Sentence examples for validity of the simplification from inspiring English sources

Results show the versatility of the generic linear/nonlinear shell energy harvesting mechanism and the validity of the simplification procedures.

The validity of this simplification is verified through simulations.

The numbers show in how many of the 100 different noise realizations, invalidation decision could not be made for the simplified model, ODE S. Lack of invalidation decision showed the validity of the model simplification.

In this respect, significant progress can be made by the systematic investigation of the limiting forms of equations and rate constants involving multiple vibronic states and understanding the limits of validity of the inherent simplifications.

Vo et al. (1990) further illustrated the approximate validity of the following empirical simplification of the Z tp MBE: frac{{overline{p} }}{{overline{Z}_{{{text{tp}},{text{CCE}}}} }} = frac{{p_{i} }}{{Z_{{{text{tp}},i}} }}left( {1 - frac{{G_{p} }}{{G_{i} }}} right) (7).

Using the solution obtained, the validity of model simplifications that have appeared in the literature is evaluated by comparing the predictions of those models.

With these parameters the validity of several simplifications can easily be demonstrated and solutions, given in the literature, can be put in perspective.

The force results are shown for shield modules 7 and 13 exposing the validity of geometrical simplifications.

Therefore, the aims of this study were to determine the optimal tracer kinetic model for analysing [11C]HED data and to assess the validity of several simplifications, such as RI, SUV and a population-averaged metabolite correction.

The analysis of stiffness of synthesized 3D-structures allows us to determine the minimal representative size of the constructed systems and to judge the validity of various model simplifications (e.g., fillers of equal size or random arrangement, lack of micropellets, etc.).

A subset of Semeion handwritten digit dataset [28] was used to test the new algorithms and proof the validity of simplifications.