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

单词	CauchyCriterionForTheExistenceOfALimitOfAFunction
释义	Cauchy criterion for the existence of a limit of a function Theorem 1. Let $S$ be a set and $B$ a filter basis in $S$ . A function $f:S\\to\\mathbb{R}$ possesses limit on $B$ , iff for every $\\epsilon>0$ there exists $X\\in B$ such that the oscillation of $f$ on $X$ is less than $\\epsilon$ . For a proof of this theorem see[1]. References 1 V., Zorich, Mathematical Analysis I, pp. 132ff, First Ed., Springer-Verlag, 2004.
随便看	AbelianNumberField abelian number field AbelianVariety abelian variety AbelPrize Abel Prize AbelsLemma AbelsLimitTheorem AbelsMultiplicationRuleForSeries AbelSummability Abel summability Abel’s lemma Abel’s limit theorem Abel’s multiplication rule for series ABIsConjugateToBA AB is conjugate to BA AbnormalSubgroup abnormal subgroup AbsoluteConvergenceImpliesConvergenceForAnInfiniteProduct absolute convergence implies convergence for an infinite product AbsoluteConvergenceImpliesUniformConvergence absolute convergence implies uniform convergence AbsoluteConvergenceOfDoubleSeries absolute convergence of double series AbsoluteConvergenceOfInfiniteProduct

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。

Cauchy criterion for the existence of a limit of a function