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Theorem,Proposition, Lemma 和 Corollary是什么 区别关系

文章中最重要的几个结论用 Prop 或 Thm. 其中有比较普遍意义的(可能被他人引用的)用Thm,比较特定、适用范围不大的用Prop。 用来推出这些 Thm 或 Prop 的引理用 Lemma. Theorem:定理。是文章中重要的数学化的论述,一般有严格的数学证明。 Proposition:可以翻译为命题,经过证明且inter

[ARC111D] Orientation

https://atcoder.jp/contests/arc111/tasks/arc111_d Statement Given is a simple undirected graph with \(N\) vertices and \(M\) edges. The vertices are numbered \(1, \cdots, N\), and the \(i\)-th edge connects Vertices \(a_i\) and \(b_i\). Also

Fuzzy logic

Fuzzy logic is used in artificial intelligence. In fuzzy logic, a proposition has a truth value that is a number between 0 and 1, inclusive. A proposition with a truth value of 0 is false and one with a truth value of 1 is true. Truth values that are betw

Logic and Proofs--离散数学

Propositions: A proposition is a declarative sentence(that is, a sentence that declares a fact ) that is either true or false, but not both. 命题是一个陈述句(即陈述事实的句子),它或真或假,但不能既真又假。 When Alexander the Great died in 323 B.C.E, a backlash ag