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Automorphic Forms and L-Functions for the Group GL(n,R)

Automorphic Forms and L-Functions for the Group GL(n,R) PDF Author: Dorian Goldfeld
Publisher: Cambridge University Press
ISBN: 1139456202
Category : Mathematics
Languages : en
Pages : 65

Book Description
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

Automorphic Forms and L-Functions for the Group GL(n,R)

Automorphic Forms and L-Functions for the Group GL(n,R) PDF Author: Dorian Goldfeld
Publisher: Cambridge University Press
ISBN: 1139456202
Category : Mathematics
Languages : en
Pages : 65

Book Description
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

Advanced R

Advanced R PDF Author: Hadley Wickham
Publisher: CRC Press
ISBN: 1498759807
Category : Mathematics
Languages : en
Pages : 669

Book Description
An Essential Reference for Intermediate and Advanced R Programmers Advanced R presents useful tools and techniques for attacking many types of R programming problems, helping you avoid mistakes and dead ends. With more than ten years of experience programming in R, the author illustrates the elegance, beauty, and flexibility at the heart of R. The book develops the necessary skills to produce quality code that can be used in a variety of circumstances. You will learn: The fundamentals of R, including standard data types and functions Functional programming as a useful framework for solving wide classes of problems The positives and negatives of metaprogramming How to write fast, memory-efficient code This book not only helps current R users become R programmers but also shows existing programmers what’s special about R. Intermediate R programmers can dive deeper into R and learn new strategies for solving diverse problems while programmers from other languages can learn the details of R and understand why R works the way it does.

Biomolecular Forms and Functions

Biomolecular Forms and Functions PDF Author: Manju Bansal
Publisher: World Scientific
ISBN: 9814449148
Category : Computers
Languages : en
Pages : 515

Book Description
This volume is primarily a compilation of contributed articles representing the impact and application of Ramachandran's work on conformation analysis of biopolymers, as well as recent advances in macromolecular structural biology, involving diverse experimental and computational approaches. This volume is being published to coincide with a conference on "Biomolecular Forms and Functions: A celebration of 50 years of the Ramachandran Map" being held at the Indian Institute of Science, Bangalore, in January 2013.

Following Forms, Following Functions

Following Forms, Following Functions PDF Author: Federica Pau
Publisher: Cambridge Scholars Publishing
ISBN: 1527514722
Category : Art
Languages : en
Pages : 149

Book Description
This volume of collected essays is devoted to the analysis of the relationship between form and function, two concepts that have played, and continue to play, an important role in several disciplines, from philosophical reflection to theoretical biology, and from the discourses related to art, image and design to cultural anthropology. As such, this book explores the influence of these two notions in such a broad disciplinary field, in order to draw out an original global overview on the subject. For this purpose, it presents contributions by aestheticians, art historians, archaeologists, ethnoanthropologists, and morphologists, covering a wide chronological span, from Ancient Greece to the Middle Ages, and from Modernism to more recent events that still need to be historicized.

Forms and Functions of Meta-Discourse

Forms and Functions of Meta-Discourse PDF Author: Maria Cristina Lo Baido
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110799855
Category : Language Arts & Disciplines
Languages : en
Pages : 296

Book Description
This book constitutes the first systematic analysis of meta-discourse in the spoken domain, addressing the question of how, why, and when speakers switch from discourse to meta-discourse by means of comment clauses (e.g., ‘I think’). The case of Present-day Italian is considered, exploring the internal properties of comment clauses (e.g., morphosyntax and semantics of the verb), their relations with the surrounding discourse (e.g., position of comment clause), and their prosodic profiles. This study shows that speakers recur to meta-discourse to convey a non-random set of functions, having mainly to do with the online process of reference construction (e.g., approximation and reformulation) and with the degree of speaker’s commitment (e.g., epistemicity and emphasis). Comment clauses are also used as attention-getting or topic-resuming devices, though less frequently. One of the most interesting results of this study is the identification of a close relation between meta-discourse and stance-taking in spoken domain, with speakers recurring to comment clauses to convey their attitude. Finally, meta-discourse turns out to be highly influenced, if not constrained, by universal properties of the spoken domain (i.e., non-linearity).

Reflexives

Reflexives PDF Author: Zygmunt Frajzyngier
Publisher: John Benjamins Publishing
ISBN: 9027298599
Category : Language Arts & Disciplines
Languages : en
Pages : 304

Book Description
The importance of reflexive markers in the study of language structure cannot be underestimated: they participate in the coding of the argument structure of a clause; in the coding of semantic relations between arguments and verbs; in the coding of the relationship between arguments; in the coding of aspect; in the coding of point of view; and in the Coding of the information structure of a clause. The present volume offers an approach to reflexive forms and functions from several perspectives: a formal approach where reflexives are discussed within a well-defined model of language representation; a typological approach; a historical approach concentrating on grammaticalization of reflexives and on the changes that pronouns and anaphors undergo; and a functionalist approach where functions of reflexive forms are described. The languages from which data were drawn represent a wide variety of language families and language types: English, Old English, Dutch, German, Tsakhur (Nakh-Dagestanian), Spanish, French, Bantu and Chadic languages. The variety of languages discussed and the different approaches taken complement each other in that each contributes an important piece to the understanding of reflexives in a cross-linguistic perspective.

Animal Forms And Functions: Invertebrata

Animal Forms And Functions: Invertebrata PDF Author: Prakash Puranik
Publisher: Sarup & Sons
ISBN: 9788176257916
Category : Invertebrates
Languages : en
Pages : 492

Book Description


Reported Speech

Reported Speech PDF Author: Theodorus Albertus Johannes Maria Janssen
Publisher: John Benjamins Publishing
ISBN: 9027250561
Category : Language Arts & Disciplines
Languages : en
Pages : 320

Book Description
In sentences containing reported speech, thought, or perception, it is possible to distinguish different voices or views, associated with different discourse roles. They originate in two different clauses: one clause signals a reporting situation, and the other a reported situation. This volume examines the methods used for combining these two types of clauses in a range of languages. In each of the contributions, the focus is on the forms and functions of verbs; topics dealt with include the meaning of tense, mood, and aspect (and their interaction) in the various types of reported speech, the speech act status of reported utterances, correlations between reporting verbs and verbs in reported clauses (and the conjunctions introducing them), and possible intra-systemic and cross-linguistic correlations of these properties. The articles concentrate on the Slavic languages Russian, Bulgarian, Macedonian, Serbian, Croatian, and Slovene, the Romance languages Latin, Old and Modern French, and Spanish, the Germanic languages Swedish, German, Dutch, and English, the Indo-Iranian language Bengali, and Mandarin Chinese.

The Forms and Functions of Tort Law

The Forms and Functions of Tort Law PDF Author: Kenneth S. Abraham
Publisher: West Publishing Company
ISBN:
Category : Law
Languages : en
Pages : 306

Book Description
The perfect accompaniment to any torts casebook, The Forms and Functions of Tort Law covers all the major cases and issues in the standard torts course, sharing Professor Abraham's scholarly insights developed over 25 years of teaching. This analytical text addresses the cases and analyzes their implications, presenting the law of torts within a curricular context and covering the materials that law students are likely to encounter in a variety of courses. The straightforward, readable text in this paperback addresses both rules and policy and presents topics in a way that helps students grapple with the issues more effectively. Organized in the traditional manner, topics covered include intentional torts, negligence, cause-in-fact, proximate cause, defenses, strict liability, nuisance, products liability, damages, tort reform, invasion of privacy, defamation, misrepresentation, and the economic interference torts. Each chapter stands on its own, making the book ideal for use as a classroom text as well as for self-directed reading by students.

Communicative Functions and Linguistic Forms in Speech Interaction: Volume 156

Communicative Functions and Linguistic Forms in Speech Interaction: Volume 156 PDF Author: Klaus J. Kohler
Publisher: Cambridge University Press
ISBN: 1316762238
Category : Language Arts & Disciplines
Languages : en
Pages : 321

Book Description
Prosody is generally studied at a separate linguistic level from syntax and semantics. It analyses phonetic properties of utterances such as pitch and prominence, and orders them into phonological categories such as pitch accent, boundary tone, and metrical grid. The goal is to define distinctive formal differentiators of meanings in utterances. But what these meanings are is either excluded or a secondary concern. This book takes the opposite approach, asking what are the basic categories of meaning that speakers want to transmit to listeners? And what formal means do they use to achieve it? It places linguistic form in functions of speech communication, and takes into account all the formal exponents - sounds, words, syntax, prosodies - for specific functional coding. Basic communicative functions such as 'questioning' may be universally assumed, but their coding by linguistic bundles varies between languages. A comparison of function-form systems in English, German and Mandarin Chinese shows this formal diversity for universal functions.