polynomial


Also found in: Thesaurus, Medical, Acronyms, Encyclopedia, Wikipedia.
Related to polynomial: degree of a polynomial, Polynomial equation

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 ?
which means that the computed roots are close to roots of a nearby polynomial, all in a relative element-wise sense.
Developers of the open-source software package Bertini explain how to use it to solve polynomial systems efficiently and to interpret the output correctly.
alpha]](x) is a homogeneous polynomial of degree [absolute value of [alpha]].
In mathematics, the Fibonacci polynomials are a polynomial sequence which can be considered as a generalization of the Fibonacci numbers.
These are challenging problems that commonly arise in geometric modelling and computer aided design, but they also have applications in polynomial optimization.
Now we will measure smoothness of approximation of continuous function f by the polynomial (4).
00 9,794,947 CF with response residuals First-degree polynomial (2SRI) -73.
An attempt to approximate the stability region in the polynomial coefficient space via reflection vector polytopes was made in [9,14].
Polynomial approximation is recommended, which is applied to the Natural Earth projection in the next section.
is called the independence polynomial of G, (Gutman and Harary, [14]), or the independent set polynomial of G (Hoede and Li, [18]).
The vectors in lattice can be represented as truncated polynomial [?