study of tectonic affects in many fluvial systems shows that, rivers are valuable tools to active tectonics surveying. study of stream channels and their associated deposits offset by faulting may reveal the amount displacement at particular site and give information that is critical for future earthquake hazards evaluation. study area which is a subbasin of atrak river is located at the ne ira...

We obtain a large number of degree and distance-based topological indices, graph Laplacian spectra the corresponding polynomials, entropies matching polynomials n-dimensional hypercubes through use Hadamard symmetry recursive dynamic computational techniques. Moreover, computations are used to provide independent numerical values for indices 11- 12-cubes. invoke symmetry-based transforms nD-hyp...

A hierarchy of matrix-valued polynomials which generalize the Jacobi polynomials is found. Defined by a Rodrigues formula, they are also products of a sequence of differential operators. Each class of polynomials is complete, satisfies a two-step recurrence relation, integral inter-relations, and quasi-orthogonality relations. 1. Motivation The understanding of matrix-valued orthogonal polynomi...

in this paper we establish several polynomials similar to bernstein's polynomials and several refinements of  hermite-hadamard inequality for convex functions.

Many applications give rise to matrix polynomials whose coefficients have a kind of reversal symmetry, a structure we call palindromic. Several properties of scalar palindromic polynomials are derived, and together with properties of compound matrices, used to establish the Smith form of regular and singular T -palindromic matrix polynomials over arbitrary fields. The invariant polynomials are ...