This paper studies analogical proportions in monounary algebras consisting only of a universe and a single unary function. We show that the analogical proportion relation is characterized in the infinite monounary algebra formed by the natural numbers together with the successor function via difference proportions.

翻译：本文研究仅由全域和单一一元函数组成的单值代数中的类比比例关系。我们证明，在自然数与后继函数构成的无限单值代数中，类比比例关系可通过差比性质进行刻画。