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Binomial Distribution, 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 process *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 politics *Binomial voting system, a voting system used i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 sparse polynomial after the monomials. Definition A binomial is a polynomial which is the sum of two monomials. A binomial in a single indeterminate (also known as a univariate binomial) can be written in the form :a x^m - bx^n \,, where and are numbers, and and are distinct nonnegative integers and is a symbol which is called an indeterminate or, for historical reasons, a variable. In the context of Laurent polynomials, a ''Laurent binomial'', often simply called a ''binomial'', is similarly defined, but the exponents and may be negative. More generally, a binomial may be written as: :a x_1^\dotsb x_i^ - b x_1^\dotsb x_i^ Examples :3x - 2x^2 :xy + yx^2 :0.9 x^3 + \pi y^2 :2 x^3 + 7 Operations on simple binomials *The binomial can be factored as the product of two other binomials: :: x^2 - y^2 = (x - y)(x + y). :This is a special case of the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |