Sentence examples for help of results from inspiring English sources

One aim of this paper is to show, with the help of results obtained for multicriteria optimization in [11], that the answer is positive.

We establish various functorial properties of L2-analytic torsion and also compute it for odd-dimensional, closed, hyperbolic manifolds, with the help of results from Fried.

Having these above mentioned things in mind, in this manuscript we have the main aim to prove the existence and uniqueness of a nonlinear fractional differential equation of Caputo type with the help of results obtained within ordered metric spaces.

The reliability and effectiveness of the design scheme is measured with the help of results of statistical analysis based on sufficient large number of independent runs of the algorithms rather than single successful run.

To be able to handle the very large and complicated structure of the AChEt, we made a number of modifications on the CG model with the help of results from the AA-MD (see Methods).

This can be also used in further work to verify results of computer simulations of the stress intensity factor at spot welds with the help of experimental results.

The following choices were made with the help of experimental results.

The theoretical predictions have been successfully validated with the help of simulation results.

With the help of the results in Table 1, the RSI value of each model is calculated in Table 2.

Through this example, we will show step by step how to build efficient numerical procedures with the help of theoretical results obtained by applying geometric optimal control techniques.

For all of this the original formulations of EAM and EWM were recalibrated with the help of experimental results previously published and the resistance partial coefficients are checked.