/explore
|
You are here 
|
almostsuremath.com | ||
| | | | |
www.jeremykun.com
Last time we investigated the naive (which I'll henceforth call "classical") notion of the Fourier transform and its inverse. While the development wasn't quite rigorous, we nevertheless discovered elegant formulas and interesting properties that proved useful in at least solving differential equations. Of course, we wouldn't be following this trail of mathematics if it didn't result in some worthwhile applications to programming. While we'll get there eventually, this primer will take us deeper down the rabbit hole of abstraction. |
|
| | | | | ||
| | | | |
jmanton.wordpress.com
If $latex Y$ is a $latex \sigma(X)$-measurable random variable then there exists a Borel-measurable function $latex f \colon \mathbb{R} \rightarrow \mathbb{R}$ such that $latex Y = f(X)$. The standard proof of this fact leaves several questions unanswered. This note explains what goes wrong when attempting a "direct" proof. It also explains how the standard proof... |
|
| | | | | ||
| | | | |
djalil.chafai.net
[AI summary] A mathematical deep dive into the Wintner-Kosulajeff-Tukey phenomenon explaining how the fractional part of scaled random variables converges to a uniform distribution. |
|
| | | | | ||
| | | | |
www.pl-enthusiast.net
This post describes the structure, goals, and content of CMSC 330, UMD's sophomore-level programming languages course. This is part 1. |
|
| | | |||
