A series of three articles presents an innovative way to build advanced functionally graded materials (FGM) based on polymer/ceramic (epoxy/SrTiO3) composites tailored by electrophoresis for field grading in power electronics. In Part 3, this method is applied the context modules DBC substrate encapsulation. An evaluation FGM performances reported electrostatic simulations and breakdown voltage...

let g = (v,e) be a locally finite graph, i.e. a graph in which every vertex has finitely many adjacent vertices. in this paper, we associate a topology to g, called graphic topology of g and we show that it is an alexandroff topology, i.e. a topology in which intersec- tion of every family of open sets is open. then we investigate some properties of this topology. our motivation is to give an e...

This paper is devoted to deformation theory of graded Lie algebras over Z or Zl with finite dimensional graded pieces. Such deformation problems naturally appear in number theory. In the first part of the paper, we use Schlessinger criteria for functors on Artinian local rings in order to obtain universal deformation rings for deformations of graded Lie algebras and their graded representations...

Given a locally finite graded set A and a commutative, associative operation on A that adds degrees, we construct a commutative multiplication ∗ on the set of noncommutative polynomials in A which we call a quasi-shuffle product; it can be viewed as a generalization of the shuffle product x. We extend this commutative algebra structure to a Hopf algebra (A, ∗,∆); in the case where A is the set ...

Note: This is a draft as of October 3, 2014 of a survey article now under review for the Companion to Semantics being prepared for Wiley by L. Matthewson, C. Meier, H. Rullmann, and E. Zimmermann. The intention is for the article to be engaging and accessible to students with 1 or 2 courses in formal semantics, so I’ve tried to keep it as non-technical and empiricallyoriented as possible. Sugge...