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41Locally compact space — In topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like a small portion of a compact space.Formal definitionLet X be a topological space. The… …
42Lexical analysis — In computer science, lexical analysis is the process of converting a sequence of characters into a sequence of tokens. Programs performing lexical analysis are called lexical analyzers or lexers. A lexer is often organized as separate scanner and …
43Tissue (biology) — This article is about biological tissue. For other uses, see Tissue. Cross section of sclerenchyma fibers in plant ground tissue …
44Homotopy — This article is about topology. For chemistry, see Homotopic groups. The two dashed paths shown above are homotopic relative to their endpoints. The animation represents one possible homotopy. In topology, two continuous functions from one… …
45Arzelà–Ascoli theorem — In mathematics, the Arzelà–Ascoli theorem of functional analysis gives necessary and sufficient conditions to decide whether every subsequence of a given sequence of real valued continuous functions defined on a closed and bounded interval has a… …
46Continuous wavelet transform — of frequency breakdown signal. Used symlet with 5 vanishing moments. A continuous wavelet transform (CWT) is used to divide a continuous time function into wavelets. Unlike Fourier transform, the continuous wavelet transform possesses the ability …
47Simplicial set — In mathematics, a simplicial set is a construction in categorical homotopy theory which is a purely algebraic model of the notion of a well behaved topological space. Historically, this model arose from earlier work in combinatorial topology and… …
48Wave front set — In mathematical analysis, more precisely in microlocal analysis, the wave front (set) WF( f ) characterizes the singularities of a generalized function f , not only in space, but more precisely also with respect to its Fourier transform at each… …
49Gelfand pair — In mathematics, the expression Gelfand pair refers to a pair ( G , K ) consisting of a group G and a subgroup K that satisfies a certain property on restricted representations.When G is a finite group the simplest definition is, roughly speaking …
50Current (mathematics) — In mathematics, more particularly in functional analysis, differential topology, and geometric measure theory, a k current in the sense of Georges de Rham is a functional on the space of compactly supported differential k forms, on a smooth… …
