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Robust estimation of the diffusion coefficients, however, requires introducing certain levels of stochastic variations during the training process.
Diffusion spectrum MRI (DSI) provides model-free estimation of the diffusion ensemble average propagator (EAP) and orientation distribution function (ODF) but requires the diffusion data to be acquired on a Cartesian q-space grid.
Combined together, forward-inverse ANNs enable computationally inexperienced users to obtain accurate and fast estimation of the diffusion coefficients of cartilage zones.
An estimation of the diffusion length for this system shows that these AIFs cannot be a metastable phase, as the high temperature used for annealing provides more than enough kinetic driving force for equilibrium chemical distributions to form within the nanocrystalline grain structure (see Supplementary Note 1 for detailed calculations).
In this paper a procedure for the estimation of the diffusion coefficient for a sorption process from the measurements of the adsorbed amount is proposed.
The transport equation for the mesoscopic component allows to correct the estimation of the diffusion equation, and then to obtain the solution of the linear radiative transfer equation.
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The difference in these powers, 0.5, agreed with a theoretical estimation of the diffusion-controlled current, the diffusion coefficient for which was given by the Stokes Einstein equation.
Proof of Theorem 5 Notice that the uniform convergence of the proposed estimation for the diffusion coefficient is determined by that of the estimation of the density function.
This high sensitivity can lead to a much better estimation of the micropore diffusion coefficient in the presence of macropore diffusion than the estimation obtained with the gas pressure frequency response.
Since a local linear method may produce negative values for the diffusion function, [14] proposed a new nonparametric estimation procedure of the diffusion function based on re-weighting the Nadaraya Watson estimator.
Estimation of the hole diffusion lengths of pristine and Mo-doped BiVO4using the Gartner modelshowed an increase in hole diffusion lengths from 47 nm to 183 nm after Mo doping.
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