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Titlebook: Optimal Transport and Applications to Geometric Optics; Cristian E. Gutiérrez Book 2023 The Editor(s) (if applicable) and The Author(s), u

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发表于 2025-3-21 17:58:41 | 显示全部楼层 |阅读模式
书目名称Optimal Transport and Applications to Geometric Optics
编辑Cristian E. Gutiérrez
视频video
概述Explores the connection between optimal transport and geometric optics, focusing on the design of free-form lenses.Offers self-contained presentation, with detailed explanations and full proofs of the
丛书名称SpringerBriefs on PDEs and Data Science
图书封面Titlebook: Optimal Transport and Applications to Geometric Optics;  Cristian E. Gutiérrez Book 2023 The Editor(s) (if applicable) and The Author(s), u
描述.This book concerns the theory of optimal transport (OT) and its applications to solving problems in geometric optics. It is a self-contained presentation including a detailed analysis of the Monge problem, the Monge-Kantorovich problem, the transshipment problem, and the network flow problem. A chapter on Monge-Ampère measures is included containing also exercises. A detailed analysis of the Wasserstein metric is also carried out. For the applications to optics, the book describes the necessary background concerning light refraction, solving both far-field and near-field refraction problems, and indicates lines of current research in this area.. .Researchers in the fields of mathematical analysis, optimal transport, partial differential equations (PDEs), optimization, and optics will find this book valuable. It is also suitable for graduate students studying mathematics, physics, and engineering. The prerequisites for this book include a solid understanding of measure theory and integration, as well as basic knowledge of functional analysis..
出版日期Book 2023
关键词Monge-Kantorovich problem; Wasserstein distance; Kantorovich-Rubinstein duality; Monge-Ampère equation;
版次1
doihttps://doi.org/10.1007/978-981-99-4867-3
isbn_softcover978-981-99-4866-6
isbn_ebook978-981-99-4867-3Series ISSN 2731-7595 Series E-ISSN 2731-7609
issn_series 2731-7595
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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发表于 2025-3-21 22:13:38 | 显示全部楼层
Cristian E. Gutiérrezthat the Fichtean argument presents in this book, some interpretations argue that Fichte’s ethics could be understood as consequentialist or as agent-neutral perfectionism. I squarely argue against this consequentialist interpretation and express doubt about some aspects of the perfectionism alterna
发表于 2025-3-22 01:47:17 | 显示全部楼层
Cristian E. Gutiérrezegger, calls “commitment” (.) or “resoluteness” (.). There is something paradoxical about commitment, however. As Joseph Rouse puts it: A “self-determined commitment could have only the . of authority,” since, “as Kierkegaard trenchantly noted, the authority that a commitment could secure through se
发表于 2025-3-22 05:20:17 | 显示全部楼层
Cristian E. Gutiérrezst invoked in the context of the French third Republic, as a way to confront the challenge of social integration. Some of those problems revolve around the naturalistic fallacy (does solidarity merely refer to the fact of human interdependence or does it involve a duty?), while others concern the na
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发表于 2025-3-22 16:49:02 | 显示全部楼层
pters in the first part (“Normativity and Social Bonds from Kant to Heidegger”) aim to explore these themes in the philosophy of Kant, Fichte, Hegel, Husserl, and Heidegger. They examine the phenomenon of “bindingness”, i.e., why and how we are bound. By bond, we mean something broader than strict m
发表于 2025-3-22 19:57:44 | 显示全部楼层
Cristian E. Gutiérrezegger, calls “commitment” (.) or “resoluteness” (.). There is something paradoxical about commitment, however. As Joseph Rouse puts it: A “self-determined commitment could have only the . of authority,” since, “as Kierkegaard trenchantly noted, the authority that a commitment could secure through se
发表于 2025-3-22 23:48:08 | 显示全部楼层
Cristian E. GutiérrezIn: Zollschan GK, Hirsch HW (eds) Explorations in social change. Houghton Mifflin, Boston, 1964) is the springboard for sketching a brief, analytical history of progressive reductions in social bonds and bonding during late modernity. When taken together with the systemic crises of the new millenniu
发表于 2025-3-23 03:42:14 | 显示全部楼层
发表于 2025-3-23 06:45:37 | 显示全部楼层
r this question, I consider two different and complementary approaches to the issue of surveillance: the now classic view of Bauman and the more recent, but already well-known, view of Zuboff. I show how Bauman focuses mainly on subjective factors, represented by the psychic motivations of the user,
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