GENERAL FORMULATION AND THE PARAXIAL APPROXIMATION
Using paraxial approximation to describe the optical setup of a typical EARLINET lidar system
... the paraxial ap- proximation down to the detector, revealing all the possible constraints of a lidar setup, since DFO depends on the over- all optical path of the detected backscattered ...geometrical ...
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Formulation of the general problem
... Reviewing the continuously growth of the importance of Facebook inside the marketing mixture and also the success of companies like Adidas or other lead to the question: “In the age of[r] ...
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Gaussian Beam Modeling of SAR Enhancement in Paraxial and Non-Paraxial Regions of Biological Tissues
... ∂z + ∂ 2 ψ ∂z 2 = 0 (3) where k = ω √ µε(1 − j ωε σ ) 1/2 is a complex propagation constant, with σ the conductivity, ε = ε 0 ε r the permittivity and µ = µ 0 the permeability of the medium, and ω the angular frequency ...
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A General Approximation for the Dynamics of Quantitative Traits
... Katarína Bod’ová, 1 Gaˇ sper Tkaˇ cik, and Nicholas H. Barton Institute of Science and Technology Austria (IST Austria), Klosterneuburg A-3400, Austria ABSTRACT Selection, mutation, and random drift affect the dynamics ...
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Intrinsic Diophantine approximation on manifolds : General theory
... Diophantine approximation addresses questions regarding how well points x ∈ R d can be approximated by rational points, where the quality kx − rk of a rational approximation r ∈ Q d is compared with the ...
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Dynamical and Hamiltonian formulation of General Relativity
... more general discussion of the configuration space in GR, which, roughly speak- ing, is the quotient Riem(Σ)/Diff(Σ), often referred to as Wheeler’s superspace ...
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A general algorithm for pade approximation to formal power series
... This algorithm was extended to generalized rational interpolation [7] and is applied to the Pade-type approximants for the series of functions in [l].. A question [r] ...
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Distance Approximation in Bounded-Degree and General Sparse Graphs
... the approximation task would give a multiplicative approximation factor that depends on the maximum degree d (in addition to the additive error ...factor approximation that does not depend on d, we ...
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Numerical approximation of general Lipschitz BSDEs with branching processes
... In the case where the driver also depends on the Z component of the BSDE, a similar truncation has to be performed on the gradient itself. It can however not be done by simply projecting Z on a suitable compact set at ...
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Two general methods for the numerical approximation of multidimensional Cauchy
... §8.1.3.2]. The error analysis remains unchanged. However, in practice we encounter the following problem: in view of the parametrization, a Jacobian of the transformation enters the integral. So in order to calculate the ...
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The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation
... of general Jacobi polynomials has the advantage of obtaining the solutions in terms of the Jacobi parameters α and β ...developing approximation results for each particular pair of indices, it would be very ...
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Counterfactuals in the initial value formulation of general relativity
... It is important to underline the fact that the difficulties we have discussed in this paper do not only concern the philosophical debate about counterfactuals, but also constitute a crucial concrete problem for ...
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A General State-Space Formulation for Online Scheduling
... basic formulation 209 The new state-space model relies on a comprehensive update step of the task-states, in between the online iterations, to promptly reflect the delays and breakdowns in the ...
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Formulation of general relative permeability correlation of field A
... Relative permeability data are essential for almost all fluid flow calculations in reservoirs and are utilized extensively in many areas of petroleum engineering. Relative permeability measurements are conducted on core ...
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First–Passage Time Moment Approximation for the General Diffusion Process to a General Moving Barrier
... Abstract: The problem of determining the first-passage times to a moving barrier for diffusion and other Markov processes arises in biological modeling, population growth, statistics, engineering, etc. Since the ...
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General viscosity approximation methods for quasi nonexpansive mappings with applications
... Abstract The purpose of this paper is to introduce and study the general viscosity approximation methods for quasi-nonexpansive mappings in the setting of infinite-dimensional Hilbert spaces. Under suitable ...
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A General Approximation-Optimization Approach to Large Margin Estimation of HMMs
... a general Approximation-optiMization (AM) approach for large margin estimation (LME) of Gaussian mixture HMMs in speech ...a general approach which can be easily applied for discriminative training ...
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Neural Networks A General Framework for Non Linear Function Approximation
... the approximation that rely neither on large scale sample size nor on artificial data-generating assumptions, Section 6 shows how bootstrapping pairs estimation provides an unconditional bootstrap distribution and ...
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Geometric fluid approximation for general continuous-time Markov chains
... a general strategy to obtain a fluid approximation for any ...a general CTMC in a Euclidean ...an approximation related to the GFA is consistent with the standard fluid ...
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An Approximation of European Option Prices under General Diffusion Processes
... an approximation of European option prices under arbitrary diffu- sion processes of the spot ...the approximation, except when the volatility process exhibits high ...
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