Constraint Theory: Multidimensional Mathematical Model Management

Author:   George Friedman
Publisher:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2005
Volume:   23
ISBN:  

9781441936264


Pages:   188
Publication Date:   06 December 2010
Replaced By:   9783319547916
Format:   Paperback
Availability:   In Print   Availability explained
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

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Constraint Theory: Multidimensional Mathematical Model Management


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Overview

The enormous potential of digital computation to manage new complex systems is impeded by exponential increases in complexity. As the model's dimensionality increases from hundreds to thousands of variables, and as submodels constructed by diverse technical teams are integrated into the total model, the model is likely to become inconsistent and even more likely, the computational requests on the model become unallowable. This text analyzes the way constraint theory employs bipartite graphs and constraint matrices to detect and correct these well-posed problems. It also presents the process of locating the ""kernel of constraint"", literally trillions of times faster than a random search, determining consistency and compatibility within seconds. This text is an invaluable reference to all engineers, mathematicians and managers concerned with modeling.

Full Product Details

Author:   George Friedman
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of hardcover 1st ed. 2005
Volume:   23
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.332kg
ISBN:  

9781441936264


ISBN 10:   1441936262
Pages:   188
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Replaced By:   9783319547916
Format:   Paperback
Publisher's Status:   Out of Print
Availability:   In Print   Availability explained
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

Table of Contents

Motivations: What is Constraint Theory and why is it important?- The Four-fold way: How to Perceive Complex Mathematical Models and Well-Posed Problems.- General Results: From Protomath to Math to Metamath.- Regular Relations: Searching for the Kernels of Constraint.- Discrete and Interval Relations: The Diminished Utility of Metamodels.- The Logical Structure of Constraint: Theory A Compact Summary.- Examples of Constraint Theory Applied to Real-World Problems.- Manager and Analyst Meet Again: Gists and Schizophrenia.

Reviews

Dr. George Friedman is indisputably the father of the very powerful methods of Constraint Theory. Indeed, in 1970 it received major commendation by the IEEE: Dr. Friedman's pioneering research was awarded the highly prestigious W.R.G. Baker prize as the most significant published research contribution among thousands of published research papers. This speaks volumes for Dr. Friedman's contribution. --Cornelius T. Leondes, UCLA Friedman's accomplishment represents engineering at its finest. The choice of subject matter must be honored by the experience gained in his many years of high-level service in the company now known as Northrop-Grumman. The credibility of the theory rests upon the formal proofs which are interspersed among the illuminating hypothetical dialog sequences between manager and analyst, which bring out distinctions that the organization must face, en route to accepting Friedman's work as essential to achieve quality control in developing and applying large models. --John N. Warfield


Dr. George Friedman is indisputably the father of the very powerful methods of Constraint Theory. Indeed, in 1970 it received major commendation by the IEEE: Dr. Friedman's pioneering research was awarded the highly prestigious W.R.G. Baker prize as the most significant published research contribution among thousands of published research papers. This speaks volumes for Dr. Friedman's contribution. --Cornelius T. Leondes, UCLA Friedman's accomplishment represents engineering at its finest. The choice of subject matter must be honored by the experience gained in his many years of high-level service in the company now known as Northrop-Grumman. The credibility of the theory rests upon the formal proofs which are interspersed among the illuminating hypothetical dialog sequences between manager and analyst, which bring out distinctions that the organization must face, en route to accepting Friedman's work as essential to achieve quality control in developing and applying large models. --John N. Warfield


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