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This book contains lectures on theta functions written by experts well known for excellence in exposition. The lectures represent the content of four courses given at the Centre de Recherches Mathematiques in Montreal during the academic year 1991-1992, which was devoted to the study of automorphic forms. Aimed at graduate students, the book synthesizes the classical and modern points of view in theta functions, concentrating on connections to number theory and representation theory. An excellent introduction to this important subject of current research, this book is suitable as a text in advanced graduate courses.
In a future starscape where the children of man have succumbed to humanity's long-forgotten vices, THETA is a story of a dark, twisting dance of intrigue, love and loss among the stars. Stuck in a dramatic struggle between death and life, a young dancer must choose between his enigmatic past and an uncertain future. Unable to let go of what he was, unable to face what he is, beset on all sides by forces he doesn't understand, he's on a collision course with destiny...and his time is running out. For Jale Bercammon, on the other hand, life is comfortable, stable, and slipping on by. Every day is routine, and she’s become an expert at maintaining routine. ... And then she crosses paths with Theta. Reeled in by the enigmatic and sinister Knoskali to explain his disappearance, she soon finds herself stumbling along a dangerous path that will take all of her resolve and ingenuity to survive.
Before she died in 2007, Tanya Reinhart had gone a long way towards developing the Theta System, a theory in which formal features defining the thematic relations of verbs are encoded in the lexicon, enabling an interface between the lexical component and the computational system/syntax, directly, and the Inference system, indirectly. This book considers the recent results and evaluations of Tanya Reinhart's research in both theoretical and experimental domains. After a comprehensive presentation of the framework by the editors, distinguished linguists from all over the world examine the underpinning of the Theta System, compare the framework to alternative approaches, and consider its implications for the architecture of grammar. In addition, they consider and exemplify the applications of the system and offer improvements and extensions. The book is an important contribution to linguistic research. It engages in the key dialogue between competing lexicalist and syntactic approaches to lexico-semantic problems and does so in the context of an impressive array of new empirical data ranging from Germanic, Romance, and Slavic to Ugro-Finnish, and Semitic languages.
Originally published: New York: Rinehart and Winston, 1961.
The first book to be published on the Theta method, outlining under what conditions the method outperforms other forecasting methods This book is the first to detail the Theta method of forecasting – one of the most difficult-to-beat forecasting benchmarks, which topped the biggest forecasting competition in the world in 2000: the M3 competition. Written by two of the leading experts in the forecasting field, it illuminates the exact replication of the method and under what conditions the method outperforms other forecasting methods. Recent developments such as multivariate models are also included, as are a series of practical applications in finance, economics, and healthcare. The book also offers practical tools in MS Excel and guidance, as well as provisional access, for the use of R source code and respective packages. Forecasting with the Theta Method: Theory and Applications includes three main parts. The first part, titled Theory, Methods, Models & Applications details the new theory about the method. The second part, Applications & Performance in Forecasting Competitions, describes empirical results and simulations on the method. The last part roadmaps future research and also include contributions from another leading scholar of the method – Dr. Fotios Petropoulos. First ever book to be published on the Theta Method Explores new theory and exact conditions under which methods would outperform most forecasting benchmarks Clearly written with practical applications Employs R – open source code with all included implementations Forecasting with the Theta Method: Theory and Applications is a valuable tool for both academics and practitioners involved in forecasting and respective software development.
This book is the result of extending and deepening all questions from algebraic geometry that are connected to the central problem of this book: the determination of the tritangent planes of a space curve of order six and genus four, which the author treated in his Colloquium Lecture in 1928 at Amherst. The first two chapters recall fundamental ideas of algebraic geometry and theta functions in such fashion as will be most helpful in later applications. In order to clearly present the state of the central problem, the author first presents the better-known cases of genus two (Chapter III) and genus three (Chapter IV). The case of genus four is discussed in the last chapter. The exposition is concise with a rich variety of details and references.