Why is $1/i$ equal to $-i$? - Mathematics Stack Exchange
May 11, 2015 · 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 …
abstract algebra - Prove that 1+1=2 - Mathematics Stack Exchange
Jan 15, 2013 · 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 …
What is the value of $1^i$? - Mathematics Stack Exchange
Aug 30, 2010 · 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 …
If $A A^{-1} = I$, does that automatically imply $A^{-1} A = I$?
Mar 30, 2020 · 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 …
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, …
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 …
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Why is $1^ {\infty}$ considered to be an indeterminate form
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}$. And while $1$ to a large power is …
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).
Sum of 1 + 1/2 + 1/3 +.... + 1/n - Mathematics Stack Exchange
How do I calculate this sum in terms of 'n'? I know this is a harmonic progression, but I can't find how to calculate the summation of it. Also, is it an expansion of any mathematical function? 1 ...
Series expansion: $\frac {1} { (1-x)^n}$ - Mathematics Stack …
Jan 24, 2016 · What is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$. Is there some general formula?