# polynomial

## Definitions

• WordNet 3.6
• adj polynomial having the character of a polynomial "a polynomial expression"
• n polynomial a mathematical function that is the sum of a number of terms
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Webster's Revised Unabridged Dictionary
• n Polynomial (Alg) An expression composed of two or more terms, connected by the signs plus or minus; as, a2 - 2ab + b2 .
• Polynomial Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature.
• Polynomial Containing many names or terms; multinominal; as, the polynomial theorem.
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Century Dictionary and Cyclopedia
• polynomial Containing many names or terms.
• polynomial In Zoöl. and botany, Specifically, noting a method of nomenclature in which the technical names of species are not confined to two terms, the generic and the specific, as they are in the binomial system of nomenclature: as, a polynomial name; a polynomial system of nomenclature: contrasted with binomial and mononomial.
• polynomial Also multinomial, plurinominal.
• polynomial A technical name consisting of more than two terms; a-polyonym.
• polynomial An algebraical expression consisting of two or more terms united by addition: as, Also multinomial.
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Chambers's Twentieth Century Dictionary
• n Polynomial pol-i-nō′mi-al an algebraic quantity of many names or terms—same as multinomial—also Pol′ynome
• adj Polynomial of many names or terms
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## Etymology

Webster's Revised Unabridged Dictionary
Poly-, + -nomial, as in monomial, binomial,: cf. F. polynôme,

## Usage

### In literature:

It is practically identical with that of finding the greatest common measure of two polynomials.
"Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 2" by Various
She evidently understood Arbogast's polynomial theorem better than I did.
"The Hearth-Stone" by Samuel Osgood
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### In news:

The formulas are based on quadratic polynomials for the construction of derivative continuous surfaces rather than on the cubic polynomials generally used.
In this paper we present polynomial-time algorithms that translate First-Order Logic (FOL) theories to smaller propositional encodings than achievable before in polynomial time.
Tong Zhang, Keshab K Parhi, "Systematic Design of Original and Modified Mastrovito Multipliers for General Irreducible Polynomials," IEEE Transactions on Computers, vol 50, no.
Sensitivity analysis of Markovian models amounts to computing the constants in polynomial functions of a parameter under study.
The story so far In Part 1 we took a regular FIR filter design and wrote down the filter coefficients in polynomial form to get equation.
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### In science:

In this interpretation, generalized polynomials P (x, ξ ) are represented by families aεγ (x)ξ γ (cid:17)ε (Pε (x, ξ ))ε = (cid:16) X|γ |≤m Sometimes it will also be useful to regard polynomials as polynomial functions and hence as elements of G (Ω × Rn ).
Elliptic regularity and solvability for partial differential equations with Colombeau coefficients
So choosing zero Cauchy data on {z = 0} one obtains a polynomial solution in z with polynomial coeﬃcients, hence a polynomial.
KIDs are non-generic
We conclude this section with some remarks about the relationship between the Tutte polynomial of a semimatroid C , the Tutte polynomials of its associated triple ( eN , N , M ), and the Tutte polynomial of the dual semimatroid C ∗ .
Semimatroids and their Tutte polynomials
He found polynomials {Γn}n , which were shown to be shifted Chebyshev polynomials, such that the random variables {Tr(Γn (X )}n are asymptotically Gaussian and independent in the large N limit; that is the polynomials {Γn}n diagonalize asymptotically the covariance.
Orthogonal Polynomials and Fluctuations of Random Matrices
Furthermore P (z), the leading polynomial of Rm , is a product of a Pisot polynomial (with Pisot number θ as its root, say), a power of z , and perhaps a cyclotomic polynomial.
Salem numbers, Pisot numbers, Mahler measure and graphs
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