Sentence examples for using a quadratic polynomial from inspiring English sources

Model I: star experiment design using a quadratic polynomial without cross-terms; Model II: minimum experiment design using a quadratic polynomial with cross-terms; Model III: composite experiment design using a quadratic polynomial with cross-terms.

In the analysis procedure, the approximation of the response, y, was determined using a quadratic polynomial regression model as a function of the pyrolysis parameters using Eq. 1, which has linear and quadratic terms in addition to an interaction term, where b is the regression coefficient, χ is the independent parameter, and e is the experimental error.

We adjusted for maternal age as a continuous variable using a quadratic polynomial function.

We tested for possible nonlinear association between circulating 25(OH D levels and type 2 diabetes using a quadratic polynomial spline regression analysis, considering a possibility of data perturbation at an extreme end of the exposure range (29).

Fitting the data to various models (linear, two factorial, quadratic and cubic) and their subsequent ANOVA showed that reactions of palm stearin and cetyl alcohol were most suitably described using a quadratic polynomial model (Table 3).

Analysis of the tumour blood flow data using a quadratic polynomial model showed that endostatin-induced changes in tumour blood flow were significantly related to dose at 56 days (Davis et al, submitted).

For accurate estimation of fundamental frequency, phasor, decaying dc and ac components in the fault current or voltage signal, the algorithm uses a quadratic polynomial signal model and a fuzzy adaptive ADALINE filter with a modified Gauss Newton algorithm.

To control for individual earnings differentials over the life cycle, we use a quadratic polynomial in age for both the first and second generation, i.e., y fi = β f 0 + β f 1 a g e i + β f 2 a g e i 2 + u fi, (3).

Using RSM, a quadratic polynomial equation was obtained by multiple regression analysis for predicting optimization of the extraction protocol.

An empirical curvilinear relationship can be achieved using a quadratic equation (Eq. 16), but, like all polynomial functions, should not be used for extrapolation.

Using response surface methodology, a quadratic polynomial equation was obtained for methyl ester yield by multiple regression analysis.