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The study of structures is a common concern of all scientific disciplines. The motivation as well as the methods of analysis, however, differ considerably. In engineering, the generation of artifacts, of infrastructures or technological processes are of primary interest. Frequently, the analysis aims at an optimization of the structures and the structure generating processes. Quite different is the study and explanation of existing structures in biology and the social sciences. Here the question of optimality does not present itself in an unambiguous manner. Generally, it must be questioned whether biological and social structures, although developing in an evolutionary way, can be considered as leading towards an a-priori defineable goal of optimality. The complex scenario of qualitative and quantitative modeling, and the goal-oriented and statistical approaches to understanding the meliorisation efforts in the various fields of the sciences and humanities define the scope of this book. Its intention is to create trans-disciplinary insights into methods to fecundate the custom disciplinary approaches.