- 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. 2010.
* * *
Universalium. 2010.
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 … 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
List of mathematics articles (E) — NOTOC E E₇ E (mathematical constant) E function E₈ lattice E₈ manifold E∞ operad E7½ E8 investigation tool Earley parser Early stopping Earnshaw s theorem Earth mover s distance East Journal on Approximations Eastern Arabic numerals Easton s… … Wikipedia
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
Georgetown University — Motto Utraque Unum … Wikipedia
List of MIT fraternities, sororities, and ILGs — The following is a list of MIT s fraternities, sororities and independent living groups. Contents 1 MIT FSILG History 1.1 Residence Selection 1.2 The Action Man 2 Fraternities … Wikipedia
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