Sentence examples for were approximated by using from inspiring English sources

Oxygen levels experienced at depth were approximated by using the calculated track points and matching them up with data from the World Ocean Atlas 2005 [26].

The working lengths were approximated by using the ruler feature on the XDR digital radiography program.

QALYs were approximated by using the area-under-the-curve technique.

On the basis of the responses (intensity of activity and the hours spent on each intensity grade), metabolic equivalent values (METs) were approximated by using previously developed procedures.

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).

Solutions for the distance matrix problem were approximated by using Monte Carlo optimizations (Dali) (Holm and Sander, 1993) and an algorithm involving heuristic cutoffs on pairwise distance scores [Combinatorial Extension, (CE)] (Bourne and Shindyalov, 1998), whereas the contact map overlap problem has been addressed by using integer programming and Lagrangian relaxation (Caprara et al., 2004).

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

Through numerical simulation of the radiative heat transfer, polydisperse water droplets can be approximated by using the Sauter diameter, a technique that can be useful in several research fields, such as engineering and atmospheric science.

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

The PDF can be approximated by using square root B-spline expansions.

In order to rationalize subsequent numerical calculations, the transfer functions are approximated by using truncated series.