Sentence examples for using the analytical approach from inspiring English sources

Table 2 Prediction of the lateral strength using the analytical approach.

The predicted strength of the specimens using the analytical approach falls within ±12% of the average of the test results.

A case study is selected to calculate and compare the reliability of different system configuration using the analytical approach.

This turned out to be possible using the analytical approach (both models) and a special computer simulation method.

Comparing the force developed in each PT bar at the peak strength of the columns using the analytical approach, T Analysis, and experimental results, T EXP, revealed that using the analytical approach, the PT force in the bars at the peak strength was within ±12% of the average of the test results.

The optimization problem is formulated as a multi-objective optimal control problem and it is solved using the analytical approach that exploits Pontryagin's minimum principle.

To this end, we use the analytical approach for detecting chaos developed by Liz and Ruiz-Herrera [12].

We used the analytical approach described in Buckland et al. [56] and used Chi-squared goodness of fit, Akaike's Information Criterion values, and visual inspection of detection functions to select models that provided the best fit to the data.

To discover salt tolerance-related miRNAs in cotton, we used the analytical approach shown in Additional file 9C.

The resulting shakedown designs are then compared with the thickness design chart using the analytical design approach.

Drawdown responses to pumping that were numerically simulated with a complex three-dimensional MODFLOW model were closely approximated using the analytical drawdown estimation approach.