binomial expression

  • 1binomial distribution — Statistics. a distribution giving the probability of obtaining a specified number of successes in a finite set of independent trials in which the probability of a success remains the same from trial to trial. Also called Bernoulli distribution.… …

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  • 2binomial —   a. having two names, especially of scientific nomenclature giving two names, genus and species, to each species; Math., composed of two algebraic terms joined by + or .    ♦ binomial theorem, formula for finding any power of a binomial… …

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  • 3Binomial — 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. [1913… …

    The Collaborative International Dictionary of English

  • 4binomial — ► NOUN 1) Mathematics an algebraic expression of the sum or the difference of two terms. 2) Biology the two part Latin name of a species (the genus followed by the species name). ► ADJECTIVE ▪ consisting of two terms. ORIGIN from Latin bi having… …

    English terms dictionary

  • 5binomial — [bī nō′mē əl] n. [< ModL binomium < LL binomius < L bi , BI 1 + Gr nomos, law (see NOMY) + AL] 1. a mathematical expression consisting of two terms connected by a plus or minus sign 2. a two word scientific name of a plant or animal,… …

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  • 6Binomial theorem — The binomial coefficients appear as the entries of Pascal s triangle. In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the power… …

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  • 7Binomial coefficient — The binomial coefficients can be arranged to form Pascal s triangle. In mathematics, binomial coefficients are a family of positive integers that occur as coefficients in the binomial theorem. They are indexed by two nonnegative integers; the… …

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  • 8Binomial distribution — Probability distribution name =Binomial type =mass pdf cdf Colors match the image above parameters =n geq 0 number of trials (integer) 0leq p leq 1 success probability (real) support =k in {0,dots,n}! pdf ={nchoose k} p^k (1 p)^{n k} ! cdf =I {1… …

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  • 9binomial theorem — Math. the theorem giving the expansion of a binomial raised to any power. [1865 70] * * * In algebra, a formula for expansion of the binomial (x + y) raised to any positive integer power. A simple case is the expansion of (x + y)2, which is x2 +… …

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  • 10binomial — n. & adj. n. 1 an algebraic expression of the sum or the difference of two terms. 2 a two part name, esp. in taxonomy. adj. consisting of two terms. Phrases and idioms: binomial classification a system of classification using two terms, the first …

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