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"discreteness" Definitions
  1. the quality of being independent of other things of the same type

44 Sentences With "discreteness"

How to use discreteness in a sentence? Find typical usage patterns (collocations)/phrases/context for "discreteness" and check conjugation/comparative form for "discreteness". Mastering all the usages of "discreteness" from sentence examples published by news publications.

For 9 Evenings, Rainer created Carriage Discreteness, which included a young Meredith Monk and the artist Carl Andre.
Partially it's the crunchier beats courtesy of Q-Tip (their usual DJ, Ali Shaheed Muhammad, was unavailable), shifting the previous formula's emphasis on horn and especially bass over to variously textured keyboards and electronic effects; partially it's the discreteness of each hook; partially it's the widened sonic range, which demands deliberate sequencing.
The other moment, that of Repulsion, is also retained in Quantity as Discreteness. Discreteness is the expansion of the self-sameness of the Ones into Continuity. What the unity of Continuity and Discreteness, i.e., Quantity, results in is a continual outpouring of something out of itself, a perennial self-production.
Vertical movement allows for vibrations from vehicular movement to transfer smoothly between spans without much discreteness.
Once time has done its task, only nothingness remains.García Morales. pp.282, 290. “Never had Cuban poetry reached so far into desperation with such discreteness and solitude.”Brull. Obras. ed.
Quantum excitation is the effect in circular accelerators or storage rings whereby the discreteness of photon emission causes the charged particles (typically electrons) to undergo a random walk or diffusion process.
However, it is not at all clear if these same meaning distinctions are applicable in computational applications, as the decisions of lexicographers are usually driven by other considerations. In 2009, a task – named lexical substitution – was proposed as a possible solution to the sense discreteness problem. The task consists of providing a substitute for a word in context that preserves the meaning of the original word (potentially, substitutes can be chosen from the full lexicon of the target language, thus overcoming discreteness).
Set theory in the flavor of Errett Bishop's constructivist school mirrors that of Myhill, but is set up in a way that sets come equipped with relations that govern their discreteness. Commonly, Dependent Choice is adopted.
Ekman was #59. Ekman conducted seminal research on the specific biological correlations of specific emotions, attempting to demonstrate the universality and discreteness of emotions in a Darwinian approach."Facial expression of emotion". In V.S. Ramachandran (Ed.), Encyclopedia of Human Behavior (Vol.
One can also define the concept of discreteness for signed measures. Then, instead of conditions 2 and 3 above one should ask that u be zero on all measurable subsets of S and \mu be zero on measurable subsets of X\backslash S.
For complex bilevel problems, classical methods fail due to difficulties like non-linearity, discreteness, non- differentiability, non-convexity etc. In such situations, evolutionary methods, though computationally demanding, could be an alternative tool to offset some of these difficulties and lead to an approximate optimal solution.
Zavala became known for wearing rebozos, a traditional shawl. Her austere personality during her time as First Lady was contrasted with the frequently outspoken Marta Sahagún. Zavala's political discreteness was seen as intentional to avoid the scrutiny Sahagún received for her prominence in the Fox administration.
Due largely to discreteness in prices, high frequency data are temporally dependent. The spread forced by small tick differences in buying and selling prices creates a trend that pushes the price in a particular direction. Similarly, the duration and transaction rates between trades tend to cluster, denoting dependence on the temporal changes of price.
It is a simple system that in no way reflects how sovereign bonds > function at a technical, legal level, but it does reflect how they are > wielded by finance capitalists as a kind of tool or weapon against their > peers (and also the rest of the world).Alter, Seth. "The Discreteness of > Video Games (and sarcasm)". Subaltern Games. 29 February 2012.
270; Google Books. Evidence of absence was, of course, seen as problematic to establish. Gottfried Leibniz in his Protogaea produced arguments against identification of a species via morphology, without evidence of descent (having in mind a characterisation of humans by possession of reason); and against the discreteness of species and their extinction.Justin E. H. Smith, Divine Machines: Leibniz and the Sciences of Life (2011), p.
For example, a silicon nanowire, whose width is about five nanometers, contains just 10 – 12 atoms across its width. Another example is graphene and many new two-dimensional (2D) solids. These new materials are ultimate in thinness because they are just one or two atoms thick. Multiscale modeling is needed for such materials because their properties are determined by the discreteness of their atomistic arrangements as well as their overall dimensions.
In financial analysis, high frequency data can be organized in differing time scales from minutes to years. As high frequency data comes in a largely dis- aggregated form over a time-series compared to lower frequency methods of data collection, it contains various unique characteristics that alter the way the data are understood and analyzed. Robert Fry Engle III categorizes these distinct characteristics as irregular temporal spacing, discreteness, diurnal patterns, and temporal dependence.R. Russell, Jeffrey & F. Engle, Robert. (2010).
The discreteness condition means that there is some positive real number ε, such that for every translation Tv in the group, the vector v has length at least ε (except of course in the case that v is the zero vector, but the independent translations condition prevents this, since any set that contains the zero vector is linearly dependent by definition and thus disallowed). The purpose of this condition is to ensure that the group has a compact fundamental domain, or in other words, a "cell" of nonzero, finite area, which is repeated through the plane. Without this condition, we might have for example a group containing the translation Tx for every rational number x, which would not correspond to any reasonable wallpaper pattern. One important and nontrivial consequence of the discreteness condition in combination with the independent translations condition is that the group can only contain rotations of order 2, 3, 4, or 6; that is, every rotation in the group must be a rotation by 180°, 120°, 90°, or 60°.
The stark contrast between the sharp contour of an angle and the round curvature of a circle make it easier to learn. Similar to themes, labels are also important to learned categorical perception. Labels are “noun-like” titles that can encourage categorical processing with a focus on similarities. The strength of a label can be determined by three factors: analysis of affective (or emotional) strength, permeability (the ability to break through) of boundaries, and a judgment (measurement of rigidity) of discreteness.
Racial naturalism is the view that racial classifications are grounded in objective patterns of genetic similarities and differences. Proponents of this view have justified it using the scientific evidence described above. However, this view is controversial and philosophers of race have put forward four main objections to it. Semantic objections, such as the discreteness objection, argue that the human populations picked out in population-genetic research are not races and do not correspond to what "race" means in the United States.
In 1994, Rovelli and Smolin showed that the quantum operators of the theory associated to area and volume have a discrete spectrum.Carlo Rovelli, Lee Smolin, "Discreteness of area and volume in quantum gravity" (1994): arXiv:gr-qc/9411005. Work on the semi-classical limit, the continuum limit, and dynamics was intense after this, but progress was slower. On the semi-classical limit front, the goal is to obtain and study analogues of the harmonic oscillator coherent states (candidates are known as weave states).
Here is a demonstration of how large quantum numbers can give rise to classical (continuous) behavior. Consider the one-dimensional quantum harmonic oscillator. Quantum mechanics tells us that the total (kinetic and potential) energy of the oscillator, , has a set of discrete values, :E=(n+1/2)\hbar \omega, \ n=0, 1, 2, 3, \dots ~ , where is the angular frequency of the oscillator. However, in a classical harmonic oscillator such as a lead ball attached to the end of a spring, we do not perceive any discreteness.
In the preceding section the excitations of the FK model were derived by considering the model in a continuum-limit approximation. Since the properties of kinks are only modified slightly by the discreteness of the primary model, the SG equation can adequately describe most features and dynamics of the system. The discrete lattice does, however, influence the kink motion in a unique way with the existence of the Peierls–Nabarro (PN) potential V_{PN}(X). Here, X is the position of the kink's center.
The description of a system's state as a point in its phase space, although mathematically convenient, is thought to be fundamentally inaccurate. In quantum mechanics, the motion degrees of freedom are superseded with the concept of wave function, and operators which correspond to other degrees of freedom have discrete spectra. For example, intrinsic angular momentum operator (which corresponds to the rotational freedom) for an electron or photon has only two eigenvalues. This discreteness becomes apparent when action has an order of magnitude of the Planck constant, and individual degrees of freedom can be distinguished.
High frequency data largely incorporates pricing and transactions, of which institutional rules prevent from drastically rising or falling within a short period of time. This results in data changes based on the measure of one tick. This lessened ability to fluctuate makes the data more discrete in its use, such as in stock market exchange, where popular stocks tend to stay within 5 ticks of movement. Due to the level of discreteness of high frequency data, there tends to be high level of kurtosis present in the set.
So, for example, when the symmetry group is a Lie group, then the charge operators correspond to the simple roots of the root system of the Lie algebra; the discreteness of the root system accounting for the quantization of the charge. The simple roots are used, as all the other roots can be obtained as linear combinations of these. The general roots are often called raising and lowering operators, or ladder operators. The charge quantum numbers then correspond to the weights of the highest-weight modules of a given representation of the Lie algebra.
Among all closed manifolds with non-positive sectional curvature, flat manifolds are characterized as precisely those with an amenable fundamental group. This is a consequence of the Adams-Ballmann theorem (1998), which establishes this characterization in the much more general setting of discrete cocompact groups of isometries of Hadamard spaces. This provides a far-reaching generalisation of Bieberbach's theorem. The discreteness assumption is essential in the Adams-Ballmann theorem: otherwise, the classification must include symmetric spaces, Bruhat-Tits buildings and Bass-Serre trees in view of the "indiscrete" Bieberbach theorem of Caprace-Monod.
Martin Dixon, Robert McCorquodale & Sarah Williams) (quoting Warbrick), p. 109. The traditional rule in favor of secrecy of negotiations is in tension with values of transparency: Anne Peters writes that "the growing significance of multilateral treaties as global ... instruments invites a readjustment of the relative weight accorded to the values of discreteness and confidentiality of diplomatic treaty negotiations ... on one hand, and the interests of third parties and the global public on the other hand."Anne Peters, "Dual Democracy" in "The Constitutionalization of International Law" (Oxford University Press, 2009: eds. Jan Klabbers, Anne Peters, Geir Ulfstein), p. 328.
At the extreme, the piling on of such countable interventions amounts to interventionism, a flawed model of care lacking holistic circumspection—merely treating discrete problems (in billable increments) rather than maintaining health. Therapy and treatment, in the middle of the semantic field, can connote either the holism of care or the discreteness of intervention, with context conveying the intent in each use. Accordingly, they can be used in both noncount and count senses (for example, therapy for chronic kidney disease can involve several dialysis treatments per week). The words aceology and iamatology are obscure and obsolete synonyms referring to the study of therapies.
"The discreteness objection does not require there to be no genetic admixture in the human species in order for there to be US 'racial groups' ... rather ... what the objection claims is that membership in US racial groups is different from membership in continental populations. ... Thus, strictly speaking, Blacks are not identical to Africans, Whites are not identical to Eurasians, Asians are not identical to East Asians and so forth." Therefore, it could be argued that scientific research is not really about race. The next two objections, are metaphysical objections which argue that even if the semantic objections fail, human genetic clustering results do not support the biological reality of race.
Simple spin network of the type used in loop quantum gravity Loop quantum gravity seriously considers general relativity's insight that spacetime is a dynamical field and is therefore a quantum object. Its second idea is that the quantum discreteness that determines the particle-like behavior of other field theories (for instance, the photons of the electromagnetic field) also affects the structure of space. The main result of loop quantum gravity is the derivation of a granular structure of space at the Planck length. This is derived from following considerations: In the case of electromagnetism, the quantum operator representing the energy of each frequency of the field has a discrete spectrum.
A Riemann problem, named after Bernhard Riemann, is a specific initial value problem composed of a conservation equation together with piecewise constant initial data which has a single discontinuity in the domain of interest. The Riemann problem is very useful for the understanding of equations like Euler conservation equations because all properties, such as shocks and rarefaction waves, appear as characteristics in the solution. It also gives an exact solution to some complex nonlinear equations, such as the Euler equations. In numerical analysis, Riemann problems appear in a natural way in finite volume methods for the solution of conservation law equations due to the discreteness of the grid.
An arrangement of two conductors with an insulating layer in between not only has a resistance, but also a finite capacitance. The insulator is also called dielectric in this context, the tunnel junction behaves as a capacitor. Due to the discreteness of electrical charge, current through a tunnel junction is a series of events in which exactly one electron passes (tunnels) through the tunnel barrier (we neglect cotunneling, in which two electrons tunnel simultaneously). The tunnel junction capacitor is charged with one elementary charge by the tunnelling electron, causing a voltage build up U=e/C, where C is the capacitance of the junction.
The crystallographic restriction theorem in its basic form was based on the observation that the rotational symmetries of a crystal are usually limited to 2-fold, 3-fold, 4-fold, and 6-fold. However, quasicrystals can occur with other diffraction pattern symmetries, such as 5-fold; these were not discovered until 1982 by Dan Shechtman.Shechtman et al (1982) Crystals are modeled as discrete lattices, generated by a list of independent finite translations . Because discreteness requires that the spacings between lattice points have a lower bound, the group of rotational symmetries of the lattice at any point must be a finite group (alternatively, the point is the only system allowing for infinite rotational symmetry).
Mathematically LQG is local gauge theory of the self-dual subgroup of the complexified Lorentz group, which is related to the action of the Lorentz group on Weyl spinors commonly used in elementary particle physics. This is partly a matter of mathematical convenience, as it results in a compact group SO(3) or SU(2) as gauge group, as opposed to the non-compact groups SO(3,1) or SL(2.C). The compactness of the Lie group avoids some thus- far unsolved difficulties in the quantization of gauge theories of noncompact lie groups, and is responsible for the discreteness of the area and volume spectra. The theory involving the Immirzi parameter is necessary to resolve an ambiguity in the process of complexification.
This, the Amount, is the moment of Discreteness within Number. Both Qualitative and Quantitative Determinate Being have Limits that demarcate the boundary between their affirmative presence and their negation, but in the former the Limit determines its Being to be of a specific Quality unique to itself, whereas in the latter, made up as it is of homogeneous Units that remain identical to each other no matter which side of the Limit they fall upon, the Limit serves only to enclose a specific Amount of Units, e.g., a hundred, and to distinguish it from other such aggregates. : EXAMPLE: The species of calculation—counting, addition/subtraction, multiplication/division, powers/roots—are the different modes of bringing Numbers into relation with each other.
The criteria for designation of a population or group of populations as a DPS was most recently articulated in a 1996 joint USFWS-NMFS policy (61 FR 4722: February 7, 1996): Three elements are considered in a decision regarding the status of a possible DPS as endangered or threatened under the Act. These are applied similarly for addition to the lists of endangered and threatened wildlife and plants, reclassification, and removal from the lists: # Discreteness of the population segment in relation to the remainder of the species to which it belongs; # The significance of the population segment to the species to which it belongs; and # The population segment's conservation status in relation to the Act's standards for listing (i.e., is the population segment, when treated as if it were a species, endangered or threatened?).
FinFet transistor with sources of variability As a head of the Device Modelling Group in the institute of Microelectronics Asenov and his colleague Evgeni Stefanov developed the first integrated two dimensional TCAD Process and Device Simulators IMPEDANCE. Little know in the western world due to the Iron Curtain IMPEDANCE was licensed and used in USSR, Poland and East Germany. As a head of the Department of Electronics and Electrical engineering, together with Professor Chris Wilkinson he played instrumental role in the establishment of the James Watt Nanofabrication Centre. Prof. Asenov is a pioneer in understanding the impact of the statistical variability associated with the discreteness of charge and granularity of matter as a maker or breaker of the contemporary and future CMOS technology. He directed the development of the first ‘atomistic’ TCAD simulator GARAND.
Smolin contributed to the theory of loop quantum gravity (LQG) in collaborative work with Ted Jacobson, Carlo Rovelli, Louis Crane, Abhay Ashtekar and others. LQG is an approach to the unification of quantum mechanics with general relativity which utilizes a reformulation of general relativity in the language of gauge field theories, which allows the use of techniques from particle physics, particularly the expression of fields in terms of the dynamics of loops. With Rovelli he discovered the discreteness of areas and volumes and found their natural expression in terms of a discrete description of quantum geometry in terms of spin networks. In recent years he has focused on connecting LQG to phenomenology by developing implications for experimental tests of spacetime symmetries as well as investigating ways elementary particles and their interactions could emerge from spacetime geometry.
Using principal component analysis and functional magnetic resonance imaging (fMRI) the main source of early BP was determined to be Area 6 of the precentral gyrus bilaterally, and the main sources of late BP were determined to be Area 4 (also known as the Primary Motor Cortex) and Area 6. The current consensus is that the early BP starts first in the SMA, including pre-SMA and SMA proper, and then approximately 400ms later in the lateral premotor cortices bilaterally prior to the movement onset, and the late BP starts in the M1 and premotor cortex contralaterally. The two factors that most greatly influence the BP are the effect of discreteness and complexity of movement. A study conducted in 1993 compared isolated extensions of the middle finger with simultaneous extensions of the middle and index fingers.
In 2005, Robert F. Port and Adam P. Leary published an argument against the existence of a fixed phonetic inventory. They presented the idea of a phonetic space as unrealistic in terms of the broadness of languages present and more specifically that languages are not consistent in distinctness, discreteness, or temporal patterns, even within the same language. They argue that in order for a formal system to exist, it must have rules, and therefore each "phonetic atom" - in this case, all the phonetic sounds in the universe - "must be static and discretely different from each other," which means there can be no inconsistency in how each sound is produced. They argue that this is unrealistic because speakers of the same language often speak differently in that the intonations of sounds and stresses on syllables depend on each person's style of speaking, not necessarily their accent.
The key tactics used to avert any at-risk listing centered on the issue of stock discreteness, and DFO's single-stock stance within COSEWIC contradicted the multiple-stock hypothesis supported by the most recent science (including DFO's, hence DFO's earlier and proper demand that the report address these). Bell has argued that this contradiction between fact and tactic effectively painted management into a corner from which it could not acknowledge or explain the contrast between areas where conservation measures were clearly needed and areas where opposite observations were gaining press attention.Endangered Cod, Red Herrings, Harps, and Hamster Wheels In effect, DFO's opposition to a listing compromised its ability to carry out its conservation mandate. In 1998, the Committee on the Status of Endangered Wildlife in Canada (COSEWIC) listed the Atlantic cod as "vulnerable", a category subsequently rebranded as "special concern", though not as an endangered species.
Tamil inscription at Thanjavur Some of the properties that define human language as opposed to other communication systems are: the arbitrariness of the linguistic sign, meaning that there is no predictable connection between a linguistic sign and its meaning; the duality of the linguistic system, meaning that linguistic structures are built by combining elements into larger structures that can be seen as layered, e.g. how sounds build words and words build phrases; the discreteness of the elements of language, meaning that the elements out of which linguistic signs are constructed are discrete units, e.g. sounds and words, that can be distinguished from each other and rearranged in different patterns; and the productivity of the linguistic system, meaning that the finite number of linguistic elements can be combined into a theoretically infinite number of combinations. The rules by which signs can be combined to form words and phrases are called syntax or grammar.
What has been called the Papuan type of mythology seems to be characterized by a relative absence of cosmogonic myths, by the prominence of ghosts, and by a general simplicity and naivete; and this category also appears to show an extensive development of tales of local distribution only, corresponding to the discreteness and lack of relationship on the linguistic side. The Melanesian stratum, on the other hand, exhibits a considerably greater evolution on the side of cosmogony, an especial fondness for cannibalistic tales, and a rudimentary dualistic character which is revealed in the many stories of the wise and foolish culture hero brothers. Further examination of this Melanesian type seems to indicate that it is by no means a unit, although, because of the character of the material, any conclusions must be wholly tentative. The following grouping is suggested: :#myths of general distribution throughout Melanesia; :#those confined more or less strictly to New Guinea and the immediate vicinity; and :#those similarly restricted in their distribution to Fiji, the New Hebrides, and the Banks and Santa Cruz Islands.

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