Download or read book Codes And Modular Forms A Dictionary written by Minjia Shi and published by World Scientific. This book was released on 2019-11-20 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are connections between invariant theory and modular forms since the times of Felix Klein, in the 19th century, connections between codes and lattices since the 1960's. The aim of the book is to explore the interplay between codes and modular forms. Here modular form is understood in a wide sense (Jacobi forms, Siegel forms, Hilbert forms). Codes comprises not only linear spaces over finite fields but modules over some commutative rings. The connection between codes over finite fields and lattices has been well documented since the 1970s. Due to an avalanche of results on codes over rings since the 1990's there is a need for an update at book level.
Download or read book Self Dual Codes and Invariant Theory written by Gabriele Nebe and published by Springer Science & Business Media. This book was released on 2006-02-09 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory, which has inspired hundreds of papers about generalizations and applications of this theorem to different types of codes. This self-contained book develops a new theory which is powerful enough to include all the earlier generalizations.
Download or read book Selected Unsolved Problems in Coding Theory written by David Joyner and published by Springer Science & Business Media. This book was released on 2011-08-26 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using an original mode of presentation, and emphasizing the computational nature of the subject, this book explores a number of the unsolved problems that still exist in coding theory. A well-established and highly relevant branch of mathematics, the theory of error-correcting codes is concerned with reliably transmitting data over a ‘noisy’ channel. Despite frequent use in a range of contexts, the subject still contains interesting unsolved problems that have resisted solution by some of the most prominent mathematicians of recent decades. Employing Sage—a free open-source mathematics software system—to illustrate ideas, this book is intended for graduate students and researchers in algebraic coding theory. The work may be used as supplementary reading material in a graduate course on coding theory or for self-study.
Download or read book Codes and Rings written by Minjia Shi and published by Academic Press. This book was released on 2017-06-12 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied aspects of rings and coding theory. New research covered by the book encompasses skew cyclic codes, decomposition theory of quasi-cyclic codes and related codes and duality over Frobenius rings. Primarily suitable for ring theorists at PhD level engaged in application research and coding theorists interested in algebraic foundations, the work is also valuable to computational scientists and working cryptologists in the area. Consolidates 20+ years of research in one volume, helping researchers save time in the evaluation of disparate literature Discusses duality formulas in the context of Frobenius rings Reviews decomposition of quasi-cyclic codes under ring action Evaluates the ideal and modular structure of skew-cyclic codes Supports applications in data compression, distributed storage, network coding, cryptography and across error-correction
Download or read book The Dictionary of Genomics Transcriptomics and Proteomics written by Guenter Kahl and published by John Wiley & Sons. This book was released on 2015-06-17 with total page 2742 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its fifth edition and for the first time available as an electronic product with all entries cross-linked. This very successful long-seller has once again been thoroughly updated and greatly expanded. It now contains over 13,000 entries, and comprehensively covering genomics, transcriptomics, and proteomics. Each entry contains an extensive explanation, including a comprehensive listing of synonyms and acronyms, and all formulas have been redrawn to create a uniform style, while most of the figures are custom designed for this dictionary. The ultimate reference for all terms in the -omics fields.
Download or read book Dictionary of Biological Psychology written by Philip Winn and published by Routledge. This book was released on 2003-09-02 with total page 1866 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biological Psychology is the study of psychological processes in terms of biological functions. A major obstacle to understanding dialogue in the field has always been its terminology which is drawn from a variety of non-psychological sources such as clinical medicine, psychiatry and neuroscience, as well as specialist areas of psychology such as ethology, learning theory and psychophysics. For the first time, a distinguished international team of contributors has now drawn these terms together and defined them both in terms of their physical properties and their behavioural significance. The Dictionary of Biological Psychology will prove an invaluable source of reference for undergraduates in psychology wrestling with the fundamentals of brain physiology, anatomy and chemistry, as well as researchers and practitioners in the neurosciences, psychiatry and the professions allied to medicine. It is an essential resource both for teaching and for independent study, reliable for fact-checking and a solid starting point for wider exploration.
Download or read book The Dictionary of Multimedia 1999 written by Brad Hansen and published by Routledge. This book was released on 2014-01-27 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for programmers, graphic artists, writers, video producers, audio engineers, network managers, hardware technicians, and telecommunications professionals who embrace the complex world of digital media and realize the need for a common language in which to communicate with one another.
Download or read book Hilbert Modular Forms and Iwasawa Theory written by Haruzo Hida and published by Oxford University Press. This book was released on 2006-06-15 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Describing the applications found for the Wiles and Taylor technique, this book generalizes the deformation theoretic techniques of Wiles-Taylor to Hilbert modular forms (following Fujiwara's treatment), and also discusses applications found by the author.
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1884 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Medical Informatics Europe 99 written by Peter Kokol and published by IOS Press. This book was released on 1999 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume seeks to reflect the state of the art on medical informatics. It presents ideas that will guide the process of medical informatics. Topics in the book include: information systems in health care and medicine; telemedicine and telematics; security; biomedical processing, data mining and knowledge discovery; training and education; Internet/intranet; resources management; intelligent medical systems; health guidelines and protocols; electronic patient encounter, card technology, electronic data interchange; terminology; nursing informatics.
Download or read book Computerized CIM Dictionary written by Dell K. Allen and published by . This book was released on 1991 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Reviews in Number Theory 1984 96 written by and published by . This book was released on 1997 with total page 1032 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Publishers Weekly written by and published by . This book was released on 1962 with total page 1804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Webster s New World Dictionary of Computer Terms written by Bryan Pfaffenberger and published by MacMillan Reference Library. This book was released on 1997 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: The eighth edition of Webster's New World "TM" Dictionary of Computer Terms is fully revised and updated with new terms specific to the Internet and World Wide Web and with more than 4,000 of the most important computer terms, acronyms, and jargon.-- Comprehensive definitions in a compact format, priced to sell-- Clear tables detailing special reference information, such as label prefixes, hexadecimals, and video resolution
Download or read book Sanskrit Computational Linguistics written by Gérard Huet and published by Springer Science & Business Media. This book was released on 2009-03-09 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sanskrit is the primary culture-bearing language of India, with a continuous production of literature in all ?elds of human endeavor over the course of four millennia. Precededbyastrongoraltraditionofknowledgetransmission,records of written Sanskrit remain in the form of inscriptions dating back to the ?rst centuryB. C. E. Extantmanuscriptsin Sanskritnumber over30million,one h- dred times those in Greek and Latin combined, constituting the largest cultural heritage that any civilization has produced prior to the invention of the printing press. Sanskrit works include extensive epics; subtle and intricate philosophical, mathematical, medical, legal, and scienti?c treatises; and imaginative and rich literary,poetic,anddramatictexts. WhiletheSanskritlanguageisofpreeminent importance to the intellectual and cultural heritage of India, the importance of the intellectual and cultural heritage of India to the rest of the world during the pastfewmillennia andinthe presenteracanhardlybe overestimated. The int- lectualandculturalheritageofIndia hasbeen amajorfactor inthedevelopment of the world's religions, languages, literature, arts, sciences, and history. Sanskritdocumentsaremovingintothedigitalmedium. Recentdecadeshave witnessed the growth of machine-readable Sanskrit texts in archives such as 1 the Thesaurus Indogermanischer Text- und Sprachmaterialien (TITUS), Ky- 2 3 oto University, Indology, the Gottingen ¨ Register of Electronic Texts in In- 4 dian Languages. The last few years have witnessed a burgeoning of digital images of Sanskrit manuscripts and books hosted on-line.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computers in Cardiology written by and published by . This book was released on 1983 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:
