- regularity theorem
- мат. теорема о регулярности
Большой англо-русский и русско-английский словарь. 2001.
regularity theorem
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Regularity theorem for Lebesgue measure — In mathematics, the regularity theorem for Lebesgue measure is a result in measure theory that states that Lebesgue measure on the real line is a regular measure. Informally speaking, this means that every Lebesgue measurable subset of the real… … Wikipedia
Statistical regularity — is a notion in statistics and probability theory that random events exhibit regularity when repeated enough times or that enough sufficiently similar random events exhibit regularity. It is an umbrella term that covers the law of large numbers,… … Wikipedia
Central limit theorem — This figure demonstrates the central limit theorem. The sample means are generated using a random number generator, which draws numbers between 1 and 100 from a uniform probability distribution. It illustrates that increasing sample sizes result… … Wikipedia
Szemerédi regularity lemma — In mathematics, Szemerédi s regularity lemma states that every large enough (finite undirected simple) graph can be approximated by a composition of a structured and a pseudo random part.Formal statement of the regularity lemmaThe formal… … Wikipedia
Ramsey's theorem — This article goes into technical details quite quickly. For a slightly gentler introduction see Ramsey theory. In combinatorics, Ramsey s theorem states that in any colouring of the edges of a sufficiently large complete graph (that is, a simple… … Wikipedia
Hales–Jewett theorem — In mathematics, the Hales–Jewett theorem is a fundamental combinatorial result of Ramsey theory, concerning the degree to which high dimensional objects must necessarily exhibit some combinatorial structure; it is impossible for such objects to… … Wikipedia
Rolle's theorem — In calculus, a branch of mathematics, Rolle s theorem essentially states that a differentiable function, which attains equal values at two points, must have a stationary point somewhere between them.tandard version of the theoremIf a real valued… … Wikipedia
Master theorem — For a result in enumerative combinatorics, see MacMahon Master theorem. In the analysis of algorithms, the master theorem provides a cookbook solution in asymptotic terms (using Big O notation) for recurrence relations of types that occur in the… … Wikipedia
Milman–Pettis theorem — In mathematics, the Milman–Pettis theorem states that every uniformly convex Banach space is reflexive. The theorem was proved independently by D. Milman (1938) and B. J. Pettis (1939). S. Kakutani gave a different proof in (1939), and John R.… … Wikipedia
Beauville–Laszlo theorem — In mathematics, the Beauville–Laszlo theorem is a result in commutative algebra and algebraic geometry that allows one to glue two sheaves over an infinitesimal neighborhood of a point on an algebraic curve. It was proved by Harvard… … Wikipedia
Dudley's theorem — In probability theory, Dudley’s theorem is a result relating the expected upper bound and regularity properties of a Gaussian process to its entropy and covariance structure. The result was proved in a landmark 1967 paper of Richard M. Dudley;… … Wikipedia
