In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers. Functions were originally the idealization of how a varying quantity depends on another quantity. For example, the position of a planet is a function of time. Historically, the concept was elaborated with the infinitesimal calculus at the end of the 17th century, and, until the 19th century, the functions that were considered were differentiable. The concept of a function was formalized at the end of the 19th century in terms of set theory, and this greatly enlarged the domains of application of the concept. A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y, the codomain of the function.

## About F(x)

Group that was formed by S.M. Entertainment in 2009. They were the first K-pop group to perform at SXSW in 2013 due to their experimental and eclectic sound.

## Achievement of F(x)

Their first headlining tour was Dimension 4 - Docking Station in 2016. Their second album Pink Tape was the lone K-pop album featured on Fuse's '41 Best Albums of 2013.'

## Top Facts You Did Not Know About F(x)

Implicit function - In mathematics, an implicit equation is a relation of the form R = 0, where R is a function of several variables. For example, the implicit equation of the unit circle is x² + y² − 1 = 0.. Higher-order function - In mathematics and computer science, a higher-order function is a function that does at least one of the following.... Homomorphism - In algebra, a homomorphism is a structure-preserving map between two algebraic structures of the same type. The word homomorphism comes from the ancient Greek language: ὁμός meaning"same" and μορφή meaning"form" or"shape".. Morphism - In mathematics, particularly in category theory, a morphism is a structure-preserving map from one mathematical structure to another one of the same type. The notion of morphism recurs in much of contemporary mathematics.. Distribution - Distributions, also known as Schwartz distributions or generalized functions, are objects that generalize the classical notion of functions in mathematical analysis. Distributions make it possible to differentiate functions whose derivatives do not exist in the classical sense.. Functor - In mathematics, specifically category theory, a functor is a mapping between categories. Functors were first considered in algebraic topology, where algebraic objects are associated to topological spaces, and maps between these algebraic objects are associated to continuous maps between spaces.. Basic concepts in set theory.. Elementary mathematics.