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This torsion problem is, however, an approximation to the associated torsion problem in the bending of plates and results in unrealistic vertical deflection of the plate.
In our case, because we have used the PSFs instead of the IKs to build a deformable kernel--with which local inner products are done with the image--we have already obtained an approximation to the associated transposed operator of the original SV filtering.
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The method is an extension of the optimal grid approach for elliptic problems, based on optimal rational approximation of the associated Neumann-to-Dirichlet map in Fourier space.
The first step is to obtain an approximation of the associated codimension-1 problem formulated by Ambrosio and Soner, where the squared distance from the initial curve is used as initial condition.
In [12], the sharp maximal function M A ♯ f associated with a 'generalized approximation to the identity' { A t, t > 0 } is defined by M A ♯ f ( x ) = sup x ∈ B 1 | B | ∫ B | f ( y ) − A t B f ( y ) | d y, (2.3).
Nevertheless, in general, changes in transcriptional abundance are good indicators of the relevance of an encoded function and good approximation that the associated functions may be occurring of at the time of measurement [ 13, 15].
These asymptotically small perturbations are precisely those that result from modifying the initial-data by using formal approximations to the spectrum of the associated spectral problem; such modified data has always been a standard part of the analysis of zero-dispersion limits of integrable systems.
The big approximation is your approximation to the problem you want to solve.
We also examined the root mean square error of approximation (RMSEA) and the associated confidence interval and p-value.
Caglar et al. [7] used B-spline functions to develop a numerical method for computing approximations to the solution of nonlinear SBVP associated with physiological science.
Although this latter result depends critically on the compliance assumption, extension via adjoint approximations to the non-compliant case is possible; we discuss this further in Section 7. We now consider the discrete equations associated with the Galerkin approximation (23).
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