This exciting collection of papers is an international, ecumenical, and interdisciplinary study of Jesus' resurrection that emerged from the "Resurrection Summit" meeting held in New York at Easter of 1996. The contributions represent mainstream scholarship on biblical studies, fundamental theology, systematic theology, philosophy, moral theology, and homiletics. Contributors represent a wide range of viewpoints and denominations and include Richard Swinburne, Janet Martin Soskice, Peter F. Carnley, Sarah Coakley, Willian Lane Craig, William P. Alston, M. Shawn Copeland, Paul Rhodes Eddy, Francis Schussler Fiorenza, Brian V. Johnstone, Carey C. Newman, Alan G. Padgett, Pheme Perkins, Alan F. Segal, Marguerite Shuster, and John Wilkins. Combined, they offer a timely, wide ranging, and well balanced work on the central truth of Christianity."

THE THEORY OF LINEAR OPERATORS FROM THE STANDPOINT OF DIFFEREN TIAL EQUATIONS OF INFINITE ORDER By HAROLD T. DAVIS INDIANA UNIVERSITY AND THE COWLES COMMISSION FOR RESEARCH IN ECONOMICS THE PRINCIPIA PRESS Bloommgton, Indiana 1936 MONOGRAPH OF THE WATERMAN INSTITUTE OF INDIANA UNIVERSITY CONTRIBUTION NO. 72 THE THEORY OF LINEAR OPERATORS To Agnes, who endured so patiently the writing of it, this boo is affectionately dedicated. TABLE OF CONTENTS CHAPTER I LINEAR OPERATORS 1. The Nature of Operators ------------1 2. Definition of an Operator -----.--3 3. A Classification of Operational Methods --------7 4. The Formal Theory of Operators ----------g 5. Generalized Integration and Differentiation - - 16 6. Differential and Integral Equations of Infinite Order -----23 7. The Generatrix Calculus - - 28 8. The Heaviside Operational Calculus ---------34 9. The Theory of Functionals ------------33 10. The Calculus of Forms in Infinitely Many Variables -----4 CHAPTER II PARTICULAR OPERATORS 1. Introduction ----------------51 2. Polynomial Operators --------53 3. The Fourier Definition of an Operator ---------53 4. The Operational Symbol of von Neumann and Stone -----57 5. The Operator as a Laplace Transform ---------59 6. Polar Operators ...-60 7. Branch Point Operators ------------64 8. Note on the Complementary Function ---------70 9. Riemanns Theory - .--.--72 10. Functions Permutable with Unity ----------76 11. Logarithmic Operators ------------78 12. Special Operators --------------85 13. The General Analytic Operator ----------99 14. The Differential Operator of Infinite Order -------100 15. Differential Operators as a Cauchy Integral -------103 16. The Generatrix of Differential Operators--------104 17. Five Operators of Analysis ------------105 CHAPTER III THE THEORY OF LINEAR SYSTEMS OF EQUATIONS 1. Preliminary Remarks -------------108 2. Types of Matrices --------------109 3. The Convergence of an Infinite Determinant -------114 4. The Upper Bound of a Determinant. Hadamards Theorem - - 116 5. Determinants which do not Vanish - - - - - - - - - 123 6. The Method of the Liouville-Neumann Series -------126 7. The Method of Segments ------------130 8. Applications of the Method of Segments. --------132 9. The Hilbert Theory of Linear Equations in an Infinite Number of Variables - - - - 137 10. Extension of the Foregoing Theory to Holder Space 149 vii Vlll THE THEORY OF LINEAR OPERATORS CHAPTER IV OPERATIONAL MULTIPLICATION AND INVERSION 1. Algebra and Operators -------.. --153 2. The Generalized Formula of Leibnitz ---------154 3. Bourlets Operational Product --. 155 4. The Algebra of Functions of Composition --------159 5. Selected Problems in the Algebra of Permutable Functions - - - - 164 G. The Calculation of a Function Permutable with a Given Function - 166 7. The Transformation of Peres -----------171 8. The Permutability of Functions Permutable with a Given Function - 173 9. Permutable Functions of Second Kind - --176 10. The Inversion of Operators Bourlets Theory ------177 It. The Method of Successive Substitutions --------181 12. Some Further Properties of the Resolvent Generatrix - 185 13. The Inversion of Operators by Infinite Differentiation - 188 14. The Permutability of Linear PilYeiential Operators -----190 15. A Class of Non-permutable Operators ---------194 16. Special Examples Illustrating the Application of Operational Processes 200 CHAPTER V GRADESDEFINED BY SPECIAL OPERATORS 1. Definition ----------------211 2. The Grade of an Unlimitedly Differentiable Function - 212 3. Functions of Finite Grade ------------215 4. Asymptotic Expansions --- 222 5. The Summability of Differential Operators with Constant Coefficients 230 6. The Summability of Operators of Laplace Type ------235 CHAPTER VI DIFFERENTIAL EQUATIONS OF INFINITE ORDER WITH CONSTANT COEFFICIENTS 1. Introduction ---------------238 2. Expansion of the Resolvent Generatrix --------239 3. The Method of Cauchy-Bromwich ----------250 4...

In "Postmodern Humanism in Contemporary Literature and Culture," Todd F. Davis and Kenneth Womack investigate the emerging gaps between literary scholarship and the reading experience itself. For Davis and Womack, the idea of reconciling the void - the locus of our sociocultural disillusionment and despair in an increasingly uncertain world - concerns explicit artistic attempts to represent the ways in which human beings seek out meaning, hope and community in spite of the void's immutable shadow.

The protection which is installed on an industrial power system is likely to be subjected to more difficult conditions than the protection on any other kind of power system. Starting with the many simple devices which are employed and covering the whole area of industrial power system protection, this book aims to help achieve a thorough understanding of the protection necessary.

Vital aspects such as the modern cartridge fuse, types of relays, and the role of the current transformer are covered and the widely used inverse definite-minimum time overcurrent relay, the theory of the Merz-Price protection system and the development of the high-impedance relay system are critically examined. This new edition has come about in response to the dramatic change from the use of electro-magnetic relays to electronic and micro-processor relays which figure in practically all new installations. Therefore, although the theory and usage are the same, the application can be much improved owing to the increased range and accuracy and the added facilities provided with the modern relays. This book reflects the change and explains the technical advantages.

As a former athlete unable to express himself the way he wanted to, Adriel found comfort in expressing his love, his pain and the passion he has for basketball and for life through his poetry. "Pen to Paper: A Transfer of Emotions" is the manifestation of Adriel's passion for life, love and basketball. In college and throughout his life, he was a shoulder to many of his family and friends' deepest and darkest secrets. Unable to tell others of the problems he faced and the struggles of people who had confided in him, he learned to put his pen to paper and a book was born. A deep look into a man's soul who so desperately wanted to heal himself and those who would seek his advice, Adriel began to search deep into his heart and soul to express those feelings for others. Pen to Paper is a book that will show you tears of joy, laughter and pain until the game is over.

In an innovative and wide-ranging collection of essays, The Performing Century looks at modes of performance and forms of theatre in Nineteenth-century Britain and Ireland. From the vogue for fairy plays to the acting styles of melodrama, from the work of a single impresario to the nature of a genre, from ship-launches in Belfast to royal weddings in England, from the representation of economics to the work of a parliamentary committee in regulating theatres, the authors bring new perspectives on familiar material and radically redefine what theatre and performance in the Nineteenth century might be.

The book '... should be assured of the attention of the many on both sides of the Atlantic who are fascinated by this subject.' John Hick

This interdisciplinary study follows an international and ecumenical meeting of twenty-one scholars held in New York at Easter 2003: the Redemption Summit. After an opening chapter, which explores seven central questions for writers on redemption, five chapters are dedicated to the scriptural roots of the doctrine. A section on the patristic and medieval periods then examines the interpretation of redemption through the centuries. The volume moves on to foundational and systematic issues: the problem of horrendous evil, karma and grace, and differing views on justification. Studies on the redemption in literature, art, music, and preaching form the final part. There is a fruitful dialogue between experts in a wide range of areas and the international reputation of the participants reflects and guarantees the high quality of this joint work. The result is a well researched, skilfully argued, and, at times, provocative volume on the central Christian belief: the redemption of human beings through Jesus Christ.

This book represents conversations between philosophers and theologians on several issues of current theological interest. God, the church, theological authority, atonement, the Holy Spirit, religious ethics, the problem of evil, and other topics are debated by top-notch theologians and philosophers of various theological and philosophical persuasions. Since contemporary philosophers and theologians seldom communicate professionally, this book represents a fascinating and highly unusual cross-disciplinary conversation.

Crowd Actions in Britain and France from the Middle Ages to the Modern World explores the lively and often violent world of the crowd, examining some of the key flashpoints in the history of popular action. From the Peasants' Revolt of 1381 to the Paris riots in 2005 and 2006, this volume reveals what happens when people gather together in protest.

All four of the Doctor Who specials from 2009 plus the Christmas/New Year specials from the 2009/10 winter holiday period. Episodes are: 'The Next Doctor', 'Planet of the Dead', 'Waters of Mars' and 'The End of Time (Parts 1 and 2)', which marks the end of David Tennant's stint in the role of the Doctor.

This collection provides new insights into the 'Age of Revolutions', focussing on state trials for treason and sedition, and expands the sophisticated discussion that has marked the historiography of that period by examining political trials in Britain and the north Atlantic world from the 1790s and into the nineteenth century. In the current turbulent period, when Western governments are once again grappling with how to balance security and civil liberty against the threat of inflammatory ideas and actions during a period of international political and religious tension, it is timely to re-examine the motives, dilemmas, thinking and actions of governments facing similar problems during the 'Age of Revolutions'. The volume begins with a number of essays exploring the cases tried in England and Scotland in 1793-94 and examining those political trials from fresh angles (including their implications for legal developments, their representation in the press, and the emotion and the performances they generated in court). Subsequent sections widen the scope of the collection both chronologically (through the period up to the Reform Act of 1832 and extending as far as the end of the nineteenth century) and geographically (to Revolutionary France, republican Ireland, the United States and Canada). These comparative and longue duree approaches will stimulate new debate on the political trials of Georgian Britain and of the north Atlantic world more generally as well as a reassessment of their significance. This book deliberately incorporates essays by scholars working within and across a number of different disciplines including Law, Literary Studies and Political Science.

All 14 episodes from the fourth series of the relaunched BBC television sci-fi classic, starring David Tennant as the latest incarnation of the legendary Time Lord. Guest appearances in this series include: Kylie Minogue, Billie Piper, and Felicity Kendal. Episodes comprise: 'Voyage of the Damned', 'Partners in Crime', 'The Fires of Pompeii', 'Planet of the Ood', 'The Sontaran Stratagem', 'The Poison Sky', 'The Doctor's Daughter', 'The Unicorn and the Wasp', 'Silence in the Library', 'Forest of the Dead', 'Midnight', 'Turn Left', 'The Stolen Earth' and 'Journey's End'.

Going beyond the usual how-to guide, Lean Six Sigma Secrets for the CIO supplies proven tips and valuable case studies that illustrate how to combine Six Sigma's rigorous quality principles with Lean methods for uncovering and eliminating waste in IT processes. Using these methods, the text explains how to take an approach that is all about improving IT performance, productivity, and security-as much as it is about cutting costs. Savvy IT veterans describe how to use Lean Six Sigma with IT governance frameworks such as COBIT and ITIL and warn why these frameworks should be considered starting points rather than destinations. This complete resource for CIOs and IT managers provides effective strategies to address the human element that is so fundamental to success and explains how to maximize the voice of your customers while keeping in touch with the needs of your staff. And perhaps most importantly-it provides the evidence needed to build your case to upper management. Supplying you with the tools to create methods that will bring out the best in your employees; Lean Six Sigma Secrets for the CIO provides the understanding required to manage your IT operations with unique effectiveness and efficiency in service of the bottom line.

Learn how to perform project management according to international standards of compliance using capability assessment processes. This book compares and contrasts the approach to project management using ISO 21500 against the more direct ISO 33000 Capability Assessment. It shows how to assess projects adequately for process improvement or how well an organization performs against a standard, measurable framework. Using ISO 21500 as the project management reference point and ISO 15504/33000 as the capability assessment reference, the book shows you how to assess whether your projects are being run according to a specific capability level or support them to reach higher levels of capability.

This interdisciplinary study is the result of an international and ecumenical meeting of nineteen scholars held in New York at Easter 1998: the Trinity Summit. Biblical experts examine the scriptural roots of trinitarian doctrine, patristic scholars correct those who continue to misinterpret the trinitarian teaching of the Cappadocians and Augustine, and five scholars examine systematic and foundational issues like the viability of social models for the Trinity. The volume ends with a study of the Trinity in art and the challenge of preaching the Trinity today. Each of the papers presented here have been circulated to all of the contributors not only improving the chapters, but also establishing firmer links between the four sections of the book. The international reputation of the participants reflects and guarantees the high quality of this joint work.

Securing and Controlling Cisco Routers demonstrates proven techniques for strengthening network security. The book begins with an introduction to Cisco technology and the TCP/IP protocol suite. Subsequent chapters cover subjects such as routing, routing protocols, IP addressing, and Cisco Authentication, Authorization, and Accounting services (AAA). The text then addresses standard, extended, time-based, dynamic, and reflexive access lists, as well as context-based control and Cisco Encryption Technology. At the end of most chapters, readers will find the unique opportunity to practice what they have learned. Readers will be able to log on to a real router, practice commands, and gather information as shown in the chapter. To further round out this understanding of routers, Securing and Controlling Cisco Routers reviews Trojan Ports and Services and provides additional resources such as Web sites, mailing lists, bibliographies, glossaries, acronyms, and abbreviations.