Graph Calculus

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Operator Calculus On Graphs: Theory And Applications In Computer Science

Author : George Stacey Staples
Publisher : World Scientific
ISBN 13 : 1908977574
Total Pages : 428 pages
Book Rating : 4.9/5 (89 download)

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Book Synopsis Operator Calculus On Graphs: Theory And Applications In Computer Science by : George Stacey Staples

Download or read book Operator Calculus On Graphs: Theory And Applications In Computer Science written by George Stacey Staples and published by World Scientific. This book was released on 2012-02-23 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This pioneering book presents a study of the interrelationships among operator calculus, graph theory, and quantum probability in a unified manner, with significant emphasis on symbolic computations and an eye toward applications in computer science.Presented in this book are new methods, built on the algebraic framework of Clifford algebras, for tackling important real world problems related, but not limited to, wireless communications, neural networks, electrical circuits, transportation, and the world wide web. Examples are put forward in Mathematica throughout the book, together with packages for performing symbolic computations.

Discrete Calculus

Author : Leo J. Grady
Publisher : Springer Science & Business Media
ISBN 13 : 1849962901
Total Pages : 371 pages
Book Rating : 4.8/5 (499 download)

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Book Synopsis Discrete Calculus by : Leo J. Grady

Download or read book Discrete Calculus written by Leo J. Grady and published by Springer Science & Business Media. This book was released on 2010-07-23 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique text brings together into a single framework current research in the three areas of discrete calculus, complex networks, and algorithmic content extraction. Many example applications from several fields of computational science are provided.

University Calculus

Author : Joel Hass
Publisher :
ISBN 13 : 9780321500977
Total Pages : 1056 pages
Book Rating : 4.5/5 (9 download)

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Book Synopsis University Calculus by : Joel Hass

Download or read book University Calculus written by Joel Hass and published by . This book was released on 2008 with total page 1056 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus hasn't changed, but your students have. Many of today's students have seen calculus before at the high school level. However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. University Calculus: Alternate Edition responds to the needs of today's students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course. The Alternate Edition is the perfect alternative for instructors who want the same quality and quantity of exercises as Thomas' Calculus, Media Upgrade, Eleventh Edition but prefer a faster-paced presentation. University Calculus: Alternate Edition is now available with an enhanced MyMathLab(t) course-the ultimate homework, tutorial and study solution for today's students. The enhanced MyMathLab(t) course includes a rich and flexible set of course materials and features innovative Java(t) Applets, Group Projects, and new MathXL(R) exercises. This text is also available with WebAssign(R) and WeBWorK(R).

Handbook of Graph Grammars and Computing by Graph Transformation

Author : Hartmut Ehrig
Publisher : World Scientific
ISBN 13 : 9789810240219
Total Pages : 480 pages
Book Rating : 4.2/5 (42 download)

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Book Synopsis Handbook of Graph Grammars and Computing by Graph Transformation by : Hartmut Ehrig

Download or read book Handbook of Graph Grammars and Computing by Graph Transformation written by Hartmut Ehrig and published by World Scientific. This book was released on 1999 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph grammars originated in the late 60s, motivated by considerations about pattern recognition and compiler construction. Since then, the list of areas which have interacted with the development of graph grammars has grown quite impressively. Besides the aforementioned areas, it includes software specification and development, VLSI layout schemes, database design, modeling of concurrent systems, massively parallel computer architectures, logic programming, computer animation, developmental biology, music composition, visual languages, and many others. The area of graph grammars and graph transformations generalizes formal language theory based on strings and the theory of term rewriting based on trees. As a matter of fact, within the area of graph grammars, graph transformation is considered a fundamental computation paradigm where computation includes specification, programming, and implementation. Over the last three decades, graph grammars have developed at a steady pace into a theoretically attractive and important-for-applications research field. Volume 3 of the 'indispensable Handbook of' Graph Grammars and Computing by Graph Transformations presents the research on concurrency, parallelism, and distribution -- important paradigms of modern science. The topics considered include semantics for concurrent systems, modeling of concurrency, mobile and coordinated systems, algebraic specifications, Petri nets, visual design of distributed systems, and distributed algorithms. The contributions have been written in a tutorial/survey style by the top experts.

Graph Theory, Computational Intelligence and Thought

Author : Marina Lipshteyn
Publisher : Springer Science & Business Media
ISBN 13 : 3642020291
Total Pages : 238 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Graph Theory, Computational Intelligence and Thought by : Marina Lipshteyn

Download or read book Graph Theory, Computational Intelligence and Thought written by Marina Lipshteyn and published by Springer Science & Business Media. This book was released on 2009-07-27 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Martin Charles Golumbic has been making seminal contributions to algorithmic graph theory and artificial intelligence throughout his career. He is universally admired as a long-standing pillar of the discipline of computer science. He has contributed to the development of fundamental research in artificial intelligence in the area of complexity and spatial-temporal reasoning as well as in the area of compiler optimization. Golumbic's work in graph theory led to the study of new perfect graph families such as tolerance graphs, which generalize the classical graph notions of interval graph and comparability graph. He is credited with introducing the systematic study of algorithmic aspects in intersection graph theory, and initiated research on new structured families of graphs including the edge intersection graphs of paths in trees (EPT) and trivially perfect graphs. Golumbic is currently the founder and director of the Caesarea Edmond Benjamin de Rothschild Institute for Interdisciplinary Applications of Computer Science at the University of Haifa. He also served as chairman of the Israeli Association of Artificial Intelligence (1998-2004), and founded and chaired numerous international symposia in discrete mathematics and in the foundations of artificial intelligence. This Festschrift volume, published in honor of Martin Charles Golumbic on the occasion of his 60th birthday, contains 20 papers, written by graduate students, research collaborators, and computer science colleagues, who gathered at a conference on subjects related to Martin Golumbic's manifold contributions in the field of algorithmic graph theory and artificial intelligence, held in Jerusalem, Tiberias and Haifa, Israel in September 2008.

Functions and Graphs

Author : I. M. Gelfand
Publisher : Courier Corporation
ISBN 13 : 0486425649
Total Pages : 116 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Functions and Graphs by : I. M. Gelfand

Download or read book Functions and Graphs written by I. M. Gelfand and published by Courier Corporation. This book was released on 2002-01-01 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents students with problems and exercises designed to illuminate the properties of functions and graphs. The 1st part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The 2nd half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions. 1969 edition.

Advanced Calculus (Revised Edition)

Author : Lynn Harold Loomis
Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

An Introduction to Causal Inference

Author : Judea Pearl
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781507894293
Total Pages : 0 pages
Book Rating : 4.8/5 (942 download)

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Book Synopsis An Introduction to Causal Inference by : Judea Pearl

Download or read book An Introduction to Causal Inference written by Judea Pearl and published by Createspace Independent Publishing Platform. This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper summarizes recent advances in causal inference and underscores the paradigmatic shifts that must be undertaken in moving from traditional statistical analysis to causal analysis of multivariate data. Special emphasis is placed on the assumptions that underly all causal inferences, the languages used in formulating those assumptions, the conditional nature of all causal and counterfactual claims, and the methods that have been developed for the assessment of such claims. These advances are illustrated using a general theory of causation based on the Structural Causal Model (SCM) described in Pearl (2000a), which subsumes and unifies other approaches to causation, and provides a coherent mathematical foundation for the analysis of causes and counterfactuals. In particular, the paper surveys the development of mathematical tools for inferring (from a combination of data and assumptions) answers to three types of causal queries: (1) queries about the effects of potential interventions, (also called "causal effects" or "policy evaluation") (2) queries about probabilities of counterfactuals, (including assessment of "regret," "attribution" or "causes of effects") and (3) queries about direct and indirect effects (also known as "mediation"). Finally, the paper defines the formal and conceptual relationships between the structural and potential-outcome frameworks and presents tools for a symbiotic analysis that uses the strong features of both. The tools are demonstrated in the analyses of mediation, causes of effects, and probabilities of causation. -- p. 1.

Handbook Of Graph Grammars And Computing By Graph Transformations, Vol 3: Concurrency, Parallelism, And Distribution

Author : Grzegorz Rozenberg
Publisher : World Scientific
ISBN 13 : 9814494429
Total Pages : 470 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Handbook Of Graph Grammars And Computing By Graph Transformations, Vol 3: Concurrency, Parallelism, And Distribution by : Grzegorz Rozenberg

Download or read book Handbook Of Graph Grammars And Computing By Graph Transformations, Vol 3: Concurrency, Parallelism, And Distribution written by Grzegorz Rozenberg and published by World Scientific. This book was released on 1999-08-30 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph grammars originated in the late 60s, motivated by considerations about pattern recognition and compiler construction. Since then, the list of areas which have interacted with the development of graph grammars has grown quite impressively. Besides the aforementioned areas, it includes software specification and development, VLSI layout schemes, database design, modeling of concurrent systems, massively parallel computer architectures, logic programming, computer animation, developmental biology, music composition, visual languages, and many others.The area of graph grammars and graph transformations generalizes formal language theory based on strings and the theory of term rewriting based on trees. As a matter of fact, within the area of graph grammars, graph transformation is considered as a fundamental computation paradigm where computation includes specification, programming, and implementation. Over the last three decades, graph grammars have developed at a steady pace into a theoretically attractive and important-for-applications research field.Volume 3 of the indispensable Handbook of Graph Grammars and Computing by Graph Transformations presents the research on concurrency, parallelism, and distribution — important paradigms of modern computer science. The topics considered include semantics for concurrent systems, modeling of concurrency, mobile and coordinated systems, algebraic specifications, Petri nets, visual design of distributed systems, and distributed algorithms. The contributions have been written in a tutorial/survey style by the top experts.

Graph-based Knowledge Representation

Author : Michel Chein
Publisher : Springer Science & Business Media
ISBN 13 : 1848002866
Total Pages : 428 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Graph-based Knowledge Representation by : Michel Chein

Download or read book Graph-based Knowledge Representation written by Michel Chein and published by Springer Science & Business Media. This book was released on 2008-10-20 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a de?nition and study of a knowledge representation and r- soning formalism stemming from conceptual graphs, while focusing on the com- tational properties of this formalism. Knowledge can be symbolically represented in many ways. The knowledge representation and reasoning formalism presented here is a graph formalism – knowledge is represented by labeled graphs, in the graph theory sense, and r- soning mechanisms are based on graph operations, with graph homomorphism at the core. This formalism can thus be considered as related to semantic networks. Since their conception, semantic networks have faded out several times, but have always returned to the limelight. They faded mainly due to a lack of formal semantics and the limited reasoning tools proposed. They have, however, always rebounded - cause labeled graphs, schemas and drawings provide an intuitive and easily und- standable support to represent knowledge. This formalism has the visual qualities of any graphic model, and it is logically founded. This is a key feature because logics has been the foundation for knowledge representation and reasoning for millennia. The authors also focus substantially on computational facets of the presented formalism as they are interested in knowledge representation and reasoning formalisms upon which knowledge-based systems can be built to solve real problems. Since object structures are graphs, naturally graph homomorphism is the key underlying notion and, from a computational viewpoint, this moors calculus to combinatorics and to computer science domains in which the algorithmicqualitiesofgraphshavelongbeenstudied,asindatabasesandconstraint networks.

Calculus Textbook for College and University USA

Author : Ibrahim Sikder
Publisher : Ibrahim sikder
ISBN 13 :
Total Pages : 1282 pages
Book Rating : 4./5 ( download)

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Book Synopsis Calculus Textbook for College and University USA by : Ibrahim Sikder

Download or read book Calculus Textbook for College and University USA written by Ibrahim Sikder and published by Ibrahim sikder. This book was released on 2023-06-04 with total page 1282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calculus Textbook

Graph Reduction

Author : Joseph H. Fasel
Publisher : Springer Science & Business Media
ISBN 13 : 9783540184201
Total Pages : 58 pages
Book Rating : 4.1/5 (842 download)

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Book Synopsis Graph Reduction by : Joseph H. Fasel

Download or read book Graph Reduction written by Joseph H. Fasel and published by Springer Science & Business Media. This book was released on 1987-10-07 with total page 58 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes recent research in graph reduction and related areas of functional and logic programming, as reported at a workshop in 1986. The papers are based on the presentations, and because the final versions were prepared after the workshop, they reflect some of the discussions as well. Some benefits of graph reduction can be found in these papers: - A mathematically elegant denotational semantics - Lazy evaluation, which avoids recomputation and makes programming with infinite data structures (such as streams) possible - A natural tasking model for fine-to-medium grain parallelism. The major topics covered are computational models for graph reduction, implementation of graph reduction on conventional architectures, specialized graph reduction architectures, resource control issues such as control of reduction order and garbage collection, performance modelling and simulation, treatment of arrays, and the relationship of graph reduction to logic programming.

Calculus

Author : Gilbert Strang
Publisher :
ISBN 13 : 9781938168062
Total Pages : 824 pages
Book Rating : 4.1/5 (68 download)

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Book Synopsis Calculus by : Gilbert Strang

Download or read book Calculus written by Gilbert Strang and published by . This book was released on 2016-03-07 with total page 824 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Published by OpenStax College, Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 2 covers integration, differential equations, sequences and series, and parametric equations and polar coordinates."--BC Campus website.

APEX Calculus

Author : Gregory Hartman
Publisher :
ISBN 13 : 9781514225158
Total Pages : 0 pages
Book Rating : 4.2/5 (251 download)

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Book Synopsis APEX Calculus by : Gregory Hartman

Download or read book APEX Calculus written by Gregory Hartman and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).

Graph Transformation

Author : Fabio Gadducci
Publisher : Springer Nature
ISBN 13 : 3030789462
Total Pages : 311 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Graph Transformation by : Fabio Gadducci

Download or read book Graph Transformation written by Fabio Gadducci and published by Springer Nature. This book was released on 2021-06-17 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 14th International Conference on Graph Transformation, ICGT 2021, which took place virtually during June 24-25, 2021. The 14 full papers and 2 tool papers presented in this book were carefully reviewed and selected from 26 submissions. They deal with the following topics: theoretical advances; application domains; and tool presentations.

The Knowledgebook

Author :
Publisher : National Geographic Books
ISBN 13 : 9781426201240
Total Pages : 520 pages
Book Rating : 4.2/5 (12 download)

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Book Synopsis The Knowledgebook by :

Download or read book The Knowledgebook written by and published by National Geographic Books. This book was released on 2007 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive, visual reference, enhanced by two thousand photographs and illustrations, provides information on all major fields of knowledge and includes timelines, sidebars, cross-reference, and other useful features.

Graph Transformation

Author : Maribel Fernández
Publisher : Springer Nature
ISBN 13 : 303136709X
Total Pages : 308 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Graph Transformation by : Maribel Fernández

Download or read book Graph Transformation written by Maribel Fernández and published by Springer Nature. This book was released on 2023-08-14 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 16th International Conference on Graph Transformation, ICGT 2023, held as Part of STAF 2023 in Leicester, UK, in July 2023. The 14 full papers and 2 short papers presented in this book were carefully reviewed and selected from 29 submissions. The conference focuses on describing new unpublished contributions in the theory and applications of graph transformation as well as tool presentation papers that demonstrate main new features and functionalities of graph-based tools.