Math Club

Permanent Linkby undefined117, Apr 27, 2009, 6:01 am

My (regionally) high (they're not high) AMC and AIME scores caught the attention of a group of students at Canadian Academy, where I took the tests. One of them contacted me a few weeks ago, and I've been joining them in their unofficial 3-hour meetings every Saturday since.

Actually, I will probably not be going anymore, as the Purple Comet! Math Meet contest was today, and it takes me nearly three hours just to get there and back. With summer break approaching, they are adjourning until next year.

But verily, what they did was great. Canadian Academy currently does not have an official math club, but they have been getting together every weekend, three hours at a time without an adult supervisor, for seven months. I think the persistence is admirable.

I put together a practice Purple Comet test for them last Saturday using problems from the AMCs and some that I made myself. Fortunately, they liked it. I've always wanted to help teach math in some way (and I respect and admire many, many AoPS users for doing just that). It's a start. Maybe I'll start my own club when I get back to the states?

Anyway, thanks for inviting me to join your club, guys!

Back Pain

Permanent Linkby undefined117, Apr 10, 2009, 12:11 am

I have had chronic back pain for almost ten years. It's not severe, but lately it's been bothering me so much that I can't sit still for more than 10 minutes at a time. That, and a throbbing headache.

My mom took me to a doctor. After a two-hour wait and a few X-rays, he stretched my legs, tapped a few tendons, and pressed on some vertebrae to test for neurological problems or stress fractures. To my relief, he found none and explained that back pain was common among growing kids whose bones grow too fast for other organs to keep pace. The result is tight muscles and stretched nerves, both of which can cause pain.

I learned that my hamstring is too tight, which apparently is why my back curves forward so much when I sit; it's actually normal! The doctor also explained that many swimmers suffer from back pain and told me to slow down. (My coach is currently pushing me hard to beat my record, which isn't that great anyway.)

But when he pressed on my shoulders---OUCH. My headache is due to tight shoulders. I should stretch and rest up a bit. Maybe I should relax my head in the water when I swim.

Surprisingly, my back isn't twisted like it used to be back in grade school. Whew. Anyway, no surgery for me. :)

Learning Common Lisp

Permanent Linkby undefined117, Apr 04, 2009, 10:43 pm

Many online sources say that Lisp is a "programmable programming language." Defining my own macros, being creative, and all that sounded a lot like the Art of Problem Solving spirit. So I decided to learn it. I'm reading Practical Common Lisp by Peter Seibel. The examples make things clear. I can't say much else because I'm still a novice.

From "If programming languages were cars...":

Quote:
Lisp: looks like a car, but with enough tweaking you can turn it into a pretty effective airplane or submarine.

[from Paul Tanimoto:]

Lisp: At first it doesn't seem to be a car at all, but now and then you spot a few people driving it around. After a point you decide to learn more about it and you realize it's actually a car that can make more cars. You tell your friends, but they all laugh and say these cars look way too weird. You still keep one in your garage, hoping one day they will take over the streets.


And from Paul Graham, author of On Lisp, another ostensibly good book:

Quote:
Lisp code looks weird. But those parentheses are there for a reason. They are the outward evidence of a fundamental difference between Lisp and other languages.


For good measure, other entries from "If programming languages were cars...":

Quote:
Python is a great beginner's car; you can drive it without a license. Unless you want to drive really fast or on really treacherous terrain, you may never need another car.

C++ is a souped-up version of the C racing car with dozens of extra features that only breaks down every 250 miles, but when it does, nobody can figure out what went wrong.


I hope I'm getting somewhere with all this.

Supercritical Water Reactors (SCWRs)

Permanent Linkby undefined117, Mar 07, 2009, 9:25 am

My dad is a nuclear engineer, and he likes fluid dynamics. :) Last night he explained to me how the specific heat of a supercritical fluid sharply peaks at a certain pressure range (this relates, in some way too complicated for me, to the delta function). Okay, I didn't understand all of it, but this is the idea behind supercritical water reactors (SCWRs) currently under investigation in 13 countries around the world. If the pressure of the coolant can be maintained within that range, we could get more efficient, simpler, and generally safer reactors because there would be no worry of such things as steam bubbles (different density = problems), pumps, or condensers.

In light water reactors (most reactors in the world are LWRs), water enters the reactor core at 290°C and exits at around 315°C---only a 35°C difference due to water's high specific heat, but this could be improved by using supercritical fluids.

Wikipedia has better writers:

Quote:
Advantages
  • Supercritical water-cooled reactors promise to have thermal efficiencies of approximately 45% versus the current 33% of light water reactors.
  • The supercritical coolant has a high specific enthalpy.
  • The SCWR design is far simpler than current designs, eliminating circulation pumps, pressurizers, steam generators, steam separators and dryers.

Disadvantages
  • Many of the materials needed for the SCWR are either expensive, rare, or do not exist.
  • Specific start-up procedures required to avoid instability.
  • Unknown chemistry.
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