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Composition and inverse for functions of many variables and algebraic system of equations

Research paper by Zi Qian Wu

Indexed on: 02 May '16Published on: 02 May '16Published in: Mathematics - General Mathematics



Abstract

In this paper we extended the composition and inverse to functions of many variables. As an application we gave formula solutions expressing by functions of many variables to general transcendental equations. We built algebraic system of equations. The equations contained in it will be algebraic equations if the elements of its basic set are numbers and the equations will be operator equations if the elements of its basic set are functions. Actually we will have a united concept for algebraic equations and operator equations. We discussed the probability to express these solutions in binary functions or unary functions. Here we are looking forward the positive result for Hilbert 13th problem in smooth situation.