Why is $1/i$ equal to $-i$? - Mathematics Stack Exchange
...While 1/i = i?1 1 / i = i 1 is true (pretty much by definition), if we have a value c c such that c?i = 1 c ? i = 1 then c= i?1 c = i 1. This is because we know that inverses in the complex numbers are unique....
https://math.stackexchange.com/questions/1277038/why-is-1-i-equal-to-i
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....
https://math.stackexchange.com/questions/3668/what-is-the-value-of-1i
Formal proof for $ (-1) \times (-1) = 1$ - Mathematics Stack Exchange
...Is there a formal proof for $(-1) \\times (-1) = 1$? 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?...
https://math.stackexchange.com/questions/304422/formal-proof-for-1-times-1-1
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...
https://math.stackexchange.com/questions/278974/prove-that-11-2
Word????????????1.1?????2.1???1.1????????????????? - ??
...?1????????????? ?2???????????????????????? ?3???????????????????????????????????????????????????????...
https://www.zhihu.com/question/393331884
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, instead of 0 ways....
https://math.stackexchange.com/questions/25333/why-does-0-1
Arithmetic pattern $1 + 2 = 3$, $4 + 5 + 6 = 7 + 8$, and so on
...The other interesting thing here is that 1,2,3, etc. appear in order in the list. And you have 2,3,4, etc. terms on the left, 1,2,3, etc. terms on the right. This should let you determine a formula like the one you want. Then prove it by induction....
https://math.stackexchange.com/questions/1095581/arithmetic-pattern-1-2-3-4-5-6-7-8-and-so-on
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?...
https://math.stackexchange.com/questions/1624974/series-expansion-frac11-xn
False Proof of 1=-1 - Mathematics Stack Exchange
...False Proof of 1=-1 [duplicate] Ask Question Asked 9 years, 3 months ago Modified 9 years, 3 months ago...
https://math.stackexchange.com/questions/1901716/false-proof-of-1-1
If $A A^{-1} = I$, does that automatically imply $A^{-1} A = I$?
...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 ? 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)....
https://math.stackexchange.com/questions/3601618/if-a-a-1-i-does-that-automatically-imply-a-1-a-i