Sentence examples for formulas are utilized from inspiring English sources

Graphical results and series formulas are utilized and discussed quantitatively to illustrate the solution.

Several existing formulas were utilized to predict the shear strength, and the results were compared to the experimental results.

To account for rate-dependent material properties, where is needed, equations derived from a logarithmic formula, are utilized.

An iterative formula is utilized to achieve the CT image reconstruction.

In this article, the Weber contrast formula is utilized to derive the condition of local image contrast preservation.

In order to evaluate the optical bandgap of the thin film, the Tauc formula was utilized [15].

As for clustering method, discriminant analysis using regression formula is utilized to classify the data with 2 classes.

After recording the user's perception of distances through surveys, the above formula is utilized to obtain the personalized distance function.

By substituting 3 in 7, we obtain begin{aligned} {mathcal {X}}^M t_p approx y(t_p)+int _{0}^{t_p}{mathcal {K}}(s,t_p,{mathcal {X}}^M s),{mathcal {U}}^M s)){mathrm{d}}t. end{aligned} (8)The GL quadrature formula is utilized to approximate the integral term in Eq. 8.

The following formula was utilized to calculate the delta threshold (Δ T ), which was used to determine which delta values were suggestive of LOH (Δ S ).

Due to the computational efficiency and uncomplicated formulas, the triangulation functions are utilized.