Farey Sequences
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Farey Sequences
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Author : Andrey O. Matveev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-11-07
Farey Sequences written by Andrey O. Matveev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-07 with Mathematics categories.
As a first comprehensive overview on Farey sequences and subsequences, this monograph is intended as a reference for anyone looking for specific material or formulas related to the subject. Duality of subsequences and maps between them are discussed and explicit proofs are shown in detail. From the Content Basic structural and enumerative properties of Farey sequences, Collective decision making, Committee methods in pattern recognition, Farey duality, Farey sequence, Fundamental Farey subsequences, Monotone bijections between Farey subsequences
Farey Sequences
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Author : Glenda Carol Dalton Chapman
language : en
Publisher:
Release Date : 1984
Farey Sequences written by Glenda Carol Dalton Chapman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Number theory categories.
A Motif Of Mathematics
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Author : Scott B. Guthery
language : en
Publisher: Docent Press
Release Date : 2011
A Motif Of Mathematics written by Scott B. Guthery and has been published by Docent Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
The curious property that John Farey observed in one of Henry Goodwyn's tables has enduring pratical and theoretic interest. This book traces the curious property, the mediant, from its initial sighting by Nicolas Chuquet and Charles Haros to its connection to the Riemann hypothesis by Jerome Franel.
On Dirichlet Series Related To Farey Sequences
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Author : Matthias Kunik
language : en
Publisher:
Release Date : 2018
On Dirichlet Series Related To Farey Sequences written by Matthias Kunik and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
Applications Of Dynamical Systems To Farey Sequences And Continued Fractions
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Author : Byron Nicholas Heersink
language : en
Publisher:
Release Date : 2017
Applications Of Dynamical Systems To Farey Sequences And Continued Fractions written by Byron Nicholas Heersink and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with categories.
Algorithms Esa 2007
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Author : Lars Arge
language : en
Publisher: Springer
Release Date : 2007-09-17
Algorithms Esa 2007 written by Lars Arge and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-17 with Computers categories.
This book constitutes the refereed proceedings of the 15th Annual European Symposium on Algorithms, ESA 2007, held in Eilat, Israel, in October 2007 in the context of the combined conference ALGO 2007. The 63 revised full papers presented together with abstracts of three invited lectures address all current subjects in algorithmics reaching from design and analysis issues of algorithms over to real-world applications and engineering of algorithms in various fields.
Numbers And Figures
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Author : Giancarlo Travaglini
language : en
Publisher: American Mathematical Society
Release Date : 2023-05-31
Numbers And Figures written by Giancarlo Travaglini and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-31 with Mathematics categories.
One of the great charms of mathematics is uncovering unexpected connections. In Numbers and Figures, Giancarlo Travaglini provides six conversations that do exactly that by talking about several topics in elementary number theory and some of their connections to geometry, calculus, and real-life problems such as COVID-19 vaccines or fiscal frauds. Each conversation is in two parts—an introductory essay which provides a gentle introduction to the topic and a second section that delves deeper and requires study by the reader. The topics themselves are extremely appealing and include, for example, Pick's theorem, Simpson's paradox, Farey sequences, the Frobenius problem, and Benford's Law. Numbers and Figures will be a useful resource for college faculty teaching Elementary Number Theory or Calculus. The chapters are largely independent and could make for nice course-ending projects or even lead-ins to high school or undergraduate research projects. The whole book would make for an enjoyable semester-long independent reading course. Faculty will find it entertaining bedtime reading and, last but not least, readers more generally will be interested in this book if they miss the accuracy and imagination found in their high school and college math courses.
The Farey Sequence
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Author : Sara A. Vance
language : en
Publisher:
Release Date : 1986
The Farey Sequence written by Sara A. Vance and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Series, Farey categories.
Mathematical Diamonds
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Author : Ross Honsberger
language : en
Publisher: Cambridge University Press
Release Date : 2003-05-15
Mathematical Diamonds written by Ross Honsberger 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 2003-05-15 with Mathematics categories.
Collection of elementary mathematical problems with solutions. Ideal for students, teachers and general readers.
Pattern Recognition On Oriented Matroids
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Author : Andrey O. Matveev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-09-11
Pattern Recognition On Oriented Matroids written by Andrey O. Matveev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-11 with Mathematics categories.
Pattern Recognition on Oriented Matroids covers a range of innovative problems in combinatorics, poset and graph theories, optimization, and number theory that constitute a far-reaching extension of the arsenal of committee methods in pattern recognition. The groundwork for the modern committee theory was laid in the mid-1960s, when it was shown that the familiar notion of solution to a feasible system of linear inequalities has ingenious analogues which can serve as collective solutions to infeasible systems. A hierarchy of dialects in the language of mathematics, for instance, open cones in the context of linear inequality systems, regions of hyperplane arrangements, and maximal covectors (or topes) of oriented matroids, provides an excellent opportunity to take a fresh look at the infeasible system of homogeneous strict linear inequalities – the standard working model for the contradictory two-class pattern recognition problem in its geometric setting. The universal language of oriented matroid theory considerably simplifies a structural and enumerative analysis of applied aspects of the infeasibility phenomenon. The present book is devoted to several selected topics in the emerging theory of pattern recognition on oriented matroids: the questions of existence and applicability of matroidal generalizations of committee decision rules and related graph-theoretic constructions to oriented matroids with very weak restrictions on their structural properties; a study (in which, in particular, interesting subsequences of the Farey sequence appear naturally) of the hierarchy of the corresponding tope committees; a description of the three-tope committees that are the most attractive approximation to the notion of solution to an infeasible system of linear constraints; an application of convexity in oriented matroids as well as blocker constructions in combinatorial optimization and in poset theory to enumerative problems on tope committees; an attempt to clarify how elementary changes (one-element reorientations) in an oriented matroid affect the family of its tope committees; a discrete Fourier analysis of the important family of critical tope committees through rank and distance relations in the tope poset and the tope graph; the characterization of a key combinatorial role played by the symmetric cycles in hypercube graphs. Contents Oriented Matroids, the Pattern Recognition Problem, and Tope Committees Boolean Intervals Dehn–Sommerville Type Relations Farey Subsequences Blocking Sets of Set Families, and Absolute Blocking Constructions in Posets Committees of Set Families, and Relative Blocking Constructions in Posets Layers of Tope Committees Three-Tope Committees Halfspaces, Convex Sets, and Tope Committees Tope Committees and Reorientations of Oriented Matroids Topes and Critical Committees Critical Committees and Distance Signals Symmetric Cycles in the Hypercube Graphs