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This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field.

Error-correcting codes (Information theory) --- Codes, Error-correcting (Information theory) --- Error-detecting codes (Information theory) --- Forbidden-combination check (Information theory) --- Self-checking codes (Information theory) --- Artificial intelligence --- Automatic control --- Coding theory --- Information theory --- 519.7 --- 681.3*E4 --- 519.7 Mathematical cybernetics --- Mathematical cybernetics --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Ergodic theory. Information theory --- Mathematical control systems --- Error-correcting codes (Information theory). --- Coding theory. --- Data compression (Telecommunication) --- Digital electronics --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Codage --- Codes correcteurs d'erreurs (théorie de l'information)

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Numbers, Natural --- Sequences (Mathematics) --- Suites (Mathématiques)

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Er war eines der grössten Genies des 20. Jahrhunderts, der Vater des Bits und Pionier unseres Informationszeitalters. Doch Claude Shannon zeichnete sich nicht nur durch Gedankenschärfe und Einfallsreichtum, sondern auch durch Humor und Originalität aus. Der Begründer der Informationstheorie bastelte in seiner Freizeit an Jonglierrobotern, Schachcomputern und programmierbaren Blechmäusen. Im Büro fuhr er Einrad oder jonglierte mit Keulen. Das Heinz Nixdorf MuseumsForum in Paderborn zeigt in der Ausstellung "Codes und Clowns" vom 6. November 2009 bis 28. Februar 2010 eine Auswahl seiner Erfindungen, deren Funktion von höchst brauchbar bis nutzlos reichen konnte.

Telecommunication --- Information theory --- Computers --- Electrical & Computer Engineering --- Engineering & Applied Sciences --- Telecommunications --- Shannon, Claude Elwood,