The perpetual work-in-progress.
Asking someone in a STEM field to justify linear algebra concepts is a bit like asking a Haskell programmer about monads. The best case scenario is that you’ll get a shrug and a “don’t worry about it, just learn when to use it”. The more common scenario is an hour-long explanation that leaves you more confused than when you started. In keeping with my lifelong passion for confusing and upsetting…
It’s been a long and wonderful four years at the University of Texas at Austin. A huge thanks to my friends, family, and teachers, all of whom did much to support me thus far. Here’s a quick overview of where I am, what I’ve done, and where I’m headed.
Hash functions are great - for computers. But how often do you find yourself actually verifying checksums by hand or eye? Wouldn’t it be nice if we could take a blob of binary, like an RSA key or a piece of software, and then not just hash it into something illegible like d732fee6...5787c7ae, but make an English phrase that’s memorable enough for a human to remember?
This one’s going to be pretty quick. Here’s a puzzle.
Some games are easy. Some games are hard. But not all hard games are hard in the same ways. Dark Souls is not difficult in the same way as, say, Go1. To that end, I would like to propose a model of, let’s say, five different types of difficulty in games. As you might notice, here I’ll be using the word “game” loosely to encompass video games, board games, card games, and physical sports. You’ll…
Most schools teach number systems the same way. First they teach natural numbers (or “counting numbers”), then integers, rationals, reals, and complex numbers, in that order. Rationals are countable and reals are not, but that’s okay. Once you start taking roots, you need a number system more powerful than a countable underlying set allows for. Right?
The following is a collection of vague insights I gathered while preparing for, and taking, the GRE. Reading this guide won’t automatically increase your score or anything, but hopefully it’ll give you some ideas on how to squeeze out those last few points, or at least understand the mentality of the test-makers. That being said, do understand that getting a perfect score is largely a matter of…