Writings

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A fundamental result in measure theory is Egorov's Theorem, which says that if a sequence of measurable functions converge point-wise, …
Last updated on 11 min read mathematical diversions

A proof of Fermat's Right Triangle Theorem.
Last updated on 3 min read mathematical diversions

Had some recent struggles to get asymptote to render 3D graphics on either my office desktop or on my Chromebook. After some digging I …
Last updated on 2 min read Non-Math

Apologies if this post is shoddily written; I mainly just wanted to record an explicit counterexample before I forget it, and this post …
Last updated on 4 min read Mathematical diversions

In a previous post we discussed a little problem in "almost" Finsler geometry. In this post we will dissect some properties …
Last updated on 9 min read Mathematical Diversions

Embedding theorems for Weighted Sobolev Spaces
Last updated on 8 min read Expository

This post is inspired by: In the diagram a 1 meter rod, initially horizontal, rotates 90-degrees about endpoint B & then translates …
Last updated on 11 min read Mathematical Diversions

This post concerns the second mean value theorem for definite integrals. Theorem    [Second MVT for Integrals] Let $w$ be a …
Last updated on 4 min read expository

Since I am preparing to teach intro real analysis this fall, it is a good time for me to get reacquainted with Riemann integration and …
Last updated on 8 min read expository

This short post aims at proving a general version of the Moore-Osgood Theorem on interchanging of limits. Theorem   …
Last updated on 2 min read expository