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  1. How to define a bijection between $(0,1)$ and $(0,1]$?

    We will show that both sets are in bijection with S1 ×Z S 1 × Z ${S}^{1}\times \mathbb{Z}$. Consider (0, 1) (0, 1) $(0,1)$. This is in …

  2. linear algebra - Showing that $l_2$ norm is smaller than $l_1 ...

    Nov 27, 2012 · Yes. And thanks for reaching out and asking. It is the Minkowshi inequality under repeated use, where the measure …

  3. 知乎 - 知乎

    知乎是一个中文互联网高质量问答社区和创作者聚集的原创内容平台,提供知识共享、互动交流和个人成长机会。

  4. 1-1+1-1+1-1+1... 这个无穷数列的值是什么?如何证明? - 知乎

    知乎,中文互联网高质量的问答社区和创作者聚集的原创内容平台,于 2011 年 1 月正式上线,以「让人们更好的分享知识、经验和见 …

  5. Description of SU (1, 1) - Mathematics Stack Exchange

    For a homework question, I am required to "describe the Lie group SU(1, 1)". This is a bit ambiguous, but I think what that means is I …

  6. Dual of $l^\\infty$ is not $l^1$ - Mathematics Stack Exchange

    Jul 16, 2014 · $({l}^{\mathrm{\infty }}{)}^{\ast }$, i.e. a bounded linear functional on l∞ l ∞ ${l}^{\mathrm{\infty }}$ (maybe not in the …

  7. Why does an argument similiar to 0.999...=1 show 999...=-1?

    Jan 26, 2016 · $1$ represents −1 1 $-1$. Analogously, in an infinite ten's complement representation, the number with all digits 9 9 …

  8. probability - Expectation on 1/X - Mathematics Stack Exchange

    Dec 1, 2012 · Expectation on 1/X Ask Question Asked 13 years, 10 months ago Modified 4 years, 8 months ago

  9. Taylor series of $\\sqrt{1+x}$ using sigma notation

    Taylor series of 1 + x− −−−−√ 1 + x $\sqrt{1+x}$ using sigma notation Ask Question Asked 12 years, 5 months ago Modified 5 years, …

  10. symbol for the set of integers from 1 to N [duplicate]

    Sep 11, 2017 · Is there a special symbol for the set: $$ \\{1, 2, 3, \\dots, n\\}$$, or $$\\{x| 1\\leq x\\leq n, n \\in \\mathbb{Z} \\} $$?