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This is demonstrated by using the true object boundaries instead which is possible with our simulated target structures.
Spatio-temporal consistency is also ensured at moving objects' holes by using the true texture from temporal frames and inpainting.
Nonetheless, by using the true material Young׳s modulus in the DEM CFD simulations and sufficiently large static bed height, a system-size-independent defluidization measurement is achieved that compares well with experimental data from a much larger system.
Because the UKF is able to obtain the posterior mean and covariance accurately by using the second-order Taylor series expansion through the sampled sigma points that are propagated by using the true nonlinear system, its performance can be better than that of the extended Kalman filter (EKF), which uses the linearized state transition matrix to predict the covariance.
To make sure that the new incoming contacts which are the main excitation source are properly simulated, the necessary deformation of the gears is determined by using the true geometry and positions of the gears for every time step of the dynamic calculation.
According to (Yoo and Choi, 2010), the multiplicative update rules can be derived by using the true gradient on Stiefel manifold: (6) H i, j → H i, j × [ W T X ] i, j [ H X T W H ] i, j, where the update rule of W follows Equation (3).
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The controllers are also validated by simulation using the true plant transfer functions.
The false discovery rate (FDR) was calculated by simultaneously using the true and the reverse databases generated with Phenyx, as previously described.
The downward bias at low depth (Fig. 3) could be due to poorer estimation of allele frequencies (due to a lower number of observations for each SNP)—this was supported by a further simulation using the true value of the allele frequency in the calculations, which showed about a 10 or 50-fold reduction in bias for parent-offspring and full-sibs, respectively (Additional file 4: Figure S2).
To simulate the effects of the dispersion time constant and partition coefficient, CBF and ATB values were then calculated by assuming p = 0.8 ml/g, using the true input function as well as ±5-s time-shifted input functions and the TACs generated by varying the dispersion time constant or partition coefficient.
All tests have been performed by using the large static dynamic true triaxial test machine.
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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