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Translation of Ludwig Boltzmann's paper "\"Uber die Eigenschaftenmonozyklischer und anderer damit verwandter Systeme" Crelles Journal 98. S.68-94. 1884 u. 1885 from German into English. In this foundational paperBoltzmann introduced two key concepts into statistical mechanics. The first isthe statistical ensemble. This includes what are now known as themicro-canonical and canonical ensembles, albeit under different names. Thesecond is the concept of ergodic systems, or ergodicity, which has played animportant if contentious part in the foundations of statistical mechanics.

On the Properties of Monocyclic Systems, and others related to them