Brantley Fights Functors

A Blog by a Math Student.

We Made the Isospectral Drums and it Went... Fine

We Made the Isospectral Drums and it Went... Fine

It's usually the task of the modeler to make their assumptions fit the real world as closely as is practical. It was now our task to make a real-world drum...

Playing Cards with Bayes' Theorem

Playing Cards with Bayes' Theorem

Half the fun of Wizard 330 comes from the simple joy of over-analysis.

What's So Great About Polynomials?

What's So Great About Polynomials?

There is at least one good reason to care about polynomials!

Probabilities Are Less Real Than You Think

Probabilities Are Less Real Than You Think

Probability statements tend to carry some of the gravitas and authority of mathematics. I claim that we tend to take these statements too seriously. Real world events do not have...

Paper Explainer: Geometry and Stability of Supervised Learning Problems

Paper Explainer: Geometry and Stability of Supervised Learning Problems

Is there a good way to think about making a whole bunch of changes to your problem at once?

What Does an OSI Layer Even Mean?

What Does an OSI Layer Even Mean?

The Logarithmic Black Sheep

The Logarithmic Black Sheep

Every time I am forced to check if my exponent falls into this one exceptional case, a voice somewhere in my head protests. How does this make sense?? How do...

The Two Guards Riddle: A Couple of Insights

Remember that riddle with the two doors and the two guards, where one always lies and one always tells the truth? I was reminded of it when it came up...

"Why Do I Need Complex Numbers?"

We can call the coin a 25 cent piece instead of a quarter. Bon Jovi can sing about being 50% of the way there.

Fight Functors with Fire

Don't just read it; fight it!