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Author : C. T. H. Davies
Publisher :
ISBN 13 :
Total Pages : 1064 pages
Book Rating : 4.:/5 (321 download)
Download or read book Lattice 97 written by C. T. H. Davies and published by . This book was released on 1998 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Valya Mitrjushkin
Publisher : Springer Science & Business Media
ISBN 13 : 9780792364290
Total Pages : 402 pages
Book Rating : 4.3/5 (642 download)
Download or read book Lattice Fermions and Structure of the Vacuum written by Valya Mitrjushkin and published by Springer Science & Business Media. This book was released on 2000-06-30 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written versions of the 38 talks and poster presentations at an October 1999 workshop in Dubna, Russia look at two key problems in modern field theory: the formulation of chiral gauge theories on the lattice, and the quantitative understanding of the quark confinement mechanism. The two are linked by the topological origin of both the chiral nature of the fermions and the confining forces. The topics include domain-wall fermions in vector theories, optimizing chirality and scaling lattice fermions, a new multi-boson algorithm proposed by Slavnov, preliminary results with lattice covariant gauge, classical solutions and the vacuum structure in lattice gauge theories, vortices and confinement, some pieces of lattice evidence in favor of the center-vortex picture of color confinement, chirality carried by monopoles, and random matrix theory and Dirac spectrum at non-zero temperatures and density. There is no index. Annotation copyrighted by Book News, Inc., Portland, OR.
Author : G. Grätzer
Publisher : Birkhäuser
ISBN 13 : 3034876335
Total Pages : 392 pages
Book Rating : 4.0/5 (348 download)
Download or read book General Lattice Theory written by G. Grätzer and published by Birkhäuser. This book was released on 2012-12-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first half of the nineteenth century, George Boole's attempt to formalize propositional logic led to the concept of Boolean algebras. While investigating the axiomatics of Boolean algebras at the end of the nineteenth century, Charles S. Peirce and Ernst Schröder found it useful to introduce the lattice concept. Independently, Richard Dedekind's research on ideals of algebraic numbers led to the same discov ery. In fact, Dedekind also introduced modularity, a weakened form of distri butivity. Although some of the early results of these mathematicians and of Edward V. Huntington are very elegant and far from trivial, they did not attract the attention of the mathematical community. It was Garrett Birkhoff's work in the mid-thirties that started the general develop ment of lattice theory. In a brilliant series of papers he demonstrated the importance of lattice theory and showed that it provides a unifying framework for hitherto unrelated developments in many mathematical disciplines. Birkhoff himself, Valere Glivenko, Karl Menger, John von Neumann, Oystein Ore, and others had developed enough of this new field for Birkhoff to attempt to "seIl" it to the general mathematical community, which he did with astonishing success in the first edition of his Lattice Theory. The further development of the subject matter can best be followed by com paring the first, second, and third editions of his book (G. Birkhoff [1940], [1948], and [1967]).
Author : Daniele Micciancio
Publisher : Springer Science & Business Media
ISBN 13 : 1461508975
Total Pages : 229 pages
Book Rating : 4.4/5 (615 download)
Download or read book Complexity of Lattice Problems written by Daniele Micciancio and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattices are geometric objects that can be pictorially described as the set of intersection points of an infinite, regular n-dimensional grid. De spite their apparent simplicity, lattices hide a rich combinatorial struc ture, which has attracted the attention of great mathematicians over the last two centuries. Not surprisingly, lattices have found numerous ap plications in mathematics and computer science, ranging from number theory and Diophantine approximation, to combinatorial optimization and cryptography. The study of lattices, specifically from a computational point of view, was marked by two major breakthroughs: the development of the LLL lattice reduction algorithm by Lenstra, Lenstra and Lovasz in the early 80's, and Ajtai's discovery of a connection between the worst-case and average-case hardness of certain lattice problems in the late 90's. The LLL algorithm, despite the relatively poor quality of the solution it gives in the worst case, allowed to devise polynomial time solutions to many classical problems in computer science. These include, solving integer programs in a fixed number of variables, factoring polynomials over the rationals, breaking knapsack based cryptosystems, and finding solutions to many other Diophantine and cryptanalysis problems.
Author : George Grätzer
Publisher : Springer Science & Business Media
ISBN 13 : 3034800185
Total Pages : 639 pages
Book Rating : 4.0/5 (348 download)
Download or read book Lattice Theory: Foundation written by George Grätzer and published by Springer Science & Business Media. This book was released on 2011-02-14 with total page 639 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication of the first edition in 1978, General Lattice Theory has become the authoritative introduction to lattice theory for graduate students and the standard reference for researchers. The First Edition set out to introduce and survey lattice theory. Some 12,000 papers have been published in the field since then; so Lattice Theory: Foundation focuses on introducing the field, laying the foundation for special topics and applications. Lattice Theory: Foundation, based on the previous three books, covers the fundamental concepts and results. The main topics are distributivity, congruences, constructions, modularity and semimodularity, varieties, and free products. The chapter on constructions is new, all the other chapters are revised and expanded versions from the earlier volumes. Almost 40 “diamond sections’’, many written by leading specialists in these fields, provide a brief glimpse into special topics beyond the basics. “Lattice theory has come a long way... For those who appreciate lattice theory, or who are curious about its techniques and intriguing internal problems, Professor Grätzer's lucid new book provides a most valuable guide to many recent developments. Even a cursory reading should provide those few who may still believe that lattice theory is superficial or naive, with convincing evidence of its technical depth and sophistication.” Bulletin of the American Mathematical Society “Grätzer’s book General Lattice Theory has become the lattice theorist’s bible.” Mathematical Reviews
Author : J. Thanh Van Tran
Publisher : Atlantica Séguier Frontières
ISBN 13 : 9782863322239
Total Pages : 604 pages
Book Rating : 4.3/5 (222 download)
Download or read book '97 Electroweak Interactions and Unified Theories written by J. Thanh Van Tran and published by Atlantica Séguier Frontières. This book was released on 1997 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Mai Gehrke
Publisher : Cambridge University Press
ISBN 13 : 1009349694
Total Pages : 369 pages
Book Rating : 4.0/5 (93 download)
Download or read book Topological Duality for Distributive Lattices written by Mai Gehrke and published by Cambridge University Press. This book was released on 2024-02-29 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing Stone-Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area. After giving a thorough introduction to the algebraic, topological, logical, and categorical aspects of the theory, the book covers two advanced applications in computer science, namely in domain theory and automata theory. These topics are at the forefront of active research seeking to unify semantic methods with more algorithmic topics in finite model theory. Frequent exercises punctuate the text, with hints and references provided.
Author : C. D. Olds
Publisher : Cambridge University Press
ISBN 13 : 9780883856437
Total Pages : 198 pages
Book Rating : 4.8/5 (564 download)
Download or read book The Geometry of Numbers written by C. D. Olds and published by Cambridge University Press. This book was released on 2001-02-22 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained introduction to the geometry of numbers.
Author : John Conway
Publisher : Springer Science & Business Media
ISBN 13 : 1475765681
Total Pages : 778 pages
Book Rating : 4.4/5 (757 download)
Download or read book Sphere Packings, Lattices and Groups written by John Conway and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this definitive and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also examine such related issues as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. There is also a description of the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analogue-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. New and of special interest is a report on some recent developments in the field, and an updated and enlarged supplementary bibliography with over 800 items.
Author : Huey-Wen Lin
Publisher : Springer
ISBN 13 : 3319080229
Total Pages : 255 pages
Book Rating : 4.3/5 (19 download)
Download or read book Lattice QCD for Nuclear Physics written by Huey-Wen Lin and published by Springer. This book was released on 2014-11-21 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: With ever increasing computational resources and improvements in algorithms, new opportunities are emerging for lattice gauge theory to address key questions in strongly interacting systems, such as nuclear matter. Calculations today use dynamical gauge-field ensembles with degenerate light up/down quarks and the strange quark and it is possible now to consider including charm-quark degrees of freedom in the QCD vacuum. Pion masses and other sources of systematic error, such as finite-volume and discretization effects, are beginning to be quantified systematically. Altogether, an era of precision calculation has begun and many new observables will be calculated at the new computational facilities. The aim of this set of lectures is to provide graduate students with a grounding in the application of lattice gauge theory methods to strongly interacting systems and in particular to nuclear physics. A wide variety of topics are covered, including continuum field theory, lattice discretizations, hadron spectroscopy and structure, many-body systems, together with more topical lectures in nuclear physics aimed a providing a broad phenomenological background. Exercises to encourage hands-on experience with parallel computing and data analysis are included.
Author : F.F.Y. Wang
Publisher : Elsevier
ISBN 13 : 0444598707
Total Pages : 289 pages
Book Rating : 4.4/5 (445 download)
Download or read book Introduction to Solid State Electronics written by F.F.Y. Wang and published by Elsevier. This book was released on 2012-12-02 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is specifically tailored for undergraduate engineering courses offered in the junior year, providing a thorough understanding of solid state electronics without relying on the prerequisites of quantum mechanics. In contrast to most solid state electronics texts currently available, with their generalized treatments of the same topics, this is the first text to focus exclusively and in meaningful detail on introductory material. The original text has already been in use for 10 years. In this new edition, additional problems have been added at the end of most chapters. These problems are meant not only to review the material covered in the chapter, but also to introduce some aspects not covered in the text.An amended Solutions Manual is in preparation.
Author : A J Buras
Publisher : World Scientific
ISBN 13 : 9814500615
Total Pages : 850 pages
Book Rating : 4.8/5 (145 download)
Download or read book Heavy Flavours Ii written by A J Buras and published by World Scientific. This book was released on 1998-06-25 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of review articles on the most outstanding topics in heavy flavour physics. All the authors have made significant contributions to this field. The book reviews in detail the theoretical structure of heavy flavour physics and confronts the Standard Model and some of its extensions with existing experimental data.This new edition covers new trends and ideas and includes the latest experimental information. Compared to the previous edition interesting new activities are included and some of the key contributions are updated. Particular attention is paid to the discovery of the top quark and the determination of its mass.
Author : William Cowper
Publisher :
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.3/5 (91 download)
Download or read book Cowper's Shorter Poems written by William Cowper and published by . This book was released on 1896 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ram Zamir
Publisher : Cambridge University Press
ISBN 13 : 0521766982
Total Pages : 459 pages
Book Rating : 4.5/5 (217 download)
Download or read book Lattice Coding for Signals and Networks written by Ram Zamir and published by Cambridge University Press. This book was released on 2014-08-07 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Links information theory and digital communication through the language of lattice codes, featuring many advanced practical setups and techniques.
Author : J. M. Borwein
Publisher : Cambridge University Press
ISBN 13 : 1107435390
Total Pages : 391 pages
Book Rating : 4.1/5 (74 download)
Download or read book Lattice Sums Then and Now written by J. M. Borwein and published by Cambridge University Press. This book was released on 2013-09-05 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of lattice sums began when early investigators wanted to go from mechanical properties of crystals to the properties of the atoms and ions from which they were built (the literature of Madelung's constant). A parallel literature was built around the optical properties of regular lattices of atoms (initiated by Lord Rayleigh, Lorentz and Lorenz). For over a century many famous scientists and mathematicians have delved into the properties of lattices, sometimes unwittingly duplicating the work of their predecessors. Here, at last, is a comprehensive overview of the substantial body of knowledge that exists on lattice sums and their applications. The authors also provide commentaries on open questions, and explain modern techniques which simplify the task of finding new results in this fascinating and ongoing field. Lattice sums in one, two, three, four and higher dimensions are covered.
Author : Andrea Montessori
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681746751
Total Pages : 151 pages
Book Rating : 4.6/5 (817 download)
Download or read book Lattice Boltzmann Modeling of Complex Flows for Engineering Applications written by Andrea Montessori and published by Morgan & Claypool Publishers. This book was released on 2018-02-20 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nature continuously presents a huge number of complex and multi-scale phenomena, which in many cases, involve the presence of one or more fluids flowing, merging and evolving around us. Since its appearance on the surface of Earth, Mankind has tried to exploit and tame fluids for their purposes, probably starting with Hero's machinery to open the doors of the Temple of Serapis in Alexandria to arrive to modern propulsion systems and actuators. Today we know that fluid mechanics lies at the basis of countless scientific and technical applications from the smallest physical scales (nanofluidics, bacterial motility, and diffusive flows in porous media), to the largest (from energy production in power plants to oceanography and meteorology). It is essential to deepen the understanding of fluid behaviour across scales for the progress of Mankind and for a more sustainable and efficient future. Since the very first years of the Third Millennium, the Lattice Boltzmann Method (LBM) has seen an exponential growth of applications, especially in the fields connected with the simulation of complex and soft matter flows. LBM, in fact, has shown a remarkable versatility in different fields of applications from nanoactive materials, free surface flows, and multiphase and reactive flows to the simulation of the processes inside engines and fluid machinery. LBM is based on an optimized formulation of Boltzmann's Kinetic Equation, which allows for the simulation of fluid particles, or rather quasi-particles, from a mesoscopic point of view thus allowing the inclusion of more fundamental physical interactions in respect to the standard schemes adopted with Navier-Stokes solvers, based on the continuum assumption. In this book, the authors present the most recent advances of the application of the LBM to complex flow phenomena of scientific and technical interest with particular focus on the multi-scale modeling of heterogeneous catalysis within nano-porous media and multiphase, multicomponent flows.
Author : K. Motizuki
Publisher : Springer Science & Business Media
ISBN 13 : 9789027721716
Total Pages : 322 pages
Book Rating : 4.7/5 (217 download)
Download or read book Structural Phase Transitions in Layered Transition Metal Compounds written by K. Motizuki and published by Springer Science & Business Media. This book was released on 1986-10-31 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structural phase transition is one of the most fundamental problems in solid state physics. Layered transition-metal dichalcogenides provide us with a most exciting area for the study of structural phase transitions that are associated with the charge density wave (CDW). A large variety of structural phase transitions, such as commensurate and incommensurate transitions, and the physical proper ties related to the formation of a CDW, have been an object of intense study made for many years by methods employing modem microscopic techniques. Rather recently, efforts have been devoted to the theoretical understanding of these experimental results. Thus, McMillan, for example, has developed an elegant phenomenological theory on the basis of the Landau free energy expansion. An extension of McMillan's theory has provided a successful understanding of the successive phase transitions observed in the IT- and 2H-compounds. In addition, a microscopic theory of lattice instability, lattice dynamics, and lattice distortion in the CDW state of the transition-metal dichalcogenides has been developed based on their electronic structures. As a result, the driving force of the CDW formation in the IT- and 2H-compounds has become clear. Furthermore, the effect of lattice fluctuations on the CDW transition and on the anomalous behavior of various physical properties has been made clear microscopically.
