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The moments in the moment equations are approximated over a simplified domain (Ω0) that is a reasonable approximation of the original domain that are then corrected for the deviation of the shape of Ω0 from Ω via shape correction factors.
However, there are several iterative schemes in the literature for which the fixed points of operators have been approximated over the years by various authors.
With the modified hardware (more possible values for Rrel), the physical relation factor can be approximated over the whole transmission range.
In the case where is continuous on, it follows from the Stone-Weierstrass theorem that can be approximated over an arbitrarily large compact set.
Furthermore, we assume that, for a given, the th component of the vector function can be approximated over a compact set by a linear in the parameters neural network up to a desired accuracy so that for, there exists such that,, and (4.9).
The abdominal flap was then approximated over the abdominal tissue surface and temporarily secured at the incision line to prevent movement while the low transverse incision was closed, ensuring minimal pressure or disruption of the flap during the remainder of the procedure in order to prevent smearing of the adhesive across the entire tissue surface.
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The language of the bill, which passed in a 120-to-25 vote in the Assembly, was very careful, saying it would "create a simple structure for approximating over-the-counter availability".
Due to the domain (D = D_{x} times D_{z}) being a constrained mixture space the integral in (5) cannot be calculated explicitly and must be approximated empirically over a fine grid of points over the domain (D).
Equation (12) can be solved numerically by FEM in which (12) is locally approximated (posed over small partitions called elements of the entire ROI) and a global solution is built by combining the local solutions over these elements [9].
Statistical averaging was approximated by averaging over a large number of data segments.
The integral in Equation 8 is then approximated by summing over all bins.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com