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The study of isoperimetric inequalities involves a fascinating interplay of analysis, geometry and the theory of partial differential equations. Several conjectures have been made and while many have been resolved, a large number still remain open. One of the principal tools in the study of isoperimetric problems, especially when spherical symmetry is involved, is Schwarz symmetrization, which is also known as the spherically symmetric and decreasing rearrangement of functions. The aim of this book is to give an introduction to the theory of Schwarz symmetrization and study some of its applications. The book gives an modern and up-to-date treatment of the subject and includes several new results proved recently. Effort has been made to keep the exposition as simple and self-contained as possible. A knowledge of the existence theory of weak solutions of elliptic partial differential equations in Sobolev spaces is, however, assumed. Apart from this and a general mathematical maturity at the graduate level, there are no other prerequisites.
Human-Machine Shared Contexts considers the foundations, metrics, and applications of human-machine systems. Editors and authors debate whether machines, humans, and systems should speak only to each other, only to humans, or to both and how. The book establishes the meaning and operation of "shared contexts between humans and machines; it also explores how human-machine systems affect targeted audiences (researchers, machines, robots, users) and society, as well as future ecosystems composed of humans and machines. This book explores how user interventions may improve the context for autonomous machines operating in unfamiliar environments or when experiencing unanticipated events; how autonomous machines can be taught to explain contexts by reasoning, inferences, or causality, and decisions to humans relying on intuition; and for mutual context, how these machines may interdependently affect human awareness, teams and society, and how these "machines" may be affected in turn. In short, can context be mutually constructed and shared between machines and humans? The editors are interested in whether shared context follows when machines begin to think, or, like humans, develop subjective states that allow them to monitor and report on their interpretations of reality, forcing scientists to rethink the general model of human social behavior. If dependence on machine learning continues or grows, the public will also be interested in what happens to context shared by users, teams of humans and machines, or society when these machines malfunction. As scientists and engineers "think through this change in human terms," the ultimate goal is for AI to advance the performance of autonomous machines and teams of humans and machines for the betterment of society wherever these machines interact with humans or other machines. This book will be essential reading for professional, industrial, and military computer scientists and engineers; machine learning (ML) and artificial intelligence (AI) scientists and engineers, especially those engaged in research on autonomy, computational context, and human-machine shared contexts; advanced robotics scientists and engineers; scientists working with or interested in data issues for autonomous systems such as with the use of scarce data for training and operations with and without user interventions; social psychologists, scientists and physical research scientists pursuing models of shared context; modelers of the internet of things (IOT); systems of systems scientists and engineers and economists; scientists and engineers working with agent-based models (ABMs); policy specialists concerned with the impact of AI and ML on society and civilization; network scientists and engineers; applied mathematicians (e.g., holon theory, information theory); computational linguists; and blockchain scientists and engineers. - Discusses the foundations, metrics, and applications of human-machine systems - Considers advances and challenges in the performance of autonomous machines and teams of humans - Debates theoretical human-machine ecosystem models and what happens when machines malfunction
This work brings together a collection of 13 contributions that apply activity theory - a psychological theory with a naturalistic emphasis - to problems of human-computer interaction. It presents activity theory as a means of structuring and guiding field studies of human-computer interaction.
In recent years, the challenge of relating one’s own theological concept of man and his destiny to secular topics, such as the inviolability of human dignity, has generated a dynamic discourse about how Islamic anthropology can help cultivate and perfect the individual self and social ‘humanisation’. This anthology brings together contemporary Muslim and non-Muslim approaches to the secular notion of human dignity with reference to the Islamic tradition in general and the anthropology of the Qur’ān in particular. The collection presents approaches to Islamic theological anthropology, across a range of fields, especially with regard to the narrative of Adam and Iblīs, which occurs in all monotheistic traditions. It focuses on the specific ‘grammars’ of anthropological narratives at the levels of the canonical text of the Qur’ān itself (Section I) and the interpretations that focus on its performative discourse (Section II). Further to this, the normative implications of the human images that are derived from the canonical text and its interpretations are discussed in Section III. The dynamic interdependencies between the hermeneutics of the Qur’ān, theological anthropology and legal philosophy, particularly in the European context, are a promising field of research that not only allows a deeper insight into the multiperspectivity and indexicality of theological anthropology, but also has the potential to facilitate the long-overdue discursive cooperation and rapprochement between Muslim and non-Muslim scholarship.
This book is a contribution to African philosophy, by philosophers focusing specifically on the concept of human dignity in ethical theory. The concept of ‘human dignity’ denotes the intrinsic and superlative worth associated with human beings in virtue of which we owe them utmost moral regard. Although dignity is a foundational concept for African philosophy, there remains scant literature in African philosophy dedicated to critical and systematic reflection on the concept of human dignity. This volume responds to this lacuna by bringing together chapters that offer philosophical exposition, defense (or even rejection) and application of the concept of human dignity in light of intellectual resources in African cultures, such as ubuntu, personhood, and serithi.
Property as a human rights concern is manifested through its incorporation in international instruments and as a subject of the law through property-related cases considered by international human rights organs. Yet, for the most part, the relationship between property and human rights has been discussed in rather superficial terms, lacking a clear substantive connection or common language. That said, the currents of globalisation have witnessed a new era of interrelation between these two areas of the law, including the emergence of international intellectual property law and the recognition of indigenous claims, which, in fundamental ways, speak to an engagement with human rights law. This collection starts the conversation between human rights lawyers and property lawyers and explores analytical approaches to the increasing relationship between property and human rights in a global context. The chapters engage with key theoretical and policy debates and range across three main themes: The re-evaluation of the public/private divide in the law; the tensions between the market and social justice in development and the balance between the rights of individuals and those of communities. The chapters adopt a global, comparative perspective and engage in case studies from countries including India, Philippines, Brazil, the United States, the United Kingdom and includes various regions of Africa and Europe.
This volume analyses the prospects and challenges of the African Court of Justice and Human and Peoples' Rights in context. The book is for all readers interested in African institutions and contemporary global challenges of peace, security, human rights, and international law. This title is also available as Open Access on Cambridge Core.
This book explores the ways in which socio-technical settings in medical contexts find varying articulations in a specific locale. Focusing on Japan, it consists of nine case studies on topics concerning: experiences with radiation in Hiroshima, Nagasaki, and Fukushima; patient security, end-of-life and high-tech medicine in hospitals; innovation and diffusion of medical technology; and the engineering and evaluating of novel devices in clinical trials. The individual chapters situate humans and devices in medical settings in their given semantic, pragmatic, institutional and historical context. A highly interdisciplinary approach offers deep insights beyond the manifold findings of each case study, thereby enriching academic discussions on socio-technical settings in medical contexts amongst affiliated disciplines. This volume will be of broad interest to scholars, practitioners, policy makers and students from various disciplines, including Science and Technology Studies (STS), medical humanities, social sciences, ethics and law, business and innovation studies, as well as biomedical engineering, medicine and public health.
Healthcare information technologies are now routinely deployed in a variety of healthcare contexts. These contexts differ widely, but the smooth integration of IT systems is crucial, so the design, implementation, and evaluation of safe, effective, efficient and easy to adopt health informatics involves careful consideration of both human and organizational factors. This book presents the proceedings of the Context Sensitive Health Informatics (CSHI) conference, held in Copenhagen, Denmark, in August 2013. The theme of this year’s conference is human and sociotechnical approaches. The Human Factors approach is distinctly design-driven and aims to optimize performance, safety and users’ sense of well-being associated with their use of a system through the application of user-centered systems design and evaluation. The papers and presentations included here are grouped under the topics: patients and IT; usability test and evaluation; work tasks and related contexts; human factors and simulation; and context and systems design, and outline theories and models for studying contextual issues and insights related to how health information technologies can be better designed to accommodate different healthcare contexts. Healthcare organizations, health policy makers and regulatory bodies globally are starting to acknowledge this essential role of human and organizational factors for safe and effective health information technology. This book will be of interest to all those involved in improving the quality of healthcare worldwide.