Problem: I know a) is True because if A = null set then we can take B = {271} b) the set difference of A is a null set and therefore it is False c) is als...

How to solve this problem, I can not figure it out: If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The su...

I'm confused about why we should change door in the Monty Hall Problem, when thinking from a different perspective gives me equal probability. Think ...

For instance, here's definition 16 of the Ethereum Yellow Paper: Does $\wedge$ simply mean a concatenation of statements? Like the logic gate AND?

Just checking. $2^n$ ($n \to \infty$) tends to $\infty$. + $3^n$ also ($n \to \infty$) tends to $\infty$ so the sum gets me $\infty$. Now $(\infty)^{1/\in...

Let $x(t), x(0)=0$ be a Wiener process with the parameters $a$ and $\sigma.$ Prove that its mean equals $a \cdot t$ and its covariance $R(t,s)$ is equal $...

This answer says that $Y = zX$ is a simplest example of non-causal system because it corresponds to $y_n = x_{n+1}$ and current output depends on future i...

Of course, if you plug the cube root of 9 into a calculator, you get an endless stream of digits. However, how does one prove this on paper?

There are 3 types of connectivity when talking about a directed graph $G$. 1) weakly connected - replacing all of $G$'s directed edges with undirecte...

Am currently doing a question that asks about the relationship between a quadratic and its discriminant. If we know that the quadratic $ax^2+bx+c$ is a pe...