The following is in my A level textbook categorised as an 'easy' question: Decode this message received by Space Defence Control. MKW PWCCFQ USF...

Consider two multidimensional random vectors $x$ and $z$ having Gaussian distributions $P(x)=N(x\mid\mu_x,\Sigma_x)$ and $P(z)=N(z\mid\mu_z,\Sigma_z)$, re...

Could you please help by showing me how I can find the unknown sides for the triangles below?

Given a directed and acyclic graph G(V,E) is there any way to determine the exact number of topological orderings it can have? I know the minimum is 1 if ...

"For every" $x\in S$ would be $\forall x\in S$ which it's same as "for all" $x\in S$. But, is "for some" is same as "there exist"? It seems Yes, but ...

I tried considered an easier case: what is the expected number of draws you need until drawing a single red card? The solution I came up with for this cas...

I have a function whose graph is plotted below First, I want to find one possible definition for the function. I know I have vertical asymptotes at $x \in...

I'm working through a question that I don't quite know how to get. It is: Find an inner product $\langle - , -\rangle$ on $\mathbb{R} ^3$, and a...

The centers of the faces of a cube are also the vertices of polyhedron. How to Compute the ratio of the volume of the polyhedron to that of the cube conta...

Integration by $u$ - substitution works alright for me, like in the following integral: $$\int \frac{1}{3x+5}dx\ \ \ \ \ \ \ \ \ \ $$ Making $u$ = $3x+5$ ...