partition-function

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np-douce / website

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.

entropy statistical-mechanics np-hard np-complete tsp-problem vertex-cover computational-complexity travelling-salesman-problem tsp-solver 3-sat 3-satisfiability hamiltonian-cycles thermal-dynamics boltzmann-distribution np-hard-problem independent-set partition-function

Updated Aug 26, 2026
JavaScript

Justo-Tapiador / conjugate-neuron

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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

experiment typescript research neural-network softmax microstate hyperoperation tropical-mathematics logsumexp partition-function conjugate-arithmetic

Updated Aug 8, 2026
TypeScript

gbarbalinardo / primeleaf

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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.

statistical-mechanics combinatorics prime-numbers riemann-zeta number-theory mathematical-physics partition-function

Updated Aug 9, 2026
TeX

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