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The researchers' new software can provide a very good approximation of the same calculation in a matter of seconds.
Since the lower approximation of a cluster is a subset of its upper approximation, this also automatically assigns the sample to the upper approximation of the same cluster.
As in Section 'Canopy depth', the delta method can be used to produce a more accurate approximation of the same form.
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We show that, in spite of this fact, it produces approximations of the same accuracy.
Frequently used mass transfer models such as Weber-Morris, Boyd, and Urano were reviewed, revealing that these models are different approximations of the same parent model.
It is also shown with numerical examples that a careful selection of the approximation space to fit individual PDE and initial and boundary conditions often provides more accurate results than the DG methods based on the polynomial approximation spaces of the same order of accuracy.
To calculate correlations between segments q i and d i, we resample their spline approximations to the same predetermined number of values for the two segments.
The SBL approach leads to a Gaussian posterior approximation Q(a ) of the same form as in EP, with the difference that in the site approximations t ˜ j, the b j parameter is set to zero and eliminated.
The corresponding arguments of approximation are the same as from Proposition 34 to Theorem 4 (presented in Sect. 5.1).
However, for laterally or three-dimensionally heterogeneous Earth models the validation of the use of Earth-flattening approximation should be eventually checked by comparing the solutions with those computed by numerical methods such as the FDTD without the approximation for each of the same models.
In the latter, the numerical solution achieves the same high-order accuracy as a Stokes eigenfunction expansion and is much more accurate than the solution obtained with a classical third order finite element approximation using the same number of degrees of freedom.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com