra before dividing across echo between orchestra and solo quartet. With the Welsh theme repeating a succession of three times before striking a momentous ƒƒƒ, on which the orchestra is in unison again (see Polyphony), it is this time echoed by the solo quartet, a change from the rest of the piece. The Welsh theme appears in all its splendour in a triumphant coda for the fifth and final time, before ending with a ternary perfect cadence followed by a G major chord in which the whole orchestra plays pizzicato, except for the double basses, who play with their bows.
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These three categories—European, African, and Native American—were placed within a racial hierarchy established around a Eurocentric agenda; the particular system implemented in Brazil was known as the ternary racial project, which was popularized by anthropologist Gilberto Freyre. This system was established in order to validate the nation's extensive miscegenation practices, creating three categories of classification: white, multiracial, and black. Brazil never passed anti-miscegenation laws, and instead, viewed miscegenation as a means to slowly whiten the Brazilian population. But focusing on this lack of legalized racial discrimination resulted in the misconception that Brazilian society was also free of racism, a concept known as "racial democracy" wherein Brazil was free of discrimination such as segregation and racial violence.
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The theory of "racial democracy" was further developed in the 1930s as a means to reconcile nationalist anti-immigration sentiment, the perceived failure of the state initiative to whiten Brazil, and the growing multiracial population. Freyre interpreted Brazil's mixed-race population as being the defining characteristic of Brazil: a country where one could live in a harmonious, multiracial society. In line with this agenda, social status in Brazil was not exclusively determined by race; instead, it can be argued that an individual's social identity is more impacted by physical appearances in combination with class and cultural practices. By creating a third category in the ternary system, multiracial individuals were given more vertical social mobility than Brazilians of African descent.
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The two enzymes do not interact directly. Rather, they are brought together by an associated regulator of PIKfyve, called ArPIKfyve/VAC14, that scaffolds a ternary regulatory complex, known as the PAS complex (from the first letters of PIKfyve/ArPIKfyve/Sac3).Sbrissa D, Ikonomov OC, Fenner H, Shisheva A. ArPIKfyve homomeric and heteromeric interactions scaffold PIKfyve and Sac3 in a complex to promote PIKfyve activity and functionality. J Mol Biol. 2008 Dec 26;384(4):766-79. Epub 2008 Oct 11. PIKfyve attaches the PAS complex onto Rab5GTP/PtdIns3P-enriched endosomal microdomains via its FYVE finger domain that selectively binds PtdIns3P. Ikonomov OC, Sbrissa D, Shisheva A. Localized PtdIns 3,5-P2 synthesis to regulate early endosome dynamics and fusion.
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This brilliant virtuoso piece is rhythmically complex, contrasting thunderous left-hand ostinato against a jagged right hand melodic line. As in Chopin's Revolutionary Etude, the performer must possess considerable left-hand endurance to maintain a consistent legato throughout the piece. The structural form of the piece is ternary, roughly "ABA" with a coda. The main "idea" of the composition appears in measure 3: 300px Measure 3 Here, the left-hand ostinato continues unimpeded as the treble line, accented and marked sempre marcato and fortissimo makes a regal entrance. By measure 20, the kernel of measure 3 is varied drastically, into a transcendent sequence that introduces an inner voice and offsets the main theme.
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Finally, the quaternary structure derives from the aggregation of polypeptide subunits based on the ternary structures. It is this final structure that allows each protein to serve its unique role, be it oxygen transport for hemoglobin or antigen detection for antibodies. In this partially decomposable emergent system, each level involves a configuration of components from lower levels, but the biochemical constraints operative on each level are unique to that level and only operate once that level has emerged during the process of folding. The fully emergentist version of the UCM emphasizes the ways in which language learning and processing is constrained by processes operating at divergent structural levels in divergent time/process frames (MacWhinney, 2015a).
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The original Woods–Lyon INTERCAL was very limited in its input/output capabilities: the only acceptable input were numbers with the digits spelled out, and the only output was an extended version of Roman numerals. The C-INTERCAL reimplementation, being available on the Internet, has made the language more popular with devotees of esoteric programming languages. The C-INTERCAL dialect has a few differences from original INTERCAL and introduced a few new features, such as a COME FROM statement and a means of doing text I/O based on the Turing Text Model. The authors of C-INTERCAL also created the TriINTERCAL variant, based on the Ternary numeral system and generalizing INTERCAL's set of operators.
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Beethoven ignored the two stanzas of the poem, structuring the text differently as a ternary form, ABA. He used the first two lines for a solemn A section; the following four (two from the first stanza and two from the second) for a softer, narrating middle section, beginning with "Ihn rühmt der Erdkreis" (The circle of the world praises Him); and the final two lines for a slightly modified repeat of the beginning, with the text "Sie kommt und leuchtet" (It comes and illuminates), the second half of the second stanza. The music in C major and alla breve time is marked "Majestätisch und erhaben" (Majestic and sublime). The music opens with two measures of solemn chords by the piano.
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Flip-flops can be generalized in at least two ways: by making them 1-of-N instead of 1-of-2, and by adapting them to logic with more than two states. In the special cases of 1-of-3 encoding, or multi-valued ternary logic, such an element may be referred to as a flip-flap-flop.Often attributed to Don Knuth (1969) (see ), the term flip-flap-flop actually appeared much earlier in the computing literature, for example, , and in In a conventional flip-flop, exactly one of the two complementary outputs is high. This can be generalized to a memory element with N outputs, exactly one of which is high (alternatively, where exactly one of N is low).
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Six-bar linkage from Kinematics of Machinery, 1876 A six-bar linkage is a one degree-of-freedom mechanism that is constructed from six links and seven joints. J. M. McCarthy and G. S. Soh, Geometric Design of Linkages, 2nd Edition, Springer 2010 An example is the Klann linkage used to drive the legs of a walking machine. In general, each joint of a linkage connects two links, and a binary link supports two joints. If we consider a hexagon constructed from six binary links with six of the seven joints forming its vertices, then the seventh joint can be added to connect two sides of the hexagon to form a six-bar linkage with two ternary links connected by one joint.
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Multi-substrate reactions follow complex rate equations that describe how the substrates bind and in what sequence. The analysis of these reactions is much simpler if the concentration of substrate A is kept constant and substrate B varied. Under these conditions, the enzyme behaves just like a single-substrate enzyme and a plot of v by [S] gives apparent KM and Vmax constants for substrate B. If a set of these measurements is performed at different fixed concentrations of A, these data can be used to work out what the mechanism of the reaction is. For an enzyme that takes two substrates A and B and turns them into two products P and Q, there are two types of mechanism: ternary complex and ping–pong.
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The Dalitz plot is a ternary plot often used in particle physics to represent the relative frequency of various (kinematically distinct) manners in which the products of certain (otherwise similar) three-body decays may move apart. The kinematics of a three-body decay can be completely described using two variables. In a traditional Dalitz plot, the axes of the plot are the squares of the invariant masses of two pairs of the decay products. (For example, if particle A decays to particles 1, 2, and 3, a Dalitz plot for this decay could plot m212 on the x-axis and m223 on the y-axis.) If there are no angular correlations between the decay products then the distribution of these variables is flat.
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His more than five hundred single-movement keyboard sonatas also contain abrupt changes of texture, but these changes are organized into periods, balanced phrases that became a hallmark of the classical style. However, Scarlatti's changes in texture still sound sudden and unprepared. The outstanding achievement of the great classical composers (Haydn, Mozart and Beethoven) was their ability to make these dramatic surprises sound logically motivated, so that "the expressive and the elegant could join hands." At first the new style took over Baroque forms—the ternary da capo aria and the sinfonia and concerto—but composed with simpler parts, more notated ornamentation, rather than the improvised ornaments that were common in the Baroque era, and more emphatic division of pieces into sections.
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The Two Symphonic images (1953) comprise a diptych, featuring in the final movement a female choir and solo mezzo-soprano conjoint with orchestra. As a motto for this work, Radić in the score inscribed a quotation from Oscar Wilde’s De Profundis: “...and I know that for me, to whom flowers are part of desire, there are tears waiting in the petals of some rose.” The first image based upon a freely treated sonata form yields the thematic material in the brass and a scherzo-like line of complex meter. The ternary form of the second image is executed by symmetric location of two segments of a rondo, around an intermezzo entitled An Elegy that serves as an axis of the form.
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The rhythm is especially interesting, with its soft syncopation (related to a binary rhythm in a ternary bar): repeated accompaniment from the scherzo appears in the second part and the return of the grupetto relaunches the movement with its dynamic and orchestral violence. A tam-tam hit follows the coda, at the end of which the grupetto, played by the strings in a slower time, is repeated with a prophetic insistence, strengthened by the brass and percussion instruments. Despite the uneven quality of the composition itself, there is no doubt that the First Symphony is powerful and dramatic. It is influenced by Tchaikovsky's last symphonies, although this influence can only be seen in the feeling of anguish against relentless fate.
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Postlewaite composed waltzes, mazurkas, schottisches, quadrilles, marches, and quick steps, the "typical popular genres of the nineteenth century." These genres comprise common social dance music that was imported into the United States during the eighteenth and nineteenth centuries. Postlewaite was familiar with compositional practices of these Euro-American dance genres, as well as those of dance and folk tunes of the African American community. His compositions, with respect to formal structure and harmonic structure, often reflect the Euro-American dance forms, being often in Minuet-trio form, Rondo, or a Ternary form, often deploying five basic chords (tonic, dominant, supertonic, subdominant, leading tone) Some of his pieces, however, fuse the large-scale structure of Euro-American social dance music with folksong tunes.
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Further studies revealed the influence of kinetic fluctuations on the size distributions of islands and droplets in the stages of their nucleation, growth, and Ostwald ripening [16,17]. He also contributed into binary nucleation theory with a saddle point of the formation energy, with applications in growth theory of strain-induced islands [18] and ternary VLS nanowires. ;Statistical size distributions and scaling properties In 1996, he published exact solution for the infinite set of rate equations for heterogeneous growth with size-linear rate constants [19], reduced to one-parametric Polya distribution. Further investigation of the growth systems with size-linear capture rates led to a two-parametric modified beta-distribution (2015) [20] which acquires the Vicsek-Family scaling form [21] in the continuum limit.
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The nitridoborates are chemical compounds of boron and nitrogen with metals. These compounds are typically produced at high temperature by reacting hexagonal boron nitride (α -BN) with metal nitrides or by metathesis reactions involving nitridoborates. A wide range of these compounds have been made involving lithium, alkaline earth metals and lanthanides, and their structures determined using crystallographic techniques such as X-ray crystallography. Structurally one of their interesting features is the presence of polyatomic anions of boron and nitrogen where the geometry and the B–N bond length have been interpreted in terms of π-bonding. Many of the compounds produced can be described as ternary compounds of metal boron and nitrogen and examples of these are Li3BN2, Mg3BN3, La3B3N6, La5B4N9.
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This is an AFM diagram, a ternary diagram showing the relative proportions of the oxides of Na2O + K2O (A), FeO + Fe2O3 (F), and MgO (M). The arrows show the path of the magmas in the tholeiitic and the calc- alkaline magma series. Rocks from the calc-alkaline magma series are distinguished from rocks from the tholeiitic magma series by the redox state of the magma they crystallized from (tholeiitic magmas are reduced, and calc- alkaline magmas are oxidized). When mafic (basalt-producing) magmas crystallize, they preferentially crystallize the more magnesium-rich and iron- poor forms of the silicate minerals olivine and pyroxene, causing the iron content of tholeiitic magmas to increase as the melt is depleted of iron-poor crystals.
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The piece was a great success - so much so that in 1966 Ashton enlarged the piece so that it would be long enough to be performed in the normal repertory, by the addition of Monotones I, which formed an overture to the earlier work. This piece in many ways forms a mirror image of Monotones II. Based on Satie's Gnossiennes, it is another pas de trois, but in this case for two women and one man; the premiere was given by Antoinette Sibley, Georgina Parkinson, and Brian Shaw. Ashton took his cues in choreographing the ballet from the form, structure and inspiration of Satie's music. The ternary structure of the Gymnopedies and Gnossiennes supports what has been referred to as a "trinitarian obsession" of Ashton's.
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His basic research centers around the development of quantitative High Resolution Transmission Electron Microscopy, aided by computer-controlled microscope operation and image simulation, which enables direct determination of atomic structure in defective materials. His research also involves using electron- microscopy-based methods to characterize advanced materials such as semiconductor heterostructures, magnetic thin films and multilayers, and nanostructures. Semiconductor systems of interest include ternary and quaternary Group III nitride alloys for light-emitting diodes and lasers, and II-VI alloys, such as mercury cadmium telluride for detectors of infra-red radiation. Magnetic materials being studied include shape-memory alloys, as well as magnetic tunnel junctions, which are based on ferromagnet-insulator- ferromagnet combinations, that have promising applications for non-volatile, high-storage-density recording media.
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The traditional music of Adjara in Western Georgia includes an ancient war-dance called Khorumi, which is in quintuple meter. The cyclically repeating fixed time cycles of Carnatic and Hindustani classical music, called tālas, include both fast and slow quintuple patterns, as well as binary, ternary, and septuple cycles. In the Carnatic system, there is a complex "formal" system of tālas which is of great antiquity, and a more recent, rather simpler "informal" system, comprising selected tālas from the "formal" system, plus two fast tālas called Cāpu. The slow quintuple tāla, called Jhampā is from the formal system, and consists of a pattern of beats; the fast quintuple tāla is called khaṇḍa Cāpu or ara Jhampā, and consists of beats.
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In abstract algebra, a semiheap is an algebraic structure consisting of a non- empty set H with a ternary operation denoted [x,y,z]\in H that satisfies a modified associativity property: :\forall \ a,b,c,d,e \in H \ \ \ \ a,b,c],d,e] = [a,[d,c,b],e] = [a,b,[c,d,e. A biunitary element h of a semiheap satisfies [h,h,k] = k = [k,h,h] for every k in H. A heap is a semiheap in which every element is biunitary. The term heap is derived from груда, Russian for "heap", "pile", or "stack". Anton Sushkevich used the term in his Theory of Generalized Groups (1937) which influenced Viktor Wagner, promulgator of semiheaps, heaps, and generalized heaps.
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These materials are classified according to the periodic table groups of their constituent atoms. Different semiconductor materials differ in their properties. Thus, in comparison with silicon, compound semiconductors have both advantages and disadvantages. For example, gallium arsenide (GaAs) has six times higher electron mobility than silicon, which allows faster operation; wider band gap, which allows operation of power devices at higher temperatures, and gives lower thermal noise to low power devices at room temperature; its direct band gap gives it more favorable optoelectronic properties than the indirect band gap of silicon; it can be alloyed to ternary and quaternary compositions, with adjustable band gap width, allowing light emission at chosen wavelengths, which makes possible matching to the wavelengths most efficiently transmitted through optical fibers.
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Ancient slag composition is usually a quaternary eutectic system CaO-SiO2-FeO-Al2O3 simplified to CaO-SiO2-FeO2, giving a low and uniform melting point. In some circumstances, the eutectic system was created according to the proportion of silicates to metal oxides in the gangue, together with the type of ore and the furnace lining. In other instances, a flux was required to achieve the correct system.Craddock P. "The Scientific investigation of early mining and smelting" in Henderson J. (Ed.) Scientific analysis in archaeology Oxford University Committee for Archaeology, Oxford, Institute of Archaeology, Los Angeles and the UCLA Institute of Archaeology. Distributed by Oxbow Books, 1989, p178-212 The melting temperature of slag can be determined by plotting its chemical composition in a ternary plot.
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NF-κB (green) heterodimerizes with RelB (cyan) to form a ternary complex with DNA (orange) that promotes gene transcription.; NF-κB is important in regulating cellular responses because it belongs to the category of "rapid-acting" primary transcription factors, i.e., transcription factors that are present in cells in an inactive state and do not require new protein synthesis in order to become activated (other members of this family include transcription factors such as c-Jun, STATs, and nuclear hormone receptors). This allows NF-κB to be a first responder to harmful cellular stimuli. Known inducers of NF-κB activity are highly variable and include reactive oxygen species (ROS), tumor necrosis factor alpha (TNFα), interleukin 1-beta (IL-1β), bacterial lipopolysaccharides (LPS), isoproterenol, cocaine, and ionizing radiation.
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The form of this movement is ABCB1A1DXA2, with A being the glowing melody and X a reminiscence of the symphony's introduction. The BCB1 component can be considered a ternary episode. B suggests a sonata transition, while the C material arrives with the weight of a sonata second subject. In a purported sonata allegro scheme, the B1 section would inaugurate the development, given its more active texture and return to the main key of C. The A theme is developed next, with canonic imitations in E-flat major, after which surface the mysterious B-major chords of section D. These two sections (D and X) shatter the proposed sonata scheme, and in place of a recapitulation, the movement closes with another reprise of the lyrical A theme.
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As recorded by the Beatles, the song is in the key of A major. Its distinctive lead guitar cadences were achieved by using a volume pedal and through common guitar suspended chords in the key of A. These form the introduction and most of the verse of the song and give a quasi-modal effect relieved in the verse by a line in the relative minor, the whole making a fourteen-bar ternary verse- structure. This, after a repeat, segues easily into a second bridge melody, which is based on a simple IV-V-I chord progression that passes through the dominant key to resolve back on the verse. The song has characteristics typical of Harrison's writing style in its syncopated melody line and melodic idiosyncrasy.
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Studies of the eclipsing ternary Algol led to the Algol paradox in the theory of stellar evolution: although components of a binary star form at the same time, and massive stars evolve much faster than the less massive ones, it was observed that the more massive component Algol A is still in the main sequence, while the less massive Algol B is a subgiant at a later evolutionary stage. The paradox can be solved by mass transfer: when the more massive star became a subgiant, it filled its Roche lobe, and most of the mass was transferred to the other star, which is still in the main sequence. In some binaries similar to Algol, a gas flow can actually be seen.
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The language "contemporaneousness" however, is not unambiguous since it does not pertain to dodecaphony or tonal means, while at the same time both the procedures with twelve tones and clear "tonal" centers exist in the work. Here, Ristić also demonstrated his contrapuntal and orchestration skills, though without indication of communicating an extra musical narrative. This composition does not contain a "strict, determined program," but, as Peričić states "it operates by its sole musical content." The "non-discursive" trait of this symphony is emphasized by its traditional four-movement formal plan: Allegro moderato—Vivace, Come una Marcia funebre, Tempo I—Andante mosso— Allegro assai, in which individual movements follow the sonata form (first and fourth movements), and binary—ternary architectural patterns (second and third movements).
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Zinc telluride can be easily doped, and for this reason it is one of the more common semiconducting materials used in optoelectronics. ZnTe is important for development of various semiconductor devices, including blue LEDs, laser diodes, solar cells, and components of microwave generators. It can be used for solar cells, for example, as a back-surface field layer and p-type semiconductor material for a CdTe/ZnTe structure or in PIN diode structures. The material can also be used as a component of ternary semiconductor compounds, such as CdxZn(1-x)Te (conceptually a mixture composed from the end-members ZnTe and CdTe), which can be made with a varying composition x to allow the optical bandgap to be tuned as desired.
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Various pseudo-ternary systems were investigated at 4 mol% AlF3 leading to the definition of 7 stable glasses, such as ZBNA, ZBLA, ZBYA, ZBCA that could be cast as multi-kilogram bulk samples and resulted later in the classical ZBLAN glass composition that combines ZBNA and ZBLA. Further development on preparation method, scale-up, improvements of the manufacturing process, material stability and formulations was largely motivated by the experiments in French telecom at that time that found that intrinsic absorption for ZBLAN fibers was quite low (~10 dB/km) which could lead to an ultra-low optical loss solution in the mid-infrared. Such optical fibers could then become an excellent technical solution for a variety of systems for telecommunications, sensing and other applications.
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Motives of the original theme emerge in the development, which, unconventionally, returns to the second theme (as opposed to the first) for the recapitulation, which is in B major. The scherzo, in the distant key of E-flat major and in strict ternary form, characterised by ebullient quaver runs in the right hand, with a more demure chordal middle section in B major. If played slowly, the main E-flat major theme sounds somewhat similar to the E-flat major melody from the composer's Ballade No. 1. Unlike the scherzo of the B-flat minor sonata (and, indeed, the rest of Chopin's contributions to the genre outside of the sonatas), it is exceptionally short, typically lasting barely two minutes in performance.
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The ribosome assembles on the start codon (AUG), located within the Kozak sequence. Prior to translation initiation, scanning is done by the pre-initiation complex (PIC). The PIC consists of the 40S (small ribosomal subunit) bound to the ternary complex, eIF2-GTP-intiatorMet tRNA (TC) to form the 43S ribosome. Assisted by several other initiation factors (eIF1 and eIF1A, eIF5, eIF3, polyA binding protein) it is recruited to the 5′ end of the mRNA. Eukaryotic mRNA is capped with a 7-methylguanosine (m7G) nucleotide which can help recruit the PIC to the mRNA and initiate scanning. This recruitment to the m7G 5′ cap is supported by the inability of eukaryotic ribosomes to translate circular mRNA, which has no 5′ end.
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Three of these genes (gene symbols SACM1L, INPP5F and FIG4), harbor a single Sac1 domain. In the other two genes, synaptojanin 1 and 2, the Sac1 domain coexists with another phosphoinositide phosphatase domain, with both domains supporting phosphate hydrolysis. The human Sac3 cDNA that predicts a 907 aminoacid protein and gene localization to chromosome 6 has been reported in 1996. Sac3 is characterized as a widespread 97-kDa protein that displays in vitro phosphatase activity towards a range of 5’-phosphorylated phosphoinositides. Sac3 forms a hetero-oligomer with ArPIKfyve (gene symbol, VAC14) and this binary complex associates with the phosphoinositide kinase PIKFYVE in a ternary PAS complex (from the first letters of PIKfyve-ArPIKfyve- Sac3), which is required to maintain proper endosomal membrane dynamics.
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Much discussion and experimentation on Tschermakite has been in relation to it being synthesized along with other calcic-amphiboles to determine the stoichiometric and barometric constraints of the various amphibole solid solutions series. Because of the (Mg, Fe, Ca),Si<->Al, Al tschermak cation exchange that is fundamental to not only the amphibole group but also the pyroxenes, micas and chlorites (Najorka and Gottschalk, 2003) (Ishida and Hawthorne, 2006). Tschermakite has been synthesized in numerous experiments along with its ternary solid solution end members tremolite and cummingtonite in order to relate its varying compositions to a specific P and T. The thermodynamic data that results from these tests helps to calculate further geothermobarometric equations in both synthesized and natural forms of a variety of minerals.
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Girard (1987) to model linear logic), while Chu spaces over K realize any category of vector spaces over a field whose cardinality is at most that of K. This was extended by Vaughan Pratt (1995) to the realization of k-ary relational structures by Chu spaces over 2k. For example, the category Grp of groups and their homomorphisms is realized by Chu(Set, 8) since the group multiplication can be organized as a ternary relation. Chu(Set, 2) realizes a wide range of ``logical`` structures such as semilattices, distributive lattices, complete and completely distributive lattices, Boolean algebras, complete atomic Boolean algebras, etc. Further information on this and other aspects of Chu spaces, including their application to the modeling of concurrent behavior, may be found at Chu Spaces.
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Lookups need to visit twice as many nodes in the worst case, but the storage requirements go down by a factor of eight. An alternative implementation represents a node as a triple and links the children of a node together as a singly linked list: points to the node's first child, to the parent node's next child. The set of children can also be represented as a binary search tree; one instance of this idea is the ternary search tree developed by Bentley and Sedgewick. Another alternative in order to avoid the use of an array of 256 pointers (ASCII), as suggested before, is to store the alphabet array as a bitmap of 256 bits representing the ASCII alphabet, reducing dramatically the size of the nodes.
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The second movement is a tempestuous scherzo (ternary form) in compound duple meter in C minor, the same key as the first movement. Donald Francis Tovey argues that Brahms puts the scherzo in the same key as the first movement because the first movement does not sufficiently stabilize its own tonic and requires the second movement to "[furnish] the tonal balance unprovided for by the end of the first movement." Although it is the shortest scherzo of Brahms's piano quartets, it is formally and tonally very complex. The movement begins with an opening motif of a descending octave on G and a rising minor second to A stated by the piano, followed by a falling diatonic line accompanied by the strings.
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The Andante is in a modified ternary form: ABCA′ with a coda. This is the only movement of the quartet that is not in C minor, and it is in the key of E major, a remote key in the context of C minor. This can be explained by its origin as the slow movement to a piano quartet in C-sharp minor, which Brahms revised and published as Op. 60 in C minor. The key of E major is easily explained in the tonal context of C minor, but the key choice of this movement was not revised as was the first movement; it should also be noted that the slow movement to Brahms's Symphony No. 1 in C minor is also in E major.
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By this time there were many other important contributors, but one should not omit to mention Geoff Whittle's extension to ternary matroids of Tutte's characterization of binary matroids that are representable over the rationals , perhaps the biggest single contribution of the 1990s. In the current period (since around 2000) the Matroid Minors Project of Jim Geelen, Gerards, Whittle, and others, which attempts to duplicate for matroids that are representable over a finite field the success of the Robertson-Seymour Graph Minors Project (see Robertson–Seymour theorem), has produced substantial advances in the structure theory of matroids. Many others have also contributed to that part of matroid theory, which (in the first and second decades of the 21st century) is flourishing.
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The compatible HDR modes use SCL pulses of at most 45 ns so that I²C devices will ignore them. The HDR-DDR mode uses double data rate signalling with a 12.5 MHz clock to achieve a 25 Mbit/s raw data rate (20 Mbit/s effective). This requires changing the SDA line while SCK is high, a violation of the I²C protocol, but I²C devices will not see the brief high-going pulse on SCL and thus not notice the violation. The HDR-TSP and HDR-TSL modes use one of three symbols as ternary digits (trits): Two bytes plus two parity bits (18 bits total) are broken into six 3-bit triplets, and each triplet is encoded as two trits.
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This divertimento consists of 6 movements: #Allegro (in D major and in sonata form) #Tema con variazioni (Andante) (in D minor, theme and 6 variations, fourth variation in D major) #Menuetto - Trio (in D major and in compound ternary form, trio in G major) #Adagio (in A major and in sonata form) #Menuetto - Trio I - Trio II (in D major and in rondo form, where the first trio is in D minor and the second trio is in B minor) #Rondo (Allegro) (in D major and in sonata rondo form) In Kurt Sanderling's recording of this piece, both the Adagio and the second Menuetto are omitted. In the recording with Florian Heyerick conducting the Kurpfälzisches Kammerorchester Mannheim, part of the Rondo is omitted.
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The linear growth rate of the solid carbon product phase suggests a reaction-driven kinetic mechanism, but the kinetics become diffusion-limited for thicker films or larger particles. A high mass transport condition (high gas flow rates) facilitates the removal of the chloride and shifts the reaction equilibrium towards the CDC product. Chlorine treatment has successfully been employed for CDC synthesis from a variety of carbide precursors, including SiC, TiC, B4C, BaC2, CaC2, Cr3C2, Fe3C, Mo2C, Al4C3, Nb2C, SrC2, Ta2C, VC, WC, W2C, ZrC, ternary carbides such as Ti2AlC, Ti3AlC2, and Ti3SiC2, and carbonitrides such as Ti2AlC0.5N0.5. Most produced CDCs exhibit a prevalence of micropores (< 2 nm) and mesopores (between 2 and 50 nm), with specific distributions affected by carbide precursor and synthesis conditions.
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In hypersolvus granites, as used by Tuttle and Bowen in 1958,TUTTLE O.F. & BOWEN N.L. (1958): Origin of granite in the light of experimental studies in the system NaAlSi3O8-KAlSi3O8-SiO2-H2O, Geological Society of America Memoirs, 74, 153 p crystallization at relatively low water pressures results in the formation of a single feldspar as opposed to subsolvus granites in which two distinct types of feldspar are present. The distinctive character of feldspar in hypersolvus granite is to present exsolution textures. That is because the high temperature feldspar was ternary (i.e. contained comparable parts of the Ca, Na, K components) and was later dissociated during the cooling phase into K-rich parts and Na-Ca-rich parts, within the initial crystal.
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Even more significant, it is logically impossible for there to be a rational progression of arrangements of the beads in step with unit increasing values of twelfths. Likewise, if each of the beads in the lower slot is assumed to have a value of 1/6 of an uncia, there is again an irregular series of values available to the user, no possible value of 1/12 and an extraneous value of 13/12. It is only by employing a value of 1/12 for each of the beads in the lower slot that all values of twelfths from 1/12 to 11/12 can be represented and in a logical ternary, binary, binary progression for the slots from bottom to top. This can be best appreciated by reference to the figure below.
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As a result, the grain size decreases with increasing TaC addition which improves the yield stress explained by Hall- Petch relationship. The formation of lamellar structure is because at elevated temperature, the decomposition reaction occurs in the MoNbRe0.5W(TaC)x composites: (Mo, Nb, W, Ta)2C → (Mo, Nb, W, Ta) + (Mo, Nb, W, Ta)C in which Re is dissolved in both components to nucleate BCC phase first and MC phase in the following, according to the phase diagrams E. Rudy, S. Windisch, C.E. Brukl, Technical Report No. AFML-TR-65-2, Part II, Ternary Phase Equilibria in Transition Metal Boron-carbon-silicon Systems, vol. XVII, 1967. In addition, the MC phase also improves the strength of composites, due to its stiffer and more elastic property compared to BCC phase Wei, Qinqin, et al.
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If we leave aside the initial and final material of the work (specifically, the Aria, the first two variations, the Quodlibet, and the aria da capo), the remaining material is arranged as follows. The variations found just after each canon are genre pieces of various types, among them three Baroque dances (4, 7, 19); a fughetta (10); a French overture (16); two ornate arias for the right hand (13, 25); and others (22, 28). The variations located two after each canon (5, 8, 11, 14, 17, 20, 23, 26, and 29) are what Kirkpatrick calls "arabesques"; they are variations in lively tempo with a great deal of hand-crossing. This ternary pattern—canon, genre piece, arabesque—is repeated a total of nine times, until the Quodlibet breaks the cycle.
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A C-relation is a ternary relation C(x;yz) that satisfies the following axioms. # \forall xyz\, [ C(x;yz)\rightarrow C(x;zy) ], # \forall xyz\, [ C(x;yz)\rightarrow eg C(y;xz) ], # \forall xyzw\, [ C(x;yz)\rightarrow (C(w;yz)\vee C(x;wz)) ], # \forall xy\, [ x eq y \rightarrow \exists z eq y\, C(x;yz) ]. A C-minimal structure is a structure M, in a signature containing the symbol C, such that C satisfies the above axioms and every set of elements of M that is definable with parameters in M is a Boolean combination of instances of C, i.e. of formulas of the form C(x;bc), where b and c are elements of M. A theory is called C-minimal if all of its models are C-minimal.
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IL-33 is a member of the IL-1 superfamily of cytokines, a determination based in part on the molecules β-trefoil structure, a conserved structure type described in other IL-1 cytokines, including IL-1α, IL-1β, IL-1Ra and IL-18. In this structure, the 12 β-strands of the β-trefoil are arranged in three pseudorepeats of four β-strand units, of which the first and last β-strands are antiparallel staves in a six-stranded β-barrel, while the second and third β-strands of each repeat form a β-hairpin sitting atop the β-barrel. IL-33 is a ligand that binds to a high-affinity receptor family member ST2. The complex of these two molecules with IL-1RAcP indicates a ternary complex formation.
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Michael Praetorius mentions it in his musical compendium Syntagma musicum and introduces it as a dance in his Terpsichore. However, there is no early dance notation and it is impossible to assess the early interaction of the folk dance and the courtly dance. Musically, the bourrée took on the common binary form of classical dance movements, sometimes extended by a second bourée, the two to be played in a grand ternary form A–(A)–B–A. Marguerite de Navarre, who was sister to the King of Sweden, introduced the dance to the French court in 1565 and it was popular until the reign of Louis XIII (1601–1643) and opened many balls, but the bourrée took some time to appear in the early ballet dance notation of the French baroque theatre.
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The zortziko is a dance rhythm that originates in the Basque Country. It is also used as an accompaniment rhythm for vocal melodies, such as "Gernikako arbola", the unofficial anthem of the Basques, composed in 1853 by José María Iparraguirre . The zortziko has a distinctive 5/8 time signature, consisting of three subdivisions of 1, 2, and 2 beats. Some theories hold that it is in 5/4 time, "like the Rueda except that the 2nd and 4th beats are almost always dotted notes" , or that it actually is a double compound meter combining an irregular binary (5/16 divided 2 + 3) and an irregular ternary (8/16 divided 2 + 3 + 3), creating an ostinato pattern of "irregular bichrome" measures, which in Constantin Brăiloiu's terminology is called an aksak rhythm .
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Four variations of the theme follow, starting with embellishment in sixteenth notes by the first violins, moving to a stormy variation in C minor with trumpets and timpani, followed by solos for the first oboist and flautist, and concluding with a sweeping and lyrical forte repeat in triplets. In the coda section, the opening notes are stated once more, this time reharmonized with gently dissonant diminished seventh chords over a tonic pedal. The third movement is a minuet and trio, in ternary form in the tonic key (G major). The tempo, allegro molto (very quickly), is of note since it marks the historical shift away from the old minuet (which was played at a slower, danceable, tempo) toward the scherzo; by his last quartets Haydn had started marking his minuets presto.
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Studies of yeast Esa1 from the MYST family of HATs have revealed a ping-pong mechanism involving conserved glutamate and cysteine residues. The first part of the reaction involves the formation of a covalent intermediate in which a cysteine residue becomes acetylated following nucleophilic attack of this residue on the carbonyl carbon of acetyl-CoA. Then, a glutamate residue acts as a general base to facilitate transfer of the acetyl group from the cysteine to the histone substrate in a manner analogous to the mechanism used by GNATs. When Esa1 is assembled in the piccolo NuA4 complex, it loses its dependence on the cysteine residue for catalysis, which suggests that the reaction may proceed via a ternary bi-bi mechanism when the enzyme is part of a physiologically relevant multiprotein complex.
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Theophilus argued in the third dialogue that the dark ternary of attraction, resistance and whirling became the ground of the “threefold materiality of earth, water and air (“an anguishing materiality”) out of which came the fourth property of nature as a “globe of fire and light” as the “true outbirth of the eternal fire”. Since this eternal fire is not a “moveable thing” and stands forever “in the midst of the seven properties” so the sun as the “true outburst of the eternal fire” is not a moveable thing and is therefore the centre and heart of the whole system, forever separating the first three properties from the three that follow, and thus changing the “three first forms of material wrath into the three last properties of the Kingdom of Heaven”.
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Within a binary scheme the player's choice was originally to play two beats each with a different stick, a single beat or none. When no beat is played on the boards, it is called "hutsunea" (rest), or it can be played once, and if the performer opts to strike all two possible beats, then it is "ttakuna", named after the two onomatopoeic sounds emitted. These choices apply currently to both players. Txalapartaris down to business Yet the binary pattern belongs to the traditional txalaparta (despite qualified remarks that point to a wider rhythmical range, see below), so when the instrument was carried from the couple of farmhouses it was confined to over to wider Basque cultural circles, the txalaparta evolved into more sophisticated rhythms and combinations, such as the ternary pattern.
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The uniform matroid U{}^r_n may be represented as the matroid of affinely independent subsets of n points in general position in r-dimensional Euclidean space, or as the matroid of linearly independent subsets of n vectors in general position in an (r+1)-dimensional real vector space. Every uniform matroid may also be realized in projective spaces and vector spaces over all sufficiently large finite fields. However, the field must be large enough to include enough independent vectors. For instance, the n-point line U{}^2_n can be realized only over finite fields of n-1 or more elements (because otherwise the projective line over that field would have fewer than n points): U{}^2_4 is not a binary matroid, U{}^2_5 is not a ternary matroid, etc.
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This is an AFM diagram, a ternary diagram showing the relative proportions of the oxides of Na2O + K2O (A), FeO + Fe2O3 (F), and MgO (M). The arrows show the path of the magmas in the tholeiitic and the calc-alkaline magma series. Rocks in the tholeiitic magma series are classified as subalkaline (they contain less sodium than some other basalts) and are distinguished from rocks in the calc-alkaline magma series by the redox state of the magma they crystallized from (tholeiitic magmas are reduced; calc-alkaline magmas are oxidized ). When the parent magmas of basalts crystallize, they preferentially crystallize the more magnesium-rich and iron-poor forms of the silicate minerals olivine and pyroxene, causing the iron content of tholeiitic magmas to increase as the melt is depleted of iron-poor crystals.
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He added that the piece should be played at the metronome marking, without rubato. ;Danse villageoise (Village dance) A minor, 2/4; Allegro risoluto (dedicated to Yvonne de Montesquieu) Danse villageoise, in a more traditional ternary form, provides a slightly heavy-footed contrast and illustrates the rustic spirit of Chabrier yet with precise polyphony (with some elements of Beethoven's Piano Sonata No. 25). The decisive scherzo is in A minor while the hesitating trio in the major. ;Improvisation B-flat major, 6/8, 2/4; Andantino – Appassionato e con impeto – molto con impeto – moderato (dedicated to Marguerite Gagne) 'Fantasque et passionnée' with the greatest variety of rhythms, the hints of methods which become common in Debussy (e.g. four dotted quavers in a bar of 6/8): the bars become at times ¾ or 2/4.
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By the time of Ars Nova, the perfect division of the tempus was not the only option as duple divisions became more accepted. For Vitry the breve could be divided, for an entire composition, or section of one, into groups of two or three smaller semibreves. This way, the tempus (the term that came to denote the division of the breve) could be either "perfect" (tempus perfectum), with ternary subdivision, or "imperfect" (tempus imperfectum), with binary subdivision. In a similar fashion, the semibreve's division (termed prolation) could be divided into three minima (prolatio perfectus or major prolation) or two minima (prolatio imperfectus or minor prolation) and, at the higher level, the longs division (called modus) could be three or two breves (modus perfectus or perfect mode, or modus imperfectus or imperfect mode respectively).
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The more sophisticated nuclear shell model is needed to mechanistically explain the route to the more energetically favorable outcome, in which one fission product is slightly smaller than the other. A theory of fission based on the shell model has been formulated by Maria Goeppert Mayer. The most common fission process is binary fission, and it produces the fission products noted above, at 95±15 and 135±15 u. However, the binary process happens merely because it is the most probable. In anywhere from 2 to 4 fissions per 1000 in a nuclear reactor, a process called ternary fission produces three positively charged fragments (plus neutrons) and the smallest of these may range from so small a charge and mass as a proton (Z = 1), to as large a fragment as argon (Z = 18).
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In these three cases the secondary star was much dimmer than the primary and so was not previously detected. This discovery resulted in a recalculation of parameters for both the planet and the primary star. Science fiction has often featured planets of binary or ternary stars as a setting, for example George Lucas' Tatooine from Star Wars, and one notable story, "Nightfall", even takes this to a six-star system. In reality, some orbital ranges are impossible for dynamical reasons (the planet would be expelled from its orbit relatively quickly, being either ejected from the system altogether or transferred to a more inner or outer orbital range), whilst other orbits present serious challenges for eventual biospheres because of likely extreme variations in surface temperature during different parts of the orbit.
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In the absence of L-histidine and divalent metal ions or both, HutP does not bind to the hut mRNA, thus allowing the formation of a stem loop terminator structure within the nucleotide sequence located between the hutP and structural genes. HutP is a 16.2 kDa protein consisting of 148 amino acid residues. HutP also exists in five other Bacillus species, including B. anthracis, B. cereus, B. halodurans, B. thuringiensis, and Geobacillus kautophilus, with 60% sequence identity. Thirumananseri Kumarevel solved the crystal structure of the HutP protein in the apo-form, binary complex (complexed with divalent metal ions or L-histidine), ternary complex (HutP-metal ions-L-histidine) and quaternary complexes (HutP-L-histidine-metal ions-RNA) and elegantly revealed the snapshots of metal-ion mediated anti- termination mechanism for the first time.
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As observed, reversing the edges of a DFA produces a non-deterministic finite automaton (NFA) for the reversal of the original language, and converting this NFA to a DFA using the standard powerset construction (constructing only the reachable states of the converted DFA) leads to a minimal DFA for the same reversed language. Repeating this reversal operation a second time produces a minimal DFA for the original language. The worst-case complexity of Brzozowski's algorithm is exponential, as there are regular languages for which the minimal DFA of the reversal is exponentially larger than the minimal DFA of the language,For instance, the language of binary strings whose th symbol is a one requires only states, but its reversal requires states. provides a ternary -state DFA whose reversal requires states, the maximum possible.
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Furthermore, the four base points determine three line pairs (degenerate conics through the base points, each line of the pair containing exactly two base points) and so each pencil of conics will contain at most three degenerate conics.. A pencil of conics can be represented algebraically in the following way. Let and be two distinct conics in a projective plane defined over an algebraically closed field . For every pair of elements of , not both zero, the expression: ::\lambda C_1 + \mu C_2 represents a conic in the pencil determined by and . This symbolic representation can be made concrete with a slight abuse of notation (using the same notation to denote the object as well as the equation defining the object.) Thinking of , say, as a ternary quadratic form, then is the equation of the "conic ".
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The second movement, entitled Purgatorio, depicts Dante and Virgil's ascent of Mount Purgatory. It is Ternary in structure. The first section is solemn and tranquil and in two parts; in the second section, which is more agitated and lamentable, a fugue is built up to a grand climax; in the final section there is a return to the mood of the opening, the principal themes of which are recapitulated. This tripartite structure reflects the architecture of Dante's Mount Purgatory, which can also be divided into three parts: the two terraces of Ante-Purgatory, where the excommunicate and the late repentant expiate their sins; the seven cornices of Mount Purgatory proper, where the Seven Deadly Sins are expiated; and the Earthly Paradise at the summit, from which the soul, now purged of sin, ascends to Paradise.
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Schreiber started his research work in organic synthesis, focusing on concepts such as the use of [2 + 2] photocycloadditions to establish stereochemistry in complex molecules, the fragmentation of hydroperoxides to produce macrolides, ancillary stereocontrol, group selectivity and two-directional synthesis. Notable accomplishments include the total syntheses of complex natural products such as talaromycin B, asteltoxin, avenaciolide, gloeosporone, hikizimicin, mycoticin A, epoxydictymene and the immunosuppressant FK-506. Following his work on the FK506-binding protein FKBP12 in 1988, Schreiber reported that the small molecules FK506 and cyclosporin inhibit the activity of the phosphatase calcineurin by forming the ternary complexes FKBP12-FK506-calcineurin and cyclophilin-ciclosporin-calcineurin. This work, together with work by Gerald Crabtree at Stanford University concerning the NFAT proteins, led to the elucidation of the calcium-calcineurin-NFAT signaling pathway.
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The clavier sonatas of Domenico Scarlatti form a separate and distinct species, written mostly in one movement, in song form, and in homophonic style. Scarlatti's sonatas represent a transitional type between the older and the Viennese sonata. In Italy, a distinction was made in older times between the sonata da chiesa (church sonata), written in fugal style, and the sonata da camera (chamber sonata) which was really a suite mixed with sonata elements, not derived from the dance. The crucial elements that led to the sonata form were the weakening of the difference between binary and ternary form; the shift of texture away from full polyphony (many voices in imitation) to homophony (a single dominant voice and supporting harmony); and the increasing reliance on juxtaposing different keys and textures.
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Intrinsic transcription terminators or Rho-independent terminators require the formation of a self-annealing hairpin structure on the elongating transcript, which results in the disruption of the mRNA-DNA-RNA polymerase ternary complex. The terminator sequence in DNA contains a 20 basepair GC-rich region of dyad symmetry followed by a short poly-A tract or "A stretch" which is transcribed to form the terminating hairpin and a 7–9 nucleotide "U tract" respectively. The mechanism of termination is hypothesized to occur through a combination of direct promotion of dissociation through allosteric effects of hairpin binding interactions with the RNA polymerase and "competitive kinetics". The hairpin formation causes RNA polymerase stalling and destabilization, leading to a greater likelihood that dissociation of the complex will occur at that location due to increased time spent paused at that site and reduced stability of the complex.
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The finale has the same structure as that of the previous sonata. Many elements of this movement imply large-scale resolution of harmonic and thematic conflicts established earlier in this and even the two previous sonatas. The main rondo theme opens with an 'empty' octave on G, which resolves to C minor, subsequently interpreted as ii in B major. Alfred Brendel asserts that this theme, beginning in the ambiguous G/Cm, functions as a resolution of the troubling G trill presented in the very beginning of the sonata, using G to resolve to F major as V of B. The second theme, in ternary form, is written in the traditional key of the dominant, with a central section in D major; it consists of an extended, characteristically Schubertian stepwise melody played over an uninterrupted flow of semiquavers.
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The tone row contains a complete ascending D harmonic minor scale and the remaining five notes are ordered so that in the inverted form they arpeggiate a jazzy added sixth chord with blue third (G, F, D, D, B). The central sonority of the work, as characteristic of Berg's later music, comprises triads separated by half an octave: F and B (in German: H) superimposed over a low D. These two letter names, H and F, are presumably a reference to Hanna Fuchs-Robettin, and the title may be a reference to her husband's wine cellar. The music of the central section of a ternary ABA structure "is a palindrome within itself," with the outer sections being through-composed.Pople (1991), pp. 17–18. Bars 112 to 140 are then heard in retrograde as bars 140 to 170.
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"Propagation", a slow-tempo ballad about being free from an otherwise oppressed society, consists of an ARP Odyssey bass, chords performed by a Dave Smith OB6, and sounds from a Yamaha DX7. The track is followed by "Vacuume", which, according to Haley deals with "being sucked into the void without regrets or remorse" and "letting go, being in the moment and working through whatever comes your way." "Ternary" a song regarding "the things that make you who you end up becoming", said Haley, and also includes more Juno-106 staccatos and the use of Eurorack for effects. The Eurorack is also used to perform synthesized brass alongside "gliding" Prophet-6 sounds and textures from the Teenage Engineering OP-1 on "Usurper", a song about the weaknesses of leaders of a society and the ability of citizens to end oppression.
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Cambridge University Press. An example is the Prelude in D, Op. 28, No. 15, (the "Raindrop Prelude") which, like the Purcell, features one repeated note throughout. The piece is in ternary form, with its serene outer "A" sections contrasting the brooding middle "B" section: Chopin, Prelude in D Major, Op. 28, No. 15, bars 24–31 Chopin, Prelude in D Major, Op. 28, No. 15, bars 24–31 In this prelude, the repeated bass A that pervades the outer section becomes, through an enharmonic change, a G in the minor key middle section, where it moves from the bass to the top part. There are other examples of piano music where a single note pervades almost the entire piece: a persistent B features in both Debussy’s piano prelude "Voiles" and "Le Gibet" from Ravel’s Gaspard de la Nuit.
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The quartet is in two movements: #Allegro energico #Vivo The first movement is regarded by one analyst as not following any conventional formal scheme, consisting instead of a series of contrasting episodes in different tempos and frequently changing meters that is similar to the Italian canzonas of the late-sixteenth and early seventeenth centuries . According to another view, it is in a ternary, ABA form, which conflicts with the expected sonata-allegro form of the traditional string quartet . The outer sections are fast, rhythmically irregular, loud, and aggressive, while the middle section contrasts with a slower tempo (Lento), regular rhythms, soft dynamics, and a lyrical, tender mood. The first section falls into four subsections (Allegro energico, Poco meno mosso – cantabile, Tempo I, and Meno mosso), each marked at the end by sustained chords, grand pauses, or both.
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However, a calc- alkaline magma is oxidized enough to precipitate significant amounts of the iron oxide magnetite, causing the iron content of the magma to remain more steady as it cools than with a tholeiitic magma. The difference between these two magma series can be seen on an AFM diagram, a ternary diagram showing the relative proportions of the oxides Na2O + K2O (A), FeO + Fe2O3 (F), and MgO (M). As magmas cool, they precipitate out significantly more iron and magnesium than alkali, causing the magmas to move towards the alkali corner as they cool. In the tholeiitic magma, magnesium-rich crystals are produced preferentially, the magnesium content of the magma plummets, causing the magma to move away from the magnesium corner until it runs low on magnesium and simply moves towards the alkali corner as it loses iron and any remaining magnesium.
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Webern's Variations may be considered any of these:Bailey 1991, 190. # A three-movement sonata: sonata form - binary scherzo - variations # A three-movement suite: ternary movement - binary movement - variations # A set of variations, in which the first two movements have little connection to the third One of the earliest explanations was offered by René Leibowitz, who in 1948 described the first movement as a theme and two variations, the second movement as a theme with a single variation, and the third movement as five variations of yet another theme. Willi Reich, a member of Arnold Schoenberg's circle, described the work as a sonatina which begins with a set of variations (first movement) and ends with a sonata form (third movement). Reich claimed his explanation was identical to Webern's and stemmed from the two men's conversations, however, the authenticity of this claim has been questioned.
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Neptunium also forms a large number of oxide compounds with a wide variety of elements, although the neptunate oxides formed with alkali metals and alkaline earth metals have been by far the most studied. Ternary neptunium oxides are generally formed by reacting NpO2 with the oxide of another element or by precipitating from an alkaline solution. Li5NpO6 has been prepared by reacting Li2O and NpO2 at 400 °C for 16 hours or by reacting Li2O2 with NpO3 · H2O at 400 °C for 16 hours in a quartz tube and flowing oxygen. Alkali neptunate compounds K3NpO5, Cs3NpO5, and Rb3NpO5 are all created by a similar reaction: :NpO2 \+ 3 MO2 → M3NpO5 (M = K, Cs, Rb) The oxide compounds KNpO4, CsNpO4, and RbNpO4 are formed by reacting Np(VII) () with a compound of the alkali metal nitrate and ozone.
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Variational forms are those in which variation is an important formative element. Theme and Variations: a theme, which in itself can be of any shorter form (binary, ternary, etc.), forms the only "section" and is repeated indefinitely (as in strophic form) but is varied each time (A,B,A,F,Z,A), so as to make a sort of sectional chain form. An important variant of this, much used in 17th-century British music and in the Passacaglia and Chaconne, was that of the ground bass—a repeating bass theme or basso ostinato over and around which the rest of the structure unfolds, often, but not always, spinning polyphonic or contrapuntal threads, or improvising divisions and descants. This is said by Scholes (1977) to be the form par excellence of unaccompanied or accompanied solo instrumental music.
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In the same spirit, a detailed attention was devoted to the relatively simple lanthanide pentakis nitrato complexes, starting from the synthesis stage continued into the instrumental and theoretical characterization. The Electron paramagnetic resonance (EPR) spectra of the pentakis nitrato ytterbate(III), [Yb(NO3)5]2− was recorded and modelled, the ligand field treatment being based also on advanced neutron spectroscopy measurements. A peculiar manifestation, discovered in the light of the developed methodologies, was the first report of level crossing in ligand field diagrams, tuned by external pressure. A systematic attention was devoted to the magnetism determined by lanthanide ions in solid compounds like the ternary oxides, CsLnO2 or Cs2MLnX6 elpasolite type systems, with various combination of (M = Na, K, Rb) alkaline metal ions and (X=F, Cl, Br) halides, for several Ln(III) rare earth cases.
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The most important early stages in the historical development of mensural notation are the works of Franco of Cologne (), Petrus de Cruce (), and Philippe de Vitry (1322). Franco, in his Ars cantus mensurabilis, was the first to describe the relations between maxima, longa and breve in terms that were independent of the fixed patterns of earlier rhythmic modes. He also refined the use of semibreves:, while in earlier music, one breve could occasionally be replaced by two semibreves, Franco described the subdivision of the breve as ternary (perfect), dividing it either into three equal or two unequal semibreves (resulting in predominantly triplet rhythmic micro- patterns.) Petrus de Cruce introduced subdivisions of the breve into even more short notes. However, he did not yet define these as separate smaller hierarchy levels (minim, semiminim etc.), but simply as variable numbers of semibreves.
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The combinatorial enumeration problem of counting Apollonian triangulations was studied by , who showed that they have the simple generating function described by the equation . In this generating function, the term of degree counts the number of Apollonian networks with a fixed outer triangle and vertices. Thus, the numbers of Apollonian networks (with a fixed outer triangle) on 3, 4, 5, ... vertices are: :1, 1, 3, 12, 55, 273, 1428, 7752, 43263, 246675, ... , a sequence that also counts ternary trees and dissections of convex polygons into odd-sided polygons. For instance, there are 12 6-vertex Apollonian networks: three formed by subdividing the outer triangle once and then subdividing two of the resulting triangles, and nine formed by subdividing the outer triangle once, subdividing one of its triangles, and then subdividing one of the resulting smaller triangles.
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E. F. Codd mentioned nulls as a method of representing missing data in the relational model in a 1975 paper in the FDT Bulletin of ACM-SIGMOD. Codd's paper that is most commonly cited in relation with the semantics of Null (as adopted in SQL) is his 1979 paper in the ACM Transactions on Database Systems, in which he also introduced his Relational Model/Tasmania, although much of the other proposals from the latter paper have remained obscure. Section 2.3 of his 1979 paper details the semantics of Null propagation in arithmetic operations as well as comparisons employing a ternary (three-valued) logic when comparing to nulls; it also details the treatment of Nulls on other set operations (the latter issue still controversial today). In database theory circles, the original proposal of Codd (1975, 1979) is now referred to as "Codd tables".
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The work is three-part ternary; however, it assumes monothematic characteristics. The first occurrence Section A comprises measures 1–19, Section B of 19–43, Section A returns from measures 43–70, and the coda is placed at measures 70–78. A right hand figuration extends over a descending quarter-note melody in the first two bars, outlining the A flat chord. This motive repeats, and then is varied in measures 5–8, in succession. From measures 9–18, the section is restated though a transient modulation to E major (at measure 15). An imperfect cadence in the tonic bridges the transitory gap in measure 18 to the B section in E flat. Measures 19–20 introduce a variant of the main motive. Now in a new key, the bass melody changes, descending chromatically in an eighth-note figure.
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When the show begins, there is no mention of Mars (with the exception of one episode in which characters are confusing them with the Martians of the radio broadcast). Though some minor details are given away to indicate that their home planet was not Mars, it is not confirmed on-screen until midway through the season that they originate from a world named Mor-Tax. With their beautiful planet becoming uninhabitable from a dying star, they invade Earth with plans to take it over to preserve the traits that it shares with their old world. Their society is highly collective with the only sense of division in the form of their ternary caste system: a high-ranking and seemingly infallible ruling class (itself divided between the supreme leadership of a Council and their Advocacy to the lower classes), a military force in the middle, and scientists relegated to the bottom.
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In the tenth edition of The Oxford Companion to Music, Percy Scholes defines musical form as "a series of strategies designed to find a successful mean between the opposite extremes of unrelieved repetition and unrelieved alteration." Examples of common forms of Western music include the fugue, the invention, sonata-allegro, canon, strophic, theme and variations, and rondo. Scholes states that European classical music had only six stand-alone forms: simple binary, simple ternary, compound binary, rondo, air with variations, and fugue (although musicologist Alfred Mann emphasized that the fugue is primarily a method of composition that has sometimes taken on certain structural conventions.) Where a piece cannot readily be broken down into sectional units (though it might borrow some form from a poem, story or programme), it is said to be through-composed. Such is often the case with a fantasia, prelude, rhapsody, etude (or study), symphonic poem, Bagatelle, impromptu, etc.
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Formally, a one-in-three 3-SAT problem is given as a generalized conjunctive normal form with all generalized clauses using a ternary operator R that is TRUE just if exactly one of its arguments is. When all literals of a one-in-three 3-SAT formula are positive, the satisfiability problem is called one-in-three positive 3-SAT. One-in-three 3-SAT, together with its positive case, is listed as NP-complete problem "LO4" in the standard reference, Computers and Intractability: A Guide to the Theory of NP-Completeness by Michael R. Garey and David S. Johnson. One-in-three 3-SAT was proved to be NP-complete by Thomas Jerome Schaefer as a special case of Schaefer's dichotomy theorem, which asserts that any problem generalizing Boolean satisfiability in a certain way is either in the class P or is NP-complete.
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Microemulsions are clear, thermodynamically stable isotropic liquid mixtures of oil, water and surfactant, frequently in combination with a cosurfactant. The aqueous phase may contain salt(s) and/or other ingredients, and the "oil" may actually be a complex mixture of different hydrocarbons and olefins. In contrast to ordinary emulsions, microemulsions form upon simple mixing of the components and do not require the high shear conditions generally used in the formation of ordinary emulsions. The three basic types of microemulsions are direct (oil dispersed in water, o/w), reversed (water dispersed in oil, w/o) and bicontinuous. In ternary systems such as microemulsions, where two immiscible phases (water and ‘oil’) are present with a surfactant, the surfactant molecules may form a monolayer at the interface between the oil and water, with the hydrophobic tails of the surfactant molecules dissolved in the oil phase and the hydrophilic head groups in the aqueous phase.
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In 2013 SE undertook an 11-date tour of the USA, performing in halls including Walt Disney Hall and New York Town Hall. Scottish Ensemble delivers performances from more traditional classical concerts, in venues across the UK, Scotland and the world, to adventurous productions which combine classical music with other art forms, including theatre, visual art and contemporary dance. Since 2014, the group have presented one major cross art form project a year. In 2014, Scottish Ensemble collaborated with visual artist Toby Paterson to create 20th-Century Perspectives: City Spaces and Strings, a site-specific performance designed for a previously-derelict modernist landmark in Glasgow, which combined 20th- century architecture, visual art and music. In 2015, Scottish Ensemble worked with Swedish contemporary dance company Andersson Dance to present Goldberg Variations - ternary patterns for insomnia, a 21st-century interpretation of Bach’s masterpiece in which musicians are choreographed on stage alongside dancers.
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The study of such ternary systems, together with analysis of trace elements is useful to archaeologists for establishing the provenance of glass. In pre-Medieval times it is believed that the batch of raw materials was heated to a temperature where it partially melted, the unmelted parts removed and washed of non-reactive components, and added to the next batch. Because of the strong way that the Si/Na/Ca compositions affect the melting temperature, the resulting glass was of a fairly uniform composition regardless of the recipe of raw materials used. The melting temperatures of the Si/K/Ca glasses are not so strongly affected by composition, resulting in glasses of more varied composition, so the self-limiting features of the Na system that allowed the traditional partial-batch method to produce consistent compositions, ceased to apply, and a new way of controlling consistency had to be developed.
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However, multiracial identities were further stratified, with the order of desirability being as follows: mamelincos (European and Native American), mulatto (European with either Native American or African), and catusos (Native American and African); wherein mamelincos and mulatto identities had more opportunities for mobility than those of catusos heritage. Further effects of the ternary system are seen in how Brazilian slave holders incorporated the population of Freed Coloreds, typically mulattos, as enforcers of the racial hierarchy. By buying into the enforcement of the status quo, multiracial individuals were emplacing themselves in this system—both as superior to black Brazilians and complacent as second-class citizens to white Brazilians. This is further explained through the “mulatto escape hatch”, wherein individuals who were visibility of mixed heritage would be granted situational permission to identify as white due to their talents and assets such as education level or learned skills.
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At GSI published his work on Coulomb and shell effects in low energy fission.,Modesto Montoya, "Shell and coulomb effects in thermal neutron induced cold fission of U-233, U-235, and Pu-239", Radiation Effects and Defects in Solids, Volume 93, Issue 1–4 March 1986, pages 9 – 12 M. Montoya et al., "Coulomb effects in low energy fission" Zeitschrift für Physik A, Springer Berlin / Heidelberg, Vol 325, No 3/September 1986, , pp. 357–362 As guest scientist at the Institut de Physique Nucléaire, Orsay, in the Bernard Borderie's group, he participated in research on deeply inelastic collisions. B. Borderie et al.. "Deeply inelastic collisions as a source of intermediate mass fragments at E/A=27 MeV", Physics Letters B, Vol. 205 (1988), pp. 26–29 He was also invited by the Carnegie- Mellon Institute in the Morton Kaplan group dedicated to ternary fragmentations in nuclear collisions.
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The prelude is in ternary form. The theme of the main section is introduced in measure 3: 200px Measure 3 The theme is in the form of a period, composed of two symmetrical phrases, the consequent being a more embellished version of the antecedent, presenting a triplet descant in the treble voice above the main theme in the right-hand alto voice. The right-hand voices are offset against an eighth-note figure in the left-hand: 200px Measure 19 The middle section presents rhythmic changes and several modulations. Triplets appear in the accompaniment, and shorter phrasing is utilized: 200px Measures 35 and 36 The piece reaches its climax at measures 50–51, and immediately resolves back into the main section: 300px Measures 50 and 51 Here, the triplet flow returns to the left-hand bass line, while a high counterpoint is introduced in the main melody.
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Comparison of Bach's Prelude No. 1 in C major (BWV 846) with Chopin's Étude Op. 10, No. 1 The étude, like all études by Chopin, is in ternary form (A–B–A), recapitulating the first part. The first part of the middle section introduces chromaticism in the left hand octave melody while the second one modulates to the C major recapitulation via an extended circle of fifths. James Huneker states that Chopin wished to begin the "exposition of his wonderful technical system" with a "skeletonized statement" and compares the étude to a "tree stripped of its bark." Excerpt of harmonic reduction (bars 41–49: circle of fifths leading to recapitulation) after Carl Czerny Its harmonies resemble a chorale and its relationship to Bach's Prelude No. 1 in C major (BWV 846) from The Well-Tempered Clavier has been noted by musicologist Hugo Leichtentritt (1874–1951), among others.
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Figure 1:Overview over the functions of GCN2. (GCN1/GCN20=GCN1p/GCN20p binding site; PsiKD = unknown function; KD = Kinase Domain; HisRS = histidyl-tRNA synthetase) Adapted from GCN2 inhibits general translation by phosphorylation of eIF-2α at serine 51 within 15 min of amino acid deprivation, which then subsequently increases the affinity for the guanine exchange factor eIF2B to sequester eIF-2α leading to reduced formation of the ternary complex (TC) consisting of eIF2, GTP and the initiator Met-tRNA required for translation initiation. eIF2 containing a phosphorylated alpha subunit shows an increased affinity for its only GEF, eIF2B, but eIF2B is only able to exchange GDP with GTP from unphosphorylated eIF2. So the recycling of eIF2, needed for TC formation, is inhibited by phosphorylation of eIF-2α, which in the end leads to a reduction of global translation rates. An opposing effect of the reduced availability of TC is the induction of GCN4 expression by translational regulation.
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Mecasermin () (brand name Increlex), also known as recombinant human insulin- like growth factor-1 (rhIGF-1), is a recombinant form of human insulin-like growth factor 1 (IGF-I) which is used in the long-term treatment of growth failure and short stature in children with severe primary IGF-I deficiency, for instance due to growth hormone deficiency or Laron syndrome (growth hormone insensitivity). Mecasermin has a biological half-life of about 5.8 hours in children with severe primary IGF-1 deficiency. A related medication is mecasermin rinfabate (brand name Iplex), which is a combination of mecasermin (rhIGF-1), insulin-like growth factor binding protein-3 (IGFBP-3), and insulin-like growth factor binding protein acid labile subunit (IGFALS) as a ternary complex. The complex serves to prolong the action of mecasermin in the human body; the half-life of mecasermin when provided as this complex is 13.4 hours in individuals with severe primary IGF-1 deficiency.
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Charles Rosen believes that the work as whole fulfils his criterion for a sonata form. Moreover, within the one long sonata form, there exists a short sonata form, followed by a slow ternary, followed by a scherzo and fugue, followed by a finale. Thus, the single movement fulfills the standard of both a classical sonata form and a classical four movement piano sonata. There are several other composers attributed to using double-function forms. It is largely accepted that Schubert’s Wanderer Fantasy (1822) for piano is the first widely heard piece that demonstrates this form. Arnold Schoenberg’s first Chamber Symphony (1906) is an example of a major work that fulfills the criterion of a double-function form; this piece was modeled after Beethoven’s string quartet in C-sharp minor (#14), which consists of seven connected movements (these however do not combine to create a clear larger form, and thus the quartet is not an example of double-function form).
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Within the erythrocyte it interacts with band 4.1 (an 80-kDa protein) and p55 (a palmitoylated peripheral membrane phosphoprotein and a member of the membrane-associated guanylate kinase family) to form a ternary complex that is critical for the shape and stability of erythrocytes. The major attachment sites between the erythrocyte spectrin- actin cytoskeleton and the lipid bilayer are glycophorin C and band 3. The interaction with band 4.1 and p55 is mediated by the N terminal 30 kD domain of band 4.1 binding to a 16 amino acid segment (residues 82-98: residues 61-77 of glycophorin D) within the cytoplasmic domain of glycophorin C and to a positively charged 39 amino acid motif in p55. The majority of protein 4.1 is bound to glycophorin C. The magnitude of the strength of the interaction between glycophorin C and band 4.1 has been estimated to be 6.9 microNewtons per meter, a figure typical of protein-protein interactions.
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Until July 2018, Liang has published 239 papers and 38 reviews/book chapters. Robust research in the field of biochemistry and structural biology has been going on the Liang Tong lab, and Liang is a dedicated and productive protein crystallographer. He participated or lead the solving of the structures of proteins and protein complexes including, but not limited to, the heterotrimer core of Saccharomyces cerevisiae AMPK homologue SNF1, 5’-3’ exoribonuclease Rat1 and its activating partner Rai1, the a6b6 holoenzyme of propionyl- coenzyme A carboxylase, human symplekin-Ssu72-CTD phosphopeptide complex, histone mRNA stem-loop,human stem-loop binding protein and 3’hExo ternary complex, human phosphofructokinase-1, and the 500-kDa yeast acetyl-CoA carboxylase holoenzyme dimer using X-ray crystallography. In addition to structural studies, Liang also contributed to the understanding of the biological mechanisms and macro molecule interactions by combining a variety of biochemical and molecular biology approaches with structural analysis.
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In Liber XXVII are 27 three- line diagrams known as 'trigrams', which are composed of a solid line representing yang, a broken line representing the yin, and a point representing Tao. Crowley later attributed the 26 letters of the English alphabet to these trigrams, in an attempt to fulfill an injunction found in his earlier work Liber AL vel Legis, The Book of the Law, verse 2:55 which states: "Thou shalt obtain the order & value of the English Alphabet, thou shalt find new symbols to attribute them unto." By attributing the English alphabet to the trigrams in his later work, Crowley considered this verse to be fulfilled, as noted in his 'Old Comment' to The Book of the Law. TQ is an extension of Crowley's work with Liber Trigrammaton. By considering the numerical value of the 27 trigrams as expressions in ternary (base 3), and then transferring those values to the letters attributed by Crowley to the trigrams, a system of English gematria is created.
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Gaviria began his judicial career the same year he graduated from university in 1961 when he was appointed Municipal Promiscuous Judge of Rionegro, but he returned to Medellín when he was named Professor at the University of Antioquia. In 1992 Gaviria was nominated as part of the Council of State's ternary list presented to the Senate as part of the election process for new members of the Constitutional Court, a High Court of the Judicial Branch of Colombia recently created by the Colombian Constitution of 1991. Gaviria was successfully confirmed by the Senate, and took office on 1 March 1993 as part of the first permanent Constitutional Court for a constitutional term of 8 years. On 1 March 1996 Gaviria was elected Chief Magistrate of the Constitutional Court, replacing José Gregorio Hernández Galindo from 1 March 1996 to 1 March 2001, when Gaviria finished his term as Magistrate in the court, and was replaced by Alfredo Beltrán Sierra as Chief Magistrate.
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Content processors are sometimes confused with network processors that inspect the packet payload of an IP packet travelling through a computer network. These components allow for the design and deployment of next-generation networking systems that can make packet or message processing decisions based on an awareness of the packet or message content. The work of Content Processors is often termed Content Processing or Deep Packet Inspection, DPI, though some people feel that the expression DPI is too limiting as many Content Processors can modify and re-write content on the fly - therefore they can do much more than just inspect which implies a sort of monitoring only function. Unlike knowledge based processors or Ternary Content-addressable memory (TCAMS), which mainly target the packet header (twenty percent of the packet currently comprises the header), content processors go much further into the packet or message thereby determining the nature of the content in the packet itself (80% of the packet currently is data).
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Despite these limitations, comparison sorts offer the notable practical advantage that control over the comparison function allows sorting of many different datatypes and fine control over how the list is sorted. For example, reversing the result of the comparison function allows the list to be sorted in reverse; and one can sort a list of tuples in lexicographic order by just creating a comparison function that compares each part in sequence: function tupleCompare((lefta, leftb, leftc), (righta, rightb, rightc)) if lefta ≠ righta return compare(lefta, righta) else if leftb ≠ rightb return compare(leftb, rightb) else return compare(leftc, rightc) Balanced ternary notation allows comparisons to be made in one step, whose result will be one of "less than", "greater than" or "equal to". Comparison sorts generally adapt more easily to complex orders such as the order of floating-point numbers. Additionally, once a comparison function is written, any comparison sort can be used without modification; non- comparison sorts typically require specialized versions for each datatype.
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More dated phrase structures analyses are, however, more likely to allow n-ary branching, that is, each greater constituent can be broken down into one, two, or more lesser constituents. The next two trees illustrate the distinction (Aux = auxiliary verb, AuxP = auxiliary verb phrase, Aux' = Aux-bar, D = determiner, N = noun, NP = noun phrase, P = preposition, PP = prepositional phrase, Pa = particle, S = sentence, t = trace, V = Verb, V' = verb-bar, VP = verb phrase): 500px The details in the second diagram here not crucial to the point at hand. This point is that the all branching there is strictly binary, whereas in the first tree diagram ternary branching is present twice, for the AuxP and for the VP. Observe in this regard that strictly binary branching analyses increase the number of (overt) constituents to what is possible. The word combinations have sent many things to us and many things to us are shown as constituents in the second tree diagram but not in the first.
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The recursive subdivision of triangles into three smaller triangles was investigated as an image segmentation technique in computer vision by ; in this context, they called it the ternary scalene triangle decomposition. They observed that, by placing each new vertex at the centroid of its enclosing triangle, the triangulation could be chosen in such a way that all triangles have equal areas, although they do not all have the same shape. More generally, Apollonian networks may be drawn in the plane with any prescribed area in each face; if the areas are rational numbers, so are all of the vertex coordinates.. It is also possible to carry out the process of subdividing a triangle to form an Apollonian network in such a way that, at every step, the edge lengths are rational numbers; it is an open problem whether every planar graph has a drawing with this property.For subdividing a triangle with rational side lengths so that the smaller triangles also have rational side lengths, see .
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Each of the three movements of this sonata shares common motivic ideas or thematic materials from the principal motif of Brahms's two songs "Regenlied" and "Nachklang", Op. 59, and this is why this sonata is also called the "Rain Sonata" (Regen-Sonate). The first movement, Vivace ma non troppo is written in sonata form in G major; the second movement, Adagio – Più andante – Adagio, is an expanded ternary form in E major, and the third movement, Allegro molto moderato is a rondo in G minor with coda in G major. The dotted rhythm motif from the two songs is not only directly quoted as a leading theme in the third movement of this sonata but also constantly appearing as fragmented rhythmic motif throughout the all three movements of the sonata so that the entire sonata has a certain coherency. The rhythm of the rain motif appearing in the middle section of the second movement is adapted to a funeral march.
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The 256-element free Boolean algebra on three generators is deployed in computer displays based on raster graphics, which use bit blit to manipulate whole regions consisting of pixels, relying on Boolean operations to specify how the source region should be combined with the destination, typically with the help of a third region called the mask. Modern video cards offer all 223 = 256 ternary operations for this purpose, with the choice of operation being a one-byte (8-bit) parameter. The constants SRC = 0xaa or 10101010, DST = 0xcc or 11001100, and MSK = 0xf0 or 11110000 allow Boolean operations such as (SRC^DST)&MSK; (meaning XOR the source and destination and then AND the result with the mask) to be written directly as a constant denoting a byte calculated at compile time, 0x60 in the (SRC^DST)&MSK; example, 0x66 if just SRC^DST, etc. At run time the video card interprets the byte as the raster operation indicated by the original expression in a uniform way that requires remarkably little hardware and which takes time completely independent of the complexity of the expression.
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The process of initiation of translation in eukaryotes with eIF2 in light-green. Other factors are shown, too. eIF2 is an essential factor for protein synthesis that forms a ternary complex (TC) with GTP and the initiator Met- tRNAiMet. After its formation, the TC binds the 40S ribosomal subunit to form the 43S preinitiation complex (43S PIC). 43S PIC assembly is believed to be stimulated by the initiation factors eIF1, eIF1A, and the eIF3 complex according to in vitro experiments. The 43S PIC then binds mRNA that has previously been unwound by the eIF4F complex. The 43S PIC and the eIF4F proteins form a new 48S complex on the mRNA, which starts searching along the mRNA for the start codon (AUG). Upon base pairing of the AUG-codon with the Met-tRNA, eIF5 (which is a GTPase-activating protein , or GAP) is recruited to the complex and induces eIF2 to hydrolyse its GTP. This causes eIF2-GDP to be released from this 48S complex and translation begins after recruitment of the 60S ribosomal sub-unit and formation of the 80S initiation complex.
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Aside from Nicolescu's personal library it has been claimed that access to these and several other texts are otherwise unavailable. A complete understanding of, for example, Lupasco’s analysis of those precursors that André Glucksmann has called “Les Maîtres Penseurs” – Kant, Hegel, Schopenhauer and Marx – must be sought in several different books. The attention of the reader is rewarded, however, by Lupasco’s regular restatements of his basic theses, often in a way that is more economic, meaningful and coherent. In his introduction to Lupasco’s The Principle of Antagonism and the Logic of Energy, Nicolescu points out that once the reader gets beyond the (relatively few) mathematical formulas in this book, Lupasco’s language is perfectly accessible. “It exemplifies, in a self-referential manner, the ternary aspects of actualization, potentialization and included middle which give it the charm and the privilege of incantations that are at the same time scientific, philosophical and poetic.” Summarizing briefly, stimulated by Albert Einstein's works and quantum theory, Lupasco founded a new logic, questioning the tertium non datur principle of classical logic.
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Thus, almost no metallurgical information existed about steel until 1860. Because of this lack of understanding, steel was not generally considered an alloy until the decades between 1930 and 1970 (primarily due to the work of scientists like William Chandler Roberts-Austen, Adolf Martens, and Edgar Bain), so "alloy steel" became the popular term for ternary and quaternary steel-alloys.Sheffield Steel and America: A Century of Commercial and Technological Independence By Geoffrey Tweedale – Cambridge University Press 1987 Page 57—62Experimental Techniques in Materials and Mechanics By C. Suryanarayana – CRC Press 2011 p. 202 After Benjamin Huntsman developed his crucible steel in 1740, he began experimenting with the addition of elements like manganese (in the form of a high-manganese pig-iron called spiegeleisen), which helped remove impurities such as phosphorus and oxygen; a process adopted by Bessemer and still used in modern steels (albeit in concentrations low enough to still be considered carbon steel).Tool Steels, 5th Edition By George Adam Roberts, Richard Kennedy, G. Krauss – ASM International 1998 p.
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Ga2S3 can prepared by reacting the elements at high temperature or as a white solid by heating Ga in a stream of H2S at high temperature (950 °C). It may also prepared by a solid state reaction of GaCl3 and Na2S. The method of production can determine the polymorphic form produced, the reaction of Ga(OH)3 with H2S at different temperatures is reported to produce a different polymorph depending on the temperature, α- 1020 K, β- 820 K and γ- above 873 K Semiconductors: Data Handbook 3d Ed., Otfried Madelung, Springer, 2004, Ga2S3 disproportionates at high temperature forming the non-stoichiometric sulfide, Ga4Sx (4.8 < x < 5.2) Ga2S3 dissolves in aqueous acids and decomposes slowly in moist air forming H2S. Ga2S3 dissolves in aqueous solutions of potassium sulfide, K2S to form K8Ga4S10 containing the (Ga4S10)8− anion which has an adamantane, molecular P4O10 structure. Ternary sulfides MIGaS2, MIIGa2S4 and MIIIGaS3 respectively have been of interest due to their unusual electrical properties and some of these can be prepared by reactions of Ga2S3 with metal sulfides e.g.
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By 1686, he had definitely established the "Italian overture" form (second edition of Dal male il bene), and had abandoned the ground bass and the binary form air in two stanzas in favour of the ternary form or da capo type of air. His best operas of this period are La Rosaura (1690, printed by the Gesellschaft für Musikforschung), and Pirro e Demetrio (1694), in which occur the arias "Le Violette", and "Ben ti sta, traditor". From about 1697 onwards (La caduta del Decemviri), influenced partly perhaps by the style of Giovanni Bononcini and probably more by the taste of the viceregal court, his opera arias become more conventional and commonplace in rhythm, while his scoring is hasty and crude, yet not without brilliance (L'Eraclea, 1700), the oboes and trumpets being frequently used, and the violins often playing in unison. The operas composed for Ferdinando de' Medici are lost; they might have given a more favourable idea of his style as his correspondence with the prince shows that they were composed with a very sincere sense of inspiration.
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A planar ternary ring is a structure (R,T) where R is a set containing at least two distinct elements, called 0 and 1, and T\colon R^3\to R \, is a mapping which satisfies these five axioms: # T(a,0,b)=T(0,a,b)=b,\quad \forall a,b \in R; # T(1,a,0)=T(a,1,0)=a,\quad \forall a \in R; # \forall a,b,c,d \in R, a eq c, there is a unique x\in R such that : T(x,a,b)=T(x,c,d) \,; # \forall a,b,c \in R, there is a unique x \in R, such that T(a,b,x)=c \,; and # \forall a,b,c,d \in R, a eq c, the equations T(a,x,y)=b,T(c,x,y)=d \, have a unique solution (x,y)\in R^2. When R is finite, the third and fifth axioms are equivalent in the presence of the fourth. No other pair (0', 1') in R^2 can be found such that T still satisfies the first two axioms.
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Cuban rural landscape In a similar way as the first Spanish song-dances spread from the cities to the countryside, also the characteristics of the Cuban Guaracha, that enjoyed great popularity in Havana, began to spread to the rural areas in an undetermined time during the 19th century. This process was not difficult at all if one considers how close one to the other were the urban and the rural areas in Cuba at that time. That was why the Cuban peasants (guajiros) began to include in their parties called "guateques" or "changüís", and in feasts such as the "fiestas patronales" (patron saint celebrations) and the "parrandas", some Rumbitas (little rumbas) that were very similar to the urban Guarachas, which binary meter contrasted with the ternary beat of their traditional "tonadas" and "zapateos". Those little rural rumbas have been called by renowned musicologist Danilo Orozco "proto-sones", "soncitos primigenios", "rumbitas", "nengones"or "marchitas," and some of them, such as: Caringa, Papalote, Doña Joaquina, Anda Pepe and the Tingotalango have been preserved until the present time.
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618 ; tempo di valzer : Waltz tempo ; tempo giusto : In strict time ; tempo primo, tempo uno, or tempo I (sometimes tempo I° or tempo 1ero) : Resume the original speed ; tempo rubato : "Stolen time"; an expressive way of performing a rhythm; see rubato ; ten. : See tenuto ; teneramente; tendre or tendrement (Fr.): Tenderly ; tenerezza : Tenderness ; tenor : The second lowest of the standard four voice ranges (bass, tenor, alto, soprano) ; tenuto : Held (i.e. touch on a note slightly longer than usual, but without generally altering the note's value) ; ternary : Having three parts. In particular, referring to a three-part musical form with the parts represented by letters: ABA ; tessitura : The 'best' or most comfortable pitch range, generally used to identify the most prominent / common vocal range within a piece of music ; tierce de Picardie (Fr.): See Picardy third ; timbre : The quality of a musical tone that distinguishes voices and instruments ; time : In a jazz or rock score, after a rubato or rallentendo section, the term "time" indicates that performers should return to tempo (this is equivalent to the term "a tempo") ; tosto : Immediately ; tranquillo : Calm, peaceful ; trattenuto (tratt.): Held back with a sustained tone, similar to ritardando ; (tc) : Three strings (i.e.
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These failed cases will always contain a repetition of digits (possibly several). The first values of p for which this formula produces cyclic numbers in decimal (b = 10) are :7, 17, 19, 23, 29, 47, 59, 61, 97, 109, 113, 131, 149, 167, 179, 181, 193, 223, 229, 233, 257, 263, 269, 313, 337, 367, 379, 383, 389, 419, 433, 461, 487, 491, 499, 503, 509, 541, 571, 577, 593, 619, 647, 659, 701, 709, 727, 743, 811, 821, 823, 857, 863, 887, 937, 941, 953, 971, 977, 983, ... For b = 12 (duodecimal), these ps are :5, 7, 17, 31, 41, 43, 53, 67, 101, 103, 113, 127, 137, 139, 149, 151, 163, 173, 197, 223, 257, 269, 281, 283, 293, 317, 353, 367, 379, 389, 401, 449, 461, 509, 523, 547, 557, 569, 571, 593, 607, 617, 619, 631, 641, 653, 691, 701, 739, 751, 761, 773, 787, 797, 809, 821, 857, 881, 929, 953, 967, 977, 991, ... For b = 2 (binary), these ps are :3, 5, 11, 13, 19, 29, 37, 53, 59, 61, 67, 83, 101, 107, 131, 139, 149, 163, 173, 179, 181, 197, 211, 227, 269, 293, 317, 347, 349, 373, 379, 389, 419, 421, 443, 461, 467, 491, 509, 523, 541, 547, 557, 563, 587, 613, 619, 653, 659, 661, 677, 701, 709, 757, 773, 787, 797, 821, 827, 829, 853, 859, 877, 883, 907, 941, 947, ... For b = 3 (ternary), these ps are :2, 5, 7, 17, 19, 29, 31, 43, 53, 79, 89, 101, 113, 127, 137, 139, 149, 163, 173, 197, 199, 211, 223, 233, 257, 269, 281, 283, 293, 317, 331, 353, 379, 389, 401, 449, 461, 463, 487, 509, 521, 557, 569, 571, 593, 607, 617, 631, 641, 653, 677, 691, 701, 739, 751, 773, 797, 809, 811, 821, 823, 857, 859, 881, 907, 929, 941, 953, 977, ... There are no such ps in the hexadecimal system. The known pattern to this sequence comes from algebraic number theory, specifically, this sequence is the set of primes p such that b is a primitive root modulo p. A conjecture of Emil Artin is that this sequence contains 37.395..% of the primes (for b in ).
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