A fundamental domain of geometric object X is a minimal subset D such that the object can be covered by isomorphs of D under the natural symmetry group of X. For a convex polyhedral cone we have the property that every orbit of extreme rays has exactly one representative in a given fundamental domain. In this talk I will present some ideas and preliminary experiments for computing orbits of ext...

background: protein-protein interactions do not provide any direct information re­garding the domains within the proteins that mediate the interactions. the majority of proteins are multi domain proteins and the interaction between them is often defined by the pairs of their domains. most of the former studies focus only on interacting do­main pairs. however they do not consider the interaction...

Cepstrum is an algorithm for analyzing the speech signals in frequency domain. This is conventional method of fundamental peak picking i.e. fundamental frequency or pitch. For a speech signal it is necessary to identify the fundamental frequency correctly in order to have robust system for speaker identification and verification. Using this approach two algorithms has been proposed using Hammin...

in this paper, optimum location of power system stabilizers in order to damp inter-area oscillations has been investigated by using modal series method. nonlinear effects grow in dynamical behaviors of heavily loaded stressed power systems significantly. hence linear based methods and techniques no longer present clear and exact response of the systems. in this article by defining new nonlinear...

We consider the 3D incompressible Euler equations in vorticity form following fundamental domain for octahedral symmetry group: {(x1,x2,x3):0<x3<x2<x1}. In this domain, we prove local well-posedness Cα vorticities not necessarily vanishing on boundary with any 0<α<1, and establish finite-time singularity formation within same class smooth compactly supported initial data. The solutions can be e...