Sentence examples for between the distribution functions from inspiring English sources

Firstly, the method should formally include the extremal index in the relationships between the distribution functions.

They are designed such that the kernels describing the relationships between the distribution functions and the measured data are separable.

The largest difference between the distribution functions in this direction is 0.38.

The largest difference between the distribution functions in this direction is 0.71 which is almost double the difference shown in Fig. 4.

The largest difference between the distribution functions is 0.19, which is considerably smaller than the differences in Fig. 4 and the left panel of Fig. 5.

Differences between the distribution functions of data for three or more subject groups were determined using Kruskal Wallis test (shown in text and figure legends).

Note that this modification of the objective function has no direct effect on the calculation of the distribution functions since the modification never changes the relationship between the model and the distribution function in the objective function.

Define the spacings as the "gaps" between the values of the distribution function at adjacent ordered points: : D_i(\theta) = F(x_{(i)};\,\theta) - F(x_{ i-1)};\,\theta), \quad i=1,\ldots,n+1.

From the results of impedance measurements it was shown that, due to interface charging effects, a shift of the semiconductor band edges of more than 0.5 V reduces drastically the overlap between the valence band and the distribution function of Fe CN 3−6; the hole injection reaction becomes kinetically controlled.

Observe in Figure 5 that the difference between the initial data and the distribution function at time t = 1.8 is almost negligible.

The KS test calculates the maximum vertical deviation (D) between the empirical distribution functions of the two groups to determine whether the two datasets are drawn from the same distribution.