I'm trying to write a function that will determine whether a circular arc travels clockwise or counter-clockwise. Given the X,Y coordinates for the s...

I'm trying to figure out the number of ways to divide n people into k groups with at least 2 people in each group. Should I first decide a recurrence...

I want to know if there is a way to find for example $\ln(2)$, without using the calculator ? Thanks

I learned that, given a point $(x,y)$ in the plane, $\sigma_{\phi}(x,y) = (x\cos(\phi)-y\sin(phi),x\sin(\phi)+x\cos(\phi))$ is the point corresponding to ...

A(0,5) B(0,2) C(4,2) In Euclidean geometry the three points given are the vertices of a right-angled triangle. Find the three angles of the hyperbolic tri...

How would I set up the Taylor's Inequality to prove that the function $f(x) = \frac{1}{x}$ is equal to its Taylor Series expansion centered at $x=1$?...

I need to solve the following equation for a hobby coding project I'm working on and I can't figure out the solution. Wolfram and SymboLab solve...

Given the matrix $A=\begin{pmatrix} 1 & 2 \\ 0 & 1\end{pmatrix}$, I want to prove that $A^k = \begin{pmatrix}1 & 2k \\ 0 & 1 \end{pmatrix}...

I'm working with derivatives and need to know if $\sin^2(x)$ the same as $\sin(x^2)$? I almost don't want to ask because my last question was cl...

I know that the definition of the Tits cone is $Y=\bigcup_{w\in W}{wC}$ with W the Coxeter Groups and C the fundamental chamber. One theorem says that Y i...