funksies

Funksies is the Afrikaans term for functions. In mathematics, computer science, and everyday language, it denotes a relation between inputs and outputs or the role performed by an object or system. The word derives from the Dutch woord functie, which in turn comes from Latin functio.

In mathematics, a function f from a set X to a set Y assigns to each element x in X exactly one element y in Y. The domain is X and the codomain is Y. Notation f: X -> Y is common. Functions can be represented by formulas, tables, or graphs; they may be characterized as total (defined for all x in X) or partial. Additional properties include being injective, surjective, or bijective. Functions can be composed: if f: X -> Y and g: Y -> Z, then g ∘ f: X -> Z is a function.

In computer science, a function is a reusable block of code that takes parameters, performs a task, and returns a value. Functions may be pure (no side effects) or impure. Higher-order functions take other functions as inputs or return them as results. In many languages, functions are first-class citizens, enabling techniques such as recursion and closures.

Beyond mathematics and programming, the concept of a function appears in logic, statistics, and information theory as a way of describing how inputs relate to outputs or how a system operates. In everyday language, funksies can refer to the purposes or roles of devices, organizations, or procedures.

Examples: f(x) = x^2 maps real numbers to real numbers; a programming example: def add(a, b): return a + b.