epsilon neighborhood

epsilon neighborhood
мат. эпсилон-окрестность

Большой англо-русский и русско-английский словарь. 2001.

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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

  • Symplectic cut — In mathematics, specifically in symplectic geometry, the symplectic cut is a geometric modification on symplectic manifolds. Its effect is to decompose a given manifold into two pieces. There is an inverse operation, the symplectic sum, that… …   Wikipedia

  • 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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  • Systolic geometry — In mathematics, systolic geometry is the study of systolic invariants of manifolds and polyhedra, as initially conceived by Charles Loewner, and developed by Mikhail Gromov and others, in its arithmetic, ergodic, and topological manifestations.… …   Wikipedia

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  • Continuous function — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia


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