borel class

  • 81Non-analytic smooth function — In mathematics, smooth functions (also called infinitely differentiable functions) and analytic functions are two very important types of functions. One can easily prove that any analytic function of a real argument is smooth. The converse is not …

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  • 82Outer measure — In mathematics, in particular in measure theory, an outer measure or exterior measure is a function defined on all subsets of a given set with values in the extended real numbers satisfying some additional technical conditions. A general theory… …

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  • 83List of set theory topics — Logic portal Set theory portal …

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  • 84Hamburger moment problem — In mathematics, the Hamburger moment problem, named after Hans Ludwig Hamburger, is formulated as follows: given a sequence { αn : n = 1, 2, 3, ... }, does there exist a positive Borel measure μ on the real line such that:alpha n = int {… …

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  • 85Brazilian hip hop — is one of the world s major hip hop scenes, with active rap, break dance, and graffiti scenes, especially in São Paulo, where groups tend to have a more international style, influenced by old school hip hop and gangsta rap. HistorySão Paulo s hip …

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  • 86Trigonometric moment problem — In mathematics, the trigonometric moment problem is formulated as follows: given a finite sequence { α 0, ... αn }, does there exist a positive Borel measure mu; on the interval [0, 2 pi; ] such that:alpha k = frac{1}{2 pi}int 0 ^{2 pi} e^{… …

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  • 87Convolution power — In mathematics, the convolution power is the n fold iteration of the convolution with itself. Thus if x is a function on Euclidean space Rd and n is a natural number, then the convolution power is defined by where * denotes the convolution… …

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  • 88Conditional mutual information — In probability theory, and in particular, information theory, the conditional mutual information is, in its most basic form, the expected value of the mutual information of two random variables given the value of a third. Contents 1 Definition 2… …

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  • 89Atiyah-Singer-Indextheorem — Der Atiyah Singer Indexsatz (Atiyah–Singer index theorem) besagt, dass für einen elliptischen Differentialoperator auf einer kompakten Mannigfaltigkeit der analytische Index (eng verbunden mit der Dimension des Lösungsraums) gleich dem… …

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  • 90Indextheorie — Der Atiyah Singer Indexsatz (Atiyah–Singer index theorem) besagt, dass für einen elliptischen Differentialoperator auf einer kompakten Mannigfaltigkeit der analytische Index (eng verbunden mit der Dimension des Lösungsraums) gleich dem… …

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