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The limit of the resulting sequence of partial sums can then be found by means of extrapolation.
Therefore, several deeper generations of the sediment waves distinguished within the upper sedimentary sequence were compared with the available drilling results from boreholes in the shallow-water northern Caspian Sea shelf, by means of extrapolation and correlation of horizons along the available seismic profiles.
We show the boundedness of fractional integral operators by means of extrapolation.
By means of extrapolation method and Fourier transform estimate, we prove that the multiple singular integral operators are bounded on L p (ℝ n × ℝ m ) for the kernel functions: Ω ∈ L log L 2(Sn- 1× Sm- 1), h ∈ Δ ̃ α ( α ∈ ( 1, 2 ] ).
In other words, the initial L POD-based SMFEROE solutions are gained by means of projecting the initial L SMFE solutions into POD basis, while other ((N-L)) SMFEROE solutions are gained by means of extrapolation and iterating equations (38), (39), and (40).
All six of the 3-parameter mass action models have two advantages over the Hill model (which also has 3 parameters): 1) they provide a means of extrapolation to [ET] in the range of [ST], and 2) conditional on their truth, they yield more interesting parameter estimates.
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In addition, corrosion current densities were measured by means of Tafel extrapolation of potentiodynamic polarization curves.
These schemes have been designed specifically for unstructured meshes by means of the extrapolation of nodal values of intensity on the studied radiative direction.
The values of the Curie temperature were determined by means of the extrapolation of the linear parts of these dependences to the horizontal axis.
Since the derivatives of the density function (g(x)) in the quadrature formulas can be eliminated by means of the extrapolation method, the formulas can easily be applied to solving corresponding hyper-singular boundary integral equations.
By means of linear extrapolation method, the optical bandgap of BFTO nanofibers can be approximately estimated as 2.13 eV, which is comparable with that published in the previous literature.
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