# Writings

### Sum space need not be normed

Apologies if this post is shoddily written; I mainly just wanted to record an explicit counterexample before I forget it, and this post …

### Rod and Balls and Finsler (Redux)

In a previous post we discussed a little problem in "almost" Finsler geometry. In this post we will dissect some properties …

### Some Notes on Weighted Sobolev Spaces

Embedding theorems for Weighted Sobolev Spaces

### A Rod and Ball Problem (Finsler Geometry)

This post is inspired by: In the diagram a 1 meter rod, initially horizontal, rotates 90-degrees about endpoint B & then translates …

### The Second Mean Value Theorem for Integrals

This post concerns the second mean value theorem for definite integrals. Theorem    [Second MVT for Integrals] Let $w$ be a …

### Integration Theories

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 …

### Moore-Osgood Theorem

This short post aims at proving a general version of the Moore-Osgood Theorem on interchanging of limits. Theorem   …

### Jacobi Iteration Method

Summary of the Jacobi iteration method in numerical linear algebra, and some caveats.

### Volume of Simplices

How to compute the volume of a simplex using the Cayley-Menger determinant, and a higher dimensional Pythagorean theorem

### Logical Formulae

Since the COVID-19 crisis and the university moving to online instruction, I've spent too much time programming WeBWorK assignments. …