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Author: Sabrina Bendjaballah
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110691973
Category : Language Arts & Disciplines
Languages : en
Pages : 307
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Book Description
Element Theory (ET) covers a range of approaches that consider privativity a central tenet defining the internal structure of segments. This volume provides an overview and extension of this program, exploring new lines of research within phonology and at its interface (phonetics and syntax). The present collection reflects on issues concerning the definition of privative primes, their interactions, organization, and the operations that constrain phonological and syntactic representations. The contributions reassess theoretical questions, which have been implicitly taken for granted, regarding privativity and its corollaries. On the empirical side, it explores the possibilities ET offers to analyze specific languages and phonological phenomena.
Author: Sabrina Bendjaballah
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110691973
Category : Language Arts & Disciplines
Languages : en
Pages : 307
Get Book Here
Book Description
Element Theory (ET) covers a range of approaches that consider privativity a central tenet defining the internal structure of segments. This volume provides an overview and extension of this program, exploring new lines of research within phonology and at its interface (phonetics and syntax). The present collection reflects on issues concerning the definition of privative primes, their interactions, organization, and the operations that constrain phonological and syntactic representations. The contributions reassess theoretical questions, which have been implicitly taken for granted, regarding privativity and its corollaries. On the empirical side, it explores the possibilities ET offers to analyze specific languages and phonological phenomena.
Author: Tadashi Ochiai
Publisher: American Mathematical Society
ISBN: 1470456729
Category : Mathematics
Languages : en
Pages : 167
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Book Description
Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to $p$-adic $L$-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation of this book is an update of the classical theory for class groups taking into account the changed point of view on Iwasawa theory. The goal of this first part of the two-part publication is to explain the theory of ideal class groups, including its algebraic aspect (the Iwasawa class number formula), its analytic aspect (Leopoldt–Kubota $L$-functions), and the Iwasawa main conjecture, which is a bridge between the algebraic and the analytic aspects. The second part of the book will be published as a separate volume in the same series, Mathematical Surveys and Monographs of the American Mathematical Society.
Author: Tadashi Ochiai
Publisher: American Mathematical Society
ISBN: 1470456737
Category : Mathematics
Languages : en
Pages : 228
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Book Description
Iwasawa theory began in the late 1950s with a series of papers by Kenkichi Iwasawa on ideal class groups in the cyclotomic tower of number fields and their relation to $p$-adic $L$-functions. The theory was later generalized by putting it in the context of elliptic curves and modular forms. The main motivation for writing this book was the need for a total perspective of Iwasawa theory that includes the new trends of generalized Iwasawa theory. Another motivation is to update the classical theory for class groups, taking into account the changed point of view on Iwasawa theory. The goal of this second part of the three-part publication is to explain various aspects of the cyclotomic Iwasawa theory of $p$-adic Galois representations.
Author: Phillip Backley
Publisher: Edinburgh University Press
ISBN: 0748637443
Category : Language Arts & Disciplines
Languages : en
Pages : 225
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Book Description
Describing a new and appealing way of analysing speech sounds, this book introduces you to the theory of elements in phonology. Traditional features are capable of describing segments and segmental patterns, but they are often unable to explain why those patterns are the way they are. By using elements to represent segmental structure, we begin to understand why languages show such a strong preference for certain kinds of segments, contrasts, phonological processes and sound changes. Using examples from a wide range of languages, this book demonstrates the process of analysing phonological data using elements, and gives readers the opportunity to compare element-based and feature-based accounts of the same phonological patterns. Backley also challenges traditional views through his innovative analysis of English weak vowels and diphthongs and hsi unified treatment of linking r and intrusive r as glide formation processes. Providing a thorough introduction to the main topics in segmental phonology, this is an excellent overview for both students with a background in standard phonology as well as for those who are new to the field.Key Features* Provides a full and up-to-date description of Element Theory * Includes examples from many languages and various dialects of English * Further reading suggested for each topic * Contains over 100 illustrations, including spectral and spectrographic figures
Author: Cécile Dewitt-Morette
Publisher: Springer Science & Business Media
ISBN: 9401145423
Category : Science
Languages : en
Pages : 417
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Book Description
It has been said that `String theorists talk to string theorists and everyone else wonders what they are saying'. This book will be a great help to those researchers who are challenged by modern quantum field theory. Quantum field theory experienced a renaissance in the late 1960s. Here, participants in the Les Houches sessions of 1970/75, now key players in quantum field theory and its many impacts, assess developments in their field of interest and provide guidance to young researchers challenged by these developments, but overwhelmed by their complexities. The book is not a textbook on string theory, rather it is a complement to Polchinski's book on string theory. It is a survey of current problems which have their origin in quantum field theory.
Author: F.D. Kamareddine
Publisher: Springer Science & Business Media
ISBN: 1402023359
Category : Mathematics
Languages : en
Pages : 367
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Book Description
This book provides an overview of type theory. The first part of the book is historical, yet at the same time, places historical systems in the modern setting. The second part deals with modern type theory as it developed since the 1940s, and with the role of propositions as types (or proofs as terms. The third part proposes new systems that bring more advantages together.
Author: Ning Yu
Publisher: Walter de Gruyter
ISBN: 3110213346
Category : Language Arts & Disciplines
Languages : en
Pages : 487
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Book Description
This book is a cognitive semantic study of the Chinese conceptualization of the heart, traditionally seen as the central faculty of cognition. The Chinese word xin, which primarily denotes the heart organ, covers the meanings of both "heart" and "mind" as understood in English, which upholds a heart-head dichotomy. In contrast to the Western dualist view, Chinese takes on a more holistic view that sees the heart as the center of both emotions and thought. The contrast characterizes two cultural traditions that have developed different conceptualizations of person, self, and agent of cognition. The concept of "heart" lies at the core of Chinese thought and medicine, and its importance to Chinese culture is extensively manifested in the Chinese language. Diachronically, this book traces the roots of its conception in ancient Chinese philosophy and traditional Chinese medicine. Along the synchronic dimension, it not only makes a systematic analysis of conventionalized expressions that reflect the underlying cultural models and conceptualizations, as well as underlying conceptual metaphors and metonymies, but also attempts a textual analysis of an essay and a number of poems for their metaphoric and metonymic images and imports contributing to the cultural models and conceptualizations. It also takes up a comparative perspective that sheds light on similarities and differences between Western and Chinese cultures in the understanding of the heart, brain, body, mind, self, and person. The book contributes to the understanding of the embodied nature of human cognition situated in its cultural context, and the relationship between language, culture, and cognition.
Author: Karen Yeats
Publisher: Springer
ISBN: 3319475517
Category : Science
Languages : en
Pages : 120
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Book Description
This book explores combinatorial problems and insights in quantum field theory. It is not comprehensive, but rather takes a tour, shaped by the author’s biases, through some of the important ways that a combinatorial perspective can be brought to bear on quantum field theory. Among the outcomes are both physical insights and interesting mathematics. The book begins by thinking of perturbative expansions as kinds of generating functions and then introduces renormalization Hopf algebras. The remainder is broken into two parts. The first part looks at Dyson-Schwinger equations, stepping gradually from the purely combinatorial to the more physical. The second part looks at Feynman graphs and their periods. The flavour of the book will appeal to mathematicians with a combinatorics background as well as mathematical physicists and other mathematicians.
Author: Jörg Bewersdorff
Publisher: American Mathematical Soc.
ISBN: 1470465000
Category : Education
Languages : en
Pages : 242
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Book Description
Galois theory is the culmination of a centuries-long search for a solution to the classical problem of solving algebraic equations by radicals. In this book, Bewersdorff follows the historical development of the theory, emphasizing concrete examples along the way. As a result, many mathematical abstractions are now seen as the natural consequence of particular investigations. Few prerequisites are needed beyond general college mathematics, since the necessary ideas and properties of groups and fields are provided as needed. Results in Galois theory are formulated first in a concrete, elementary way, then in the modern form. Each chapter begins with a simple question that gives the reader an idea of the nature and difficulty of what lies ahead. The applications of the theory to geometric constructions, including the ancient problems of squaring the circle, duplicating the cube, and trisecting the angle, and the construction of regular n n-gons are also presented. This new edition contains an additional chapter as well as twenty facsimiles of milestones of classical algebra. It is suitable for undergraduates and graduate students, as well as teachers and mathematicians seeking a historical and stimulating perspective on the field.
Author: John Robert Burger
Publisher: Springer Science & Business Media
ISBN: 1461464129
Category : Medical
Languages : en
Pages : 240
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Book Description
This book models an idealized neuron as being driven by basic electrical elements, the goal being to systematically characterize the logical properties of neural pulses. In order to constitute a system, neurons as pulsating devices may be represented using novel circuit elements as delineated in this book. A plausible brain system is implied by the delineated elements and logically follows from known and likely properties of a neuron. New to electrical science are novel pulse-related circuit elements involving recursive neurons. A recursive neuron, when properly excited, produces a self-sustaining pulse train that when sampled, provides a true output with a specified probability, and a false output with complementary probability. Because of its similarity to the qubits of quantum mechanics, the recursive pulsating neuron is termed a simulated qubit. Recursive neurons easily function as controlled toggle devices and so are capable of massively parallel calculations, this being a new dimension in brain functioning as described in this book. Simulated qubits and their possibilities are compared to the qubits of quantum physics. Included in the book are suggested neural circuits for associative memory search via a randomized process of cue selection, and neural circuits for priority calculations. These serve to select returns from long term memory, which in turn determines one's next conscious thought or action based on past memorized experiences. The book reports on proposals involving electron tunneling between synapses, and quantum computations within neurons. Although not a textbook, there are easy exercises at the ends of chapters, and in the appendix there are twelve simulation experiments concerning neurons.
