Mathematical Diversions

A collection of mathematical miscellany that diverts me from my main research interests. Some of the posts are interesting (to me) mathematical problems with their solutions. Others are mostly recreational things that distracted me at one time or another. The intended audience for posts in this category are my sole self, and so I make no great effort to polish the writing. Do send me an email with questions if you find anything here interesting or confusing.

Numpy simulation of how classical and quantum particles interact with potential barriers.
Last updated on 8 min read mathematical diversions

Can initial data for Einstein's equation be specified in such a way that all the 'energy' are kinetic and not potential?
Last updated on 4 min read mathematical diversions

When does the decimal expansion of a number end with one digit repeated?
Last updated on 3 min read mathematical diversions

It is fairly well known that experts in partial differential equations and experts in harmonic analysis prefer to define the Fourier …
Last updated on 2 min read mathematical diversions

A bit of trivia (can't think of any use of it now) Theorem   Let $(M,g)$ be a two-dimensional compact Riemannian manifold with …
Last updated on 2 min read mathematical diversions

First let us consider the following question on a finite dimensional vector space. Let $(V, \langle\cdot\rangle)$ be a $k$-dimensional …
Last updated on 4 min read mathematical diversions