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In mathematics, a topological space is called separable if it contains a countable dense subset; that is, there exists a sequence ( x n ) n = 1 ∞ {\displaystyle...

Look up separable in Wiktionary, the free dictionary. Separability may refer to: Separable algebra, a generalization to associative algebras of the notion...

A separable verb is a verb that is composed of a lexical core and a separable particle. In some sentence positions, the core verb and the particle appear...

In Euclidean geometry, linear separability is a property of two sets of points. This is most easily visualized in two dimensions (the Euclidean plane)...

a separable extension if for every α ∈ E {\displaystyle \alpha \in E} , the minimal polynomial of α {\displaystyle \alpha } over F is a separable polynomial...

Non-separable wavelets are multi-dimensional wavelets that are not directly implemented as tensor products of wavelets on some lower-dimensional space...

A separable filter in image processing can be written as product of two more simple filters. Typically a 2-dimensional convolution operation is separated...

a separable closure of K {\displaystyle K} . Since a separable extension of a separable extension is again separable, there are no finite separable extensions...

In quantum mechanics, separable states are multipartite quantum states that can be written as a convex combination of product states. Product states are...

In mathematics, a polynomial P(X) over a given field K is separable if its roots are distinct in an algebraic closure of K, that is, the number of distinct...

) . {\displaystyle (X,\,{\mathfrak {F}}).} A separable σ {\displaystyle \sigma } -algebra (or separable σ {\displaystyle \sigma } -field) is a σ {\displaystyle...

differential equation for the unknown f ( x ) {\displaystyle f(x)} is separable if it can be written in the form d d x f ( x ) = g ( x ) h ( f ( x ) )...

mathematics, a separable algebra is a kind of semisimple algebra. It is a generalization to associative algebras of the notion of a separable field extension...

Hilbert space is separable provided it contains a dense countable subset. Along with Zorn's lemma, this means a Hilbert space is separable if and only if...

Depthwise separable convolution separates the standard convolution into two steps: depthwise convolution and pointwise convolution. The depthwise separable convolution...

In mathematics in complex analysis, the concept of holomorphic separability is a measure of the richness of the set of holomorphic functions on a complex...

In legal philosophy, legal positivism is the theory that the existence of the law and its content depend on social facts, such as acts of legislation,...

mathematics, a separable permutation is a permutation that can be obtained from the trivial permutation 1 by direct sums and skew sums. Separable permutations...

In topology, a second-countable space, also called a completely separable space, is a topological space whose topology has a countable base. More explicitly...

to the problem take the forms of several types of methods, including separable closed-form solutions, simultaneous closed-form solutions, and iterative...

the mathematical discipline of general topology, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic...

mathematics, a logical matrix may be described as d-disjunct and/or d-separable. These concepts play a pivotal role in the mathematical area of non-adaptive...

A copyright is a type of intellectual property that gives its owner the exclusive legal right to copy, distribute, adapt, display, and perform a creative...

The separability problem is a concept from the field of social choice theory that describes the situation where two or more issues up for vote on a ballot...

of a separable Banach space need not be separable, but: Theorem—Let X {\displaystyle X} be a normed space. If X ′ {\displaystyle X'} is separable, then...

perceptron). Single-layer perceptrons are only capable of learning linearly separable patterns. For a classification task with some step activation function...

A separable partial differential equation can be broken into a set of equations of lower dimensionality (fewer independent variables) by a method of separation...

An MDS matrix (maximum distance separable) is a matrix representing a function with certain diffusion properties that have useful applications in cryptography...

φ(x)ψ(y), ψ(x)φ(y), ψ(x)ψ(y) } This leads to the concept of multidimensional separable DWT similar in principle to the multidimensional DFT. φ(x)φ(y) gives the...

transcendence basis S such that L is a separable algebraic extension over K(S). A field extension L / K is said to be separably generated if it admits a separating...

achieve equality in the Singleton bound are called MDS (maximum distance separable) codes. Examples of such codes include codes that have only q {\displaystyle...

polynomial is a product of separable polynomials (since every polynomial is a product of its irreducible factors, and these are separable over a perfect field)...

A graph G which is connected but not 2-connected is sometimes called separable. Analogous concepts can be defined for edges. In the simple case in which...

fully separable states and fully entangled states, there also exists the notion of partially separable states. The definitions of fully separable and fully...

In law, severability (sometimes known as salvatorius, from Latin) refers to a provision in a contract or piece of legislation which states that if some...

dual space is a measurable function in the usual (strong) sense. For separable spaces, the notions of weak and strong measurability agree. If ( X , Σ...

In computability theory, two disjoint sets of natural numbers are called computably inseparable or recursively inseparable if they cannot be "separated"...

include: separable convolution 2D convolution with an M × N kernel requires M × N multiplications for each sample (pixel). If the kernel is separable, then...

reassigned time-frequency coordinates is very precise for signals that are separable in time and frequency with respect to the analysis window. Many signals...

layers, notable for being able to distinguish data that is not linearly separable. Modern neural networks are trained using backpropagation and are colloquially...

to a finite product of finite separable field extensions. An étale algebra is a special sort of commutative separable algebra. Let K be a field. Let...

calculations changes with the system size. Size consistency (or strict separability) is a property that guarantees the consistency of the energy behaviour...

witness is a functional which distinguishes a specific entangled state from separable ones. Entanglement witnesses can be linear or nonlinear functionals of...

Nash equilibria of separable games are easier to compute than non-separable games as implied by the following theorem: For any separable game there exists...

{\displaystyle K} , where K sep {\displaystyle K^{\textrm {sep}}} is a separable closure of K {\displaystyle K} . Alternatively, it is the group of all...

{\displaystyle X} is a tight measure then Y {\displaystyle Y} is said to be a separable random variable or a Radon random variable. Another equivalent criterion...

{\displaystyle K} is separable. Every finite extension of K {\displaystyle K} is separable. Every algebraic extension of K {\displaystyle K} is separable. Either K...

Sobel–Feldman operator is based on convolving the image with a small, separable, and integer-valued filter in the horizontal and vertical directions and...

Recall that a field extension K → L {\displaystyle K\to L} is called separable iff given a presentation L = K [ x ] ( f ( x ) ) {\displaystyle L={\frac...

learning for finding a linear decision boundary that separates two linearly separable classes. It was developed by Yu-Chi Ho and Rangasami L. Kashyap in 1965...

as counting function theorem. Let the number of homogeneously linearly separable sets of N {\displaystyle N} points in d {\displaystyle d} dimensions be...

generalization both of K-homology and K-theory as an additive bivariant functor on separable C*-algebras. This notion was introduced by the Russian mathematician Gennadi...

The Urysohn universal space is a certain metric space that contains all separable metric spaces in a particularly nice manner. This mathematics concept...

attached to verbs to alter their meaning. Verbs so formed are divided into separable verbs which detach the prefix under certain circumstances and inseparable...

Banach spaces. In its original form, the theorem states that for any separable Banach space containing the space c 0 {\displaystyle c_{0}} (of sequences...

Vasilyevich Prokhorov, who considered probability measures on complete separable metric spaces. The term "Prokhorov’s theorem" is also applied to later...

L / K {\displaystyle L/K} is called separable if the minimal polynomial of every element of L over K is separable, i.e., has no repeated roots in an algebraic...

the Anderson–Kadec theorem states that any two infinite-dimensional, separable Banach spaces, or, more generally, Fréchet spaces, are homeomorphic as...

fall' but 'verfallen', 'to decay' or 'to be ruined'. Many verbs have a separable prefix that changes the meaning of the root verb, but that does not always...

as a series of separable potentials. The Coulomb interaction between two protons is a special problem, in that its expansion in separable potentials does...

Galois extension is an algebraic field extension E/F that is normal and separable; or equivalently, E/F is algebraic, and the field fixed by the automorphism...

them are bound morphemes by definition; prefixes and suffixes may be separable affixes. Adding a morpheme at the beginning of a word is called prefixation...

sufficient condition for a separable extension of a Hilbertian field to be Hilbertian. Let K be a Hilbertian field and L a separable extension of K. Assume...

adding a prefix or separable particle to many verbs. For example, the verb לײענען leyenen 'read' may be made perfective with the separable particle איבער...

represented in this form are called separable states, or product states. However, not all states of the composite system are separable. Fix a basis { | i ⟩ A } {\displaystyle...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

condition that a state must satisfy in order to be separable. In other words, it is a separability criterion. Consider a quantum mechanical system composed...

it concerns the study of a hierarchy of demons. Demons may be nonhuman separable souls, or discarnate spirits which have never inhabited a body. A sharp...

theorem for unimodular separable locally compact groups of type I and a decomposition theorem for arbitrary representations of separable locally compact groups...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

reduce the classification of (what are now called) von Neumann algebras on separable Hilbert spaces to the classification of so-called factors. Factors are...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

(我帮他个忙). This is not true of every separable verb in Guoyu, and prescriptive texts still opt to treat these verbs as separable. Commonly called Taigi (臺語; Táiyǔ;...

way of bounding the complexity of certain well-behaved normed spaces (separable). It states that every such normed space can be embedded into the normed...

space, and this is a non-separable subset of the separable space S {\displaystyle \mathbb {S} } . It shows that separability does not inherit to closed...

\left({\mathcal {P}}(M),\pi \right)} is separable if and only if ( M , d ) {\displaystyle (M,d)} is separable. If ( P ( M ) , π ) {\displaystyle \left({\mathcal...

second-countable. Urysohn's Theorem can be restated as: A topological space is separable and metrizable if and only if it is regular, Hausdorff and second-countable...

The grammar of the German language is quite similar to that of the other Germanic languages. Although some features of German grammar, such as the formation...

field theory, the primitive element theorem states that every finite separable field extension is simple, i.e. generated by a single element. This theorem...

Differential equation Solution method General solution First-order, separable in x {\displaystyle x} and y {\displaystyle y} (general case, see below...

Intertemporal portfolio choice is the process of allocating one's investable wealth to various assets, especially financial assets, repeatedly over time...

state must satisfy in order for it to be separable. In other words, the reduction criterion is a separability criterion. It was first proved and independently...

mechanical systems A {\displaystyle A} and B {\displaystyle B} , to be separable. It is also called the PPT criterion, for positive partial transpose....

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

integrators is formed by the splitting methods. Assume that the Hamiltonian is separable, meaning that it can be written in the form This happens frequently in...

parameter estimation using the state compared to what can be reached using separable states, i.e., states without quantum entanglement. Hence, the quantum...

as passivization, raising constructions, and clefting, demonstrating separable constituencies within the idiom. Mobile idioms, allowing such movement...

infinite-dimensional Lebesgue measure. Instead, if one is studying some separable Banach space E, what does make sense is a notion of Gaussian measure;...

Suslin's Problem. Every separable topological space has the ccc. Furthermore, a product space of an arbitrary number of separable spaces has the ccc. A...

holds for arbitrary Hilbert spaces, not necessarily separable. When the Hilbert space is not separable any orthonormal basis is uncountable and we need to...

with the action x ⋅ (a ⊗ b) = axb. Then, by definition, A is said to separable if the multiplication map A ⊗R A → A : x ⊗ y ↦ xy splits as an Ae-linear...

only if K / k {\displaystyle K/k} is separable. Consequently, if K / k {\displaystyle K/k} is a finite separable field extension and π : Y → Spec ⁡ (...

The Federal Cigarette Labeling and Advertising Act (also known as the Cigarette Act) is a comprehensive act designed to provide a set of national standards...

Projectile with self-aiming armor penetration submunitions 5 × 17.3 kg 9M55F separable high-explosive fragmentation 258 kg 9M55S Thermobaric 243 kg 9M525 Cluster...

_{12}],} such that ϱ 12 {\displaystyle \varrho _{12}} is a symmetric separable state and T r 1 ( ϱ 12 ) = T r 2 ( ϱ 12 ) = ϱ . {\displaystyle {\rm {Tr}}_{1}(\varrho...

discrete mathematics, a distance-hereditary graph (also called a completely separable graph) is a graph in which the distances in any connected induced subgraph...

words relating to Dutch separable verbs, see the Dutch separable verbs category of words in Wiktionary, the free dictionary. Separable verbs are combinations...

doing so, this initial version focuses on the principle of existential separability, the self and its ability to conceptualize its existence. In an attempt...

Copyright Act of 1976 as the concept of separability. For many years, there was confusion over how to determine separability, so tests proliferated and competed...

physics; in his view, abstraction and studying quantity as a property "separable in thought" from real instances set mathematics apart. In the 19th century...

In statistical mechanics, a canonical ensemble is the statistical ensemble that represents the possible states of a mechanical system in thermal equilibrium...

quantum correlations can be present in certain mixed separable states; In other words, separability alone does not imply the absence of quantum correlations...

image as two independent one-dimensional calculations, and so is termed a separable filter. That is, the effect of applying the two-dimensional matrix can...

of the indifference relation ≃ {\displaystyle \simeq } is countable. Separable - if there exists a countable subset Z ⊆ X {\displaystyle Z\subseteq X}...

fahren (to drive), erfahren (to experience). Many German verbs have a separable prefix, often with an adverbial function. In finite verb forms, it is...

the gametes are similar or identical in form (isogametes), but may have separable properties and then may be given other different names (see isogamy)....

not made out of matter. In the problem of universals, universals are separable from any particular embodiment in one sense, while in another, they seem...

Decorative panel showing the two separable elements of Grotesque: the elaborate acanthus leaf and candelabra type design and the hideous mask or face...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

Neumann algebra that acts on a separable Hilbert space is called separable. Note that such algebras are rarely separable in the norm topology. The von...

articles" can be restricted by copyright law. The Court created a two-prong "separability" test, granting copyrightability based on separate identification and...

{\displaystyle \textstyle \ell ^{p}} ⁠ and ⁠ c 0 {\displaystyle c_{0}} ⁠ are separable, with the sole exception of ⁠ ℓ ∞ {\displaystyle \textstyle \ell ^{\infty...

Catalin; Ionescu, Radu Tudor; Khan, Fahad Shahbaz (2022-09-18). "SepTr: Separable Transformer for Audio Spectrogram Processing". Interspeech. ISCA: 4103–4107...

the assumption of weak separability, under which groups of goods or inputs can be treated as composite aggregates. Separability allows a high-dimensional...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

translation-invariant. If X is a separable metrizable locally convex space then the weak* topology on the continuous dual space of X is separable. Properties on normed...

when one of the signals in the convolution is separable. The method exploits the properties of separability in order to achieve a method of calculating...

to the field of quantum informatics. In his most widely cited paper, 'Separability of Mixed States: Necessary and Sufficient Conditions' written together...

HDFT overcomes Mersereau's "insurmountable difficulty" since it is a separable kernel, which led to the development of the hexagonal fast Fourier transform...

other cluster contains both Iris virginica and Iris versicolor and is not separable without the species information Fisher used. This makes the data set a...

trade-off, the Reed–Solomon code belongs to the class of maximum distance separable codes. While the number of different polynomials of degree less than k...

specifying a particular class of Banach spaces. The problem is still open for separable Hilbert spaces (in other words, each example, found so far, of an operator...

the field extension can be replaced by any degree 2 {\displaystyle 2} separable algebra, most notably a degree 2 {\displaystyle 2} extension of a finite...

stochastic gradient descent, which was able to classify non-linearily separable pattern classes. Amari's student Saito conducted the computer experiments...

limitation: any translation-invariant Borel measure on an infinite-dimensional separable Banach space must be either infinite for all sets or zero for all sets...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

in other Germanic languages. English phrasal verbs are related to the separable verbs in other West Germanic languages such as in Dutch: a. Ik moet de...

essentially the only way to obtain a strictly positive Gaussian measure on a separable Banach space. It was proved in the 1970s by Kallianpur–Satô–Stefan and...

then the classification problem is linear, and the classes are linearly separable. Decision boundaries are not always clear cut. That is, the transition...

has different large-scale properties (e.g., it is neither Lindelöf nor separable). Therefore, it serves as an important counterexample in topology. Intuitively...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

referendum attack the use of closed questions. A difficulty called the separability problem can plague a referendum on two or more issues. If one issue is...

a Feistel structure like DES. Twofish also employs a Maximum Distance Separable matrix. When it was introduced in 1998, Twofish was slightly slower than...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

While simple, the structure of separable kernels can be too limiting for some problems. Notable examples of non-separable kernels in the regularization...

extensions. Let K be a complete non-archimedean field and let K be a separable closure of K. Given an element α in K, denote its Galois conjugates by...

The wealth elasticity of demand, in microeconomics and macroeconomics, is the proportional change in the consumption of a good relative to a change in...

is chemically uniform, physically distinct, and (often) mechanically separable. In a system consisting of ice and water in a glass jar, the ice cubes...

represented solely by A. Methods for non-separable kernels Γ is a current field of research. For the separable case, the representation theorem is reduced...

2017. Its main architectural innovation was incorporation of depthwise separable convolutions. It was first developed by Laurent Sifre during an internship...

allow arbitrary "postposition + verb" sequences to act as transitive separable prefix verbs (e.g. in + lopen → inlopen), but such an analysis would not...

easy to compute. It is a measure deriving from the PPT criterion for separability. It has been shown to be an entanglement monotone and hence a proper...

(USDA) 1963, 2002 "Beef, roasted, cooked, select, trimmed to 0" fat, separable lean and fat, boneless, tenderloin roast, loin nutrition facts and analysis"...

mechanics. An entangled state is a linear superposition of separable states. Presumably, separable states are not connected by any wormholes, but yet a superposition...

are two competing hypotheses developed for testing RST predictions. The separable systems hypothesis (SSH) is defined by two independent systems, reward...

generalizes the notion of a pure state. Let H {\displaystyle H} denote a separable complex Hilbert space and ( X , M ) {\displaystyle (X,M)} a measurable...

almost surely separably valued (or essentially separably valued) if there exists a subset N ⊆ X with μ(N) = 0 such that f(X \ N) ⊆ B is separable. A function...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

used single-layer perceptrons, which were restricted to solving linearly separable problems. These limitations were highlighted in the book Perceptrons by...

/ F  finite separable ⁡ Gal ⁡ ( E / F ) {\displaystyle \operatorname {Gal} ({\overline {F}}/F):=\varprojlim _{E/F{\text{ finite separable}}}{\operatorname...

deriving from the fact that at one time it would have been made as two separable pieces. They are commonly made of wood, similar to many other kinds of...

Alexandrov double arrow space and the two arrows space − All compact separable ordered spaces are order-isomorphic to a subset of the split interval...

(and later poetry), but not used in Attic prose.[citation needed] Such separable verbs are also part of the normal grammatical usage of some modern languages...

Merstallinger, A.; et al. (November 2009). "Assessment of Cold Welding between Separable Contact Surfaces due to Impact and Fretting under Vacuum" (PDF). ESA....

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

\mathbf {F} } be an arbitrary collection of non-degenerating balls in a separable metric space such that R := sup { r a d ( B ) : B ∈ F } < ∞ {\displaystyle...

considerably simpler for algebras on separable spaces and most applications to other areas of mathematics or physics only use separable Hilbert spaces. Note that...

Bloch. Mathematically each quantum mechanical system is associated with a separable complex Hilbert space H {\displaystyle H} . A pure state of a quantum...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

animation CPR mannequin (Actar 911) G-suit Ardox spiral nail Automatic lubricating cup Crash-position indicator Caulking gun Separable baggage check...

Sales; E. Semerad; B. D. Dunn (2009). Assessment of Cold Welding between Separable Contact Surfaces due to Impact and Fretting under Vacuum (PDF). European...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

or to determine the extent of which classification is possible, for separable simple nuclear C*-algebras. We begin with the abstract characterization...

cubesats and 1 non-separable experiment SSO ESA Second test flight, "Onward and Upward". This launch will carry 5 cubesats and 1 non-separable experiment as...

If S {\displaystyle S} is also separable, then P ( S ) {\displaystyle {\mathcal {P}}(S)} is metrizable and separable, for example by the Lévy–Prokhorov...

cosmic space is any topological space that is a continuous image of some separable metric space. Equivalently (for regular T1 spaces but not in general)...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

243 kg 646 × 0.25 kg (up to 120 mm RHA armor-piercing) 260 sec 9M55F Separable HE-Fragmentation 258 kg 9M55C Thermobaric 243 kg 9M528 HE-Fragmentation...

{F}}(\rho ,\sigma ).} It is possible to carry out the optimization over separable states, rather than over general quantum states and define F S , s e p...

with a Hermitian scalar product, with the corresponding norm being both separable and complete. In the same papers he also proved the general form of the...

amplitude profiles are separable in x and y using Cartesian coordinates), Laguerre–Gaussian modes (whose amplitude profiles are separable in r and θ using cylindrical...

completely classified. The primitive element theorem states that every finite separable extension is a simple extension. For a field of characteristic 0 such...

the separability conditions, so discrete-time stochastic processes are always separable. A theorem by Doob, sometimes known as Doob’s separability theorem...

(ICLR). Chollet is the author of Xception: Deep Learning with Depthwise Separable Convolutions, which is among the top ten most cited papers in CVPR proceedings...

B. Werner states are separable for p ≥ 1⁄2 and entangled for p < 1⁄2. All entangled Werner states violate the PPT separability criterion, but for d ≥...

state of another as cloning specifically refers to the creation of a separable state with identical factors. For example, one might use the controlled...

DBSCAN can find non-linearly separable clusters. This dataset cannot be adequately clustered with k-means or Gaussian Mixture EM clustering....

'haustellum'. The proboscis consists of two tubes held together by hooks and separable for cleaning. The proboscis contains muscles for operating. Each tube...

brief summary of some of the most frequently used methods. Using the separability property of the Gaussian kernel g N ( x 1 , … , x N , t ) = G ( x 1 ...

species have sometimes been treated as the same species. The two are separable on the basis of genetic evidence, calls, plumage, and bare parts, and...

holds. Note that the theorem holds trivially for separable states. If the shared state σ is separable, it is clear that any local operation by Alice will...

utilitarian function. Both stress that Tyson's face tattoo is conceptually separable from his body. Bradley concludes that tattoos are copyrightable and that...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

has a base consisting of clopen sets. The three notions above agree for separable, metrisable spaces (see Inductive dimension § Relationships between dimensions)...

Later, Burstein et al. (2011) generalized this result to intervals of separable permutations. It is known that, asymptotically, at least 39.95% of all...

their meaning is not the sum of their parts. Separable verbs are used widely in Pennsylvania Dutch, and separable verbs can even be formed with English roots...

the continuum. Phys. Rev. Lett. 107, 183901 (2011). Robnik, M. A simple separable Hamiltonian having bound states in the continuum. J. Phys. A 19, 3845...

human pleasure in orbitofrontal cortex; identification of hotspots and separable brain mechanisms for generating 'liking' and 'wanting' for the same reward;...

(local base) second-countable space: the topology has a countable base separable space: there exists a countable dense subset Lindelöf space: every open...

Separable extension An extension generated by roots of separable polynomials. Perfect field A field such that every finite extension is separable. All...

interesting projection usually denoted by ΠR(a) or εs(a) with image a separable subalgebra denoted by HR or Hs); a ( 1 ) S ( a ( 2 ) ) = ϵ ( 1 ( 1 ) a...

bearing can sustain. Tapered roller bearings are separable into a cone assembly and a cup. The non-separable cone assembly consists of the inner ring, the...

surrounding environment. There are, historically, six experimentally separable ways in which sound waves are analysed. They are: pitch, duration, loudness...

Moreover, the Hahn–Banach theorem implies the Banach–Tarski paradox. For separable Banach spaces, D. K. Brown and S. G. Simpson proved that the Hahn–Banach...

Greek." Woodhouse 2009, p. 171: "This question is of course only just separable from the question of which languages within Indo-European are most closely...

In mathematical logic, an effective Polish space is a complete separable metric space that has a computable presentation. Such spaces are studied in effective...

the coordinate axes. Only the Gaussian function is both separable and isotropic. The separable forms of all other window functions have corners that depend...

approximated by the difference of Gaussians (DoG) function, because the DoG is separable. It can therefore save considerable computation time in two or more dimensions...

second) part of the separable verb is placed here, but still separated from the conjugated (normally first) part. If the verb is not separable or periphrastical...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

in question to be sure and indissoluble, of the other to be varied and separable; and thus the question is decided, and the former nature is admitted as...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

structures, while theorems of analysis and topology are restricted to separable spaces. Many principles that imply the axiom of choice in their general...

authored a seminal paper on the subject of coroutines, titled "Design of a Separable Transition-diagram Compiler", which included the first published explanation...

medium to small flattened sphere. Satsumas usually have 10 to 12 easily separable segments with tough membranes. The flesh is particularly delicate, and...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

cannot be placed in a single organ, such as the heart or brain, nor is it separable from the body (except after the body's death). In the fourth book of De...

mechanics, observables correspond to linear self-adjoint operators on a separable complex Hilbert space representing the quantum state space. Observables...

couplings are fifth-wheel coupling and automatic. In some applications, no separable coupling is fitted, and the trailer is bolted to the tractor unit, using...

broad umbo. Its surface is smooth and viscous when moist, covered by a separable gelatinous pellicle. It is chestnut to ochraceous brown to caramel in...

isolate the motor circuit. Three-phase power enters each controller through separable connectors. The motor is wired to terminals in the controller. Motor control...

the disjoint union of points, each of which is the spectrum of a finite separable field extension of the residue field κ ( y ) {\displaystyle \kappa (y)}...

of interest on the spaces ℓp, all of which are separable and uniform convex, for 1 < p < ∞. In separable and uniform convex spaces, distortability is easily...

Tell me, can one at all denote thinking and feeling as things entirely separable? I cannot imagine a sublime intellect without the ardor of emotion. — Webern...

Note that IEEE 315-1975 defines separate class designation letters for separable assemblies (class designation 'A') and inseparable assemblies (class designation...

and both are in respectable use. Absolute construction – Word or phrase separable from adjacent syntax Conjunct – Semantic or grammatical clustering of...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

− cos ⁡ σ {\displaystyle \Phi =U{\sqrt {\cosh \tau -\cos \sigma }}} A separable equation is then obtained. A particular solution obtained by separation...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

automorphic representations. From a reductive algebraic group over a separably closed field K we can construct its root datum (X*, Δ,X*, Δv), where X*...

penetration), reconfiguring alien space as absolute, quantifiable and separable (as property)." David Livingstone stresses "that geography has meant different...

thought, believe that ethereal spirit and physical manifestation are not separable in any sense and that a reverence of Ahura Mazda's creations is ultimately...

separable, which means that, if they have a multiple root, then the polynomial p is not irreducible. It is not known if there is an always separable resolvent...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

situation: G is a commutative group scheme over a field K, Ks is the separable closure of K, and A = G(Ks) (the Ks-valued points of G). In this case...

for such designs and various Moultons over the years have been made in separable versions allowing relatively easy dismantling for transportation or storage...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

from the Goats': Does the Daily Spiritual Experiences Scale Encapsulate Separable Theistic and Civility Components?". Social Indicators Research. 110 (1):...

{\displaystyle \gamma } . The metric space (P∞(M), W∞) is complete if (M, d) is separable and complete. Here, P∞ is the space of all probability measures with bounded...

the Hilbert cube as a metric space, indeed as a specific subset of a separable Hilbert space (that is, a Hilbert space with a countably infinite Hilbert...

momenta, S {\displaystyle S} will be completely separable if the potential energy is additively separable in each coordinate, where the potential energy...

Psychologists Jillian Jordan and David Rand argue that virtue signalling is separable from genuine outrage towards a particular belief, but in most cases, individuals...

states are given by the rays, i.e. the one-dimensional subspaces, of some separable complex Hilbert space. The Wightman axioms require that the Poincaré group...

which are called separable partial differential equations, and the domain is generally a rectangle (a product of intervals). Separable PDEs correspond...

or side of a dress or skirt to facilitate dressing; attach or detach a separable part of the garment to or from another, as in the conversion between trousers...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

(410a) Woodhouse 2009, p. 171: "This question is of course only just separable from the question of which languages within Indo-European are most closely...

say that p doesn't divide n, since otherwise this can fail even to be a separable extension). In general, however, the Galois groups of n-th roots of elements...

converges to f(x). If A is a separable C*-algebra, the weak-* topology is metrizable on bounded subsets. Thus the spectrum of a separable commutative C*-algebra...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

4:25) based on the plan of God. For Paul the "power of the cross" is not separable from the resurrection of Jesus. Furthermore, Paul highlighted the idea...

CG with separable costs and resource-independent weights with eight players in which no PNE exists. When cost functions are additively-separable with linear...

Fundamental theorem of calculus Antidifferentiation L'Hôpital's rule Separable differential equations AP Calculus BC is equivalent to a full year regular...

Henselian local ring is called strictly Henselian if its residue field is separably closed. By abuse of terminology, a field K {\displaystyle K} with valuation...

infinite-dimensional, separable, metric Fréchet manifold X {\displaystyle X} can be embedded as an open subset of the infinite-dimensional, separable Hilbert space...

layers, notable for being able to distinguish data that is not linearly separable. multi-swarm optimization A variant of particle swarm optimization (PSO)...

sacred in Tonga and is often considered the physical manifestation of a separable soul. Mayan people associated bats with the gateway to the realm of the...

is separable and metrizable, then ( X ′ , σ ( X ′ , X ) ) {\displaystyle \left(X^{\prime },\sigma \left(X^{\prime },X\right)\right)} is separable. If...

barren-ground caribou (R. t. arcticus), although sharing ancestry, were separable at the subspecies level; that Finnish forest reindeer (R. t. fennicus)...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

Stinespring factorization theorem extends the above result to arbitrary separable Hilbert spaces H and G. There, S is replaced by a trace class operator...

optimal reception efficiency). Optimal erasure codes are maximum distance separable codes (MDS codes). Parity check is the special case where n = k + 1. From...

y ∈ C such that x < y, then there exists z ∈ S such that x < z < y. (separability axiom) C has no first element and no last element. (Unboundedness axiom)...

Zittlau, Steffen (1 July 2015). "Multidimensional Spatial Voting with Non-separable Preferences". Political Analysis. 23 (3): 415–428. doi:10.1093/pan/mpv013...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

sacred in Tonga and is often considered the physical manifestation of a separable soul. In the Zapotec civilization of Mesoamerica, the bat god presided...

Fréchet-Nikodym metric. The resulting metric space is separable if and only if L2(μ) is separable. If μ ( X ) , μ ( Y ) < ∞ {\displaystyle \mu (X),\mu...

Tsirelson's problem in quantum information theory The predual of any (separable) von Neumann algebra is finitely representable in the trace class. In...

separated spaces (defined below), which are somewhat related but different. Separable spaces are again a completely different topological concept. There are...

Kirchberger's theorem is a theorem in discrete geometry, on linear separability. The two-dimensional version of the theorem states that, if a finite set...

memory, are pervasive in schizophrenia. Although these functions are separable, their dysfunction in schizophrenia may reflect an underlying deficit...

absolute – Grammatical construction Disjunct (linguistics) – Word or phrase separable from adjacent syntax Genitive absolute – Grammatical construction in Ancient...

arise in practice. As an example, a separable Hilbert space can only have a countable Schauder basis, but a non-separable Hilbert space may have an uncountable...

molecular systematics has suggested there are four clades and 11 genetically separable populations, and the subspecies will probably have to be redefined. Western...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

technique in pattern recognition. It is not, however, optimized for class separability. However, it has been used to quantify the distance between two or more...

or, even more specifically in reference to algebras of operators on a separable Hilbert space, endowed with the operator norm topology. In the case of...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

increases the range of luminance available for each color. HDR and WCG are separable but complementary technologies. Standards-compliant HDR display also has...

was scrubbed due to problems with the rocket. The second stage with non-separable payload was inserted into a 2,400 km (1,500 mi) × 19,300 km (12,000 mi)...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

stopped in order to sing' However, the phrase to sing is quite separate and separable She stopped for a moment to sing She stopped what she was doing to sing...

a technical property which always holds in practice. Separability. A production set is separable into inputs and outputs if every field is either non-negative...

together", with saam being misinterpreted as with. In Afrikaans, saamkom is a separable verb, similar to meekomen in Dutch and mitkommen in German, which is translated...

In mathematics, there are up to isomorphism exactly two separably acting hyperfinite type II factors; one infinite and one finite. Murray and von Neumann...

missile utilizes a liquid-fueled Scud booster and is equipped with a separable warhead. After engine burnout, the KN-18's warhead adjusts its trajectory...

problem is called non-separability. There are several approaches for eliciting voters' preferences when they are not separable: If there are only few...

PMID 16281289. Cunningham WA, Johnson MK, Raye CL, et al. (December 2004). "Separable neural components in the processing of black and white faces". Psychological...

The Guardian, stating "the notion that self-propelling technology is separable from capitalism is a deep theoretical error." Aaron Bastani's Fully Automated...

while others violate it. As a topological space, the real numbers are separable. This is because the set of rationals, which is countable, is dense in...

have a hypermelanic lineage, the satin bowerbird, but this seems well separable as a monotypic genus Ptilonorhynchus, as is the "maypole-building" golden...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

Lucas numbers 1881 = tricapped prism number 1882 = number of linearly separable Boolean functions in 4 variables 1883 = number of conjugacy classes in...

c {\displaystyle {\mathfrak {c}}} to be the class of metric spaces or separable metric spaces. The notion of ANRs is due to Borsuk. A closely related...

morphemes there are per word) degree of fusion between morphemes (how separable the inflectional morphemes of words are according to units of meaning...

commonly in use are be-, ent-, er-, ge-, miss-, ver-, and zer- (see also Separable verb). be- expresses strengthening or generalization. ent- expresses negation...

quantum teleportation with a fidelity impossible to achieve with only separable states. Paweł Horodecki was educated in Poland, receiving an M.Sc from...

Galois extensions, which are in particular separable. General field extensions can be split into a separable, followed by a purely inseparable field extension...

belief stated that the personage of Jesus and the spirit of Jesus were separable. This meant that Jesus was simply the name of the body of an ordinary...

Whitney and Leonard Franklin "Mac" McCollum. She achieved a unique and separable identity as a philanthropist and community organizer in Houston, Texas...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

not separable, in operator norm. One can compare this with the fact that the sequence space ℓ ∞ {\displaystyle \ell ^{\infty }} is not separable. The...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

of the veins into many anastomosis stringers, so that the ore is not separable from the country rock. One of the largest silver lodes was the Comstock...

y):1/4<y<1/2\}} for 0 ≤ x ≤ 1 {\displaystyle 0\leq x\leq 1} . So S is not separable, since any dense subset has to contain at least one point in each U x...

(2002). "RBF neural network center selection based on Fisher ratio class separability measure". IEEE Transactions on Neural Networks. 13 (5): 1211–1217. Bibcode:2002ITNN...

provide a separable security access device by July 1, 2000, which could be used by third-party devices to access digital cable networks. The separable security...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

generalization both of K-homology and K-theory as an additive bivariant functor on separable C*-algebras. Klein geometry More specifically, it is a homogeneous space...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

rapper and member of the American hip-hop trio Migos Offset (botany), a separable part of a plant that can develop into a new, independent plant Offset...

personality traits Openness to experience Composed of two related but separable traits, Openness to Experience and Intellect. Behavioral aspects include...

infinite-dimensional separable Hilbert spaces are isomorphic to ℓ 2 ( ℵ 0 ) {\displaystyle \ell ^{\,2}(\aleph _{0})\,} . Separability being important for...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

processes to modify their meanings and grammatical functions, and the easily separable affixes characteristic of agglutinative languages are limited. Czech inflects...

Golyandina et al., 2018). ‘Caterpillar-SSA’ emphasizes the concept of separability, a concept that leads, for example, to specific recommendations concerning...

Beltrami identity may be used to express the path of the string as a separable first order differential equation L − y ′ ∂ L ∂ y ′ = μ g y 1 + y ′ 2...

means of transporting or propelling the weapon where such means is a separable and divisible part from the weapon. Also called WMD. This may also refer...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

phenomena are non-physical, or that the mind and body are distinct and separable. Thus, it encompasses a set of views about the relationship between mind...

Spirit is integral to being a Christian, others believe that it is not separable from conversion and no longer marked by glossolalia. Pentecostals appeal...

power plugs and sockets § Hubbell's inventions U.S. Patent #774,250, Separable Attachment Plug U.S. Patent #565,541, Socket for Incandescent Lamps "Hubbell...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

lamp holders, key sockets, soon followed the same path Later, Hubbell's "separable plug" design took shape on the drawing board back in Bridgeport, and then...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

multistability and invariance. These principles are not necessarily separable modules to model individually, but they could be different aspects of...

(from Greek kenós 'empty') systems with graphemes that lack any such separable meaning (like letters). Many classifications define three primary categories...

the (Kleinian) imaginary part-object, an element which is imagined as separable from the rest of the body. In the Seminar Le transfert (1960–1961) he...

3-colorable if it has more than three 3-colorings. Any separable link with a tricolorable separable component is also tricolorable. If the torus knot/link...

with a slight depression in the center. It is viscid when moist from a separable gelatinous pellicle. The margin is slightly translucent-striate when moist...

joint ρ A B {\displaystyle \rho ^{AB}} that are separable. A density matrix on a composite system is separable if there exist p k ≥ 0 , { ρ 1 k } {\displaystyle...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

One of the largest gains in accuracy over writing the wave function separably comes from the introduction of the so-called Jastrow factor. In this case...

boundaries, without any modeling or shading. Human forms can be divided into separable, component parts, while architectural forms are not realistic, but bound...

respect to the basis with which one is working; this corresponds to a separable partial differential equation. Therefore, a key technique to understanding...

The Prewitt operator is based on convolving the image with a small, separable, and integer valued filter in horizontal and vertical directions and is...

completely uniformizable spaces. A topological space homeomorphic to a separable complete metric space is called a Polish space. Since Cauchy sequences...

some quantum states that cannot outperform separable states in quantum metrology, can be better than separable states in the multi-copy case, hence their...

necessary condition a mixed state must satisfy in order for it to be separable Reduced mass, the "effective" inertial mass appearing in the two-body...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

(650-nautical-mile) range, required ceramic composite heat shielding on separable reentry vehicles (it was no longer possible for the entire rocket structure...

it is a separable complete metrizable space and that a Souslin space is the continuous image of a Polish space. The weak dual of a separable Fréchet space...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

ω 1 ) {\displaystyle [0,\omega _{1})} is first-countable, but neither separable nor second-countable. The space [ 0 , ω 1 ] = ω 1 + 1 {\displaystyle [0...

Conformers/rotamers usually differ little in their energies, so they are almost never separable in a practical sense. Rotations about single bonds are subject to small...

of the expedition included a description of platinum as being neither separable nor calcinable. Ulloa also anticipated the discovery of platinum mines...

in number theory. Given a field K, the multiplicative group (Ks)× of a separable closure of K is a Galois module for the absolute Galois group. Its second...

first cycle Kumlien's gull photographed in Toronto, Ontario: Birds with white wingtips such as this may not be separable from nominate L. glaucoides....

semialgebraic. semicontinuous A semicontinuous function. separable A topological space is separable if it has a dense at most countable subset. sequence A...

uniform topology; this is the Arzelà–Ascoli theorem. A metric space is separable if and only if it is homeomorphic to a totally bounded metric space. The...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

reports of serotonin-induced mental disturbance* in man that are clearly separable from the natural anxiety initiated by the profound peripheral effects...

Sturm–Liouville problems occur very frequently, particularly when dealing with separable linear partial differential equations. For example, in quantum mechanics...

Existence of left-invariant states. There is a left-invariant state on any separable left-invariant unital C*-subalgebra of the bounded continuous functions...

refined design featured a funnel-shaped cavity to augment the sound, separable from the body of the stethoscope. His clinical work allowed him to follow...

space. Leonard Gross provided the generalization to the case of a general separable Banach space. The notion of a Banach space itself was discovered independently...

with Greek." Woodhouse 2009, p. 171:This question is of course only just separable from the question of which languages within Indo-European are most closely...

either for possible removal and replacement via future servicing, or as a separable, reusable spacecraft, leaving a qualified space tug in cislunar space...

_{L/K}(\alpha )=[L:K(\alpha )]\sum _{j=1}^{n}\sigma _{j}(\alpha ).} If L/K is separable then each root appears only once (however this does not mean the coefficient...

controller. This problem is more difficult to solve because it is no longer separable. Also, the solution is no longer unique. Despite these facts numerical...

the secret value X {\displaystyle X} is a vector of many individually separable values. X = ( x 1 , x 2 , . . . , x n ) {\displaystyle X=(x_{1},x_{2}...

morphism of varieties from X to Y such that the function field of Y is separably closed in that of X. Then Zariski's connectedness theorem says that the...

modifiable layers learned internal representations to classify non-linearly separable pattern classes. Subsequent developments in hardware and hyperparameter...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

Schrödinger equation for the wavefunction of an atom with one electron is a separable partial differential equation. (This is not the case for the neutral helium...

in the early 1970s convinced most botanists that the genera are easily separable. Research by van Wyk and colleagues in South Africa suggests the genus...

Second-countable space – Topological space whose topology has a countable base Separable space – Topological space with a dense countable subset Sequential space –...

elements of architectural design Articulation (botany), a joint between two separable parts, as a leaf and a stem; see Glossary of botanical terms Articulation...

The bygones principle can also be formalised as the notion of "separability". Separability requires agents to take decisions by comparing the available...

hotly debate the older, commonplace position that the idea of a soul, separable from the body, played little or no role in preexilic Israel" and that...

The speech track "Have a Banana!" from the original version was not separable from "A Hard Day's Night", so the song and speech were merged into a single...

Sine-Gordon equation Sturm–Liouville theory of orthogonal polynomials and separable partial differential equations Universal differential equation Calabi...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

rate of substitution" (the ratio of utility of states, when utility is separable and additive, though discounted by the risk-neutral rate), a (discounted)...

matrices are diagonal, separable approaches can be used, which are separable operations in each dimension. Although separable approaches might serve less...

that inner product's isotropy subspaces. This definition is almost never separable, in part because, in physical applications, "most" of the space describes...

(not necessarily separable) Hilbert space. The problem has been solved in the affirmative for special cases (specifically for separable and Type-I C*-algebras)...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

over the finite field with p elements (see Separable polynomial: the point here is that P is not separable). If L is the field extension K(T 1/p) (the...

advanced driver-assistance systems. It can be used to improve pedestrian separability and object classification compared with conventional RGB cameras, and...

about religion in contemporary society he argues that there are three separable, though naturally connected debates: (a) a metaphysical debate about what...

Weierstrass approximation theorem, one can show that the space C[a, b] is separable: the polynomial functions are dense, and each polynomial function can...

Used in Support Vector machines in cases where the data is not linearly separable. Used in Microelectronics to represent the distance from a p-n junction...

uncontrollable aspects of decision making thereby are made logically separable, as pointed out in the introduction. This separation of will from action...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

shape. Thus where material comes from, and what has been done to it are separable and of equal significance in collaborations. In Stone's estimation, supported...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

protagonist a tragic story about siamese twins who shared too many organs to be separable at birth. She had offered to stay with them so they would not die alone...

Semisimplicity is closely related to separability. A unital associative algebra A over a field k is said to be separable if the base extension A ⊗ k F {\displaystyle...

processed in each dimension separately. Such systems are referred to as separable systems. Below are several approaches on the design of multidimensional...

through a 5→4 bit S-box. Mix adjacent 4-bit blocks using a maximum distance separable code over GF(24). Permute 4-bit blocks so that they will be adjacent to...

Compartmental-Type, Self-Cooled, Three-Phase Distribution Transformers for Use with Separable Insulated High-Voltage Connectors, 34,500 Grd/19,920 Volts and Below;...

HD 178911, a triple system consisting of a close binary and a visually separable sunlike star. The sunlike star has a planet with over 6 Jupiter masses...

preparatory, prepare, repair, reparable, reparation, reparative, separability, separable, separate, separation, separative, separator, separatory, separatrix...

essential. Better amortized time cannot be achieved within the class of separable pointer algorithms. Disjoint-set data structures model the partitioning...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

σ-algebra; for example, the norm topology and the weak topology on a separable Hilbert space lead to the same Borel σ-algebra. Not every σ-algebra is...

{\frac {(x-y)^{2}}{4}}\right),} which is often stated equivalently as a separable kernel, ∑ n = 0 ∞ H n ( x ) H n ( y ) n ! ( u 2 ) n = 1 1 − u 2 e 2 u...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

upon what organs are shared among the twins and if they are surgically separable, usually only one of the twins makes it through the surgery or they both...

Xiong's reasoning is shown in his 1985 version of New Doctrine: If they are separable, function will differ from original reality and exist independently, and...

practical calculational value when the Hamilton–Jacobi equation is completely separable, and the separation constants can be solved for, as functions on the phase...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

a countable base of open sets) is a separable space (it has a countable dense subset). A metric space is separable if and only if it is σ-compact. Every...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

p. 208: Up to 1913 we used the phrase 'radio elements chemically non-separable' and at that time the word isotope was suggested in a drawing-room discussion...

although whether the purported antianxiety effects of meprobamate are separable from its sedative effects is not known. Its effectiveness as a selective...

hazard[better source needed]. Electrical utilities use silicone grease to lubricate separable elbows on lines that must endure high temperatures. Silicone greases generally...

In Theories of the Information Society, he examined six analytically separable conceptions of the information society, arguing that all are suspect,...

Brauer and received her degree in June 1935, with a thesis concerning separable normal extensions. After her doctorate, Stauffer worked as a teacher for...

uncle]][PP[P from][NP Detroit]]]]] According to Chomsky (1975), the separability of the indirect object is determined by the complexity of the direct...

{\displaystyle J} are homogeneous functions of the same degree, into the separable differential equation x d v d x = − J ( 1 , v ) I ( 1 , v ) − v . {\displaystyle...

C.; Krause, L. N. (April 1968). "Performance of a venturi meter with separable diffuser" (PDF). NASA. Archived (PDF) from the original on 2022-11-30...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

that they actually comprise two subspecies of the goldcrest that are separable on voice; R. r. teneriffae occurring on Tenerife and the newly described...

defined above. For uncountable sets I {\displaystyle I} this is a non-separable Banach space which can be seen as the locally convex direct limit of ℓ...

special cases can also be explained using local hidden variables. For separable states of two particles, there is a simple hidden-variable model for any...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

u ⊗ v {\displaystyle u\otimes v} then w {\displaystyle w} is called a separable state. Otherwise, w {\displaystyle w} is said to be an entangled state...

from any other vector in the sequence, thereby avoiding redundancy. Separability: Through linear addition, the signals can be easily separated. Statistical...

Upadhyay, N.J.; Nunes, F. M.; Arbanas, G.; Eremenko, V.; et al. (2013). "Separable representation of phenomenological optical potentials of Woods-Saxon type"...

in our lives a separable spite, When it comes to their compassion there is only one matter: love. But in reality, there is a "separable spite" that will...

Aarne-Thompson-Uther Index as tale type ATU 412, "The Maiden (Youth) with a Separable Soul in a Necklace". Folklorist Stith Thompson included in the same tale...

prefixed to verbs or to action nouns. In Vedic, these prepositions are separable from verbs; in classical Sanskrit the prefixing is obligatory. The twenty...

elaborated on CMF: The CMF is not a Cartesian dualistic phenomenon; it is not separable from the brain. Rather, it is proposed to be a localizable system property...

the difference. In practice, this is faster because Gaussian blur is a separable filter. The difference of Gaussians can be thought of as an approximation...

phrases, that are made up of one or more separable affixes, and one or more nouns. Examples of the separable affixes may be found in List of family name...

(notably on the three-body problem), analytic mechanics (the Levi-Civita separability conditions in the Hamilton–Jacobi equation) and hydrodynamics. Born into...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

Proceedings Separability of Proceedings Publication Authorization for Appropriations Authorization for Expenditures Cooperation Separability of Provisions...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

of as decomposing a matrix into a weighted, ordered sum of separable matrices. By separable, we mean that a matrix ⁠ A {\displaystyle \mathbf {A} } ⁠ can...

properties for large molecules. There are cases where the assumption of separable motion no longer holds, which make the approximation lose validity (it...

"Catalytic molten metals for the direct conversion of methane to hydrogen and separable carbon". Science. 358 (6365): 917–921. Bibcode:2017Sci...358..917U. doi:10...

Givenchy founded his own luxury house and launched a new collection Les Séparables with some floaty skirts and puffy blouses made from raw cotton. Givenchy...

Polish A space is Polish if it is separable and completely metrizable, i.e. if it is homeomorphic to a separable and complete metric space. Polyadic...

control over the process. If a reservoir has fading memory and input separability, with help of a readout, it can be proven the liquid state machine is...

that any finite-dimensional Banach space has an Auerbach basis. In a separable space, Markushevich bases exist and in great abundance. Any spanning set...

Cooper TA (July 2005). "Colocalization of muscleblind with RNA foci is separable from mis-regulation of alternative splicing in myotonic dystrophy". J...

friction welding, which uses friction to heat two surfaces and create a non-separable weld. For rotary friction welding, this typically involves rotating one...

population size that a particular environment can sustain. As it is a separable differential equation, the population may be solved explicitly, producing...

the reals. A topological space with a countable dense subset is called separable. A topological space is a Baire space if and only if the intersection...

image-admissible Suslin. C {\displaystyle {\mathcal {C}}} is universally separable: There exists a countable subset C 0 {\displaystyle {\mathcal {C_{0}}}}...

Sunny Hill Resort Greenville Operating Col. Beauregard Hank Winter Can be separable for solo acts. Sally at the Piano 1983 Piano Lounge Holiday Inn Dallas...

functions and other quantum states can be represented as vectors in a separable complex Hilbert space. (The exact structure of this Hilbert space depends...

avoid toxic effluents, an effort to substitute sulfuric acid with easily separable and reusable solid acid catalysts has been studied around the world. The...

variables begins by assuming that the wave function u(r, t) is in fact separable: u ( r , t ) = A ( r ) T ( t ) . {\displaystyle u(\mathbf {r} ,t)=A(\mathbf...

11K63 were retired from use. The R-12 is a single-stage rocket with a separable single reentry vehicle. In the integrated fuel tanks the oxidizer was...

merits. The separability thesis states that law is conceptually distinct from morality. While law might contain morality, the separability thesis states...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

from the goats": Does the Daily Spiritual Experiences Scale encapsulate separable theistic and civility components?". Social Indicators Research. 110 (1):...

the vicinity of SU(2)-singlet states with collective measurements. For separable states of N {\displaystyle N} spin- j {\displaystyle j} particles ( Δ...

Behrens T. E.; Buckley M. J.; Rudebeck P. H.; Rushworth M. F. (2010). "Separable learning systems in the macaque brain and the role of orbitofrontal cortex...

80 nanosteradians). In principle, the mapping and numbering schemes are separable: the map projection onto the cube could be used with another bin-numbering...

clusters in a data set Parallel coordinates Structured data analysis Linear separability Driver and Kroeber (1932). "Quantitative Expression of Cultural Relationships"...

Hilbert manifold is a manifold modeled on Hilbert spaces. Thus it is a separable Hausdorff space in which each point has a neighbourhood homeomorphic to...

{\displaystyle T} is compact and H 1 , H 2 {\displaystyle H_{1},\,H_{2}} are separable, then ‖ T ‖ p := ( ∑ n ≥ 1 s n p ( T ) ) 1 / p {\displaystyle \|T\|_{p}:={\bigg...

give an enol, and chromatography of this enol on silica gel gave the separable diastereomers cis 17c (77%) and trans 17t (15%), which could be recycled...

-almost everywhere to a function g {\displaystyle g} taking values in a separable subspace B 0 {\displaystyle B_{0}} of B {\displaystyle B} , and such that...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

structural-reform proposal was not implemented, related concerns about separability, resolution planning, and the orderly wind-down of trading activities...

except in the context of separable words (words that can be broken in two parts and separated in regular usage such as separable verbs in German and Dutch)...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

Africa to 1.25 for the west coast of Great Britain. Let X be an arbitrary separable metric space. There is a topological notion of inductive dimension for...

Supreme Court decision that established what has become known as the "separability principle" in contracts with arbitration clauses. Following an appellate...

in Aut(L/K). The number of repeats in that list of each element is the separable degree [L:K(α)]sep. A theorem of Kronecker states that if α is a nonzero...

properties (subject to certain symmetries). This consequently applies to any separable potential in higher dimensions; the general conditions are not established...

predominantly a theorist and is most famous for his work on aggregation and separability of goods, and in this context he developed his famous Gorman polar form...

proof given above can be generalized in a way that does not rely on the separability of the domain. On a compact Hausdorff space X, for instance, the equicontinuity...

Potter series uses a larger minifigure body, with only the head being separable. Skeletons use the standard minifigure head, but unique torsos, arms,...

solution of Bessel's differential equation, which itself arises from separable solutions to Laplace's equation and the Helmholtz equation in cylindrical...

there exists a metric on X {\displaystyle X} that makes it a complete separable metric space in such a way that Σ {\displaystyle \Sigma } is then the...

morphology; others are agglutinative whose words tend to have many easily separable morphemes (such as Turkic languages); others yet are inflectional or fusional...

mimetic rings; 65 species in another study appeared to form six rings separable by both morphology and geography. Müllerian mimicry was discovered and...

to the uniform metric, C {\displaystyle C} is both a separable and a complete space: Separability is a consequence of the Stone–Weierstrass theorem; Completeness...

dissertation was called "Algorithmic Operators on Constructive Complete Separable Metric Spaces". In 1968, he received the Russian doctoral degree (corresponding...

Spinalis dorsi, the medial continuation of the sacrospinalis, is scarcely separable as a distinct muscle. It is situated at the medial side of the longissimus...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

would underestimate. A common task in classification is estimating the separability of classes. Up to a multiplicative factor, the squared Mahalanobis distance...

Fogelson; Keith Nuechterlein (2007). "Avoidant personality disorder is a separable schizophrenia-spectrum personality disorder even when controlling for...

{\rm {{d}(X)=\aleph _{0}}}} the space X {\displaystyle X} is said to be separable. The Lindelöf number L ⁡ ( X ) {\displaystyle \operatorname {L} (X)} of...

is not first countable (hence not metrizable) The box topology is not separable The box topology is paracompact (and hence normal) if the continuum hypothesis...

the infinite among the objects of sense (they do not regard number as separable from these), and assert that what is outside the heaven is infinite. Plato...

posterior brain damage: effects of lesion location and test structure on separable cognitive processes". Neuropsychologia. 38 (4): 388–402. doi:10...

entangled state. This can be proved mathematically. If the ground state is separable and can be expressed as | g ⟩ = | g ⟩ A ⊗ | g ⟩ B {\displaystyle |g\rangle...

applies to some of the variables, the mixed problem may be solved using separable least squares by letting X = [ X 1 X 2 ] {\displaystyle \mathbf {X} =[\mathbf...

sequence converging to a point in the other set. A topological space is separable exactly when there is a dense sequence of points. Sequences can be generalized...

or ellipsoidal or rectangular region (i.e., the median filter is not a separable filter).[citation needed] To demonstrate, using a window size of three...

contained in the set SEP {\displaystyle \operatorname {SEP} } of all separable operations. SEP {\displaystyle \operatorname {SEP} } contains all operations...

in general) Separation of variables, in mathematics to solve certain (separable) differential equations Separation principle, in control theory Separation...

nor separate, such as the Moulton, which comes in both fixed-frame and separable-frame versions. While BMX bikes also have ETRTO 406 mm ("20 inch") wheels...

Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective...

function of the multi-stage optimization problem satisfies a "backward separable" structure, then the appropriate Bellman equation can be found without...

space. The space D ′ ( U ) {\displaystyle {\mathcal {D}}^{\prime }(U)} is separable and has the strong Pytkeev property but it is neither a k-space nor a...

ℓ2. This was proved in 1969 by Rolewicz. On every infinite-dimensional separable Fréchet space there is a hypercyclic operator. On the other hand, there...

z_{2}} . A separable sequence is defined as x ( n 1 , n 2 ) = f ( n 1 ) g ( n 2 ) {\displaystyle x(n_{1},n_{2})=f(n_{1})g(n_{2})} For a separable sequence...

and his cousins, the brothers J.C. and Samuel Selden. The company made separable butt hinges and other light hardware products at a building called the...

Talagrand's concentration inequality for product probability spaces). Data separability by classical linear discriminants simplifies the problem of error correction...

state of the composite system is called a separable state. The density matrix of a bipartite system in a separable state can be expressed as ρ = ∑ k p k ρ...

often lost. An important class of matrix-valued reproducing kernels are separable kernels which can factorized as the product of a scalar valued kernel...

Banach in his book, Theory of Linear Operators. Banach asked whether every separable Banach space has a Schauder basis. A Schauder basis or countable basis...

chronopotentiometry is similar to polarography. Waves that are separable in polarography is also separable in chronopotentiometry. Chronopotentiometry is an effective...

making bast shoes. Several weeks of soaking makes bast fibers easily separable due to bacterial and fermentative processes known as retting. Denitrifying...

health training The basis are the concepts that "spirit and body are not separable" (心身一如: shinshin-ichinyo) and that it is integral to train both "body...

experts who have studied claustrophobia claim that it consists of two separable components: fear of suffocation and fear of restriction. In an effort...