Sentence examples for use a quadratic polynomial from inspiring English sources

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).

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.

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.

The results, including tumor blood flow measured by positron emission tomography, were analyzed using a quadratic polynomial model.

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.

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).

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).

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).

The experimental values obtained from the CCRD were regressed by using a quadratic polynomial equation, and the two regression equations, expressed in terms of the coded factors defined in Table 3 were as follows: X1, glucose; X2, soy peptone; X3, MnSO4·H2O; X4, initial pH.

In practice, one can use a quadratic approximation or polynomial approximations of order not higher than three.