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Author: Steve Y. Oudot Publisher: American Mathematical Soc. ISBN: 1470434431 Category : Languages : en Pages : 218
Book Description
Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.
Author: Steve Y. Oudot Publisher: American Mathematical Soc. ISBN: 1470434431 Category : Languages : en Pages : 218
Book Description
Persistence theory emerged in the early 2000s as a new theory in the area of applied and computational topology. This book provides a broad and modern view of the subject, including its algebraic, topological, and algorithmic aspects. It also elaborates on applications in data analysis. The level of detail of the exposition has been set so as to keep a survey style, while providing sufficient insights into the proofs so the reader can understand the mechanisms at work. The book is organized into three parts. The first part is dedicated to the foundations of persistence and emphasizes its connection to quiver representation theory. The second part focuses on its connection to applications through a few selected topics. The third part provides perspectives for both the theory and its applications. The book can be used as a text for a course on applied topology or data analysis.
Author: Michael P. Fischerkeller Publisher: Oxford University Press ISBN: 0197638252 Category : Cyberspace Languages : en Pages : 273
Book Description
"In 'Cyber Persistence Theory', Michael P. Fischerkeller, Emily O. Goldman, and Richard J. Harknett argue that this current theory only works well in the cyber strategic space of armed conflict but it is completely misaligned for conflict outside of war - where most state-sponsored adversarial cyber activity occurs. As they show, the reigning paradigm of deterrence theory cannot fully explain what is taking place with respect to cyber conflict. Therefore, the authors develop a novel approach to national cyber security strategy and policy that realigns theory and practice."--
Author: Meghan Sullivan Publisher: Oxford University Press ISBN: 0198812841 Category : Philosophy Languages : en Pages : 208
Book Description
Should you care less about your distant future? What about events in your life that have already happened? How should the passage of time affect your planning and assessment of your life? Most of us think it is irrational to ignore the future but completely harmless to dismiss the past. But this book argues that rationality requires temporal neutrality: if you are rational you don't engage in any kind of temporal discounting. The book draws on puzzles about real-life planning to build the case for temporal neutrality. How much should you save for retirement? Does it make sense to cryogenically freeze your brain after death? How much should you ask to be compensated for a past injury? Will climate change make your life meaningless? Meghan Sullivan considers what it is for you to be a person extended over time, how time affects our ability to care about ourselves, and all of the ways that our emotions might bias our rational planning. Drawing substantially from work in social psychology, economics and the history of philosophy, the book offers a systematic new theory of rational planning.
Author: Frédéric Chazal Publisher: Springer ISBN: 3319425455 Category : Mathematics Languages : en Pages : 120
Book Description
This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations. Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.
Author: Leonid Polterovich Publisher: American Mathematical Soc. ISBN: 1470454955 Category : Education Languages : en Pages : 128
Book Description
The theory of persistence modules originated in topological data analysis and became an active area of research in algebraic topology. This book provides a concise and self-contained introduction to persistence modules and focuses on their interactions with pure mathematics, bringing the reader to the cutting edge of current research. In particular, the authors present applications of persistence to symplectic topology, including the geometry of symplectomorphism groups and embedding problems. Furthermore, they discuss topological function theory, which provides new insight into oscillation of functions. The book is accessible to readers with a basic background in algebraic and differential topology.
Author: Douglas Ehring Publisher: Oxford University Press ISBN: 0195355342 Category : Philosophy Languages : en Pages : 202
Book Description
Ehring shows the inadequacy of received theories of causation, and, introducing conceptual devices of his own, provides a wholly new account of causation as the persistence over time of individual properties, or "tropes."
Author: Gabriel R. Ricci Publisher: Routledge ISBN: 1351477552 Category : Philosophy Languages : en Pages : 276
Book Description
The latest volume of Culture and Civilization gathers contemporary exponents of critical theory, specifically those based in the Frankfurt School of social thinking. Collectively, this volume demonstrates the continuing intellectual viability of critical theory, which challenges the limits of positivism and materialism. We may question how the theoretical framework of Marxism fails to coordinate with the conditions that defined labor forces, as did Max Horkheimer and Theodor Adorno, or deliberate on the conditions that justify the claims we make through public discourse, as did Jurgen Habermas. Or, like Axel Honneth, we may reflect on recognition theory as a means of addressing social problems. Whatever our objective, the focus of critical theory continues to be the consciousness of established "positive" interests that, without debate, may sustain injustices or conditions which the public may not have chosen to impose. Throughout the hardship of punitive dismissal and exile in the 1930s and 40s, and the shock of the New Left in the 1960s and 70s, and finally the later linguistic and pragmatic turn, the Frankfurt School has sustained the idea that people escape disaffection and alienation when their knowledge of the social and political world is dialectically mediated through creative interaction. This new volume in the Culture and Civilization series continues the tradition of critical thought.
Author: Hal L. Smith Publisher: American Mathematical Soc. ISBN: 082184945X Category : Mathematics Languages : en Pages : 426
Book Description
Providing a self-contained treatment of persistence theory that is accessible to graduate students, this monograph includes chapters on infinite-dimensional examples including an SI epidemic model with variable infectivity, microbial growth in a tubular bioreactor, and an age-structured model of cells growing in a chemostat.
Author: M. Sullivan Publisher: Springer ISBN: 0230107338 Category : Political Science Languages : en Pages : 317
Book Description
This book is a synthetic historiography of present-day international relations theory, a critical analysis of the continuing diversity and complexity of enduring themes through a sustained focus on the analysis of the empirical evidence accumulated by social scientists. Special attention is given to key historical changes in theoretical approaches over the past half-century with full recognition of the contestation over state-based theory, and the changing fortunes of contemporary approaches. The book suggests that viable theories must transcend current intellectual fashion, and attempts to bring together theory and practice while demonstrating the difficulty of assessing competing theories. It addresses multiple strands of thought and assumes that their development cannot be understood in isolation from each other.
Author: Steve Y. Oudot
Author: Steve Y. Oudot
Author: Michael P. Fischerkeller
Author: Meghan Sullivan
Author: Frédéric Chazal
Author: Leonid Polterovich
Author: Benjamin Noys
Author: Douglas Ehring
Author: Gabriel R. Ricci
Author: Hal L. Smith
Author: M. Sullivan