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Bookmark or Share- Series expansion: $\frac{1}{(1-x)^n}$ - Mathematics Stack ExchangeWhat is the expansion for $(1-x)^{-n}$? Could find only the expansion upto the power of $-3$. Is there some general formula?
- Why is $1/i$ equal to $-i$? - Mathematics Stack ExchangeThere 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 cleaner than saying $1-1$ for example.
- abstract algebra - Prove that 1+1=2 - Mathematics Stack ExchangeThe 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. The work of G. Peano shows that it's not hard to produce a useful set of axioms that can prove 1+1=2 much more easily than Whitehead and Russell do.
- What does $QAQ^{-1}$ actually mean? - Mathematics Stack Exchange1 $\begingroup$ 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 for the range. Thinking of applying a vector on to the right, we get that the transformation "unrotates" the vector, applies the original transformation in the original basis ...
- How can 1+1=3 be possible? - Mathematics Stack ExchangeStack 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 knowledge, and build their careers.
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