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Atom (order theory) Atom (teorie uspořádání) 原子 (序理论) 원자 (순서론)
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순서론에서 원자(原子, 영어: atom)는 최소 원소를 덮는 원소이다. Atom je v teorii uspořádání, podoboru matematiky, označení pro takový prvek částečně uspořádané množiny s nejmenším prvek , pro který platí, že 1. * a 2. * neexistuje splňující . Jinými slovy to lze vyjádřit tak, že atomy jsou prvky, které jsou po vynechání nejmenšího prvku prvky minimálními, nebo tak, že atomy jsou prvky nejmenší prvek. 带有最小元 0 的偏序集合 P 中的原子是不等于 0 的所有元素中的极小的元素。 带有最小元 0 的原子偏序集合 P 中的是在其中对于所有 P 的非零元素 x 有一个 P 的原子 a 使得 a ≤ x。 在偏序集合中的原子是集合论中的单元素集合的抽象推广。 In the mathematical field of order theory, an element a of a partially ordered set with least element 0 is an atom if 0 < a and there is no x such that 0 < x < a. Equivalently, one may define an atom to be an element that is minimal among the non-zero elements, or alternatively an element that covers the least element 0.
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Poset Atom
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Poset Atom
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Atom je v teorii uspořádání, podoboru matematiky, označení pro takový prvek částečně uspořádané množiny s nejmenším prvek , pro který platí, že 1. * a 2. * neexistuje splňující . Jinými slovy to lze vyjádřit tak, že atomy jsou prvky, které jsou po vynechání nejmenšího prvku prvky minimálními, nebo tak, že atomy jsou prvky nejmenší prvek. 带有最小元 0 的偏序集合 P 中的原子是不等于 0 的所有元素中的极小的元素。 带有最小元 0 的原子偏序集合 P 中的是在其中对于所有 P 的非零元素 x 有一个 P 的原子 a 使得 a ≤ x。 在偏序集合中的原子是集合论中的单元素集合的抽象推广。 In the mathematical field of order theory, an element a of a partially ordered set with least element 0 is an atom if 0 < a and there is no x such that 0 < x < a. Equivalently, one may define an atom to be an element that is minimal among the non-zero elements, or alternatively an element that covers the least element 0. 순서론에서 원자(原子, 영어: atom)는 최소 원소를 덮는 원소이다.
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