Lattice

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Lattice

Author : Deepayan Sarkar
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 41,5 Mb
Release : 2008-02-15
Category : Mathematics
ISBN : 9780387759692

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Lattice by Deepayan Sarkar Pdf

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.

Statistical Mechanics of Lattice Systems

Author : Sacha Friedli,Yvan Velenik
Publisher : Cambridge University Press
Page : 643 pages
File Size : 54,8 Mb
Release : 2017-11-23
Category : Mathematics
ISBN : 9781107184824

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Statistical Mechanics of Lattice Systems by Sacha Friedli,Yvan Velenik Pdf

A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.

People Strategy

Author : Jack Altman
Publisher : John Wiley & Sons
Page : 192 pages
File Size : 51,7 Mb
Release : 2021-04-08
Category : Business & Economics
ISBN : 9781119716945

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People Strategy by Jack Altman Pdf

The Wall Street Journal bestseller! Learn to unlock the potential of your employees and colleagues with this definitive resource for people management People Strategy: How to Invest in People and Make Culture Your Competitive Advantage provides readers with a powerful framework in which to develop high-performing teams, increase employee motivation, and use data to build an inviting and effective company culture. Author Jack Altman, cofounder and CEO of Lattice, an award-winning HR and performance management platform, shows you how to: Establish the values that will form the bedrock of your organization Develop feedback processes that help employees feel heard, supported, and equipped to succeed Monitor the breadth and depth of employee engagement in your company Use the data and insights created by your People Strategy to drive business results Perfect for executives, managers, and human resource professionals, People Strategy also belongs on the bookshelves of anyone with even an interest in how to develop, nurture, and unlock the potential of their employees and colleagues.

Sphere Packings, Lattices and Groups

Author : John Conway,Neil J. A. Sloane
Publisher : Springer Science & Business Media
Page : 778 pages
File Size : 48,7 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475765687

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Sphere Packings, Lattices and Groups by John Conway,Neil J. A. Sloane Pdf

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.

Quantum Fields on a Lattice

Author : Istvan Montvay,Gernot Münster
Publisher : Cambridge University Press
Page : 512 pages
File Size : 47,8 Mb
Release : 1994
Category : Mathematics
ISBN : 0521599172

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Quantum Fields on a Lattice by Istvan Montvay,Gernot Münster Pdf

Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.

A Compendium of Continuous Lattices

Author : G. Gierz,K. H. Hofmann,K. Keimel,J. D. Lawson,M. Mislove,D. S. Scott
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 55,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642676789

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A Compendium of Continuous Lattices by G. Gierz,K. H. Hofmann,K. Keimel,J. D. Lawson,M. Mislove,D. S. Scott Pdf

A mathematics book with six authors is perhaps a rare enough occurrence to make a reader ask how such a collaboration came about. We begin, therefore, with a few words on how we were brought to the subject over a ten-year period, during part of which time we did not all know each other. We do not intend to write here the history of continuous lattices but rather to explain our own personal involvement. History in a more proper sense is provided by the bibliography and the notes following the sections of the book, as well as by many remarks in the text. A coherent discussion of the content and motivation of the whole study is reserved for the introduction. In October of 1969 Dana Scott was lead by problems of semantics for computer languages to consider more closely partially ordered structures of function spaces. The idea of using partial orderings to correspond to spaces of partially defined functions and functionals had appeared several times earlier in recursive function theory; however, there had not been very sustained interest in structures of continuous functionals. These were the ones Scott saw that he needed. His first insight was to see that - in more modern terminology - the category of algebraic lattices and the (so-called) Scott-continuous functions is cartesian closed.

Orthogonal Decompositions and Integral Lattices

Author : Алексей Иванович Кострикин,Huu Tiep Pham
Publisher : Walter de Gruyter
Page : 554 pages
File Size : 42,6 Mb
Release : 1994
Category : Mathematics
ISBN : 3110137836

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Orthogonal Decompositions and Integral Lattices by Алексей Иванович Кострикин,Huu Tiep Pham Pdf

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Topological Duality for Distributive Lattices

Author : Mai Gehrke,Sam van Gool
Publisher : Cambridge University Press
Page : 370 pages
File Size : 41,8 Mb
Release : 2024-02-29
Category : Computers
ISBN : 9781009349710

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Topological Duality for Distributive Lattices by Mai Gehrke,Sam van Gool Pdf

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.

Probabilistic Lattices

Author : Louis Narens
Publisher : World Scientific
Page : 208 pages
File Size : 42,9 Mb
Release : 2014-12-30
Category : Mathematics
ISBN : 9789814630436

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Probabilistic Lattices by Louis Narens Pdf

There are many books on lattice theory in the field, but none interfaces with the foundations of probability. This book does. It also develops new probability theories with rigorous foundations for decision theory and applies them to specific well-known problematic examples. There is only one other book that attempts this. It uses quantum probability theory from physics. The new probability theories developed in this book are different; they are not borrowed from physics but are explicitly designed for decision theory. Contents:IntroductionBasic Lattice TheoryPseudo Complemented Distributive LatticesProbability and CoherenceRationality, Heuristics, and Human Judgments of ProbabilityOrthomodular Modeling of Psychological Paradigms Readership: Researchers in probability theory, logic and mathematical psychology. Key Features:Systematic, foundational development of probability theories based on Boolean and non-Boolean algebrasNew theoretical foundations for theories of belief that emphasize the logical structure of event spacesNew methods for modeling the Kahnemann and Tversky heuristics and other psychological paradigms based on intuitionistic logic and a generalization of quantum logicKeywords:Probability on Lattices;Decision Theory;Intuitionistic Logic;Lattice Theory

Homological Algebra

Author : Marco Grandis
Publisher : World Scientific
Page : 384 pages
File Size : 47,5 Mb
Release : 2012-06-08
Category : Mathematics
ISBN : 9789814407083

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Homological Algebra by Marco Grandis Pdf

In this book we want to explore aspects of coherence in homological algebra, that already appear in the classical situation of abelian groups or abelian categories. Lattices of subobjects are shown to play an important role in the study of homological systems, from simple chain complexes to all the structures that give rise to spectral sequences. A parallel role is played by semigroups of endorelations. These links rest on the fact that many such systems, but not all of them, live in distributive sublattices of the modular lattices of subobjects of the system. The property of distributivity allows one to work with induced morphisms in an automatically consistent way, as we prove in a ‘Coherence Theorem for homological algebra’. (On the contrary, a ‘non-distributive’ homological structure like the bifiltered chain complex can easily lead to inconsistency, if one explores the interaction of its two spectral sequences farther than it is normally done.) The same property of distributivity also permits representations of homological structures by means of sets and lattices of subsets, yielding a precise foundation for the heuristic tool of Zeeman diagrams as universal models of spectral sequences. We thus establish an effective method of working with spectral sequences, called ‘crossword chasing’, that can often replace the usual complicated algebraic tools and be of much help to readers that want to apply spectral sequences in any field. Homological Algebra: In Strongly Non-Abelian Settings Contents:IntroductionCoherence and Models in Homological AlgebraPuppe-Exact CategoriesInvolutive CategoriesCategories of Relations as RE-CategoriesTheories and ModelsHomological Theories and Their Universal ModelsAppendix A: Some Points of Category TheoryAppendix B: A Proof for the Universal Exact System Readership: Graduated students in Mathematics and professional researchers in mathematics. Keywords:Non Abelian Homological Algebra;Spectral Sequences;Distributive Lattices;Orthodox Semigroups;Categories of RelationsKey Features:A paper by E C Zeeman and the book by Hilton and Wylie (referred to below, in point 12) introduced Zeeman diagrams as a heuristic tool for representing spectral sequences. But the theory that makes this legitimate, as a theoretical method, is given here, for the first time in book form (and elsewhere it only exists in papers of mine). The universal models of many other homological systems are also given and studiedThis has never been presented elsewhere in book form, and has only been studied in a series of papers of mine, published in different journalsAs in the previous pointReviews:“The book is a fine culmination to many papers of the author going back to 1967.”Zentralblatt MATH

Quantum Chromodynamics on the Lattice

Author : Christof Gattringer,Christian B. Lang
Publisher : Springer
Page : 343 pages
File Size : 55,7 Mb
Release : 2009-10-03
Category : Science
ISBN : 9783642018503

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Quantum Chromodynamics on the Lattice by Christof Gattringer,Christian B. Lang Pdf

This introduction to quantum chromodynamics presents the basic concepts and calculations in a clear and didactic style accessible to those new to the field. Readers will find useful methods for obtaining numerical results, including pure gauge theory and quenched spectroscopy.

Cryptography and Lattices

Author : Joseph H. Silverman
Publisher : Springer
Page : 224 pages
File Size : 43,6 Mb
Release : 2003-06-30
Category : Computers
ISBN : 9783540446705

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Cryptography and Lattices by Joseph H. Silverman Pdf

This book constitutes the thoroughly refereed post-proceedings of the International Conference on Cryptography and Lattices, CaLC 2001, held in Providence, RI, USA in March 2001. The 14 revised full papers presented together with an overview paper were carefully reviewed and selected for inclusion in the book. All current aspects of lattices and lattice reduction in cryptography, both for cryptographic construction and cryptographic analysis, are addressed.

Axioms for Lattices and Boolean Algebras

Author : Ranganathan Padmanabhan
Publisher : World Scientific
Page : 229 pages
File Size : 52,8 Mb
Release : 2008
Category : Computers
ISBN : 9789812834553

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Axioms for Lattices and Boolean Algebras by Ranganathan Padmanabhan Pdf

The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices. This unique research monograph systematically presents minimal equational axiom-systems for various lattice-related algebras, regardless of whether they are given in terms of OC join and meetOCO or other types of operations such as ternary operations. Each of the axiom-systems is coded in a handy way so that it is easy to follow the natural connection among the various axioms and to understand how to combine them to form new axiom systems.A new topic in this book is the characterization of Boolean algebras within the class of all uniquely complemented lattices. Here, the celebrated problem of E V Huntington is addressed, which OCo according to G Gratzer, a leading expert in modern lattice theory OCo is one of the two problems that shaped a century of research in lattice theory. Among other things, it is shown that there are infinitely many non-modular lattice identities that force a uniquely complemented lattice to be Boolean, thus providing several new axiom systems for Boolean algebras within the class of all uniquely complemented lattices. Finally, a few related lines of research are sketched, in the form of appendices, including one by Dr Willian McCune of the University of New Mexico, on applications of modern theorem-proving to the equational theory of lattices.

Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices

Author : Evdokiya Georgieva Kostadinova
Publisher : Springer
Page : 107 pages
File Size : 48,9 Mb
Release : 2018-12-11
Category : Science
ISBN : 9783030022129

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Spectral Approach to Transport Problems in Two-Dimensional Disordered Lattices by Evdokiya Georgieva Kostadinova Pdf

This book introduces the spectral approach to transport problems in infinite disordered systems characterized by Anderson-type Hamiltonians. The spectral approach determines (with probability one) the existence of extended states for nonzero disorder in infinite lattices of any dimension and geometry. Here, the author focuses on the critical 2D case, where previous numerical and experimental results have shown disagreement with theory. Not being based on scaling theory, the proposed method avoids issues related to boundary conditions and provides an alternative approach to transport problems where interaction with various types of disorder is considered. Beginning with a general overview of Anderson-type transport problems and their relevance to physical systems, it goes on to discuss in more detail the most relevant theoretical, numerical, and experimental developments in this field of research. The mathematical formulation of the innovative spectral approach is introduced together with a physical interpretation and discussion of its applicability to physical systems, followed by a numerical study of delocalization in the 2D disordered honeycomb, triangular, and square lattices. Transport in the 2D honeycomb lattice with substitutional disorder is investigated employing a spectral analysis of the quantum percolation problem. Next, the applicability of the method is extended to the classical regime, with an examination of diffusion of lattice waves in 2D disordered complex plasma crystals, along with discussion of proposed future developments in the study of complex transport problems using spectral theory.

Tree Lattices

Author : Hyman Bass,Alexander Lubotzky
Publisher : Springer Science & Business Media
Page : 239 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461220985

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Tree Lattices by Hyman Bass,Alexander Lubotzky Pdf

This monograph extends this approach to the more general investigation of X-lattices, and these "tree lattices" are the main object of study. The authors present a coherent survey of the results on uniform tree lattices, and a (previously unpublished) development of the theory of non-uniform tree lattices, including some fundamental and recently proved existence theorems. Tree Lattices should be a helpful resource to researchers in the field, and may also be used for a graduate course on geometric methods in group theory.