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Homogenization and materials design of mechanical properties of textured materials based on zeroth-, first- and second-order bounds of linear behavior

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Book Series: Schriftenreihe Kontinuumsmechanik im Maschinenbau / Karlsruher Institut für Technologie, Institut für Technische Mechanik - Bereich Kontinuumsmechanik ISSN: 2192693X ISBN: 9783731507703 Year: Volume: 12 Pages: IX, 199 p. DOI: 10.5445/KSP/1000080683 Language: ENGLISH
Publisher: KIT Scientific Publishing
Subject: Technology (General)
Added to DOAB on : 2019-07-28 18:37:01
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This work approaches the fields of homogenization and of materials design for the linear and nonlinear mechanical properties with prescribed properties-profile. The set of achievable properties is bounded by the zeroth-order bounds (which are material specific), the first-order bounds (containing volume fractions of the phases) and the second-order Hashin-Shtrikman bounds with eigenfields in terms of tensorial texture coefficients for arbitrarily anisotropic textured materials.

Quantum Nonlocality

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ISBN: 9783038979487 9783038979494 Year: Pages: 238 DOI: 10.3390/books978-3-03897-949-4 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Physics (General)
Added to DOAB on : 2019-06-26 08:44:06
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This book presents the current views of leading physicists on the bizarre property of quantum theory: nonlocality. Einstein viewed this theory as “spooky action at a distance” which, together with randomness, resulted in him being unable to accept quantum theory. The contributions in the book describe, in detail, the bizarre aspects of nonlocality, such as Einstein–Podolsky–Rosen steering and quantum teleportation—a phenomenon which cannot be explained in the framework of classical physics, due its foundations in quantum entanglement. The contributions describe the role of nonlocality in the rapidly developing field of quantum information. Nonlocal quantum effects in various systems, from solid-state quantum devices to organic molecules in proteins, are discussed. The most surprising papers in this book challenge the concept of the nonlocality of Nature, and look for possible modifications, extensions, and new formulations—from retrocausality to novel types of multiple-world theories. These attempts have not yet been fully successful, but they provide hope for modifying quantum theory according to Einstein’s vision.

Keywords

quantum nonlocality --- quantum mechanics --- Stern–Gerlach experiment --- quantum measurement --- pre- and post-selected systems --- retro-causal channel --- channel capacity --- channel entropy --- axioms for quantum theory --- PR box --- nonlocal correlations --- classical limit --- retrocausality --- quantum correlations --- quantum bounds --- nonlocality --- tsallis entropy --- ion channels --- selectivity filter --- quantum mechanics --- non-linear Schrödinger model --- biological quantum decoherence --- non-locality --- parity measurements --- entanglement --- pigeonhole principle --- controlled-NOT --- semiconductor nanodevices --- quantum transport --- density-matrix formalism --- Wigner-function simulations --- nonlocal dissipation models --- steering --- entropic uncertainty relation --- general entropies --- Bell’s theorem --- Einstein–Podolsky–Rosen argument --- local hidden variables --- local realism --- no-signalling --- parallel lives --- local polytope --- quantum nonlocality --- communication complexity --- optimization --- KS Box --- PR Box --- Non-contextuality inequality --- discrete-variable states --- continuous-variable states --- quantum teleportation of unknown qubit --- hybrid entanglement --- collapse of the quantum state --- quantum nonlocality --- communication complexity --- quantum nonlocality --- Bell test --- device-independent --- p-value --- hypothesis testing --- nonsignaling --- EPR steering --- quantum correlation --- non-locality --- entanglement --- uncertainty relations --- nonlocality --- entanglement --- quantum

Stochastic Processes with Applications

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ISBN: 9783039217281 9783039217298 Year: Pages: 284 DOI: 10.3390/books978-3-03921-729-8 Language: English
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Science (General) --- Mathematics
Added to DOAB on : 2019-12-09 16:10:12
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Stochastic processes have wide relevance in mathematics both for theoretical aspects and for their numerous real-world applications in various domains. They represent a very active research field which is attracting the growing interest of scientists from a range of disciplines.This Special Issue aims to present a collection of current contributions concerning various topics related to stochastic processes and their applications. In particular, the focus here is on applications of stochastic processes as models of dynamic phenomena in research areas certain to be of interest, such as economics, statistical physics, queuing theory, biology, theoretical neurobiology, and reliability theory. Various contributions dealing with theoretical issues on stochastic processes are also included.

Keywords

fusion estimation --- sensor networks --- random parameter matrices --- multiplicative noises --- random delays --- realized volatility --- forecast combinations --- structural breaks --- arithmetic progressions --- first Chebyshev function --- products of primes --- regularly varying functions --- slowly varying functions --- mixed Gaussian process --- small deviations --- exact asymptotics --- loan interest rate regulation --- diffusion model --- first passage time (FPT) --- continuous-time Markov chains --- catastrophes --- bounds --- birth-death process --- rate of convergence --- double-ended queues --- time-non-homogeneous birth-death processes --- catastrophes --- repairs --- transient probabilities --- periodic intensity functions --- time-non-homogeneous jump-diffusion processes --- transition densities --- first-passage-time --- lognormal diffusion process --- exogenous factors --- growth curves --- maximum likelihood estimation --- asymptotic distribution --- first-passage time --- inverse first-passage problem --- diffusion --- mixture of Gaussian laws --- rate of convergence --- total variation distance --- Wasserstein distance --- weighted quadratic variation --- non-Markovian queue --- general bulk service --- multiple vacation --- breakdown and repair --- stand-by server --- re-service --- discrete time stochastic model --- first-passage time --- time between inspections --- host-parasite interaction --- nematode infection --- nonhomogeneous Poisson process --- seasonal environment --- Strang–Marchuk splitting approach --- Cohen and Grossberg neural networks --- random impulses --- mean square stability --- fractional differential-difference equations --- fractional queues --- fractional birth-death processes --- busy period --- two-dimensional signature --- multi-state network --- totally positive of order 2 --- stochastic order --- stochastic process --- reliability --- stochastic orders --- scale family of distributions --- proportional hazard rates --- differential entropy

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