descending chain

descending chain
Математика: нисходящая цепь (множеств), убывающая цепь

Универсальный англо-русский словарь. . 2011.

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  • Infinite descending chain — Given a set S with a partial order le;, an infinite descending chain is a chain V , that is, a subset of S upon which le; defines a total order, such that V has no least element, that is, an element m such that for all elements n in V it holds… …   Wikipedia

  • Chain Hill — Coordinates: 51°34′58″N 1°25′8″W / 51.58278°N 1.41889°W / …   Wikipedia

  • Ascending chain condition — The ascending chain condition (ACC) and descending chain condition (DCC) are finiteness properties satisfied by some algebraic structures, most importantly, ideals in certain commutative rings.[1][2][3] These conditions played an important role… …   Wikipedia

  • Ascending chain condition on principal ideals — In abstract algebra, the ascending chain condition can be applied to the posets of principal left, principal right, or principal two sided ideals of a ring, partially ordered by inclusion. The ascending ascending chain condition on principal… …   Wikipedia

  • Nearest-neighbor chain algorithm — In the theory of cluster analysis, the nearest neighbor chain algorithm is a method that can be used to perform several types of agglomerative hierarchical clustering, using an amount of memory that is linear in the number of points to be… …   Wikipedia

  • Countable chain condition — See also: Forcing (set theory)#The countable chain condition In order theory, a partially ordered set X is said to satisfy the countable chain condition, or to be ccc, if every strong antichain in X is countable. There are really two conditions:… …   Wikipedia

  • Great Chain of Being — ▪ philosophy also called  Chain of Being        conception of the nature of the universe that had a pervasive influence on Western thought, particularly through the ancient Greek Neoplatonists and derivative philosophies during the European… …   Universalium

  • Pitch chain — Pitch Pitch, n. 1. A throw; a toss; a cast, as of something from the hand; as, a good pitch in quoits. [1913 Webster] {Pitch and toss}, a game played by tossing up a coin, and calling Heads or tails; hence: {To play pitch and toss with… …   The Collaborative International Dictionary of English

  • Ohr — Ma ohr (luminary), Kli (vessel) and Shefa (flow) redirect here. For vessels in the Talmud, see Keilim For other uses, see Ohr (disambiguation) and KLI (disambiguation) Part of a series on …   Wikipedia

  • Emmy Noether — Amalie Emmy Noether Born 23 March 1882(1882 03 23) …   Wikipedia

  • Subgroup series — In mathematics, a subgroup series is a chain of subgroups: Subgroup series can simplify the study of a group to the study of simpler subgroups and their relations, and several subgroup series can be invariantly defined and are important… …   Wikipedia


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