Angular momentum, convex Polyhedra and Algebraic Geometry
نویسندگان
چکیده
منابع مشابه
Angular Momentum, Convex Polyhedra and Algebraic Geometry
The three families of classical groups of linear transformations (complex, orthogonal, symplectic) give rise to the three great branches of differential geometry (complex analytic, Riemannian and symplectic). Complex analytic geometry derives most of its interest from complex algebraic geometry, while symplectic geometry provides the general framework for Hamiltonian mechanics. These three clas...
متن کاملGeneration of Basic Semi-algebraic Invariants Using Convex Polyhedra
A technique for generating invariant polynomial inequalities of bounded degree is presented using the abstract interpretation framework. It is based on overapproximating basic semi-algebraic sets, i.e., sets defined by conjunctions of polynomial inequalities, by means of convex polyhedra. While improving on the existing methods for generating invariant polynomial equalities, since polynomial in...
متن کاملNon-Convex Optimization via Real Algebraic Geometry
The high level purpose of this paper is to describe some recent advances in the field of Mathematics called Real Algebraic Geometry, and discuss some of its applications to complexity theory, and non-convex optimization. In particular, one of the questions underlying the entire development, is the crucial question: What makes an optimization problem difficult or easy? Along the way, we try to p...
متن کاملReal Algebraic Geometry in Convex Optimization
Real Algebraic Geometry in Convex Optimization
متن کاملAspects of Convex Geometry Polyhedra, Shellings, Voronoi Diagrams, Delaunay Triangulations
Some basic mathematical tools such as convex sets, polytopes and combinatorial topology, are used quite heavily in applied fields such as geometric modeling, meshing, computer vision, medical imaging and robotics. This report may be viewed as a tutorial and a set of notes on convex sets, polytopes, polyhedra, combinatorial topology, Voronoi Diagrams and Delaunay Triangulations. It is intended f...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1983
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500016837