LEADER 04776nam 22006375 450 001 9910254305203321 005 20200701154839.0 010 $a3-319-54792-5 024 7 $a10.1007/978-3-319-54792-3 035 $a(CKB)3710000001631048 035 $a(MiAaPQ)EBC4938543 035 $a(DE-He213)978-3-319-54792-3 035 $a(PPN)203850947 035 $a(EXLCZ)993710000001631048 100 $a20170803d2017 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aConstraint Theory $eMultidimensional Mathematical Model Management /$fby George J. Friedman, Phan Phan 205 $a2nd ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (219 pages) $cillustrations, tables 225 1 $aIFSR International Series in Systems Science and Systems Engineering,$x1574-0463 ;$v23 311 $a3-319-54791-7 320 $aIncludes bibliographical references and index. 327 $aChapter 1, Motivations: What is Constraint Theory and why is it important? -- Chapter 2, The Four-Fold Way: How to Perceive Complex Mathematical Models and Well-Posed Problems -- Chapter 3, General Results: From Protomath to Math to Metamath -- Chapter 4, Regular Relations: Searching for the Kernels of Constraint -- Chapter 5, Model Consistency and Computational Allowability -- Chapter 6, Discrete and Interval Relations: The Diminished Utility of Metamodels -- Chapter 7, The Logical Structure of Constraint Theory: A Compact Summary -- Chapter 8, Examples of Constraint Theory Applied to Real-World Problems -- Chapter 9, Manager and Analyst Meet Again: Gists and Schizophrenia -- Appendices. 330 $aPacked with new material and research, this second edition of George Friedman?s bestselling Constraint Theory remains an invaluable reference for all engineers, mathematicians, and managers concerned with modeling. As in the first edition, this text analyzes the way Constraint Theory employs bipartite graphs and presents the process of locating the ?kernel of constraint? trillions of times faster than brute-force approaches, determining model consistency and computational allowability. Unique in its abundance of topological pictures of the material, this book balances left- and right-brain perceptions to provide a thorough explanation of multidimensional mathematical models. Much of the extended material in this new edition also comes from Phan Phan?s PhD dissertation in 2011, titled ?Expanding Constraint Theory to Determine Well-Posedness of Large Mathematical Models.? Praise for the first edition: "Dr. George Friedman is indisputably the father of the very powerful methods of constraint theory." --Cornelius T. Leondes, UCLA "Groundbreaking work. ... Friedman's accomplishment represents engineering at its finest. ... The credibility of the theory rests upon the formal proofs which are interspersed among the illuminating hypothetical dialog sequences between manager and analyst, which bring out distinctions that the organization must face, en route to accepting Friedman's work as essential to achieve quality control in developing and applying large models." --John N. Warfield. 410 0$aIFSR International Series in Systems Science and Systems Engineering,$x1574-0463 ;$v23 606 $aMathematical models 606 $aComputational intelligence 606 $aComputer science?Mathematics 606 $aArtificial intelligence 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aComputational Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/T11014 606 $aMathematics of Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/I17001 606 $aArtificial Intelligence$3https://scigraph.springernature.com/ontologies/product-market-codes/I21000 615 0$aMathematical models. 615 0$aComputational intelligence. 615 0$aComputer science?Mathematics. 615 0$aArtificial intelligence. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aComputational Intelligence. 615 24$aMathematics of Computing. 615 24$aArtificial Intelligence. 676 $a620.0011 700 $aFriedman$b George J$4aut$4http://id.loc.gov/vocabulary/relators/aut$0766780 702 $aPhan$b Phan$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254305203321 996 $aConstraint Theory$92018989 997 $aUNINA