This open access book contains the research report of the Collaborative Research Center "Micro Cold Forming" (SFB 747) of the University of Bremen, Germany. The topical research focus lies on new methods and processes for a mastered mass production of micro parts which are smaller than 1mm (by forming in batch size higher than one million). The target audience primarily comprises research experts and practitioners in production engineering, but the book may also be of interest to graduate students alike. This work was published by Saint Philip Street Press pursuant to a Creative Commons license permitting commercial use. All rights not granted by the work's license are retained by the author or authors.

In der 2. Auflage wird u.a. der Vorteil der Wavelet-Transformation gegenüber der gef. Fourier-Transformation deutlich herausgearbeitet. Die Konstruktionsprinzipien orthogonaler und biorthogonaler Wavelets werden durch Beispiele weitergehend erläutert. Zahlreiche Aufgaben erleichtern das Verständnis des Stoffes.

Big data and deep learning are modern buzz words which presently infiltrate all fields of science and technology. These new concepts are impressive in terms of the stunning results they achieve for a large variety of applications. However, the theoretical justification for their success is still very limited. In this snapshot, we highlight some of the very recent mathematical results that are the beginnings of a solid theoretical foundation for the subject.