Sentence examples for and approximated by using from inspiring English sources

The nonlocal governing equations for nanoplate theory are derived from the Hamilton's principle and approximated by using isogeometric analysis associated with the higher-order shear deformation theory.

Compare with other kinds of stability problems, the long term voltage stability problems can be simulated and approximated by using the static model and methods.

However, it is in the form of, and, thus, it can be efficiently and accurately approximated by using the Gauss-Laguerre quadrature rule [23] in closed form as in (11).

For a small sample of participants, ECGs were not available at the time this report was written because of logistic problems and were approximated by using ECGs from the previous examination (year 2000 2001).

Doublet-point method is used for the calculation of supersonic unsteady aerodynamic forces, and aerodynamic forces are approximated by using the minimum-state approximation.

where the spatial and temporal derivatives are approximated by using the classical central differencing and the implicit Euler method, respectively.

To this end, the objective function and the reliability constraints are approximated by using a hybrid form of linear, reciprocal and quadratic approximations.

To assess the variability of the estimates, confidence intervals for CL pass, CL act, and CL bile are approximated by using a residual bootstrap method as described before.

We also show that the latent and infectious periods can be approximated by using lognormal distributions with means (SD) of 4.3 (1.8) and 2.5 (1.2) days.

Using this property, we showed that the association between mating preferences for BMI and actual partner's BMI can be very well approximated by using mating preferences for stature and body mass, meaning that individuals that have the same BMI but different statures and body masses are not equally preferred.

The displacement and electric potential fields in the proposed method are approximated by using B-spline interpolation functions in x and y directions.