Chalkboard - v3.0.4
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    Function preimage

    • Calculates the preimage of a morphism, either for its codomain or for a subset of its codomain.

      Type Parameters

      • T
      • U

      Parameters

      Returns ChalkboardSet<T>

      const Z4 = Chalkboard.abal.group(Chalkboard.abal.Z(4), (a, b) => (a + b) % 4, 0, (a) => (4 - a) % 4);
      const Z2 = Chalkboard.abal.group(Chalkboard.abal.Z(2), (a, b) => (a + b) % 2, 0, (a) => a);
      const parity = Chalkboard.abal.homomorphism(Z4, Z2, (x) => x % 2);
      const even = Chalkboard.abal.preimage(parity, Chalkboard.abal.set([0])); // Returns {0, 2}