Advances In Geometric Programming
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Advances In Geometric Programming
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Author : Mordecai Avriel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Advances In Geometric Programming written by Mordecai Avriel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
In 1961, C. Zener, then Director of Science at Westinghouse Corpora tion, and a member of the U. S. National Academy of Sciences who has made important contributions to physics and engineering, published a short article in the Proceedings of the National Academy of Sciences entitled" A Mathe matical Aid in Optimizing Engineering Design. " In this article Zener considered the problem of finding an optimal engineering design that can often be expressed as the problem of minimizing a numerical cost function, termed a "generalized polynomial," consisting of a sum of terms, where each term is a product of a positive constant and the design variables, raised to arbitrary powers. He observed that if the number of terms exceeds the number of variables by one, the optimal values of the design variables can be easily found by solving a set of linear equations. Furthermore, certain invariances of the relative contribution of each term to the total cost can be deduced. The mathematical intricacies in Zener's method soon raised the curiosity of R. J. Duffin, the distinguished mathematician from Carnegie Mellon University who joined forces with Zener in laying the rigorous mathematical foundations of optimizing generalized polynomials. Interes tingly, the investigation of optimality conditions and properties of the optimal solutions in such problems were carried out by Duffin and Zener with the aid of inequalities, rather than the more common approach of the Kuhn-Tucker theory.
Geometric Programming For Communication Systems
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Author : Mung Chiang
language : en
Publisher: Now Publishers Inc
Release Date : 2005
Geometric Programming For Communication Systems written by Mung Chiang and has been published by Now Publishers Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
Recently Geometric Programming has been applied to study a variety of problems in the analysis and design of communication systems from information theory and queuing theory to signal processing and network protocols. Geometric Programming for Communication Systems begins its comprehensive treatment of the subject by providing an in-depth tutorial on the theory, algorithms, and modeling methods of Geometric Programming. It then gives a systematic survey of the applications of Geometric Programming to the study of communication systems. It collects in one place various published results in this area, which are currently scattered in several books and many research papers, as well as to date unpublished results. Geometric Programming for Communication Systems is intended for researchers and students who wish to have a comprehensive starting point for understanding the theory and applications of geometric programming in communication systems.
Geometric Programming For Computer Aided Design
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Author : Alberto Paoluzzi
language : en
Publisher: John Wiley & Sons
Release Date : 2018-01-30
Geometric Programming For Computer Aided Design written by Alberto Paoluzzi and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-30 with Computers categories.
Geometric Programming is currently of interest in CAD (Computer Aided Design) and related areas such as computer graphics, modeling and animation, scientific simulation and robotics. A growing interest towards gemotric programming is forecast in the next few years with respect to market specific CAD applications (e.g. for architecture and mechanical CAD) and web-based collaborative design environments. PLaSM is a general purpose functional language to compute with geometry which the authors use throughout their text. The PLaSM language output produces VRML (Virtual Reality Modelling Language) files which are used to create virtual worlds. PLaSM blends the powerful algebraic approach to programming developed at IBM research, with a dimension-independent approach to geometric data structures and algorithms, This book shows that such geometric code can be surprisingly compact and easy to write. It begins by introducing the basic programming with PLaSM and algebraic and geometric foundations of shape modeling, the foundations of computer graphics, solid modeling and geometric modeling of manifolds follows and finally discusses the application of geometric programming. For each topic, the mathematics is given, together with the PLaSM implementation (usually with a few lines of readable code) and some worked examples. Combines excellent coverage of the theory with well-developed examples Numerous applications eg. scientific stimulation, robotics, CAD, Virtual Reality Worked exercises for each topic Uses PLaSM language (supplied) throughout to illustrate techniques Supported with web presence Written for Industrial Practioners developing CAD software, mechanical engineers in Graphics, CAD and CAM, undergraduate and postgraduate courses in Computer Science and Mechanical Engineering,as well as programmers involved with developing visualization software.
Geometric Algebra For Computer Science
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Author : Leo Dorst
language : en
Publisher: Elsevier
Release Date : 2010-07-26
Geometric Algebra For Computer Science written by Leo Dorst and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-26 with Computers categories.
Until recently, almost all of the interactions between objects in virtual 3D worlds have been based on calculations performed using linear algebra. Linear algebra relies heavily on coordinates, however, which can make many geometric programming tasks very specific and complex-often a lot of effort is required to bring about even modest performance enhancements. Although linear algebra is an efficient way to specify low-level computations, it is not a suitable high-level language for geometric programming. Geometric Algebra for Computer Science presents a compelling alternative to the limitations of linear algebra. Geometric algebra, or GA, is a compact, time-effective, and performance-enhancing way to represent the geometry of 3D objects in computer programs. In this book you will find an introduction to GA that will give you a strong grasp of its relationship to linear algebra and its significance for your work. You will learn how to use GA to represent objects and perform geometric operations on them. And you will begin mastering proven techniques for making GA an integral part of your applications in a way that simplifies your code without slowing it down. * The first book on Geometric Algebra for programmers in computer graphics and entertainment computing* Written by leaders in the field providing essential information on this new technique for 3D graphics* This full colour book includes a website with GAViewer, a program to experiment with GA
Handbook Of Geometric Programming Using Open Geometry Gl
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Author : Georg Glaeser
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-28
Handbook Of Geometric Programming Using Open Geometry Gl written by Georg Glaeser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-28 with Computers categories.
Overview At the beginning of 1999, Springer-Verlag published the book Open Geo- try OpenGL +Advanced Geometry. There, the authors Georg Glaeser and Hellmuth Stachel presented a comprehensive library of geometric me- odsbasedonOpenGLroutines.AnaccompanyingCD-ROMprovidedthesource code and many sample ?les. Many diverse topics are covered in this book. The theoretical background is carefully explained, and many examples are given. Since the publication of Open Geometry, the source code has been improved andmanyadditionalfeatureshavebeenaddedtotheprogram.Contributorsfrom allovertheworldhavecomeupupwithnewideas,questions,andproblems.This process has continued up to the present and Open Geometry is growing from daytoday. In order to make all of these improvements accessible to the public, and also in order to give deeper insight into Open Geometry, we decided to write this new Handbook on Open Geometry GL 2.0. It will ?ll certain gaps ofOpen Geometry 1.0 and explain new methods, techniques, and examples. On the accompanying CD-ROM the new source code and the sample ?les are included. The Handbook now contains 101 well-documented examples and the reader is able to learn about Open Geometry by working through them. In addition, we present a compendium of all important Open Geometry classes and their methods. vi Preface However, we did not intend to write a new tutorial for Open Geometry. The Handbook is rather a sequel, written for the readers of the ?rst book and for advancedprogrammers.Furthermore,itisasourceofcreativeandgoodexamples from diverse ?elds of geometry, computer graphics, and many other related ?elds like physics, mathematics, astronomy, biology, and geography.
Engineering Optimization
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Author : Singiresu S. Rao
language : en
Publisher: John Wiley & Sons
Release Date : 2009-07-20
Engineering Optimization written by Singiresu S. Rao and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-20 with Mathematics categories.
Technology/Engineering/Mechanical Helps you move from theory to optimizing engineering systems in almost any industry Now in its Fourth Edition, Professor Singiresu Rao's acclaimed text Engineering Optimization enables readers to quickly master and apply all the important optimization methods in use today across a broad range of industries. Covering both the latest and classical optimization methods, the text starts off with the basics and then progressively builds to advanced principles and applications. This comprehensive text covers nonlinear, linear, geometric, dynamic, and stochastic programming techniques as well as more specialized methods such as multiobjective, genetic algorithms, simulated annealing, neural networks, particle swarm optimization, ant colony optimization, and fuzzy optimization. Each method is presented in clear, straightforward language, making even the more sophisticated techniques easy to grasp. Moreover, the author provides: Case examples that show how each method is applied to solve real-world problems across a variety of industries Review questions and problems at the end of each chapter to engage readers in applying their newfound skills and knowledge Examples that demonstrate the use of MATLAB® for the solution of different types of practical optimization problems References and bibliography at the end of each chapter for exploring topics in greater depth Answers to Review Questions available on the author's Web site to help readers to test their understanding of the basic concepts With its emphasis on problem-solving and applications, Engineering Optimization is ideal for upper-level undergraduates and graduate students in mechanical, civil, electrical, chemical, and aerospace engineering. In addition, the text helps practicing engineers in almost any industry design improved, more efficient systems at less cost.
Open Geometry Opengl Advanced Geometry
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Author : Georg Glaeser
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Open Geometry Opengl Advanced Geometry written by Georg Glaeser and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
This book is about graphics programming based on OPENGL. The program ming language is C++. The programs will run under various operating systems, among them WINDOWS 9x, ALPHA-STATIONS (Digital workstations) and SILI CON GRAPHICS workstations. Hardware is used if accessible. The book provides a graphics library. This library is based on OPENGL and expands the elemen tary routines. Thus, the reader is enabled to realize direct geometrical thinking without having to care much about implementation. The enclosed modules provide the reader with solutions for: • The most common intersection problems and measuring tasks of both pla nar and spatial geometry. • The creation ofarbitrary geometric objects, e.g., by means ofdifferent kinds of "sweeping." • The creation of the most general solids by means of Boolean operations (intersection, union, and complements of solid polyhedra). The book presents: • A well documented, versatile, and robust geometry library. The reader can use it very easily and expand it in any way he/she likes. vi Preface • A programming course that provides a deeper insight into object-oriented thinking and programming.It contains an introduction to C++ (for begin ners and intermediate programmers) that is influenced by the experience gained from thousands of programming hours (which may even be useful to experienced programmers).
Semidefinite Optimization And Convex Algebraic Geometry
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Author : Grigoriy Blekherman
language : en
Publisher: SIAM
Release Date : 2013-03-21
Semidefinite Optimization And Convex Algebraic Geometry written by Grigoriy Blekherman and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-21 with Mathematics categories.
An accessible introduction to convex algebraic geometry and semidefinite optimization. For graduate students and researchers in mathematics and computer science.
Fuzzy Information And Engineering 2019
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Author : Bing-yuan Cao
language : en
Publisher: Springer Nature
Release Date : 2020-05-16
Fuzzy Information And Engineering 2019 written by Bing-yuan Cao and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-16 with Technology & Engineering categories.
This book includes 70 selected papers from the Ninth International Conference on Fuzzy Information and Engineering (ICFIE) Satellite, which was held on December 26–30, 2018; and from the 9th International Conference on Fuzzy Information and Engineering (ICFIAE), which was held on February 13–15, 2019. The two conferences presented the latest research in the areas of fuzzy information and engineering, operational research and management, and their applications.
Convex Optimization
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Author : Stephen P. Boyd
language : en
Publisher: Cambridge University Press
Release Date : 2004-03-08
Convex Optimization written by Stephen P. Boyd and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-03-08 with Business & Economics categories.
Convex optimization problems arise frequently in many different fields. This book provides a comprehensive introduction to the subject, and shows in detail how such problems can be solved numerically with great efficiency. The book begins with the basic elements of convex sets and functions, and then describes various classes of convex optimization problems. Duality and approximation techniques are then covered, as are statistical estimation techniques. Various geometrical problems are then presented, and there is detailed discussion of unconstrained and constrained minimization problems, and interior-point methods. The focus of the book is on recognizing convex optimization problems and then finding the most appropriate technique for solving them. It contains many worked examples and homework exercises and will appeal to students, researchers and practitioners in fields such as engineering, computer science, mathematics, statistics, finance and economics.