Sentence examples for and approximations in the from inspiring English sources

This is due to uncertainties in the map and approximations in the modelling process.

However, elastic constants of the yarn except the Young's modulus were difficult to obtain and were basically assigned based on assumptions and approximations in the FE modelling, which caused some inaccuracies.

Using the experimental data for the hydration free energies as a benchmark, we find that the theoretical results are sensitive to selection of quantum-mechanical methods for determining atomic charges and solute configurations, assignment of the force-field parameters in particular the atomic partial charges, and approximations in the statistical mechanical calculations.

Yet, given the large number of assumptions and approximations in the theoretical basis of NIRS, one may consider trends in different NIRS parameters as more robust than discrete values.

In this article we use simple and elementary inequalities and approximations in order to estimate the mean and the variance for such trials.

In addition, the assumptions and approximations made in the application's crop modeling and profit calculation are summarized, and directions are provided for accessing the application on the Ogallala Aquifer Project web page.

Each method relies on some (non-contact) measurement of the strain and some approximations in the calculation of stress.

The inexactness in these theories arises due to (1) exclusion of the follower pressure loads, and (2) approximations in the geometric non-linearity.

The aim of this work is to show that a Green's function formulation of reaction diffusion PDEs is a suitable framework to derive FD schemes incorporating both O h2) accuracy and nonlocal approximations in the whole domain (including boundary nodes).

Therefore, error floors are necessary to reflect the reality of working with MT data: intrinsic complexities and necessary approximations in the MT method, from data acquisition to data inversion, make it impossible to perfectly model real data.

To accelerate the computation process of rough set approximations, this paper first presents the boolean matrix representation of the lower and upper approximations in the composite information system, then designs a parallel method for computing approximations based on matrix, and implements it on Multi-GPU.