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Valuable as both a text and a reference, this concise monograph starts with a consideration of the calculus of finite differences and advances to discussions of the gamma and psi functions and other methods of summation. Subsequent chapters offer a summation of tables and an examination of infinite sums. The treatment concludes with a table of finite sums and helpful indexes.This volume was written by a prominent mathematician and educator whose interests encompassed the history of mathematics, statistics, modeling in economics, mathematical physics, and other disciplines. The book is suitable for students, researchers, and applied mathematicians in many areas of mathematics, computer science, and engineering.

The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical evaluation, a formula in terms of convergent series is provided by the use of Newton interpolation. The relation with other summation processes such as those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.

The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical evaluation, a formula in terms of convergent series is provided by the use of Newton interpolation. The relation with other summation processes such as those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.

CT Summation iBlaze gives the user complete control over litigation evidence by bringing all you need―transcripts, documents, issues, and events, to your fingertips in one easy-to-use software program. Working in close collaboration with CT Summation, Tom O'Connor has developed this easy-to-understand guide designed to quickly get you up and running on CT Summation software. Covering the latest version of iBlaze, the book features step-by-step instructions on the functions of iBlaze and how to get the most from this powerful program.

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A priceless powerhouse of prosecutorial guidance! Learn to solidfy cases every step of the way, from the first swing of the judge's gavel to the last. Perfect for practicing prosecutors, law enforcement pros who provide the elements that help win cases and everyone in between...including law students! You'll get analyses of 5 top attributes of successful prosecutors -instruction for crafting compelling opening statements & jury-swaying summations -insider tips for selecting the right jury -advice for using questions with surgical precision to dissect testimony and reveal truth -plus case-winning witness prep instructions!

A priceless powerhouse of prosecutorial guidance! Learn to solidfy cases every step of the way, from the first swing of the judge's gavel to the last. Perfect for practicing prosecutors, law enforcement pros who provide the elements that help win cases and everyone in between...including law students! You'll get analyses of 5 top attributes of successful prosecutors -instruction for crafting compelling opening statements & jury-swaying summations -insider tips for selecting the right jury -advice for using questions with surgical precision to dissect testimony and reveal truth -plus case-winning witness prep instructions!

Crafted from the finest quality mouth-blown borosilicate glass, the Moderna double-wall whiskey glass is the summation of the Ozeri Artisan Series of award-winning handcrafted drinkware. Both heat and condensation-resistant, the Ozeri whiskey glasses feature double-wall insulation that preserves a spirit's ideal temperature, structure, and notes within the sanctuary of a suspended inner chamber. Shaped with a modern, twisted flair, the Ozeri whiskey glasses are crafted from durable, stain-resistant borosilicate glass. The double-wall construction prevents exterior heat from reaching the inner walls, and condensation from forming on the outer walls. In addition to fine whiskeys, the Ozeri glasses serve as an excellent vessel for Tequila, Vodka, Rum, Cognac, Soju, hot or chilled Sake, and more. Ships in an elegant and carefully packed color-printed gift box and backed by Ozeri's No-Hassle warranty. Each glass measures 3.6 in. x 3.6 in. x 4.3 in. and holds up to 10 oz. (300 ml). Color: Clear.

Summation 16 channel Summing Amp with automation via USB.Sounds great, and is working perfectly. The software doesn't seem to be available anymore...

Limited 180 gram heavyweight vinyl LP pressing. The Best of The B-52's: Dance This Mess Around is an excellent summation of the group's late-1970s/early 1980s heyday, featuring such staples as 'Wig', 'Give Me Back My Man', 'Song For A Future Generation', '52 Girls', 'Private Idaho', 'Strobe Light', 'Devil in My Car', 'Planet Claire' and 'Rock Lobster'. It is arguably the best compilation of the group's work. Dance This Mess Around is a first-rate survey of the band's best (and most groundbreakin

Apollonian appreciation of beauty leads to a sensuous response and to the Dionysiac abyss in Britten's last opera, the summation of his work. "Aschenbah is destroyed physically by the plague, spiritually by an infatuation for the boy Tadzio that is ultimately a betrayal of his lifelong devotion to an ordered beauty, free from the excesses of unbridled passion" (Peter Evans).

In Systematic Theology Paul Tillich restates the Christian faith for the twentieth century. Here complete between two covers are the three volumes of this monumental work - the summation of Tillich's thought - which appeared in 1951, 1957, and 1963: I: Reason and Revelation; Being and God. II. Existence and The Christ. III. Life and the Spirit; History and Kingdom of God.

Beautifully reprinted in a facsimile edition, and compiled and edited by Schinkel himself, this book is a summation of his life-long search for the timeless values of utility and beauty in architecture.Princeton Architectural Press's Reprint Series was established in 1981 to make rare volumes on architecture available to a wider audience. The books' beautiful reproductions and finest quality printing and binding match those of the originals, while their 9-by-12-inch format makes them accessible and affordable. New introductions bring a modern voice to these classic texts, updating them to become invaluable contemporary resources. These critically acclaimed books are an essential addition to any library.

This book is a comprehensive state-of-the-knowledge summation of shock wave reflection phenomena from a phenomenological point of view. It includes a thorough introduction to oblique shock wave reflections, dealing with both regular and Mach types. It also covers in detail the corresponding two- and three-shock theories. The book moves on to describe reflection phenomena in a variety of flow types, as well as providing the resolution of the Neumann paradox.

"A lucid, intelligent, and lively summation ... an appetizing and stimulating introduction to the study of man's early civilizations." — ScienceThis fascinating, lively study — praised by the American Historical Review as "a valuable introduction, perhaps the best available in English, to the ancient Near Eastern civilizations" — is essential reading for history students and for anyone interested in the development of Western civilization. The author, who was director of the Center of Semitic Studies at the University of Rome, undertook the study in order to make sense of several enormously important discoveries from the mid-twentieth century — including the discovery of Ugarit, a Syrian city that flourished for 4,000 years; the unearthing of Mari, an equally important city of ancient Mesopotamia; and the discovery of the Dead Sea Scrolls.Professor Moscati begins with a chapter on the "Oriental Renaissance" and goes on to examine the Sumerians, Babylonians, Assyrians, Egyptians, Hittites, Hurrians, Canaanites, Aramaeans, Israelites, and Persians, before offering, in the final chapter, a synthesis of Near Eastern accomplishments in politics, society, literature, and the arts. His conclusion is that "the civilizations of the ancient Orient [were] a tremendous human experience ... without which another, subsequent civilization would not be conceivable." One of the great pleasures of this intriguing book is its delightful sampling of illustrative quotations from primary sources — some from the Bible and many others (often with strikingly biblical intonations) from the little-known writings of Sumer, Egypt, Hurria, and the other great civilizations that prefigured Greece and Rome.

Morality's Progress is the summation of nearly three decades of work by a leading figure in environmental ethics and bioethics. The twenty-two papers here are invigoratingly diverse, but together tell a unified story about various aspects of the morality of our relationships to animals and to nature. Jamieson's direct and accessible essays will convince sceptics that thinking about these relations offers great intellectual reward, and his work here sets a challenging, controversial agenda for the future.

Charles Baker traveled the world in search of exotic food and drink in addition to interesting people with whom he could share them. Both drink travelogue and cookbook, The Gentleman's Companion is the summation of Baker's culinary and drinking experiences abroad. Baker accents his tales of high adventure with recipes for foods and cocktails that were considered unusual specimens in the 1920s and 30s. Baker, a captivating storyteller, wrote about food and drink for a number of well-known magazines. In this travelogue he relates how notorious figures, including Hemmingway and Faulkner, numbered among his drinking companions. At once a culinary guidebook and haughty memoir, The Gentleman's Companion, initially published in 1939, provides a one-of-a-kind glimpse into the bombastic and glamorous world of travel in the mid-twentieth century. This edition combines both volumes of the original work: The Exotic Cookery Book and The Exotic Drinking Book.

For more than sixty years Alfred Kazin has been one of the most eloquent witnesses to the literary life of the mind in America. Writing Was Everything is a summation of that life, a story of coming of age as a writer and critic that is also a vibrant cultural drama teeming with such characters as Hart Crane and Allen Ginsberg, Simone Weil and Flannery O'Connor, Hannah Arendt and Robert Lowell, Edmund Wilson and George Orwell.A deft blend of autobiography, history, and criticism that moves from New York in the 1930s to wartime England to the postwar South, Writing Was Everything emerges as a reaffirmation of literature in an age of deconstruction and critical dogma. In his encounters with books, Kazin shows us how great writing matters and how it involves us morally, socially, and personally on the deepest level. Whether reflecting on modernism, southern fiction, or black, Jewish, and New Yorker writing or reliving the work of Richard Wright, Saul Bellow, and John Cheever, he gives a penetrating, moving account of literature observed and lived. In his life as a critic, Kazin personifies the lesson that living and writing are necessarily intimate.Writing Was Everything encapsulates the lively wit and authority of this timeless critic's unmistakable voice. It stands as clear testimony to Kazin's belief that "literature is not theory but, at best, the value we can give to our experience, which in our century has been and remains beyond the imagination of mankind."

Available in paperback under the title Good City Form With the publication of The Image of the City, Kevin Lynch embarked on the process of exploration of city form. A Theory of Good City Form, his most important book, is both a summation and an extension of his vision, a high point from which he views cities past and possible. The central section of the book develops a new normative theory of city form—an identification of the characteristics that good human settlements should possess. This follows an examination of three existing normative theories—those which see the city as a model of the cosmos, as a machine, and as a living organism—which are shown to be finally inadequate and unable to hold up under sustained analysis. In addition, an appendix demonstrates the inadequacies of a number of functional theories—those whose aim is simply to describe how settlements work rather than to evaluate how they ought to work. Among these theories are models of cities as ecological systems, as fields of force, as systems of linked decisions, or as areas of class conflict. Lynch puts forth his own theory by searching out the qualities that produce good settlements, qualities that allow "development, within continuity, via openness and connection." He identifies five interrelated dimensions of performance—vitality, sense, fit, access, and control—and two "meta-criteria," efficiency and justice. As in all of Lynch's writing, the theory flows from and leads back to specific examples and everyday realities. The final section of the book is concerned with applications of the theory.

The Science of Being and Art of Living is the summation of both the practical wisdom of integrated life advanced by the Vedic Rishis of ancient India and the growth of scientific thinking in the present-day western world.It presents a philosophy of life in fulfillment and brings forth a practice suitable for all men everywhere in the world to glorify all aspects of their day-to-day life. It deals with the fundamentals of all problems of life and suggests one sure cure to eradicate all sufferings.This book presents a practical thesis to satisfy man's search for truth through science, religion and metaphysical thought. It offers the principle of a practical technique to enable all men to harmonise their inner spiritual content with the glories of the outer material life and to find their God within themselves.Science explores the actuality of forms and phenomena. All the branches of science are the various ways to realise the truth of existence. Each of them starts from the obvious known and aims at investigating the hidden unknown. The ultimate truth of life is being approached from all directions. All the sciences are exploring the various strata of creation. from the gross to the subtle fields of existence.The science of being, like every other science, starts its investigation into the truth of existence from the gross, obvious level of life and enters into the subtle regions of experience. The science of being, however, eventually transcends these subtle regions and arrives at the direct experience of the transcendental field of eternal Being.