Sentence examples for solutions the analysis from inspiring English sources

In addition, instead of the customary Carathéodory solutions, the analysis is performed in the framework of Filippov solutions which subsumes solutions with infinite switching in finite time and sliding modes.

Although the behavior of the system is quite intricate both in time and space, by using the d'Alembert's solution, the analysis of the dynamic characteristics can be reduced to that of a finite-dimensional difference equation.

The scarcity of analytical solutions in this type of motion is perhaps due to the complex hydrodynamics involved, and even if we have the formal solution, the analysis of wave integrals is difficult, to say the least.

Following the rejection of the two-factor solution, the analysis fell back on the original one-dimensional model, now focusing on the MIs/EPCs in order to examine possible residual correlations.

Statistical significance between flux solutions for the analysis of alternate flux solutions was determined by use of 1-way ANOVA.

However, impulsive actions can influence the behavior of solutions making the analysis more difficult.

All samples were stored at 4°C until pretreatment as well as the sample solutions until the analysis.

Numerical solutions for the analysis of such structures are still an active field of research.

Our review of commercial solutions involved the analysis of 141 international software packages, categorized into 11 functions.

(3)The formula in the last display allows to shift the study of solutions to the analysis of a related integral operator.

Numerical examples are provided to illustrate the resulting solutions to the analysis of stress distribution pattern, strength-based failure and fracture behavior.