Interactions between units in phyical, biological, technological, and social systems usually give rise to intrincate networks with non-trivial structure, which critically affects the dynamics and properties of the system. The focus of most current research on complex networks is on global network properties. A caveat of this approach is that the relevance of global properties hinges on the prem...

0. Introduction 2 1. Main results 3 1.1. Semisimple groups 3 1.2. Factorization problem 4 1.3. Total positivity 5 1.4. Generalized minors 5 1.5. The twist maps 6 1.6. Formulas for factorization parameters 7 1.7. Total positivity criteria 8 1.8. Fundamental determinantal identities 9 2. Preliminaries 10 2.1. Involutions 10 2.2. Commutation relations 10 2.3. Generalized determinantal identities 1...

Spread Spectrum technology is being applied to many areas of modern communications such as Cellular Telephones, Global Positioning Satellite (GPS), and Very Small Aperture Satellite Terminals (VSATS) just to name a few. The core concept behind this technology involves spreading the data to be transmitted over a much broader spectrum than what is conventionally done. The spreading is usually ach...

Given a finite dimensional algebra A of finite global dimension, we consider the trivial extension of A by the A − A-bimodule ⊕i≥2 Ext 2 A(DA,A), which we call the higher relation bimodule. We first give a recipe allowing to construct the quiver of this trivial extension in case A is a string algebra and then apply it to prove that, if A is gentle, then the tensor algebra of the higher relation...

This study tested the hypothesis that classroom teaching behavior mediates the relation typically found between personality and college teaching effectiveness. Colleagues rated 37 full-time college instructors on 29 personality traits, and trained observers assessed the frequency with which the same instructors exhibited 95 specific classroom teaching behaviors. Instructional effectiveness was ...

Anesthetics modify regional left ventricular (LV) dysfunction following ischemia/reperfusion but their effects on global function in this setting are less clear. Aim of this study was to test the hypothesis that xenon would limit global LV dysfunction as caused by acute anterior wall ischemia, comparable to ischemic preconditioning. In an open-chest model under thiopental anesthesia, 30 pigs un...

We will briefly describe the recently implemented hyperset approach to semi-structured or Web-like and possibly distributed databases with the query system available online at http://www.csc. liv.ac.uk/~molyneux/t/. As this approach is crucially based on the bisimulation relation, the main stress in this paper is on its computation in the distributed case by using a so called bisimulation engin...

This paper explores the use of entropy for visualizing database structure. In particular, we show how visualizing the entropy of a relation provides a global perspective on the distribution of values and helps to identify areas within the relation where interesting relationships may be discovered. The type of structure we are interested in discovering is related to functional dependencies. Our ...

Given a finite dimensional algebra C (over an algebraically closed field) of global dimension at most two, we define its relation-extension algebra to be the trivial extension C ⋉ Ext 2 C (DC, C) of C by the CC -bimodule Ext 2 C (DC, C). We give a construction for the quiver of the relation-extension algebra in case the quiver of C has no oriented cycles. Our main result says that an algebrã C ...

This paper develops a minimally supervised approach, based on focused distributional similarity methods and discourse connectives, for identifying of causality relations between events in context. While it has been shown that distributional similarity can help identifying causality, we observe that discourse connectives and the particular discourse relation they evoke in context provide additio...