Expansions

Author: Gary Campbell
Publisher: Houston Pub
ISBN: 9780634000058
Format: PDF, ePub
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(Jazz Book). The second edition of this bestseller comes highly endorsed from the pros and is published at a new lower price! It continues to be a "must-have" for students of improvisation, demonstrating developing new material for jazz-fusion.

Asian Expansions

Author: Geoff Wade
Publisher: Routledge
ISBN: 1135043523
Format: PDF, Mobi
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Asia as we know it today is the product of a wide range of polity expansions over time. Recognising the territorial expansions of Asian polities large and small through the last several millennia helps rectify the fallacy, long-held and deeply entrenched, that Asian polities have been interested only in the control of populations, not in expanding their command of territory. In countering this misapprehension, this book suggests that Asian polities have indeed been concerned with territorial control and expansion over time, whether for political or strategic advantage, trade purposes, defence needs, agricultural expansion or increased income through taxation. The book explores the historical experiences of a set of polity expansions within Asia, specifically in East and Southeast Asia, and, by examining the motivations, mechanisms, processes, validations and limitations of these Asian territorial expansions, reveals the diverse avenues by which Asian polities have grown. The chapters draw on these historical examples to highlight the connections between Asian polity expansion and centralised political structures, and this aids in a broader and more comprehensive understanding of Asian political practice, both past and present. Through these chapter studies and the integrative introduction, the book interrogates key concepts such as imperialism and colonialism, and the applicability and relevance of such terminology in Asian contexts, both historical and contemporary. Comparisons and contrasts with European historical expansions are also suggested. This book will be welcomed by students and scholars of Asian history, as well as by those with an interest in Asian interactions, international relations, polity expansion, Asia--Europe historical comparisons and globalisation.

Asymptotic Expansions for Ordinary Differential Equations

Author: Wolfgang Wasow
Publisher: Courier Dover Publications
ISBN: 0486824586
Format: PDF, ePub, Docs
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This outstanding text concentrates on the mathematical ideas underlying various asymptotic methods for ordinary differential equations that lead to full, infinite expansions. "A book of great value." — Mathematical Reviews. 1976 revised edition.

The Life Cycle of US Economic Expansions

Author: Edward E. Leamer
Publisher:
ISBN:
Format: PDF, Docs
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Graphs that allow side by side comparisons of the six longer US expansions since 1950 suggest that these expansions have four distinct phases: (1) a high growth recovery during which the rate of unemployment declines to its pre-recession level, (2) a modest growth plateau during which the rate of unemployment is constant, (3) a growth spurt that drives unemployment down further and (4) a second plateau with modest growth and constant rate of unemployment. There have been only three expansions that have experienced the spurt and none has experienced a second spurt. These phases involve substantially different rates of GDP growth, but within each of these four phases GDP growth is largely unpredictable. Forecast accuracy thus comes mostly from understanding the transitions. This requires both data and economics. The economics takes the form of a predator/prey model of the cycle, where the prey are investment opportunities and the predators are entrepreneurs. A probit model of the transition into recession raises concerns about how much longer the aged Bush/Clinton expansion can last.

Expansions and Asymptotics for Statistics

Author: Christopher G. Small
Publisher: CRC Press
ISBN: 9781420011029
Format: PDF, ePub
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Asymptotic methods provide important tools for approximating and analysing functions that arise in probability and statistics. Moreover, the conclusions of asymptotic analysis often supplement the conclusions obtained by numerical methods. Providing a broad toolkit of analytical methods, Expansions and Asymptotics for Statistics shows how asymptotics, when coupled with numerical methods, becomes a powerful way to acquire a deeper understanding of the techniques used in probability and statistics. The book first discusses the role of expansions and asymptotics in statistics, the basic properties of power series and asymptotic series, and the study of rational approximations to functions. With a focus on asymptotic normality and asymptotic efficiency of standard estimators, it covers various applications, such as the use of the delta method for bias reduction, variance stabilisation, and the construction of normalising transformations, as well as the standard theory derived from the work of R.A. Fisher, H. Cramér, L. Le Cam, and others. The book then examines the close connection between saddle-point approximation and the Laplace method. The final chapter explores series convergence and the acceleration of that convergence.

Asymptotic Expansions

Author: A. Erdélyi
Publisher: Courier Corporation
ISBN: 0486155056
Format: PDF, Mobi
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Various methods for asymptotic evaluation of integrals containing a large parameter, and solutions of ordinary linear differential equations by means of asymptotic expansion.

Asymptotic Expansions of Integrals

Author: Norman Bleistein
Publisher: Courier Corporation
ISBN: 0486650820
Format: PDF, Mobi
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Excellent introductory text, written by two experts, presents a coherent and systematic view of principles and methods. Topics include integration by parts, Watson's lemma, LaPlace's method, stationary phase, and steepest descents. Additional subjects include the Mellin transform method and less elementary aspects of the method of steepest descents. 1975 edition.

Big Sports Big Business

Author: Frank P. Jozsa
Publisher: Greenwood Publishing Group
ISBN: 9780275991340
Format: PDF, Mobi
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Explains the how, what, and why of sports league expansions, mergers, relocations, and reorganizations--and what this all means for the future of professional sports.