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

单词	TheSetOfAllRealTranscendentalNumbersIsUncountable
释义	the set of all real transcendental numbers is uncountable Theorem.The set of all real transcendental numbers is uncountable. Proof.Denote $\\mathbb{T}$ and $\\mathbb{A}$ be the set of real transcendental and real algebraic numbers respectively. Suppose $\\mathbb{T}$ is countable. Then the union $\\mathbb{T}\\cup\\mathbb{A}=\\mathbb{R}$ is also countable, since $\\mathbb{A}$ is also countable, which is a contradiction. Therefore $\\mathbb{T}$ must be uncountable. $\\Box$
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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。

the set of all real transcendental numbers is uncountable