Definition:Complex Modulus/Also known as

Complex Modulus: Also known as
The (complex) modulus is also known as the complex absolute value, or just absolute value.

Others use that term only for the absolute value of a real number.

The notation $\bmod z$ is sometimes seen for $\cmod z$, but on $\cmod z$ is preferred.

Some linguistic purists object to the term complex modulus on the grounds that it is not the modulus itself which is complex.

Such schools of thought prefer the term modulus of a complex number.