“TheoremAboutContinuousConvergence”的概念、定义、习题解题方法及翻译-数学辞典

单词	TheoremAboutContinuousConvergence
释义	theorem about continuous convergence Let $(X,d)$ and $(Y,\\rho)$ be metric spaces, and let $f_{n}:X\\longrightarrow Y$ be a sequence of continuous functions. Then $f_{n}$ converges continuously to $f$ if and only if $f_{n}$ converges uniformly to $f$ on every compact subset of $X$ .
随便看	ProofOfCauchyResidueTheorem proof of Cauchy residue theorem ProofOfCauchySchwarzInequality proof of Cauchy-Schwarz inequality ProofOfCauchySchwarzInequalityForRealNumbers proof of Cauchy-Schwarz inequality for real numbers ProofOfCauchysRootTest ProofOfCauchysTheorem ProofOfCauchysTheoremInAbelianCase proof of Cauchy’s root test proof of Cauchy’s theorem proof of Cauchy’s theorem in abelian case ProofOfCayleyHamiltonTheoremByFormalSubstitutions proof of Cayley-Hamilton theorem by formal substitutions ProofOfCayleyHamiltonTheoremInACommutativeRing proof of Cayley-Hamilton theorem in a commutative ring ProofOfCayleysTheorem proof of Cayley’s theorem ProofOfCevasTheorem proof of Ceva’s theorem ProofOfChainRule proof of chain rule ProofOfChainRuleseveralVariables proof of chain rule (several variables) ProofOfCharacterizationOfConnectedCompactMetricSpaces

数学辞典收录了18232条数学词条，基本涵盖了常用数学知识及数学英语单词词组的翻译及用法，是数学学习的有利工具。

theorem about continuous convergence