CONTENTS WHY SHOULD MATHEMA'IICS PI-AY A ROLE IN PSYCHOLOGY? ............................ Structure. Pattern. and Process ........................................................................................... What Keeps Mathematical Psvchology . from Being an 0.xvmoron Y ................................... FOUR DISTINCTIONS .....................................................................

The construction and use of Suslin representations for sets of reals lies at the heart of descriptive set theory. Indeed, virtually every paper in descriptive set theory in the Cabal Seminar volumes deals with such representations in one way or another. Most of the papers in the section to follow focus on the construction of optimally definable Suslin representations via game-theoretic methods....

Modern epidemiology integrates knowledge from heterogeneous collections of data consisting of numerical, descriptive and imaging. Largescale epidemiological studies use sophisticated statistical analysis, mathematical models using differential equations and versatile analytic tools that handle numerical data. In contrast, knowledge extraction from images and descriptive information in the form ...

This study explores buyers’ search and purchase behavior in an information-overloaded retail Electronic Marketplace (EMP). Two instrumental variables, i.e. number of visitors and number of sales for an item, are used to represent buyers’ search and purchase behavior. Price and reputation, two of the most frequently researched independent variables in EMP studies, are considered. The relationshi...

This paper discusses the descriptional complexity of generalized forbidding grammars in context of degrees, numbers of nonterminals and conditional productions, and a new descriptional complexity measure—an index—of generalized forbidding grammars.

In recent years, several systems have been proposed that learn the rules of a simple card or board game solely from visual demonstration. These systems were constructed for specific games and rely on substantial background knowledge. We introduce a general system for learning board game rules from videos and demonstrate it on several well-known games. The presented algorithm requires only a few...

We investigate the descriptional complexity of limited propagating Lindenmayer systems and their deterministic and tabled variants with respect to the number of rules and the number of symbols. We determine the decrease of complexity when the generative capacity is increased. For incomparable families, we give languages that can be described more efficiently in either of these families than in ...

This position paper argues that the operational modelling approaches from the formal methods community can be applied fruitfully within the systems biology domain. The results can be complementary to the traditional mathematical descriptive modelling approaches used in systems biology. We discuss one example: a recent Petri net analysis of C. elegans vulval development.

In this paper, we review statistical techniques for the direct evaluation of descriptive phrases and introduce a new technique based on mutual information. In the experiments, we apply this technique to different types of frequent sequences, hereby finding mathematical justification of former empirical practice.