组合数学

Also known as combinatorial analysis, combinatorial mathematics, combinatorial theory

研究离散结构性质的一个数学分支

AI overview

Combinatorics is the branch of mathematics focused on counting things and understanding the properties of finite collections—tools that turn out to be surprisingly useful across many fields. It matters because these counting techniques help solve practical problems in areas as varied as computer science, biology, physics, and logic.

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Wikidata facts

Part of: discrete mathematics
Named after: combination
Image: Countingprinciple.svg

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Commons category: Combinatorics
topic's main category: Category:Combinatorics
is the study of: combination
ACM Classification Code (2012): 10003625
on focus list of Wikimedia project: Wikipedia:Vital articles/Level/4
maintained by WikiProject: WikiProject Mathematics
Stack Exchange tag: or.stackexchange.com/tags/combinatorics

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Article · 中文

广义的组合数学（英語：Combinatorics）就是离散数学，狭义的组合数学是组合计数、图论、代数结构、数理逻辑等的总称。但这只是不同学者在叫法上的区别。总之，组合数学是一门研究可數或离散对象的科学。随着计算机科学日益发展，组合数学的重要性也日渐凸显，因为计算机科学的核心内容是使用算法处理。狭义的组合数学主要研究满足一定条件的组态（也称组合模型）的存在、计数以及构造等方面的问题。组合数学的主要内容有组合计数、、、组合最佳化（）等。

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组合数学

Wikidata facts

Article · 中文

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