Symbols:Complex Analysis

Symbols used in Complex Analysis

Modulus

$\cmod z$

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

Then the (complex) modulus of $z$ is written $\cmod z$ and is defined as the square root of the sum of the squares of the real and imaginary parts:

$\cmod z := \sqrt {a^2 + b^2}$

The $\LaTeX$ code for \(\cmod z\) is \cmod z .

Complex Conjugate

$\overline z$

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

Then the (complex) conjugate of $z$ is denoted $\overline z$ and is defined as:

$\overline z := a - i b$

The $\LaTeX$ code for \(\overline z\) is \overline z .