The discovery of the Higgs boson has opened the door to the next phase of exploration in particle physics. Since the Higgs boson was found in July 2012 at CERN's Large Hadron Collider (LHC), many researches and experiments ...

A need has been expressed for an extensive set of problems which may be used as a supplement to the text and which can be used for both courses in statistics. It is the purpose of this study to develop such a set of ...

We provide an exposition of J. Milnor's proof of the h-Cobordism Theorem. This theorem states that a smooth, compact, simply connected n-dimensional manifold W with n greater than or equal to 6, whose boundary boundaryW ...

A cohomogeneity one manifold is a topological manifold with an effective topological action of a compact Lie group whose quotient is one dimensional. Cohomogeneity one manifolds were introduced by Mostert in 1957, however ...

The problem studied here focuses on a compact manifold M without boundary in which the Riemannian metric g is on Λ = M – {p1, p2,…,pκ}. Near the pi 's, g has a particular type of singularity in which locally M = (0, δ)x ...

We obtain new estimates of stability for continuation of solutions of elliptic inequali- ties | ∂u|2 < = a|u|2 from finite discrete sets. For this we use Hormander's type of Carleman estimates for ∂-bar with boundary ...

We propose a method of analyzing a crack in a three dimensional body. We treat the problem as an inverse problem and apply Green’s Theorem, Trace Theorem, and the Fredholm Alternative. We model the problem using Helmholtz ...

This thesis, a mainly expository work, attempts to give all the calculational details for some popular models in scalar quantum eld theory that serve a mostly pedagogical purpose. Starting with a real scalar eld with ...

This treatise is concerned principally with the fundamental properties of matrices, the basic operations which may be performed with them, and some of their applications to algebra, analytic geometry, and differential ...