This is a brief review where some basic elements of non-commutative geometry are given. The rules and ingredients that enter in the construction of the standard model and grand unification models in non-commutative geometry are summarized. A connection between some space-time supersymmetric theories and non-commutative geometry is made. The advantages and prolems of this direction are discussed.

The technologies developed to solve the verifying compiler grand challenge should be generic, that is, not tied to a particular language but widely applicable to many languages. Such technologies should also be semantics-based, that is, based on a rigorous formal semantics of the languages. For this, a computational logical framework with efficient executability and a spectrum of meta-tools can...

The Shapley value is defined as the average marginal contribution of a player, taken over all possible ways to form the grand coalition N when one starts from the empty coalition and adds players one by one. The authors have proposed in a previous paper an allocation scheme for a general model of coalition formation where the evolution of the coalition of active players is ruled by a Markov cha...

Tes kystes du grand Epiploon sont assez rares, ct es lymphangiomies kystiques de grand epiploon asscz exceptionnelles.Le coutenu de ces kystes lymphatiques peuvent etres soit sereux soit chyleux.  Au point de vue pathogenic, Ladd et Gross pell­sent que ces kystes proviennent de l'isolemcnt ct du tlevelopement d'un ou plusieurs kystes lymphatiquc, primitifs.  Dans !'observation que nous prcsen...

Requiring that supersymmetric SU(5) and SU(6) grand unifications in the heterotic string theory must have 3 chiral families, adjoint (or higher representation) Higgs fields in the grand unified gauge group, and a non-abelian hidden sector, we construct such string models within the framework of free conformal field theory and asymmetric orbifolds. Within this framework, we construct all such st...

Malik Muhammad Khurram Sher Khan, MD, Malik Muhammad Humayun Sher Khan, MD, Aaron Tolan, MD, Darryl Elmouchi, MD, FHRS, Carlos E. Tavera, MD, FACP From the Grand Rapids Medical Education Partners, Michigan State University, Grand Rapids, Michigan, Frederik Meijer Heart & Vascular Institute, Spectrum Health, Grand Rapids, Michigan, and Department of Internal Medicine, Michigan State University C...

I discuss some new trends in Particle Theory beyond the Standard Model. Some topics which are briefly covered include electroweak baryogenesis, gauge versus non-gauge discrete symmetries, the strong-CP problem, dynamical symmetry breaking scenarios, supersymmetric grand unification, new aspects in low-energy supersymmetry and superstring phe-