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Binomial may refer to:


In mathematics

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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 binom ...
, a polynomial with two terms *
Binomial coefficient In mathematics, the binomial coefficients are the positive integers that occur as coefficients in the binomial theorem. Commonly, a binomial coefficient is indexed by a pair of integers and is written \tbinom. It is the coefficient of the t ...
, numbers appearing in the expansions of powers of binomials *
Binomial QMF A binomial QMF – properly an orthonormal binomial quadrature mirror filter – is an orthogonal wavelet developed in 1990. The binomial QMF bank with perfect reconstruction (PR) was designed by Ali Akansu, and published in 1990, using the family ...
, a perfect-reconstruction orthogonal wavelet decomposition *
Binomial theorem In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial. According to the theorem, it is possible to expand the polynomial into a sum involving terms of the form , where the ...
, a theorem about powers of binomials *
Binomial type In mathematics, a polynomial sequence, i.e., a sequence of polynomials indexed by non-negative integers \left\ in which the index of each polynomial equals its degree, is said to be of binomial type if it satisfies the sequence of identities :p_n ...
, a property of sequences of polynomials


In probability and statistics

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Binomial distribution In probability theory and statistics, the binomial distribution with parameters ''n'' and ''p'' is the discrete probability distribution of the number of successes in a sequence of ''n'' independent experiments, each asking a yes–no quest ...
, a type of probability distribution *
Binomial process A binomial process is a special point process in probability theory. Definition Let P be a probability distribution and n be a fixed natural number. Let X_1, X_2, \dots, X_n be i.i.d. random variables with distribution P , so X_i \sim P ...
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Binomial test In statistics, the binomial test is an exact test of the statistical significance of deviations from a theoretically expected distribution of observations into two categories using sample data. Usage The binomial test is useful to test hypoth ...
, a test of significance


In computing science

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Binomial heap In computer science, a binomial heap is a data structure that acts as a priority queue but also allows pairs of heaps to be merged. It is important as an implementation of the mergeable heap abstract data type (also called meldable heap), which ...
, a data structure


In linguistics

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Binomial pair In linguistics and stylistics, an irreversible binomial, frozen binomial, binomial freeze, binomial expression, binomial pair, or nonreversible word pair is a pair or group of words used together in fixed order as an idiomatic expression or co ...
, 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

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Binomial nomenclature In taxonomy, binomial nomenclature ("two-term naming system"), also called nomenclature ("two-name naming system") or binary nomenclature, is a formal system of naming species of living things by giving each a name composed of two parts, bot ...
, a Latin two-term name for a species, such as ''Sequoia sempervirens''


In finance

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Binomial options pricing model In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. Essentially, the model uses a "discrete-time" ( lattice based) model of the varying price over time of the underlying f ...
, a numerical method for the valuation of options


In politics

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


See also

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List of factorial and binomial topics {{Short description, none This is a list of factorial and binomial topics in mathematics. See also binomial (disambiguation). * Abel's binomial theorem * Alternating factorial *Antichain *Beta function *Bhargava factorial *Binomial coefficient **P ...
{{Disambig