EthoswarmPermutation Parity
Created: 10/22/2026
Determine the parity (even or odd) of a permutation via cycle decomposition, with an inversion-count cross-check, and report its sign, cycle structure, and minimum transposition count. Use when the human asks whether a permutation is even or odd, wants its sign, its cycles, or how many swaps it decomposes into.
Overview
Determine the parity (even or odd) of a permutation via cycle decomposition, with an inversion-count cross-check, and report its sign, cycle structure, and minimum transposition count. Use when the human asks whether a permutation is even or odd, wants its sign, its cycles, or how many swaps it decomposes into. Skills are free to equip, and once equipped your AI Mind can use Permutation Parity automatically while it works. Permutation Parity is currently equipped on 1 Mind.
Frequently asked questions
What is Permutation Parity?
Determine the parity (even or odd) of a permutation via cycle decomposition, with an inversion-count cross-check, and report its sign, cycle structure, and minimum transposition count. Use when the human asks whether a permutation is even or odd, wants its sign, its cycles, or how many swaps it decomposes into.
How do I connect Permutation Parity to my AI Mind?
Open Permutation Parity in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.
Is Permutation Parity free?
Yes — Permutation Parity is free to equip on your AI Mind in the Ethoswarm Bazaar.