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Books on the topic 'Dispersion functions'

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Author: Grafiati

Published: 10 December 2022

Last updated: 28 January 2023

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1

LeNeveu, D. M. Radionuclide response functions for the convection-dispersion equation from a point source along the axis of nested cylindrical media. Pinawa, MB: Whiteshell Laboratories, 1996.

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2

Wang, Yinkun. Energy dispersive x-ray diffraction system: A response function for the CZT detector and an analysis of noise a low momentum transfer arguments. Sudbury, Ont: Laurentian University, School of Graduate, 2006.

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3

F, Roach G., and Dassios G, eds. Mathematical methods in scattering theory and biomedical technology: Proceedings of a workshop dedicated to Professor Gary Roach. Harlow: Longman, 1998.

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4

Fried, Burton D., and Samuel D. Conte. Plasma Dispersion Function: The Hilbert Transform of the Gaussian. Elsevier Science & Technology Books, 2015.

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5

Oktay, Baysal, and United States. National Aeronautics and Space Administration., eds. Investigation of dispersion-relation-preserving scheme and spectral analysis methods for acoustic waves. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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6

Oktay, Baysal, and United States. National Aeronautics and Space Administration., eds. Investigation of dispersion-relation-preserving scheme and spectral analysis methods for acoustic waves. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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7

United States. National Aeronautics and Space Administration., ed. Asymptotic boundary conditions for dissipative waves: General theory. [Washington, D.C.]: NASA, 1990.

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8

Wright, A. G. Statistical processes. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199565092.003.0004.

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Two statistical processes affect performance: one concerns photon detection at the photocathode (binomial); and the other, gain at each dynode (Poisson). The combined statistical processes dictate resolution, both timing and pulse height. They are best examined using generating functions that are both elegant and capable of providing answers more efficiently than traditional approaches. The requirement for steady and pulsed light sources is an important one for testing and setting up procedures. The use of moments to test the quality of performance is illustrated for a steady DC light source. Amplification provided by a dynode stack is a cascade process, leading to dispersion in gain, and is also ideally handled with generating functions. Theory is developed for essentially continuous pulse height distributions, such as those produced by a multichannel analyser. Arrival time statistics for scintillators are investigated analytically and by Monte Carlo simulation. Treatment is given for dead time and scaling.

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9

Georgiev, Vladimir Simeonov, Raffaele Scandone, and Alessandro Michelangeli. Qualitative Properties of Dispersive PDEs. Springer, 2022.

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10

1922-, Charalambous George, and Doxastakis George, eds. Food emulsifiers: Chemistry, technology, functional properties and applications. Amsterdam: Elsevier, 1989.

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11

aux, Eric James Gre. "To the elect exiles of the dispersion-- from Babylon": The function of the Old Testament in 1 Peter. 2003.

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12

Horing, Norman J. Morgenstern. Graphene. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198791942.003.0012.

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Chapter 12 introduces Graphene, which is a two-dimensional “Dirac-like” material in the sense that its energy spectrum resembles that of a relativistic electron/positron (hole) described by the Dirac equation (having zero mass in this case). Its device-friendly properties of high electron mobility and excellent sensitivity as a sensor have attracted a huge world-wide research effort since its discovery about ten years ago. Here, the associated retarded Graphene Green’s function is treated and the dynamic, non-local dielectric function is discussed in the degenerate limit. The effects of a quantizing magnetic field on the Green’s function of a Graphene sheet and on its energy spectrum are derived in detail: Also the magnetic-field Green’s function and energy spectrum of a Graphene sheet with a quantum dot (modelled by a 2D Dirac delta-function potential) are thoroughly examined. Furthermore, Chapter 12 similarly addresses the problem of a Graphene anti-dot lattice in a magnetic field, discussing the Green’s function for propagation along the lattice axis, with a formulation of the associated eigen-energy dispersion relation. Finally, magnetic Landau quantization effects on the statistical thermodynamics of Graphene, including its Free Energy and magnetic moment, are also treated in Chapter 12 and are seen to exhibit magnetic oscillatory features.

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13

Back, Kerry E. Heterogeneous Beliefs. Oxford University Press, 2017. http://dx.doi.org/10.1093/acprof:oso/9780190241148.003.0021.

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There is a representative investor in a complete single‐period market if all investors have log utility or if all investors have CARA utility, even if investors have different beliefs. This extends to dynamic markets for log utility but not for CARA utility. With CARA and other LRT utility, the concept of a representative investor can be extended to include a random discounting factor that is either a supermartingale or a submartingale. If there are short sales constraints, then assets may be overpriced relative to average beliefs, because pessimistic investors are constrained from trading on their beliefs. The overpricing is an increasing function of the dispersion of beliefs. In a dynamic market with short sales constraints, prices can exceed even the values of optimistic investors (a speculative bubble).

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14

Zaccaro, Stephen J., Laura S. Fletcher, and Leslie A. DeChurch. Creativity and Innovation in Multiteam Systems. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780190222093.003.0009.

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In this chapter, we explore several dynamics associated with multiteam system (MTS) creativity and innovation. To develop successful creative solutions to large-scale problems, information and ideas often need to be shared not only with other individuals in a team but also among members from other teams. Within this MTS structure, diversity can also have an important influence on the resulting innovation. It can take many forms, including interorganizational differences; differences in work interdependence, goals, and goal structures; and various characteristics of the MTS component teams such as functional diversity, geographic dispersion, and national culture. Although MTSs often have traits that can lead to high creativity and innovation, their structures can also give rise to strong team differentiation, which can inhibit team creativity and innovation.

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15

Tülümen, Erol, and Martin Borggrefe. Monogenic and oligogenic cardiovascular diseases: genetics of arrhythmias—short QT syndrome. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780198784906.003.0150.

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Short QT syndrome (SQTS) is a very rare, sporadic or autosomal dominant inherited channelopathy characterized by abnormally short QT intervals on the electrocardiogram and increased propensity to atrial and ventricular tachyarrhythmias and/or sudden cardiac death. Since its recognition as a distinct clinical entity in 2000, significant progress has been made in defining the clinical, molecular, and genetic basis of SQTS. To date, several causative gain-of-function mutations in potassium channel genes and loss-of-function mutations in calcium channel genes have been identified. The physiological consequence of these mutations is an accelerated repolarization, thus abbreviated action potentials and shortened QT interval with an increased inhomogeneity and dispersion of repolarization. Regarding other rare monogenetic arrhythmias, a genetic basis of atrial fibrillation was considered very unlikely until very recently. However, in the last decade the heritability of atrial fibrillation in the general population has been well described in several epidemiological studies. So far, more than 30 genes have been implicated in atrial fibrillation through candidate gene approach studies, and 14 loci were found to be associated with atrial fibrillation through genome-wide association studies. This genetic heterogeneity and the low prevalence of mutations in any single gene restrict the clinical utility of genetic screening in atrial fibrillation.

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16

Milonni, Peter W. An Introduction to Quantum Optics and Quantum Fluctuations. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780199215614.001.0001.

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This book is an introduction to quantum optics for students who have studied electromagnetism and quantum mechanics at an advanced undergraduate or graduate level. It provides detailed expositions of theory with emphasis on general physical principles. Foundational topics in classical and quantum electrodynamics, including the semiclassical theory of atom-field interactions, the quantization of the electromagnetic field in dispersive and dissipative media, uncertainty relations, and spontaneous emission, are addressed in the first half of the book. The second half begins with a chapter on the Jaynes-Cummings model, dressed states, and some distinctly quantum-mechanical features of atom-field interactions, and includes discussion of entanglement, the no-cloning theorem, von Neumann’s proof concerning hidden variable theories, Bell’s theorem, and tests of Bell inequalities. The last two chapters focus on quantum fluctuations and fluctuation-dissipation relations, beginning with Brownian motion, the Fokker-Planck equation, and classical and quantum Langevin equations. Detailed calculations are presented for the laser linewidth, spontaneous emission noise, photon statistics of linear amplifiers and attenuators, and other phenomena. Van der Waals interactions, Casimir forces, the Lifshitz theory of molecular forces between macroscopic media, and the many-body theory of such forces based on dyadic Green functions are analyzed from the perspective of Langevin noise, vacuum field fluctuations, and zero-point energy. There are numerous historical sidelights throughout the book, and approximately seventy exercises.

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17

Eriksson, Olle, Anders Bergman, Lars Bergqvist, and Johan Hellsvik. Atomistic Spin Dynamics. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198788669.001.0001.

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The purpose of this book is to provide a theoretical foundation and an understanding of atomistic spin-dynamics, and to give examples of where the atomistic Landau-Lifshitz-Gilbert equation can and should be used. The contents involve a description of density functional theory both from a fundamental viewpoint as well as a practical one, with several examples of how this theory can be used for the evaluation of ground state properties like spin and orbital moments, magnetic form-factors, magnetic anisotropy, Heisenberg exchange parameters, and the Gilbert damping parameter. This book also outlines how interatomic exchange interactions are relevant for the effective field used in the temporal evolution of atomistic spins. The equation of motion for atomistic spin-dynamics is derived starting from the quantum mechanical equation of motion of the spin-operator. It is shown that this lead to the atomistic Landau-Lifshitz-Gilbert equation, provided a Born-Oppenheimer-like approximation is made, where the motion of atomic spins is considered slower than that of the electrons. It is also described how finite temperature effects may enter the theory of atomistic spin-dynamics, via Langevin dynamics. Details of the practical implementation of the resulting stochastic differential equation are provided, and several examples illustrating the accuracy and importance of this method are given. Examples are given of how atomistic spin-dynamics reproduce experimental data of magnon dispersion of bulk and thin-film systems, the damping parameter, the formation of skyrmionic states, all-thermal switching motion, and ultrafast magnetization measurements.

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