Sentence examples for rely on the validity from inspiring English sources

Exact(1)

Instead of using semi-analytical solutions that rely on the validity of the separation of variables concept, the complicated nonlinear governing equations are solved using the finite element method.

Similar(59)

Wrap up by having students share what they know about the premature reporting of the death of Joe Paterno, the Penn State football coach, then have them read the Onward State account of how this student publication relied on the validity of an e-mail made to look as if it had come from a Penn State official.

"Cosmology has achieved very impressive results on neutrino mass, but it relies on the validity of the underlying cosmological model," he says.

It should be noted that this estimation is very rough because it strongly relies on the validity of the assumption of the ω 2 model and the self-similar scaling law.

Since our proof relies on the validity of the so-called Measure Contraction Property and on the fact that the optimal transport map exists and the Wasserstein geodesic is unique, the absolute continuity of Wasserstein geodesic also holds for Alexandrov spaces with curvature bounded from below.

Simultaneous potential-dependent measurement of photoelectrochemical currents and of photoinduced microwave conductivity (PMC) allows the evaluation of a series of interfacial parameters (eg charge transfer rate, surface recombination rate, surface minority carrier concentration), but relies on the validity of a relatively complicated theoretical analysis (given in a preceding publication).

Such a decomposition relies on the validity of the mapping between model parameters and the postulated psychological processes.

They thought it was better to be on the safe side and started CPR rather than relying on the validity of the DNR clause.

The credibility or interpretation of the results of clinical trials relies on the validity of the methods of analysis or models used and their corresponding assumptions.

The accuracy of depression assessment, however, highly relies on the validity of the tools that can be used for the assessment.

The quality of this information relies on the validity of the exposure data, the validity and sensitivity of neurobehavioral function tests, and the degree to which sources of bias are controlled.

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