Sentence examples for using the standard functions from inspiring English sources

To compare more directly with the formal analysis, I generated another figure for 2000 using the standard functions, exactly duplicating the 2001 analysis using the raw data.

The statistical analysis was done in R using the standard functions fisher.test, chisq.test, and lm for the regression [ 83].

Classical multidimensional scaling (MDS) was performed using the standard function of the R program to provide a visual impression of how the various sample groups are related.

Finally, expert opinions were combined using Fuzzy Logic Theory for each relationship using the standard procedure aforementioned (i.e., membership functions specified by equations 1 to 5, Mamdani algorithm, sum method of aggregation, and centroid for defuzzification).

In the following, we define the families of generalized normal (GN) distributions, T-normal{Y}, using the standard quantile functions (b - e) defined in Tab - e.

Uncertain demands are assumed to be normally distributed with known mean and standard deviation, and expected profit in the objective function is evaluated using the standard loss function.

Additionally, in most cases the solutions generated using this new method have greater regularity than the solutions obtained using the standard Euler Lagrange function.

Save as the VRML format using the standard "vrml" function of MATLAB.

K1, k2, and Vb were also estimated at the voxel level for [15O]H2O using the standard Basis Function Method approach [15].

Next, using the standard Bubble function technique, we fix ϱ T ∈ P 3 with 0 ≤ ϱ T ≤ 1 = max ϱ T and zero boundary values on T to derive C ∥ curl ( A − 1 p h ) ∥ 0, T 2 ≤ ∥ ϱ T 1 / 2 ⋅ curl ( A − 1 p h ) ∥ 0, T 2. (3.2.).

Error bars for gene expression were calculated in Excel using the standard deviation function.