## MathematicsMore ideas (maybe): - The mathematics of rotation in
`ℝ`^{n}and representing the orientation of a-dimensional polytope in*k*`ℝ`^{n}(related to the Hyper screen saver)
- The most interesting mathematical subject I’ve encountered since graduation: geometric algebra
- The noncentral
*t*-distribution and the noncentral-distribution*χ*^{2} - Introduction to the most basic concepts of topology and measure theory (leading to continuous functions and measurable functions)
- Some math related to the problem of unbiased sampling of particulate
material (and laboratory subsampling) —
For a lot consisting of
particles, the sampling schemes that are guaranteed to be unbiased can be represented as a convex polytope in a high-dimensional real vector space (but how many vertices does this polytope have?)*n*
If Dick won the javelin throw, who finished second in the 100-yard dash?
One may assume:
- The scoring was the same for all events.
- More points were awarded for first place than second, and for second place than third.
- No fractional points were awarded.
for = 0 ito ndo[ a ] ← 1;ifor = 2 mto ndofor = jmto ndo[ a ] ← j[ a ]
+ j[ a − j ];m | ||