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

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...

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...

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...

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

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 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...

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...

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...

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

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

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

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

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...

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

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...

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...

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

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

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

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

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)...

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 ) )...

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...

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...

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

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

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

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

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...

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

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

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

{\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...

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...

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...

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

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,...

called the separable Jacobian conjecture because Adjamagbo's condition guarantees that the field extension is separable. For the separable Jacobian conjecture...

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...

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...

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

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

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...

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...

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...

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...

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...

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

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...

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

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...

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

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...

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...

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

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

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...

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...

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...

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

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...

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

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...

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...

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...

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...

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

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

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

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...

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

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...

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...

(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...

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

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...

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...

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...

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...

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

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

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

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...

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

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

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)...

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...

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

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...

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...

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

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

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...

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...

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

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

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

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

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

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...

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...

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

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...

it concerns the study of a hierarchy of demons. Demons may be nonhuman separable souls,[clarification needed] or discarnate spirits which have never inhabited...

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

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

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...

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...

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

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...

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...

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...

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...

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

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...

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

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

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...

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...

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...

_{A}\otimes \phi _{B}\right)} is a valid joint state that is not separable. States that are not separable are called entangled. If the state for a composite system...

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...

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

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

are formally étale. Finite separable field extensions are formally étale. More generally, any (commutative) flat separable A-algebra B is formally étale...

(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;...

smooth for large enough r {\displaystyle r} . In general one has to use separable closures instead of algebraic closures. If F {\displaystyle F} is a field...

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...

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

topology. Thus, the Moore plane shows that a subspace of a separable space need not be separable. The Moore plane is first countable, but not second countable...

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...

category theorem, in which the complete metric space is also assumed to be separable, is provable in ZF with no additional choice principles. This restricted...

descent is an improvement of the coordinate descent algorithm to non-separable optimization by the use of adaptive encoding. The adaptive coordinate...

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

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

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

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...

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...

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...

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

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

state squeezing) compared to the best possible classical methods using separable states, i.e., states without quantum entanglement. If the metrological...

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

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

converges to the correct classification if: the training data is linearly separable* η {\displaystyle \eta } is sufficiently small (though smaller η {\displaystyle...

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

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

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)}...

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*...

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

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

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...

winning countries' names are engraved around the trophy base, which is separable from the trophy's main body. The trophy has a handle on each side. Key...

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

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...

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

Global Countdown Why is the No Video Signal Blue? Or, Color is No Longer Separable From Form, and the Collective Joins the Brightness Confound. 2014 Uncertainty...

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

_{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...

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...

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...

the context of Indo-European languages, the term is usually used for separable verb prefixes. Theoretically, any prefix could be called a preverbal element...

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

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...

ortho­complemented lattice is the lattice of closed linear subspaces of a separable Hilbert space, Constantin Piron, Günther Ludwig and others later developed...

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...

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...

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

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

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...

{\displaystyle \ell ^{\infty }} as a "universal" separable metric space (it isn't itself separable, hence the scare quotes) and to construct a general...

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)...

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

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

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

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...

(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...

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...

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...

repositioned after each use. Molded floss holder – two-piece Handle with separable prongs in Y shape Type I embrasures. Recommended where spacing or gag...

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

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

View from this Tower (Conceptual Separation) Conceptual Love Conceptual separability in Copyright Concept (disambiguation) This disambiguation page lists...

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

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...

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...

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 ⁡ (...

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

decomposition of an image processing filter into separable horizontal and vertical filters. Separable models often arise in biological systems, and the...

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...

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

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...

too: the number of separable objects is n / c ( R , d ) ( log ⁡ n ) d {\displaystyle n/c(R,d)(\log {n})^{d}} . All these separable subfamilies can be...

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

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

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

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

applications and is considered to be particularly useful on non-convex, non-separable, ill-conditioned, multi-modal or noisy objective functions. One survey...

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...

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...

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

σ 0 {\displaystyle \sigma _{0}} , D {\displaystyle \mathbb {D} } is a separable space. Thus, Skorokhod space is a Polish space. By an application of the...

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...

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

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...

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

compact Hausdorff space. It is a linearly ordered topological space that is separable but not second countable, hence not metrizable; its metrizable subspaces...

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

element of the self convolution of Lucas numbers 1882 = number of linearly separable Boolean functions in 4 variables 1883 = number of conjugacy classes in...

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...

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

path-connected. X is Lindelöf, then f(X) is Lindelöf. X is separable, then f(X) is separable. The possible topologies on a fixed set X are partially ordered:...

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

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

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

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 ...

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

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 ≥...

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

arduous for a contemporary speaker to consciously perceive inazuma as separable into two discrete words. Thus, the default spelling いなずま is used instead...

assets, balanced trade, fully flexible prices and exchange rates, and separability of production and consumption. The theorem was developed by economist...

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

T. Loud's Actions and Separable Plates with Compensating Tubes, Patented December 7, 1837....

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...

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

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...

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...

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

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

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...

$11 billion would go toward advanced semiconductor research and development, separable into $8.5 billion of that total going to the National Institute for Standards...

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

and known as the Rasiowa–Sikorski lemma. MA(2ℵ0) is false: [0, 1] is a separable compact Hausdorff space, and so (P, the poset of open subsets under inclusion...

proved that the closed unit ball in the continuous dual space of any separable normed space is sequentially weak-* compact (Banach only considered sequential...

theorem used to extend Galois theory to field extensions that need not be separable. It was introduced by Nathan Jacobson (1944) for commutative fields and...

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

a solid are fixed and bound in a lattice arrangement, yet they may be separable without losing their chemical identity. Thus, the solid is composed of...

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...

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

the standard Gaussian measure on the real line: a Borel measure γ on a separable Banach space X is called Gaussian if the push-forward of γ by any non-zero...

relations. These algebras were introduced as the first concrete examples of a separable infinite simple C*-algebra, meaning that as a Hilbert space, O n {\displaystyle...

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...

extension L/K is primary if and only if it is linearly disjoint from the separable closure of K over K. A subextension of a primary extension is primary...

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

immortal Mind–body dualism, the view that mind and body are distinct and separable Geist, a German word corresponding to ghost, spirit, mind or intellect...

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

black hole. The Hamiltonian for particle motion in Kerr spacetime is separable in Boyer–Lindquist coordinates. Using Hamilton–Jacobi theory one can derive...

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

incorporates the principle of kompetenz-kompetenz and recognizes the separability of the arbitration agreement from the underlying contract. Accordingly...

algebras), compact matrix quantum groups (which are structures on unital separable C*-algebras), and bicrossproduct quantum groups. Despite their name, they...

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...

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

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

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

Cohomology. In 1924, Alexandrov proved that in every open cover of a separable metric space, a locally finite open cover can be inscribed (this very...

The principal NPGs are: The J-series message schema is architecturally separable from the JTIDS/MIDS radio bearer. The physical and link layers — TDMA...

serves as a prototype for classification results for larger classes of separable simple amenable stably finite C*-algebras. Its proof divides into two...

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...

the minimal polynomial of α {\displaystyle \alpha } over F is not a separable polynomial. If F is any field, the trivial extension F ⊇ F {\displaystyle...

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...

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...

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...

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

permutations, co-twisted Baxter permutations Weak guillotine rectangulations separable permutations, { p 1 , p 2 } {\displaystyle \{p_{1},p_{2}\}} -avoiding...

a semisimple operator) if and only if the minimal polynomial of T is separable; i.e., a product of distinct irreducible polynomials. Given a finite-dimensional...

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...

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

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

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...

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

space of classical mechanics. In quantum mechanics a state space is a separable complex Hilbert space. The dimension of this Hilbert space depends on...

whether the challenged measure is an ordinary administrative act, a measure separable from an act of government, or an act of government. If it finds an act...

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...

sparse matrix techniques to be used on seemingly dense but "partially-separable" problems. The method is still useful for some problems. Around 2007,...

double oval. Value node (corresponding to each component of additively separable Von Neumann-Morgenstern utility function) is drawn as an octagon (or diamond)...

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

2020. Her publications include: B.M. Terhal, “Bell Inequalities and The Separability Criterion”, Physics Letters A 271, 319 (2000) B.M. Terhal and D.P. DiVincenzo...

1967, 293–298. V.I. Levenshtein, On the redundancy and deceleration of separable coding of natural numbers, Problems of Cybernetics, vol. 20, Nauka, Moscow...

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...

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

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...

(1968). For example, if A is the C*-algebra of compact operators on a separable Hilbert space, M(A) is B(H), the C*-algebra of all bounded operators on...

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

separated sets. Separability {p} is dense and hence X is a separable space. However if X is uncountable then X \ {p} is not separable. This is an example...

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...

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...

series. It is the world's first model to propose a new style of use with a separable style, allowing the display unit and the dial key unit to be detached...

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...

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

readers and writers in mind. Reading and writing, therefore, are never separable from social and cultural elements. A corollary point made by David Barton...

transporter erector launcher is a MAZ-543 truck with four axles. It also has a separable warhead that is separated after engine burnout to improve the trajectory...

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...

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

(schbrenga in Swabian) means 'to run'. This term/concept also is used as a separable verb, i.e., rumspringen ('to jump around') / er springt rum ('he jumps...

Relational algebra Rota–Baxter algebra Schur algebra Semisimple algebra Separable algebra Shuffle algebra Sigma-algebra Simple algebra Structurable algebra...

Soviet Army on 28 November 1950. The R-1A, a variant of the R-1 with a separable warhead, was tested in 1949. This development was largely in service of...

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

finally they become darker and the papery outer layer becomes easily separable. Wood Pale brown; light, soft, close-grained but weak. Specific gravity...

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

Inception") was published in 2017. It is a linear stack of depthwise separable convolution layers with residual connections. The design was proposed...

directly solve second- and fourth-order finite difference approximations to separable elliptic Partial Differential Equations in various coordinate systems...

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

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

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

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

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

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

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...

bins growing like Kd, the probability distribution is approximated by a separable function: g ( x 1 , x 2 , … ) = g 1 ( x 1 ) g 2 ( x 2 ) … {\displaystyle...

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

required for tensor separability. The faithful nature of the measure admits necessary and sufficient conditions of separability for pure states. Alternatively...

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

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...

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

abstract Wiener space where one defines a cylinder set Gaussian measure on a separable Hilbert space and chooses a Banach space in such a way that the cylindrical...

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

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

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...

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...

identifiability. This criterion requires that an intangible asset is separable from the entity or that it arises from a contractual or legal right. The...

that it is merely weakly measurable, at least when the Hilbert space is separable. This is an impressive result, as it allows one to define the derivative...

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...

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

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

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...

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...

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

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...

(always inseparable). When a masculine noun has the vocalic prefix i- (separable or inseparable), the masculine gender prefix w- changes to y-. The table...

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

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

complete inner product space. A Hilbert space is separable if and only if it has a countable basis. All separable Hilbert spaces are isomorphic. Jacobson (2009)...

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

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

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

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

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...

continuous maps from X to the space of Fredholm operators H→H, where H is the separable Hilbert space and the set of these operators carries the operator norm...

ease of maintenance and repair, upgradability, re-manufacturability, separability, disassembly, and reassembly are considered key elements for the transition...

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

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...

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...

(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...

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

Lego produced spherical figurines of a number of Star Wars planets, separable into two hemispheres. Although Yavin 4 is not a planet but a satellite...

2478/v10148-010-0013-x. ISSN 2083-4624. This question is of course only just separable from the question of which languages within Indo-European are most closely...

This notion of rank is called tensor rank; it can be generalized in the separable models interpretation of the singular value decomposition. We assume that...

of the projective line is available, if the extension is assumed to be separable. Hyperelliptic curves can be used in hyperelliptic curve cryptography...

Suppose also that the support of μ ∞ {\displaystyle \mu _{\infty }} is separable. Then there exist S {\displaystyle S} -valued random variables X n {\displaystyle...

property. every nuclear space possesses the approximation property. Every separable Frechet space that contains a Schauder basis possesses the approximation...

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...

Add-on to Utopia: TCoaN. 1993 Cannon Fodder Sensible Modern War RTS, separable troops move via way points. 1993 Metal Marines Namco Sci-fi DOS, SNES...

vowel is marked by an attached diacritic: . If is placed between the two separable parts of the vowel glyph, it represents an intervening /r/. The digit...

points. The number of isolated points of a topological space. Separable. A space is separable if it has a countable dense subset. First-countable. A space...

bodies, they shared the same unibody construction technology using a separable elastomer isolated front subframe assembly, a design which first appeared...

particles is separable, then the system's total quantum potential becomes the sum of the quantum potentials of the two particles. Exact separability is extremely...

slightly translucent-striate when moist but not viscid and without a separable gelatinous pellicle. The flesh is whitish to cream-colored, bruising blue...

roots of the cubic polynomial, we shall have (α/β)3 =1 and the cubic is a separable polynomial. Then L/K is a Kummer extension. More generally, it is true...

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...

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

quantum mechanically with its environment and such interaction is not separable from the system, a concept called an "open system". Decoherence has been...

Niklaus; Long, Mai; Feng, Liu (2017). Video frame interpolation via adaptive separable convolution. ICCV. arXiv:1708.01692. Huaizu, Jiang; Deqing, Sun; Varun...

Often macroeconomic models assume that agents' utility is additively separable in consumption and labor. I.e., frequently the period utility function...

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

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

this type of estimation, we select the multidimensional signal to be a separable function. Because of this property we will be able to view the Fourier...

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

Nicolae-Catalin; Ionescu, Radu Tudor; Khan, Fahad Shahbaz (20 June 2022). "SepTr: Separable Transformer for Audio Spectrogram Processing". arXiv:2203.09581 [cs.CV]...

placket front. similar opening, but in back. left and right front side not separable, put on over the head; with regard to upper front side opening: V-shaped...

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

processing, standard convolutional layers can be replaced by depthwise separable convolutional layers, which are based on a depthwise convolution followed...

above a great expanse. Space and mass in architecture are not entirely separable: as was noted by George Berkeley in 1709, two-dimensional human vision...

of k. X × k k s {\displaystyle X\times _{k}k_{s}} is irreducible for a separable closure k s {\displaystyle k_{s}} of k. X × k F {\displaystyle X\times...

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

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

the Arabic script continued into the 20th century. Swahili nouns are separable into classes, which are roughly analogous to genders in other languages...

coefficients in k. Integral element Lüroth's theorem Galois extension Separable extension Normal extension Fraleigh (2014), Definition 31.1, p. 283. Malik...

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

equivalently, Galois extension, since any subextension of a separable extension is separable) if and only if H {\displaystyle H} is a normal subgroup of...

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

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

countability axioms, R l {\displaystyle \mathbb {R} _{l}} is first-countable and separable, but not second-countable. In terms of compactness properties, R l {\displaystyle...

Taraki reportedly remarked, "Amin and I are like nail and flesh, not separable". Amin set about constructing a personality cult centered on Taraki. In...

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

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...

alternative discussion of the capitalization and collation issues around separable affixes in Dutch Van (Dutch). "Persoonsnamen". woordenlijst.org (in Dutch)...

computer mouse. His full name, "Plok the Exploding Man," highlighted his separable limbs. With John's encouragement, Ste moved to clean sheets of paper to...

-heit, -isch, etc.) In addition, German uses different stresses for separable prefixes and inseparable prefixes in verbs and words derived from such...

hypothesized that [the] Smalltalk user interface and the Smalltalk language are separable innovations. Consequently, most systems influenced by the Smalltalk user...

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

databases refers to any collection of works, data or other materials, separable from one another without the value of their contents being affected, including...

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...

Results show that the spatial and temporal distribution of aftershocks is separable into a dependence on space and a dependence on time. And more recently...

time t {\displaystyle t} , is given by the wave function belonging to a separable complex Hilbert space. As such, the inner product of two wave functions...

is the energy-density of the signal. A signal or system is said to be separable if it can be expressed as a product of 1-D functions with different independent...

where H s {\displaystyle H_{s}} is separable in some coordinate system, H n s {\displaystyle H_{ns}} is non-separable in the coordinate system in which...

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

dynamics U = exp ⁡ ( − i H θ ) . {\displaystyle U=\exp(-iH\theta ).} For separable states the bound discovered by Pezzé and Smerzi F Q [ ϱ , J l ] ≤ N {\displaystyle...

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

of the lesser spotted eagle but has proven quite distinct and readily separable by morphological, behavioral, ecological and DNA sequence data. The Indian...

never be dissociated from Himself", where the Law could be treated as separable from the one through whom it was given. The Greek text places the two...

than one mine. Let X {\displaystyle X} and Y {\displaystyle Y} be two separable metric spaces such that any probability measure on X {\displaystyle X}...

whole square if and only if the inactive cells have the pattern of a separable permutation. In any higher dimension, for any threshold, there is an analogous...

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...

compound; there exist compounds whose components are loosely connected as separable minor phrases; these can be termed "non-compoundified compound nouns"...

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...

semi-trailer truck in that the power unit is a permanent fixture, not a separable vehicle. Steering is accomplished via hydraulic cylinders that pivot the...

have lost their original grammatical function and have transitioned to separable affixes. A large number of prepositions and combinations are possible...

variety X is smooth over k if and only if E is a separable extension of k. Thus, if E is not separable over k, then X is a regular scheme but is not smooth...

(2018). "A comparison of three measures of cognitive load: Evidence for separable measures of intrinsic, extraneous, and germane load". IEEE Transactions...

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

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

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...

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

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

or grayish white when dry. The surface is viscid when moist from the separable gelatinous pellicle. The gills are adnate to adnexed to slightly subdecurrent...

Beer-Gabel M, Eliakim R (March 2012). "Oral Crohn's disease: is it a separable disease from orofacial granulomatosis? A review". Journal of Crohn's &...

weak* topology in functional analysis. If X {\displaystyle X} is also separable, the weak convergence is metricized by the Lévy–Prokhorov metric. If X...

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

is called an abstract (L)-space. Such spaces, under the assumption of separability, are isomorphic to closed sublattices of L1([0,1]). The classical mean...

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

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

closely related as previously thought, and that the Asian species may be separable as a new family, the Batrachostomidae. Although frogmouths were formerly...

inseparable from their bodies (mēnōg), men are immortal in essence but separable from their bodies (moving from gētīg to mēnōg condition), but dēws are...

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...

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...

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

2 {\displaystyle e^{-x^{2}}} . For a differential field F, if G is a separable algebraic extension of F, the derivation of F uniquely extends to a derivation...

based approaches, it is fast and easy to code up, it can be used for separable PDEs where no Green's function is known analytically and it can be made...

landmass forming a contiguous part of an even larger continent, though often separable by physiographic or political boundaries, e.g. the Indian subcontinent;...

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

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...

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

commutator subspace of a two-sided ideal of bounded linear operators on a separable Hilbert space is the linear subspace spanned by commutators of operators...

topological vector spaces (such as Banach spaces). Let H {\displaystyle H} be a separable Hilbert space, { e k } k = 1 ∞ {\displaystyle \left\{e_{k}\right\}_{k=1}^{\infty...

{\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...

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

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...

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...

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...

further into didymia and pure lanthana. Didymia, although not further separable by Mosander's techniques, was in fact still a mixture of oxides. In 1842...

that "property is not essentially a 'right to a thing', but rather a separable bundle of rights subsisting between persons which may vary according to...

countable partial sums, rather than finite partial sums. This space is not separable. Continued fraction Convergence tests Convergent series Divergent series...

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

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...

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

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...

involves the description of quantum system by vectors ('states') in a separable Hilbert space, and physical quantities as linear operators that act in...

< α ≤ 1 {\displaystyle C^{0,\alpha }(\Omega ),0<\alpha \leq 1} is not separable. The embedding C 0 , β ( Ω ) ⊂ C 0 , α ( Ω ) , 0 < α < β ≤ 1 {\displaystyle...

closely related to algebraic curves and their function fields; in the separable case, they may also be studied via finite or ramified covers of the projective...

2025-03-19. Chollet, François (2016). "Xception: Deep Learning with Depthwise Separable Convolutions". arXiv:1610.02357 [cs.CV]. "Keras backends". keras.io. Archived...

chironomid midge found in the Democratic Republic of the Congo. It is only separable from its congeners from details of the genitalia. It has previously been...

remarkable result of this first period [1930] is his topological embedding of separable metric spaces into compact spaces of the same (finite) dimension.*" In...

{\displaystyle M} -valued measurable functions, where M {\displaystyle M} is a separable metric space, on some measure space ( X , σ , μ ) {\displaystyle (X,\sigma...

Worthy (1998), reviewing new material, determined that they were not separable from the Australian population. These fossils were first found in 1930...

Zernike transform use symmetry properties of trigonometric functions, separability of radial and azimuthal parts of Zernike polynomials, and their rotational...

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...

their own independent, real existence. In other words, he believed in separability and locality. 3. Although at a superficial level, quantum events may...

For the interpolation of fractional luma sample positions HEVC uses separable application of one-dimensional half-sample interpolation with an 8-tap...

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...

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

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...

best way to differentiate the species by testing for the presence of separable gelatinous threads running along the bottom of the gills. This feature...

BCDs, the backplate and wing is a modular system, in that it consists of separable components. The core components of this system are: The backplate, a plate...

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...

étale over K♭. Since finite étale maps into a field are exactly finite separable field extensions, the almost purity theorem implies that for any perfectoid...

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

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...

Angela L.; Gross, James J. (2014). "Self-control and grit: Related but separable determinants of success". Current Directions in Psychological Science...

{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...

(For technical reasons, it is also convenient to assume that M is a separable space with respect to the metric d.) Let 1 ≤ p ≤ ∞. The pth central moment...

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

weighing risk and harm from philanthropy. He argued that the FTX case is not separable, as some in the EA community maintained, from the assumptions and reasoning...

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

Dictyosperma net seeds Arecaceae Arecales St G Didymocarpus double fruit (the separable capsule) Gesneriaceae Lamiales St G Diegodendron Diego-Suarez (present-day...

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

due to the lack of an efficient coordinate system. The existence of a separable Fourier kernel for a hexagonally sampled image allows the use of existing...