lnY

lny is a shorthand used in mathematics, programming, and other disciplines to denote the natural logarithm of a variable y. The natural logarithm is the logarithm with base e, where e is approximately 2.71828. Thus lny = log_e(y) and is related to exponential functions by the inverse relationship: if y = e^x, then x = lny.

In mathematics, the domain of lny is y > 0. The derivative with respect to y is 1/y, and the integral is ∫ (1/y) dy = ln|y| + C. The natural logarithm satisfies change-of-base formula, log_b(y) = lny / ln b for any base b > 0, b ≠ 1. It is monotone increasing on its domain, approaches negative infinity as y approaches 0 from the right, and grows without bound as y increases.

lny appears in many contexts, including calculus, statistics (as a log-likelihood component), and growth models. In computing and software, lny or ln(y) is used as a function name or operator depending on the language.

Beyond mathematics, the string "lny" may be used as an acronym, code, or identifier in various organizations, datasets, or projects. Its meaning in any given instance depends on the surrounding context.

See also: natural logarithm, logarithm, exponent.