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

单词	mathbbRnIsNotACountableUnionOfProperVectorSubspaces
释义	$\\mathbb{R}^{n}$ is not a countable union of proper vector subspaces $\\mathbb{R}^{n}$ is not a countable union of proper vector subspaces. Proof We know that every finite dimensional proper subspace of a normed space is nowhere dense. Besides, $\\mathbb{R}^{n}$ is a Banach space, so the results follows directly.
随便看	SemiFredholmOperator semi-Fredholm operator Semigroup semigroup SemigroupOfTransformations semigroup of transformations SemigroupWithInvolution semigroup with involution SemigroupWithTwoElements semigroup with two elements SemihereditaryRing semihereditary ring SemiinnerProduct semi-inner product Semilattice semilattice SemilatticeDecompositionOfASemigroup semilattice decomposition of a semigroup Semilinear biharmonic problem SemilinearBiharmonicProblem1 SemilinearTransformation semilinear transformation SemilocallySimplyConnected semilocally simply connected SemilocalRing

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。

ℝn is not a countable union of proper vector subspaces