Relational mathematics is to operations research and informatics what numerical mathematics is to engineering: it is intended to help modelling, reasoning, and computing. Its applications are therefore diverse, ranging from psychology, linguistics, decision aid, and ranking to machine learning and spatial reasoning. Although many developments have been made in recent years, they have rarely been shared amongst this broad community of researchers. This comprehensive 2010 overview begins with an easy introduction to the topic, assuming a minimum of prerequisites; but it is nevertheless theoretically sound and up to date. It is suitable for applied scientists, explaining all the necessary mathematics from scratch using a multitude of visualised examples, via matrices and graphs. It ends with tangible results on the research level. The author illustrates the theory and demonstrates practical tasks in operations research, social sciences and the humanities.
This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology. Although these objects mirror the matrices that appea
Relational methods can be found at various places incomputer science, notably in data base theory, relationalsemantics of concurrency, relationaltype theory, analysisof rewriting systems, and mod
This volume on a high-profile modern issue presents a sophisticated, integrated risk assessment approach to modeling the potential return of malaria to Germany, which could be triggered by the higher
The investigations refer to the development of plant phenology since the 1960s in Germany. Spatiotemporal trends were assessed by means of regression kriging. It could be shown that there already is a
