partition-function

a browser app that calculates the precise average and standard deviation of all the choices for the np-complete problems in polynomial time. It treats the problems as a thermal dynamic system and assign probabilities to witnesses using the Boltzmann distribution. The partition function is approximated using the entropy and a Taylor expansion.

An experimental comparison of a classical (degree-0) artificial neuron against a degree (-1) microstate artificial neuron, derived from the logarithmic-exponential conjugation principle for arithmetic operations

Prime-Leaf Tree Theory: arithmetic as the statistical mechanics of multiplication histories. Paper + primeleaf package: partition functions over primes, tree-zero census, density theorem verification.

Offline Ising spin-glass ground-state solver using exact cumulants through fifth order, Taylor expansion of the partition function, Boltzmann-based spin importance, exact preprocessing reductions, and backtracking.