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If it is possible to express $ \cos n \alpha $ in terms of $ \cos \alpha $ as a power series for integer $n$ ... I like to see an expression for the quoti...
The question is the following: For what numbers $y$ is it possible to solve the equation $y = \tan x$. I know that $\tan(90)$ and $\tan(270)$ will be unde...
I am interested in calculating similarity between vectors, however this similarity has to be a number between 0 and 1. There are many questions concerning...
A function say $f$ of $x$, $y$ is away from the origin. This function can be written in polar coordinates as a function of $r$ and $\theta$. Now, if we kn...
I know that a unitary matrix is a matrix whose inverse equals its conjugate transpose (or that multiplying it by its conjugate transpose yields the identi...
On this game dev stack exchange question someone puts forth a faster method of computing barycentric coordinates, but I don't understand it. I unders...
$D_3=\big<a,b| a^3=b^2=(ab)^2=1\big>$ and $|D_3|=6 $ $D_3=\{ 1, a, a^2, b, ab, a^2b\} $ Are these correct? Then so that I can compute the orders of ...
Biological samples are taken weekly, and their values are averaged each month using the geometric mean. Monthly geometric means for several years of data ...
$f(x)=2x^2-x^3-2$. This is a cubic type graph as shown. The real root of this graph is $(-0.839,0)$. So, the question is to use Newton's approximatio...
If the probability density of $X$ is given by $$f(x)= \begin{cases} 630x^4(1-x)^4&& \text{for } 0 <x<1\\ 0 && \text{elsewhere.}\\ \e...
