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  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 …Read more

  3. complex analysis - Contour integral for $x^3/(e^x-1)$? - Mathematics ...

    What contour and integrand do we use to evaluate $$ \\int_0^\\infty \\frac{x^3}{e^x-1} dx $$ Or is this going to need some other …

  4. 一个最大值大于1的概率密度函数的意义是什么? - 知乎

    Oct 27, 2014 · 题主应该是把 概率质量函数 (probability mass function)和 概率密度函数 (probability density function)搞混了。 概 …

  5. 1-1+1-1+1-1+1... 这个无穷数列的值是什么?如何证明? - 知乎

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  6. Inverse of the sum of matrices - Mathematics Stack Exchange

    May 24, 2015 · The technique is useful in computation, because if the values in A and B can be very different in size then calculating …

  7. Infinitely number of primes in the form $4n+1$ proof

    Nov 26, 2012 · $1\le i\le k$ Contradiction! In fact, there must be also infinitely many primes of the form 4n + 1 4 n + 1 $4n+1$ …

  8. Using the definition of a limit to prove 1/n converges to zero.

    Aug 6, 2015 · What this says is that eventually, every term of the sequence 1 n 1 n $\frac{1}{n}$ is close to 0 0 $0$, no matter how …

  9. Is the square root of -1 rational? - Mathematics Stack Exchange

    $\sqrt{-1}=i$ is an imaginary number, not lying anywhere on the real number line. Therefore as others have said, it is neither rational …

  10. 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, …

  11. combinatorics - Sum of $k {n \choose k}$ is $n2^{n-1}$ - Mathematics ...

    Factor out the n n $n$ using given identity and adjust the remaining sum so that you can use the known sum of binomial coefficients.