Let E [subset] [P.sup.2] be a smooth cubic curve
and let O [member of] E be an inflection point of E.
If [b.sup.2] - 3ac > 0, two distinct turning points result--characterised by a local maximum and a local minimum--giving the classic S-shaped cubic curve
. For an example, see Figure 1(a).
The study showed students' intrinsic motivation (intercept = 2.21, slope = 0.07, quadratic = -0.04, cubic = 0.01) along with identified (intercept = .68, slope = 1.85, quadratic = -0.66, cubic = .07) and external regulation (intercept = 1.83, slope = 0.10, quadratic = -0.02, cubic = 0.00) to increase following a cubic curve
The central theme of the doodle was the cubic curve
for which the female mathematician was well-recognized.
The model was validated by considering the cubic curve
fitting (normal Q-Q plot), the significance of [R.sup.2] and p values.
 Wang, C.Y., Shape Classification of the Parametric Cubic Curve
and Parametric B-spline Cubic Curve
The capacity modifying quadratic or cubic curve
as a function of mass flow fraction (CAPFF) is given by:
Hussain and Sarfraz (2008) starts with a positive rational cubic curve
through 1D positive data and it also extends it to an economical positive rational bicubic for a 2D data arranged over a rectangular grid.
(1993,1997) have considered cable as parabolic and cubic curve
in shell and semiloof shell elements whereas Pandey et al.
The cubic curve
looks a little more interesting, but the improvement in fit is statistically negligible (R-squared = 0.01); and an inspection of the curve shows that the differences between the 'highs' and the 'lows' are trivial.
Determination of threshold E[C.sub.w], slope factor, and E[C.sub.w] for 50% growth reduction are even more confusing for highly salt-tolerant types that demonstrate a cubic curve
, and includes ecotypes that show two equal growth maxima inflection points, such as total plant growth with maxima at E[C.sub.w] 1.1 and 18.0 (S[ 93-1) and 1.1 and 33.0 dS [m.sup.1] (SI 92) (Fig.