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

单词	RieszFischerTheorem
释义	Riesz-Fischer theorem Let $\\{e_{n}\\}$ be an orthonormal basis for a (real or complex) infinite-dimensional Hilbert space $\\mathcal{H}$ . If $\\{c_{n}\\}$ is a sequence of (real or complex) numbers such that $\\sum\\lvert c_{n}\\lvert^{2}$ converges, then there is an $x\\in\\mathcal{H}$ such that $x=\\sum_{n=1}^{\\infty}c_{n}e_{n}$ , and $c_{n}=\\langle x,e_{n}\\rangle$ .
随便看	proof of second isomorphism theorem for groups ProofOfSecondIsomorphismTheoremForRings proof of second isomorphism theorem for rings ProofOfSilvermanToeplitzTheorem proof of Silverman-Toeplitz theorem ProofOfSimplicityOfMathieuGroups proof of simplicity of Mathieu groups ProofOfSimpsonsRule proof of Simpson’s rule ProofOfSimsonsLine proof of Simson’s line ProofOfSimultaneousConvergingOrDivergingOfProductAndSumTheorem proof of Simultaneous converging or diverging of product and sum theorem ProofOfSlowerDivergentSeries proof of slower divergent series ProofOfSobolevInequalityForOmegamathbfRn proof of Sobolev inequality for Ω=𝐑^n ProofOfSpacesHomeomorphicToBaireSpace proof of spaces homeomorphic to Baire space ProofOfSquareRootOfSquareRootBinomial proof of square root of square root binomial ProofOfSteinersTheorem proof of Steiner’s theorem ProofOfStewartsTheorem proof of Stewart’s theorem

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。

Riesz-Fischer theorem