Symbols:Complex Analysis

Modulus
$$\left|{z}\right|$$

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

Let $$z = a + \imath b$$ be a complex number.

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

$$\left|{z}\right| \ \stackrel {\mathbf {def}} {=\!=} \ \sqrt {a^2 + b^2}$$.

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.