polynomial

Noun · Adjective
Synonyms: multinomial

WordNet 3.0

Noun (1)

  1. a mathematical function that is the sum of a number of termsSynonyms: multinomial

Adjective (1)

  1. having the character of a polynomial“a polynomial expression”Synonyms: multinomial
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Webster's Dictionary (GCIDE)

Polynomial \Pol`y*no"mi*al\, n. [Poly- + -nomial, as in monomial, binomial: cf. F. polyn[^o]me.] (Alg.) An expression composed of two or more terms, connected by the signs plus or minus; as, a^2 - 2ab + b^2. [1913 Webster]

Polynomial \Pol`y*no"mi*al\, a.

1.Containing many names or terms; multinominal; as, the polynomial theorem. [1913 Webster]

2.Consisting of two or more words; having names consisting of two or more words; as, a polynomial name; polynomial nomenclature. [1913 Webster]

Free On-line Dictionary of Computing

polynomial

1.<mathematics> An arithmetic expression composed by summing multiples of powers of some variable.

P(x) = sum a_i x^i for i = 0 .. N

The multipliers, a_i, are known as "coefficients" and N, the highest power of x with a non-zero coefficient, is known as the "degree" of the polynomial. If N=0 then P(x) is constant, if N=1, P(x) is linear in x. N=2 gives a "quadratic" and N=3, a "cubic".

2.<complexity> polynomial-time.

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