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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 :
Publisher :
ISBN 13 :
Total Pages : 1002 pages
Book Rating : 4.X/5 (4 download)
Download or read book Lattice ... written by and published by . This book was released on 1999 with total page 1002 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : 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 : 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 : Deepayan Sarkar
Publisher : Springer Science & Business Media
ISBN 13 : 0387759697
Total Pages : 283 pages
Book Rating : 4.3/5 (877 download)
Download or read book Lattice written by Deepayan Sarkar and published by Springer Science & Business Media. This book was released on 2008-02-15 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by the author of the lattice system, this book describes lattice in considerable depth, beginning with the essentials and systematically delving into specific low levels details as necessary. No prior experience with lattice is required to read the book, although basic familiarity with R is assumed. The book contains close to 150 figures produced with lattice. Many of the examples emphasize principles of good graphical design; almost all use real data sets that are publicly available in various R packages. All code and figures in the book are also available online, along with supplementary material covering more advanced topics.
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 : 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 : 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 : Arnold M. Kosevich
Publisher : John Wiley & Sons
ISBN 13 : 3527606939
Total Pages : 356 pages
Book Rating : 4.5/5 (276 download)
Download or read book The Crystal Lattice written by Arnold M. Kosevich and published by John Wiley & Sons. This book was released on 2006-05-12 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this successful book is to describe and analyse peculiarities of classical and quantum dynamics of a crystal as a spatially periodic structure. In the second revised and updated edition, the author focuses on low-dimensional models of crystals and on superlattices. Both traditional questions like the spectrum of vibrations, the idea of phonon gas, dislocations etc. and new aspects like the theory of quantum crystals, solitons in 1D crystals, dislocation theory of melting of 2D crystals etc. are discussed. The author gives an explanation of a set of phenomena which entered into solid state physics during the last decades. It is shown that the crystal properties are sensitive to the dimension of the crystal and its defect structure, and depend slightly on whether the periodic structure consists of atoms, or electrical dipoles, or magnetic moments (spins). Considerable attention is devoted to the dislocation mechanisms as a basis of the theory of plasticity and numerous technological applications of crystalline materials.
Author : H. Toki
Publisher : World Scientific
ISBN 13 : 9789812381255
Total Pages : 380 pages
Book Rating : 4.3/5 (812 download)
Download or read book The Proceedings of the International Symposium on Nuclear Electro-Weak Spectroscopy for Symmetries in Electro-Weak Nuclear-Processes written by H. Toki and published by World Scientific. This book was released on 2002 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NEWS99 international symposium discusses symmetries in electroweak processes in nuclei. Many phenomena in nuclear and particle physics are related to symmetry. It is known that we are living in a left-handed world as far as the Weak interaction is concerned, but neutrino physics suggests that a right-handed world may also be relevant. Chiral symmetry and its breaking plays an essential role in generating hadron masses. Symmetries related to flavor in the strong interaction like isospin, SU(3) and so on are known to be violated although they play a crucial role for the understanding of phenomena in nuclear and particle physics. The treatment of tiny breaking is of particular importance. Weak and electromagnetic interactions are well established at the fundamental level and can be used to probe the structure of nuclei and hadrons. A wide variety of phenomena in nuclear and particle physics were discussed in NEWS99 with an emphasis on symmetry. Topics ranged from nuclear structure to neutrino properties,,covering highly phenomenological to fundamental fields.
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.
