It is proved theoretically that the mapping combined with genetic algorithm is an isomorphic mapping, however, it is not a homomorphic mapping combined with differential evolution.

• Michalewicz(1999年)提出了一个处理约束的映射，本文从理论上证明了当这个映射与遗传算法相结合时，该映射是同构映射，而在差分演化算法的变异操作下，该映射不是同态映射，更不是同构映射。