To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked. The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.
Volume Four of the distinguished American Theatre: A Chronicle of Comedy and Drama series offers a thorough, candid, and fascinating look at the theater in New York during the last decades of the twentieth century.
In today's insurance coverage litigation environment, the practitioner who needs to determine what is--and is not--covered under various policy provisions is up against some formidable challenges. Literally thousands of cases on insurance issues find their way into courtrooms every year, and the decisions can be as difficult to decipher as they are to track. Find the authoritative guidance you need with Ostrager and Newman's Handbook on Insurance Coverage Disputes. This three-volume resource helps you quickly and easily pinpoint detailed analysis of lead cases in key jurisdictions, provides excerpts from standard insurance policies, including critical commentary on key provisions, and offers insights into planning and implementation of successful litigation strategies. Ostrager and Newman's Handbook on Insurance Coverage Disputes, Sixteenth Edition addresses today's critical coverage issues, such as: The Insurer's Duty to Defend Trigger and Scope of Occurrence-Based Coverage Bad Faith and Wrongful Refusal to Settle Property Insurance Rights and Obligations of Co-Insurers Insurability of Punitive Damages Excess Insurance and Analysis of Pollution Exclusions Directors and Officers Coverage Employee Discrimination and Sexual Harassment Claims Make the Handbook on Insurance Coverage Disputes your one-stop source for the current state of the law on: The effect of a reservation of rights letter...disclaimer and denials of coverage The rules governing all aspects of giving notice of a claim including mechanics of language and timelines Effect of misrepresentations and omissions in insurance applications Reverse bad faith and contributory bad faith Reinsurance The legal issues presented in litigation involving hazardous waste and environmental cleanup Coverage provided by general liability insurance, including personal injury and advertising injury coverage Rules for apportioning the cost of defense among insurers
This text covers topics from MIDI and electronic keyboards to the Internet and the copyright law to most recent developments in hardware, software, and pedagogy. The accompanying CD-ROM provides end-of-chapter questions, activities and projects, lesson plans, web activities, demo programs and much more.
In this study Thomas Peattie offers a new account of Mahler's symphonies by considering the composer's reinvention of the genre in light of his career as a conductor and more broadly in terms of his sustained engagement with the musical, theatrical, and aesthetic traditions of the Austrian fin de siècle. Drawing on the ideas of landscape, mobility, and theatricality, Peattie creates a richly interdisciplinary framework that reveals the uniqueness of Mahler's symphonic idiom and its radical attitude toward the presentation and ordering of musical events. The book goes on to identify a fundamental tension between the music's episodic nature and its often-noted narrative impulse and suggests that Mahler's symphonic dramaturgy can be understood as a form of abstract theatre.
Aims to show how you can live without catching a cold, getting the flu, or having to experience cold and flu symptoms like sore throats, nasal congestion, fever and laryngitis. This book shows how to get your metabolism to a state where you can't become infected, and also contains diet and exercise programmes useful to maximise body potential.
Translated literally as "War Speak," Kriegsprache is a glossary of WWII German military and period specific words, phrases, abbreviations, and Landser slang. Over 7,000 abbreviations and more than 17,500 words and phrases have been collected to aid the student, historian, and researcher in translating and understanding German documents, letters, and reports from WWII.
The great Norwegian mathematician Sophus Lie developed the general theory of transformations in the 1870s, and the first part of the book properly focuses on his work. In the second part the central figure is Wilhelm Killing, who developed structure and classification of semisimple Lie algebras. The third part focuses on the developments of the representation of Lie algebras, in particular the work of Elie Cartan. The book concludes with the work of Hermann Weyl and his contemporaries on the structure and representation of Lie groups which serves to bring together much of the earlier work into a coherent theory while at the same time opening up significant avenues for further work.
This landmark monograph in ethnoecology is now available in print format for the first time. Based on long-term fieldwork in Guyana during 1998, 1999 and 2000, it examines relationships between the ecological knowledge of Wapishana hunters and equivalent areas of ecological science. It places this in the ethnographic context of Wapishana settlement, subsistence and symbolism, and the wider context of the political ecology of Guyanas economic liberalisation and the consequent exposure of the indigenous peoples of Guyanas Rupununi region to extractive industries and international conservation interests for the first time. The result is a robust argument, grounded in extensive data and analysis, for alternative trajectories in conservation and international development rooted in the skills, knowledge and interests of indigenous users and custodians of biodiversity.
This study provides a critical analysis of the narrative works of Günter Grass, under which Die Blechtrommel, Katz und Mann, Hundejahre und Der Butt. It is of interest to everyone who wants to get a better understanding of the novels of this famous German writer.
With the failure of economics to predict the recent economic crisis, the image of economics as a rigorous mathematical science has been subjected to increasing interrogation. One explanation for this failure is that the subject took a wrong turn in its historical trajectory, becoming too mathematical. Using the philosophy of mathematics, this unique book re-examines this trajectory. Philosophy of Mathematics and Economics re-analyses the divergent rationales for mathematical economics by some of its principal architects. Yet, it is not limited to simply enhancing our understanding of how economics became an applied mathematical science. The authors also critically evaluate developments in the philosophy of mathematics to expose the inadequacy of aspects of mainstream mathematical economics, as well as exploiting the same philosophy to suggest alternative ways of rigorously formulating economic theory for our digital age. This book represents an innovative attempt to more fully understand the complexity of the interaction between developments in the philosophy of mathematics and the process of formalisation in economics. Assuming no expert knowledge in the philosophy of mathematics, this work is relevant to historians of economic thought and professional philosophers of economics. In addition, it will be of great interest to those who wish to deepen their appreciation of the economic contours of contemporary society. It is also hoped that mathematical economists will find this work informative and engaging.
From 1900 to 1924 Spain experienced a stage of vigorous academic freedom and unfettered scientific inquiry that strikingly contrasted with the repressive atmosphere of the periods before and after. Thomas Glick explores this "recovery of science" by focusing on the national discussion provoked by Einstein's trip to Spain in 1923. His visit stimulated a debate on the nature and social value of science that was remarkable in a society so recently awakened to the scientific role in the process of modernization. Einstein's universal appeal created the unlikely occasion for a fascination with science that cut across social classes and previously established domains of discourse. The political Right, which in other countries opposed relativity in the name of "traditional" Newtonian science, backed the new theories with surprising enthusiasm. Engineers, a politically conservative group, contributed much of the rank-and-file support for Einstein; physicians, who tended to the Left, also eagerly embraced his ideas, as did a host of mutually antagonistic political groups, including anarcho-syndicalists and bourgeois Catalan nationalists. Professor Glick's analysis of this multidimensional scientific forum provides an unusual amount of information on science in Spain and an opportunity to contrast the Spaniards' reception of Einstein's work and that of other nations during this historical period. Originally published in 1988. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
In December 1945 Thomas Mann wrote a famous letter to Adorno in which he formulated the principle of montage adopted in his novel Doctor Faustus. The writer expressly invited the philosopher to consider, with me, how such a work and I mean Leverkhns work could more or less be practically realized. Their close collaboration on questions concerning the character of the fictional composers putatively late works (Adorno produced specific sketches which are included as an appendix to the present volume) effectively laid the basis for a further exchange of letters. The ensuing correspondence between the two men documents a rare encounter of creative tension between literary tradition and aesthetic modernism which would be sustained right up until the novelists death in 1955. In the letters, Thomas Mann openly acknowledged his fascinated reading of Adornos Minima Moralia and commented in detail on the Essay on Wagner, which he was as eager to read as the one in the Book of Revelation consumes a book which tastes as sweet as honey. Adorno in turn offered detailed observations upon and frequently enthusiastic commendations of Manns later writings, such as The Holy Sinner, The Betrayed One and The Confessions of Felix Krull. Their correspondence also touches upon issues of great personal significance, notably the sensitive discussion of the problems of returning from exile to postwar Germany. The letters are extensively annotated and offer the reader detailed notes concerning the writings, events and personalities referred or alluded to in the correspondence.
Current knowledge concerning both morphological and functional cryptorchid-related alterations in the various testicular compartments is summarized in this valuable new publication. Damage to the germinal epithelium and resulting infertility in both humans and experimental animals as well as the degree of damage to the different stages of germ cell development is discussed. In addition, information concerning hormonal therapy and orchidopexy to reverse cryptorchid-related damage is provided. Morphological alterations in Sertoli and Leydig cells is discussed in terms of cellular hypertrophy and hyperplasia, alterations in organelle number and characteristics as well as changes in cell-cell junctional complexes. Changes in Sertoli cell and Leydig cell function, including gonadotropin binding, steroidogenesis and other metabolic alterations is also outlined,as well as the influence of altered testicular function on subsequent hypothalamic-pituitary changes. Vascular disruption, the potential role of paracrine substances and direct thermal damage, all of which may be responsible for the resulting detrimental changes in one or more testicular compartments, are considered.
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