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Topics referred to by the same term
Look up separable in Wiktionary, the free dictionary. Separability may refer to: Separable algebra, a generalization to associative algebras of the notion
Separability
Topological space with a dense countable subset
on a separable space whose image is a subset of a Hausdorff space is determined by its values on the countable dense subset. Contrast separability with
Separable_space
Geometric property of a pair of sets of points in Euclidean geometry
In Euclidean geometry, linear separability is a property of two sets of points. This is most easily visualized in two dimensions (the Euclidean plane)
Linear_separability
Quantum states that are not entangled
The separability problem is a subject of current research. A separability criterion is a necessary condition a state must satisfy to be separable. In
Separable_state
Type of algebraic field extension
field is separable. It follows that most extensions that are considered in mathematics are separable. Nevertheless, the concept of separability is important
Separable_extension
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
Separability_problem
School of thought of philosophy of law and jurisprudence
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,
Legal_positivism
A} , we call A {\displaystyle A} a separable algebra over K {\displaystyle K} . It is useful to describe separability in terms of the element p := σ ( 1
Separable_algebra
Verb with a prefix which separates from the core verb in certain positions in a sentence
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
Separable_verb
Legal concept regulating rights of a creative work
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
Copyright
Algebraic field extension
a separable closure of K {\displaystyle K} . Since a separable extension of a separable extension is again separable, there are no finite separable extensions
Algebraic_closure
Type of vector space in math
separable Hilbert spaces are therefore isometrically isomorphic to the square-summable sequence space, ℓ 2 . {\displaystyle \ell ^{2}.} Separability was
Hilbert_space
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
Holomorphic_separability
Algebraic structure of set algebra
) . {\displaystyle (X,\,{\mathfrak {F}}).} A separable σ {\displaystyle \sigma } -algebra (or separable σ {\displaystyle \sigma } -field) is a σ {\displaystyle
Σ-algebra
Technique for solving differential equations
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 ) )
Separation_of_variables
Image-processing filter decomposable into two 1D filters
A separable filter in image processing can be written as product of two more simple filters. Typically a 2-dimensional convolution operation is separated
Separable_filter
Polynomial coprime with its derivative
was considered separable if each of its irreducible factors in K[X] is separable in the modern definition. In this definition, separability depended on the
Separable_polynomial
Quantum entanglement of more than 2 qubits
However, many separability criteria used in the bipartite setting can be generalized to the multipartite case. The characterization of separability in terms
Multipartite_entanglement
Non-separable wavelets are multi-dimensional wavelets that are not directly implemented as tensor products of wavelets on some lower-dimensional space
Non-separable_wavelet
Field extension that is not algebraic
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
Transcendental_extension
Thought experiment by Ibn Sina
doing so, this initial version focuses on the principle of existential separability, the self and its ability to conceptualize its existence. In an attempt
Floating_man
mathematics, a separable permutation is a permutation that can be obtained from the trivial permutation 1 by direct sums and skew sums. Separable permutations
Separable_permutation
Concept in computability theory
In computability theory, two disjoint sets of natural numbers are called computably inseparable or recursively inseparable if they cannot be "separated"
Computably_inseparable
Neural network technology
Depthwise separable convolution separates the standard convolution into two steps: depthwise convolution and pointwise convolution. The depthwise separable convolution
Convolutional_layer
Physics phenomenon
criterion is merely a necessary one for separability, as the problem becomes NP-hard when generalized. Other separability criteria include (but not limited
Quantum_entanglement
Topological space whose topology has a countable base
In topology, a second-countable space, also called a completely separable space, is a topological space whose topology has a countable base. More explicitly
Second-countable_space
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
Disjunct_matrix
Upper bound in coding theory
achieve equality in the Singleton bound are called MDS (maximum distance separable) codes. Examples of such codes include codes that have only q {\displaystyle
Singleton_bound
Signal processing algorithm
window must be chosen so that the separability criterion is satisfied. If the components of a signal are separable in frequency with respect to a particular
Reassignment_method
A separable partial differential equation can be broken into a set of equations of lower dimensionality (fewer independent variables) by a method of separation
Separable partial differential equation
Separable_partial_differential_equation
Collection of random variables
space. The concept of separability of a stochastic process was introduced by Joseph Doob. The underlying idea of separability is to make a countable
Stochastic_process
Morpheme that is attached to a word stem to form a new word
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
Affix
All infinite-dimensional, separable Banach spaces are homeomorphic
the Anderson–Kadec theorem states that any two infinite-dimensional, separable Banach spaces, or, more generally, Fréchet spaces, are homeomorphic as
Anderson–Kadec_theorem
Criterion in quantum information theory
dimensional cases the condition is also sufficient. It is used to decide the separability of mixed states, where the Schmidt decomposition does not apply. The
Peres–Horodecki_criterion
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
Reduction_criterion
Represents a function with diffusion properties useful in cryptography
An MDS matrix (maximum distance separable) is a matrix representing a function with certain diffusion properties that have useful applications in cryptography
MDS_matrix
Algorithm for supervised learning of binary classifiers
converge regardless of (prior) knowledge of linear separability of the data set. In the linearly separable case, it will solve the training problem – if desired
Perceptron
Ability of certain terms in a contract to be voided without voiding the remainder
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
Severability
Study of demons or beliefs about demons
it concerns the study of a hierarchy of demons. Demons may be nonhuman separable souls,[clarification needed] or discarnate spirits which have never inhabited
Demonology
Theoretical study of law
merits. The separability thesis states that law is conceptually distinct from morality. While law might contain morality, the separability thesis states
Jurisprudence
Basic concept of graph theory
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
Connectivity_(graph_theory)
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
Étale_algebra
2017 United States Supreme Court case
articles" can be restricted by copyright law. The Court created a two-prong "separability" test, granting copyrightability based on separate identification and
Star Athletica, LLC v. Varsity Brands, Inc.
Star_Athletica,_LLC_v._Varsity_Brands,_Inc.
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
Weakly_measurable_function
West Germanic language
fahren (to drive), erfahren (to experience). Many German verbs have a separable prefix, often with an adverbial function. In finite verb forms, it is
German_language
Index of articles associated with the same name
metric space is first countable. For metric spaces, second-countability, separability, and the Lindelöf property are all equivalent. Other examples of mathematical
Axiom_of_countability
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
Sobczyk's_theorem
Polish physicist
to the field of quantum informatics. In his most widely cited paper, 'Separability of Mixed States: Necessary and Sufficient Conditions' written together
Ryszard_Horodecki
1967 U.S. Supreme Court case on arbitration
processes and separability fosters cynicism and distrust in the rule of law, undermining its legitimacy." Defenders of the decision and separability have said
Prima Paint Corp. v. Flood & Conklin Manufacturing Co.
Prima_Paint_Corp._v._Flood_&_Conklin_Manufacturing_Co.
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
Range_criterion
Frequently-cited counterexample in topology
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
Sorgenfrey_plane
Measure of nonclassical correlations between two subsystems of a quantum system
quantum correlations can be present in certain mixed separable states; In other words, separability alone does not imply the absence of quantum correlations
Quantum_discord
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)
Cosmic_space
Concept in measure theory
{\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
Tightness_of_measures
1954 United States Supreme Court case
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
Mazer_v._Stein
Mathematical theorem
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
Structure theorem for Gaussian measures
Structure_theorem_for_Gaussian_measures
Result in Fourier analysis
holds for arbitrary Hilbert spaces, not necessarily separable. When the Hilbert space is not separable any orthonormal basis is uncountable and we need to
Parseval's_identity
Class of economic models
the assumption of weak separability, under which groups of goods or inputs can be treated as composite aggregates. Separability allows a high-dimensional
Computable general equilibrium
Computable_general_equilibrium
Theorem in measure theory
Vasilyevich Prokhorov, who considered probability measures on complete separable metric spaces. The term "Prokhorov’s theorem" is also applied to later
Prokhorov's_theorem
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
Scale_space_implementation
State invariant involving qubits
required for tensor separability. The faithful nature of the measure admits necessary and sufficient conditions of separability for pure states. Alternatively
Concurrence (quantum computing)
Concurrence_(quantum_computing)
Type of feedforward neural network
layers, notable for being able to distinguish data that is not linearly separable. Modern neural networks are trained using backpropagation and are colloquially
Multilayer_perceptron
Vibration that travels via pressure waves in matter
surrounding environment. There are, historically, six experimentally separable ways in which sound waves are analysed. They are: pitch, duration, loudness
Sound
Thought experiment in quantum mechanics
point of contact. The EPR paper concludes with a claim that this lack of separability meant that quantum mechanics as a theory of reality was incomplete. Schrödinger
Schrödinger's_cat
Generalization of games used in game theory
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
Continuous_game
Galois group of the separable closure
{\displaystyle K} , where K sep {\displaystyle K^{\textrm {sep}}} is a separable closure of K {\displaystyle K} . Alternatively, it is the group of all
Absolute_Galois_group
Construct in quantum information theory
{\displaystyle H_{A}} . Terhal, Barbara M. (2000). "Bell inequalities and the separability criterion". Physics Letters A. 271 (5–6): 319–326. arXiv:quant-ph/9911057
Entanglement_witness
Unique von Neumann algebra
In mathematics, there are up to isomorphism exactly two separably acting hyperfinite type II factors; one infinite and one finite. Murray and von Neumann
Hyperfinite_type_II_factor
Concept in topology
the mathematical discipline of general topology, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic
Polish_space
Method of data analysis
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
Principal_component_analysis
Space of stochastic processes
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
Classical_Wiener_space
Unrecoverable cost that has been incurred
The bygones principle can also be formalised as the notion of "separability". Separability requires agents to take decisions by comparing the available
Sunk_cost
State or quality of being bodiless
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
Incorporeality
Normed vector space that is complete
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
Banach_space
Concept in descriptive set theory (mathematics)
one and disjoint from the other. This is sometimes called the "Luzin separability principle" (though it was implicit in the proof of Suslin's theorem)
Analytic_set
Concept in measure theory
convenient properties; σ-finiteness can be compared in this respect to separability of topological spaces. Some theorems in analysis require σ-finiteness
Σ-finite_measure
Measurement in quantum metrology
parameter estimation using the state compared to what can be reached using separable states, i.e., states without quantum entanglement. Hence, the quantum
Quantum_metrological_gain
Condition in order theory and topology
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
Countable_chain_condition
Graph whose induced subgraphs preserve distance
discrete mathematics, a distance-hereditary graph (also called a completely separable graph) is a graph in which the distances in any connected induced subgraph
Distance-hereditary_graph
United States law
a ballot, and having that ballot counted. Title VII established the separability of the act, affirming that the rest of the act shall go unaffected if
Civil_Rights_Act_of_1960
Grammar of the German language
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
German_grammar
Invariant of polynomial roots
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
Resolvent_(Galois_theory)
Direct vote on a specific proposal
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
Referendum
Statement in computational learning theory
as counting function theorem. Let the number of homogeneously linearly separable sets of N {\displaystyle N} points in d {\displaystyle d} dimensions be
Cover's_theorem
Word that substitutes for a noun or noun phrase
Phrasal Predicative Preterite-present Pure Reflexive Regular / Irregular Separable Stative Stretched Transitive Unaccusative Unergative Adjective Anti-intersective
Pronoun
Type of reservoir computer
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
Liquid_state_machine
Algebraic structure
be used in a test for separability. More precisely, a commutative k {\displaystyle k} -algebra A {\displaystyle A} is separable if and only if A ⊗ k k
Perfect_field
Word or phrase separable from adjacent syntax
and both are in respectable use. Absolute construction – Word or phrase separable from adjacent syntax Conjunct – Semantic or grammatical clustering of
Disjunct_(linguistics)
Indo-European language
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
Greek_language
calculations changes with the system size. Size consistency (or strict separability) is a property that guarantees the consistency of the energy behaviour
Size consistency and size extensivity
Size_consistency_and_size_extensivity
Mathematical expression for linear operators
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)
Jordan–Chevalley decomposition
Jordan–Chevalley_decomposition
Sufficient condition for a separable extension of a Hilbertian field to be Hilbertian
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
Haran's_diamond_theorem
North Korean short-range ballistic missile
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
KN-18
Image edge detection algorithm
Sobel–Feldman operator is based on convolving the image with a small, separable, and integer-valued filter in the horizontal and vertical directions and
Sobel_operator
Jesus' death as described in the gospels
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
Crucifixion_of_Jesus
Intertemporal portfolio choice is the process of allocating one's investable wealth to various assets, especially financial assets, repeatedly over time
Intertemporal portfolio choice
Intertemporal_portfolio_choice
2006 United States Supreme Court case
Prima Paint Corp. v. Flood & Conklin Mfg. Co. case, which created the separability doctrine, under which all issues in contracts with arbitration clauses
Buckeye Check Cashing, Inc. v. Cardegna
Buckeye_Check_Cashing,_Inc._v._Cardegna
as a series of separable potentials. The Coulomb interaction between two protons is a special problem, in that its expansion in separable potentials does
Faddeev_equations
Termination of a marital union
22 September 2018. "Federal Arbitration Act and Application of the "Separability Doctrine" in Federal Courts". Duke Law Journal. 1968 (3): 588–614. June
Divorce
Topological space of dimension zero
has a base consisting of clopen sets. The three notions above agree for separable, metrisable spaces (see Inductive dimension § Relationships between dimensions)
Zero-dimensional_space
SEPARABILITY
SEPARABILITY
SEPARABILITY
SEPARABILITY
Girl/Female
Gujarati, Hindu, Indian, Kannada, Marathi, Telugu
One who Praises
Girl/Female
Hindu, Indian
Love
Surname or Lastname
Welsh
Welsh : Anglicized form of Welsh ap Rhys ‘son of Rhys’ (see Reece). This is one of the commonest of Welsh surnames. It has also been established in Ireland since the 14th century, where it is sometimes a variant of Bryson.English : the name is also found very early in parts of England far removed from Welsh influence (e.g. Richard Prys, Essex 1320), and in such cases presumably derives from Middle English, Old French pris ‘price’, ‘prize’, perhaps as a metonymic occupational name for a fixer of prices.Americanized spelling of Jewish Preuss or Preis.
Girl/Female
Muslim
Lucky, Fortunate, Fortune
Boy/Male
Hindu, Indian
Lord Vishnu; He Keep a Wheel on his Hand
Girl/Female
Biblical
The fleece of them.
Boy/Male
Hindu
Name of Lord Shiva
Girl/Female
Latin
Small.
Boy/Male
Teutonic
Free.
Female
Celtic
, carnage.
SEPARABILITY
SEPARABILITY
SEPARABILITY
SEPARABILITY
SEPARABILITY
n.
The quality or state of being partible; divisibility; separability; as, the partibility of an inherttance.
n.
Quality of being separable or divisible; divisibility; separableness.