Choice function
A choice function (selector, selection) is a mathematical function f that is defined on some collection X of nonempty sets and assigns some element of each set S in that collection to S by f(S); f(S) maps S to some element of S. In other words, f is a choice function for X if and only if it belongs to the direct product of X.
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Axiom of choiceAxiom of countable choiceAxiom of global choiceAxiom of limitation of sizeChain-complete partial orderCompletely distributive latticeDiaconescu's theoremDiscrete fixed-point theoremExtensive-form gameFunction (mathematics)Fusion adaptive resonance theoryHemicontinuityHistory of combinatoricsHistory of the function conceptKuratowski and Ryll-Nardzewski measurable selection theoremLeon HenkinList of types of functionsMichael selection theoremMyhailo YadrenkoScope (formal semantics)Selection functionSelection theoremSelectorSpanning treeVon Neumann–Bernays–Gödel set theoryZermelo–Fraenkel set theory
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Choice function
A choice function (selector, selection) is a mathematical function f that is defined on some collection X of nonempty sets and assigns some element of each set S in that collection to S by f(S); f(S) maps S to some element of S. In other words, f is a choice function for X if and only if it belongs to the direct product of X.
has abstract
A choice function (selector, s ...... gs to the direct product of X.
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Een keuzefunctie (selector, se ...... ment uit elke verzameling in .
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Una función de elección es una ...... elemento de cada conjunto en .
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Функція вибору (чи селектор) д ...... відність деяку її підмножину .
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選擇函數是一個函數f,其定義域X為一堆非空集合組成的集合,且 ...... 皆可良序的話,則AC成立。其逆命題亦為真,但並不那麼顯然。)
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title
Choice function
@en
wikiPageUsesTemplate
hypernym
type
comment
A choice function (selector, s ...... gs to the direct product of X.
@en
Een keuzefunctie (selector, se ...... ment uit elke verzameling in .
@nl
Una función de elección es una ...... elemento de cada conjunto en .
@es
Функція вибору (чи селектор) д ...... відність деяку її підмножину .
@uk
選擇函數是一個函數f,其定義域X為一堆非空集合組成的集合,且 ...... 皆可良序的話,則AC成立。其逆命題亦為真,但並不那麼顯然。)
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label
Choice function
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Función de elección
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Keuzefunctie
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Функція вибору
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选择函数
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