Generalized Polygons, Hendrik,van Maldeghem

Автор: Eugene Wachspress
Название: Rational Bases and Generalized Barycentrics
ISBN: 3319372203 ISBN-13(EAN): 9783319372204
Издательство: Springer
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Описание: Authored by the namesake of the Wachspress Coordinates, the book develops construction of basis functions for a broad class of elements which have widespread graphics and finite element application. Part one is the 1975 book "A Rational Finite Element Basis" (with minor updates and corrections) written by Dr. Wachspress.

Автор: Jacques Tits; Richard M. Weiss
Название: Moufang Polygons
ISBN: 3642078338 ISBN-13(EAN): 9783642078330
Издательство: Springer
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Описание: Spherical buildings are certain combinatorial simplicial complexes intro- duced, at first in the language of "incidence geometries," to provide a sys- tematic geometric interpretation of the exceptional complex Lie groups. (The definition of a building in terms of chamber systems and definitions of the various related notions used in this introduction such as "thick," "residue," "rank," "spherical," etc. are given in Chapter 39. ) Via the notion of a BN-pair, the theory turned out to apply to simple algebraic groups over an arbitrary field. More precisely, to any absolutely simple algebraic group of positive rela- tive rank is associated a thick irreducible spherical building of the same rank (these are the algebraic spherical buildings) and the main result of Buildings of Spherical Type and Finite BN-Pairs 101] is that the converse, for:::: 3, is almost true: (1. 1) Theorem. Every thick irreducible spherical building of rank at least three is classical, algebraic' or mixed. Classical buildings are those defined in terms of the geometry of a classical group (e. g. unitary, orthogonal, etc. of finite Witt index or linear of finite dimension) over an arbitrary field or skew-field. (These are not algebraic if, for instance, the skew-field is of infinite dimension over its center. ) Mixed buildings are more exotic; they are related to groups which are in some sense algebraic groups defined over a pair of fields k and K of characteristic p, where KP eke K and p is two or (in one case) three.

Автор: Botsch
Название: Polygon Mesh Processing
ISBN: 1568814267 ISBN-13(EAN): 9781568814261
Издательство: Taylor&Francis
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Описание: Describes the geometry processing pipeline based on polygonal meshes. This book introduces the fundamental concepts and discusses advanced techniques.

Автор: Jaroslav Ram?k; Milan Vlach
Название: Generalized Concavity in Fuzzy Optimization and Decision Analysis
ISBN: 146135577X ISBN-13(EAN): 9781461355779
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Convexity of sets in linear spaces, and concavity and convexity of functions, lie at the root of beautiful theoretical results that are at the same time extremely useful in the analysis and solution of optimization problems, including problems of either single objective or multiple objectives.