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moment problem

См. также в других словарях:

  • Moment problem — In mathematics, a moment problem arises as the result of trying to invert the mapping that takes a measure μ to the sequences of moments More generally, one may consider for an arbitrary sequence of functions Mn. Contents 1 …   Wikipedia

  • Hamburger 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 {… …   Wikipedia

  • Hausdorff moment problem — In mathematics, the Hausdorff moment problem, named after Felix Hausdorff, asks for necessary and sufficient conditions that a given sequence { mn : n = 0, 1, 2, ... } be the sequence of moments of… …   Wikipedia

  • Stieltjes moment problem — In mathematics, the Stieltjes moment problem, named after Thomas Joannes Stieltjes, seeks necessary and sufficient conditions that a sequence { mu; n , : n = 0, 1, 2, ... } be of the form:mu n=int 0^infty x^n,dF(x),for some nondecreasing function …   Wikipedia

  • Trigonometric 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^{… …   Wikipedia

  • Moment (mathematics) — Second moment redirects here. For the technique in probability theory, see Second moment method. See also: Moment (physics) Increasing each of the first four moments in turn while keeping the others constant, for a discrete uniform distribution… …   Wikipedia

  • Moment (mathématiques) — Pour les articles homonymes, voir Moment. En probabilités (mathématiques, statistiques), on définit le moment d ordre n>0 d une variable aléatoire X, s il existe, le nombre . Sommaire 1 …   Wikipédia en Français

  • Problem of evil — Part of a series on God General conceptions …   Wikipedia

  • problem — {{Roman}}I.{{/Roman}} noun 1 sth that causes difficulties ADJECTIVE ▪ acute, big, enormous, grave, great, huge, important, major, serious, significant …   Collocations dictionary

  • Moment of inertia — This article is about the moment of inertia of a rotating object, also termed the mass moment of inertia. For the moment of inertia dealing with the bending of a beam, also termed the area moment of inertia, see second moment of area. In… …   Wikipedia

  • moment — mo|ment [ moumənt ] noun count *** 1. ) a very short period of time: I see your problem, said George after a moment s reflection. He paused for a few moments before giving his answer. brief moment: For a brief moment their eyes met. spare moment… …   Usage of the words and phrases in modern English

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