Cycle Stoichiometry

Cycle stoichiometry is basically a new branch of arithmetics (cycle arithmetics), making the quantitative discussion of networks not containing OR-branchings possible. Theoretically it is applicable to any network (economic, financial, transportation, ecological, etc.), but up to now its application is elaborated for chemical networks (cycle stoichiometry) only. The essence of cycle stoichiometry lies in the fact that the members in the equations are divided into two groups at both sides of the equation, and treats the so-called linear members according to the usual rules of arithmetics, whereas for the so-called cycle members prescribes the application of new arithmetic rules. The two sides of equations are connected by
the so-called cycle symbol, instead of the usual equality sign.