Definition:Complex Modulus/Also known as

Complex Modulus: Also known as
The (complex) modulus is also known as the 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.

It is to be noted that the term complex modulus is technically inaccurate, on the grounds that it is not the modulus itself which is complex.

However, it has been chosen for for its relative ambiguity when distinguishing it from other uses of the term modulus.

Most sources prefer instead the term modulus of a complex number, which, while accurate and unambiguous, is more unwieldy and cumbersome than complex modulus.