# Symbols:Complex Analysis

## Modulus

$\left|{z}\right|$

The modulus of the variable $z$, when $z \in \C$.

Let $z = a + i b$ be a complex number.

Then the (complex) modulus of $z$ is written $\left|{z}\right|$ and is defined as:

$\left|{z}\right| := \sqrt {a^2 + b^2}$

The LaTeX code for this is \left|{z}\right|.

See Set Operations and Relations, Arithmetic and Algebra and Abstract Algebra for alternative definitions of this symbol.