A REDUCE package for Symmetry
نویسنده
چکیده
The exploitation of symmetry is a very important principle in mathematics, physics and engineering sciences. The aim of the SYMMETRY package is to give an easy access to the underlying theory of linear representations for small groups. For example the dihedral groups D3, D4, D5, D6 are included. For an introduction to the theory see Serre [3] or Stiefel and Fässler [4]. For a given orthogonal (or unitarian) linear representation
منابع مشابه
Reduction of Differential Equations by Lie Algebra of Symmetries
The paper is devoted to an application of Lie group theory to differential equations. The basic infinitesimal method for calculating symmetry group is presented, and used to determine general symmetry group of some differential equations. We include a number of important applications including integration of ordinary differential equations and finding some solutions of partial differential equa...
متن کاملTHE EFFECT OF TWELVE WEEKS OF SENSORIMOTOR EXERCISES ON DISTRIBUTION PLANTAR PRESSURE VARIABLES AND SYMMETRY INDEX IN PATIENTS WITH PATELLOFEMORAL PAIN SYNDROME: A RANDOMIZED DOUBLE-BLIND CLINICAL TRIAL
Background & Aims: In patients with patellofemoral pain syndrome, the presence of pain, proprioception, and neuromuscular disorders leads to posture control disorder, which causes abnormal distribution plantar pressure. The aim of the present study was to investigate the effect of twelve weeks of sensorimotor exercises on distribution plantar pressure variables and symmetry index in patients wi...
متن کاملبررسی تقارن ادوار تجاری با رویکرد آنالیز موجک
Symmetry or asymmetry of the business cycle is an important issue in order to select the behavior patterns and prediction of macroeconomic fluctuations. Factors such as oil prices, the financial crisis, uncertainty, the delay on learning, etc., Can cause lack of symmetry in the cycle. Decomposition of the business cycle by wavelet transform, which is strong instrument for processing data, and r...
متن کاملGeM software package for computation of symmetries and conservation laws of differential equations
We present a recently developed Maple-based “GeM” software package for automated symmetry and conservation law analysis of systems of partial and ordinary differential equations (DE). The package contains a collection of powerful easyto-use routines for mathematicians and applied researchers. A standard program that employs “GeM” routines for symmetry, adjoint symmetry or conservation law analy...
متن کاملA Computational Group Theoretic Symmetry Reduction Package for the Spin Model Checker
Symmetry reduced model checking is hindered by two problems: how to identify state space symmetry when systems are not fully symmetric, and how to determine equivalence of states during search. We present TopSPIN, a fully automatic symmetry reduction package for the SPIN model checker. TopSPIN uses the GAP computational algebra system to effectively detect state space symmetry from the associat...
متن کامل