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11 there are multiple ways of writing out a given complex number, or a number in general And while $1$ to a large power is 1, a number very close to 1 to a large power can be anything. The complex numbers are a field
How do i convince someone that $1+1=2$ may not necessarily be true The reason why $1^\infty$ is indeterminate, is because what it really means intuitively is an approximation of the type $ (\sim 1)^ {\rm large \, number}$ I once read that some mathematicians provided a very length proof of $1+1=2$
Can you think of some way to
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? 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.
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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.
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