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The Collaborative International Dictionary
Binomial

Binomial \Bi*no"mi*al\, n. [L. bis twice + nomen name: cf. F. binome, LL. binomius (or fr. bi- + Gr. ? distribution ?). Cf. Monomial.] (Alg.) An expression consisting of two terms connected by the sign plus (+) or minus (-); as, a + b, or 7 - 3.

Binomial

Binomial \Bi*no"mi*al\, a.

  1. Consisting of two terms; pertaining to binomials; as, a binomial root.

  2. (Nat. Hist.) Having two names; -- used of the system by which every animal and plant receives two names, the one indicating the genus, the other the species, to which it belongs.

    Binomial theorem (Alg.), the theorem which expresses the law of formation of any power of a binomial.

Douglas Harper's Etymology Dictionary
binomial

1550s (n.); 1560s (adj.), from Late Latin binomius "having two personal names," a hybrid from bi- (see bi-) + nomius, from nomen (see name (n.)). Taken up 16c. in the algebraic sense "consisting of two terms."

Wiktionary
binomial

a. Consisting of two terms, or parts. n. 1 (context algebra English) A polynomial with two terms. 2 (context algebra English) A quantity expressed as the sum or difference of two terms. 3 (context biology taxonomy English) A scientific name at the rank of species, with two terms: a generic name and a specific name.

WordNet
binomial
  1. adj. relating to binomials; "binomial expression"

  2. consisting of two names or terms; "binomial nomenclature"

binomial

n. a quantity expressed as a sum or difference of two terms

Wikipedia
Binomial (polynomial)

In algebra, a binomial is a polynomial that is the sum of two terms, each of which is a monomial. It is the simplest kind of polynomial after the monomials.

Binomial

Binomial may refer to:

In mathematics:

  • Binomial (polynomial), a polynomial with two terms
  • Binomial coefficient, numbers appearing in the expansions of powers of binomials
  • Binomial QMF, a perfect-reconstruction orthogonal wavelet decomposition
  • Binomial theorem, a theorem about powers of binomials
  • Binomial type, a property of sequences of polynomials

In probability and statistics:

  • Binomial distribution, a type of probability distribution
  • Binomial test, a test of significance

In computing science:

  • Binomial heap, a data structure

In linguistics:

  • Binomial pair, a sequence of two or more words or phrases in the same grammatical category, having some semantic relationship and joined by some syntactic device

In biology:

  • Binomial nomenclature, a Latin two-term name for a species, such as Sequoia sempervirens

In finance:

  • Binomial options pricing model, a numerical method for the valuation of options

In personal names:

  • Binomial names, a system of names in which a personal name is joined by a hereditary surname, as used in Roman naming conventions

In politics:

  • Binomial voting system, a voting system used in the parliamentary elections of Chile between 1989 and 2013

See also:

  • List of factorial and binomial topics

Usage examples of "binomial".

Carolus, 1707-78, Swedish botanist and taxonomist, considered the founder of the binomial system of nomenclature and the originator of modern scientific classification of plants and animals.

Adams, who was not really sure at all, and he went on his way reflecting that wonders would never cease, and that if Old Binomial was going to appear, he would certainly not miss the play for anything, as it was sure to yield a few good unintentional laughs.

And yet, Holmes went on to explain, this same man was immune to suspicion, a respected mathematics professor in fact, and the celebrated author of a brilliant treatise on the binomial theorem as well as of The Dynamics of an Asteroid, a book of rarefied scientific scholarship much ahead of its time.

He kept the name as a convenience and, under it, published two treatises, on the binomial theorem and small planetary bodies, which drew on future knowledge.

I want him to yadder childishly to me about the binomial theorem after breakfast.

I once believed, back when I also believed both Moriarty and I to be human, that the professor possessed a keen interest in binomials.

The hardest one somebody gave me was the binomial coefficient of x10 in (1 + x)20.

Bernoulli's Theorem, the Bayes-Laplace theorem, the Poisson Distribution, Negative Binomial Distribution .

Suffice it that Poisson was a mathematician and that Poisson's frequency distribution is a good approximation to the binomial distribution as the number of trials increases and probability of success in a single trial is small.

It was full of numbers: a table for binomial distribution of coin-tossing probabilities, with x as the probability of throwing n heads, divided by the probability of throwing an equal number of heads and tails.

I can't recommend direct analysis using the binomial expansion without pre-computa-tion, even using Pascal's triangle -- the figures are incredibly astronomical!

I can't recommend direct analysis using the binomial expansion without pre-computa-tion, even using Pascal's triangle - the figures are incredibly astronomical!

And still these men had asked nothing about the binomial theorem or the method of fluxions as the basis of calculus, and they had laughed at his codification of the quantitative laws of universal dynamics.

If there's a formula - some binomial theorem or quadratic equation or something like that - I don't see it.

Linnaeus, Carolus, 1707-78, Swedish botanist and taxonomist, considered the founder of the binomial system of nomenclature and the originator of modern scientific classification of plants and animals.