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Author : Herbert Edelsbrunner
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (897 download)
Download or read book Arrangements of Curves in the Plane written by Herbert Edelsbrunner and published by . This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Herbert Edelsbrunner
Publisher : Forgotten Books
ISBN 13 : 9780656301829
Total Pages : 26 pages
Book Rating : 4.3/5 (18 download)
Download or read book Arrangements of Curves in the Plane Topology, Combinatorics, and Algorithms (Classic Reprint) written by Herbert Edelsbrunner and published by Forgotten Books. This book was released on 2018-02-11 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Arrangements of Curves in the Plane Topology, Combinatorics, and Algorithms Theorem. Let A be an arrangement of 11 lines and let I be another line. Then the total number of edges bounding the faces of A that intersect I is O(u). We refer to the collection of all these edges as the zone of I in A. One useful application of this theorem is that it facilitates the construction of the arrangement ahi of u+1 lines from the arrangement An of the first 71 lines in linear time as follows. Assume without loss of generality that I =in+1 is the z - axis. First find the leftmost unbounded face of A crossed by I. Next process the faces of An crossed by I from left to right. At each such face I find the rightmost point of 10 f this will determine the next face I of An crossed by I and the process is then repeated for f'. The crossing points of I with the boundaries of the faces in An are found by traversing all edges in the zone of I; the number of such edges is O(u) by the Zone Theorem. For each of these faces f the algorithm also splits f into two new faces in Au, and updates (also in linear time) the planar map representation of the arrangement. The resulting sequence of incremental updates yields an overall optimal C(uz) algorithm for the calculation of arrangements of 11 lines. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : HERBERT. EDELSBRUNNER
Publisher :
ISBN 13 : 9781033833803
Total Pages : 0 pages
Book Rating : 4.8/5 (338 download)
Download or read book ARRANGEMENTS OF CURVES IN THE PLANE TOPOLOGY, COMBINATORICS, AND ALGORITHMS. written by HERBERT. EDELSBRUNNER and published by . This book was released on 2018 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Virginia Ragsdale
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.3/5 (91 download)
Download or read book On the Arrangement of the Real Branches of Plane Algebraic Curves written by Virginia Ragsdale and published by . This book was released on 1906 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerd Fischer
Publisher : American Mathematical Soc.
ISBN 13 : 0821821229
Total Pages : 249 pages
Book Rating : 4.8/5 (218 download)
Download or read book Plane Algebraic Curves written by Gerd Fischer and published by American Mathematical Soc.. This book was released on 2001 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an excellent introduction to algebraic geometry, which assumes only standard undergraduate mathematical topics: complex analysis, rings and fields, and topology. Reading this book will help establish the geometric intuition that lies behind the more advanced ideas and techniques used in the study of higher-dimensional varieties.
Author : José Ignacio Cogolludo-Agustín
Publisher : American Mathematical Soc.
ISBN 13 : 0821829424
Total Pages : 97 pages
Book Rating : 4.8/5 (218 download)
Download or read book Topological Invariants of the Complement to Arrangements of Rational Plane Curves written by José Ignacio Cogolludo-Agustín and published by American Mathematical Soc.. This book was released on 2002 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors analyse two topological invariants of an embedding of an arrangement of rational plane curves in the projective complex plane, namely, the cohomology ring of the complement and the characteristic varieties. Their main result states that the cohomology ring of the complement to a rational arrangement is generated by logarithmic 1 and 2-forms and its structure depends on a finite number of invariants of the curve (its combinatorial type).
Author : Stefan Näher
Publisher : Springer Science & Business Media
ISBN 13 : 3540446915
Total Pages : 251 pages
Book Rating : 4.5/5 (44 download)
Download or read book Algorithm Engineering written by Stefan Näher and published by Springer Science & Business Media. This book was released on 2007-06-03 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers accepted for the 4th Workshop on Algorithm Engineering (WAE 2000) held in Saarbruc ̈ ken, Germany, during 5–8 September 2000, together with the abstract of the invited lecture given by Karsten Weihe. The Workshop on Algorithm Engineering covers research on all aspects of the subject. The goal is to present recent research results and to identify and explore directions for future research. Previous meetings were held in Venice (1997), Saarbruc ̈ ken (1998), and London (1999). Papers were solicited describing original research in all aspects of algorithm engineering, including: – Development of software repositories and platforms which allow the use of and experimentation with e?cient discrete algorithms. – Novel uses of discrete algorithms in other disciplines and the evaluation of algorithms for realistic environments. – Methodological issues including standards in the context of empirical - search on algorithms and data structures. – Methodological issues regarding the process of converting user requirements into e?cient algorithmic solutions and implementations. The program committee accepted 16 from a total of 30 submissions. The program committee meeting was conducted electronically. The criteria for sel- tion were originality, quality, and relevance to the subject area of the workshop. Considerable e?ort was devoted to the evaluation of the submissions and to p- viding the authors with feedback. Each submission was reviewed by at least four program committee members (assisted by subreferees). A special issue of the ACM Journal of Experimental Algorithmics will be devoted to selected papers from WAE 2000.
Author : Branko Grnbaum
Publisher : American Mathematical Soc.
ISBN 13 : 0821816594
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)
Download or read book Arrangements and Spreads written by Branko Grnbaum and published by American Mathematical Soc.. This book was released on 1972-12-31 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Efi Fogel
Publisher : Springer Science & Business Media
ISBN 13 : 3642172830
Total Pages : 307 pages
Book Rating : 4.6/5 (421 download)
Download or read book CGAL Arrangements and Their Applications written by Efi Fogel and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arrangements of curves constitute fundamental structures that have been intensively studied in computational geometry. Arrangements have numerous applications in a wide range of areas – examples include geographic information systems, robot motion planning, statistics, computer-assisted surgery and molecular biology. Implementing robust algorithms for arrangements is a notoriously difficult task, and the CGAL arrangements package is the first robust, comprehensive, generic and efficient implementation of data structures and algorithms for arrangements of curves. This book is about how to use CGAL two-dimensional arrangements to solve problems. The authors first demonstrate the features of the arrangement package and related packages using small example programs. They then describe applications, i.e., complete standalone programs written on top of CGAL arrangements used to solve meaningful problems – for example, finding the minimum-area triangle defined by a set of points, planning the motion of a polygon translating among polygons in the plane, computing the offset polygon, finding the largest common point sets under approximate congruence, constructing the farthest-point Voronoi diagram, coordinating the motion of two discs moving among obstacles in the plane, and performing Boolean operations on curved polygons. The book contains comprehensive explanations of the solution programs, many illustrations, and detailed notes on further reading, and it is supported by a website that contains downloadable software and exercises. It will be suitable for graduate students and researchers involved in applied research in computational geometry, and for professionals who require worked-out solutions to real-life geometric problems. It is assumed that the reader is familiar with the C++ programming-language and with the basics of the generic-programming paradigm.
Author : Vladimir P. Gerdt
Publisher : Springer
ISBN 13 : 3319105159
Total Pages : 515 pages
Book Rating : 4.3/5 (191 download)
Download or read book Computer Algebra in Scientific Computing written by Vladimir P. Gerdt and published by Springer. This book was released on 2014-09-01 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 16th International Workshop on Computer Algebra in Scientific Computing, CASC 2014, held in Warsaw, Poland, in September 2014. The 33 full papers presented were carefully reviewed and selected for inclusion in this book. The papers address issues such as Studies in polynomial algebra are represented by contributions devoted to factoring sparse bivariate polynomials using the priority queue, the construction of irreducible polynomials by using the Newton index, real polynomial root finding by means of matrix and polynomial iterations, application of the eigenvalue method with symmetry for solving polynomial systems arising in the vibration analysis of mechanical structures with symmetry properties, application of Gröbner systems for computing the (absolute) reduction number of polynomial ideals, the application of cylindrical algebraic decomposition for solving the quantifier elimination problems, certification of approximate roots of overdetermined and singular polynomial systems via the recovery of an exact rational univariate representation from approximate numerical data, new parallel algorithms for operations on univariate polynomials (multi-point evaluation, interpolation) based on subproduct tree techniques.
Author : Timo Lepistö
Publisher : Springer Science & Business Media
ISBN 13 : 9783540194880
Total Pages : 762 pages
Book Rating : 4.1/5 (948 download)
Download or read book Automata, Languages and Programming written by Timo Lepistö and published by Springer Science & Business Media. This book was released on 1988 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of ICALP 88, held at Tampere University of Technology, Finland, July 11-15, 1988. ICALP 88 is the 15th International Colloquium on Automata, Languages and Programming in a series of meetings sponsored by the European Association for Theoretical Computer Science (EATCS). It is a broadly based conference covering all aspects of theoretical computer science including topics such as computability, automata, formal languages, analysis of algorithms, computational complexity, data types and data structures, theory of data bases and knowledge bases, semantics of programming languages, program specification, transformation and verification, foundations of logic programming, theory of logical design and layout, parallel and distributed computation, theory of concurrency, symbolic and algebraic computation, term rewriting systems, cryptography, and theory of robotics.
Author : C. T. C. Wall
Publisher : Cambridge University Press
ISBN 13 : 9780521547741
Total Pages : 386 pages
Book Rating : 4.5/5 (477 download)
Download or read book Singular Points of Plane Curves written by C. T. C. Wall and published by Cambridge University Press. This book was released on 2004-11-15 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Author : Rolf H. Möhring
Publisher : Springer Science & Business Media
ISBN 13 : 3540441808
Total Pages : 941 pages
Book Rating : 4.5/5 (44 download)
Download or read book Algorithms - ESA 2002 written by Rolf H. Möhring and published by Springer Science & Business Media. This book was released on 2002-09-02 with total page 941 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th Annual European Symposium on Algorithms, ESA 2002, held in Rome, Italy, in September 2002. The 74 revised full papers presented were carefully reviewed and selected from a total of 201 submissions. The papers address all current issues in Algorithmics, in particular computational biology, computational finance, computational geometry, databases and information retrieval, external memory algorithms, graph and network algorithms, graph drawing, algorithmic learning, network design, online algorithms, parallel and distributed computing, pattern matching, data compression, quantum computing, randomized algorithms, and symbolic computation.
Author : Virginia Ragsdale
Publisher : Legare Street Press
ISBN 13 : 9781020403200
Total Pages : 0 pages
Book Rating : 4.4/5 (32 download)
Download or read book On The Arrangement Of The Real Branches Of Plane Algebraic Curves written by Virginia Ragsdale and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A foundational work in the study of plane algebraic curves and their real branches, including solutions to complex equations and geometric constructions. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Henry Seely White
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.F/5 ( download)
Download or read book Plane Curves of the Third Order written by Henry Seely White and published by . This book was released on 1925 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jaroslav Nešetřil
Publisher : Springer Science & Business Media
ISBN 13 : 887642475X
Total Pages : 600 pages
Book Rating : 4.8/5 (764 download)
Download or read book The Seventh European Conference on Combinatorics, Graph Theory and Applications written by Jaroslav Nešetřil and published by Springer Science & Business Media. This book was released on 2014-01-18 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the tradition of EuroComb'01 (Barcelona), Eurocomb'03 (Prague), EuroComb'05 (Berlin), Eurocomb'07 (Seville), Eurocomb'09 (Bordeaux), and Eurocomb'11 (Budapest), this volume covers recent advances in combinatorics and graph theory including applications in other areas of mathematics, computer science and engineering. Topics include, but are not limited to: Algebraic combinatorics, combinatorial geometry, combinatorial number theory, combinatorial optimization, designs and configurations, enumerative combinatorics, extremal combinatorics, ordered sets, random methods, topological combinatorics.
Author : Thomas Henry Eagles
Publisher :
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.3/5 (21 download)
Download or read book Constructive Geometry of Plane Curves written by Thomas Henry Eagles and published by . This book was released on 1885 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt:
