# polynomial

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## pol·y·no·mi·al

(pŏl′ē-nō′mē-əl)
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)
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)

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:
 Noun 1 polynomial - a mathematical function that is the sum of a number of termsmultinomialbiquadratic polynomial, quartic polynomial, biquadratic - a polynomial of the fourth degreehomogeneous polynomial - a polynomial consisting of terms all of the same degreemonic polynomial - a polynomial in one variablequadratic polynomial, quadratic - a polynomial of the second degreeseries - (mathematics) the sum of a finite or infinite sequence of expressionsmath, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangementfunction, 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"multinomial
Translations
polynom
polynomi
polynômepolynomial
polinom
polinomialepolinomio
polynompolynomiell

[ˌpɒlɪˈnəʊmɪəl]
B. N

nPolynom nt

## polynomial

[ˌpɒlɪˈnəʊmɪəl] npolinomio
References in periodicals archive ?
In [12] and [14], Lascoux and Schutzenberger introduced (double) Grothendieck polynomials indexed by permutations as representatives of K-theory classes of structure sheaves of Schubert varieties in a full flag variety.
Orthogonal Polynomials in MATLAB: Exercises and Solutions
This increases the numbers of equations and variables and the degrees of the polynomials in the multi-linear models that are required.
This article does not propose to discuss the origins of the method for long division of polynomials known to many as synthetic division, nor to discuss whether it should be known as Horner's method as ascribed to William Horner by Augustus De Morgan (Robertson & O'Connor, 2005) or as some cousin of the Chinese remainder theorem developed by Qin Jiushao (Joseph, 2011).
Thus it is of interest to find irreducible polynomials having a small number of trace-one elements in their polynomial bases.
This contribution is intended to describe the application of the value set concept in combination with the zero exclusion condition under robust D-stability framework adopted from [1] for analyzing robust stability of discrete-time polynomials with nonlinear uncertainty structure.
Proceeding steps computed a solution mod , based on straight forward translation to the root-finding numerical techniques used for speeding convergence to a real root for polynomials that started with a given solution having higher degree congruences.
We also give general forms of the flow, reliability, and chromatic polynomials of these graphs.
This result appears in [6], where it is proved that the Laurent polynomials of Hermite-Fejdr interpolation related to a continuous function on T uniformly converge to the function, with the nodal system constituted by the nth roots of some complex number with modulus one.
They cover unitary matrix ensembles, the Riemann-Hilbert problem for orthogonal polynomials, discrete orthogonal polynomials on an infinite lattice, introducing the six-vertex model, the Izergin-Korepin formula, the disordered phase, the anti-ferroelectric phase, the ferroelectric phase, and between the phases.
The associated Schur polynomials represent geometric degeneracy loci while the power sum polynomials give Chern characters of the tautological bundle.
In this paper we present, with a pedagogical aim, a method to calculate the associated Legendre functions and polynomials.

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