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Max Plus at Work
Trains pull into a railroad station and must wait for each other before leaving again in order to let passengers change trains. How do mathematicians then calculate a railroad timetable that accurately reflects their comings and goings? One approach is to use max-plus algebra, a framework used to model Discrete Event Systems, which are well suited to describe the ordering and timing of events. This is the first textbook on max-plus algebra, providing a concise and self-contained introduction to the topic. Applications of max-plus algebra abound in the world around us. Traffic systems, computer communication systems, production lines, and flows in networks are all based on discrete even syste...
Control Theoretic Splines
Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from the latest methods and applications to show how they arise naturally in the theory of linear control systems. Magnus Egerstedt and Clyde Martin are leading innovators in the use of control theoretic splines to bring together many diverse applications within a common framework. In this book, they begin with a series of problems ranging from path planning to statistics to approximation. Using the tools of optimization over vector spaces, Egerstedt and Martin demonstrate how all of these proble...
Judgement and Salvation
This volume deals with the redaction history of the Book of Micah vis-à-vis the alternation of the oracles of judgement and the oracles of salvation in chapters 2-5. The first part of the book offers a brief discussion of the most important hypotheses to account for the alternation of doom and hope that have been put forward over the last three or four decades: the composition model, the dialogue model and the redaction-historical model. The second part of the book offers a detailed study of the text of Micah 2-5 followed by a thorough analysis of the form and literary development of the individual pericopes. The study is concluded by a fresh presentation of the redaction history of the Book of Micah.
The Knickerbocker
The Netherlands magazine.
