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88 Sentences With "additively"

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

RAMBO is an acronym for Rapid Additively Manufactured Ballistics Ordnance.
"We can completely change the world around you, rather than only additively blend information on top of it," he said.
In this way of thinking, for an individual, having more mutations is not just additively worse, but closer to exponentially worse.
Alternatively, an object can be placed inside ReForm to be scanned, after which a replica will be made either additively or subtractively.
Adidas's soles, however, emerge in a strikingly different way—one that is, according to Joseph DeSimone, the result of chemists rather than engineers thinking about how to make things additively.
Inside ReForm is a fast-spinning milling head, which cuts shapes out of material in the traditional subtractive manner, and a 3D-printing extrusion head, which builds material in layers up additively.
Obviously 1 is additively indecomposable, since 0+0<1. No finite ordinal other than 1 is additively indecomposable. Also, \omega is additively indecomposable, since the sum of two finite ordinals is still finite. More generally, every infinite initial ordinal (an ordinal corresponding to a cardinal number) is additively indecomposable.
In set theory, a branch of mathematics, an additively indecomposable ordinal α is any ordinal number that is not 0 such that for any \beta,\gamma<\alpha, we have \beta+\gamma<\alpha. Additively indecomposable ordinals are also called gamma numbers. The additively indecomposable ordinals are precisely those ordinals of the form \omega^\beta for some ordinal \beta. From the continuity of addition in its right argument, we get that if \beta < \alpha and α is additively indecomposable, then \beta + \alpha = \alpha.
Parts are built up additively layer by layer, typically using layers 20 micrometers thick.
Independent component analysis (ICA) is directed to similar problems as principal component analysis, but finds additively separable components rather than successive approximations.
For symmetric additively separable hedonic games (those that satisfy v_i(j) = v_j(i) for all i,j\in N), there always exists a Nash-stable coalition structure by a potential function argument. In particular, coalition structures that maximize social welfare are Nash-stable. A similar argument shows that a Nash-stable coalition structure always exists in the more general class of subset-neutral hedonic games. However, there are examples of symmetric additively separable hedonic games that have empty core.
Both genes are unusual in wheat and its relatives. Combined with the Sr2 gene that acts additively with at least Sr33, they could provide durable disease resistance to Ug99 and its derivatives.
However, studies that followed generally supported models that explain the effect as resulting from a series of microelements contributing additively to the net photovoltage. The more popular models used to explain the photovoltage are reviewed below.
Cognitive research has also been applied to ethnomusicological studies of rhythm. Some ethnomusicologists believe that African and Western rhythms are organized differently. Western rhythms may be based on ratio relationships, while African rhythms may be organized additively.
Two colors of equal value and chroma, on opposite sides of a hue circle, are complementary colors, and mix additively to the neutral gray of the same value. The diagram below shows 40 evenly spaced Munsell hues, with complements vertically aligned.
The definition depends on whether one is working in discrete or continuous time. We will see that for CRRA utility, the two approaches yield the same answer. The below functional forms assume that utility from consumption is time additively separable.
The simplest version of the term test applies to infinite series of real numbers. The above two proofs, by invoking the Cauchy criterion or the linearity of the limit, also work in any other normed vector spaceHansen p.55; Șuhubi p.375 (or any (additively written) abelian group).
The class of additively indecomposable numbers is closed and unbounded. Its enumerating function is normal, given by \omega^\alpha. The derivative of \omega^\alpha (which enumerates its fixed points) is written \epsilon_\alpha. Ordinals of this form (that is, fixed points of \omega^\alpha) are called epsilon numbers.
As Fortune describes in ref. , a modified version of the sweep line algorithm can be used to construct an additively weighted Voronoi diagram, in which the distance to each site is offset by the weight of the site; this may equivalently be viewed as a Voronoi diagram of a set of disks, centered at the sites with radius equal to the weight of the site. Weighted sites may be used to control the areas of the Voronoi cells when using Voronoi diagrams to construct treemaps. In an additively weighted Voronoi diagram, the bisector between sites is in general a hyperbola, in contrast to unweighted Voronoi diagrams and power diagrams of disks for which it is a straight line.
A more general class of epsilon numbers has been identified by John Horton Conway and Donald Knuth in the surreal number system, consisting of all surreals that are fixed points of the base ω exponential map x → ωx. defined gamma numbers (see additively indecomposable ordinal) to be numbers γ>0 such that α+γ=γ whenever α<γ, and delta numbers (see additively indecomposable ordinal#Multiplicatively indecomposable) to be numbers δ>1 such that αδ=δ whenever 0<α<δ, and epsilon numbers to be numbers ε>2 such that αε=ε whenever 1<α<ε. His gamma numbers are those of the form ωβ, and his delta numbers are those of the form ωωβ.
Prior to the Treaty of Utrecht, rules of succession to the crown of France were deemed to have evolved historically and additively, rather than to have been legislated or amended, constituting part of the fundamental laws of the nation.de Badts de Cugnac, Chantal. Coutant de Saisseval, Guy. Le Petit Gotha.
But the potential for this microscopic work to additively sum to macroscopic work depends on there being an asymmetric distribution of particle speeds, so that the average collision pushes in a focused direction. Microscopic work is necessary but not sufficient for macroscopic work. A global property of asymmetric distribution is also required.
It uses a cold-gas propulsion system with additively manufactured components, GPS, laser rangefinder, neural networks to drive a vision-based navigation system, Wi-Fi communication, and commercial off-the-shelf (COTS) parts wherever possible. The spacecraft is paired with a communications relay, called Kenobi, that provides an interface to the Cygnus vehicle.
Environmental factors can be classified into two main groups, invasive and non-invasive. These factors act additively or independently, ultimately affecting positioning and physical development of the tooth. Invasive environmental factors potentially affect tooth development and positioning leading to hypodontia and impaction. Examples include jaw fractures, surgical procedures and extraction of the preceding deciduous tooth.
Are these women (based on cumulative status characteristics) going to be less influential than white women? In other words, do people process group members identities cumulatively/additively? There have been studies that look at difference between different intersections. For example, Dugger (1998) found that African American women typically endorse more moderate forms of status beliefs than White women.
14 Each class is represented by the core form of a Witt decomposition.Lorenz (2008) p. 30 The Witt group of k is the abelian group W(k) of equivalence classes of non- degenerate symmetric bilinear forms, with the group operation corresponding to the orthogonal direct sum of forms. It is additively generated by the classes of one-dimensional forms.
An inverse monoid is a monoid where for every a in M, there exists a unique a−1 in M such that and . If an inverse monoid is cancellative, then it is a group. In the opposite direction, a zerosumfree monoid is an additively written monoid in which implies that and : equivalently, that no element other than zero has an additive inverse.
Cohen's method is not even additively homomorphic, however. The Levieil–Naccache scheme supports only additions, but it can be modified to also support a small number of multiplications. Many refinements and optimizations of the scheme of Van Dijk et al. were proposed in a sequence of works by Jean-Sébastien Coron, Tancrède Lepoint, Avradip Mandal, David Naccache, and Mehdi Tibouchi.
Elman, Karpenko, Merkurjev (2008), section 5. The homomorphism is surjective, since the Pfister forms additively generate In. One part of the Milnor conjecture, proved by Orlov, Vishik and Voevodsky, states that this homomorphism is in fact an isomorphism kn(F) ≅ In/In+1.Orlov, Vishik, Voevodsky (2007). That gives an explicit description of the abelian group In/In+1 by generators and relations.
A target neuron that takes only two types of direct input can only combine them additively. However mathematical models show that when also receiving recursive input from neighboring neurons, the resulting transformation to the target neurons firing rate is multiplicative. In this model, neurons with overlapping receptive fields excite each other, multiplying the strength. Likewise, neurons with non-overlapping receptive fields are inhibitory.
The natural logarithm f(x) = \ln x scales additively and so is not homogeneous. This can be demonstrated with the following examples: f(5x) = \ln 5x = \ln 5 + f(x), f(10x) = \ln 10 + f(x), and f(15x) = \ln 15 + f(x). This is because there is no k such that f(\alpha \cdot x) = \alpha^k \cdot f(x).
The sculpting tool set contains an assortment of brushes with adjustable falloffs. The use of 3D layers allows for design visualization, non-destructive sculpting, and high polygon counts. Since the layers combine additively, their ordering is unimportant for the final model and may be created arbitrarily. Curves can be created and projected on a mesh for use as precise masking.
In linguistics research, harmonic additive synthesis was used in 1950s to play back modified and synthetic speech spectrograms. Later, in early 1980s, listening tests were carried out on synthetic speech stripped of acoustic cues to assess their significance. Time-varying formant frequencies and amplitudes derived by linear predictive coding were synthesized additively as pure tone whistles. This method is called sinewave synthesis.
Formally, the definition is by transfinite induction: the \gamma-th element of the class is defined (provided it has already been defined for all \beta<\gamma), as the smallest element greater than the \beta- th element for all \beta<\gamma. This could be applied, for example, to the class of limit ordinals: the \gamma-th ordinal, which is either a limit or zero is \omega\cdot\gamma (see ordinal arithmetic for the definition of multiplication of ordinals). Similarly, one can consider additively indecomposable ordinals (meaning a nonzero ordinal that is not the sum of two strictly smaller ordinals): the \gamma-th additively indecomposable ordinal is indexed as \omega^\gamma. The technique of indexing classes of ordinals is often useful in the context of fixed points: for example, the \gamma-th ordinal \alpha such that \omega^\alpha = \alpha is written \varepsilon_\gamma.
Suppose there is a team of n > 1 risk neutral agents whose preference functions are strictly concave and increasing, and also additively separable in money and effort. Then, under an incentive system that distributes exactly the output among the team members, any Nash equilibrium is Pareto inefficient. RasmusenEric Rasmusen, "Moral Hazard in Risk-Averse Teams", The RAND Journal of Economics 18, no. 3 (1987), pp. 428–435.
Following Gelman and Hill, the assumptions of the ANOVA, and more generally the general linear model, are, in decreasing order of importance: # the data points are relevant with respect to the scientific question under investigation; # the mean of the response variable is influenced additively (if not interaction term) and linearly by the factors; # the errors are independent; # the errors have the same variance; # the errors are normally distributed.
The additive mixing of colors is not commonly taught to children, as it does not correspond to the mixing of physical substances (such as paint) which would correspond to subtractive mixing. Two beams of light that are superimposed mix their colors additively. By convention, the three primary colors in additive mixing are red, green, and blue. In the absence of light of any color, the result is black.
Disease co-occurrence, with or without interactions, is known as comorbidity and coinfection. The difference between "comorbid" and "syndemic" is per Mustanski et al. (2008:40) "comorbidity research tends to focus on the nosological issues of boundaries and overlap of diagnoses, while syndemic research focuses on communities experiencing co-occurring epidemics that additively increase negative health consequences." It is possible for two afflictions to be comorbid, but not syndemic i.e.
Similar research also indicates that racism and internalized racism are associated with poor mental health as well. When combined, discrimination and internalized oppression interact with one another and contribute to psychological distress. Both homophobia and racism contribute additively to distress, but it was noted that homophobic discrimination and internalized racism had the most significant and detrimental effects on well being. This study shows similar results to previous research in this aspect.
A more complex system expresses larger numbers additively by using phrases such as for three, for four, and so on. This feature purposely makes it impractical to communicate large numbers. An alternate system for larger numbers, described in Lang's book, uses (literally "hand") to signify "five", (literally "many") to signify "twenty" and (literally "all") to signify "100". For example, using this structure would mean "102" and would signify "78".
A monoid whose operation is commutative is called a commutative monoid (or, less commonly, an abelian monoid). Commutative monoids are often written additively. Any commutative monoid is endowed with its algebraic preordering , defined by if there exists z such that . An order-unit of a commutative monoid M is an element u of M such that for any element x of M, there exists v in the set generated by u such that .
CTAB has been shown to have potential use as an apoptosis-promoting anticancer agent for head and neck cancer (HNC). In vitro, CTAB interacted additively with γ radiation and cisplatin, two standard HNC therapeutic agents. CTAB exhibited anticancer cytotoxicity against several HNC cell lines with minimal effects on normal fibroblasts, a selectivity that exploits cancer-specific metabolic aberrations. In vivo, CTAB ablated tumor-forming capacity of FaDu cells and delayed growth of established tumors.
As varies through the group, it would appear that many cosets (right or left) would be generated. This is true, but the cosets are not all distinct. In fact, if two cosets of the same type have at least one element in common then they are identical as sets. If the group operation is written additively, as is often the case when the group is abelian, the notation used changes to or , respectively.
Formally, a left R-semimodule consists of an additively-written commutative monoid M and a map from R \times M to M satisfying the following axioms: # r (m + n) = rm + rn # (r + s) m = rm + sm # (rs)m = r(sm) # 1m = m # 0_R m = r 0_M = 0_M. A right R-semimodule can be defined similarly. For modules over a ring, the last axiom follows from the others. This is not the case with semimodules.
Journal of Development Economics, 2(2), pp. 165-187. In another highly cited article, co-authored with Efe A. Ok and published in 1996, Fields defines the concept of income mobility and develops a measure of income mobility which is additively decomposable into its two sources, namely the transfer of income among individuals within a given structure and the change in total income, e.g. due to economic growth or contraction.Fields, G.S., Ok, E.A. (1996).
Evaporation printing uses a combination of high precision screen printing with material vaporization to print features to 5 µm. This method uses techniques such as thermal, e-beam, sputter and other traditional production technologies to deposit materials through a high precision shadow mask (or stencil) that is registered to the substrate to better than 1 micrometer. By layering different mask designs and/or adjusting materials, reliable, cost-effective circuits can be built additively, without the use of photo-lithography.
The governing equations, constitutive models, and yield surfaces discussed above are not sufficient if we are to compute the stresses and displacements in a rock body that is undergoing plastic deformation. An additional kinematic assumption is needed, i.e., that the strain in the body can be decomposed additively (or multiplicatively in some cases) into an elastic part and a plastic part. The elastic part of the strain can be computed from a linear elastic constitutive model.
The pulse counter in the exchange counts the pulses or clicks and interprets them in two possible ways. Depending on continent and country, one click with a following interval can be either "one" or "zero" and subsequent clicks before the interval are additively counted. This renders ten consecutive clicks being either "zero" or "nine", respectively. Some exchanges allow using additional clicks for special controls, but numbers 0-9 now fall in one of these two standards.
The rules of 600 are similar to that of Blackjack, with players being initially dealt two cards and choosing whether to hit (take another card) or stay (receive no more cards). The notable difference between the two games is that in 600, an Ace counts as either 100 points or can multiply the value of the total value of all other cards in a hand by 10. The Ace's multiplier stacks additively, i.e. two aces result in a multiplier of 20.
If the anion name ends in -ide then as a ligand its name is changed to end in -o. For example the chloride anion, Cl− becomes chlorido. This is a difference from organic compound naming and substitutive naming where chlorine is treated as neutral and it becomes chloro, as in PCl3, which can be named as either substitutively or additively as trichlorophosphane or trichloridophosphorus respectively. Similarly if the anion names end in -ite, -ate then the ligand names are -ito, -ato.
The mean score of individual measures is, however, potentially problematic in some instances because aggregation can mask important information when individual characteristics do not combine additively to form a collective resource pool. A team score for a particular characteristic can also be measured by taking the average, or mean, of all team member scores. Using this method, the amount of each trait for individual members is combined to form a group-level measurement of that trait. For example, cohesion could be measured this way.
Red, green, and blue light are popular primaries for additive color mixing since primary lights with those hues provide a large triangular chromaticity gamut. Small red, green, and blue elements in electronic displays mix additively from an appropriate viewing distance to synthesize compelling colored images. The exact colors chosen for additive primaries are a technological compromise between the available phosphors (including considerations such as cost and power usage) and the need for large chromaticity gamut. The ITU-R BT.709-5/sRGB primaries are typical.
In 2004, Helger Lipmaa achieved log-squared communication complexity O(\ell \log n+k \log^2 n), where \ell is the length of the strings and k is the security parameter. The security of his system reduces to the semantic security of a length-flexible additively homomorphic cryptosystem like the Damgård–Jurik cryptosystem. In 2005 Craig Gentry and Zulfikar Ramzan achieved log-squared communication complexity which retrieves log-square (consecutive) bits of the database. The security of their scheme is also based on a variant of the Phi- hiding assumption.
Early hypotheses of gain field encoding suggested that the gain field works as a model for motion additively. This would mean that if two limbs needed to move, models for each would be called separately but at the same time. However, more recent studies in which more complex motor movements are observed have found that the gain field is created multiplicatively in order to allow the body to adapt to the constantly changing frames of reference experienced in everyday life. This multiplicative property is an effect of recurrent neural circuitry.
Polymer derived ceramics can be additively manufactured (3D printed) in stereolithography based techniques, through photopolymerization of preceramic polymers.Additive manufacturing of polymer derived ceramics published in Additive manufacturing 2019, vol. 27 Such processing of PDCs has drawn attention towards applications requiring thermally and chemically stable materials in complex forms that are challenging to achieve through more conventional ceramic processing routes, such as powder sintering and slip casting. PDCs are further valuable towards the synthesis of porous and mesoporous materials Polymer-Derived Ceramics with engineered mesoporosity: From design to application in catalysis and thin films.
All the powers of t are distinct, and so are the powers of M. Every non- zero element x of R can be written in the form αt k with α a unit in R and k≥0, both uniquely determined by x. The valuation is given by ν(x) = kv(t). So to understand the ring completely, one needs to know the group of units of R and how the units interact additively with the powers of t. The function v also makes any discrete valuation ring into a Euclidean domain.
Additionally, co-purification and subsequent removal of inositol pentakisphosphate (InsP5) from COI1 suggest InsP5 is a necessary component of the co-receptor and plays a role in potentiating the co-receptor complex. Once freed from JAZ, transcription factors can activate genes needed for a specific JA response. The best-studied transcription factors acting in this pathway belong to the MYC family of transcription factors, which are characterized by a basic helix-loop-helix (bHLH) DNA binding motif. These factors (of which there are three, MYC2, 3, and 4) tend to act additively.
IP gene knockout mice (i.e. IP(-/-) mice) exhibit increased tendency to thrombosis in response to experimentally-induced Endothelium, a result which appears to reflect, at least in part, the loss of IP's anti-platelet activity. IP activation of animal and human platelets inhibits their aggreatation response and as one consequence of this inhibition of platelet-dependent blood clotting. The PGI2-IP axis along with the production of nitric oxide, acting together additively and potentially synergistically, are powerful and physiological negative regulators of platelet function and thereby blood clotting in humans.
If the binary operation is written additively, as it often is for abelian groups, then "exponentiation is repeated multiplication" can be reinterpreted as "multiplication is repeated addition". Thus, each of the laws of exponentiation above has an analogue among laws of multiplication. When there are several power-associative binary operations defined on a set, any of which might be iterated, it is common to indicate which operation is being repeated by placing its symbol in the superscript. Thus, x∗n is , while x#n is , whatever the operations ∗ and # might be.
Venn diagrams for the Boolean operations of conjunction, disjunction, and complement Since the join operation ∨ in a Boolean algebra is often written additively, it makes sense in this context to denote ring addition by ⊕, a symbol that is often used to denote exclusive or. Given a Boolean ring R, for x and y in R we can define :x ∧ y = xy, :x ∨ y = x ⊕ y ⊕ xy, :¬x = 1 ⊕ x. These operations then satisfy all of the axioms for meets, joins, and complements in a Boolean algebra. Thus every Boolean ring becomes a Boolean algebra.
This can be the case when multiple genes act in parallel to achieve the same effect. For example, when an organism is in need of phosphorus, multiple enzymes that break down different phosphorylated components from the environment may act additively to increase the amount of phosphorus available to the organism. However, there inevitably comes a point where phosphorus is no longer the limiting factor for growth and reproduction and so further improvements in phosphorus metabolism have smaller or no effect (negative epistasis). Some sets of mutations within genes have also been specifically found to be additive.
The mechanisms of CCD are still unknown, but many causes are currently being considered, such as pesticides, mites, fungi, beekeeping practices (such as the use of antibiotics or long-distance transportation of beehives), malnutrition, poor quality queens, starvation, other pathogens, and immunodeficiencies. The current scientific consensus is that no single factor is causing CCD, but that some of these factors in combination may lead to CCD either additively or synergistically. In 2006, the Colony Collapse Disorder Working Group, based primarily at Pennsylvania State University, was established. Their preliminary report pointed out some patterns, but drew no strong conclusions.
The green of Papilio palinurus is created by structural coloration, using special microstructures in the wing scales. The iridescent green sheen of the bands of this butterfly is not produced by pigments, but is structural coloration produced by the microstructure of the wing scales. They refract the light and give rise to blue and yellow visible reflections, producing the perception of green color when additively mixed.Crne, Matija; Vivek Sharma, John Blair, Jung Ok Park, Christopher J. Summers and Mohan Srinivasarao - Biomimicry of optical microstructures of Papilio palinurus - EPL -Volume 93, Number 1, January 2011Vukusic, P.; Sambles, J.R.; & Lawrence, C.R. (2000).
The approach was actually invented over 160 years earlier by Carl Friedrich Gauss, in what is now termed the arithmetic–geometric mean method (AGM method) or Gauss–Legendre algorithm. As modified by Salamin and Brent, it is also referred to as the Brent–Salamin algorithm. The iterative algorithms were widely used after 1980 because they are faster than infinite series algorithms: whereas infinite series typically increase the number of correct digits additively in successive terms, iterative algorithms generally multiply the number of correct digits at each step. For example, the Brent-Salamin algorithm doubles the number of digits in each iteration.
It starts with a window, a small multiple of the maximum segment size (MSS) in size. Although the initial rate is low, the rate of increase is very rapid; for every packet acknowledged, the congestion window increases by 1 MSS so that the congestion window effectively doubles for every round-trip time (RTT). When the congestion window exceeds the slow-start threshold, ssthresh, the algorithm enters a new state, called congestion avoidance. In congestion avoidance state, as long as non-duplicate ACKs are received the congestion window is additively increased by one MSS every round-trip time.
These methods modify the covariance matrix used in the computations and, consequently, the posterior ensemble is no longer made only of linear combinations of the prior ensemble. For nonlinear problems, EnKF can create posterior ensemble with non-physical states. This can be alleviated by regularization, such as penalization of states with large spatial gradients. For problems with coherent features, such as hurricanes, thunderstorms, firelines, squall lines, and rain fronts, there is a need to adjust the numerical model state by deforming the state in space (its grid) as well as by correcting the state amplitudes additively.
Early B batteries used with bright emitter tubes were 120 volts, but these quickly became obsolete as they were replaced with examples having voltages of typically 45 volts, 67½ volts, or 90 volts as more efficient tubes became available. Some examples had taps every 22½ volts. Even when the plate voltage rail is fed by a power supply rather than a battery, it is generally referred to as the "B+" line in American schematics. Because plate voltages can be as high as 300V DC, multiple B batteries may be connected together in series to additively provide the required operating voltages.
However, it is still NP-hard to find a Pareto optimal or socially optimal outcome. In particular, for hedonic games given by individually rational coalition lists, it is NP-complete to decide whether the game admits a core-stable, a Nash-stable, or an individually stable outcome. The same is true for anonymous games. For additively separable hedonic games, it is NP-complete to decide the existence of a Nash-stable or an individually stable outcome and complete for the second level of the polynomial hierarchy to decide whether there exists a core-stable outcome, even for symmetric additive preferences.
Previously, it was believed that color films were first projected in 1909 at the Palace Theatre in London (the main problem with the color being that the technique, created by George Smith, (Kinemacolor) only used two colors: green and red, which were mixed additively). But in fact, it was in 1901 when the first color film in history was created. This untitled film was directed by photographer Edward Raymond Turner and his patron Frederick Marshall Lee. The way they did it was to use black and white film rolls, but have green, red, and blue filters go over the camera individually as it shot.
In animal model studies, furthermore, carbon monoxide reduced the severity of experimentally induced bacterial sepsis, pancreatitis, hepatic ischemia/reperfusion injury, colitis, osteoarthritis, lung injury, lung transplantation rejection, and neuropathic pain while promoting skin wound healing. These actions are similar to those of Specialized pro-resolving mediators which act to dampen, reverse, and repair the tissue damage due to diverse inflammation responses. Indeed, carbon monoxide can act additively with one of these mediators (Resolvin D1) to limit inflammatory responses. The studies implicate carbon monoxide as a physiological contributor to limiting inflammation and suggest that its delivery by inhalation or carbon monoxide- forming drugs may be therapeutically useful for controlling pathological inflammatory responses.
In his book Environmental Ceramics, Bitters says that “Clay assumes powerful form in sculpture. Because of its responsive nature and its receptivity to impressions, clay is open to tremendous variety of sculptural approaches, and can be worked additively and subtractively with equal ease. Its visual mass gives it an earthy, weighty character in contrast to the liquid nature of glass or the linear character of welded steel in which a massive piece may appear to be much lighter than it is. The immediacy with which clay can be worked gives the sculpture great energy. Clay accepts and emits emotional power” (Bitters 1976, p. 77).
The median polish is a simple and robust exploratory data analysis procedure proposed by the statistician John Tukey. The purpose of median polish is to find an additively-fit model for data in a two-way layout table (usually, results from a factorial experiment) of the form row effect + column effect + overall median. Median polish utilizes the medians obtained from the rows and the columns of a two-way table to iteratively calculate the row effect and column effect on the data. The results are not meant to be sensitive to the outliers, as the iterative procedure uses the medians rather than the means.
Regional organ blood flow has been traditionally assessed by the injection of radiolabelled polyethylene microspheres into the arterial circulation of animals, of a size that they become entrapped within the microcirculation of organs. The organ to be assessed is then divided into equal-sized cubes and the amount of radiolabel within each cube is evaluated by liquid scintillation counting and recorded. The amount of radioactivity within each cube is taken to reflect the blood flow through that sample at the time of injection. It is possible to evaluate adjacent cubes from an organ in order to additively determine the blood flow through larger regions.
As in his oil studies in the 1850s, in his later works Achenbach built colors up additively, using the brush, palette knife, and his fingers. He also used the texture of the canvas as a design element. In some works, surfaces that are uniformly and carefully painted with a fine brush stand next to places where the painting surface shows through or the paint is piled high, giving some works a distinctly noticeable texture. Another feature of Achenbach's late work is that the level of detail does not decrease continuously with the perspective, but rather reflects his aims for the overall effect of the painting.
Genetic interaction networks represent the functional interactions between pairs of genes in an organism and are useful for understanding the relation between genotype and phenotype. The majority of genes do not code for particular phenotypes. Instead, phenotypes often result from the interaction between several genes. In humans, “Each individual carries ∼4million genetic variants and polymorphisms, the overwhelming majority of which cannot be pinpointed as the single cause for a given phenotype. Instead, the effects of genetic variants may combine with one another both additively and synergistically, and each variant’s contribution to a quantitative trait or disease risk could depend on the genotypes of dozens of other variants.
On September 5, 2013 Elon Musk tweeted an image of SpaceX's regeneratively-cooled SuperDraco rocket engine chamber emerging from an EOS 3D metal printer, noting that it was composed of the Inconel superalloy. In a surprise move, SpaceX announced in May 2014 that the flight- qualified version of the SuperDraco engine is fully printed, and is the first fully printed rocket engine. Using Inconel, an alloy of nickel and iron, additively-manufactured by direct metal laser sintering, the engine operates at a chamber pressure of at a very high temperature. The engines are contained in a printed protective nacelle, also DMLS-printed, to prevent fault propagation in the event of an engine failure.
The Seeker vehicle contained a small 6 – Degree of Freedom, cold gas nitrogen based cubesat propulsion system. The propulsion system is approximately 1.25U in size and contains 12 0.1 N thrusters. The system contained a small titanium pressure vessel and was capable of providing approximately 5 m/s DV. In an effort to minimize mass, optimize packing, and substantial reductions in iteration time between designs, aa significant effort was undertaken to utilize additive manufacturing (AM) technology as part of the Seeker propulsion system. The certified AM thrusters were the first known additively manufactured (AM) pressurized plastic components which are designed to meet or exceed NASA standards and are certified for pressurized ground and flight use around operators.
Thus instead of just modifying an existing part design to allow it to be made additively, full-fledged DfAM involves things like reimagining the overall object such that it has fewer parts or a new set of parts with substantially different boundaries and connections. The object thus may no longer be an assembly at all, or it may be an assembly with many fewer parts. Many examples of such deep-rooted practical impact of DfAM have been emerging in the 2010s, as AM greatly broadens its commercialization. For example, in 2017, GE Aviation revealed that it had used DfAM to create a helicopter engine with 16 parts instead of 900, with great potential impact on reducing the complexity of supply chains.
An extremely well-studied formulation in stochastic control is that of linear quadratic Gaussian control. Here the model is linear, the objective function is the expected value of a quadratic form, and the disturbances are purely additive. A basic result for discrete-time centralized systems with only additive uncertainty is the certainty equivalence property: that the optimal control solution in this case is the same as would be obtained in the absence of the additive disturbances. This property is applicable to all centralized systems with linear equations of evolution, quadratic cost function, and noise entering the model only additively; the quadratic assumption allows for the optimal control laws, which follow the certainty-equivalence property, to be linear functions of the observations of the controllers.
A list song, also called a laundry list song or a catalog song, is a song based wholly or in part on a list. Unlike topical songs with a narrative and a cast of characters, list songs typically develop by working through a series of information, often humorous or comically, articulating their images additively, and sometimes use items of escalating absurdity. The form as a defining feature of an oral tradition dates back to early classical antiquity, where it played an important part of early hexameter poetry for oral bards like Homer and Hesiod. In classical opera the list song has its own genre, the catalogue aria, that was especially popular in Italian opera buffa and comic opera in the latter half of the eighteenth and early nineteenth centuries.
These hardness results extend to games given by hedonic coalition nets. While Nash- and individually stable outcomes are guaranteed to exist for symmetric additively separable hedonic games, finding one can still be hard if the valuations v_i(j) are given in binary; the problem is PLS- complete. For the stable marriage problem, a core-stable outcome can be found in polynomial time using the deferred acceptance algorithm; for the stable roommates problem, the existence of a core-stable outcome can be decided in polynomial time if preferences are strict, but the problem is NP-complete if preference ties are allowed. Hedonic games with preferences based on the worst player behave very similarly to stable roommates problems with respect to the core, but there are hardness results for other solution concepts.
When Mendel’s work on inheritance was rediscovered in 1900, scientists debated whether Mendel’s laws could account for the continuous variation observed for many traits. One group known as the biometricians argued that continuous traits such as height were largely heritable, but could not be explained by the inheritance of single Mendelian genetic factors. Work by Ronald Fisher in 1918 mostly resolved debate by demonstrating that the variation in continuous traits could be accounted for if multiple such factors contributed additively to each trait. However, the number of genes involved in such traits remained undetermined; until recently, genetic loci were expected to have moderate effect sizes and each explain several percent of heritability. After the conclusion of the Human Genome Project in 2001, it seemed that the sequencing and mapping of many individuals would soon allow for a complete understanding of traits’ genetic architectures.
It is named after the Greek astronomer and mathematician Ptolemy. The four points can be ordered in any of three distinct ways (counting reversals as not distinct) to form three different quadrilaterals, for each of which the sum of the products of opposite sides is at least as large as the product of the diagonals. Thus the three product terms in the inequality can be additively permuted to put any one of them on the right side of the inequality, so the three products of opposite sides or of diagonals of any one of the quadrilaterals must obey the triangle inequality.. As a special case, Ptolemy's theorem states that the inequality becomes an equality when the four points lie in cyclic order on a circle. The other case of equality occurs when the four points are collinear in order.
The types of applications most suited to the selective laser melting process are complex geometries & structures with thin walls and hidden voids or channels on the one hand or low lot sizes on the other hand. Advantage can be gained when producing hybrid forms where solid and partially formed or lattice type geometries can be produced together to create a single object, such as a hip stem or acetabular cup or other orthopedic implant where oseointegration is enhanced by the surface geometry. Much of the pioneering work with selective laser melting technologies is on lightweight parts for aerospace where traditional manufacturing constraints, such as tooling and physical access to surfaces for machining, restrict the design of components. SLM allows parts to be built additively to form near net shape components rather than by removing waste material.
As the name implies, additive multi-attribute value models with performance categories – hereinafter referred to simply as 'value models' – consist of multiple criteria (or 'attributes'), with two or more performance categories (or 'levels') within each criterion, that are combined additively. Each category within each criterion is worth a certain number of points that is intended to reflect both the relative importance ('weight') of the criterion and its degree of achievement. For each alternative being considered, the point values are summed across the criteria to get a total score – hence, these are additive value models – by which the alternatives are prioritized or ranked (or otherwise classified) relative to each other. Thus, a value model (or 'points system') is simply a schedule of criteria (and categories) and point values for the decision problem at hand; for an example, see Table 1 in the sub-section below.
For example, the class of all limit ordinals is closed and unbounded: this translates the fact that there is always a limit ordinal greater than a given ordinal, and that a limit of limit ordinals is a limit ordinal (a fortunate fact if the terminology is to make any sense at all!). The class of additively indecomposable ordinals, or the class of \varepsilon_\cdot ordinals, or the class of cardinals, are all closed unbounded; the set of regular cardinals, however, is unbounded but not closed, and any finite set of ordinals is closed but not unbounded. A class is stationary if it has a nonempty intersection with every closed unbounded class. All superclasses of closed unbounded classes are stationary, and stationary classes are unbounded, but there are stationary classes that are not closed and stationary classes that have no closed unbounded subclass (such as the class of all limit ordinals with countable cofinality).
The power diagram may be seen as a weighted form of the Voronoi diagram of a set of point sites, a partition of the plane into cells within which one of the sites is closer than all the other sites. Other forms of weighted Voronoi diagram include the additively weighted Voronoi diagram, in which each site has a weight that is added to its distance before comparing it to the distances to the other sites, and the multiplicatively weighted Voronoi diagram, in which the weight of a site is multiplied by its distance before comparing it to the distances to the other sites. In contrast, in the power diagram, we may view each circle center as a site, and each circle's squared radius as a weight that is subtracted from the squared Euclidean distance before comparing it to other squared distances. In the case that all the circle radii are equal, this subtraction makes no difference to the comparison, and the power diagram coincides with the Voronoi diagram.
An overarching definition of intelligence can be as follows: The more mentally efficient (that is, the faster and the more focused one works towards a goal), capable (that is, the more information one can hold in mind at a given moment), foresighted (that is, the more clearly one can specify one's goals and plan how to achieve them), and flexible (that is, the more one can introduce variations in the concepts and mental operations one already possesses) a person is, the more intelligent we call that person (both in comparison to other individuals and in regard to a general developmental hierarchy). Differences between persons in IQ, or in the rate of development, result additively from differences in all of the processes modeled in the neo- Piagetian theories. Thus, the neo-Piagetian theories differ from Arthur Jensen's theory of general intelligence in that they recognize the importance of specialized domains in the human mind, which are underestimated in Jensen's theory. On the other hand, by recognizing the role of general processes and showing how specialized competences are constrained by them, the neo-Piagetian theories differ from Howard Gardner's theory of multiple intelligences,Gardner, H. (1983).

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