Relative root-mean-square

This informative result shows that the mean square energy fluctuations are proportional to the size of the system and to the rate at which energy changes with temperature. The relative root mean square dispersion of the energy... 

Using this expression for SCeq together with Eq. (26a) permits us to write a simple expression for the expected relative root mean square fluctuation in equilibrium complex number due to stochastic effects in binding ... 

Fig. 7. Relative root mean square fluctuation in the equilibrium number of complexes on a cell. The plot shows the prediction of the probabilistic model for homogenous receptor/ligand binding. Note that fluctuations become more significant as the number of receptors or the ratio of L to KD decreases.

We are interested in using the BACK equation for hydrogen mixtures. Therefore we have determined equation constants for hydrogen, and these are included in Table I. PVT data (7) at temperatures of 111-2778 K and pressures up to 1020 atm are used in this determination. Neither vapor-pressure nor critical-point data are used to avoid complications owing to quantum effects. It is found necessary to adopt an unusual value of the constant C of 0.241. With this C value the calculated pressure shows a relative root-mean-squared deviation of 0.5% and a relative bias of less than 0.1%. 

The AcoustoSizer software assumes that the size follows a lognormal distribution and adjusts the median and spread of the distribution, along with the zeta potential, to give the best fit to the mobility spectrum, by minimizing the relative root mean square error (superscript th is the theoretical) ... 

In previous work on Van der Waals clusters, it was established that the behaviour of a parameter characterizing the relative root mean square bond length fluctuations,... 

Fig. 4. Averaged relative root mean square bond length fluctuations for the Ar-Ar and Ar-SF distances for certain SF -(Ax) clusters. The shaded band identifies the 8 values chosen to define the Lindemann criterion for melting.

Practice Problem A Determine the relative root-mean-square speeds of O2 and SFs at a given temperature. 

Note RMSE, root-mean-square error REP, relative root-mean-square error. 

Figure 28.4b, the variables selected by MLR-SPA are indicated. Table 28.1 also contains the root-mean square error (RMSE) and relative root-mean-square error (REP) for the calibration models and validation set, respectively. 

RMSD is a relative root-mean-square deviation (in per cent) between experimental values of density and those calculated from the particular function (Tait Eq. 1 or Eqs. 2,3) ... 

RRMSE = Relative root mean square error. 

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