Operator Representations on Quantum Spaces

In this article we present explicit formulae for q-differentiation on quantum spaces which could be of particular importance in physics, i.e., q-deformed Minkowski space and q-deformed Euclidean space in three or four dimensions. The calculations are based on the covariant differential calculus of these quantum spaces. Furthermore, our formulae can be regarded as a generalization of Jackson's q-derivative to three and four dimensions.Comment: 34 pages, Latex, major modifications to improve clarity, corrected typo

q-Integration on Quantum Spaces

In this article we present formulae for q-integration on quantum spaces which could be of particular importance in physics, i.e. q-deformed Minkowski space and q-deformed Euclidean space in 3 or 4 dimensions. Furthermore, our formulae can be regarded as a generalization of Jackson's q-integral to 3 and 4 dimensions and provide a new possibility for an integration over the whole space being invariant under translations and rotations.Comment: 38 pages, Latex, corrected typos, major modifications to improve clarit

Pilot Projects

During the WISE project two industrial level wireless services were developed; an online trading system and a multiplayer interactive role game. The experience from these projects is the foundation of all the material presented in the previous chapters. This chapter briefly presents the case studies and how the guidelines presented in the previous chapters were applied in their development. For each project the process used, the technology, the architecture and a baseline of process and product measures are described. The sample projects are presented as a comprehensive example of how all the techniques and methods presented in the book fit together