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A nonsimple (complex) system indicates a mix of crucial and non-crucial events, with very different statistical properties. It is the crucial events that determine the efficiency of information exchange between complex networks. For a large class of nonsimple systems, crucial events determine catastrophic failures - from heart attacks to stock market crashes.This interesting book outlines a data processing technique that separates the effects of the crucial from those of the non-crucial events in nonsimple time series extracted from physical, social and living systems. Adopting an informal conversational style, without sacrificing the clarity necessary to explain, the contents will lead the reader through concepts such as fractals, complexity and randomness, self-organized criticality, fractional-order differential equations of motion, and crucial events, always with an eye to helping to interpret what mathematics usually does in the development of new scientific knowledge.Both researchers and novitiate will find Crucial Events useful in learning more about the science of nonsimplicity.
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Offers a lens through which modern society is shown to depend on complex networks for its stability. This text reviews, in non-mathematical language, what we know about the development of science in the twenty-first century and how that knowledge influences our world.
Provides a comprehensive overview of a nascent theory of medicine, including a chapter on the theory of complex networks as they pertain to medicine. This book is concerned with the application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena.
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