Intersecting Sets
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Intersecting Sets
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Author : Alice Major
language : en
Publisher: University of Alberta
Release Date : 2011-10-15
Intersecting Sets written by Alice Major and has been published by University of Alberta this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-15 with Biography & Autobiography categories.
Poet Alice Major was given a book on relativity at the impressionable age of ten, so she never quite understood why science came to be dismissed as reductive or opposite to art. She surveys the sciences of the past half-century -- from physical to cognitive to evolutionary -- to shed light on why and how human beings create poems, challenging some of the mantras of postmodern thought in the process. Part memoir, part ars poetica, part wonder-journey, Intersecting Sets is a wide-ranging and insightful amalgam.
Recteuler
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Author : Patrick Paetzold
language : en
Publisher:
Release Date : 2023
Recteuler written by Patrick Paetzold and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023 with categories.
Intersecting Convex Sets By Rays
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Author : Radoslav Fulek
language : en
Publisher:
Release Date : 2008
Intersecting Convex Sets By Rays written by Radoslav Fulek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Convex sets categories.
What is the smallest number tau=tau_d(n) such that for any collection C of n pairwise disjoint compact convex sets in Rd̂, there is a point such that any ray (half-line) emanating from it meets at most tau sets of the collection? We show an upper and several lower bounds on the value tau_d(n), and thereby we completely answer the above question for R2̂, and partially for higher dimensions. We show the order of magnitude for an analog of tau_2(n) for collections of fat sets with bounded diameter. We conclude the thesis with some algorithmic solutions for finding a point p that minimizes the maximum number of sets in C we are able to intersect by a ray emanating from p in the plane, and for finding a point that basically witnesses our upper bound on tau_d(n) in any dimension. However, the latter works only for restricted sets of objects.
Joins And Intersections
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Author : H. Flenner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Joins And Intersections written by H. Flenner 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 2013-06-29 with Mathematics categories.
Dedicated to the memory of Wolfgang Classical Intersection Theory (see for example Wei! [Wei]) treats the case of proper intersections, where geometrical objects (usually subvarieties of a non singular variety) intersect with the expected dimension. In 1984, two books appeared which surveyed and developed work by the individual authors, co workers and others on a refined version of Intersection Theory, treating the case of possibly improper intersections, where the intersection could have ex cess dimension. The first, by W. Fulton [Full] (recently revised in updated form), used a geometrical theory of deformation to the normal cone, more specifically, deformation to the normal bundle followed by moving the zero section to make the intersection proper; this theory was due to the author together with R. MacPherson and worked generally for intersections on algeb raic manifolds. It represents nowadays the standard approach to Intersection Theory. The second, by W. Vogel [Vogl], employed an algebraic approach to inter sections; although restricted to intersections in projective space it produced an intersection cycle by a simple and natural algorithm, thus leading to a Bezout theorem for improper intersections. It was developed together with J. Stiickrad and involved a refined version of the classical technique ofreduc tion to the diagonal: here one starts with the join variety and intersects with successive hyperplanes in general position, laying aside components which fall into the diagonal and intersecting the residual scheme with the next hyperplane; since all the hyperplanes intersect in the diagonal, the process terminates.
Combinatorics Of Finite Sets
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Author : Ian Anderson
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
Combinatorics Of Finite Sets written by Ian Anderson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
Coherent treatment provides comprehensive view of basic methods and results of the combinatorial study of finite set systems. The Clements-Lindstrom extension of the Kruskal-Katona theorem to multisets is explored, as is the Greene-Kleitman result concerning k-saturated chain partitions of general partially ordered sets. Connections with Dilworth's theorem, the marriage problem, and probability are also discussed. Each chapter ends with a helpful series of exercises and outline solutions appear at the end. "An excellent text for a topics course in discrete mathematics." — Bulletin of the American Mathematical Society.
Proofs From The Book
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Author : Martin Aigner
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Proofs From The Book written by Martin Aigner 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 2013-06-29 with Mathematics categories.
According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Elements Of The Topology Of Plane Sets Of Points
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Author : Maxwell Herman Alexander Newman (mathématicien).)
language : en
Publisher: CUP Archive
Release Date : 1951
Elements Of The Topology Of Plane Sets Of Points written by Maxwell Herman Alexander Newman (mathématicien).) and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1951 with categories.
Official Gazette Of The United States Patent Office
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Author : United States. Patent Office
language : en
Publisher:
Release Date : 1942
Official Gazette Of The United States Patent Office written by United States. Patent Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1942 with Patents categories.
Extremal Finite Set Theory
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Author : Daniel Gerbner
language : en
Publisher: CRC Press
Release Date : 2018-10-12
Extremal Finite Set Theory written by Daniel Gerbner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-12 with Mathematics categories.
Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method, profile polytopes, incidence matrices, flag algebras, etc.) used in the different subtopics. The book focuses on the cardinality of a family of sets satisfying certain combinatorial properties. It covers recent progress in the subject of set systems and extremal combinatorics. Intended for graduate students, instructors teaching extremal combinatorics and researchers, this book serves as a sound introduction to the theory of extremal set systems. In each of the topics covered, the text introduces the basic tools used in the literature. Every chapter provides detailed proofs of the most important results and some of the most recent ones, while the proofs of some other theorems are posted as exercises with hints. Features: Presents the most basic theorems on extremal set systems Includes many proof techniques Contains recent developments The book’s contents are well suited to form the syllabus for an introductory course About the Authors: Dániel Gerbner is a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences in Budapest, Hungary. He holds a Ph.D. from Eötvös Loránd University, Hungary and has contributed to numerous publications. His research interests are in extremal combinatorics and search theory. Balázs Patkós is also a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences. He holds a Ph.D. from Central European University, Budapest and has authored several research papers. His research interests are in extremal and probabilistic combinatorics.
Extremal Combinatorics
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Author : Stasys Jukna
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-12
Extremal Combinatorics written by Stasys Jukna 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 2001-06-12 with Computers categories.
This is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and informative proofs which may be called the gems of the theory. A wide spectrum of the most powerful combinatorial tools is presented, including methods of extremal set theory, the linear algebra method, the probabilistic method and fragments of Ramsey theory. A thorough discussion of recent applications to computer science illustrates the inherent usefulness of these methods.