Sentence examples for first and second order terms of from inspiring English sources

The results indicated that in the case of Indirect Tensile Strength at saturation condition (ITSsat) all the first and second order terms of the aggregate grading, hydrated lime and Sasobit contents, as well as their interactive terms, were statistically significant at 90% confidence level.

The response surface is constructed using the moving least squares interpolation formula by including constant, first-order, and second-order terms of the HDMR and the FHDMR.

In the regional regression models, the matrices of cross-terms and second order terms were deflated with respect to the variation described by the first order terms (in an OLS regression) in order to better separate the effects of nonlinear terms and first order terms.

For the second-order expansion, this means that the sum of the first and second-order terms should vanish.

(11a, 11b) and (12) are obtained by neglecting second order term of the perturbation expansion.

We obtain equations of zeroth, first and second orders in terms of the smallness parameter ε when we use Eqs.

Approximate Galerkin solutions are compared with results of Monte Carlo simulation, in terms of first and second order moments and in terms of histograms of the displacement response.

First and second order mathematical models, in terms of machining parameters were developed for surface roughness prediction using RSM.

To find the proper order of the Fourier series, we estimate models with between first- and fifth-order terms.

We partition the latter in terms of the contributions of the first and second order moments of the network.

These algorithms are characterized in terms of convergence by their respective first and second order stability regions.