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The diffusion length of Al is deduced according to spectrum, and compared with that calculated by diffusion coefficient function.
A comparison between the weighted gradient and FAS multigrid is given for large jump size in the coefficient function.
The correlation between physiological parameters and the three environmental factors TAW (total available soil water), Sun (sunshine duration), and Temperature (mean daily temperature) on the day of measurement or sampling, respectively, was performed using Pearson's product-moment correlation coefficient (function cor, method pearson).
The simplest quasi-linear equation is ut + a(f u))x = 0, where a is a given discontinuous coefficient function and f is a smooth function.
The final form of this formula contains a coefficient function of stoichiometry, which was derived by matching the theoretical and numerical predictions.
It was found that different settings of the concentration-dependent water diffusion coefficient function could produce similar radial expansion curves but with different internal concentration profiles.
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The functional principal component scores from coefficient functions in ODE model were used as significant features to define these patterns in the dynamic regulation process.
Since dimensions of the coefficient functions of the ODE are extremely high, the functional principal component analysis (FPCA) is used to reduce the dimensions of the coefficient functions of the ODE.
Switched nonlinearities, switched control coefficient functions, and external disturbances are assumed to be unknown.
Regression relations are allowed to vary with time through smooth varying coefficient functions.
A local linear two stage least squared estimation is developed to estimate coefficient functions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com