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Using this scheme, a Gaussian filter can be approximated perfectly (MSE<2.5×10−8) by using two recursive filters, that is K=2.
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In this case the complex pdf of Figure 4 is approximated almost perfectly by that of Figure 6.
Transparent boundary conditions are approximated by the perfectly matched layer method (PML).
An elasto-plastic empirical constitutive equation is derived for the solid grains, while the liquid is approximated as a perfectly plastic material with a very low yield stress.
An experimental result using an aqueous solution containing E. coli and formaldehyde showed that the sterilization of E. coli is dependent on the circulation rate of the solution but the photocatalytic decomposition of formaldehyde is independent of it and can be approximated by a perfectly-mixed reactor model.
Supposing the neural network is approximating the output perfectly, we would have (3).
Even the entry of the wordless women's chorus at the end of Neptune, often rather approximate, was perfectly judged.
Although approximated in many systems, proportionality can never be perfectly realized.
It's perfectly abstract, approximating a person's aura rather than a specific component".
The imaginary part of the index of refraction is varied as shown in Figs 1 and 2. The metal waveguide layers were approximated as perfect conductors and the outgoing boundary conditions are imposed using a perfectly matched layer.
In particular, glucose uptake is only approximated by Michaelis-Menten kinetics; K M is not known exactly; and the error distribution may be neither Gaussian nor perfectly homoscedastic.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com