Sentence examples for by second order polynomials from inspiring English sources

The five response functions (drying time, average dehydration rate, AAC, GC, GT) correlated with these variables by second order polynomials consisting of linear, quadratic and interaction terms.

These response functions can be correlated (r ⩾ 0.82, p ⩽ 0.01) with the independent variables by second order polynomials consisting of linear, quadratic and interaction terms.

The vertical Te profiles at fixed geomagnetic latitudes are approximated by second order polynomials and then the three constants of these polynomials are approximated by another set of analytical expressions, being explicit functions of altitude, geomagnetic latitude and local time.

The effects on terpenes recovery yields of exposure temperature, between 25 and 45 °C, exposure time, between 5 and 25 min, and sample ionic strength, between 0 and 250 g/L NaCl, were modelled by second order polynomials parameterised with data from a Hoke experimental design of 13 runs.

In order to describe the relationship between the dependent and independent variables (moisture, temperature), the response values were fitted by second order polynomial models.

A high regression coefficient between the variables and response (R2 = 0.9974) supported excellent evaluation of experimental data by second order polynomial regression model.

However, Fig. 7 illustrates that a best-fit equation is derived by second order polynomial regression of all data points in the figure.

Their corresponding experimental data could be evaluated excellently by second order polynomial regression models and the two models were also examined based on the analysis of variance and t test statistics, respectively.

High value of regression coefficient between the variables and the response (R2 = 0.9512) and low probability value indicate excellent evaluation of experimental data by second order polynomial regression model.

RSM experiment was executed using central composite design (CCD) with the association of independent factors of pressure (MPa), temperature (°C), and pressure-holding time (min) and results were assessed by second order polynomial equation.

In the practical range of 10 30 °C, the relationship of the three kinetic parameters with temperature was described by second order polynomial expressions, whose parameters, in turn, depended on water activity.