Point group symmetry applications: methods and tablesby P. H. Butler

Sakyo , Kyoto 606 - 8501 , Japan Group Symmetry in Interior - Point Methods for Semidefinite Program

A class of group symmetric Semi-Definite Program (SDP) is introduced by using the framework of group representation theory. It is proved that the central path and several search directions of primal-dual interior-point methods are group symmetric. Preservation of group symmetry along the search direction theoretically guarantees that the numerically obtained optimal solution is group symmetric....

Sequential Methods and Their Applications

Spectrophotometric study of complexation equilibria with H-point standard addition and H-point curve isolation methods.

The use of H-point curve isolation (HPCIM) and H-point standard addition methods (HPSAM) for spectrophotometric studies of complex formation equilibria are proposed. One step complex formation, two successive stepwise and mononuclear complex formation systems, and competitive complexation systems are studied successfully by the proposed methods. HPCIM is used for extracting the spectrum of comp...

Multi-Weyl topological semimetals stabilized by point group symmetry.

We perform a complete classification of two-band k·p theories at band crossing points in 3D semimetals with n-fold rotation symmetry and broken time-reversal symmetry. Using this classification, we show the existence of new 3D topological semimetals characterized by C(4,6)-protected double-Weyl nodes with quadratic in-plane (along k(x,y)) dispersion or C(6)-protected triple-Weyl nodes with cubi...

Genetically modified mice- Methods, applications and outlook

Background & Aim: Transgenic mice, of tengenerated by random integration of foreign genes into the mouse genome or by targeted mutation in a particular gene, have demonstrated to be a very effective tool for studying gene function in living things. In this review article, we discussed on the current methods of generating genetically-modified mice and their related problems and then investigated...