Constraint (mathematics)

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Topic: Constraint (mathematics)

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	Constraint - Wikipedia, the free encyclopedia
		In mathematics, a constraint is a restriction of the feasible solutions in an optimization problem.
		In the theory of constraints, it is any factor that limits the performance of a system with respect to its goal.
		The concept of constraint is the basis for Goldratt's process of focused improvement.
	en.wikipedia.org /wiki/Constraint (275 words)

	CP2002 Home page
		Papers are solicited from any of the disciplines concerned with constraints, including: artificial intelligence, combinatorial algorithms, computational logic, concurrent computation, databases, discrete mathematics, engineering, operations research, programming languages, symbolic computation.
		The purpose of this programme is to report successful applications of constraint technology, so as to attract potential users and researchers to this technology.
		The Innovative Applications track is a forum for practitioners and end users of constraint technology, and an interface between them and researchers in constraints.
	www.cs.cornell.edu /cp2002 (1131 words)

	Interval Mathematics
		Interval mathematics was originally developed to account for the limited precision of machine arithmetic [20], but it has since been adapted for use in global optimization [10, 11], circuit analysis [14], CAD modeling [22], constraint propagation [7], and constrained-logic programming [21, 15, 4].
		Interval mathematics [20, 11] is a sufficient mechanism since it represents continuous ranges of values but still preserves the property of Equation 1.
		result is obtained due to a problem with nondistributivity in interval mathematics called the dependency problem.
	www.ececs.uc.edu /~ddel/projects/pdl/papers/wbradley/chdl9508/node4.html (407 words)

	CP2005 Home page
		Papers are solicited from any of the disciplines concerned with constraints, including: artificial intelligence, combinatorial algorithms, computational logic, concurrent computation, databases, discrete mathematics, engineering, operations research, programming languages, symbolic computation.
		CP 2005 is organized by the Association for Constraint Programming (ACP), in collaboration with the Artificial Intelligence Research Institute of the Spanish Council for Scientific Research (IIIA-CSIC) and the Technical University of Catalonia (UPC).
		CP 2005 includes a technical program, where presentations of theoretical and application papers, as well as invited talks and tutorials, aim at describing the best results and techniques in the state-of-the-art of constraint programming.
	www.iiia.csic.es /cp2005 (2189 words)

	Category:Combinatorics - Wikipedia, the free encyclopedia
		Combinatorics is a branch of mathematics that studies finite collections of objects that satisfy specified criteria, and is in particular concerned with "counting" the objects in those collections (enumerative combinatorics) and with deciding whether certain "optimal" objects exist (extremal combinatorics).
		The study of how to count objects is sometimes thought of separately as the field of enumeration.
		One of the most prominent combinatorialists of recent times was Gian-Carlo Rota, who helped formalize the subject beginning in the 1960s.
	en.wikipedia.org /wiki/Category:Combinatorics (140 words)

	REFUEL.asc
		The fuel plane's departure from the jet should happen gradually, so one constraint is that the position and velocity at the time of "break away" must be the same as the position and velocity of the linear position function that the plane had been following.
		GENERAL INFORMATION FileName: REFUEL Full title: Rendezvous for aircraft refueling Last Update: 6/3/96 Developer: Kimberly Foltz, Mathematics and Computer Science Division, Indiana Academy for Science, Mathematics, & Humanities, Muncie IN 47306 USA Contact: Aaron Klebanoff, Department of Mathematics, Rose-Hulman Institute of Technology, Terre Haute IN 47803 USA.
		Also, once contact is made between the two planes, the fuel plane must hold (i.e., maintain the same velocity and relative position as the jet) with the jet throughout the 30 minutes of the refueling.
	www.rose-hulman.edu /Class/CalculusProbs/Problems/search/REFUEL.asc (140 words)

	isiCAD: IMCP'04: Interval Mathematics and Constraint Propagation methods
		The second international workshop IMCP'04: Interval Mathematics and Constraint Propagation methods accompanying international scientific forum isiCAD - Constraint-based Approaches and Methods of Mathematical Modelling for Intelligent CAD/CAM/CAE systems: From Methods to Applications - will be held in Novosibirsk, Russia, on June 21-23, 2004.
		The workshop is intended to cover both theory and practial issues of interval analysis, its use in constraint propagation methods over continuous domains and their applications in various fields.
		Abstracts must be typed in 12pt font, and the title should specify name(s) of the author(s), affiliation, postal and electronic addresses, following an annotation of the talk of no more than 150 words.
	isicad.ru /interval.php (506 words)

	A.P.Ershov Institute of Informatics Systems - Andrei Ershov Fifth International Conference - Workshop "Interval Mathematics and Constraint Propagation"
		Interval approach to the solution of the interval constraint satisfaction problem.
		An interval algorithm for determining soil static pressure on multilined stiff round pipes in a high embankment.
		On interval methods for differential problems with data uncertainty in the form of convex sets.
	www.iis.nsk.su /psi03/meeting/index_e.shtml (285 words)

	CP97
		Papers presented at the conference will come from one of the many disciplines concerned with constraints, including: artificial intelligence, combinatorial algorithms, computational logic, concurrent computation, databases, discrete mathematics, operations research, programming languages, symbolic computation.
		Constraints have emerged as the basis of a representational and computational paradigm that draws from many disciplines and can be brought to bear on many problem domains.
		The conference is concerned with all aspects of computing with constraints including: algorithms, applications, environments, languages, models, systems.
	www.mpi-sb.mpg.de /conferences/CP97 (452 words)

	Citebase - The approximability of three-valued MAX CSP
		Complexity Classications of Boolean Constraint Satisfaction Problems, volume 7 of SIAM Monographs on Discrete Mathematics and Applications.
		In the maximum constraint satisfaction problem (Max CSP), one is given a finite collection of (possibly weighted) constraints on overlapping sets of variables, and the goal is to assign values from a given domain to the variables so as to maximize the number (or the total weight, for the weighted case) of satisfied constraints.
		This problem is NP-hard in general, and, therefore, it is natural to study how restricting the allowed types of constraints affects the approximability of the problem.
	www.citebase.org /cgi-bin/citations?id=oai:arXiv.org:cs/0412042 (662 words)

	ScienceWeek
		From the standpoint of the mathematics of statistical physics, the essential general constraint of quantum statistics is that in partition functions of quantum systems it is sums over energy levels that must be used rather than integrals over phase space.
		For the mathematics of spontaneous symmetry-breaking of pure bosons, see sections 2.1.1 to 2.1.3 of S. Moskalenko, D. Snoke, Bose-Einstein Condensation of Excitons and Biexcitons and Coherent Nonlinear Optics with Excitons (Cambridge Univ. Press, Cambridge, 2000).
		In general, quantum statistics is concerned with the equilibrium distribution of elementary particles of a particular type among the various possible quantized energy states, with an assumption that these particles are indistinguishable.
	scienceweek.com /2003/sw030404.htm (662 words)

	IngentaConnect Justification of concurrent engineering environments based on fuz...
		This paper presents an approach to justify which combination of concurrent engineering (CE) techniques would be most beneficial to a particular company under a given budget constraint.
		Justification of concurrent engineering environments based on fuzzy mathematics
		Existing documents of design change are used to evaluate the effectiveness of each prospective CE technique.
	www.ingentaconnect.com /content/tandf/tprs/1998/00000036/00000007/art00016 (155 words)

	PhoReM
		Mathematics is not the rigid and rigidity-producing schema as which the layman views it; rather, we find ourselves in it at exactly that crossing point of constraint and freedom which is the very essence of man's nature.
		In the case of mathematics, for example, we need to articulate the notions of "significance" and "importance" with a view to influencing the ways language is used in the decision-making of the mathematical community.
		The time is right for the philosophy of mathematics to reconnect with mathematics since a revolution is in the air.
	www-users.york.ac.uk /~dc23/phorem.htm (155 words)

	Global Optimization
		This is a comprehensive archive of online information on (almost exclusively non-commercial) global optimization, and somewhat less comprehensive on local optimization, collected by Arnold Neumaier on the web server http://www.mat.univie.ac.at/~neum/glopt.html of the Computational Mathematics group at the University of Vienna, Austria.
		This almost book-sized survey covers the state of the art of techniques for solving general purpose constrained global optimization problems and continuous constraint satisfaction problems, with emphasis on complete techniques that provably find all solutions (if there are finitely many).
		The core of the material is presented in sufficient detail that the survey may serve as a text for teaching constrained global optimization.
	www.mat.univie.ac.at /~neum/glopt.html (644 words)

	ScienceWeek
		From the standpoint of the mathematics of statistical physics, the essential general constraint of quantum statistics is that in partition functions of quantum systems it is sums over energy levels that must be used rather than integrals over phase space.
		For the mathematics of spontaneous symmetry-breaking of pure bosons, see sections 2.1.1 to 2.1.3 of S. Moskalenko, D. Snoke, Bose-Einstein Condensation of Excitons and Biexcitons and Coherent Nonlinear Optics with Excitons (Cambridge Univ. Press, Cambridge, 2000).
		In general, quantum statistics is concerned with the equilibrium distribution of elementary particles of a particular type among the various possible quantized energy states, with an assumption that these particles are indistinguishable.
	scienceweek.com /2003/sw030404.htm (644 words)

	20th Annual IEEE Symposium on Logic in Computer Science (LICS 2005)
		LICS 2005 also examines topics such as automata theory, automated deduction, categorical models and logics, concurrency and distributed computation, constraint programming, constructive mathematics, database theory, and domain theory.
		The proceedings explores finite model theory, formal aspects of program analysis, formal methods, logical aspects of computational complexity, logics in AI, logics of programs, and logic programming.
	www.computer.org /portal/site/store/menuitem.41cf17dc879177c86ee948ce8bcd45f3/index.jsp?&pName=store_level1&path=store/p2005&file=p2266.xml&xsl=generic.xsl& (156 words)

	Constraint And Logic Programming
		s may use well-known axioms of mathematics, such as transitivity of the < operator, in finding a solution).
		Unlike LogicProgramming, there is no way to specify axioms (though ConstraintSolver?
	www.c2.com /cgi/wiki?ConstraintAndLogicProgramming (243 words)

	Wiley::Optimization
		Logic-Based Methods for Optimization: Combining Optimization and Constraint Satisfaction
		Introduction to Stochastic Search and Optimization: Estimation, Simulation, and Control
	eu.wiley.com /WileyCDA/Section/id-130070.html (31 words)

	oldtest1sol.html
		From the constraint equations, we then learn that y == 2 - 2 x and -y == 3 - 2 x.
		Mathematics 2507 Test number 1 solutions Thursday, 6 October 1994
		For the second critical point, the discriminant is the same, so it is also a saddle.
	www.math.gatech.edu /~harrell/calc/old/oldtest1sol.html (476 words)

	Akhlesh Lakhtakia
		Lakhtakia & W.S. Weiglhofer, 'On a constraint on the electromagnetic constitutive relations of nonhomogeneous linear media,' Institute of Mathematics and its Applications - Journal of Applied Mathematics, 54, 1995, 301 - 306.
		Lakhtakia & C.A. Pickover, 'The Connell sequence,' Journal of Recreational Mathematics, 25, 1993, 90 - 92.
		Lakhtakia, 'Five, in Ireland,' Journal of Recreational Mathematics, 25, 1993, 101 - 108.
	www.esm.psu.edu /~axl4/lakhtakia/Njournal9395.html (476 words)

	Isaac Newton Biography - Newton's Life, Career, Work - Dr Robert A. Hatch
		In 1664 Isaac Barrow, Lucasian Professor of Mathematics at Cambridge, examined Newton's understanding of Euclid and found it sorely lacking.
		For historical, philosophical, and mathematical reasons, Newton assumed the moon's centrifugal 'endeavour' to be equal and opposite to some unknown mechanical constraint.
		A subtle blend of mathematical reasoning and careful observation, the Opticks became the model for experimental physics in the 18th century.
	web.clas.ufl.edu /users/rhatch/pages/01-Courses/current-courses/08sr-newton.htm (4208 words)

	List of Publications
		On latin squares and the facial structure of related polytopes, Discrete Mathematics 62, 1986, 155-181.
		Mathematical programs with a two-dimensional reverse convex constraint, J.
		SIAM Journal on Discrete Mathematics 14, 2001, 498-509.
	www.opt.math.tu-graz.ac.at /burkard/art_proc.htm (2512 words)

	Proposed National Educational Fora
		Introducing the future teachers to nice new mathematics that should have at least an echo in the high school curriculum, for instance graph theory, optimization under constraint, coding and information theory, biological modelling and dynamical systems.
		Although Pre-service Teacher Education is of fundamental importance, it is recognized that this preparation (in terms of mathematics admission requirements and mathematics instruction) is very heterogeneous between and within the Canadian Provinces.
		The development of on-line courses will impact mathematics education at all levels including the mathematics education of teachers.
	www.dms.umontreal.ca /~rousseac/CSMF.htm (2644 words)

	Publications
		Quaderno 235 (2000), Department of Mathematics, University of Parma, Italy.
		Quaderno 399 (2005), Department of Mathematics, University of Parma, Italy.
		Quaderno 349 (2004), Department of Mathematics, University of Parma, Italy.
	www.cs.unipr.it /Publications (672 words)

	Calculus - Books, journals, articles @ The Questia Online Library
		CALCULUS OF VARIATIONS branch of mathematics concerned with...only on the variables themselves, as in the ordinary calculus, but also on an additional arbitrary relation, or constraint...that can be treated by the methods of the variational calculus; the solution to this special case is the circle.
		Calculus (Mathematics)--Study and teaching, Calculus--Study and teaching, College students--Education, Physics--Study and teaching
		Calculus (Mathematics)--Study and teaching, Calculus--Study and teaching, Context effects (Psychology)--Research, Mathematics teachers--Methods
	www.questia.com /search/Calculus (1450 words)

	CURRICULUM VITAE
		Complementarity constraint qualifications and simplified B-stationarity conditions for mathematical programs with equilibrium constraints (with M. Fukushima), Computational Optimization and Applications 13 (1999): 111-136.
		Stability analysis of variational inequalities and nonlinear complementarity problems, via the mixed linear complementarity problem and degree theory (with M.S. Gowda), Mathematics of Operations Research 19 (1994): 831-879.
		Properties of an interior-point mapping for nonlinear mixed complementarity problems (with R.D.C. Monteiro), Mathematics of Operations Research 21 (1996): 629-654.
	www.mts.jhu.edu /ams/research/abets/pang.html (1015 words)

	The Math Forum - Math Library - Dictionaries
		Offers a comprehensive alphabetical listing of terms, from Abstract program and Active constraint to Zigzag phenomenon.
		See also Mathematics Glossary N-Z. A glossary of mathematical terms, by Dr. Ronald Buelow, Department of Mathematics, Bethany Lutheran College, Mankato, MN.
		Maths Thesaurus - University of Cambridge, U.K. More than an alphabetical list of words and their definitions, this site has grown from a proposal made by the NRICH project at the University of Cambridge, to develop an online dictionary of mathematics to support its other online publications.
	mathforum.org /library/resource_types/dictionaries (1015 words)

	consen.995
		Amongst the many different mnemonic devices invented, two different elements of Roubaud's constraint, the use of mathematics as well as the use of specified loci, are elements of many earlier memory tools.
		Passages from his 1937 _Odile_ reveal hints of oulipian thought, a profound appreciation of mathematics, as well as a rejection of the Surrealist definition of "inspiration." _Odile_'s main narrator explains that the French language is simply incapable of expressing entities that exist in "other" worlds, worlds beyond daily experiences.
		The grid-like combinatory, its architectural space, as well as the chessboard and its pieces, compose a novel that is the basis of life's "mode d'emploi." [54] Calvino's constraint in _If on a winter's night a traveler_ starts with the figure of a box.
	www.iath.virginia.edu /pmc/text-only/issue.995/consen.995 (1015 words)

	Henry Wolkowicz: Optimization Software and Theory, e.g. Semidefinite Programming
		Semidefinite programs are linear programs where the nonnegativity constraint is replaced by a positive semidefinite constraint on matrix variables.
		special home page for semidefinite programming, organized by Christoph Helmberg, Professor of Algorithmic and Discrete Mathematics, Chemnitz University of Technology, Department of Mathematics, D-09107 Chemnitz, Germany.
		Semidefinite Programming Applied to Nonlinear Programming Master's Thesis by Serge Kruk, a preliminary to an SQQP algorithm, and a Research Report on an SQQP algorithm.
	orion.math.uwaterloo.ca /~hwolkowi/henry/software/readme.html (1924 words)

	Henry Wolkowicz: Optimization Software and Theory, e.g. Semidefinite Programming
		Semidefinite programs are linear programs where the nonnegativity constraint is replaced by a positive semidefinite constraint on matrix variables.
		special home page for semidefinite programming, organized by Christoph Helmberg, Professor of Algorithmic and Discrete Mathematics, Chemnitz University of Technology, Department of Mathematics, D-09107 Chemnitz, Germany.
		Semidefinite Programming Applied to Nonlinear Programming Master's Thesis by Serge Kruk, a preliminary to an SQQP algorithm, and a Research Report on an SQQP algorithm.
	orion.math.uwaterloo.ca /~hwolkowi/henry/software/readme.html (1924 words)

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Topic: Constraint (mathematics)

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