A long time ago I wrote down a silly problem. It starts with Attempt to write $$\frac{1}{\sin(x)\cos(x)}$$ using partial fractions. and then goes on to pr...

I am trying to plot a 3D surface like the picture below to help depict the relationship between some variables. I have been fiddling with Google Search bu...

Consider the differential forms on $\mathbb{R}^3$, $\omega_1 = xy \space dx + z \space dy + dz$ , $\omega_2 = x \space dy + z \space dz$. I need to determ...

I've never seen anything like this. Do somebody have a way to solve it? I've tried the basci exponential functions techniques but it does not wo...

With given category $\mathcal{C}$ and its objects $A$ and $B$, a hom-set $\hom_\mathcal{C}(A, B)$ is the collection of all morphisms from $A$ to $B$. Ther...

How to solve $a^2=b^2$? Should I consider if the number is negative or positive?

I need to solve an equation containing the Sine Integral $\mathrm{Si}\left(\frac{2 k \pi}{x}\right)$ in mathjs which doesn't have the $\mathrm{Si}$ f...

A polynomial $ p(x)$ is such that $p(0) =5, p(1) = 4, p(2) = 9 $ and $p(3) = 20 $. What is the minimum degree it can have? The problem can easily be solve...

I was reading about normal approximation to binomial distribution and I dunno how it works for cases when you say for example p is equal to 0.3 where p is...

In Terence Tao's book "Analysis 1", in definition 3.3.1 (function definition), he says Let $X, Y$ be sets, and let $P(x, y)$ be a property ...