Writings

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When does a polynomial with real coefficients have only real roots? Here's one way to determine it.

Driving down the highway in upstate Michigan yesterday, I saw a State Police billboard that states (I paraphrase) Drivers who text are …

Here's a slightly non-obvious relation between some angles, that I ran into accidentally. Claim: (angles below given in degrees) \[ …

A short note about an implicit assumption behind the notion of expectation values, and how it relates to economics applications.

I try to reformulate an idea of Capoferri and Vassiliev in the infinitesimal limit and see where it goes.

A follow up to my previous post on Young's inequality.

Some introductory notes about the definition and geometry of Lie groups, and their analysis.

As we all learned in a first course in PDEs, for "reasonable" initial data $u_0$, the solution to the linear heat equation …

This post is about the formulation of the dynamics of a rigid body, under rotations, as dynamics on a Lie group. I'm writing this to …

Some notes on the relationship between different models of hyperbolic plane