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In Fig. 6 we compare approximations of the stationary probability density of the output signal Y for varying coupling parameter C. We observe the change from unimodal densities (for (C=68,135)) to multi-modal densities (C=270) and to the peak-like structure (C=675).
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Figures 5 and 6 show the D-PNN and ANN compare approximation of some benchmarks - growing non-linear functions.
Open image in new window Figure 4 Compare approximation of the 3-variable linear function.
Open image in new window Figure 5 Compare approximation f(x 1,x 2,x 3 ) = x 1 2 +x 2 2 +x 3 2. Open image in new window Figure 6 Compare approximation f(x 1,x 2,x 3 ) = x 1 +x 2 2 +x 3 3. Figure 7a-c show D-PNN models of different final training root mean square errors (RMSE).
We compare algebraic approximations of the effective elasticity tensor components with these calculated by using of two different FEM strategies.
We compare different approximations to the point-charge Green function for the radial electric monopole field excited by an ultrarelativistic particle propagating through a resistive pipe, and study the applicability of these approximations for calculating the field of a bunch with finite length.
To compare these approximations, 10,000 realizations from the AR(12) process above are used.
In Figure 2, it is possible to compare polynomial approximations X m q + 1 for q = 15, m = 1, 2, 11 and the corresponding differences from the exact solution x°.
At the same time, it can serve as a software platform to evaluate and compare different approximation techniques.
We will compare the approximation properties of CTGA with TGA.
For this purpose, we compare the approximation of G given by (6) with the 'exact' formula (3).
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com