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exact-arithmetic

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A lightweight, no-std, pure Rust mathematical kernel for the exact evaluation of two-center Coulomb integrals over ns Slater-type orbitals. Features a zero-allocation, physics-agnostic implementation suitable for both semi-empirical methods (QEq/ReaxFF) and ab initio calculations.

  • Updated Feb 26, 2026
  • Rust

Exact-arithmetic computational study of the unit-square four-distance problem (rational distances to all four corners, Guy UPINT D19): K2,2 search, slope closure, Sage Mordell-Weil quartic fibers, and a theorem-grade filter stack.

  • Updated Jun 18, 2026
  • Python

Byte-exact theorems on the Fermat quartic fourfold lattice — from a run at the unbeaten dimension-128 sphere-packing record. Keystone: the Bridge Theorem (Hodge norm = geometric intersection form).

  • Updated Jun 25, 2026
  • Python

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