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Ordered algebraic structures --- Coding theory. --- Geometry, Algebraic. --- 519.725 --- #WWIS:didaktiek --- #KOPO:Prof. R. Holvoet --- 519.72 --- Algebraic theory of error-correcting codes --- Information theory: mathematical aspects --- 519.72 Information theory: mathematical aspects --- 519.725 Algebraic theory of error-correcting codes
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519.725 --- #KOPO:Prof. R. Holvoet --- 681.3*E4 --- Algebraic theory of error-correcting codes --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- 519.725 Algebraic theory of error-correcting codes
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Mathematical control systems --- cryptografie --- 519.725 --- Algebraic theory of error-correcting codes --- 519.725 Algebraic theory of error-correcting codes --- Ciphers --- Cryptography --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- Signs and symbols --- Symbolism --- Writing --- Data encryption (Computer science) --- Codes --- Contractions --- Abbreviations --- Code names --- Ciphers. --- Cryptography.
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Mathematical control systems --- Computer. Automation --- Error-correcting codes (Information theory) --- Codes correcteurs d'erreurs (Théorie de l'information) --- 512.624 --- 519.725 --- 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 --- Finite fields. Perfect difference sets --- Algebraic theory of error-correcting codes --- Error-correcting codes (Information theory). --- 519.725 Algebraic theory of error-correcting codes --- 512.624 Finite fields. Perfect difference sets --- Codes correcteurs d'erreurs (Théorie de l'information)
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Lie superalgebras. --- Duality theory (Mathematics) --- Algebra --- Mathematical analysis --- Topology --- Lie algebras --- Superalgebras --- Lie superalgebras --- Duality theory (Mathematics). --- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights). --- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Simple, semisimple, reductive (super)algebras.
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Integration of differential equations is a central problem in mathematics and several approaches have been developed by studying analytic, algebraic, and algorithmic aspects of the subject. One of these is Differential Galois Theory, developed by Kolchin and his school, and another originates from the Soliton Theory and Inverse Spectral Transform method, which was born in the works of Kruskal, Zabusky, Gardner, Green and Miura. Many other approaches have also been developed, but there has so far been no intersection between them. This unique introduction to the subject finally brings them together, with the aim of initiating interaction and collaboration between these various mathematical communities. The collection includes a LMS Invited Lecture Course by Michael F. Singer, together with some shorter lecture courses and review articles, all based upon a mini-programme held at the International Centre for Mathematical Sciences (ICMS) in Edinburgh.
Differential equations --- Algebraic number theory --- Differential calculus --- Differential algebra --- Equations différentielles --- Théorie des nombres algébriques --- Calcul différentiel --- Algèbre différentielle --- Congresses --- Congrès --- Algebraic theory --- Calculus, Differential --- Calculus --- 517.91 Differential equations --- Algebra, Differential --- Differential fields --- Algebraic fields
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From the reviews: "The 2nd (slightly enlarged) edition of the van Lint's book is a short, concise, mathematically rigorous introduction to the subject. Basic notions and ideas are clearly presented from the mathematician's point of view and illustrated on various special classes of codes...This nice book is a must for every mathematician wishing to introduce himself to the algebraic theory of coding." European Mathematical Society Newsletter, 1993 "Despite the existence of so many other books on coding theory, this present volume will continue to hold its place as one of the standard texts...." The Mathematical Gazette, 1993
519.725 --- Coding theory --- 681.3*E4 --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Algebraic theory of error-correcting codes --- Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- Coding theory. --- 681.3*E4 Coding and information theory: data compaction and compression; formal modelsof communication; nonsecret encoding schemes--See also {681.3*H11} --- 519.725 Algebraic theory of error-correcting codes --- Codage. --- Combinatorics. --- Algebraic geometry. --- Number theory. --- Algebraic Geometry. --- Number Theory. --- Number study --- Numbers, Theory of --- Algebra --- Algebraic geometry --- Geometry --- Combinatorics --- Mathematical analysis --- Codage --- Codes correcteurs d'erreurs (théorie de l'information) --- Information, Théorie de l'
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Lie superalgebras. --- Universal enveloping algebras. --- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Universal enveloping (super)algebras. --- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Representations, algebraic theory (weights). --- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Simple, semisimple, reductive (super)algebras. --- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Root systems. --- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Exceptional (super)algebras. --- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Solvable, nilpotent (super)algebras. --- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Automorphisms, derivations, other operators. --- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Homological methods in Lie (super)algebras. --- Nonassociative rings and algebras -- Lie algebras and Lie superalgebras -- Cohomology of Lie (super)algebras. --- Associative rings and algebras -- Rings and algebras arising under various constructions -- Universal enveloping algebras of Lie algebras.
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algebraic theory --- nonlinear scale space theory --- discrete geometry and combinatorial topology --- image filtering --- computational mathematical morphology --- random sets theory --- Image processing --- Signal processing --- Digital filters (Mathematics) --- Logic, Symbolic and mathematical --- Logic, Symbolic and mathematical. --- Mathematics --- Mathematics. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Data smoothing filters --- Filters, Digital (Mathematics) --- Linear digital filters (Mathematics) --- Linear filters (Mathematics) --- Numerical filters --- Smoothing filters (Mathematics) --- Digital electronics --- Filters (Mathematics) --- Fourier transformations --- Functional analysis --- Numerical analysis --- Numerical calculations --- Processing, Signal --- Information measurement --- Signal theory (Telecommunication) --- Pictorial data processing --- Picture processing --- Processing, Image --- Imaging systems --- Optical data processing --- Traitement d'images --- Traitement du signal --- Filtres numériques (Mathématiques) --- Logique symbolique et mathématique --- Mathématiques
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