Why is $1/i$ equal to $-i$? - Mathematics Stack Exchange
2015年5月11日 · 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 …
What does $QAQ^{-1}$ actually mean? - Mathematics Stack …
2020年4月28日 · 1 $\begingroup$ When one thinks of matrix products like that, it's helpful to remember that matrices, unlike vectors, have two sets of bases: one for the domain and one …
abstract algebra - Prove that 1+1=2 - Mathematics Stack Exchange
2013年1月15日 · The main reason that it takes so long to get to $1+1=2$ is that Principia Mathematica starts from almost nothing, and works its way up in very tiny, incremental steps. …
Double induction example: $ 1 + q + q^2 - Mathematics Stack …
2023年9月28日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
Formula for $1^2+2^2+3^2+...+n^2$ - Mathematics Stack …
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …
Series expansion: $\frac{1}{(1-x)^n}$ - Mathematics Stack Exchange
2024年12月2日 · What is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$. Is there some general formula?
1 to the power of infinity formula - Mathematics Stack Exchange
2016年10月27日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
matrices - Matrix inverse identity $\, (A-B)^ {-1}=A^ {-1}+A^ {-1} …
2021年6月24日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
logic - Is 1+1 =2 a theorem? - Mathematics Stack Exchange
However, a more refined possibility is to define the natural numbers as certain sets, and then define the plus operation by induction. Then (commonly) $0=\emptyset$, $1=\{0\}$, and …
Primes of the form $n^2+1$ - hard? - Mathematics Stack Exchange
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …