“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	PosetHeightAndWidth poset height and width PositionVector position vector Positive positive PositiveCone positive cone PositiveDefinite positive definite PositiveDefiniteForm positive definite form PositiveElement positive element PositiveLinearFunctional positive linear functional PositiveMultipleOfAnAbundantNumberIsAbundant positive multiple of an abundant number is abundant PositiveMultipleOfASemiperfectNumberIsAlsoSemiperfect positive multiple of a semiperfect number is also semiperfect PositiveRoot positive root PositiveSemidefinite positive semidefinite positive semidefinite

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