polynomial function


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polynomial function

[¦päl·ə¦nō·mē·əl ′fəŋk·shən]
(mathematics)
A function whose values can be found by substituting the value (or values) of the independent variable (or variables) in a polynomial.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Based on the SEE, the polynomial function gave the lowest values at 1.33 for TTB, 0.99 for ABG, and 0.5 for BGB.
The first aim was to set some restrictions to the use of a single-valued polynomial function of nth degree to approach the interphase elastic properties for a general class of fibrous composites.
For the attribute sequence [??] = < [z.sub.1], [z.sub.2], ..., [z.sub.n] > of one participant U, we define a polynomial function [mathematical expression not reproducible] to describe U's attribute character.
(1) If f(x) = [[summation].sup.k.sub.i=1] [a.sub.i][x.sup.i] is k-order polynomial function, according to Theorem 10, we know that f([[xi].sub.n]) converges in p-distance to f([xi]).
The w.3rd-order polynomial function significantly improved the population and was successfully applied for classification of severe IFL.
Similar efficiency calibrations were conducted for the cylindrical container geometry and are shown in Figure 4.The efficiency fitting with IAEA/RGU-I, IAEA/RGTh-I, Merck reference materials was adopted a linear equation (Figure 4a), while other fitting with IAEA-375 reference material was adopted a third degree polynomial function with fitting coefficients of [a.sub.l]=0.0l03, [a.sub.2]=-15.0377 [a.sub.3]=11372.7 and [a.sub.4]=-2.08x[10.sub.6] (Figure 4b).
Four displacement laws were analyzed: a 4-5-6-7 polynomial function, a harmonic function, and two VAP functions with two different values of the smoothness parameter.
Using this formula for f = [T.sub.k](x[).sup.k-1]/(k - 1)!, we see that the first summand of the last line in the last displayed array of equations is a polynomial function of [T.sub.k] (x), that is, we have proved that
In this study, curve polynomial function has been selected as the analytical function.
According to the variance result, the function of Il was described by the 3rd order polynomial function. Equation (11) shows the general form of the 3rd order polynomial function
In order to accurately model the highly nonlinear behavior of the DUT which includes strong memory effects, the proposed models use a cascaded combination of a memory polynomial function with cross terms and a memoryless look-up table (LUT).
The operator can set output with user-defined 5th order polynomial function. The Model 4338 and CellView Lite enables the user to setup a test to start and/or stop automatically.