cubic curve

cubic curve

[′kyü·bik ′kərv]
(mathematics)
A plane curve which has an equation of the form f (x, y) = 0, where f (x,y) is a polynomial of degree three in x and y.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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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 trajectory.
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, Comput.
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.

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