“Bounded”的概念、定义、习题解题方法及翻译-数学辞典

单词	Bounded
释义	bounded Given a metric space $(X,d)$ , a subset $A\\subseteq X$ is said to be bounded if there is some positive real number $M$ such that $d(x,y)\\leq M$ whenever $x,y\\in A$ . A function $f:X\\rightarrow Y$ from a set $X$ to a metric space $Y$ is said to be bounded if its range is bounded in $Y$ .
随便看	example of antisymmetric ExampleOfAProbabilisticProof example of a probabilistic proof ExampleOfAProjectiveModuleWhichIsNotFree example of a projective module which is not free ExampleOfAProofUsingNets example of a proof using nets ExampleOfARightNoetherianRingThatIsNotLeftNoetherian example of a right noetherian ring that is not left noetherian ExampleOfArithmeticDerivative example of arithmetic derivative ExampleOfAronszajnTree example of Aronszajn tree ExampleOfASemilocallySimplyConnectedSpaceWhichIsNotLocallySimplyConnected example of a semilocally simply connected space which is not locally simply connected ExampleOfASpaceThatIsNotSemilocallySimplyConnected example of a space that is not semilocally simply connected ExampleOfAStrictlyIncreasingQuasisymmetricSingularFunction example of a strictly increasing quasisymmetric singular function ExampleOfAUniversalStructure example of a universal structure ExampleOfBanachAlgebraWhichIsNotACalgebraForAnyInvolution example of Banach algebra which is not a C^*-algebra for any involution ExampleOfBijection example of bijection

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。

bounded