On the one hand, the described scatter of the values of the coefficients of the

cubic polynomial approximation signals that the use of their single representative values is generally not justified.

We fit a

cubic polynomial curve to the nestling growth data because it maintained the linear nature of the curve while allowing for a biologically accurate representation of slower nestling growth both early and late in the nestling stage.

or they impose it locally using a subspace of functions (Helmert, complex

cubic polynomial, etc.

A four-variable

cubic polynomial was elected for modeling EIR, power consumption, and cooling capacity of the heat pump outdoor unit as a function of outdoor air temperature, zone air temperature, compressor speed, and condenser fan speed.

2] is determined by that of the

cubic polynomial (12) which now takes the form,

Because these approaches are computationally intensive, only quadratic and

cubic polynomial RR models and the Gompertz non-linear mixed model were evaluated, along with the simple quadratic and linear regression on age on a pig-by-pig basis for DFI and BW.

In order to see how and where, recall that the principal values of a 3 x 3 matrix are the roots of a

cubic polynomial (the characteristic equation of that matrix).

The derived calibration can be graphically compared with a

cubic polynomial fitted to the same data and the

cubic polynomial calibration models of Little (1992) and Ahem et al.

In the

cubic polynomial regression model, the overall statistical test for the three regression coefficients to be simultaneously zero was significant (P = 0.

1,2] The methods start out by fitting a polynomial of sufficiently high order, for example a

cubic polynomial.

A special

cubic polynomial equation with four variables was fitted by regression analysis.

The

cubic polynomial f (q) on the right-hand side contains three parameters: the velocity c of the wave profile relative to the moving frame and two constants of integration, A and B.