Distribution of $-\log X$ if $X$ is uniform.
For $X$ and $Y$ random variables; $X$ follows the uniform distribution. (1): if $Y=-\log X$ (2): then it can be shown that $-\log X$ is distributed as $\e...
Published: Sep 06, 2026
Proving a relation is partial ordering
I have a problem proving that a very simple relation is partial ordering. It is defined explicitly (i.e. with pairs of numbers) and I have no idea how to ...
Published: Sep 06, 2026
Multiplication of two upper triangular matrices
Consider the product $C=(C_{ij})$ of two upper triangular matrices $A=(a_{ij})$ and $B=(b_{ij})$, with $n=m$ (rows=columns). Deduce the expression of $C=(...
Published: Sep 06, 2026
Rotation Matrix of rotation around a point other than the origin
In homogeneous coordinates, a rotation matrix around the origin can be described as $R = \begin{bmatrix}\cos(\theta) & -\sin(\theta) & 0\\\sin(\th...
Published: Sep 06, 2026
Calculating Christoffel symbol of the second kind in coordinates where basis are orthogonal to each other
Exercise 86,pg-73 of Pavel Grinfeld's Tensor Calculus Book: Derive the Christoffel symbols in spherical and cylindrical coordinates by the equation:$...
Published: Sep 06, 2026
How to find time period of a discrete time signal?
𝑥[𝑛] = cos (𝑛/8− 𝜋) Getting the value of cos(0)=1. For that we get n=8𝜋 and for again getting cos(x)=1, we can put n=24𝜋. So the value is repeating itself...
Published: Sep 06, 2026
Implication and Interpretation of Banach Tarski
As I understand, the Banach-Tarski paradox says a ball in 3-space may be decomposed into finitely many pieces and reassembled into two balls each of the s...
Published: Sep 06, 2026
Big Oh notation of $7x^2$, confused
I'm supposed to figure out the Big-Oh notation of $7x^2$. Take a look at this. Now this says: Show that $7x^2$ is $O(x^3)$ When $x>7, 7x^2<x^3$...
Published: Sep 06, 2026
Solve limit containing (1/0) using L'Hopital's Rule
I was assigned a problem in my calculus 2 course that I can't seem to solve. We're going over indeterminate forms solved by L'Hopital'...
Published: Sep 06, 2026
What set does $\mathbb W$ denote?
What set does $\mathbb W$ denote? I know this may horribly lack context, but I've seen multiple times on M.SE $\mathbb W$ used in some fairly element...
Published: Sep 06, 2026
