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1 ядро интегрального оператора
Русско-английский физический словарь > ядро интегрального оператора
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2 ядро интегрального оператора
Русско-английский научно-технический словарь Масловского > ядро интегрального оператора
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3 ядро интегрального оператора
Mathematics: kernel of integral operatorУниверсальный русско-английский словарь > ядро интегрального оператора
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Hilbert-Schmidt integral operator — In mathematics, a Hilbert Schmidt integral operator is a type of integral transform. Specifically, given a domain (an open and connected set) Omega; in n dimensional Euclidean space R n , a Hilbert Schmidt kernel is a function k : Omega; times;… … Wikipedia
Kernel (mathematics) — In mathematics, the word kernel has several meanings. Kernel may mean a subset associated with a mapping:* The kernel of a mapping is the set of elements that map to the zero element (such as zero or zero vector), as in kernel of a linear… … Wikipedia
Kernel (function) — The phrase Kernel (function) may refer to:* a kernel function, i.e., the kernel of an integral operator; for that topic see kernel (mathematics), or * the kernel of a function … Wikipedia
Kernel — may refer to:Computing* Kernel (computer science), the central component of most operating systems ** Linux kernel * Kernel (programming language), a Scheme like language * kernel trick, in machine learningLiterature* Kernel ( Lilo Stitch ),… … Wikipedia
Integral transform — In mathematics, an integral transform is any transform T of the following form:: (Tf)(u) = int {t 1}^{t 2} K(t, u), f(t), dt.The input of this transform is a function f , and the output is another function Tf . An integral transform is a… … Wikipedia
integral transform — In mathematics, a function that results when a given function is multiplied by a so called kernel function, and the product is integrated (see integration) between suitable limits. Its value lies in its ability to simplify intractable… … Universalium
Integral equation — In mathematics, an integral equation is an equation in which an unknown function appears under an integral sign. There is a close connection between differential and integral equations, and some problems may be formulated either way. See, for… … Wikipedia
Singular integral — In mathematics, singular integrals are central to abstract harmonic analysis and are intimately connected with the study of partial differential equations. Broadly speaking a singular intetgral is an integral operator: T(f)(x) = int K(x,y)f(y) ,… … Wikipedia
Compact operator — In functional analysis, a branch of mathematics, a compact operator is a linear operator L from a Banach space X to another Banach space Y, such that the image under L of any bounded subset of X is a relatively compact subset of Y. Such an… … Wikipedia
Schwartz kernel theorem — In mathematics, the Schwartz kernel theorem is a foundational result in the theory of generalized functions, published by Laurent Schwartz in 1952. It states, in broad terms, that the generalized functions introduced by Schwartz himself (Schwartz … Wikipedia
Nilpotent operator — In operator theory, a bounded operator T on a Hilbert space is said to be nilpotent if Tn = 0 for some n. It is said to be quasinilpotent or topological nilpotent if its spectrum σ(T) = {0}. Examples In the finite dimensional case, i.e. when T is … Wikipedia