Uniqueness Theory of Meromorphic Functions

Uniqueness Theory of Meromorphic Functions

Author: Chung-Chun Yang

Publisher: Springer Science & Business Media

ISBN: 1402014481

Category: Mathematics

Page: 590

View: 616

This book is the first monograph in the field of uniqueness theory of meromorphic functions dealing with conditions under which there is the unique function satisfying given hypotheses. Developed by R. Nevanlinna, a Finnish mathematician, early in the 1920's, research in the field has developed rapidly over the past three decades with a great deal of fruitful results. This book systematically summarizes the most important results in the field, including many of the authors' own previously unpublished results. In addition, useful skills and simple proofs are introduced. This book is suitable for higher level and graduate students who have a basic grounding in complex analysis, but will also appeal to researchers in mathematics.

Behavior and the Natural Environment

Behavior and the Natural Environment

Author: Irwin Altman

Publisher: Springer Science & Business Media

ISBN: 9781461335399

Category: Psychology

Page: 346

View: 642

The theme of the present volume concerns people' s response to the natural environment, considered at scales varying from that of a house hold plant to that of vast wilderness areas. Our decision to focus on this particular segment of the physical environment was prompted in part by the intrinsic interest in this subject on the part of a diverse group of sodal scientists and professionals-and of laypersons, for that matter and in part by the relative neglect of this topic in standard treatments of the environment-behavior field. It also serves to bring out once again the interdisdplinary nature of that field, and we are pleased to have been able to inc1ude representatives from geography, sodology, soda! ecology, and natural recreation among our contributors. We believe that this volume will serve a useful purpose in helping to integrate the find ings and concepts in this presently somewhat fragmented field, scat tered as they are over a very diverse array of publications representing a similarly varied group of spedalties. It is hoped that the result will be to stimulate future development of this area and to add a measure of in creased coherence to it. Volume 7 of our series will be devoted to the theme of elderly people and the environment, with M. Powell Lawton joining us as guest co-editor. The titles of the papers comprising Volume 7 are shown on page v. Irwin Altman J oachim F. Wohlwill ix Contents Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Game Theoretic Analysis

Game Theoretic Analysis

Author: Petrosyan Leon A

Publisher: World Scientific

ISBN: 9789811202025

Category: Mathematics

Page: 620

View: 477

This is a collection of recent novel contributions in game theory from a group of prominent authors in the field. It covers Non-cooperative Games, Equilibrium Analysis, Cooperative Games and Axiomatic Values in static and dynamic contexts.Part 1: Non-cooperative Games and Equilibrium AnalysisIn game theory, a non-cooperative game is a game with competition between individual players and in which only self-enforcing (e.g. through credible threats) alliances (or competition between groups of players, called 'coalitions') are possible due to the absence of external means to enforce cooperative behavior (e.g. contract law), as opposed to cooperative games. In fact, non-cooperative games are the foundation for the development of cooperative games by acting as the status quo. Non-cooperative games are generally analysed through the framework of equilibrium, which tries to predict players' individual strategies and payoffs. Indeed, equilibrium analysis is the centre of non-cooperative games. This volume on non-cooperative games and equilibrium analysis contains a variety of non-cooperative games and non-cooperative game equilibria from prominent authors in the field.Part 2: Cooperative Games and Axiomatic ValuesIt is well known that non-cooperative behaviours, in general, would not lead to a Pareto optimal outcome. Highly undesirable outcomes (like the prisoner's dilemma) and even devastating results (like the tragedy of the commons) could appear when the involved parties only care about their individual interests in a non-cooperative situation. Cooperative games offer the possibility of obtaining socially optimal and group efficient solutions to decision problems involving strategic actions. In addition, axiomatic values serve as guidance for establishing cooperative solutions. This volume on cooperative games and axiomatic values presents a collection of cooperative games and axiomatic values from prominent authors in the field.

Optical Compressive Imaging

Optical Compressive Imaging

Author: Adrian Stern

Publisher: CRC Press

ISBN: 9781315354279

Category: Mathematics

Page: 316

View: 809

This dedicated overview of optical compressive imaging addresses implementation aspects of the revolutionary theory of compressive sensing (CS) in the field of optical imaging and sensing. It overviews the technological opportunities and challenges involved in optical design and implementation, from basic theory to optical architectures and systems for compressive imaging in various spectral regimes, spectral and hyperspectral imaging, polarimetric sensing, three-dimensional imaging, super-resolution imaging, lens-free, on-chip microscopy, and phase sensing and retrieval. The reader will gain a complete introduction to theory, experiment, and practical use for reducing hardware, shortening image scanning time, and improving image resolution as well as other performance parameters. Optics practitioners and optical system designers, electrical and optical engineers, mathematicians, and signal processing professionals will all find the book a unique trove of information and practical guidance. Delivers the first book on compressed sensing dealing with system development for a wide variety of optical imaging and sensing applications. Covers the fundamentals of CS theory, including noise and algorithms, as well as basic design approaches for data acquisition in optics. Addresses the challenges of implementing compressed sensing theory in the context of different optical imaging designs, from 3D imaging to tomography and microscopy. Provides an essential resource for the design of new and improved devices with improved image quality and shorter acquisition times. Adrian Stern, PhD, is associate professor and head of the Electro-Optical Engineering Unit at Ben-Gurion University of the Negev, Israel. He is an elected Fellow of SPIE.

Stochastic Geometry

Stochastic Geometry

Author: David Coupier

Publisher: Springer

ISBN: 9783030135478

Category: Mathematics

Page: 232

View: 665

This volume offers a unique and accessible overview of the most active fields in Stochastic Geometry, up to the frontiers of recent research. Since 2014, the yearly meeting of the French research structure GDR GeoSto has been preceded by two introductory courses. This book contains five of these introductory lectures. The first chapter is a historically motivated introduction to Stochastic Geometry which relates four classical problems (the Buffon needle problem, the Bertrand paradox, the Sylvester four-point problem and the bicycle wheel problem) to current topics. The remaining chapters give an application motivated introduction to contemporary Stochastic Geometry, each one devoted to a particular branch of the subject: understanding spatial point patterns through intensity and conditional intensities; stochastic methods for image analysis; random fields and scale invariance; and the theory of Gibbs point processes. Exposing readers to a rich theory, this book will encourage further exploration of the subject and its wide applications.

Unification Insights Into Marriage and Family: The Writings of Dietrich F. Seidel

Unification Insights Into Marriage and Family: The Writings of Dietrich F. Seidel

Author: Jennifer P. Tanabe

Publisher: Lulu Press, Inc

ISBN: 9781365698392

Category: Religion

Page:

View: 885

A collection of the writings of Dr. Dietrich F. Seidel, compiled and edited by Dr. Jennifer P. Tanabe. Dietrich Seidel was born in Austria during World War II and trained as a scientist in Vienna. Raised Catholic he later converted to Unificationism and never lost his faith in God, a faith which guided his life and illuminates his work. This selection reflects Dr. Seidel’s ability to unify and harmonize even those apparently at odds, such as science and religion and his specialty—married couples in need of counseling. In his writings on marriage and family enrichment readers will find practical advice on improving their relationship with their spouse, child rearing, making God central to their family and finding true love, all presented in an enjoyable and easy to read style. Other articles show a more scholarly form and topic, such as human nature and the love of God. Reflective pieces on his experiences as a Unificationist are also included in this collection.

Reference

Reference

Author: Jeanette K. Gundel

Publisher: Oxford University Press

ISBN: 9780190450250

Category: Language Arts & Disciplines

Page: 288

View: 140

The ability to produce and understand referring expressions is basic to human language use and human cognition. Reference comprises the ability to think of and represent objects (both real and imagined/fictional), to indicate to others which of these objects we are talking about, and to determine what others are talking about when they use a nominal expression. The articles in this volume are concerned with some of the central themes and challenges in research on reference within the cognitive sciences - philosophy (including philosophy of language and mind, logic, and formal semantics), theoretical and computational linguistics, and cognitive psychology. The papers address four basic questions: What is reference? What is the appropriate analysis of different referring forms, such as definite descriptions? How is reference resolved? and How do speaker/writers select appropriate referring forms, such as pronouns vs. full noun phrases, demonstrative vs. personal pronouns, and overt vs. null/zero pronominal forms? Some of the papers assume and build on existing theories, such as Centering Theory and the Givenness Hierarchy framework; others propose their own models of reference understanding or production. The essays examine reference from a number of disciplinary and interdisciplinary perspectives, informed by different research traditions and employing different methodologies. While the contributors to the volume were primarily trained in one of the four represented disciplines-computer science, linguistics, philosophy and psychology, and use methodologies typical of that discipline, each of them bridges more than one discipline in their methodology and/or their approach.

Impulsive Differential Inclusions

Impulsive Differential Inclusions

Author: John R. Graef

Publisher: Walter de Gruyter

ISBN: 9783110295313

Category: Mathematics

Page: 410

View: 522

Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and natural disasters. These phenomena involve short-term perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with the duration of an entire evolution. In models involving such perturbations, it is natural to assume these perturbations act instantaneously or in the form of impulses. As a consequence, impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, and so forth. There are also many different studies in biology and medicine for which impulsive differential equations provide good models. During the last 10 years, the authors have been responsible for extensive contributions to the literature on impulsive differential inclusions via fixed point methods. This book is motivated by that research as the authors endeavor to bring under one cover much of those results along with results by other researchers either affecting or affected by the authors' work. The questions of existence and stability of solutions for different classes of initial value problems for impulsive differential equations and inclusions with fixed and variable moments are considered in detail. Attention is also given to boundary value problems. In addition, since differential equations can be viewed as special cases of differential inclusions, significant attention is also given to relative questions concerning differential equations. This monograph addresses a variety of side issues that arise from its simpler beginnings as well.

Philosophical Letters of David K. Lewis

Philosophical Letters of David K. Lewis

Author: David K. Lewis

Publisher: Oxford University Press

ISBN: 9780192597618

Category: Philosophy

Page: 480

View: 426

David Kellogg Lewis (1941-2001) was one of the most influential philosophers of the twentieth century. He made significant contributions to almost every area of analytic philosophy including metaphysics, philosophy of language, philosophy of mind, and philosophy of science, and set the agenda for various debates in these areas which carry on to this day. In several respects he remains a contemporary figure, yet enough time has now passed for historians of philosophy to begin to study his place in twentieth century thought. His philosophy was constructed and refined not just through his published writing, but also crucially through his life-long correspondence with fellow philosophers, including leading figures such as D.M. Armstrong, Saul Kripke, W.V. Quine, J.J.C. Smart, and Peter van Inwagen. His letters formed the undercurrent of his published work and became the medium through which he proposed many of his well-known theories and discussed a range of philosophical topics in depth. A selection of his vast correspondence over a 40-year period is presented here across two volumes. As metaphysics is arguably where Lewis made his greatest contribution, this forms the focus of Volume 1. Arranged under the broad areas of Causation, Modality, and Ontology, the letters offer an organic story of the origins, development, breadth, and depth of his metaphysics in its historical context, as well as a glimpse into the influence of his many interlocutors. This volume will be an indispensable resource for contemporary metaphysics and for those interested in the Lewisian perspective.

Brownian Motion and Stochastic Calculus

Brownian Motion and Stochastic Calculus

Author: Ioannis Karatzas

Publisher: Springer

ISBN: 9781461209492

Category: Mathematics

Page: 470

View: 767

A graduate-course text, written for readers familiar with measure-theoretic probability and discrete-time processes, wishing to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous paths. In this context, the theory of stochastic integration and stochastic calculus is developed, illustrated by results concerning representations of martingales and change of measure on Wiener space, which in turn permit a presentation of recent advances in financial economics. The book contains a detailed discussion of weak and strong solutions of stochastic differential equations and a study of local time for semimartingales, with special emphasis on the theory of Brownian local time. The whole is backed by a large number of problems and exercises.