Abstract :
A certain number system, governing combinatorial operations of elements of a given set, is provided. The operations are commutative, associative and distributive. The system rules countable sets of elements, i.e. parameters, such as define a complex number, and serves for precise and compact statements and for rational evaluation of explicit computable forms and formulas. The operations with elements (numbers) are associated with symmetric functions, and the application is demonstrated by network problems.
