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This book provides the basis of a formal language and explores its possibilities in the characterization of multiplex networks. Armed with the formalism developed, the authors define structural metrics for multiplex networks. A methodology to generalize monoplex structural metrics to multiplex networks is also presented so that the reader will be able to generalize other metrics of interest in a systematic way. Therefore, this book will serve as a guide for the theoretical development of new multiplex metrics. Furthermore, this Brief describes the spectral properties of these networks in relation to concepts from algebraic graph theory and the theory of matrix polynomials. The text is rounded off by analyzing the different structural transitions present in multiplex systems as well as by a brief overview of some representative dynamical processes. Multiplex Networks will appeal to students, researchers, and professionals within the fields of network science, graph theory, and data science.
This block explores the diffusion equation which is most commonly encountered in discussions of the flow of heat and of molecules moving in liquids, but diffusion equations arise from many different areas of applied mathematics. As well as considering the solutions of diffusion equations in detail, we also discuss the microscopic mechanism underlying the diffusion equation, namely that particles of matter or heat move erratically. This involves a discussion of elementary probability and statistics, which are used to develop a description of random walk processes and of the central limit theorem. These concepts are used to show that if particles follow random walk trajectories, their density obeys the diffusion equation.
Introduces network inspired approaches for the analysis and integration of large, heterogeneous data sets in the life sciences.
A young theoretical physicist's guide to how the radical new science of counterfactuals can reveal the full scope of our universe There is a vast class of properties that science has so far almost entirely neglected. These properties are central to an understanding of physical reality both at an everyday level and at the level of fundamental phenomena, yet they have traditionally been thought of as impossible to incorporate into fundamental explanations. They relate not only to what is true - the actual - but to what could be true - the counterfactual. This is the science of can and can't. Chiara Marletto, a pioneer in this field, explores the promise that this fascinating, far-reaching appr...
Machine generated contents note: Foreword, Zindel V. Segal 1. Unpacking Mindfulness 2. A Map of the Mind: Attention, Perception, and the Judging Mind 3. A Map of the Mind: Being and Knowing 4. A Buddhist Psychology Map: From Suffering to Flourishing 5. An Integrated Map of Distress and Suffering 6. Transformation: A Route Map through Mindfulness Training 7. The Heart of the Practice: Befriending, Compassion, Joy, and Equanimity 8. Embodiment: Living the Life We Aspire To 9. Ethics and Integrity in Mindfulness-Based Programs 10. A Final Word Appendix 1. Definitions of Key Terms Appendix 2. What Is Mindfulness Training and a Mindfulness-Based Program? Notes References Index.
“Anyone grappling with the bewilderment of midlife…will be at once provoked and comforted by this enormously wise book” (Dani Shapiro, New York Times bestselling author of Hourglass: Time, Memory, Marriage), from a psychologist who has worked for decades with people struggling to preserve and enhance their marriages and long-term relationships. People today are trying to make their marriages work over longer lives than ever before. But staying married isn’t always easy. In the brilliant, transformative, and optimistic The Rough Patch, clinical psychologist Daphne de Marneffe explores the extraordinary pushes and pulls of midlife marriage, where our need to develop as individuals can ...
An overview of current models of biological systems, reflecting the major advances that have been made over the past decade.
The science of networks represented a substantial change in the way we see natural and technological phenomena. Now we have a better understanding that networks are, in most cases, networks of networks or multi-layered networks. This book provides a summary of the research done during one of the largest and most multidisciplinary projects in network science and complex systems (Multiplex). The science of complex networks originated from the empirical evidence that most of the structures of systems such as the internet, sets of protein interactions, and collaboration between people, share (at least qualitatively) common structural properties. This book examines how properties of networks that interact with other networks can change dramatically. The authors show that, dependent on the properties of links that interconnect two or more networks, we may derive different conclusions about the function and the possible vulnerabilities of the overall system of networks. This book presents a series of novel theoretical results together with their applications, providing a comprehensive overview of the field.
This book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks. The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology. This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and reference on this topic for a wide range of students and professional researchers.
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