Symmetric Cycles
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Symmetric Cycles
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Author : Andrey O. Matveev
language : en
Publisher: CRC Press
Release Date : 2023-10-06
Symmetric Cycles written by Andrey O. Matveev and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-06 with Mathematics categories.
This original research monograph concerns various aspects of how (based on the decompositions of vertices of hypercube graphs with respect to their symmetric cycles) the vertex sets of related discrete hypercubes, as well as the power sets of the corresponding ground sets, emerge from rank 2 oriented matroids, from underlying rank 2 systems of linear inequalities, and thus literally from arrangements of straight lines crossing a common point on a piece of paper. It reveals some beautiful and earlier-hidden fragments in the true foundations of discrete mathematics. The central observation made and discussed in the book from various viewpoints consists in that 2t subsets of a finite t-element set Et, which form in a natural way a cyclic structure (well, just t subsets that are the vertices of a path in the cycle suffice), allow us to construct any of 2t subsets of the set Et by means of a more than elementary voting procedure expressed in basic linear algebraic terms. The monograph will be of interest to researchers, students, and readers in the fields of discrete mathematics, theoretical computer science, Boolean function theory, enumerative combinatorics and combinatorics on words, combinatorial optimization, coding theory, and discrete and computational geometry.
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
Automatic Algorithm Recognition And Replacement
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Author : Robert Metzger
language : en
Publisher: MIT Press
Release Date : 2000-06-02
Automatic Algorithm Recognition And Replacement written by Robert Metzger and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-02 with Computers categories.
This book describes a fundamentally new theoretical framework for finding poor algorithms in an application program and replacing them with ones that parallelize the code. Parallel computation will become the norm in the coming decades. Unfortunately, advances in parallel hardware have far outpaced parallel applications of software. There are currently two approaches to applying parallelism to applications. One is to write completely new applications in new languages. But abandoning applications that work is unacceptable to most nonacademic users of high-performance computers. The other approach is to convert existing applications to a parallel form. This can be done manually or automatically. Even partial success in doing the job automatically has obvious economic advantages. This book describes a fundamentally new theoretical framework for finding poor algorithms in an application program and replacing them with ones that parallelize the code.
Stereochemical And Stereophysical Behaviour Of Macrocycles
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Author : Bozzano G Luisa
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Stereochemical And Stereophysical Behaviour Of Macrocycles written by Bozzano G Luisa and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Stereochemical and Stereophysical Behavior of Macrocycles deals with the stereochemical and stereophysical properties of macrocyclic ligands and their coordination compounds. More specifically, the stereochemistry of metallic macrocyclics is discussed, along with the relationship between the thermodynamics and stereochemistry of macrocyclics and cryptates. The stereochemical aspects of the macrocycles of second and third row transition elements are also examined. Comprised of three chapters, this volume begins with an introduction to the stereochemistry of metallic macrocyclics as well as their structure, together with the conformation of their chemical rings and the steric effects of their coordination geometry. The next chapter considers the relationship between the thermodynamics and stereochemistry of macrocyclics and cryptates, with particular reference to the macrocyclic and cryptate effect. Cation-ligand interactions and solvent effects upon complex formation are described, along with macrocyclic and macrobicyclic ligands having different donor atoms. The final chapter is devoted to the stereochemical aspects of the macrocycles of transition metal ions, with additional comments on the stereochemistry of copper and nickel in unusual oxidation states. This book will be of interest to inorganic chemists.
Principles And Practice Of Constraint Programming Cp 2011
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Author : Jimmy Lee
language : en
Publisher: Springer
Release Date : 2011-09-01
Principles And Practice Of Constraint Programming Cp 2011 written by Jimmy Lee and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-01 with Computers categories.
This book constitutes the refereed proceedings of the 17th International Conference on Principles and Practice of Constraint Programming, CP 2011, held in Perugia, Italy, September 12-16, 2011. The 51 revised full papers and 7 short papers presented together with three invited talks were carefully reviewed and selected from 159 submissions. The papers are organized in topical sections on algorithms, environments, languages, models and systems, applications such as decision making, resource allocation and agreement technologies.
Reversible Systems
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Author : Mikhail B. Sevryuk
language : en
Publisher: Springer
Release Date : 2006-11-14
Reversible Systems written by Mikhail B. Sevryuk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1967
Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics categories.
Analysis Verification And Transformation For Declarative Programming And Intelligent Systems
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Author : Pedro Lopez-Garcia
language : en
Publisher: Springer Nature
Release Date : 2023-05-16
Analysis Verification And Transformation For Declarative Programming And Intelligent Systems written by Pedro Lopez-Garcia and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-16 with Computers categories.
This Festschrift, dedicated to Manuel Hermenegildo on the occasion of his 60th birthday, contains papers written by many of his closest collaborators. Manuel received his Ph.D. degree in Computer Science and Engineering from the University of Texas at Austin, and among various positions he was an endowed chair in Information Science and Technology at the University of New Mexico. In 2007 he became the founding director of the IMDEA Software Institute, where he is now a Distinguished Professor, while also a full professor at Universidad Politécnica de Madrid (UPM). He has published more than 300 scientific publications, given numerous keynotes and invited talks at major conferences, coordinated many national and international projects, and served the community in major conference roles, on journal boards, and on funding, scientific, and research committees. Among his awards are the Julio Rey Pastor prize in Mathematics and Information Science and Technology and the Aritmel prize in Computer Science; he is an elected member of the Academia Europaea; and in 2022 he was elected a Fellow of the ACM for contributions to program analysis, verification, parallelism, logic programming, and the IMDEA Software Institute. Throughout his career, Manuel has been at the forefront of the fields of logic programming, constraint programming, parallel programming, program analysis, program transformation, and programming environment design. The contributions in this volume reflect the quality and the scope of his personal and collaborative successes.
Automata And Complexity
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Author : Andrew Adamatzky
language : en
Publisher: Springer Nature
Release Date : 2022-04-19
Automata And Complexity written by Andrew Adamatzky and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-19 with Technology & Engineering categories.
This book commemorates Eric Goles’s achievements in science and engineering. Eric Goles is one of the world leaders in the field of automata and complexity. His groundbreaking discoveries are in the theory and analysis of complex systems, particularly in the field of discrete systems dynamics such as neural networks, automata networks, majority networks, bootstrap percolation models, cellular automata, computational complexity theory, discrete mathematics, and theoretical computer science. Topics include cellular automata, complex networks, models of computation, expansive systems, sandpile automata, Penrose tilings, Boolean automata, models of infection, Fibonacci trees, dominos, reversible automata, and fungal automata. The chapters are authored by world leaders in computer science, physics, mathematics, and engineering. The book will be a pleasure to explore for readers from all walks of life, from undergraduate students to university professors, from mathematicians, computer scientists, and engineers to chemists and biologists.
Handbook Of Survey Based Business Cycle Analysis
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Author : Georg Goldrian
language : en
Publisher: Edward Elgar Publishing
Release Date : 2007-01-01
Handbook Of Survey Based Business Cycle Analysis written by Georg Goldrian and has been published by Edward Elgar Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Reference categories.
This Handbook aims to provide an overview of regular survey activities, as well as to show how survey results can be used scientifically in the context of business-cycle analysis and forecasting. - Examples of various business surveys are described in detail, starting with their objectives, the questions they pose, how they are weighted and extrapolated and the representativeness of their results. A detailed scientific examination of the explanatory value of the data is also made in order to demonstrate their potential usefulness. The Handbook has three parts: firstly, it presents the importance of business surveys for empirical research. Secondly, selected surveys are introduced in detail such as the Ifo Business Survey and the Ifo Investment Survey, and thirdly, a broad spectrum of studies on the consequence of the survey results is presented. The significance of the surveys applied equally to business cycle analysis and to forecasting. An array of modern methods of time series analysis and econometric model construction is used in these investigations.