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Finite differences [Method of ] --- Moore-Smith convergence --- Net equations --- Net methods (Mathematics) --- Nets (Mathematics) --- Planes [Projective ] --- Projective planes --- Projective planes. --- Nets (Mathematics).
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What do road and railway systems, mingling at parties, mazes, family trees, and the Internet all have in common? All are networks - either people or places or things that relate and connect to one another. Peter Higgins shows that all these phenomena - and many more - are underpinned by the same deep mathematical structure.
Nets (Mathematics) --- Mathematical recreations. --- Mathematics --- Mathematical puzzles --- Number games --- Recreational mathematics --- Recreations, Mathematical --- Puzzles --- Scientific recreations --- Games in mathematics education --- Magic squares --- Magic tricks in mathematics education --- Moore-Smith convergence --- Net equations --- Net methods (Mathematics) --- Convergence --- Set theory --- Topology --- Logic, Symbolic and mathematical
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The properties of a material depend not only on the specific atoms and molecules it contains, but also on the arrangement of these in space. Many of these three-dimensional arrangements are described as ""3D-nets"" or ""3D-networks"". Molecule-Based Materials: The Structural Network Approach is about the synthesis, description, nomenclature and analysis of such nets and the relation of the nets to the physical properties of the materials. It introduces the mathematics, and includes a short guide to programs useful for retrieving, analysing and naming nets. Complete with illustrations
Crystallography, Mathematical. --- Nets (Mathematics) --- Three-dimensional imaging. --- 3-D imaging --- 3D imaging --- Three-dimensional imaging systems --- Three-dimensional imaging techniques --- Three-dimensional visualization --- Visualization, Three-dimensional --- Imaging systems --- Moore-Smith convergence --- Net equations --- Net methods (Mathematics) --- Convergence --- Set theory --- Topology --- Crystallography --- Crystallometry --- Mathematical crystallography --- Crystals --- Lattice theory --- Mathematics --- Mathematical models
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Laguerre geometry. --- Geometry, Non-Euclidean. --- Nets (Mathematics) --- Geometria no euclidiana --- Xarxes (Matemàtica) --- Non-Euclidean geometry --- Geometry --- Parallels (Geometry) --- Geometry, Laguerre --- Geometry, Analytic --- Convergència de Moore-Smith --- Equacions de xarxes --- Mètodes de xarxes (Matemàtica) --- Moore-Smith, Convergència de --- Convergència (Matemàtica) --- Topologia --- Xarxes de Petri --- Espais hiperbòlics --- Geometria de Riemann --- Geometria hiperbòlica --- Hiperespai --- Geometria euclidiana --- Paral·leles (Geometria) --- Moore-Smith convergence --- Net equations --- Net methods (Mathematics) --- Convergence --- Set theory --- Topology --- Foundations
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This book presents the very concept of an index matrix and its related augmented matrix calculus in a comprehensive form. It mostly illustrates the exposition with examples related to the generalized nets and intuitionistic fuzzy sets which are examples of an extremely wide array of possible application areas. The present book contains the basic results of the author over index matrices and some of its open problems with the aim to stimulating more researchers to start working in this area.
Engineering. --- Artificial intelligence. --- Neural networks (Computer science). --- Computational intelligence. --- Computational Intelligence. --- Artificial Intelligence (incl. Robotics). --- Mathematical Models of Cognitive Processes and Neural Networks. --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Artificial neural networks --- Nets, Neural (Computer science) --- Networks, Neural (Computer science) --- Neural nets (Computer science) --- Natural computation --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Construction --- Industrial arts --- Technology --- Artificial Intelligence. --- Nets (Mathematics) --- Moore-Smith convergence --- Net equations --- Net methods (Mathematics) --- Convergence --- Set theory --- Topology --- Neural networks (Computer science) .
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This monograph presents a well written and clearly organized introduction in the standard methods of discrete, continuous and hybrid Petri Nets. Starting from the basics of Petri nets the book imparts an accurate understanding of continuous and hybrid Petri Nets. Preserving the consistency of basic concepts throughout the text it introduces a unified framework for all the models presented. The book is a scientific monograph as well as a didactic tutorial which is easy to understand due to many exercises with solutions, detailed figures and several case studies. It demonstrates that Petri nets are a deep, practical and alive field important for researchers, engineers and graduate students in engineering and computer science. Improvements and additions in this second edition have widely benefited from teaching, student questions, and various discussions with colleagues interested or involved in the topic.
Petri nets. --- Nets (Mathematics) --- Moore-Smith convergence --- Net equations --- Net methods (Mathematics) --- Engineering. --- Mathematical logic. --- Applied mathematics. --- Engineering mathematics. --- Computational intelligence. --- Control engineering. --- Robotics. --- Mechatronics. --- Control. --- Applications of Mathematics. --- Engineering, general. --- Control, Robotics, Mechatronics. --- Computational Intelligence. --- Mathematical Logic and Formal Languages. --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Machine theory --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers --- Intelligence, Computational --- Artificial intelligence --- Soft computing --- Engineering --- Engineering analysis --- Mathematical analysis --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Construction --- Industrial arts --- Technology --- Convergence --- Topology --- Graph theory --- Mathematics. --- Computer science. --- Control and Systems Theory. --- Informatics --- Science --- Math
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Indispensable for students, invaluable for researchers, this comprehensive treatment of contemporary quasi-Monte Carlo methods, digital nets and sequences, and discrepancy theory starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research. As deterministic versions of the Monte Carlo method, quasi-Monte Carlo rules have increased in popularity, with many fruitful applications in mathematical practice. These rules require nodes with good uniform distribution properties, and digital nets and sequences in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel Hilbert spaces and weighted integration, duality theory for digital nets, polynomial lattice rules, the newest constructions by Niederreiter and Xing and many more. The authors present an accessible introduction to the subject based mainly on material taught in undergraduate courses with numerous examples, exercises and illustrations.
Monte Carlo method. --- Nets (Mathematics) --- Sequences (Mathematics) --- Numerical integration. --- Digital filters (Mathematics) --- Data smoothing filters --- Filters, Digital (Mathematics) --- Linear digital filters (Mathematics) --- Linear filters (Mathematics) --- Numerical filters --- Smoothing filters (Mathematics) --- Digital electronics --- Filters (Mathematics) --- Fourier transformations --- Functional analysis --- Numerical analysis --- Numerical calculations --- Integration, Numerical --- Mechanical quadrature --- Quadrature, Mechanical --- Definite integrals --- Interpolation --- Mathematical sequences --- Numerical sequences --- Algebra --- Mathematics --- Moore-Smith convergence --- Net equations --- Net methods (Mathematics) --- Convergence --- Set theory --- Topology --- Artificial sampling --- Model sampling --- Monte Carlo simulation --- Monte Carlo simulation method --- Stochastic sampling --- Games of chance (Mathematics) --- Mathematical models --- Stochastic processes
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This monograph presents a well written and clearly organized introduction in the standard methods of discrete, continuous and hybrid Petri Nets. Starting from the basics of Petri nets the book imparts an accurate understanding of continuous and hybrid Petri Nets. Preserving the consistency of basic concepts throughout the text it introduces a unified framework for all the models presented. The book is a scientific monograph as well as a didactic tutorial which is easy to understand due to many exercises with solutions, detailed figures and several case studies. It demonstrates that Petri nets are a deep, practical and alive field important for researchers, engineers and graduate students in engineering and computer science.
Petri nets. --- Nets (Mathematics) --- Moore-Smith convergence --- Net equations --- Net methods (Mathematics) --- Convergence --- Set theory --- Topology --- Graph theory --- Information Technology --- Artificial Intelligence --- Réseaux de Pétri --- EPUB-LIV-FT SPRINGER-B LIVINGEN --- Artificial intelligence. --- Engineering mathematics. --- Computer science. --- Systems theory. --- Mathematics. --- Control, Robotics, Mechatronics. --- Artificial Intelligence. --- Mathematical and Computational Engineering. --- Mathematical Logic and Formal Languages. --- Systems Theory, Control. --- Applications of Mathematics. --- System theory. --- Math --- Science --- Informatics --- Engineering --- Engineering analysis --- Mathematical analysis --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Systems, Theory of --- Systems science --- Mathematics --- Philosophy --- Petri nets --- Control engineering. --- Robotics. --- Mechatronics. --- Applied mathematics. --- Mathematical logic. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Syllogism --- Mechanical engineering --- Microelectronics --- Microelectromechanical systems --- Automation --- Control engineering --- Control equipment --- Control theory --- Engineering instruments --- Programmable controllers
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Differential equations, Partial --- Nets (Mathematics) --- Equations aux dérivées partielles --- Réseaux (Mathématiques) --- 519.6 --- 681.3 *G18 --- Moore-Smith convergence --- Net equations --- Net methods (Mathematics) --- Convergence --- Set theory --- Topology --- Partial differential equations --- Computational mathematics. Numerical analysis. Computer programming --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Differential equations, Partial. --- Nets (Mathematics). --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Equations aux dérivées partielles --- Réseaux (Mathématiques) --- Equations aux derivees partielles --- Equations aux derivees partielles paraboliques --- Equations aux derivees partielles elliptiques --- Equations aux derivees partielles hyperboliques --- Methodes numeriques --- Differences finies
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Coloured Petri Nets (CPN) is a graphical language for modelling and validating concurrent and distributed systems, and other systems in which concurrency plays a major role. The development of such systems is particularly challenging because of inherent intricacies like possible nondeterminism and the immense number of possible execution sequences. In this textbook Jensen and Kristensen introduce the constructs of the CPN modelling language and present the related analysis methods in detail. They also provide a comprehensive road map for the practical use of CPN by showcasing selected industrial case studies that illustrate the practical use of CPN modelling and validation for design, specification, simulation, verification and implementation in various application domains. Their presentation primarily aims at readers interested in the practical use of CPN. Thus all concepts and constructs are first informally introduced through examples and then followed by formal definitions (which may be skipped). The book is ideally suitable for a one-semester course at an advanced undergraduate or graduate level, and through its strong application examples can also serve for self-study. An accompanying website offers additional material such as slides, exercises and project proposals.
Petri nets. --- Petri nets --- Computer Science --- Algebra --- Speculative Philosophy --- Engineering & Applied Sciences --- Philosophy --- Mathematics --- Physical Sciences & Mathematics --- Philosophy & Religion --- Nets (Mathematics) --- Moore-Smith convergence --- Net equations --- Net methods (Mathematics) --- Computer science. --- Computer organization. --- Software engineering. --- Computers. --- Computer simulation. --- Computer Science. --- Software Engineering/Programming and Operating Systems. --- Computation by Abstract Devices. --- Simulation and Modeling. --- Software Engineering. --- Computer Systems Organization and Communication Networks. --- Graph theory --- Convergence --- Set theory --- Topology --- Computer network architectures. --- Architectures, Computer network --- Network architectures, Computer --- Computer architecture --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Simulation methods --- Model-integrated computing --- Informatics --- Science --- Computer software engineering --- Engineering --- Organization, Computer --- Electronic digital computers --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace
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