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Nonlinear theories. --- Regression analysis. --- Analysis, Regression --- Linear regression --- Regression modeling --- Multivariate analysis --- Structural equation modeling --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics

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This book is the third volume of lecture notes from summer schools held in the small village of Peyresq (France). These lectures cover nonlinear physics in a broad sense. They were given over the period 2004 to 2008. The summer schools were organized by the Institut Non Linéaire de Nice (Nice, France), the Laboratoire de Physique Statistique (ENS Paris, France) and the Institut de Recherche de Physique Hors Equilibre (Marseilles, France). The goal of the book is to provide a high-quality overview on the state of the art in nonlinear sciences, and to promote the transfer of knowledge between th

Chaotic behavior in systems. --- Mathematical physics. --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Physical mathematics --- Physics --- Chaos in systems --- Chaos theory --- Chaotic motion in systems --- Differentiable dynamical systems --- Dynamics --- Nonlinear theories --- System theory --- Mathematics

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Fracture Mechanics of Electromagnetic Materials provides a comprehensive overview of fracture mechanics of conservative and dissipative materials, as well as a general formulation of nonlinear field theory of fracture mechanics and a rigorous treatment of dynamic crack problems involving coupled magnetic, electric, thermal and mechanical field quantities.Thorough emphasis is placed on the physical interpretation of fundamental concepts, development of theoretical models and exploration of their applications to fracture characterization in the presence of magneto-electro-thermo-mechanical coupl

Fracture mechanics --- Nonlinear theories. --- Magnetic materials --- Materials --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Failure of solids --- Fracture of materials --- Fracture of solids --- Mechanics, Fracture --- Solids --- Deformations (Mechanics) --- Strength of materials --- Brittleness --- Penetration mechanics --- Structural failures --- Mathematics. --- Fracture. --- Fracture --- Fatigue

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This invaluable volume ends the quest to uncover the secret recipes for predicting the long-term evolution of a ring of identical elementary cells where the binary state of each cell during each generation of an attractor (i.e. after the transients had disappeared) is determined uniquely by the state of its left and right neighbors in the previous generation, as decreed by one of 256 truth tables. As befitting the contents aimed at school children, it was found pedagogically appealing to code each truth table by coloring each of the 8 vertices of a cubical graph in red (for binary state 1), or

Cellular automata. --- Computational complexity. --- Dynamics. --- Nonlinear theories. --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Complexity, Computational --- Electronic data processing --- Machine theory --- Computers, Iterative circuit --- Iterative circuit computers --- Structures, Tessellation (Automata) --- Tessellation structures (Automata) --- Parallel processing (Electronic computers) --- Pattern recognition systems --- Sequential machine theory --- Wolfram, Stephen. --- Wolfram, Stephen, --- Electronic books. --- Books in machine-readable form --- Digital books --- E-books --- Ebooks --- Online books --- Books --- Electronic publications --- Wolfram, S.

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The most important characteristic of the “world filled with nonlinearity” is the existence of scale interference: disparate space–time scales interfere with each other. Thus, the effects of unknowable scales invade the world that we can observe directly. This leads to various peculiar phenomena such as chaos, critical phenomena, and complex biological phenomena, among others. Conceptual analysis and phenomenology are the keys to describe and understand phenomena that are subject to scale interference, because precise description of unfamiliar phenomena requires precise concepts and their phenomenological description. The book starts with an illustration of conceptual analysis in terms of chaos and randomness, and goes on to explain renormalization group philosophy as an approach to phenomenology. Then, abduction is outlined as a way to express what we have understood about the world. The book concludes with discussions on how we can approach genuinely complex phenomena, including biological phenomena. The main target of this volume is young people who have just started to appreciate the world seriously. The author also wishes the book to be helpful to those who have been observing the world, but who wish to appreciate it afresh from a different angle.

Nonlinear theories. --- Phenomenological biology. --- Synergetics. --- Phenomenological biology --- Nonlinear theories --- Synergetics --- Biology --- Philosophy & Religion --- Physics --- Physical Sciences & Mathematics --- Health & Biological Sciences --- Biology - General --- Atomic Physics --- Philosophy --- Biological phenomenology --- Physics. --- Systems biology. --- Applied mathematics. --- Engineering mathematics. --- Statistical physics. --- Dynamical systems. --- Complexity, Computational. --- Vibration. --- Dynamics. --- Statistical Physics, Dynamical Systems and Complexity. --- Complexity. --- Systems Biology. --- Applications of Mathematics. --- Vibration, Dynamical Systems, Control. --- Phenomenology --- System theory --- Self-organizing systems --- Nonlinear problems --- Nonlinearity (Mathematics) --- Calculus --- Mathematical analysis --- Mathematical physics --- Engineering. --- Biological models. --- Mathematics. --- Complex Systems. --- Statistical Physics and Dynamical Systems. --- Mathematical statistics --- Cycles --- Mechanics --- Sound --- Math --- Science --- Models, Biological --- Construction --- Industrial arts --- Technology --- Statistical methods --- Computational complexity. --- Dynamical systems --- Kinetics --- Mathematics --- Mechanics, Analytic --- Force and energy --- Statics --- Engineering --- Engineering analysis --- Computational biology --- Bioinformatics --- Biological systems --- Molecular biology --- Complexity, Computational --- Electronic data processing --- Machine theory