closed-form Green function
Point mass dynamics on spherical hypersurfaces
... the form of the Green function, the solution to Poisson’s equation (or the Laplace-Beltrami equation) on S n which incorporates the Gauss condition, namely that the surface integral of the mass ...
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Quasi-Static Complex Image Method for a Current Point Source in Horizontally Stratified Multilayered Earth
... Green’s function of vector dipole or scalar monopole buried in horizontal multilayered earth model is compendiously ...Green’s function based on MP method is ...the closed form of Green’s ...
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A Model System for Dimensional Competition in Nanostructures: A Quantum Wire on a Surface
... in closed form in mixed representations, where momentum coordinates are used along the surface and configuration space coordinates are used for the transverse ...Green’s function with one transverse ...
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Levy Subordinator Model: A Two Parameter Model of Default Dependency
... The article is organized as follows. To start with, a brief review of subordinators is pre- sented in section 1. In section 2, a one-factor framework of default dependency is formulated starting with the de Finetti ...
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Analytic Approximations of Projectile Motion with Quadratic Air Resistance
... We study projectile motion with air resistance quadratic in speed. We consider three regimes of approximation: low-angle trajectory where the horizontal velocity, u, is assumed to be much larger than the vertical ...
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Some Explicit Formulae for the Hull and White Stochastic Volatility Model
... K K K . These prices are observed in the time period that goes from April 2nd, 2012, to July 25th, 2012 Note that the observations are daily observ - tions. Recall that in the study of financial data time series a ...
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A Note on the Beta Function And Some Properties of Its Partial Derivatives
... t x − 1 (1 − t) y − 1 dt (1) for Rex > 0 and Rey > 0. It is often applied in many fields such as mathematical equations and probability theory. Its definition was extended to complex numbers values of x and y by ...
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On the Impact of Antenna Correlation on the Pilot-Data Balance in Multiple Antenna Systems
... the function of the antenna spacing, mean angle of arrival and angular spread is modeled as by the well known spatial channel model, which is known to be accurate in non-line-of-sight environment with rich ...
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Optimal Mortgage Refinancing: A Closed Form Solution
... The actual behavior of mortgage holders often differs from the predictions of the optimal refinancing model. In the 1980s and 1990s — when mortgage interests rates generally fell — many borrowers failed to refinance ...
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Plant Form and Function
... Deep Green (more formally known as The Green Plant Phylogeny Research Coordi- nation Group), coordinated the efforts of laboratories using molecular, morphological, and anatomical traits to create a new ...
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Risk Management of Policyholder Behavior in Equity-Linked Life Insurance
... explicit closed-form expression for a model-free minimal surrender charge schedule that eliminates the surrender incentive for all account values throughout the whole term of the ...
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Closed form solution of an exponential kernel integral equation
... Having reached a formal solution, there is no general recipe for transforming this into a more amenable form and it is hard even to know if such a form exists. Symbolic algebra software may be helpful in ...
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Graphical Lasso and Thresholding: Equivalence and Closed-form Solutions
... simple closed-form solution that can be easily derived merely based on the thresholded sample covariance matrix, provided that its underlying graph has an acyclic ...This closed-form solution ...
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Closed form representations and properties of the generalised Wendland functions
... provide closed form repre- sentations for the generalised Wendland functions in the case when the smoothness parameter is an integer and where the parameter ℓ is any suitable value that ensures positive ...
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Closed form solutions for the generalized extreme value distribution
... information. Closed form expressions for them are attractive in theoretical work because they facilitate, or indeed en- able, further analytical analysis, such as comparative ...
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Structure of the Paramyxovirus Parainfluenza Virus 5 Nucleoprotein in Complex with an Amino-Terminal Peptide of the Phosphoprotein
... PIV5 N is comprised of an N-terminal core region (N-core) (residues 1 to 402) and a C-terminal disordered tail (N-tail) (residues 403 to 510) (Fig. 1A). The N-core region is flanked by N-arm and C-arm at its amino and ...
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Closed form inverse of local multi-trace operators
... a closed form of this inverse for a model problem with three subdo- mains in the special case where the coefficients are ...this closed form inverse are several remarkable identities which ...
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Exploring the application of closed form solutions in geotechnical problems
... the closed form solution. The closed-form solution involves an under- standing of the definitions of the system parameters and the product/s of their interactions, and the combination of this ...
91
II. DERIVATION OF THE CLOSED FORM SOLUTION FOR THE RLS ESTIMATION
... which are in the physiologically expected range. However, in their study, iterative procedures such as steepest descent algorithm were used to find minimum of the RLS cost function and a closed form ...
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Closed Form Solution for Heston PDE By Geometrical Transformations
... One presents and discusses an alternative solution writeable in closed form of the Heston’s PDE, for which the solution is known in literature, up to an inverse Fourier transform. Since the algorithm to ...
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