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theorem of choice

См. также в других словарях:

  • Choice function — A choice function (selector, selection) is a mathematical function f that is defined on some collection X of nonempty sets and assigns to each set S in that collection some element f(S) of S. In other words, f is a choice function for X if and… …   Wikipedia

  • Arrow's impossibility theorem — In social choice theory, Arrow’s impossibility theorem, the General Possibility Theorem, or Arrow’s paradox, states that, when voters have three or more distinct alternatives (options), no voting system can convert the ranked preferences of… …   Wikipedia

  • Axiom of choice — This article is about the mathematical concept. For the band named after it, see Axiom of Choice (band). In mathematics, the axiom of choice, or AC, is an axiom of set theory stating that for every family of nonempty sets there exists a family of …   Wikipedia

  • Tychonoff's theorem — For other theorems named after Tychonoff, see Tychonoff s theorem (disambiguation). In mathematics, Tychonoff s theorem states that the product of any collection of compact topological spaces is compact. The theorem is named after Andrey… …   Wikipedia

  • Boolean prime ideal theorem — In mathematics, a prime ideal theorem guarantees the existence of certain types of subsets in a given abstract algebra. A common example is the Boolean prime ideal theorem, which states that ideals in a Boolean algebra can be extended to prime… …   Wikipedia

  • Social Choice and Individual Values — Kenneth Arrow s monograph Social Choice and Individual Values (1951, 2nd ed., 1963) and a theorem within it created modern social choice theory, a rigorous melding of social ethics and voting theory with an economic flavor. Somewhat formally, the …   Wikipedia

  • König's theorem (set theory) — For other uses, see König s theorem. In set theory, König s theorem (named after the Hungarian mathematician Gyula König) colloquially states that if the axiom of choice holds, I is a set, mi and ni are cardinal numbers for every i in I , and m i …   Wikipedia

  • De Bruijn–Erdős theorem (graph theory) — This article is about coloring infinite graphs. For the number of lines determined by a finite set of points, see De Bruijn–Erdős theorem (incidence geometry). In graph theory, the De Bruijn–Erdős theorem, proved by Nicolaas Govert de Bruijn and… …   Wikipedia

  • Social Choice — Die Sozialwahltheorie (engl. Social Choice Theory), auch Theorie kollektiver Entscheidungen (engl. Theory of Collective Choice) genannt, beschäftigt sich mit Gruppenentscheidungen durch Aggregation von individuellen Präferenzen/Entscheidungen zu… …   Deutsch Wikipedia

  • Social Choice Theory — Die Sozialwahltheorie (engl. Social Choice Theory), auch Theorie kollektiver Entscheidungen (engl. Theory of Collective Choice) genannt, beschäftigt sich mit Gruppenentscheidungen durch Aggregation von individuellen Präferenzen/Entscheidungen zu… …   Deutsch Wikipedia

  • Nielsen–Schreier theorem — In group theory, a branch of mathematics, the Nielsen–Schreier theorem is the statement that every subgroup of a free group is itself free.[1][2][3] It is named after Jakob Nielsen and Otto Schreier. Contents …   Wikipedia

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