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11 there are multiple ways of writing out a given complex number, or a number in general 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。 The complex numbers are a field
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It's a fundamental formula not only in arithmetic but also in the whole of math We are basically asking that what transformation is required to get back to the identity transformation whose basis vectors are i ^ (1,0) and j ^ (0,1). Is there a proof for it or is it just assumed?
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. 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
49 actually 1 was considered a prime number until the beginning of 20th century Unique factorization was a driving force beneath its changing of status, since it's formulation is quickier if 1 is not considered a prime But i think that group theory was the other force. 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, instead of 0 ways.
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