Mathematical aspects of degressive proportionality

Mathematical aspects of degressive proportionality

We analyze mathematical properties of apportionment functions in the context of allocating seats in the European Parliament. Some exemplary families of such functions are specified and the corresponding allocations of seats among the Member States of the European Union are presented. We show that the constitutional constraints for the apportionment are so strong that the admissible functions le...

Utilitarianism, Degressive Proportionality and the Constitution of a Federal Assembly

Aspects of Mathematical Morphology

In this paper we review the basic concepts of integral-geometry-based morphological image analysis. This approach yields an objective, numerical characterization of twoand threedimensional patterns in terms of geometrical and topological descriptors called Minkowski functionals. We review its mathematical foundation and show that it is easy to put the theory into practice by presenting simple c...

Mathematical Aspects of Decoherence

The aim of this lecture is to investigate the mathematical frame for environment induced superselection rules. Some exactly soluble models are dicussed in detail and norm estimates on decoherence effects are derived.

Aspects of Mathematical Experience

notions have been important for the internal development of mathematics and for sophisticated applications in the sciences to organize our experience of the world. It seems to me to be absolutely crucial to gain insight into this dual role -to bring into harmony philosophical reflections on mathematics with those on the sciences.