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  • 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。
  • what is 1 - 1 2 + 1 3 - 1 4 + 1 5 - 1 6 + 1 7 - 1 8 +1 9
    Please provide additional context, which ideally explains why the question is relevant to you and our community Some forms of context include: background and motivation, relevant definitions, source, possible strategies, your current progress, why the question is interesting or important, etc
  • What is the value of $1^i$? - Mathematics Stack Exchange
    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 not part of the definition of complex exponentiation, although it is an immediate consequence of the definition of natural number exponentiation
  • Double induction example: $ 1 + q - Mathematics Stack Exchange
    Slightly relevant: you can see my answer on this thread for a proof that uses double induction (just to get you exposed to how the mechanics of a proof using double induction might work)
  • abstract algebra - Prove that 1+1=2 - Mathematics Stack Exchange
    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 of some way to
  • The sequence of integers $1, 11, 111, 1111, \ldots$ have two elements . . .
    Prove that the sequence $\ {1, 11, 111, 1111, \ldots\}$ will contain two numbers whose difference is a multiple of $2017$ I have been computing some of the immediate multiples of $2017$ to see how their congruence classes look like, but I am not really sure where that is taking me
  • False Proof of 1=-1 - Mathematics Stack Exchange
    1 Indeed what you are proving is that in the complex numbers you don't have (in general) $$\sqrt {xy}=\sqrt {x}\sqrt {y}$$ Because you find a counterexample
  • What does $QAQ^ {-1}$ actually mean? - Mathematics Stack Exchange
    I'm self-learning Linear Algebra and have been trying to take a geometric approach to understand what matrices mean visually I've noticed this matrix product pop up repeatedly and can't seem to de


















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