Sentence examples for using this analytical approach from inspiring English sources

Using this analytical approach, it is possible to compute the stresses around an ellipsoidal defect without FE simulations.

Using this analytical approach to obtain the initial geometrical parameters can significantly reduce the design efforts, since the numerical FEM simulation only serves for verification and fine-tuning.

The temperature results obtained using this analytical approach were compared with those obtained from a finite-difference analysis, and were in excellent agreement.

Using this analytical approach, we report for the first time that the number of SEMs is low in childhood and increases exponentially during aging.

Identifying differences in the relative importance of risk factors in sub-groups can be informative – as is evident from the few previous studies using this analytical approach (Lazcano-Ponce et al, 2001; Molano et al, 2002; Anh et al, 2003).

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

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.

It should further be noted that the error rate derived from simulations instead of using the analytical approach was practically the same, but slightly lower (data not shown).

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

To demonstrate the distinct gene clusters, we performed a two-way hierarchical cluster analysis on the genes identified by this analytical approach, using the algorithm described by Eisen et al. [ 28].