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Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside. Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations. This book is the first book ever giving a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significant approaches appeared in the literature. Also, stream ciphers, PK cryptography, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While many short notes hint at new exciting directions, the reader will find that all chapters fit nicely within a unified notation.

Coding theory. --- Cryptography. --- Gro ̈bner bases. --- Grèobner bases --- Coding theory --- Cryptography --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Gröbner bases. --- Gröbner basis theory --- Cryptanalysis --- Cryptology --- Secret writing --- Steganography --- Mathematics. --- Data encryption (Computer science). --- Computers. --- Computer science --- Algebra. --- Discrete mathematics. --- Combinatorics. --- Discrete Mathematics. --- Data Encryption. --- Mathematics of Computing. --- Theory of Computation. --- Commutative algebra --- Signs and symbols --- Symbolism --- Writing --- Ciphers --- Data encryption (Computer science) --- Data compression (Telecommunication) --- Digital electronics --- Information theory --- Machine theory --- Signal theory (Telecommunication) --- Computer programming --- Computer science. --- Information theory. --- Cryptology. --- Communication theory --- Communication --- Cybernetics --- Informatics --- Science --- Data encoding (Computer science) --- Encryption of data (Computer science) --- Computer security --- Combinatorics --- Mathematical analysis --- Computer science—Mathematics. --- Discrete mathematical structures --- Mathematical structures, Discrete --- Structures, Discrete mathematical --- Numerical analysis --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Calculators --- Cyberspace --- Grobner bases.

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The Second Industrial Revolution, new industrial societies, and growing urbanization drastically changed the life of humankind at the turn of the nineteenth and twentieth centuries. This volume investigates how the articulated musical world of the time was influenced by industrialization, how urbanization and new forms of circulation affected everyday life, and how new possibilities of experiencing cities and their musical entertainments came to light. In which ways did new forms of circulation influence the life of theatres and concert halls, the growing of orchestras, and the related birth of new workers? organizations? One section will be devoted to the development of the making of musical instruments, the related world of universal exhibitions, and music publishing. This volume also investigates new forms of mechanical reproduction in music, together with their many applications within society. Through the analysis of selected works, the volume also examines aesthetic perceptions of technological impact and its projections in an imaginary future

Music --- Social aspects --- History and criticism

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The volume focuses on the role of music publishing between 18th and 19th century. The development of music publishing in the final years of the eighteenth and first decades of the nineteenth century had a decisive and far-reaching influence on every facet of the music profession. The proliferation of publications substantially altered the conception of the musical work and the nature and extent of intellectual property. Increasingly this allowed composers to support themselves financially through the sale of their own works, or even to establish, or collaborate in, publishing houses. The needs of contemporary consumers of music and new approaches to the production and dissemination of the musical work conditioned, and were conditioned by, the ever-evolving spheres of public and domestic performance that, in turn, stimulated the emergence of new musical forms and genres. This book focuses on the role of music publishing within the daily life and activities of composers at the turn of the nineteenth century, and its impact on subsequent patterns of development that influenced the course of nineteenth-century music.

Music publishing --- Music publishers --- History --- Music publishing - History - 18th century - Congresses --- Music publishing - History - 19th century - Congresses --- Music --- muziekuitgeverijen --- muziekgeschiedenis --- componisten --- anno 1700-1799 --- anno 1800-1899

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Clementi, Muzio

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