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A Quasiperiodic Counterexample

The problem Consider a function $$f: [0, 1] \to \mathbb{R}$$ that is continuous with $$f(0) = f(1)$$. It is possible to prove that for …

A Function Golf Challenge

“Code golf” is the practice of trying to solve a specific problem or implement a specific algorithm in the smallest possible number of …

The Perfect Math Library Doesn't Exi-

Introduction Many mathematicians have a rough mental list of “desert island” books - a small set of books they would choose if stranded …

Bootstrapping LOWESS

In chapter 1 of their 2016 book Computer Age Statistical Inference, Bradley Efron and Trevor Hastie use as an example a study of kidney …

Bayesian Estimation of Multinomial Parameter Ratios

Consider a multinomial distribution with $$c$$ categories and associated probabilities $$\pi_i$$, where $$i = 1,...,c$$. It is often …