Constraint Theory: Multidimensional Mathematical Model Management: IFSR International Series in Systems Science and Systems Engineering, cartea 23
Autor George Friedmanen Limba Engleză Hardback – 7 apr 2005
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Specificații
ISBN-13: 9780387234182
ISBN-10: 0387234187
Pagini: 188
Ilustrații: XXII, 188 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.48 kg
Ediția:2005
Editura: Springer Us
Colecția Springer
Seria IFSR International Series in Systems Science and Systems Engineering
Locul publicării:New York, NY, United States
ISBN-10: 0387234187
Pagini: 188
Ilustrații: XXII, 188 p.
Dimensiuni: 155 x 235 x 13 mm
Greutate: 0.48 kg
Ediția:2005
Editura: Springer Us
Colecția Springer
Seria IFSR International Series in Systems Science and Systems Engineering
Locul publicării:New York, NY, United States
Public țintă
ResearchCuprins
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.
Recenzii
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
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
Textul de pe ultima copertă
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 for all engineers, mathematicians and managers concerned with modeling.
"Dr. George Friedman is indisputably the father of the very powerful methods of constraint theory." --Cornelius T. Leondes, UCLA
"Groundbreaking work. ... Friedman's accomplishment represents engineering at its finest. ... 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." --Cornelius T. Leondes, UCLA
"Groundbreaking work. ... Friedman's accomplishment represents engineering at its finest. ... 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
Caracteristici
Provides a practical and rigorous set of processes to manage problems of model consistency and computational allowability in the construction and use of multidimensional math models