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

    2015年5月11日 · 11 There are multiple ways of writing out a given complex number, or a number in general. Usually we reduce things to the "simplest" terms for display -- saying $0$ is a lot …

  2. Formal proof for $ (-1) \times (-1) = 1$ - Mathematics Stack …

    2020年6月13日 · 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?

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

    2010年8月30日 · There are infinitely many possible values for $1^i$, corresponding to different branches of the complex logarithm. The confusing point here is that the formula $1^x = 1$ is …

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

    2013年1月15日 · 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 …

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

    Intending on marking as accepted, because I'm no mathematician and this response makes sense to a commoner. However, I'm still curious why there is 1 way to permute 0 things, …

  6. 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 …

    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 …

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

    2020年3月30日 · This is same as AA -1. It means that we first apply the A -1 transformation which will take as to some plane having different basis vectors. If we think what is the inverse of A -1 …

  8. Series expansion: $\frac {1} { (1-x)^n}$ - Mathematics Stack …

    2016年1月24日 · What is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$. Is there some general formula?

  9. False Proof of 1=-1 - Mathematics Stack Exchange

    2016年8月24日 · False Proof of 1=-1 [duplicate] Ask Question Asked 9 years, 3 months ago Modified 9 years, 3 months ago

  10. Arithmetic pattern $1 + 2 = 3$, $4 + 5 + 6 = 7 + 8$, and so on

    2015年1月7日 · The other interesting thing here is that 1,2,3, etc. appear in order in the list. And you have 2,3,4, etc. terms on the left, 1,2,3, etc. terms on the right. This should let you …