binomial theorem

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binomial theorem

n. Mathematics
The theorem that specifies the expansion of any power (a + b)m of a binomial (a + b) as a certain sum of products aibj, such as (a + b)2 = a2 + 2ab + b2.

binomial theorem

n
(Mathematics) a mathematical theorem that gives the expansion of any binomial raised to a positive integral power, n. It contains n + 1 terms: (x + a)n = xn + nxn1a + [n(n–1)/2] xn2a2 +…+ (nk) xnkak + … + an, where (nk) = n!/(n–k)!k!, the number of combinations of k items selected from n

bino′mial the′orem


n.
the theorem giving the expansion of a binomial raised to any power.
[1865–70]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.binomial theorem - a theorem giving the expansion of a binomial raised to a given power
statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
probability theory, theory of probability - the branch of applied mathematics that deals with probabilities
theorem - a proposition deducible from basic postulates
References in periodicals archive ?
For consistency of notation, let us replace b with e and our binomial formula becomes simply:
We count backward from the end and calculate, in every node, the value by using the binomial formula for one period and subtracting the value of the investment.
by the Binomial Formula for 1 / [square root of] 1 - x evaluated at x = 1/2.