(probability theory, statistics) The discrete probability distribution of the number of successes in a sequence of n independent trials, each of which yields success with probability p.

(taxonomy) A scientific name at the rank of species, with two terms: a generic name and a specific name.

(taxonomy) The scientific system of naming each species of organism with a Latinized name in two parts; the first is the genus, and is written with an initial capital letter; the second is some specific epithet that distinguishes the species within the genus. By convention, the whole name is typeset in italics. The genus part is often abbreviated to its initial letter e.g. H. sapiens for Homo sapiens

(mathematics) A formula giving the expansion of a binomial such as (a+b) raised to any positive integer power, i.e. (a+b)ⁿ. It's possible to expand the power into a sum of terms of the form axᵇyᶜ where the coefficient of each term is a positive integer. For example:

(mathematics) The Maclaurin series expansion of the function f(x) = (1 + x)^α, for arbitrary complex α; the series ∑ₖ₌₀ ᪲𝛼 choose kxᵏ, where 𝛼 choose k=(𝛼(𝛼-1)(𝛼-2)…(𝛼-k+1))/(k!).

(statistics) A discrete probability distribution of the number of successes in a sequence of independent and identically distributed Bernoulli trials before a specified (non-random) number of failures (denoted r) occurs.

plural of negative binomial distribution