# Definition:Norm of Complex Number

This page has been proposed for deletion. In particular: Because there is more than one function $f: \C \times \C \to \R$ which can be demonstrated to be "a norm", it is confusing and misleading (if not incorrect) to use this definition to be identified as the norm. Until this whole area has been tidied up and properly structured, it is recommended that this be deleted. |

## Definition

Let $z = a + i b$ be a complex number, where $a, b \in \R$.

Then the **norm of $z$** is written $N \paren z$ and is defined as:

- $N \paren z := a^2 + b^2$