Sentence examples for existing equations from inspiring English sources

Our analysis suggests that considering tree form in equation selection may better match trees to existing equations and that substantial gaps exist, in terms of both species and diameter ranges, that are ripe for new model-building effort.

The results were used to validate selected existing equations.

The accuracy of the proposed model was also evaluated by comparing with existing equations.

First, the existing equations for calculating the discharge coefficient were studied making use of experimental results.

A comparison of the proposed and existing equations is also presented.

The study also recommends the consideration of the rotor into the existing equations for future research.

Existing equations for steel bar embedded in normal concrete are not efficient and applicable for SCC.

For inclined cylinders, the new correlation is also compared to existing equations for inclined plates.

These formulas were able to predict the shear strength better than other existing equations.

Unlike existing equations, proposed models demonstrate acceptable fit with the database.

There are existing equations which predict the efficiency and power output of the TEGs but in this paper, alternative equations are derived which are far simpler than the existing equations to use.