Intersecting Sets

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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.

Connectedness And Necessary Conditions For An Extremum

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Author : Alexey Abramov
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-03-31

Connectedness And Necessary Conditions For An Extremum written by Alexey Abramov 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 1998-03-31 with Mathematics categories.

The present book is the outcome of efforts to introduce topological connectedness as one of the basic tools for the study of necessary conditions for an extremum. Apparently this monograph is the first book in the theory of maxima and minima where topological connectedness is used so widely for this purpose. Its application permits us to obtain new results in this sphere and to consider the classical results from a nonstandard point of view. Regarding the style of the present book it should be remarked that it is comparatively elementary. The author has made constant efforts to make the book as self-contained as possible. Certainly, familiarity with the basic facts of topology, functional analysis, and the theory of optimization is assumed. The book is written for applied mathematicians and graduate students interested in the theory of optimization and its applications. We present the synthesis of the well known Dybovitskii'-Milyutin ap proach for the study of necessary conditions for an extremum, based on functional analysis, and topological methods. This synthesis allows us to show that in some cases we have the following important result: if the Euler equation has no non trivial solution at a point of an extremum, then some inclusion is valid for the functionals belonging to the dual space. This general result is obtained for an optimization problem considered in a lin ear topological space. We also show an application of our result to some problems of nonlinear programming and optimal control.

Foundations Of Point Set Theory

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Author : Robert Lee Moore
language : en
Publisher: American Mathematical Soc.
Release Date : 1932-12-31

Foundations Of Point Set Theory written by Robert Lee Moore and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1932-12-31 with Mathematics categories.

Finite And Infinite Sets

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Author : A. Hajnal
language : en
Publisher: Elsevier
Release Date : 2014-05-15

Finite And Infinite Sets written by A. Hajnal and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-15 with Mathematics categories.

Colloquia Mathematica Societatis Jânos Bolyai, 37: Finite and Infinite Sets, Vol. I focuses on the principles, operations, and approaches involved in finite and infinite sets. The selection first elaborates on essential chains and squares, cellular automata in trees, almost disjoint families of countable sets, and application of Lovasz local lemma. Discussions focus on deleting operations, number of all and self-dual E-chains, transversality of E-chains and E-squares, and binary E-chains and E-squares. The text then elaborates on induced subgraphs, inverse extremal digraph problems, two Sperner-type conditions, and minimal decomposition of all graphs with equinumerous vertices and edges into mutually isomorphic subgraphs. Topics include general digraph extremal problem, matrix graphs and quadratic forms, augmentation of matrices, set of attained densities, proof of the continuity theorem, and inverse extremal multigraph problems. The text examines circular flows in graphs, two-colorings of simple arrangements, monochromatic paths in infinite colored graphs, and graphs associated with an integral domain and their applications. The selection is a dependable reference for researchers interested in finite and infinite sets.

Ganit Mathematics 8

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Author : Lata Wishram
language : en
Publisher: Vikas Publishing House
Release Date :

Ganit Mathematics 8 written by Lata Wishram and has been published by Vikas Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

GANIT MATHEMATICS series consists of ten textbooks; two textbooks for Primer A and B, eight textbooks for classes 1-8. This series is strictly bases on the syllabus prescribed by the Council for the Indian School Certificate. The series has been developed to guide the young minds to observe and experience mathematics all around them. Each concept has been related to everyday life in order to develop a spirit of curiosity and discovery. Concepts are gradually built up with easy-to-follow steps and plenty of examples.

Erdos Ko Rado Theorems Algebraic Approaches

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Author : Christopher Godsil
language : en
Publisher: Cambridge University Press
Release Date : 2016

Erdos Ko Rado Theorems Algebraic Approaches written by Christopher Godsil and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.

Graduate text focusing on algebraic methods that can be applied to prove the Erdős-Ko-Rado Theorem and its generalizations.

Intersections Of Thick Cantor Sets

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Author : Roger Kraft
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Intersections Of Thick Cantor Sets written by Roger Kraft and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

The concept of thickness assigns to every Cantor set in the real line a number from 0 to [infinity symbol]. It was known that for some pairs of numbers the intersection of Cantor sets with such numbers as thicknesses may be just one point and that, in some other cases, with certain conditions, the intersection must contain a Cantor set. The author gives a complete answer to the problem of determining all pairs of thicknesses for which the intersection may be a single point and all the pairs of thicknesses for which the intersection must contain a Cantor set. He also considers the problem of how often, as one Cantor set is being translated over another one, the intersection of the two Cantor sets contains a Cantor set.

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Author :
language : en
Publisher: Arihant Publications India limited
Release Date :

written by and has been published by Arihant Publications India limited this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Ganit Mathematics 7

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Author : Lata Wishram
language : en
Publisher: Vikas Publishing House
Release Date :

Ganit Mathematics 7 written by Lata Wishram and has been published by Vikas Publishing House this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

GANIT MATHEMATICS series consists of ten textbooks; two textbooks for Primer A and B, eight textbooks for classes 1-8. This series is strictly bases on the syllabus prescribed by the Council for the Indian School Certificate. The series has been developed to guide the young minds to observe and experience mathematics all around them. Each concept has been related to everyday life in order to develop a spirit of curiosity and discovery. Concepts are gradually built up with easy-to-follow steps and plenty of examples.

Combinatorics

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Author : Béla Bollobás
language : en
Publisher: Cambridge University Press
Release Date : 1986-07-31

Combinatorics written by Béla Bollobás and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-07-31 with Mathematics categories.

Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates.