Sentence examples for while the analytical from inspiring English sources

The results showed that the numerical method overestimates this force, while the analytical ones underestimate it.

Finite element models are in good agreement with the experimental measurements while the analytical models over-predict the measured strength due to a neglect of manufacturing imperfections.

While the analytical procedure used may be found in many textbooks, numerical results and a physical understanding of the vibratory motion are seriously lacking.

The weak form is discretized using the isoparametric finite element approximation, while the analytical solution is derived from the strong form.

The numerical portion of the model uses a compact finite difference scheme to obtain high accuracy with three-point support, while the analytical sections have been developed to resolve singular behavior that is inherent to this flow.

While the analytical approach yields a concentration relative error circa 11% for a 50 μm diameter Pt disc, the calibration, has lower errors and yields a detection limit down to 0.9 μM with the same disc.

While keeping the analytical results consistent with the conventional procedure (extraction yield for Europium of ≈97%), the use of the centrifugal microfluidic platform allowed to reduce the volume of liquid needed by a factor of ≈250.

As a consequence, the underlying assumptions made while deriving the analytical formulation of this coupled fluid and heat flow problem appear reasonable.

The target compounds were retained in the SPE column and the matrix that is not retained during the extraction process was directed to waste while simultaneously the analytical pump equilibrates the analytical column in the starting gradient conditions.

These results are insufficient to provide a complete framework to cover all components of audience experience, or measure the effects of both internal and external factors all while performing the analytical processes in a timely and efficient way.

The largest of these studies systematically examined heterogeneity in relative risk estimates for 53 drug outcome pairs across 10 US databases (all with more than 1.5 million patients), while holding the analytical method constant.