Last Updated：2025/12/04
Sentence
コンパクト空間上の連続実数値関数の順序付き環は、正性や順序を保つ演算を比較するための自然な枠組みを提供します。
Quizzes for review
The ordered ring of continuous real-valued functions on a compact space provides a natural setting for comparing positivity and order-preserving operations.
See correct answer
The ordered ring of continuous real-valued functions on a compact space provides a natural setting for comparing positivity and order-preserving operations.
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Related words
ordered ring
Noun
Japanese Meaning
順序環：部分順序が定義された環（代数系）であり、任意の a, b, c ∈ R に対して、a ≤ b なら a + c ≤ b + c が成立し、さらに 0 ≤ c のとき c·a ≤ c·b および a·c ≤ b·c も成立する性質を持つ。
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