well-ordered sequence

well-ordered sequence
мат. вполне упорядоченная последовательность

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

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  • well-ordered — well′ or′dered adj. arranged, planned, or occurring in a desirable way, sequence, etc • Etymology: 1600–10 …   From formal English to slang

  • well-ordered — /wel awr deuhrd/, adj. arranged, planned, or occurring in a desirable way, sequence, etc. [1600 10] * * * …   Universalium

  • Well-order — In mathematics, a well order relation (or well ordering) on a set S is a total order on S with the property that every non empty subset of S has a least element in this ordering.Equivalently, a well ordering is a well founded total order.The set… …   Wikipedia

  • Well-quasi-ordering — In mathematics, specifically order theory, a well quasi ordering or wqo is a well founded quasi ordering with an additional restriction on sequences that there is no infinite sequence x i with x i ot le x j for all i < j . Motivation We can use… …   Wikipedia

  • Well-founded relation — In mathematics, a binary relation, R, is well founded (or wellfounded) on a class X if and only if every non empty subset of X has a minimal element with respect to R; that is, for every non empty subset S of X, there is an element m of S such… …   Wikipedia

  • sequence analysis — A series of questions about how social processes are ordered, either temporally or spatially, together with the techniques for answering these. Many areas of sociology are concerned with events or actions in their temporal context or with what we …   Dictionary of sociology

  • Partially ordered set — The Hasse diagram of the set of all subsets of a three element set {x, y, z}, ordered by inclusion. In mathematics, especially order theory, a partially ordered set (or poset) formalizes and generalizes the intuitive concept of an ordering,… …   Wikipedia

  • The Simpsons opening sequence — The Simpsons title screen as of 2009. The Simpsons opening sequence is an element that begins almost every episode of the American animated television series The Simpsons. Starting with the season 20 episode Take My Life, Please , the opening… …   Wikipedia

  • set theory — the branch of mathematics that deals with relations between sets. [1940 45] * * * Branch of mathematics that deals with the properties of sets. It is most valuable as applied to other areas of mathematics, which borrow from and adapt its… …   Universalium

  • Scott–Potter set theory — An approach to the foundations of mathematics that is of relatively recent origin, Scott–Potter set theory is a collection of nested axiomatic set theories set out by the philosopher Michael Potter, building on earlier work by the mathematician… …   Wikipedia

  • Controversy over Cantor's theory — In mathematical logic, the theory of infinite sets was first developed by Georg Cantor. Although this work has found wide acceptance in the mathematics community, it has been criticized in several areas by mathematicians and philosophers. Cantor… …   Wikipedia


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