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  1. factorial - Why does 0! = 1? - Mathematics Stack Exchange

    Possible Duplicate: Prove 0! = 1 0! = 1 from first principles Why does 0! = 1 0! = 1? All I know of factorial is that x! x! is equal to the product of all the numbers that come before it. The product of 0 and …

  2. Why is $1/i$ equal to $-i$? - Mathematics Stack Exchange

    May 11, 2015 · Why is 1/i 1 / i equal to −i i? Ask Question Asked 10 years, 8 months ago Modified 1 year ago Viewed 116k times

  3. If $A A^{-1} = I$, does that automatically imply $A^{-1} A = I$?

    Mar 30, 2020 · 1 Short Answer Yes AA -1 = A -1 A = I when the Det (A) ≠ ≠ 0 and A is a square matrix. Long Answer A matrix is basically a linear transformation applied to some space. For the sake of …

  4. abstract algebra - Prove that 1+1=2 - Mathematics Stack Exchange

    Jan 15, 2013 · Possible Duplicate: How do I convince someone that $1+1=2$ may not necessarily be true? I once read that some mathematicians provided a very length proof of $1+1=2$. Can you think …

  5. 为什么 1 不能被认为是质数? - 知乎

    m = p 1 a 1 p 2 a 2 p 3 a 3 p n a n . 什么意思呢? 它表示这样一个结论:对于任意的一个整数,你都能把它因数分解,而且结果是唯一的。 举个例子:1001只能被分解成7×11×13,而且你再也找不到除 …

  6. Formal proof for $(-1) \\times (-1) = 1$ - Mathematics Stack Exchange

    Is there a formal proof for $(-1) \\times (-1) = 1$? It's a fundamental formula not only in arithmetic but also in the whole of math. Is there a proof for it or is it just assumed?

  7. Word,插入多级列表,但是改了1.1,第二章的2.1也变成1.1,随着改变 …

    注1:【】代表软件中的功能文字 注2:同一台电脑,只需要设置一次,以后都可以直接使用 注3:如果觉得原先设置的格式不是自己想要的,可以继续点击【多级列表】——【定义新多级列表】,找到相应 …

  8. What is the value of $1^i$? - Mathematics Stack Exchange

    Aug 30, 2010 · The formal moral of that example is that the value of 1i 1 i depends on the branch of the complex logarithm that you use to compute the power. You may already know that 1 =e0+2kiπ 1 = e …

  9. 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、经验和见解,找到自己的解答」为品牌使命。

  10. 1/1+1/2+1/3+1/4+……+1/n=?怎么个解法? - 知乎

    红线是n-1到n的割线,绿线是n处的切线 图像上显然,割线的斜率大于切线的斜率。 所以我们有割线的斜率 \dfrac {\ln \left ( n\right) -\ln \left ( n-1\right) } {n-\left ( n-1\right) } 大于切线的斜率 \left ( \ln n\right) …