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Lattice: Multivariate Data Visualization with R
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by
Deepayan Sarkar
R is rapidly growing in popularity as the environment of choice for data analysis and graphics both in academia and industry. Lattice brings the proven design of Trellis graphics (originally developed for S by William S. Cleveland and colleagues at Bell Labs) to R, considerably expanding its capabilities in the process. Lattice is a powerful and ...
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The Congruences of a Finite Lattice: A 'Proof-By-Picture' Approach
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by
George Gratzer
The congruences of a lattice form the congruence lattice. In the past half-century, the study of congruence lattices has become a large and important field with a great number of interesting and deep results and many open problems. This self-contained exposition by one of the leading experts in lattice theory, George Gratzer, presents the major ...
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Lattice Theory
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by
Garrett D. Birkhoff
Features lattice theory and portrays its structure and indicates some of its most interesting applications.
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Commensurabilities Among Lattices in Pu (1, N)
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by
Pierre Deligne, G Daniel Mostow
The first part of this monograph is devoted to a characterization of hypergeometric-like functions, that is, twists of hypergeometric functions in n-variables. These are treated as an (n+1) dimensional vector space of multivalued locally holomorphic functions defined on the space of n+3 tuples of distinct points on the projective line P modulo, ...
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Quarks, Gluons and Lattices
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by
Michael Creutz
This book introduces the lattice approach to quantum field theory. The spectacular successes of this technique include compelling evidence that exchange of gauge gluons can confine the quarks within subnuclear matter. The lattice framework enables novel schemes for quantitative calculation and has caused considerable cross-disciplinary activity ...
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Homogenization of Reticulated Structures
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by
Doina Cioranescu, J Saint-Jean Paulin
This book presents recent works on lattice type structure. Its aim is to give continuous simple models for thin reticulated structures which may have a very complex pattern. For this reason, the authors treat partial differential equations depending on several small parameters, and give the asymptotic behavior with respect to these parameters. ...
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Introduction to Lattices and Order
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by
B A Davey
This is the first introductory textbook on ordered sets and lattices, and covers both the basic theory and its applications. The importance of ordered structures has been increasingly recognised in recent years due to an explosion of interest in computer science and all areas of discrete mathematics. The authors provide a thorough introduction to ...
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Constellation Shaping, Nonlinear Precoding, and Trellis Coding for Voiceband Telephone Channel Modems
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by
Steven A Tretter
This book is an excellent reference for those working in the broad fields of communication theory, information theory, and modem design. It is essential for researchers in modulation and coding for voiceband telephone line modems; signal constellation design; nonlinear precoding for modems; and trellis coding. The author presents the theory behind ...
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Geometry of State Spaces of Operator Algebras
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Erik M Alfsen, Jared R Stallones, Frederic W Shultz
This monograph presents a complete and self-contained solution to the long-standing problem of giving a geometric description of state spaces of C-algebras and von Neumann algebras, and of their Jordan algebraic analogs (JB-algebras and JBW-algebras). The material, which previously has appeared only in research papers and required substantial ...
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Problems of Atomic Dynamics
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by
Max Born
The Nobel Laureate discusses the foundations of quantum theory in two lectures, one on the structure of the atom, the other on the lattice theory of rigid bodies.
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Series Expansion Methods for Strongly Interacting Lattice Models
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by
Jaan Oitmaa, Chris Hamer, Weihong Zheng
Perturbation series expansion methods are sophisticated numerical tools used to provide quantitative calculations in many areas of theoretical physics. This book gives a comprehensive guide to the use of series expansion methods for investigating phase transitions and critical phenomena, and lattice models of quantum magnetism, strongly correlated ...
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Applications of Synthetic Resin Latices, Latices in Diverse Applications
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by
Henry Warson, C A Finch
This volume covers the principles and practices of latex-based systems in building and construction products, paper coating, textile treatment, polishes, leather finishing and many other specialized applications.
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Applications of Synthetic Resin Latices, Latices in Surface Coatings - Emulsion Paints
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by
Henry Warson, C A Finch
This volume describes the principles of the formulation, manufacture and application properties of water-based "emulsion" paints and related surface coatings. These include inter alia gloss and anti-corrosion paints and electrocoating.
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Thermodynamic Formalism: The Mathematical Structure of Equilibrium Statistical Mechanics
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by
David Ruelle
Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the ...
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Lattice Methods for Multiple Integration
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by
I H Sloan, S Joe
This is the first book devoted to lattice methods, a recently developed way of calculating multiple integrals in many variables. Multiple integrals of this kind arise in fields such as quantum physics and chemistry, statistical mechanics, Bayesian statistics and many others. Lattice methods are an effective tool when the number of integrals are ...
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Complexity of Lattice Problems: A Cryptographic Perspective
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by
Daniele Micciancio, Shafi Goldwasser
This book presents a self-contained overview of the state of the art in the complexity of lattice problems, with particular emphasis on problems that are related to the construction of cryptographic functions. Specific topics covered are the strongest known inapproximability result for the shortest vector problem; the relations between this and ...
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Arrangements of Hyperplanes
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by
Peter Orlik
An arrangement of hyperplanes is a finite collection ofcodimension one affine subspaces in a finite dimensionalvector space. Arrangements have emerged independently asimportant objects in various fields of mathematics such ascombinatorics, braids, configuration spaces, representationtheory, reflection groups, singularity theory, and incomputer ...
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Lattice Points
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by
Ekkehard Kratzel, Ekkehard Krc$tzel, Ekkehard Krdtzel
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Pipelined Lattice and Wave Digital Recursive Filters
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Jin-Gyun Chung, Chung Jin-Gyun Chung, Keshab K Parhi
"Pipelined Lattice and Wave Digital Recursive Filters" uses look-ahead transformation and constrained filter design approaches. It is also shown that pipelining often reduces the roundoff noise in a digital filter. The pipelined recursive lattice and wave digital filters presented are well suited where increasing speed and reducing area or power ...
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Cryptography and Lattices
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by
Joseph H Silverman
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 ...
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Trellises and Trellis-Based Decoding Algorithms for Linear Block Codes
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by
Shu Lin, Lin Shu Lin, Tadao Kasami
As the demand for data reliability increases, coding for error control becomes increasingly important in data transmission systems and has become an integral part of almost all data communication system designs. In recent years, various trellis-based soft-decoding algorithms for linear block codes have been devised. New ideas developed in the ...
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Sphere Packings, Lattices, and Groups
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by
John Horton Conway
The third edition of this timely, 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 continue to examine related problems such as the kissing number problem, the covering problem, the quantizing problem, and the ...
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Symmetry Principles in Solid State and Molecular Physics
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by
Melvin J Lax
High-level text applies group theory to physics problems, develops methods for solving molecular vibration problems and for determining the form of crystal tensors, develops translational properties of crystals, more. 1974 edition.
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The Dilworth Theorems
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by
K. Bogart, R. Freese, J. Kung
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Lattices and Ordered Algebraic Structures
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by
T S Blyth
This book provides a lucid and concise introduction to the basic results concerning the notion of an order. Although it is mainly intended for beginning postgraduates, the prerequisites are minimal and selected parts can profitably be used to broaden the horizon of the advanced undergraduate. The treatment is modern, with a slant towards recent ...
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