Green’s function

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  • Public authorities are major consumers in Europe, spending some 16 % of the EU’s gross domestic product (which is a sum equivalent to half the GDP of Germany). By using their purchasing power to opt for goods and services that also respect the environment, they can make an important contribution towards sustainable development.

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  • In this volume I present some examples of napla calculus, vector potentials, Green’s identities, curvilinear coordinates , Electromagnetism and various other types, cf. also Calculus 2b, Functions of Several Variables. Since my aim also has been to demonstrate some solution strategy I have as far as possible structured the examples according to the following form A Awareness, i.e. a short description of what is the problem. D Decision, i.e. a reflection over what should be done with the problem. I Implementation, i.e. where all the calculations are made. C Control, i.e.

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  • Traditional Supply Chain Management (SCM) aims at movement of goods and services from one end of this chain to the other through different stages so as to improve the efficiency, productivity and profitability of the entire process. As SCM spans across the economic functions of the entire value chain of a product or service, it is vital for a company to join in, form, or coordinate its business related supply chains, forming various kinds of business relationships.

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  • This book is a result of contributions of experts from international scientific community working in different aspects of nanocomposite science and applications and reports on the state of the art research and development findings on nanocomposites through original and innovative research studies.

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  • Therefore, the brain hormonal milieu in which exogenous hormones are introduced is markedly different in menopause from that in menstruating women. In the ovariectomized animals, however, the hormonal changes in the animals are abrupt in contrast to the gradual hormonal changes found in the menopausal transition. It might be the concerted lack of estradiol and progesterone that facilitate the seizure susceptibility. Both estradiol and progesterone affect γ-amino butyric acid (GABA) ergic function (Scharfman et al, 2005; Nakumura et al, 2005; Kokate et al, 1994).

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  • The hot air produced by the projection lamphouses must always be extracted to the outside of the building. This is not new and you have to be very careful regarding this exhaust air. The correct exhaust of the hot air ensures a longer service life of your equipment as well as better ageing characteristics of your lamps and an optimized functional capability of your installation. You have to correctly calibrate the flow of the exhaust air in accordance with the lamp power (or the max. lamp power allowed for the lamphouse - see...

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  • In this chapter, a solution of EM radiation from a prolate spheroidal antenna, excited by a voltage across an infinitesimally narrow gap somewhere around the antenna center, is obtained. Three specific cases are considered: an uncoated antenna, a dielectric-coated antenna, and an antenna enclosed in a confocal radome. The method used is that of separating the scalar wave equation in prolate spheroidal coordinates and then representing the solution in terms of prolate spheroidal wave functions.

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  • Because of their apparent “simplicity” simple atoms present a great challenge and temptation to experts in various branches of physics from fundamental problems of particle physics to astrophysics, applied physics and metrology. This book is based on the presentations at the International Conference on Precision Physics of Simple Atomic Systems (PSAS 2002) whose primary target was to provide an effective exchange between physicists from different fields.

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  • Spheroidal wave functions are special functions in mathematical physics which have found many important and practical applications in science and engineering where the prolate or the oblate spheroidal coordinate system is used. In the evaluation of electromagnetic (EM) fields in spheroidal structures, spheroidal wave functions are frequently encountered, especially when boundary value problems in spheroidal structures are solved using full-wave analysis.

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  • We verify an old conjecture of G. P´lya and G. Szeg˝ saying that the o o regular n-gon minimizes the logarithmic capacity among all n-gons with a fixed area. 1. Introduction The logarithmic capacity cap E of a compact set E in R2 , which we identify with the complex plane C, is defined by (1.1) − log cap E = lim (g(z, ∞) − log |z|), z→∞ where g(z, ∞) denotes the Green function of a connected component Ω(E) ∞ of C \ E having singularity at z = ∞; see [4, Ch. 7], [7, §11.1]. By an n-gon with...

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  • Spheroidal Coordinates and Wave Functions 2.1 SPHEROIDAL COORDINATE SYSTEMS Prolate and oblate spheroidal coordinate systems are formed by rotating the two-dimensional elliptic coordinate system, consisting of confocal ellipses and hyperbolas, about the major and minor axes of the ellipses, respectively [l] (shown in Figs. 2.1 and 2.2, where d is the interfocal distance).

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  • Dyadic Green’s Functions in Spheroidal Systems 3.1 DYADIC GREEN’S FUNCTIONS To analyze the electromagnetic radiation from an arbitrary current distribution located in a layered inhomogeneous medium, the dyadic Green’s function (DGF) technique is usually adopted. If the geometry involved in the radiation problem is spheroidal, the representation of dyadic Green’s functions under the spheroidal coordinates system should be most convenient.

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Solutions and Green’s Functions for Boundary Value Problems of Second-Order Four-Point Functional Difference Equations

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Green’s Function for Discrete Second-Order Problems with Nonlocal Boundary Conditions ˇ Svetlana Roman and Arturas Stikonas ¯

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  • This manuscript is based on lectures given by Marshall Baker for a class on Mathematical Methods in Physics at the University of Washington in 1988. The subject of the lectures was Green’s function techniques in Physics. All the members of the class had completed the equivalent of the first three and a half years of the undergraduate physics program, although some had significantly more background. The class was a preparation for graduate study in physics.

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  • The feedback from oil prices to economic activity is captured by a reduced-form production function that allows us to separately specify shocks to the output gap (transitory shocks to output), shocks to potential output (permanent shocks to the level of output), and shocks to potential output growth (permanent shocks to the growth rate of output). The richness of this specification helps us to model the complicated interactions of oil price movements and GDP, where both trend and gap decline if oil prices increase.

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  • The geometries and spin densities of green tea catechin radicals are calculated using unrestricted B3LYP hydrid density functional calculations. The radicals which have the smallest value of Maximum Spin Density (MSD) are referred to the most stable radical species deriving from the absolute minimum energy of investigated compounds. In this study, we have calculated these values in gas phase and water solution.

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  • To effectively perform their respective functions, all stakeholders, in particu- lar, governments, need access to accurate and up-to-date information on opportunities, actual transfers, and the technical and economic impact of large investments. In many cases, lack of such information makes it difficult to identify and utilize opportunities, ensure a level playing field, and enforce regulation and contracts properly.

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  • It is estimated that transitioning to a low-carbon and climate resilient economy and more broadly „greening growth‟ over the next 20 years will require significant investment and consequently private sources of capital on a much larger scale than previously - particularly given the current state of government finances. There is already international agreement on the need to increase financing for climate mitigation and adaptation – with international financing commitments already having been made.

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  • Let T be an in nite regular tree and n a positive integer. Fix two vertices x and y in T . By a walk or a path between x and y we mean any nite sequence of edges that connect x and y in which backtrackings are allowed. There are many formulas in the literature which give the number of walks of length n between x and y, such as recurrence formulas, generating functions, Green functions, and others. Here we consider walks of length n between x and y which at a certain time follow a number of predetermined steps....

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