Sentence examples for approximations were found from inspiring English sources

These approximations were found to agree at high and low frequencies as predicted for 1/ln(s).

Approximations were found for estimating the reduced resistances which were generally of high accuracy or conservative, and for estimating the increased resistances caused by elastic and rigid top flange end torsional restraints.

The asymptotic approximations are found to be highly accurate over the whole waveform, when compared with numerical solutions.

Both the first-order (Maxwell) and the second-order approximations are found to represent experimental data reasonably well for dispersions of low to moderate concentration.

For the elastic wave equation, the approximations are found to be at least as accurate as predicted, but with a free surface the scheme may exhibit an unexpected superconvergence.

Monte Carlo simulation method may be used to obtain the "exact" solution, at the expense of a higher computational cost, while methods based on first order approximations are found to be computationally efficient and to provide information of interest for the design process, but they are also shown not to be particularly accurate in some cases.

The TB approximation is found to be sufficient in the investigation for small uniaxial strain strength.

The plasma fractions were measured in the first four patients, and the approximation was found to be reasonable.

The model as a first approximation is found to be applicable for coverages up to 20%.

The approximation is found to be satisfactory over a wide range of parameters for case (1).

A solution for the polynomial radial basic eigenstrains approximation is found.