Sentence examples for sum of squared values from inspiring English sources

The χ-distribution function can take only non-negative values because it is defined as a sum of squared values.

The sum of squared values of loadings that describe the dimension is referred to as eigenvalue.

The second term is a smoothness term on the sum of squared values of the second derivative of (g) to ensure that the function (g) is smooth; in this discrete setting, the second part can be calculated by the formula (6).

Significant differences were also found in the standard deviation, standard error, skewness and sum of squared values between severity groups.

The weight vector w of the linear logistic regression is usually learned with L2-regularization as follows: min || w w || 2 + C ∑ i = 1 n D ∑ j = 1 n P log 1 + exp - y i j w T Φ D i, P j, where || · ||2 is L2 norm (the sum of squared values) and C is a regularization parameter to control the penalty.

The study of the sum of square values after regression analysis showed that EFS was the factor with greatest effect on microbial inactivation.

The time specific linear contrasts showed the largest sum of square values (SS) occurred at 180 min (SS=0.268) for the simulated SIF (pH 6.8) versus SGF (pH 1.2) comparison (DF=166, MSE=3.92×10−3).

For the nonlinear isotherm plots, the reduced Chi square values ((chi^{2}) values) and the residual sum of squares values indicated that Langmuir isotherm better fits the equilibrium data than Freundlich and Temkin isotherms (see Table 4).

For the nonlinear kinetic plots, the reduced Chi square values ((chi^{2}) values) and the residual sum of squares values suggested that pseudo-second-order equations gave better fit to the kinetic data when compared to pseudo-first-order and intraparticle diffusion equations.

For the nonrotated task PLS, the singular image is simply the cross product of a contrast and the data matrix and the singular value is the sum of squared voxel values for the singular image.

After normalization of data, variogram was drawn, for selecting suitable model for fitness on experimental variogram, less residual sum of squares value was used.