Symmetry analysis on symmetry cognition on multilevel figures

On Symmetry of Some Nano Structures

It is necessary to generate the automorphism group of a chemical graph in computer-aided structure elucidation. An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix M = [dij], where for i≠j, dij is the Euclidean distance between the nuclei i and j. In this matrix dii can be taken as zero if all the nuclei are equivalent. Otherwise, one may introduce...

Lie symmetry analysis for Kawahara-KdV equations

We introduce a new solution for Kawahara-KdV equations. The Lie group analysis is used to carry out the integration of this equations. The similarity reductions and exact solutions are obtained based on the optimal system method.

Symmetry of Fullerene C_60

A Discussion on Concept of Symmetry snd Asymmetry

This paper is concerned about the concept os asymmetry. The different types of asymmetry for univariate and multivariate distributions have introduces been considered as well as some of usual asymmetry criteria. A brief overview of method for adding the capability of modeling asymmetry to a symmetry distribution is also a secondary purpose of this paper.

lie symmetry analysis for kawahara-kdv equations

we introduce a new solution for kawahara-kdv equations. the lie group analysis is used to carry out the integration of this equations. the similarity reductions and exact solutions are obtained based on the optimal system method.