Boolean Functions

This volume is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The symposium consisted of several short courses, aimed at presenting rigorous but non-technical expositions of the latest research areas, and a number of individual lectures on specific topics. The contributors are all outstanding figures in the area of algebraic number theory and this volume will be of lasting value to students and researchers working in the area.

"Functions and Graphs" is one volume in a series of books that present basic mathematics in a clear and simple form. The book describes a way of transferring formulas and data into geometric forms; th

ABELIAN FUNCTIONS. Power Series in Several Variables. The Preparation Theorem. Regular Functions. Meromorphic Functions. The Theorem of Weierstrass and Cousin. The Period Group. Jacobian Functions. Li

This book brings together into a general setting various techniques in the study of the topological properties of spaces of continuous functions. The two major classes of function space topologies stu

Originally published in 1987, this book is devoted to the approximation of real functions by real rational functions. These are, in many ways, a more convenient tool than polynomials, and interest in them was growing, especially since D. Newman's work in the mid-sixties. The authors aim at presenting the basic achievements of the subject and, for completeness, also discuss some topics from complex rational approximation. Certain classical and modern results from linear approximation theory and spline approximation are also included for comparative purposes. This book will be of value to anyone with an interest in approximation theory and numerical analysis.

The theory of arithmetical functions has always been one of the more active parts of the theory of numbers. The large number of papers in the bibliography, most of which were written in the last forty

When considering a mathematical theorem one ought not only to know how to prove it but also why and whether any given conditions are necessary. All too often little attention is paid to to this side of the theory and in writing this account of the theory of real functions the authors hope to rectify matters. They have put the classical theory of real functions in a modern setting and in so doing have made the mathematical reasoning rigorous and explored the theory in much greater depth than is customary. The subject matter is essentially the same as that of ordinary calculus course and the techniques used are elementary (no topology, measure theory or functional analysis). Thus anyone who is acquainted with elementary calculus and wishes to deepen their knowledge should read this.

Famous Russian work covers basic theory of the more important special functions and their application to specific problems of physics and engineering. Most space devoted to the application of cylinder

A full, clear introduction to the properties and applications of Bessel functions, this self-contained text is equally useful for the classroom or for independent study. Topics include Bessel fu

Students and professionals in the fields of mathematics, physics, engineering, and economics will find this reference work invaluable. A classic resource for working with special functions, standard

Geomathematics provides a comprehensive summary of the mathematical principles behind key topics in geophysics and geodesy, covering the foundations of gravimetry, geomagnetics and seismology. Theorems and their proofs explain why physical realities in geoscience are the logical mathematical consequences of basic laws. The book also derives and analyzes the theory and numerical aspects of established systems of basis functions; and presents an algorithm for combining different types of trial functions. Topics cover inverse problems and their regularization, the Laplace/Poisson equation, boundary-value problems, foundations of potential theory, the Poisson integral formula, spherical harmonics, Legendre polynomials and functions, radial basis functions, the Biot-Savart law, decomposition theorems (orthogonal, Helmholtz, and Mie), basics of continuum mechanics, conservation laws, modelling of seismic waves, the Cauchy-Navier equation, seismic rays, and travel-time tomography. Each chapte

In 1988, E. Verlinde gave a remarkable conjectural formula for the dimension of conformal blocks over a smooth curve in terms of representations of affine Lie algebras. Verlinde's formula arose from physical considerations, but it attracted further attention from mathematicians when it was realized that the space of conformal blocks admits an interpretation as the space of generalized theta functions. A proof followed through the work of many mathematicians in the 1990s. This book gives an authoritative treatment of all aspects of this theory. It presents a complete proof of the Verlinde formula and full details of the connection with generalized theta functions, including the construction of the relevant moduli spaces and stacks of G-bundles. Featuring numerous exercises of varying difficulty, guides to the wider literature and short appendices on essential concepts, it will be of interest to senior graduate students and researchers in geometry, representation theory and theoretical p

General extenders are phrases like 'or something', 'and everything', 'and things (like that)', 'and stuff (like that)', and 'and so on'. Although they are an everyday feature of spoken language, are crucial in successful interpersonal communication, and have multiple functions in discourse, they have so far gone virtually unnoticed in linguistics. This pioneering work provides a comprehensive description of this new linguistic category. It offers new insights into ongoing changes in contemporary English, the effect of grammaticalization, novel uses as associative plural markers and indicators of intertextuality, and the metapragmatic role of extenders in interaction. The forms and functions of general extenders are presented clearly and accessibly, enabling students to understand a number of different frameworks of analysis in discourse-pragmatic studies. From an applied perspective, the book presents a description of translation equivalents, an analysis of second language variation,

This fascinating book offers a comprehensive exploration of Russian English as a World English variety. The authors introduce readers to the history of language contact between Russian and English, which has resulted in the Russianization of English and Englishization of Russian. They also discuss the functions of English as a lingua franca in the domains of politics, business and tourism, as a tool in youth subcultures, education and scholarship, and as a creative means in mass media, advertisement, music and literature. The book engages with the major role of English in expressing a speaker's cultural and personal identity within the global community. This accessible and engaging work presents a great number of concepts within the field of Russian linguistics, as well as introducing readers to the outstanding Russian scholars in the field. Essential reading for students and researchers across a wide range of related fields.

This book introduces readers to several new generalized preinvex functions and generalized invariant monotone functions. It begins by describing the main properties of these functions and various rela

This book constitutes the refereed proceedings of the 5th International Conference on Belief Functions, BELIEF 2018, held in Compiègne, France, in September 2018.The 33 revised regular papers presente

This book covers block pulse and related functions for the analysis and identification of continuous and discrete-time systems. It covers ‘functions related to block pulse functions’ and pulse-width m

"This comprehensive title examines the structures and functions of the brain. Accessible text and supportive design elements introduce different parts of the brain and explain their key functions. Rea

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 Chin

Simple text describes concrete mixers and their functions.

The book explains the classification of a set of Walsh functions into distinct self-similar groups and subgroups, where the members of each subgroup possess distinct self-similar structures. The obser

Master functions and discover how to write functional programs in R. In this concise book, you'll make your functions pure by avoiding side-effects; you’ll write functions that manipulate other functi

This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth centuries. It features beautiful formulas and derives them using skillful and ingenious manipulations, especially classical methods often overlooked today. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular functions independent of elliptic functions. The latter part of the book explains how Hurwitz completed this task and includes one of Hurwitz's landmark papers, translated by the author, and delves into the work of Ramanujan, Mordell, and Hecke. For graduate students and experts in modular forms, this book demonstrates the relevance of these original sources and thereby provides the reader with new insights into contemporary work in this area.

Direct Speech in Nonnus’ Dionysiaca is the first extensive study of speech in Nonnus’ Dionysiaca (5th century AD). It presents an in-depth analysis of the narrative functions of direct speech and thei

Prebiotics and Probiotics in Human Milk: Origins and Functions of Milk-Borne Oligosaccharides and Bacteria provides a comprehensive, yet approachable, treatise on what is currently known about the ori

This book provides detailed calculated values for the thermal radiative and thermodynamic functions of black-body radiation in finite spectral ranges. The results are presented in tabular form. The ar

This fascinating book offers a comprehensive exploration of Russian English as a World English variety. The authors introduce readers to the history of language contact between Russian and English, which has resulted in the Russianization of English and Englishization of Russian. They also discuss the functions of English as a lingua franca in the domains of politics, business and tourism, as a tool in youth subcultures, education and scholarship, and as a creative means in mass media, advertisement, music and literature. The book engages with the major role of English in expressing a speaker's cultural and personal identity within the global community. This accessible and engaging work presents a great number of concepts within the field of Russian linguistics, as well as introducing readers to the outstanding Russian scholars in the field. Essential reading for students and researchers across a wide range of related fields.

This book explains how with careful planning and design, the functions and performance of constructed wetlands can provide a huge range of benefits to humans and the environment. With functions rangin

This book explains how with careful planning and design, the functions and performance of constructed wetlands can provide a huge range of benefits to humans and the environment. With functions rangin

This book presents mathematical methods and tools which are useful for physicists and engineers: response functions, Kramers–Kronig relations, Green's functions, saddle point approximation. The deriva

This book presents mathematical methods and tools which are useful for physicists and engineers: response functions, Kramers–Kronig relations, Green's functions, saddle point approximation. The deriva

This is an exercises book at the beginning graduate level, whose aim is to illustrate some of the connections between functional analysis and the theory of functions of one variable. A key role is pla

The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this third edition of Numbers and Functions, Professor Burn invites the student reader to tackle each of the key concepts in turn, progressing from experience through a structured sequence of more than 800 problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, of which most are supplied with brief answers, draws students into constructing definitions and theorems for themselves. This natural development is informed and complemented by historical insight. Carefully corrected and updated throughout, this new edition also includes extra questions on integration and an introduction to convergence. The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties.

This work is unique as it provides a uniform treatment of the Fourier theories of functions (Fourier transforms and series, z-transforms), finite measures (characteristic functions, convergence in dis

This volume tests the hypothesis that elements at the left periphery of discourse units have mainly subjective and discourse-structuring functions, whereas at the right periphery, such elements play a

Text for advanced undergraduate and graduate students examines Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. Appendix covers set and sequence operations and continuous functions. 1962 edition.

This book constitutes the thoroughly refereed proceedings of the Third International Conference on Belief Functions, BELIEF 2014, held in Oxford, UK, in September 2014. The 47 revised full papers pres

Chow introduces partial differential equations of evolutional type with coefficients that are random functions of space and time. Such random functions or random fields may be generalized random field

Metal ions in metalloproteins are critical to the protein’s function, structure, and stability. Because numerous essential biological functions require metal ions and most of these functions involve m

In the long period of adapting to social development, museums have become cultural complexes with multiple functions. With the development of society, the functions of museums are also changing with n