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

单词	BolzanoWeierstrassTheorem
释义	Bolzano-Weierstrass theorem Given any bounded sequence $(a_{n})$ of real numbers,there exists a convergent subsequence $(a_{n_{j}})$ . More generally, any sequence $(a_{n})$ in a compact subset of a metric spacehas a convergent subsequence.
随便看	limit inferior LimitingTriangle limiting triangle LimitLawsForUniformConvergence limit laws for uniform convergence limit of {1-c⁢o⁢sx}/x as x approaches 0 LimitOf1SnnIsOneWhenLimitOfNSnIsZero limit of (1+s_n)^n is one when limit of n⁢s_n is zero limit of {a^x-1}/x as x approaches 0 LimitOfdisplaystylefrac1cosXxAsXApproaches0 LimitOfdisplaystylefracax1xAsXApproaches0 LimitOfdisplaystylefracsinXxAsXApproaches0 LimitOfGeometricSequence limit of geometric sequence LimitOfNondecreasingSequence limit of nondecreasing sequence LimitOfNthRootOfN limit of nth root of n LimitOfRealNumberSequence limit of real number sequence LimitOfSequenceAsSumOfSeries limit of sequence as sum of series LimitOfSequenceOfSets limit of sequence of sets limit of {s⁢i⁢nx}/x as x approaches 0

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。

Bolzano-Weierstrass theorem