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单词 Finite
释义

finite


A set S is finite if there exists a natural numberMathworldPlanetmath n and a bijection from S to n. Note that we are using the set theoretic definition of natural number, under which the natural number n equals the set {0,1,2,,n-1}. If there exists such an n, then it is unique, and we call n the cardinality of S.

Equivalently, a set S is finite if and only if there is no bijection between S and any proper subsetMathworldPlanetmathPlanetmath of S.

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更新时间:2025/5/4 22:36:30