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This book addresses the design of such tools for correct-by-construction synthesis of supervisors for systems and specifications represented in the discrete-event framework. The approach employed uses Petri nets as discrete-event models and structural methods for the synthesis of supervisors, and may lead to significant computational benefits. Highlighting recent progress in the design of supervisors by structural methods, the book represents a novel contribution to the field. One of the main features of the presentation is the demonstration that structural methods can address a variety of supervisor specifications under diverse supervision settings.

The topic of dynamic models tends to be splintered across various disciplines, making it difficult to uniformly study the subject. Moreover, the models have a variety of representations, from traditional mathematical notations to diagrammatic and immersive depictions. Collecting all of these expressions of dynamic models, the Handbook of Dynamic System Modeling explores a panoply of different types of modeling methods available for dynamical systems. Featuring an interdisciplinary, balanced approach, the handbook focuses on both generalized dynamic knowledge and specific models. It first introduces the general concepts, representations, and philosophy of dynamic models, followed by a section on modeling methodologies that explains how to portray designed models on a computer. After addressing scale, heterogeneity, and composition issues, the book covers specific model types that are often characterized by specific visual- or text-based grammars. It concludes with case studies that employ two well-known commercial packages to construct, simulate, and analyze dynamic models. A complete guide to the fundamentals, types, and applications of dynamic models, this handbook shows how systems function and are represented over time and space and illustrates how to select a particular model based on a specific area of interest.

An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades. This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis. The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives. In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

Previous works on industrial robots dealt with "programming" and "programming languages" only in passing; no comparison was made between characteristics of the individual programming lan guages. This book, therefore, gives a detailed account of industrial robot programming and its environment. Mter introducing basic concepts special attention is paid to the language constructs relevant to robot programming. The features of various elements of the languages ex amined are compared. The languages are based on the following concepts: SRL - high-level programming language based on AL with PASCAL elements (University of Karlsruhe, F. R G. ) PASRO - integrated into PASCAL, based on the geometrical data types of SRL (I. I. -BIOMATIC Informatics Institute, Freiburg, F. RG. ) AL - derived from the high-level programming language ALGOL (Stanford University, U. S. A. , and University of Karls ruhe, F. RG. ) AML - high-level programming language, influenced by PL/1 (IBM, U. S. A. ) VAL - language specifically developed for robots (Unimation, U. S. A. ) HELP - mixture of high-level language elements and robot l- guage elements and real-time processing (DEA, Italy) SIGLA - a simple machine language (Olivetti, Italy) ROBEX - based on NC programming (Technical College (RWTH), Aachen, F. RG. ) RAIL - high-level programming language for industrial robots with elements for graphic processing (Automatix, U. S. A. ) IRDATA - general software interface between programming and robot controller (Association of German Engineers (VDI), F. R G.

Algebraic Geometry has been at the center of much of mathematics for hundreds of years. It is not an easy field to break into, despite its humble beginnings in the study of circles, ellipses, hyperbolas, and parabolas. This text consists of a series of ex