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Author : Klaus Dohmen
Publisher : Springer Science & Business Media
ISBN 13 : 9783540200253
Total Pages : 132 pages
Book Rating : 4.2/5 (2 download)
Download or read book Improved Bonferroni Inequalities via Abstract Tubes written by Klaus Dohmen and published by Springer Science & Business Media. This book was released on 2003 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Klaus Dohmen
Publisher : Springer
ISBN 13 : 3540393994
Total Pages : 119 pages
Book Rating : 4.5/5 (43 download)
Download or read book Improved Bonferroni Inequalities via Abstract Tubes written by Klaus Dohmen and published by Springer. This book was released on 2003-12-05 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the recent theory of abstract tubes describes the framework for establishing improved inclusion-exclusion identities and Bonferroni inequalities, which are provably at least as sharp as their classical counterparts while involving fewer terms. All necessary definitions from graph theory, lattice theory and topology are provided. The role of closure and kernel operators is emphasized, and examples are provided throughout to demonstrate the applicability of this new theory. Applications are given to system and network reliability, reliability covering problems and chromatic graph theory. Topics also covered include Zeilberger's abstract lace expansion, matroid polynomials and Möbius functions.
Author : Jaroslav Nešetřil
Publisher : Springer Science & Business Media
ISBN 13 : 887642475X
Total Pages : 612 pages
Book Rating : 4.8/5 (764 download)
Download or read book The Seventh European Conference on Combinatorics, Graph Theory and Applications written by Jaroslav Nešetřil and published by Springer Science & Business Media. This book was released on 2014-01-18 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the tradition of EuroComb'01 (Barcelona), Eurocomb'03 (Prague), EuroComb'05 (Berlin), Eurocomb'07 (Seville), Eurocomb'09 (Bordeaux), and Eurocomb'11 (Budapest), this volume covers recent advances in combinatorics and graph theory including applications in other areas of mathematics, computer science and engineering. Topics include, but are not limited to: Algebraic combinatorics, combinatorial geometry, combinatorial number theory, combinatorial optimization, designs and configurations, enumerative combinatorics, extremal combinatorics, ordered sets, random methods, topological combinatorics.
Author : John Chen
Publisher : CRC Press
ISBN 13 : 1466518456
Total Pages : 302 pages
Book Rating : 4.4/5 (665 download)
Download or read book Multivariate Bonferroni-Type Inequalities written by John Chen and published by CRC Press. This book was released on 2016-04-19 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multivariate Bonferroni-Type Inequalities: Theory and Applications presents a systematic account of research discoveries on multivariate Bonferroni-type inequalities published in the past decade. The emergence of new bounding approaches pushes the conventional definitions of optimal inequalities and demands new insights into linear and Frechet optimality. The book explores these advances in bounding techniques with corresponding innovative applications. It presents the method of linear programming for multivariate bounds, multivariate hybrid bounds, sub-Markovian bounds, and bounds using Hamilton circuits. The first half of the book describes basic concepts and methods in probability inequalities. The author introduces the classification of univariate and multivariate bounds with optimality, discusses multivariate bounds using indicator functions, and explores linear programming for bivariate upper and lower bounds. The second half addresses bounding results and applications of multivariate Bonferroni-type inequalities. The book shows how to construct new multiple testing procedures with probability upper bounds and goes beyond bivariate upper bounds by considering vectorized upper and hybrid bounds. It presents an optimization algorithm for bivariate and multivariate lower bounds and covers vectorized high-dimensional lower bounds with refinements, such as Hamilton-type circuits and sub-Markovian events. The book concludes with applications of probability inequalities in molecular cancer therapy, big data analysis, and more.
Author : Hemanshu Kaul
Publisher : World Scientific
ISBN 13 : 9814299146
Total Pages : 273 pages
Book Rating : 4.8/5 (142 download)
Download or read book Advances in Interdisciplinary Applied Discrete Mathematics written by Hemanshu Kaul and published by World Scientific. This book was released on 2010-09-21 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on fields such as consensus and voting theory, clustering, location theory, mathematical biology, and optimization that have seen an upsurge of exciting works over the years using discrete models in modern applications. This book discusses advances in the fields, highlighting the approach of cross-fertilization of ideas across disciplines.
Author : Santanu Acharjee
Publisher : Springer Nature
ISBN 13 : 9819901510
Total Pages : 264 pages
Book Rating : 4.8/5 (199 download)
Download or read book Advances in Topology and Their Interdisciplinary Applications written by Santanu Acharjee and published by Springer Nature. This book was released on 2023-05-09 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected chapters on recent research in topology. It bridges the gap between recent trends of topological theories and their applications in areas like social sciences, natural sciences, soft computing, economics, theoretical chemistry, cryptography, pattern recognitions and granular computing. There are 14 chapters, including two chapters on mathematical economics from the perspective of topology. The book discusses topics on function spaces, relator space, preorder, quasi-uniformities, bitopological dynamical systems, b-metric spaces and related fixed point theory. This book is useful to researchers, experts and scientists in studying the cutting-edge research in topology and related areas and helps them applying topology in solving real-life problems the society and science are facing these days.
Author : Gert-Martin Greuel
Publisher : Springer
ISBN 13 : 3319424327
Total Pages : 533 pages
Book Rating : 4.3/5 (194 download)
Download or read book Mathematical Software – ICMS 2016 written by Gert-Martin Greuel and published by Springer. This book was released on 2016-07-05 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 5th International Conference on Mathematical Software, ICMS 2015, held in Berlin, Germany, in July 2016. The 68 papers included in this volume were carefully reviewed and selected from numerous submissions. The papers are organized in topical sections named: univalent foundations and proof assistants; software for mathematical reasoning and applications; algebraic and toric geometry; algebraic geometry in applications; software of polynomial systems; software for numerically solving polynomial systems; high-precision arithmetic, effective analysis, and special functions; mathematical optimization; interactive operation to scientific artwork and mathematical reasoning; information services for mathematics: software, services, models, and data; semDML: towards a semantic layer of a world digital mathematical library; miscellanea.
Author : Frank Beichelt
Publisher : CRC Press
ISBN 13 : 1439826358
Total Pages : 346 pages
Book Rating : 4.4/5 (398 download)
Download or read book Reliability and Maintenance written by Frank Beichelt and published by CRC Press. This book was released on 2012-05-22 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reliability and Maintenance: Networks and Systems gives an up-to-date presentation of system and network reliability analysis as well as maintenance planning with a focus on applicable models. Balancing theory and practice, it presents state-of-the-art research in key areas of reliability and maintenance theory and includes numerous examples and exercises. Every chapter starts with theoretical foundations and basic models and leads to more sophisticated models and ongoing research. The first part of the book introduces structural reliability theory for binary coherent systems. Within the framework of these systems, the second part covers network reliability analysis. The third part presents simply structured maintenance policies that may help with the cost-optimal scheduling of preventive maintenance. Each part can be read independently of one another. Suitable for researchers, practitioners, and graduate students in engineering, operations research, computer science, and applied mathematics, this book offers a thorough guide to the mathematical modeling of reliability and maintenance. It supplies the necessary theoretical and practical details for readers to perform reliability analyses and apply maintenance policies in their organizations.
Author : Kai Diethelm
Publisher : Springer Science & Business Media
ISBN 13 : 3642145736
Total Pages : 251 pages
Book Rating : 4.6/5 (421 download)
Download or read book The Analysis of Fractional Differential Equations written by Kai Diethelm and published by Springer Science & Business Media. This book was released on 2010-09-03 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional calculus was first developed by pure mathematicians in the middle of the 19th century. Some 100 years later, engineers and physicists have found applications for these concepts in their areas. However there has traditionally been little interaction between these two communities. In particular, typical mathematical works provide extensive findings on aspects with comparatively little significance in applications, and the engineering literature often lacks mathematical detail and precision. This book bridges the gap between the two communities. It concentrates on the class of fractional derivatives most important in applications, the Caputo operators, and provides a self-contained, thorough and mathematically rigorous study of their properties and of the corresponding differential equations. The text is a useful tool for mathematicians and researchers from the applied sciences alike. It can also be used as a basis for teaching graduate courses on fractional differential equations.
Author : American Mathematical Society. Short Course on Computational Topology
Publisher : American Mathematical Soc.
ISBN 13 : 0821853279
Total Pages : 250 pages
Book Rating : 4.8/5 (218 download)
Download or read book Advances in Applied and Computational Topology written by American Mathematical Society. Short Course on Computational Topology and published by American Mathematical Soc.. This book was released on 2012-07-05 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is the shape of data? How do we describe flows? Can we count by integrating? How do we plan with uncertainty? What is the most compact representation? These questions, while unrelated, become similar when recast into a computational setting. Our input is a set of finite, discrete, noisy samples that describes an abstract space. Our goal is to compute qualitative features of the unknown space. It turns out that topology is sufficiently tolerant to provide us with robust tools. This volume is based on lectures delivered at the 2011 AMS Short Course on Computational Topology, held January 4-5, 2011 in New Orleans, Louisiana. The aim of the volume is to provide a broad introduction to recent techniques from applied and computational topology. Afra Zomorodian focuses on topological data analysis via efficient construction of combinatorial structures and recent theories of persistence. Marian Mrozek analyzes asymptotic behavior of dynamical systems via efficient computation of cubical homology. Justin Curry, Robert Ghrist, and Michael Robinson present Euler Calculus, an integral calculus based on the Euler characteristic, and apply it to sensor and network data aggregation. Michael Erdmann explores the relationship of topology, planning, and probability with the strategy complex. Jeff Erickson surveys algorithms and hardness results for topological optimization problems.
Author : Alison Etheridge
Publisher : Springer Science & Business Media
ISBN 13 : 3642166318
Total Pages : 129 pages
Book Rating : 4.6/5 (421 download)
Download or read book Some Mathematical Models from Population Genetics written by Alison Etheridge and published by Springer Science & Business Media. This book was released on 2011-01-07 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour summer school in probability. It provides a rapid introduction to a range of mathematical models that have their origins in theoretical population genetics. The models fall into two classes: forwards in time models for the evolution of frequencies of different genetic types in a population; and backwards in time (coalescent) models that trace out the genealogical relationships between individuals in a sample from the population. Some, like the classical Wright-Fisher model, date right back to the origins of the subject. Others, like the multiple merger coalescents or the spatial Lambda-Fleming-Viot process are much more recent. All share a rich mathematical structure. Biological terms are explained, the models are carefully motivated and tools for their study are presented systematically.
Author : Christian Pötzsche
Publisher : Springer Science & Business Media
ISBN 13 : 3642142575
Total Pages : 422 pages
Book Rating : 4.6/5 (421 download)
Download or read book Geometric Theory of Discrete Nonautonomous Dynamical Systems written by Christian Pötzsche and published by Springer Science & Business Media. This book was released on 2010-09-17 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes).
Author : Emilio Bujalance
Publisher : Springer Science & Business Media
ISBN 13 : 3642148271
Total Pages : 181 pages
Book Rating : 4.6/5 (421 download)
Download or read book Symmetries of Compact Riemann Surfaces written by Emilio Bujalance and published by Springer Science & Business Media. This book was released on 2010-10-06 with total page 181 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with symmetries of compact Riemann surfaces. A symmetry of a compact Riemann surface S is an antianalytic involution of S. It is well known that Riemann surfaces exhibiting symmetry correspond to algebraic curves which can be defined over the field of real numbers. In this monograph we consider three topics related to the topology of symmetries, namely the number of conjugacy classes of symmetries, the numbers of ovals of symmetries and the symmetry types of Riemann surfaces.
Author : Árpád Baricz
Publisher : Springer Science & Business Media
ISBN 13 : 3642122299
Total Pages : 225 pages
Book Rating : 4.6/5 (421 download)
Download or read book Generalized Bessel Functions of the First Kind written by Árpád Baricz and published by Springer Science & Business Media. This book was released on 2010-05-25 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized functions.
Author : Alberto Parmeggiani
Publisher : Springer Science & Business Media
ISBN 13 : 3642119212
Total Pages : 260 pages
Book Rating : 4.6/5 (421 download)
Download or read book Spectral Theory of Non-Commutative Harmonic Oscillators: An Introduction written by Alberto Parmeggiani and published by Springer Science & Business Media. This book was released on 2010-04-22 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the spectral theory of the Weyl quantization of systems of polynomials in phase-space variables, modelled after the harmonic oscillator. The main technique used is pseudodifferential calculus, including global and semiclassical variants. The main results concern the meromorphic continuation of the spectral zeta function associated with the spectrum, and the localization (and the multiplicity) of the eigenvalues of such systems, described in terms of “classical” invariants (such as the periods of the periodic trajectories of the bicharacteristic flow associated with the eiganvalues of the symbol). The book utilizes techniques that are very powerful and flexible and presents an approach that could also be used for a variety of other problems. It also features expositions on different results throughout the literature.
Author : Thomas Duquesne
Publisher : Springer Science & Business Media
ISBN 13 : 3642140068
Total Pages : 216 pages
Book Rating : 4.6/5 (421 download)
Download or read book Lévy Matters I written by Thomas Duquesne and published by Springer Science & Business Media. This book was released on 2010-09-05 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on the breadth of the topic, this volume explores Lévy processes and applications, and presents the state-of-the-art in this evolving area of study. These expository articles help to disseminate important theoretical and applied research to those studying the field.
Author : Markus Banagl
Publisher : Springer Science & Business Media
ISBN 13 : 3642125883
Total Pages : 237 pages
Book Rating : 4.6/5 (421 download)
Download or read book Intersection Spaces, Spatial Homology Truncation, and String Theory written by Markus Banagl and published by Springer Science & Business Media. This book was released on 2010-07-08 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whose ordinary rational homology satisfies generalized Poincaré duality.
