Automated Inequality Proving And Discovering

Automated Inequality Proving And Discovering
Author: Bican Xia
Publisher: World Scientific
Total Pages: 345
Release: 2016-06-21
Genre: Mathematics
ISBN: 9814759139

This is the first book that focuses on practical algorithms for polynomial inequality proving and discovering. It is a summary of the work by the authors and their collaborators on automated inequality proving and discovering in recent years. Besides brief introduction to some classical results and related work in corresponding chapters, the book mainly focuses on the algorithms initiated by the authors and their collaborators, such as real root counting, real root classification, improved CAD projection, dimension-decreasing algorithm, difference substitution, and so on. All the algorithms were rigorously proved and the implementations are demonstrated by lots of examples in various backgrounds such as algebra, geometry, biological science, and computer science.

Automated Deduction in Geometry

Automated Deduction in Geometry
Author: Xiao-lu Gao
Publisher: Springer
Total Pages: 297
Release: 2003-06-26
Genre: Computers
ISBN: 354047997X

The Second International Workshop on Automated Deduction in Geometry (ADG ’98) was held in Beijing, China, August 1–3, 1998. An increase of interest in ADG ’98 over the previous workshop ADG ’96 is represented by the notable number of more than 40 participants from ten countries and the strong tech- cal program of 25 presentations, of which two one-hour invited talks were given by Professors Wen-tsun ̈ Wu and Jing-Zhong Zhang. The workshop provided the participants with a well-focused forum for e?ective exchange of new ideas and timely report of research progress. Insight surveys, algorithmic developments, and applications in CAGD/CAD and computer vision presented by active - searchers, together with geometry software demos, shed light on the features of this second workshop. ADG ’98 was hosted by the Mathematics Mechanization Research Center (MMRC) with ?nancial support from the Chinese Academy of Sciences and the French National Center for Scienti?c Research (CNRS), and was organized by the three co-editors of this proceedings volume. The papers contained in the volume were selected, under a strict refereeing procedure, from those presented at ADG ’98 and submitted afterwards. Most of the 14 accepted papers were carefully revised and some of the revised versions were checked again by external reviewers. We hope that these papers cover some of the most recent and signi?cant research results and developments and re?ect the current state-of-the-art of ADG.

Automated Deduction in Geometry

Automated Deduction in Geometry
Author: Xiao-Shan Gao
Publisher: Springer Science & Business Media
Total Pages: 297
Release: 1999-10-13
Genre: Computers
ISBN: 3540666729

The Second International Workshop on Automated Deduction in Geometry (ADG ’98) was held in Beijing, China, August 1–3, 1998. An increase of interest in ADG ’98 over the previous workshop ADG ’96 is represented by the notable number of more than 40 participants from ten countries and the strong tech- cal program of 25 presentations, of which two one-hour invited talks were given by Professors Wen-tsun ̈ Wu and Jing-Zhong Zhang. The workshop provided the participants with a well-focused forum for e?ective exchange of new ideas and timely report of research progress. Insight surveys, algorithmic developments, and applications in CAGD/CAD and computer vision presented by active - searchers, together with geometry software demos, shed light on the features of this second workshop. ADG ’98 was hosted by the Mathematics Mechanization Research Center (MMRC) with ?nancial support from the Chinese Academy of Sciences and the French National Center for Scienti?c Research (CNRS), and was organized by the three co-editors of this proceedings volume. The papers contained in the volume were selected, under a strict refereeing procedure, from those presented at ADG ’98 and submitted afterwards. Most of the 14 accepted papers were carefully revised and some of the revised versions were checked again by external reviewers. We hope that these papers cover some of the most recent and signi?cant research results and developments and re?ect the current state-of-the-art of ADG.

Maple in Mathematics Education and Research

Maple in Mathematics Education and Research
Author: Jürgen Gerhard
Publisher: Springer Nature
Total Pages: 367
Release: 2020-02-27
Genre: Computers
ISBN: 303041258X

This book constitutes the refereed proceedings of the third Maple Conference, MC 2019, held in Waterloo, Ontario, Canada, in October 2019. The 21 revised full papers and 9 short papers were carefully reviewed and selected out of 37 submissions, one invited paper is also presented in the volume. The papers included in this book cover topics in education, algorithms, and applciations of the mathematical software Maple.

Proceedings of the Sixth International Conference on Mathematics and Computing

Proceedings of the Sixth International Conference on Mathematics and Computing
Author: Debasis Giri
Publisher: Springer Nature
Total Pages: 567
Release: 2020-12-10
Genre: Technology & Engineering
ISBN: 9811580618

This book features selected papers from the 6th International Conference on Mathematics and Computing (ICMC 2020), organized by Sikkim University, Gangtok, Sikkim, India, during September 2020. It covers recent advances in the field of mathematics, statistics, and scientific computing. The book presents innovative work by leading academics, researchers, and experts from industry.

Dependable Software Engineering. Theories, Tools, and Applications

Dependable Software Engineering. Theories, Tools, and Applications
Author: Holger Hermanns
Publisher: Springer Nature
Total Pages: 448
Release: 2023-12-14
Genre: Computers
ISBN: 9819986648

This book constitutes the proceedings of the 9th International Symposium on Dependable Software Engineering, SETTA 2023, held in Nanjing, China, during November 27-29, 2023. The 24 full papers presented in this volume were carefully reviewed and selected from 78 submissions. They deal with latest research results and ideas on bridging the gap between formal methods and software engineering.

Geometric Computation

Geometric Computation
Author: Falai Chen
Publisher: World Scientific
Total Pages: 423
Release: 2004-03-29
Genre: Computers
ISBN: 9814482978

This book contains tutorial surveys and original research contributions in geometric computing, modeling, and reasoning. Highlighting the role of algebraic computation, it covers: surface blending, implicitization, and parametrization; automated deduction with Clifford algebra and in real geometry; and exact geometric computation. Basic techniques, advanced methods, and new findings are presented coherently, with many examples and illustrations. Using this book the reader will easily cross the frontiers of symbolic computation, computer aided geometric design, and automated reasoning. The book is also a valuable reference for people working in other relevant areas, such as scientific computing, computer graphics, and artificial intelligence.

Automated Deduction in Geometry

Automated Deduction in Geometry
Author: Jürgen Richter-Gebert
Publisher: Springer
Total Pages: 333
Release: 2003-06-29
Genre: Computers
ISBN: 3540454101

This book constitutes the thoroughly refereed post-proceedings of the Third International Workshop on Automated Deduction in Geometry, ADG 2000, held in Zurich, Switzerland, in September 2000.The 16 revised full papers and two invited papers presented were carefully selected for publication during two rounds of reviewing and revision from a total of initially 31 submissions. Among the issues addressed are spatial constraint solving, automated proving of geometric inequalities, algebraic proof, semi-algebraic proofs, geometrical reasoning, computational synthetic geometry, incidence geometry, and nonstandard geometric proofs.

Automated Deduction in Geometry

Automated Deduction in Geometry
Author: Pascal Schreck
Publisher: Springer
Total Pages: 268
Release: 2011-11-10
Genre: Computers
ISBN: 364225070X

This book constitutes the thoroughly refereed post-workshop proceedings of the 8th International Workshop on Automated Deduction in Geometry, ADG 2010, held in Munich, Germany in July 2010. The 13 revised full papers presented were carefully selected during two rounds of reviewing and improvement from the lectures given at the workshop. Topics addressed by the papers are incidence geometry using some kind of combinatoric argument; computer algebra; software implementation; as well as logic and proof assistants.

Proceedings of the Third Asian Technology Conference in Mathematics (ATCM'98)

Proceedings of the Third Asian Technology Conference in Mathematics (ATCM'98)
Author: Wei-Chi Yang
Publisher: Springer
Total Pages: 440
Release: 1998-09
Genre: Computers
ISBN:

Proceedings of the Asian Technology Conference in Mathematics (ATCM98) is a collection of works from researchers and teachers in education, mathematics and mathematical sciences using computer technology. The contents, which have been refereed by peer reviewers, cover a broad range of topics on the relevancy of technology in mathematical research and teaching. These include but are not limited to: 1. application of computer algebra systems in research and teaching; 2. computer-aided mathematics teaching; 3. distance learning through the WWW; 4. graphing calculators; 5. mathematical research and teaching using technology; 6. numerical analysis.