Sentence examples for substantiate the validity of from inspiring English sources

We establish an example to substantiate the validity of our results.

We also furnish an example to substantiate the validity of our results.

A numerical example is given to substantiate the validity of the theoretical results.

Accurate calibration of instrumentation at the nanometer length scale has therefore become increasingly important to substantiate the validity of measurements on manufactured products.

To substantiate the validity of the optimization results, we discussed the decision model's assumptions with the interviewees, particularly with respect to whether the assumptions hold in the case at hand.

Numerical simulations are presented to analyze the characteristics of Lorentz-augmented hovering around eccentric orbits and the results substantiate the validity of the proposed open-loop and closed-loop control methods.

This negative result substantiates the validity of the cross-validated predictive model on Figure  2.

The probabilistic sensitivity analysis performed in addition substantiated the validity of the favorable base case results.

The results substantiates the validity of the proposed anisotropic hardening model in describing the mechanical and deformation response of a transversely isotropic material exhibiting transversely isotropic hardening.

Statistical analysis of the DNS data shows that fuel cracking is complete before the flame zone, and for the conditions tested, turbulent transport does not bring any significant fuel molecules into the flame zones, thus further substantiating the validity of the approach proposed.

Subsequent independent experiments finally confirmed that all the distilled recombinants are really artificial, further substantiating the validity of our approach.