binomialna

Binomialna is an adjective form used in several languages to refer to concepts related to two terms. In mathematics, binomial refers to expressions constructed from two terms, such as (a + b)^n. The expansion is governed by binomial coefficients, written C(n, k) or nCk, which count the number of ways to choose k items from n. They appear in Pascal's triangle and satisfy symmetry C(n, k) = C(n, n−k). The binomial theorem expresses the expansion: (x + y)^n = sum_{k=0}^n C(n, k) x^{n−k} y^k. Example: (x + y)^3 = x^3 + 3x^2 y + 3xy^2 + y^3.

In probability, the binomial distribution models the number of successes in n independent Bernoulli trials with success probability p. Its probability mass function is P(X = k) = C(n, k) p^k (1−p)^{n−k} for k = 0,...,n.

In biology, binomial nomenclature is the system of two-name species naming established by Carl Linnaeus. Each organism is described by a genus name and a species epithet, for example Homo sapiens. This two-term format provides a universal, multilingual way to reference species.

The term’s roots lie in Latin: bi- meaning two and nomen meaning name or term; the feminine form binomialna appears in some languages as an adjective agreeing with a feminine noun. See also binomial coefficient, binomial distribution, binomial nomenclature.