Last Updated:2025/12/04
Sentence

順序理論では、チェーンとは、任意の2つの要素が比較可能である全順序を備えた部分順序集合の部分集合です。

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In order theory, a chain is a totally ordered subset of a partially ordered set in which every pair of elements is comparable.

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In order theory, a chain is a totally ordered subset of a partially ordered set in which every pair of elements is comparable.

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Related words

totally ordered

Adjective
not-comparable
Japanese Meaning
全順序が備わっている、すなわち、部分順序集合の特定の部分集合において、任意の二つの要素が比較可能(順序付け可能)である完全な順序関係が成立している状態。
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順序理論では、チェーンとは、任意の2つの要素が比較可能である全順序を備えた部分順序集合の部分集合です。

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