Arbitrary Lines
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Mechanical Theorem Proving In Geometries
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Author : Wen-tsün Wu
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mechanical Theorem Proving In Geometries written by Wen-tsün Wu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
There seems to be no doubt that geometry originates from such practical activ ities as weather observation and terrain survey. But there are different manners, methods, and ways to raise the various experiences to the level of theory so that they finally constitute a science. F. Engels said, "The objective of mathematics is the study of space forms and quantitative relations of the real world. " Dur ing the time of the ancient Greeks, there were two different methods dealing with geometry: one, represented by the Euclid's "Elements," purely pursued the logical relations among geometric entities, excluding completely the quantita tive relations, as to establish the axiom system of geometry. This method has become a model of deduction methods in mathematics. The other, represented by the relevant work of Archimedes, focused on the study of quantitative re lations of geometric objects as well as their measures such as the ratio of the circumference of a circle to its diameter and the area of a spherical surface and of a parabolic sector. Though these approaches vary in style, have their own features, and reflect different viewpoints in the development of geometry, both have made great contributions to the development of mathematics. The development of geometry in China was all along concerned with quanti tative relations.
Principles Of Geometry
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Author : H. F. Baker
language : en
Publisher: CUP Archive
Release Date : 2011-07-05
Principles Of Geometry written by H. F. Baker and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-05 with Mathematics categories.
A benchmark study of projective geometry and the birational theory of surfaces, first published between 1922 and 1925.
The Collected Mathematical Papers
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Author : Arthur Cayley (mathématicien)
language : en
Publisher:
Release Date : 1897
The Collected Mathematical Papers written by Arthur Cayley (mathématicien) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1897 with categories.
Elements Of 3d Seismology Third Edition
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Author : Christopher L. Liner
language : en
Publisher: SEG Books
Release Date : 2016-10-15
Elements Of 3d Seismology Third Edition written by Christopher L. Liner and has been published by SEG Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-15 with Science categories.
Elements of 3D Seismology, third edition is a thorough introduction to the acquisition, processing, and interpretation of 3D seismic data. This third edition is a major update of the second edition. Sections dealing with interpretation have been greatly revised in accordance with improved understanding and availability of data and software. Practice exercises have been added, as well as a 3D seismic survey predesign exercise. Discussions include: conceptual and historical foundations of modern reflection seismology; an overview of seismic wave phenomena in acoustic, elastic, and porous media; acquisition principles for land and marine seismic surveys; methods used to create 2D and 3D seismic images from field data; concepts of dip moveout, prestack migration, and depth migration; concepts and limitations of 3D seismic interpretation for structure, stratigraphy, and rock property estimation; and the interpretation role of attributes, impedance estimation, and AVO. This book is intended as a general text on reflection seismology, including wave propagation, data acquisition, processing, and interpretation and will be of interest to entry-level geophysicists, experts in related fields (geology, petroleum engineering), and experienced geophysicists in one subfield wishing to learn about another (e.g., interpreters wanting to learn about seismic waves or data acquisition).
Introduction To Projective Geometry
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Author : C. R. Wylie
language : en
Publisher: Courier Corporation
Release Date : 2011-09-12
Introduction To Projective Geometry written by C. R. Wylie and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-12 with Mathematics categories.
This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in nature but characterized by a different set of distance- and angle-measurement formulas. Outstanding pedagogical features include worked-through examples, introductions and summaries for each topic, and numerous theorems, proofs, and exercises that reinforce each chapter's precepts. Two helpful indexes conclude the text, along with answers to all odd-numbered exercises. In addition to its value to undergraduate students of mathematics, computer science, and secondary mathematics education, this volume provides an excellent reference for computer science professionals.
Near Polygons
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Author : Bart de Bruyn
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-11
Near Polygons written by Bart de Bruyn and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-11 with Mathematics categories.
Near polygons were introduced about 25 years ago and studied intensively in the 1980s. In recent years the subject has regained interest. This monograph gives an extensive overview of the basic theory of general near polygons. The first part of the book includes a discussion of the classes of dense near polygons, regular near polygons, and glued near polygons. Also valuations, one of the most important tools for classifying dense near polygons, are treated in detail. The second part of the book discusses the classification of dense near polygons with three points per line. The book is self-contained and almost all theorems are accompanied with proofs. Several new results are presented. Many known results occur in a more general form and the proofs are often more streamlined than their original versions. The volume is aimed at advanced graduate students and researchers in the fields of combinatorics and finite geometry.
3d Structure From Multiple Images Of Large Scale Environments
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Author : Reinhard Koch
language : en
Publisher: Springer
Release Date : 2003-05-20
3d Structure From Multiple Images Of Large Scale Environments written by Reinhard Koch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-20 with Computers categories.
This book constitutes the strictly refereed post-workshop proceedings of the European Workshop on 3D Structure from Multiple Images of Large-Scale Environments, SMILE'98, held in conjunction with ECCV'98 in Freiburg, Germany, in June 1998. The 21 revised full papers presented went through two cycles of reviewing and were carefully selected for inclusion in the book. The papers are organized in sections on multiview relations and correspondence search, 3D structure from multiple images, callibration and reconstruction using scene constraints, range integration and augmented reality application.
Proceedings Of The London Mathematical Society
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Author : London Mathematical Society
language : en
Publisher:
Release Date : 1879
Proceedings Of The London Mathematical Society written by London Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1879 with Electronic journals categories.
"Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965.
Proceedings Of The London Mathematical Society
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Author :
language : en
Publisher:
Release Date : 1875
Proceedings Of The London Mathematical Society written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1875 with categories.
Dual Quaternions And Their Associated Clifford Algebras
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Author : Ronald Goldman
language : en
Publisher: CRC Press
Release Date : 2023-09-29
Dual Quaternions And Their Associated Clifford Algebras written by Ronald Goldman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-29 with Computers categories.
Clifford algebra for dual quaternions has emerged recently as an alternative to standard matrix algebra as a computational framework for computer graphics. This book presents dual quaternions and their associated Clifford algebras in a new light, accessible to and geared toward the computer graphics community. Collecting all the associated formulas and theorems in one place, this book provides an extensive and rigorous treatment of dual quaternions, as well as showing how two models of Clifford algebra emerge naturally from the theory of dual quaternions. Each section comes complete with a set of exercises to help readers sharpen and practice their understanding. This book is accessible to anyone with a basic knowledge of quaternion algebra and is of particular use to forward-thinking members of the computer graphics community.