Recent results in the foundations of probability theory indicate that a conditional probability can be viewed as a probability attached to a mathematical entity called a measure-f...
Directed Algebraic Topology is a recent field, deeply linked with Category Theory. A ‘directed space’ has directed homotopies (generally non reversible), directed homology gro...
tor. In order to capture different data models at a time, an abstract algebraic approach based on nested attributes is taken. The presence of the list constructor calls for a new i...
Sven Hartmann, Sebastian Link, Klaus-Dieter Schewe
Abstract. We present a general discussion of what constitutes a marketoriented approach to optimization. We demonstrate how a general framework can be used to conceptually improve ...
The fundamental aspects of ab-initio simulations of materials properties and of processes in materials based on density-functional theory, and their implementation at various leve...