Mathematics

More ideas (still to be developed):

• The math­ematics of rota­tion in ℝⁿ and represent­ing the orienta­tion of a k-dimensional poly­tope in ℝⁿ (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 χ²-distribution
• 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 n 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?)
• Mathematical recreations (e.g., see Track-and-field)

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12 Mar 2010 Keith