Sentence examples for by applying higher order from inspiring English sources

end{aligned} (4.4) It can be shown that (DI) is a dual problem to (P) by applying higher order exponential type hybrid invexity assumptions.

By applying high-order moment standardization technique (HOMST), reliability and sensitivity with single failure mode were obtained and then the reliability model and the sensitivity model with multiple failure modes were developed and common methods such as Narrow bounds, AFOSM and Monte Carlo were used for verification and comparison.

This can be achieved by applying high vacuum or by purging the reaction vessel with an inert gas in order to push the reaction to completion.

By applying high argon pressure of 40 bar during Travelling Solvent Floating Zone growth of LiMnPO4 the vaporization was reduced by orders of magnitude.

We demonstrate that significant computational gains can be obtained by applying embedded, higher order Runge Kutta methods in a time adaptive setting.

For a general class of non-linear oscillators, ultra-subharmonic resonances of order 3/2 and 2/3 are analyzed by applying the higher-order averaging method.

In general, applying higher voltage results in an increase of the damping coefficient by more than one order magnitude and significantly increases the minimal damping coefficient capable of being reached after field reversal.

Local refinement is applied by introducing higher order polynomials in selected subdomains (local p-refinement) to keep the problem size small while ensuring high approximation accuracy.

The acceleration is done by applying different high voltages in order to probe different depths beneath the surface of the target sample.

Height data were plane-corrected by applying a 3rd order polynomial fit [ 32].

Slow changes in the data were removed by applying a high-pass filter with a cut-off of 128 s, and a first-order autoregressive process was used to correct for autocorrelation of residual signals in the GLM.