polynomial

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Related to Polynomial function: rational function

pol·y·no·mi·al

 (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

(ˌpɒlɪˈnəʊmɪəl)
adj
of, consisting of, or referring to two or more names or terms. Also called: multinominal
n
1. (Mathematics)
a. a mathematical expression consisting of a sum of terms each of which is the product of a constant and one or more variables raised to a positive or zero integral power. For one variable, x, the general form is given by: a0xn + a1xn–1 + … + an–1x + an, where a0, a1, etc, are real numbers
b. Also called: multinomial any mathematical expression consisting of the sum of a number of terms
2. (Biology) biology a taxonomic name consisting of more than two terms, such as Parus major minor in which minor designates the subspecies

pol•y•no•mi•al

(ˌpɒl əˈnoʊ mi əl)

adj.
1. consisting of or characterized by two or more names or terms.
n.
2. an algebraic expression consisting of the sum of two or more terms.
3. a polynomial name or term.
4. a species name containing more than two terms.
[1665–75]

pol·y·no·mi·al

(pŏl′ē-nō′mē-əl)
An algebraic expression that is represented as the sum of two or more terms. The expressions x2 - 4 and 5x4 + 2x3 - x + 7 are both polynomials.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.polynomial - a mathematical function that is the sum of a number of terms
biquadratic polynomial, quartic polynomial, biquadratic - a polynomial of the fourth degree
homogeneous polynomial - a polynomial consisting of terms all of the same degree
monic polynomial - a polynomial in one variable
quadratic polynomial, quadratic - a polynomial of the second degree
series - (mathematics) the sum of a finite or infinite sequence of expressions
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
function, mapping, mathematical function, single-valued function, map - (mathematics) a mathematical relation such that each element of a given set (the domain of the function) is associated with an element of another set (the range of the function)
Adj.1.polynomial - having the character of a polynomial; "a polynomial expression"
Translations
polynom
polynomi
polynômepolynomial
polinom
polinomialepolinomio
polynompolynomiell

polynomial

[ˌpɒlɪˈnəʊmɪəl]
A. ADJpolinomio
B. Npolinomio m

polynomial

adjpolynomisch
nPolynom nt

polynomial

[ˌpɒlɪˈnəʊmɪəl] npolinomio
References in periodicals archive ?
The change in EBV during consecutive parities showed as a polynomial function with the relatively high coefficient of determination (0.
The efficiency fitting curve for the point source geometry (Figure 2b) at the linear scale was well adopted a third degree polynomial function to fit the efficiency to the energy:
As case studies, four disc cams with radial roller follower mechanisms are considered; the displacement motions used are: i) a 4-5-6-7 polynomial function, ii) a harmonic function, and ii) two VAP functions with b = 0.
we see that the first summand of the last line in the last displayed array of equations is a polynomial function of [T.
Considering the distribution of the reference stations and the dimensions of the study area, Equation (1) can be defined for the curve polynomial function.
A solution for optimally fitting the crater SFD was described based on the idea of using a polynomial function to fit the SFD data in the log-log space, i.
We name this polynomial function the smooth mapping.
n] will be taken as the polynomial field over variables in x with the highest degree of m, and a polynomial function p([?
It is well known [2, 3, 6] that the number of proper -flows does not depend on the structure of the group, but rather only on its cardinality, and this number is a polynomial function of h that we refer to as the flow polynomial.
The higher order of polynomial function may result in the higher goodness of fit (R2) value but the curve may result in overfitting behaviour.
The described property signals that it is evidently not possible to approximate the dependence in question (equivalently, the shape of the isotherms of surface active films) using one universal polynomial function, even for one location of the world ocean.
The operator can set output with user-defined 5th order polynomial function.