“proof that a metric space is compact if and only if it is complete and totally bounded”的概念、定义、习题解题方法及翻译-数学辞典

单词	proof that a metric space is compact if and only if it is complete and totally bounded
释义	SeeProofThatAMetricSpaceIsCompactIfAndOnlyIfItIsCompleteAndTotallyBounded
随便看	IdentityMatrix identity matrix IdentityTheorem identity theorem IdentityTheoremOfHolomorphicFunctions identity theorem of holomorphic functions IdentityTheoremOfPowerSeries identity theorem of power series Identity type Identity types Identity types and identity systems idèle IfAAndBCommuteSoDoAAndB1 If A and B commute so do A and B^{-1} IfAinMnRAndAIsSupertriangularThenAn0 IfAIsConvexAndFLinearThenFAAndF1AAreConvex if A is convex and f linear then f⁢(A) and f^{-1}⁢(A) are convex IfAIsInfiniteAndBIsAFiniteSubsetOfAThenAsetminusBIsInfinite if A is infinite and B is a finite subset of A⁢ERROR(\tmspace)+.1667⁢e⁢m⁢ERROR(\tmspace)-.1667⁢e⁢m, then A∖B is infinite IfAnIsIrrationalThenaIsIrrational if a^n is irrational then a is irrational If A∈M_n⁢(R) and A is supertriangular then A^n=0 IfDxiXi112iThenXiIsACauchySequence if d⁢(x_i,x_{i+1})<1/2^i then x_i is a Cauchy sequence IfFcolonXtoYIsContinuousThenFcolonXtoFXIsContinuous

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。