This post is part of a series on key concepts in atmospheric science and geophysical fluid dynamics. You can find previous posts at the following links: Geostrophic Balance, Thermal Wind Balance. This post will focus on vorticity, a local measure of rotation in flows. Continue reading
Most of the performances I saw in November and December were at the Joyce, but I also saw some special holiday shows: the Rockettes, Martha Graham’s Appalachian Spring (I have no idea why this was the choice for a holiday show), and two Nutcrackers. Continue reading
I saw five ABT performances this past Met season. I continue to prefer the variety of the fall season. All five performances were of story ballets, and only the two performances of Romeo and Juliet weren’t a restaging or reconstruction of a Petipa ballet. The only new work was Ratmansky’s reconstruction of Harlequinade. More details on each performance I saw are below the fold. Continue reading
Here are my favorites of the books I’ve read so far this year! The post is split by target audience and genre. My YA reading has been weighted heavily in favor of contemporary, so I chose twice as many contemporary favorites as sci-fi/fantasy ones. Continue reading
There is a famous paper in the field of dynamical systems titled “Period Three Implies Chaos.” The result in this paper by Li and Yorke is actually stronger than the statement in the title, but that’s the cleanest and flashiest part.
The systems the paper considers are difference equations. We can think of measuring some quantity x at discrete points in space or time. I’ll use time here for simplicity. This could track things like a population in an ecosystem, the position of an object, or the concentration of some part of a solution. Continue reading
You may seek it with thimbles — and seek it with care;
You may hunt it with forks and hope;
You may threaten its life with a railway share;
You may charm it with smiles and soap…
From Lewis Carroll’s “The Hunting of the Snark”
A snark (of the mathematical variety, at least) is a type of graph that comes up in a number of important questions in graph theory but about which we know relatively little. We don’t even know of many examples of snarks beyond a couple of infinite families. Continue reading
I was at someone’s apartment recently, and I noticed an interesting pattern in his wood floor. “May I take a picture of the hexagons on the floor?” I asked.
“Sure — wait, hexagons? What hexagons?” I outlined one with the toe of my shoe, and he said, “Oh, I see the rhombi.”
What do you see? What questions could you ask about this pattern? Continue reading
Today’s Games for Young Minds newsletter was about Mastermind, and it reminded me of a project I did a few years ago about using information theory to solve Mastermind. That’s what I’m writing about today! Warning: this will have strategy spoilers, though some parts of the strategy are impractical to do by hand. Continue reading