## Factorial Approximations

31/03/2020

$n!$ (and its logarithm) keep showing up in the analysis of algorithm. Unfortunately, it’s very often unwieldy, and we use approximations of $n!$ (or $\log n!$) to simplify things. Let’s examine a few!

## How many bits?

24/03/2020

In this quarantine week, let’s answer a (not that) simple question: how many bits do you need to encode sound and images with a satisfying dynamic range?

Let’s see what hypotheses are useful, and how we can use them to get a good idea on the number of bits needed.