In this paper we describe a quantitative relation between the e ciency of dialogue control strategies, we measure by the average number of exchanges taken during a dialogue, and the performance of a speech recognition system used in a spoken dialogue system. We consider four dialogue control strategies: (1) direct con rmation, (2) indirect con rmation, (3) multiple item answer followed by direc...

The mathematical model proposed by George Soros for his theory of reflexivity is analyzed under the framework of discrete dynamical systems. We show the importance of the notion of fixed points for explaining the behavior of a reflexive system governed by its cog-nitive and manipulative functions. The interrelationship between these two functions induces fixed points with different characterist...

We review existing approaches to mathematical modeling and analysis of multi-agent systems in which complex collective behavior arises out of local interactions between many simple agents. Though the behavior of an individual agent can be considered to be stochastic and unpredictable, the collective behavior of such systems can have a simple probabilistic description. We show that a class of ma...

Assume that n persons communicate via a channel; to each person a certain number is attached, and the goal is to see the numbers of all persons, e. g. in order to sort them. In this paper three algorithms to achieve this are analyzed with respect to the average number of rounds. While a precise description of the algorithmic aspects can be found in the companion paper [14], we concentrate here ...

Modeling the dynamic behavior of signal transduction pathways is an important topic in systems biology. Mathematical models complement experimental technologies used to identify the molecular components and interactions in a system of interest. In this paper, we illustrate different types of mathematical approaches that are used to model signaling network behavior. Here, we review the basic met...

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i Dedication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ii Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v 1 Mathematical Theory . . . . . . . . . . . . . . . . . . . . ...

This chapter surveys mathematical methods and principal results in the mechanics of fracture. Primary emphasis is placed on the analysis of crack extension as treated through methods of conti~uum mechanics. Section II begins 191

In this paper, we have used the mathematical analysis to make a best linear model of the receptors of the survival proteins i.e. Epidermal growth factor (EGF) and Insulin using ten concentrations combinations. The model was made using different types of regression analysis in which regression coefficient (r), adjusted regression coefficient (radj),PRESS, regression coefficient, cross validation...

Abstract— Mobility and portability are the major advantages that IEEE 802.11 wireless networks offer over their traditional counterparts, i.e. wired Ethernet networks. However, when nodes are mobile or portable units, power consumption becomes a primary issue since terminals are usually battery driven. In this paper we propose an analytical framework to investigate the energetic cost of communi...

In air traffic management, conflict prevention information refers to the guidance maneuvers, which if taken, ensure that an aircraft’s path is conflict-free. These guidance maneuvers take the form of changes to track angle or ground speed. Conflict prevention information may be assembled into prevention bands that advise the crew on maneuvers that should not be taken. Unlike conflict resolution...