Functional Analysis

Overview


Set Theory Definition

Arity


Arity refers to the number of arguments in a function.

Unary
{% f(x) %}
Binary A two place function is a function with two variables.
{% f(x_1,x_2) %}
Binary functions form the core of algebra. (The common examples of binary functions being addition and multiplication).

N-Arity
{% f(x_1,x_2, ... ,x_n) %}
In computer science, n-arity functions are often recast as unary functions in one of two ways

  • as a function of a single ordered pair
  • as a curried function

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