Given a lattice polytope Q ⊆ IR, we define an affine scheme M̄ that reflects the possibilities of splitting Q into a Minkowski sum. On the other hand, Q induces a toric Gorenstein singularity Y , and we construct a flat family over M̄ with Y as special fiber. In case Y has an isolated singularity only, this family is versal.

This article explores a Buddhist text in which numbers set the very stakes for liberation. In 1404, Ngor chen Kun dga’ bzang po (1382–1456), who was to become one of most esteemed tantric commentators Tibetan Sakya tradition, composed his first polemical text, Dispelling Evil Misunderstandings Explanation Ground Zung ‘jug Vajradhara. this early work, grapples with relationship between path perf...

This paper discusses the visual algebraic speciication (vas) formalism and its supporting interactive environment (vase). The vas formalism is intended for the deenition of visual syntax and semantics and is aimed at generating language speciic environments. The collection construct of vas is emphasized in that it supports the convenient speciication of language constructs involving arbitrarily...

With the growth of its popularity, VoIP is increasingly popular nowadays. Similarly to other Internet applications, VoIP users may desire to be unlinkable with their participated VoIP session records for privacy issues. In this paper, we explore the Items of Interests (IOIs) from anonymisation aspects based on a simplified VoIP model and analyse the potential links between them. We address poss...

We consider the problem of listing faces of the Minkowski sum of several V-polytopes in R. An algorithm for listing all faces of dimension up to j is presented, for any given 0 ≤ j ≤ d − 1. It runs in time polynomial in the sizes of input and output.

We develop and test a dual-route model of genetic effects on reading aloud and spelling, based on irregular and non-word reading and spelling performance assessed in 1382 monozygotic and dizygotic twins. As in earlier research, most of the variance in reading was due to genetic effects. However, there were three more specific conclusions: the first was that most of the genetic effect is common ...

AAA 2 1 Introduction

In this short note we give a characterization of the support map from classical convexity. We show it is the unique additive transformation from the class of closed convex sets in Rn which include 0 to the class of positive 1-homogeneous functions on Rn. This will be a consequence of a theorem about transforms from the class of convex sets to itself which preserve Minkowski addition. © 2009 Els...