- epsilon neighborhood
- мат. эпсилон-окрестность
Большой англо-русский и русско-английский словарь. 2001.
epsilon neighborhood
Смотреть что такое "epsilon neighborhood" в других словарях:
Epsilon-neighborhood — In mathematics, the ε neighborhood (or epsilon neighborhood) of a set A sube; M , where ( M , d ) is a metric space, is the set of all points of M whose distance to some point of A is less than epsilon; gt; 0. It is customarily denoted by A… … Wikipedia
epsilon-neighborhood — /ep seuh lon nay beuhr hood , leuhn / or, esp. Brit., /ep suy leuhn /, n. Math. the set of all points whose distance from a given point is less than some specified number epsilon. * * * … Universalium
epsilon-neighborhood — /ep seuh lon nay beuhr hood , leuhn / or, esp. Brit., /ep suy leuhn /, n. Math. the set of all points whose distance from a given point is less than some specified number epsilon … Useful english dictionary
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Lebesgue's number lemma — In topology, Lebesgue s number lemma states:If the metric space (X, d) is compact and an open cover of X is given, then there exists a number delta; > 0 such that every subset of X of diameter < delta; is contained in some member of the cover.… … Wikipedia
Filling radius — In Riemannian geometry, the filling radius of a Riemannian manifold X is a metric invariant of X . It was originally introduced in 1983 by Mikhail Gromov, who used it to prove his systolic inequality for essential manifolds, vastly generalizing… … Wikipedia
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