mapping of set

  • 51Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment …

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  • 52Julia set — In complex dynamics, the Julia set J(f), [Note that in other areas of mathematics the notation J(f), can also represent the Jacobian matrix of a real valued mapping f, between smooth manifolds.] of a holomorphic function f, informally consists of …

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  • 53Kripke–Platek set theory — The Kripke–Platek axioms of set theory (KP) (IPAEng|ˈkrɪpki ˈplɑːtɛk) are a system of axioms of axiomatic set theory, developed by Saul Kripke and Richard Platek. The axiom system is written in first order logic; it has an infinite number of… …

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  • 54Semantic mapping (statistics) — The semantic mapping (SM) is a dimensionality reduction method that extracts new features by clustering the original features in semantic clusters and combining features mapped in the same cluster to generate an extracted feature. Given a data… …

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  • 55Analytic set — This article is about analytic sets as defined in descriptive set theory. There is another notion in the context of analytic varieties. In descriptive set theory, a subset of a Polish space X is an analytic set if it is a continuous image of a… …

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  • 56Derived set (mathematics) — In mathematics, more specifically in point set topology, the derived set of a subset S of a topological space is the set of all limit points of S. It is usually denoted by S′. The concept was first introduced by Georg Cantor in 1872 and he… …

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  • 57Bounded set (topological vector space) — In functional analysis and related areas of mathematics, a set in a topological vector space is called bounded or von Neumann bounded, if every neighborhood of the zero vector can be inflated to include the set. Conversely a set which is not… …

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  • 58K-approximation of k-hitting set — In computer science, k approximation of k hitting set is an approximation algorithm for weighted hitting set. The input is a collection S of subsets of some universe T and a mapping W from S to non negative numbers called the weights of the… …

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  • 59Determining the number of clusters in a data set — Determining the number of clusters in a data set, a quantity often labeled k as in the k means algorithm, is a frequent problem in data clustering, and is a distinct issue from the process of actually solving the clustering problem. For a certain …

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  • 60Universal Character Set — The Universal Character Set (UCS), defined by the ISO/IEC 10646 International Standard, is a standard set of characters upon which many character encodings are based. The UCS contains nearly a hundred thousand abstract characters, each identified …

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