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  • What does $QAQ^{-1}$ actually mean? - Mathematics Stack Exchange
    1 $\begingroup$ When one thinks of matrix products like that, it's helpful to remember that matrices, unlike vectors, have two sets of bases: one for the domain and one for the range Thinking of applying a vector on to the right, we get that the transformation "unrotates" the vector, applies the original transformation in the original basis
  • Series expansion: $\frac{1}{(1-x)^n}$ - Mathematics Stack Exchange
    What is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$ Is there some general formula?
  • abstract algebra - Prove that 1+1=2 - Mathematics Stack Exchange
    The main reason that it takes so long to get to $1+1=2$ is that Principia Mathematica starts from almost nothing, and works its way up in very tiny, incremental steps The work of G Peano shows that it's not hard to produce a useful set of axioms that can prove 1+1=2 much more easily than Whitehead and Russell do
  • 有问题,就会有答案 - 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。知乎凭借认真、专业、友善的社区氛围、独特的产品机制以及结构化和易获得的优质内容,聚集了中文互联网科技、商业、影视、时
  • 知乎 - 有问题,就会有答案
    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。知乎凭借认真、专业、友善的社区氛围、独特的产品机制以及结构化和易获得的优质内容,聚集了中文互联网科技、商业、影视
  • How can 1+1=3 be possible? - Mathematics Stack Exchange
    Stack Exchange Network Stack Exchange network consists of 183 Q A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers
  • 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。
  • Binomial expansion of $(1-x)^n$ - Mathematics Stack Exchange
    (1+a)^n This yields exactly the ordinary expansion Then, by substituting -x for a, we see that the solution is simply the ordinary binomial expansion with alternating signs, just as everyone else has suggested




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