Category:Definitions/Complex Modulus

This category contains definitions related to Complex Modulus.
Related results can be found in Category:Complex Modulus.

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:

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