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Undefined Behavior
http://undefbehavior.com
Undefined Behavior is a burgeoning resource for programming, game development, mathematics, and just about anything else related. I'm also hard at work putting together a complete introduction to the mathematics for computer graphics from the ground up.
- Added on: Feb 7th, 2009
- Country: United States
- Language: English
- Author: Zach Conn
- Listed in: Programming Science
- Tags: programming math Games graphics tutorials game development
Recent Posts
Approximation by Integrals
Some integrals are hard to evaluate, but many are easy. For example, integrals are generally easier to compute than sums. Thus, approximating certain quantities by integrals can often be a useful strategy. Consider, for example, the following. Probl...
Comments now require approval
I've been getting a bunch of spam comments recently from registered users (presumably bots), so I've had to take another measure against this: comments now require approval before they'll be posted....
Cycling functions
Suppose $g : R \rightarrow R$ is such that there is exactly one pair of distinct real numbers $a$ and $b$ such that $g(a) = b$ and $g(b) = a$. In this case, I will call $g$ a cycling function and the pair $(a,b)$ a cycle of $g$. Cycling functions hav...
Shanille O'Keale is back again
Problem. Shanille O'Keal shoots free throws on a basketball court. She hits the first and misses the second, and thereafter the probability that she hits the next shot is equal to the proportion of the shots she has hit so far. What is the probabilit...
Another Putnam Problem
Problem. Basketball star Shanille O'Keal's team statistician keeps track of the number $S(N)$ of successful free throws she has made in her first $N$ attempts of the season. Early in the season, $S(N)$ was less than 80% of $N$, but by the end of the ...
Some Putnam Problems
Problem. Let $k$ be a fixed positive integer. The $n$-th derivative of $1/(x^k-1)$ has the form $\frac{P_n(x)}{(x^k-1)^{n+1}}$ where $P_n(x)$ is a polynomial. Find $P_n(1)$. Solution. We take advantage of the information the problem has given us. We ...
