Linear alkanes were removed in favor of highly branched and cyclic molecules. A direct sum of finite cyclic groups is periodic. Most of these cyclic changes are caused by astronomic cycles. The concepts of symmetry, equilibrium and cyclic repetition permeated Aristotle's work. In this case the theory of automorphisms of a finite cyclic group can be used. Superoxide can also be generated in aprotic solvents by cyclic voltammetry. The materials can be cyclic or polymeric. The reciprocal polynomial finds a use in the theory of cyclic error correcting codes. There are 15 distinct subgroup dihedral and cyclic symmetries. The physics behind this fatigue mode is accumulation of microstructural damage during cyclic loading. Metals under continual cyclic loading can suffer from metal fatigue. All subgroups and quotient groups of cyclic groups are cyclic. Solvent choice for cyclic voltammetry takes into account several requirements. The electrodes are immobile and sit in unstirred solutions during cyclic voltammetry. Yaw control develops through opposing cyclic pitch in each rotor.