An Introduction to Extremal Kahler Metrics

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Release : 2014-06-19
Genre : Mathematics
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Book Rating : 478/5 ( reviews)

An Introduction to Extremal Kahler Metrics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Extremal Kahler Metrics write by Gábor Székelyhidi. This book was released on 2014-06-19. An Introduction to Extremal Kahler Metrics available in PDF, EPUB and Kindle. A basic problem in differential geometry is to find canonical metrics on manifolds. The best known example of this is the classical uniformization theorem for Riemann surfaces. Extremal metrics were introduced by Calabi as an attempt at finding a higher-dimensional generalization of this result, in the setting of Kähler geometry. This book gives an introduction to the study of extremal Kähler metrics and in particular to the conjectural picture relating the existence of extremal metrics on projective manifolds to the stability of the underlying manifold in the sense of algebraic geometry. The book addresses some of the basic ideas on both the analytic and the algebraic sides of this picture. An overview is given of much of the necessary background material, such as basic Kähler geometry, moment maps, and geometric invariant theory. Beyond the basic definitions and properties of extremal metrics, several highlights of the theory are discussed at a level accessible to graduate students: Yau's theorem on the existence of Kähler-Einstein metrics, the Bergman kernel expansion due to Tian, Donaldson's lower bound for the Calabi energy, and Arezzo-Pacard's existence theorem for constant scalar curvature Kähler metrics on blow-ups.

Mastering 'Metrics

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Release : 2014-12-21
Genre : Business & Economics
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Book Rating : 845/5 ( reviews)

Mastering 'Metrics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mastering 'Metrics write by Joshua D. Angrist. This book was released on 2014-12-21. Mastering 'Metrics available in PDF, EPUB and Kindle. From Joshua Angrist, winner of the Nobel Prize in Economics, and Jörn-Steffen Pischke, an accessible and fun guide to the essential tools of econometric research Applied econometrics, known to aficionados as 'metrics, is the original data science. 'Metrics encompasses the statistical methods economists use to untangle cause and effect in human affairs. Through accessible discussion and with a dose of kung fu–themed humor, Mastering 'Metrics presents the essential tools of econometric research and demonstrates why econometrics is exciting and useful. The five most valuable econometric methods, or what the authors call the Furious Five—random assignment, regression, instrumental variables, regression discontinuity designs, and differences in differences—are illustrated through well-crafted real-world examples (vetted for awesomeness by Kung Fu Panda's Jade Palace). Does health insurance make you healthier? Randomized experiments provide answers. Are expensive private colleges and selective public high schools better than more pedestrian institutions? Regression analysis and a regression discontinuity design reveal the surprising truth. When private banks teeter, and depositors take their money and run, should central banks step in to save them? Differences-in-differences analysis of a Depression-era banking crisis offers a response. Could arresting O. J. Simpson have saved his ex-wife's life? Instrumental variables methods instruct law enforcement authorities in how best to respond to domestic abuse. Wielding econometric tools with skill and confidence, Mastering 'Metrics uses data and statistics to illuminate the path from cause to effect. Shows why econometrics is important Explains econometric research through humorous and accessible discussion Outlines empirical methods central to modern econometric practice Works through interesting and relevant real-world examples

Actionable Agile Metrics for Predictability

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Release : 2015-03-04
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Book Rating : 338/5 ( reviews)

Actionable Agile Metrics for Predictability - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Actionable Agile Metrics for Predictability write by Daniel S. Vacanti. This book was released on 2015-03-04. Actionable Agile Metrics for Predictability available in PDF, EPUB and Kindle. "When will it be done?" That is probably the first question your customers ask you once you start working on something for them. Think about how many times you have been asked that question. How many times have you ever actually been right? We can debate all we want whether this is a fair question to ask given the tremendous amount of uncertainty in knowledge work, but the truth of the matter is that our customers are going to inquire about completion time whether we like it or not. Which means we need to come up with an accurate way to answer them. The problem is that the forecasting tools that we currently utilize have made us ill-equipped to provide accurate answers to reasonable customer questions. Until now. Topics Include Why managing for flow is the best strategy for predictability-including an introduction to Little's Law and its implications for flow. A definition of the basic metrics of flow and how to properly visualize those metrics in analytics like Cumulative Flow Diagrams and Scatterplots. Why your process policies are the potentially the biggest reason that you are unpredictable.

Metrics, Norms And Integrals: An Introduction To Contemporary Analysis

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Release : 2008-11-11
Genre : Mathematics
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Book Rating : 180/5 ( reviews)

Metrics, Norms And Integrals: An Introduction To Contemporary Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Metrics, Norms And Integrals: An Introduction To Contemporary Analysis write by Jerry J Koliha. This book was released on 2008-11-11. Metrics, Norms And Integrals: An Introduction To Contemporary Analysis available in PDF, EPUB and Kindle. Metrics, Norms and Integrals is a textbook on contemporary analysis based on the author's lectures given at the University of Melbourne for over two decades. It covers three main topics: metric and topological spaces, functional analysis, and the theory of the Lebesgue integral on measure spaces. This self-contained text contains a number of original presentations, including an early introduction of pseudometric spaces to motivate general topologies, an innovative introduction to the Lebesgue integral, and a discussion on the use of the Newton integral. It is thus a valuable book to inform and stimulate both undergraduate and graduate students.

Metrics at Work

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Release : 2020-06-30
Genre : Social Science
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Book Rating : 009/5 ( reviews)

Metrics at Work - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Metrics at Work write by Angèle Christin. This book was released on 2020-06-30. Metrics at Work available in PDF, EPUB and Kindle. The starkly different ways that American and French online news companies respond to audience analytics and what this means for the future of news When the news moved online, journalists suddenly learned what their audiences actually liked, through algorithmic technologies that scrutinize web traffic and activity. Has this advent of audience metrics changed journalists’ work practices and professional identities? In Metrics at Work, Angèle Christin documents the ways that journalists grapple with audience data in the form of clicks, and analyzes how new forms of clickbait journalism travel across national borders. Drawing on four years of fieldwork in web newsrooms in the United States and France, including more than one hundred interviews with journalists, Christin reveals many similarities among the media groups examined—their editorial goals, technological tools, and even office furniture. Yet she uncovers crucial and paradoxical differences in how American and French journalists understand audience analytics and how these affect the news produced in each country. American journalists routinely disregard traffic numbers and primarily rely on the opinion of their peers to define journalistic quality. Meanwhile, French journalists fixate on internet traffic and view these numbers as a sign of their resonance in the public sphere. Christin offers cultural and historical explanations for these disparities, arguing that distinct journalistic traditions structure how journalists make sense of digital measurements in the two countries. Contrary to the popular belief that analytics and algorithms are globally homogenizing forces, Metrics at Work shows that computational technologies can have surprisingly divergent ramifications for work and organizations worldwide.