# 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 ?
(2) The numbers [z.sub.n] either are real or else occur as complex conjugate pares in the set [{[z.sub.n]}.up.2J-1.sub.n=1] of roots of the real polynomial (57).
Also, recent advances on the real polynomial Bohnenblust--Hille inequality (see, e.g., [22,36]), combined with the CHSH inequality (due to Clauser, Horne, Shimony, and Holt in the late 1960's), can be employed in the proof of Bell's theorem, which states that certain consequences of entanglement in quantum mechanics cannot be reproduced by local hidden variable theories.
If K is a standard C-Z kernel and the CZ singular integral operator T is of type ([L.sup.2] ([R.sup.n]), [L.sup.2]([R.sup.n])), then for any real polynomial P(x, y) and w [member of] [A.sub.p] (1 < p < [infinity]), there exists constants C > 0 independent of the coefficients of P such that [mathematical expression not reproducible].
The main ingredient in [14] for finding zeros of a quaternionic polynomial of degree n is a real polynomial of degree 2n, which is called companion polynomial by the authors of [14], and is denoted by q.
Constructed in the same way, these possible polynomials are equally likely; thus, there is absolutely nothing the opponent can deduce about the real polynomial [f.sub.j](x).
For example, just like a real polynomial equation f(x) = 0 of degree n has at most n real roots, a real non-degenerate polynomial differential system (1.1) of degree n has at most [n.sup.2] real finite singular points, i.e.
In addition, by Proposition 5, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] is a real polynomial and [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Let H(x, y) be a real polynomial of degree n, and let P(x, y) and Q(x, y) be two different real polynomials of degree m, respectively.
Algorithm 493: Zeros of a Real Polynomial. ACM Transactions on Mathematical Software 1(2), 178-189.

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