As a result, the root-mean-square radial trajectory error was 3.62 μm under radius 1.0 mm and 1 Hz circular motion condition.
We term the square root of this quantity 'standard deviation of atomic positions' (SD) in NMR models, AKA 'root mean-square radial displacement'.
The comparison between numerical and experimental data includes the mean and the root mean square (RMS) radial profiles for velocity, mixture fraction, temperature and mole fractions of major species at different downstream locations.
The results that compare the two models were discussed in terms of the potential energy, hydrogen bond number, mean square displacement, diffusivity, radial distribution function and number density profile for the two models.
With an increasing mass flow rate of secondary air, the peaks of the root mean square (RMS) axial fluctuating velocities, radial mean velocities, RMS radial fluctuating velocities, and tangential velocities all increased, while the recirculation increased slightly.
Ecosynth point clouds were georeferenced with a precision of 1.2 4.1 m horizontal radial root mean square error (RMSE) and 0.4 1.2 m vertical RMSE.
To describe the free-volume shape and the polymer chain flexibility and stiffness, MD simulation analysis in terms of radial distribution function and mean square displacement was also conducted.
The root mean square (rms) of the differences between the computed radial current and the reference current on a profile [±30°] across the geographic North Pole is 28.9 nA/m28.9
Extensive comparisons between the predictions and the measurements are made, which involve radial profiles of mean and rms (root mean square), conditional mean, scatter plots of scalars and conditional PDF distribution etc.
Radial profiles of mean temperature and root mean square (rms) temperature fluctuations have been acquired and temperature probability density functions (pdfs) have been constructed for streamwise distances in the range 4.2 ≤ xd ≤ 66.7.
