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

单词	ProofOfAbelsTestForConvergence
释义	proof of Abel’s test for convergence Let $b$ be the limit of $\\{b_{n}\\}$ and let $d_{n}=b_{n}-b$ when $\\{b_{n}\\}$ is decreasing and $d_{n}=b-b_{n}$ when $\\{b_{n}\\}$ is increasing. By Dirichlet’s convergence test, $\\sum a_{n}d_{n}$ is convergent and so is $\\sum a_{n}b_{n}=\\sum a_{n}(b\\pm d_{n})=b\\sum a_{n}\\pm\\sum a_{n}d_{n}$ .
随便看	AlmostPeriodicFunctionclassicalDefinition almost periodic function (classical definition) AlmostPeriodicFunctionequivalentDefinition almost periodic function (equivalent definition) AlmostSurelyAbsolutelyBoundedRandomVariable almost surely absolutely bounded random variable AlonChungLemma Alon-Chung lemma Alphabet alphabet AlternateCharacterizationOfCurl alternate characterization of curl AlternateFormOfSumOfRthPowersOfTheFirstNPositiveIntegers alternate form of sum of rth powers of the first n positive integers AlternateIntegralRepresentationOfBetaFunction alternate integral representation of beta function AlternateIntegralRepresentationOfBetaFunction2 alternate integral representation of beta function (2) AlternateProofOfMantelsTheorem alternate proof of Mantel’s theorem AlternateProofOfMobiusInversionFormula alternate proof of Möbius inversion formula AlternateProofOfParallelogramLaw alternate proof of parallelogram law AlternateStatementOfBolzanoWeierstrassTheorem

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。

proof of Abel’s test for convergence