Abstract regular polytopes stand at the end of more than two millennia of geometrical research, which began with regular polygons and polyhedra. They are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties; in many ways more fascinating than traditional regular polytopes and tessellations. The rapid development of the subject in the past 20 years has resulted in a rich new theory, featuring an attractive interplay of mathematical areas, including geometry, combinatorics, group theory and topology. Abstract regular polytopes and their groups provide an appealing new approach to understanding geometric and combinatorial symmetry. This is the first comprehensive up-to-date account of the subject and its ramifications, and meets a critical need for such a text, because no book has been published in this area of classical and modern discrete geometry since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974). The book should be of interest to researchers and graduate students in discrete geometry, combinatorics and group theory.
This book uses a variety of applications to illustrate a modeling method that helps practitioners to manage complex software-intensive systems. The proposed method relies on the combination of its abstraction concept and its operational character, with behavioral models in the precise and simple form of Abstract State Machines (ASMs). The book introduces both the modeling method (Part I) and the available tool support (Part II): In Part I the authors detail (using numerous examples) how to construct, explain, debug, explore, extend and reuse accurate system design models, starting from scratch. Only an elementary knowledge of common mathematical (including set-theoretic) notation and some basic experience with computational processes (systems, programs, algorithms) is assumed. Part II then shows how the modeling method can be supported by implementing tools that make design models executable and debuggable. To illustrate how to build, debug and maintain systems and to explain their construction in a checkable manner, a general, problem-oriented refinement method is adopted to construct system models from components. The method starts with abstract models and refines them step by step, incrementally adding further details that eventually lead to code. Intended for practitioners who build software intensive systems, and students specializing in software engineering, it can be used both for self-study and for teaching, and it can serve as a reference book. Exercises are included to help readers check their understanding of the explained concepts. For many models defined in the book, refinements to executable versions can be downloaded for experimental validation from the book’s website at http://modelingbook.informatik.uni-ulm.de
Activities performed in organizations are coordinated via communication between the people involved. The sentences used to communicate are naturally structured by subject, verb, and object. The subject describes the actor, the verb the action and the object what is affected by the action. Subject-oriented Business Process Management (S-BPM) as presented in this book is based on this simple structure which enables process-oriented thinking and process modeling. S-BPM puts the subject of a process at the center of attention and thus deals with business processes and their organizational environment from a new perspective, meeting organizational requirements in a much better way than traditional approaches. Subjects represent agents of an action in a process, which can be either technical or human (e.g. a thread in an IT system or a clerk). A process structures the actions of each subject and coordinates the required communication among the subjects. S-BPM provides a coherent procedural framework to model and analyze business processes: its focus is the cooperation of all stakeholders involved in the strategic, tactical, and operational issues, sharing their knowledge in a networked structure. The authors illustrate how each modeling activity through the whole development lifecycle can be supported through the use of appropriate software tools. The presentation style focuses on professionals in industry, and on students specializing in process management or organizational modeling. Each chapter begins with a summary of key findings and is full of examples, hints, and possible pitfalls. An interpreter model, a toolbox, and a glossary summarizing the main terms complete the book. The web site www.i2pm.net provides additional software tools and further material.
The origin of this book goes back to the Dagstuhl seminar on Logic for System Engineering, organized during the first week of March 1997 by S. Jiihnichen, J. Loeckx, and M. Wirsing. During that seminar, after Egon Borger's talk on How to Use Abstract State Machines in Software Engineering, Wolfram Schulte, at the time a research assistant at the University of Ulm, Germany, questioned whether ASMs provide anything special as a scientifically well founded and rigorous yet simple and industrially viable framework for high level design and analysis of complex systems, and for natural refinements of models to executable code. Wolfram Schulte argued, referring to his work with K. Achatz on A Formal Object-Oriented Method Inspired by Fusion and Object-Z [1], that with current techniques of functional programming and of axiomatic specification, one can achieve the same result. An intensive and long debate arose from this discussion. At the end of the week, it led Egon Borger to propose a collaboration on a real-life specification project of Wolfram Schulte's choice, as a comparative field test of purely functional declarative methods and of their enhancement within an integrated abstract state-based operational (ASM) approach. After some hesitation, in May 1997 Wolfram Schulte accepted the offer and chose as the theme a high-level specification of Java and of the Java Virtual Machine.
The central purpose of this book is to impart knowledge, skills and practical - plementation methods for the planning and operation of adaptable production - cilities and factories. It addresses planning methods and procedures for various types of production facility up to and including entire factories, and is aimed at practicing factory planners and students alike. The book provides facts and demonstrates practical processes using case studies for the purposes of illustration, so that ultimately skills can be acquired that make independent practical implementation and app- cation possible. It is based on up-to-the-minute practical experience and univ- sally applicable knowledge of the planning and technological design of adaptable production facilities (manufacturing and assembly) and factories. In comparison to existing, thematically-similar reference books, what is in- vative about this manual is that it provides the impulse for a more flexible pl- ning approach for the efficient design of adaptable production facilities using - sponsive, unconventional planning and organizational solutions. The book aims to provide a way of integrating systematic and situation-driven planning methods in a meaningful way. Situation-driven planning is becoming increasingly important to production facilities in these fast-moving times of change, in particular in terms of resource and energy efficiency. Existing technical and organizational course of action in terms of resources (both human and technical) need to be selected for the specific case at hand, and changes (to workshops, products, processes and equ- ment) need to be managed.
Smith takes a provocative look at the fascinating and beautiful landscapes painted by Austrian artist Egon Schiele (1890-1918), renowned for his intensely confrontational portraits, self-portraits, erotic images, and allegories. 90 illustrations, 50 in color.
Abstract regular polytopes are highly symmetric combinatorial structures with distinctive geometric, algebraic or topological properties. This comprehensive up-to-date account of the subject meets a critical need for a text in this area; no book has been published in this topic since Coxeter's Regular Polytopes (1948) and Regular Complex Polytopes (1974).
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