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Numerically Solving Polynomial Systems With Bertini


Numerically Solving Polynomial Systems With Bertini
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Numerically Solving Polynomial Systems With Bertini


Numerically Solving Polynomial Systems With Bertini
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Author : Daniel J. Bates
language : en
Publisher: SIAM
Release Date : 2013-11-08

Numerically Solving Polynomial Systems With Bertini written by Daniel J. Bates and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-08 with Science categories.


This book is a guide to concepts and practice in numerical algebraic geometry ? the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files. Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems. It treats the fundamental task of solving a given polynomial system and describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations. Those who wish to solve polynomial systems can start gently by finding isolated solutions to small systems, advance rapidly to using algorithms for finding positive-dimensional solution sets (curves, surfaces, etc.), and learn how to use parallel computers on large problems. These techniques are of interest to engineers and scientists in fields where polynomial equations arise, including robotics, control theory, economics, physics, numerical PDEs, and computational chemistry.



Numerically Solving Polynomial Systems With Bertini


Numerically Solving Polynomial Systems With Bertini
DOWNLOAD
Author : Daniel J. Bates
language : en
Publisher: SIAM
Release Date : 2013-11-08

Numerically Solving Polynomial Systems With Bertini written by Daniel J. Bates and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-08 with Science categories.


This book is a guide to concepts and practice in numerical algebraic geometry ? the solution of systems of polynomial equations by numerical methods. Through numerous examples, the authors show how to apply the well-received and widely used open-source Bertini software package to compute solutions, including a detailed manual on syntax and usage options. The authors also maintain a complementary web page where readers can find supplementary materials and Bertini input files. Numerically Solving Polynomial Systems with Bertini approaches numerical algebraic geometry from a user's point of view with numerous examples of how Bertini is applicable to polynomial systems. It treats the fundamental task of solving a given polynomial system and describes the latest advances in the field, including algorithms for intersecting and projecting algebraic sets, methods for treating singular sets, the nascent field of real numerical algebraic geometry, and applications to large polynomial systems arising from differential equations. Those who wish to solve polynomial systems can start gently by finding isolated solutions to small systems, advance rapidly to using algorithms for finding positive-dimensional solution sets (curves, surfaces, etc.), and learn how to use parallel computers on large problems. These techniques are of interest to engineers and scientists in fields where polynomial equations arise, including robotics, control theory, economics, physics, numerical PDEs, and computational chemistry.



Mathematical Software Icms 2018


Mathematical Software Icms 2018
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Author : James H. Davenport
language : en
Publisher: Springer
Release Date : 2018-07-17

Mathematical Software Icms 2018 written by James H. Davenport and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-17 with Computers categories.


This book constitutes the proceedings of the 6th International Conference on Mathematical Software, ICMS 2018, held in South Bend, IN, USA, in July 2018.The 59 papers included in this volume were carefully reviewed and selected from numerous submissions. The program of the 2018 meeting consisted of 20 topical sessions, each of which providing an overview of the challenges, achievements and progress in a subeld of mathematical software research, development and use.



Mathematical Software Icms 2014


Mathematical Software Icms 2014
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Author : Hoon Hong
language : en
Publisher: Springer
Release Date : 2014-08-01

Mathematical Software Icms 2014 written by Hoon Hong and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-01 with Computers categories.


This book constitutes the proceedings of the 4th International Conference on Mathematical Software, ICMS 2014, held in Seoul, South Korea, in August 2014. The 108 papers included in this volume were carefully reviewed and selected from 150 submissions. The papers are organized in topical sections named: invited; exploration; group; coding; topology; algebraic; geometry; surfaces; reasoning; special; Groebner; triangular; parametric; interfaces and general.



Mathematical Software Icms 2020


Mathematical Software Icms 2020
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Author : Anna Maria Bigatti
language : en
Publisher: Springer Nature
Release Date : 2020-07-07

Mathematical Software Icms 2020 written by Anna Maria Bigatti and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-07 with Computers categories.


This book constitutes the proceedings of the 7th International Conference on Mathematical Software, ICMS 2020, held in Braunschweig, Germany, in July 2020. The 48 papers included in this volume were carefully reviewed and selected from 58 submissions. The program of the 2020 meeting consisted of 20 topical sessions, each of which providing an overview of the challenges, achievements and progress in a environment of mathematical software research, development and use.



Artificial Intelligence And Symbolic Computation


Artificial Intelligence And Symbolic Computation
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Author : Jacques Fleuriot
language : en
Publisher: Springer
Release Date : 2018-08-27

Artificial Intelligence And Symbolic Computation written by Jacques Fleuriot and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-27 with Computers categories.


This book constitutes the refereed proceedings of the 13th International Conference on Artificial Intelligence and Symbolic Computation, AISC 2018, held in Suzhou, China, in September 2018. The 13 full papers presented together with 5 short and 2 invited papers were carefully reviewed and selected from 31 submissions. The AISC conference is an important forum when it comes to ensuring that ideas, theoretical insights, methods and results from traditional AI can be discussed and showcased, while fostering new links with other areas of AI such as probabilistic reasoning and deep learning.



Computer Algebra In Scientific Computing


Computer Algebra In Scientific Computing
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Author : Vladimir P. Gerdt
language : en
Publisher: Springer
Release Date : 2017-09-07

Computer Algebra In Scientific Computing written by Vladimir P. Gerdt and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-07 with Computers categories.


This book constitutes the proceedings of the 19th International Workshop on Computer Algebra in Scientific Computing, CASC 2017, held in Beijing, China, in September 2017. The 28 full papers presented in this volume were carefully reviewed and selected from 33 submissions. They deal with cutting-edge research in all major disciplines of Computer Algebra.



Proceedings Of The 2020 Usctomm Symposium On Mechanical Systems And Robotics


Proceedings Of The 2020 Usctomm Symposium On Mechanical Systems And Robotics
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Author : Pierre Larochelle
language : en
Publisher: Springer Nature
Release Date : 2020-04-20

Proceedings Of The 2020 Usctomm Symposium On Mechanical Systems And Robotics written by Pierre Larochelle and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-20 with Technology & Engineering categories.


This volume gathers the latest fundamental research contributions, innovations, and applications in the field of design and analysis of complex robotic mechanical systems, machines, and mechanisms, as presented by leading international researchers at the 1st USCToMM Symposium on Mechanical Systems and Robotics (USCToMM MSR 2020), held in Rapid City, South Dakota, USA on May 14-16, 2020. It covers highly diverse topics, including soft, wearable and origami robotic systems; applications to walking, flying, climbing, underground, swimming and space systems; human rehabilitation and performance augmentation; design and analysis of mechanisms and machines; human-robot collaborative systems; service robotics; mechanical systems and robotics education; and the commercialization of mechanical systems and robotics. The contributions, which were selected by means of a rigorous international peer-review process, highlight numerous exciting and impactful research results that will inspire novel research directions and foster multidisciplinary research collaborations among researchers from around the globe.



Handbook Of Geometric Constraint Systems Principles


Handbook Of Geometric Constraint Systems Principles
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Author : Meera Sitharam
language : en
Publisher: CRC Press
Release Date : 2018-07-20

Handbook Of Geometric Constraint Systems Principles written by Meera Sitharam and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-20 with Mathematics categories.


The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both beginners and experts. The handbook provides a guide for students learning basic concepts, as well as experts looking to pinpoint specific results or approaches in the broad landscape. As such, the editors created this handbook to serve as a useful tool for navigating the varied concepts, approaches and results found in GCS research. Key Features: A comprehensive reference handbook authored by top researchers Includes fundamentals and techniques from multiple perspectives that span several research communities Provides recent results and a graded program of open problems and conjectures Can be used for senior undergraduate or graduate topics course introduction to the area Detailed list of figures and tables About the Editors: Meera Sitharam is currently an Associate Professor at the University of Florida’s Department of Computer & Information Science and Engineering. She received her Ph.D. at the University of Wisconsin, Madison. Audrey St. John is an Associate Professor of Computer Science at Mount Holyoke College, who received her Ph. D. from UMass Amherst. Jessica Sidman is a Professor of Mathematics on the John S. Kennedy Foundation at Mount Holyoke College. She received her Ph.D. from the University of Michigan.



Mechanisms


Mechanisms
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Author : Jaime Gallardo-Alvarado
language : en
Publisher: Academic Press
Release Date : 2022-06-18

Mechanisms written by Jaime Gallardo-Alvarado and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-18 with Technology & Engineering categories.


Theory of mechanisms is an applied science of mechanics that studies the relationship between geometry, mobility, topology, and relative motion between rigid bodies connected by geometric forms. Recently, knowledge in kinematics and mechanisms has considerably increased, causing a renovation in the methods of kinematic analysis. With the progress of the algebras of kinematics and the mathematical methods used in the optimal solution of polynomial equations, it has become possible to formulate and elegantly solve problems. Mechanisms: Kinematic Analysis and Applications in Robotics provides an updated approach to kinematic analysis methods and a review of the mobility criteria most used in planar and spatial mechanisms. Applications in the kinematic analysis of robot manipulators complement the material presented in the book, growing in importance when one recognizes that kinematics is a basic area in the control and modeling of robot manipulators. - Presents an organized review of general mathematical methods and classical concepts of the theory of mechanisms - Introduces methods approaching time derivatives of arbitrary vectors employing general approaches based on the vector angular velocity concept introduced by Kane and Levinson - Proposes a strategic approach not only in acceleration analysis but also to jerk analysis in an easy to understand and systematic way - Explains kinematic analysis of serial and parallel manipulators by means of the theory of screws