Newton polyhedra and order of contact on real hypersurfaces

The purpose of this paper is to investigate order contact on real hypersurfaces in ${\mathbb C}^n$ by using Newton polyhedra which are important notion the study singularity theory. To be more precise, an equivalence condition for equality regular type and singular given polyhedron a defining function respective hypersurface. Furthermore, sufficient condition, useful, also given. This satisfied many earlier known cases (convex domains, pseudoconvex Reinhardt domains whose types 4, etc.). Under above conditions, values can directly seen simple geometrical information from polyhedron.