Sentence examples for mean square discrepancy from inspiring English sources

Then the value of functional discrepancy for temperatures beyond the transition region was calculated as a mean square discrepancy between the experimental and numerical data: psi =sqrt{frac{{displaystyle sum_{i=1}^nvarDelta {varepsilon_i}{n}}{n}}, (5).

Since, in [25], the authors propose another physically realizable quantum system considered as a filter, connected to the output of the plant whose dynamics can be determined by minimizing the mean square discrepancy between the plant's state and the output of the filter.

The afterslip distribution shown in Fig. 7(a) was found to be consistent with that obtained with thus analytically calculated GFs (root mean square (RMS) discrepancy between them is 0.034 m).

These comparisons were quantified by the square-root of the mean squared discrepancies (RMSD) between the maps on the common grid-points (Table 1).

Its fitness metric function (to be minimized) presents the mean square error given through discrepancy value between model prediction and actual measurement for each sampling time.

The quality of the parameter estimates is measured by the root mean square (RMS) of the discrepancy vector (19) R M S = 1 N ∑ a = 1 N g ∑ i = 1 N c ∑ j = 0 N t α j a (g i a (T j, θ ) m o d e l − g i a (T j ) d a t a ) 2, where N t = 8 is the number of time classes, N c is the number of nuclei and α j a is equal to zero for Tll at j = 0,1, 2 and for Cad at j = 7, 8, and is equal to one otherwise.

Infit and outfit are mean square residual statistics of model fit discrepancy with an expectation of 1.0 and a range from 0 to infinity.

The root mean square error of approximation measures the discrepancy between the model and the observed covariance matrix and is expressed per degree of freedom, thus taking into account the complexity of the model.

The accuracy of the models is studied by the root mean square error (RMSE), the mean absolute percentage error (MAPE), the discrepancy ratio (Dr) and the concordance coefficient (CC).

Abbreviations: df degrees of freedom; CMIN/DF minimum discrepancy, divided by its degrees of freedom; CFI Comparative-Fit Index; RMSEA root mean square error of approximation.

The discrepancy in the trends of changes in 6MWD between study groups remained significant after adjusting baseline variables (mean square = 243.262, F index = 4.402, and P = 0.045).