Topics suggested by students
January 25, 2016
1:38 PM
-sampling 1,2,3,4....unordered-configurations on imported data sets.
-Cartesian powers of finite probability spaces.
-implementing category of finite probability spaces, verifying law of
large numbers, computing Boltzmann entropies, as ~discussed~ on pp.15-60
in
Six Lectures on Probabiliy, Symmetry, Linearity. October 2014, Jussieu
available at [link]
 -implementing nonstandard-analysis philosophy to 'real-variable'
computations. i.e. implement real numbers as "infinite processes".
-i want to compute and plot/manipulate legendre-fenchel transforms for
non-symbolic convex functions (as far as i can tell, functions having
closed-forms are reserved for childrens bedtime stories).
-exploiting the geometric and random-process capabilities of mathematica,
i.e. for poisson processes.
-making movies and "manipulations" in colour.
-If SL(2,R)=KAN, then solving `equations' of the form AKAk'a' \in K, where
the AKA term is prescribed, and we seek k',a' such that the product AKA
k'a' lies somewhere within the compact K=SO(2,R).
Since I still have a hard time to understand what sheaves are good for and
you mentioned categories as a possible topic, I would vote for playing
around with categories and co/contravariant functors in mathematica.