polynomial

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Related to Polynomial curve: Curve fitting problem

polynomial

(pŏl′ē-nō′mē-əl)
adj.
Of, relating to, or consisting of more than two names or terms.
n.
1. A taxonomic designation consisting of more than two terms.
2. Mathematics
a. An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to nonnegative integral powers. For example, x2 - 5x + 6 and 2p3q + y are polynomials. Also called multinomial.
b. An expression of two or more terms.

polynomial

a relationship between two variables such that y = a + bx + cx2 + ... qxn. A straight line is y = a + bx. Any curve can be approximated with a polynomial formula.
References in periodicals archive ?
The equation for the polynomial curve of the standard deviation can be expressed as
Fortunately, low order Bezier curves can be appended or 'stitched together' to form larger piecewise polynomial curves under specified constraints of continuity at the joins.
the fitting of certain curves that can be reduced to straight lines by transformation of the Y or X variable, fitting a polynomial curve in X which is often a good approximation to a more complex curve, and the asymptotic curve and logistic curve which require more complex procedures.
2) A second-order polynomial curve is then fitted to the data and a second ANOVA carried out to obtain the SS of deviations from the curved regression.
There are various strategies that can be employed to decide which polynomial curve actually fits the data best.
ANDERSON, Vector elimination: A technique for the implicitization, inversion and intersection of planar parametric rational polynomial curves, Computer Aided Geometric Design 1(1984), pp.
Other topics include non-rigid registration in 3D implicit vector space, computing the Minkowski difference of convex polyhedra, representing polynomial curves with adjustable interpolation points, and tiling surfaces with cylinders using n-loops.
These are higher order curves that are genomically imposed and on the bases of polynomial curves and Fourier rows (harmonic analysis in Eq.
Degree reduction is also needed to simplify some geometric or graphical algorithms for intersection calculation of two polynomial curves or surfaces.