000 03743nam a22004815i 4500
001 978-0-387-27650-2
003 DE-He213
005 20250710083939.0
007 cr nn 008mamaa
008 100301s2005 xxu| s |||| 0|eng d
020 _a9780387276502
_a99780387276502
024 7 _a10.1007/0-387-27650-5
_2doi
082 0 4 _a519
_223
100 1 _aFriedman, George J.
_eauthor.
245 1 0 _aConstraint Theory
_h[recurso electrónico] :
_bMultidimensional Mathematical Model Management /
_cby George J. Friedman.
264 1 _aBoston, MA :
_bSpringer US,
_c2005.
300 _aXXII, 194 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aIfsr International Series on Systems Science and Engineering,
_x1574-0463 ;
_v23
505 0 _aMotivations: 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.
520 _aThe 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
650 0 _aENGINEERING.
650 0 _aCOMPUTER SCIENCE.
650 0 _aELECTRONIC DATA PROCESSING.
650 0 _aENGINEERING MATHEMATICS.
650 1 4 _aENGINEERING.
650 2 4 _aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
650 2 4 _aMATHEMATICAL MODELING AND INDUSTRIAL MATHEMATICS.
650 2 4 _aCOMPUTATIONAL INTELLIGENCE.
650 2 4 _aMATHEMATICS OF COMPUTING.
650 2 4 _aCOMPUTING METHODOLOGIES.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387234182
830 0 _aIfsr International Series on Systems Science and Engineering,
_x1574-0463 ;
_v23
856 4 0 _uhttp://dx.doi.org/10.1007/0-387-27650-5
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-ENG
942 _2ddc
_cER
999 _c56722
_d56722