(mathematics) Alternative spelling of homogeneous function

(mathematical analysis) Any smooth (infinitely differentiable) function f, defined on an open set D⊆ℂ( textit or⊆ℝ), whose value in some neighbourhood of any given point x_0∈D is given by the Taylor series ∑ₙ₌₀ ᪲(f⁽ⁿ⁾(x_0))/(n!)(x-x_0)ⁿ.

(mathematics) A transformation of the complex plane associated with fluid flow / (physics) The equation used to express Helmholtz free energy

(mathematics) Any function (polynomial) whose greatest exponent is 3.

A condition or capability that a system, person or object has to satisfy, fulfill or comply with. / (computing) Any of the functions of a software system, described formally.

(mathematics) Any of a class of functions that are solutions to a particular form of differential equation (a Bessel equation) and are typically used to describe waves in a cylindrically symmetric system.

(mathematics) Any of class of special functions, usually denoted as two pairs of functions berₙ(x), beiₙ(x), kerₙ(x) and keiₙ(x) with variable x and given order number n. The former two functions berₙ(x) and beiₙ(x) respectively correspond to the real part and the imaginary part of the Kelvin differential equation's solution that can be expressed with the Bessel function of the first kind Jₙ(x), and the latter kerₙ(x) and keiₙ(x) correspond to those that can be expressed with the modified Bessel function of the second kind Kₙ(x).

(mathematics) a function of the type f:V⨯V→V, or more generally, a function of the type f:U_1⨯U_2⨯...⨯U_n→V in which exactly two of the sets Uᵢ are equal to V.

A work that can be considered to be of practical use, such as software, encyclopedias, dictionaries and textbooks; it has no point of view and is non-fiction.

Any fresh or processed food claimed to have a health-promoting and/or disease-preventing property beyond the basic function of supplying nutrients