equivalence of sets

equivalence of sets
Техника: равномощность множеств

Универсальный англо-русский словарь. . 2011.

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  • Equivalence relation — In mathematics, an equivalence relation is a binary relation between two elements of a set which groups them together as being equivalent in some way. Let a , b , and c be arbitrary elements of some set X . Then a b or a ≡ b denotes that a is… …   Wikipedia

  • Equivalence class — This article is about equivalency in mathematics; for equivalency in music see equivalence class (music). In mathematics, given a set X and an equivalence relation on X, the equivalence class of an element a in X is the subset of all elements in… …   Wikipedia

  • Equivalence (measure theory) — In mathematics, and specifically in measure theory, equivalence is a notion of two measures being the same . Two measures are equivalent if they have the same null sets.DefinitionLet ( X , Σ) be a measurable space, and let μ , ν : Σ → [0, +∞] be… …   Wikipedia

  • equivalence relation — (or equivalence class ) A relation which is transitive, symmetric, and reflexive divides its field into exclusive classes of things. Within each class everything bears the relation to everything else, and nothing bears it to anything in a… …   Philosophy dictionary

  • Turing equivalence — may refer to:* Turing completeness, having computational power equivalent to a universal Turing machine * Turing degree equivalence (of sets), having the same level of unsolvability …   Wikipedia

  • Circuits over sets of natural numbers — Circuits over natural numbers is a mathematical model used in studying computational complexity theory. It is a special case of circuit, the object is a labeled directed acyclic graph the nodes of which evaluate to sets of natural numbers, the… …   Wikipedia

  • Near sets — are disjoint sets that resemble each other. Resemblance between disjoint sets occurs whenever there are observable similarities between the objects in the sets. Similarity is determined by comparing lists of object feature values. Each list of… …   Wikipedia

  • Unicode equivalence — is the specification by the Unicode character encoding standard that some sequences of code points represent essentially the same character. This feature was introduced in the standard to allow compatibility with preexisting standard character… …   Wikipedia

  • K-equivalence — In mathematics, equivalence, or contact equivalence, is an equivalence relation between map germs. It was introduced by John Mather in his seminal work in Singularity theory in the 1970s as a technical tool for studying stable maps. Since then it …   Wikipedia

  • A-equivalence — In mathematics, mathcal{A} equivalence, sometimes called right left equivalence, is an equivalence relation between map germs.Let M and N be two manifolds, and let f, g : (M,x) o (N,y) be two smooth map germs. We say that f and g are mathcal{A}… …   Wikipedia

  • Ringer equivalence number — In telecommunication, a ringer equivalency number (REN) is a somewhat arbitrary number which denotes the electrical load a telephone ringer has on the line. In the U.S., this is determined in accordance with the Code of Federal Regulations ,… …   Wikipedia


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