In this article we give an overview of the Ellipsoid Method. We start with a historic introduction and provide a basic algorithm in Section 2. Techniques to avoid two important assumptions required by this algorithm are considered in Section 2.2. After the discussion of some implementation aspects, we are able to show the polynomial running time of the Ellipsoid Method. The second section is cl...

"This article attempts to give a broad overview of trends in family and household composition in Europe during the last few decades. The focus is on Western Europe. We look at the decreasing average size of the household and the family (section 2) and its demographic causes. The changing role of the traditional family is reviewed in section 3, while section 4 contains a discussion of non-tra...

In the previous chapter the work is done using one dimensional Poisson’s equation. The work is extended in order to develop better understanding aspects of the submicronic device to be used as PD. The chapter starts with discussion on the existing theoretical models and their limitations which stimulate to propose the new physics based 2D model. The chapter is divided into four sections. Sectio...

These notes continue the notes of Anand Pillay on model theory and diophantine geometry. In my lectures I describe a model theoretic approach to some analogues of the Mordell-Lang conjecture for Drinfeld modules. Many questions remain open and algebraic proofs along the lines of the proof of the Manin-Mumford conjecture described by Pillay may be possible. We discuss these questions and potenti...

This paper reviews many of the very varied concepts of uncertainty used in AI. Because of their great popularity and generality "parallel certainty inference" techniques, so-called, are prominently in the foreground. We illustrate and comment in detail on three of these techniques; Bayes' theory (section 2); Dempster-Shafer theory (section 3); Cohen's model of endorsements (section 4), and give...

The chapter addresses some issues on survey design and sample design for household budget surveys. The focus is on surveys in developing countries. Problems of measuring consumption and income are discussed in some detail in section II. Section III contains a discussion on some crucial sample design issues, e.g., stratification, sample allocation in space (geographical) and in time (over the fu...

The ubiquity of mobile computing devices has enabled communication and access to information and services at an unprecedented scale. Novel application domains and technological advances make the boundaries between mobile, ubiquitous, pervasive and autonomic systems fuzzy. To meet user demands, applications are likely to include facets of several types of systems. We therefore start this comment...

In this paper, we examine performance aspects of fat-tree topologies and compare these to k-ary ncube topologies. In particular, we apply the analytic techniques developed for cube topologies upon fat trees to understand better the characteristic of that topology. The organization of this paper is as follows: Section 1 contains an overview of k-ary n-cube and fat-tree topologies. Section 2 cont...

This is a self-study guide written to help graduate students and researchers at Hanyang University in Seoul, Korea, write for publication in English in biomedical and life sciences. Parts may be helpful to other non-native speaking scientists writing in English as well as other novice researchers. Any part may be freely distributed in electronic or print form for non-commercial, educational pur...

We begin by congratulating Professors Yu and Meng on an outstanding paper, and thanking Professor Levine for giving us the opportunity to discuss their work. Our discussion focuses mainly on the GIS & ASIS algorithms. Section 1 concerns the relationship between the GIS and sandwich algorithms. In Section 2, we consider a family of toy GIS algorithms based on the bivariate normal distribution, a...