- separable metric
- мат. сепарабельная метрика
Большой англо-русский и русско-английский словарь. 2001.
separable metric
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Separable space — In mathematics a topological space is called separable if it contains a countable dense subset; that is, there exists a sequence { x n } {n=1}^{infty} of elements of the space such that every nonempty open subset of the space contains at least… … Wikipedia
Metric space — In mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined. The metric space which most closely corresponds to our intuitive understanding of space is the 3 dimensional Euclidean… … Wikipedia
Separable sigma algebra — In mathematics, sigma; algebras are usually studied in the context of measure theory. A separable sigma; algebra (or separable sigma; field) is a sigma algebra that can be generated by a countable collection of sets. To learn what is meant by the … Wikipedia
separable — adjective a) Able to be separated. b) Of a metric space, that it has a countable dense subset. Ant: inseparable See Also: separability … Wiktionary
Lévy-Prokhorov metric — In mathematics, the Lévy Prokhorov metric (sometimes known just as the Prokhorov metric) is a metric (i.e. a definition of distance) on the collection of probability measures on a given metric space. It is named after the French mathematician… … Wikipedia
Wasserstein metric — In mathematics, the Wasserstein (or Vasershtein) metric is a distance function defined between probability distributions on a given metric space M. Intuitively, if each distribution is viewed as a unit amount of dirt piled on M, the metric is the … Wikipedia
Fubini-Study metric — In mathematics, the Fubini Study metric is a Kähler metric on projective Hilbert space, that is, complex projective space CP n endowed with a Hermitian form. In the context of quantum mechanics, for n=1 this space is called the Bloch sphere; the… … Wikipedia
Complete metric space — Cauchy completion redirects here. For the use in category theory, see Karoubi envelope. In mathematical analysis, a metric space M is called complete (or Cauchy) if every Cauchy sequence of points in M has a limit that is also in M or,… … Wikipedia
Polish space — In mathematics, a Polish space is a separable completely metrizable topological space; that is, a space homeomorphic to a complete metric space that has a countable dense subset. Polish spaces are so named because they were first extensively… … Wikipedia
Reverse mathematics — is a program in mathematical logic that seeks to determine which axioms are required to prove theorems of mathematics. The method can briefly be described as going backwards from the theorems to the axioms. This contrasts with the ordinary… … Wikipedia
Second-countable space — In topology, a second countable space, also called a completely separable space, is a topological space satisfying the second axiom of countability. A space is said to be second countable if its topology has a countable base. More explicitly,… … Wikipedia
