# Category:Simple Functions

Jump to navigation
Jump to search

This category contains results about Simple Functions.

Let $\left({X, \Sigma}\right)$ be a measurable space.

A real-valued function $f: X \to \R$ is said to be a **simple function** if and only if it is a finite linear combination of characteristic functions:

- $\displaystyle f = \sum_{k \mathop = 1}^n a_k \chi_{S_k}$

where $a_1, a_2, \ldots, a_n$ are real numbers and each of the sets $S_k$ is $\Sigma$-measurable.

## Pages in category "Simple Functions"

The following 3 pages are in this category, out of 3 total.