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fysicochemie --- Chemical and physical cristallography --- Crystallography, Mathematical. --- Crystallography --- Spectrum analysis --- Group theory --- Chemical and physical crystallography

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Algebraic topology --- Calcul des variations --- Calculus of variations --- Critical point theory (Mathematical analysis) --- Groupes symétriques --- Kritieke punt [Theorie van het ] (Wiskundige analyse) --- Point critique [Theorie du ] (Analyse mathematique) --- Symmetric groups --- Symmetrische groepen --- Variatieberekening --- Calculus of variations. --- 51 --- Symmetry groups --- Differential topology --- Global analysis (Mathematics) --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Groups, Symmetry --- Crystallography, Mathematical --- Quantum theory --- Representations of groups --- Mathematics --- 51 Mathematics

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The purpose of coding theory is the design of efficient systems for  the transmission of information. The mathematical treatment leads to  certain finite structures: the error-correcting codes. Surprisingly  problems which are interesting for the design of codes turn out to be  closely related to problems studied partly earlier and independently  in pure mathematics. In this book, examples of such connections are  presented. The relation between lattices studied in number theory and  geometry and error-correcting codes is discussed. The book provides at the same time an introduction to the theory of integral lattices and modular forms and to coding theory. In the 3rd edition, again numerous corrections and improvements have been made and the text has been updated. Content Lattices and Codes -Theta Functions and Weight Enumerators - Even Unimodular Lattices - The Leech Lattice - Lattices over Integers of Number Fields and Self-Dual Codes. Readership Graduate Students in Mathematics and Computer Science Mathematicians and Computer Scientists About the Author Prof. Dr. Wolfgang Ebeling, Institute of Algebraic Geometry, Leibniz Universität Hannover, Germany.

Lattice theory. --- Coding theory. --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Mathematics. --- Algebra. --- Mathematics, general. --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Mathematics --- Mathematical analysis --- Math --- Science

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Algebra --- Algebra, Universal --- Algebra, Abstract --- Lattice theory --- Algèbre universelle --- Algèbre abstraite --- Théorie des treillis --- Periodicals. --- Periodicals --- Périodiques --- Algèbre universelle --- Treillis, Théorie des --- #TS:WDEP --- Mathematical Sciences --- General and Others --- Applied Mathematics --- Mathematical Sciences. --- General and Others. --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Multiple --- Multiple algebra --- N-way algebra --- Universal algebra --- Algebre universelle --- Treillis, Theorie des --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Numbers, Complex --- Lattice theory.

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Algebra --- Algebraic varieties --- Algebraïsche variëteiten --- Lattice theory --- Roostertheorie --- Treillis [Theorie des ] --- Variétés algébriques --- Algebraic varieties. --- 51 --- Lattices (Mathematics) --- Space lattice (Mathematics) --- Structural analysis (Mathematics) --- Algebra, Abstract --- Algebra, Boolean --- Group theory --- Set theory --- Topology --- Transformations (Mathematics) --- Crystallography, Mathematical --- Varieties, Algebraic --- Geometry, Algebraic --- Linear algebraic groups --- Mathematics --- 51 Mathematics --- Lattice theory. --- Treillis, Théorie des --- Modular lattices. --- Treillis modulaires. --- Algèbre universelle. --- Algebra, Universal --- Algèbre universelle --- Algebra, Universal. --- Treillis, Théorie des --- Logique mathématique --- Théorie des modèles --- Ordres (mathematiques) --- Treillis