Archive for January, 2008

Math stand-up act

(This is the act that I performed at the first annual IU math department talent show last night. The preceding act was a bass/recorder duet.)

Wow, there are some great acts here. In particular, I think the basis we just heard was great. His music spanned our three-space quite nicely. Anyway, I was going to bring some predatory birds here, but then I realized it wasn’t a talon show.

Okay, I’d like to make a request of you before I start my act. Please laugh very loudly at everything I say, because nobody might actually find it funny.

So, math comedy. When I told my friends I was going to do a math stand-up act, one of them replied, “Chuck Norris knows the tangent of pi over two!” Well…okay. I’m not sure how to respond to that.

Math comedy is certainly a niche audience, though. Even among mathematicians. If you ask a statistician if they’ve heard a joke before, they say “Probably.”

Anyway, there are a lot of oldies-but-goodies. There’s the joke about the mathematician who gives a talk about 13-dimensional space. Afterwards, an engineer comes up to him and says, “Wow, how could you possibly visualize 13-dimensional space?” The mathematician responds simply, “That’s easy, I just visualize n-dimensional space, and set n equal to 13.”

Of course, many sub-disciplines come with their own occupational hazards. They say topologists can’t tell the difference between a doughnut and a coffee mug, them being homeomorphic and all. I’m not sure if that’s true; I’ll ask Kent after the show.

And then physicists get their own brand of flak from mathematicians. Physicists, you see, use a special brand of mathematics. The really fuzzy type…that’s usually wrong, but somehow comes up with the right answers all the time. I think one thing in particular illustrates physicist math. Those of you who know some physics may know that electric and magnetic waves propagate as orthogonal sinusoidal waves. The direction in which they are pointing, the vector representing the energy flux of the wave, that’s called the Poynting vector. I don’t know about you, but I never make distinctions about which of my vectors are pointing. They all are!

Anyway, the other day I was going to a geometry conference, and I was speaking on constructible diagrams. I was flying out of the airport, but I was stopped at security because of my straightedge and compass. They found my weapons of math construction. I ended up missing my plane. But it’s okay; luckily I had three points in my pocket, so I defined my own plane and got there on time.

You know, we mathematicians are always trying to prove to everyone that there’s math everywhere. In particular, there’s a lot of math in the Bible; did you know that? For example, a lost story from the gospels. One day, Jesus said, “The kingdom of heaven is like x squared plus 3x plus 5!” Somebody went up to Matthew and asked him, “What is Jesus talking about?” “Don’t worry,” responded Matthew, “that’s just another one of his parabolas.”

Then there’s also the story in Genesis with Noah’s Ark. After the ark landed, Noah told all the animals to go forth and repopulate the world. Two snakes stayed behind, and told him, “We can’t do that until you build us a wooden desk.” So, whatever, he built it, and lo and behold, they started to reproduce. He asked them what the problem was, and they said, “Well, we’re adders. We need log tables to multiply.”

The other day I was proving a theorem. It was a long theorem, with a lot of significant intermediate stages. I got to one of those stages, and I said to myself, “Do I have to finish? Lemma stop here.”

Medicine has made great strides recently. When right triangles get old, they sometimes start to sag, their right angle turns into 89 degrees, 88 degrees… Anyway, they made this injection, you can just apply it to the triangle, and the angle will snap back up to a right angle. It’s called Pythagorean serum.

The other day I was at the concession stand. I wanted a medium order of Fibonachos, and my friend wanted a small order. But then I realized that a small plus a medium cost the same as a large.

I usually eat more healthily. I found a grape that could commute, it’s called an abelian grape.

I thought up a great anagram for Banach-Tarski. Ready? It’s… “Banach-Tarski Banach-Tarski.”

Some people have wondered why Newton didn’t contribute to group theory. It’s because he wasn’t Abel.

Have you heard? A former vice president recently released some rap tapes to teach computer science. It’s called “Al Gore Rhythms.”

Even mermaids like math. They wear algae bras.

Okay, just one more and I’ll leave you guys alone. So, as you know, lately, the military has been having issues with how its officers are perceived. Some kernels have expressed concern at their rather zero-dimensional images.

VHS : Blu-ray :: Betamax : HD DVD?

Well, guys, I don’t want to be premature about this, but it looks like Blu-ray is coming on top against HD DVD in the DVD format wars.

Format wars are nothing new to the movies. A bit before our time, VHS and Betamax had a showdown to be the cassette tape format, and VHS definitively won. I would speculate myself on the reasons for VHS’s triumph, but this topic has been exhaustively discussed by people far more qualified than I. Google it.

Likewise, DVD+R and DVD-R now (mostly) coexist peacefully, as most people have +/- drives that can read and write both.

What’s the difference? + and – have different ways of storing data. The differences are largely esoteric, and have to do with both the physical configuration of pits and the logical groupings of data on the disc itself. That said, those esoteric differences are actually manifested in the performance of the discs, especially with regard to error correction. Both are highly usable, and because they are largely compatible, neither has stomped out the other.

Unfortunately, it seems that 4.7 GB is not enough for people nowadays. Even dual-layer DVDs, which store about 8.5 GB, are somehow inadequate for everyone’s oh-so-sensitive eyes. (I don’t get it. I’m relatively happy with VCD-quality 700 MB movies, and don’t understand why people need such high-definition movies. On the flip side, a lot of people are happy with 128 kbps MP3s, but I myself want at least 192 kbps, and even higher for classical music.)

Anyway, two new optical disc formats have been invented. HD DVD, championed by the DVD Forum consortium, stores about 15 GB per layer. Blu-ray, pushed by Sony, stores a ridiculous 25 GB per layer. Both owe their existence to still-expensive blue lasers which can write data more compactly than the lasers used by DVDs.

Both BD and HD players are rather expensive at the moment; the cheapest HD DVD player retails for $150, and most Blu-ray Disc players are over $300.  If Blu-ray players are more expensive, what’s the advantage, besides higher capacity?

Sony’s PlayStation 3 console, despite its poor showing against the Xbox 360 and Wii, can play BD. While it is expensive, the PS3 is the only example of convergent technology yet to hit high-density optical disc players. No other player can do anything else.

Another, and in my opinion, even bigger issue, is that consumers are unclear about the difference. In particular, in a market saturated with High Definition: HD-upscaling DVD players, HD broadcasts, HD-ready televisions…I think that “HD” is too generic a moniker. “HD DVD” sounds simply like a better sort of DVD, not a completely different format. Blu-ray has a distinctive name and, being backed by Sony rather than a poorly-defined group of companies, just has a sort of presence that HD DVD doesn’t.

Recently, Warner announced that it would start releasing high definition films exclusively in Blu-ray format. They are now the fifth studio to exclusively support Blu-ray, among such giants as MGM, Disney, and Twentieth Century Fox. HD, on the other hand, is supported only by Universal and Paramount.

Blu-ray and HD DVD are too expensive to coexist peacefully, at least for the near future. Each requires a several hundred dollar investment. I am pleased that it looks like one will die out, because coexisting formats just result in a nightmare for uninformed consumers. Good for you, Sony. Ever since Betamax failed, we knew you’d rule video formats again some day.

It’s been a while

Yes, so I know I haven’t written here in forever! I’m going to commit to writing about the following things in the near future:

  • Brainiac, by Ken Jennings, which I finished over break.
  • Quizbowl: college quizbowl, high school quizbowl, and Aegis.
  • Gödel, Escher, Bach, by Douglas Hofstadter, which I am about to finish.
  • How things are generally going.