Category:Field Norm of Complex Number

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This category contains results about Field Norm of Complex Number.

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

Then the field norm of $z$ is written $\map N z$ and is defined as:

$\map N z := \cmod \alpha^2 = a^2 + b^2$

where $\cmod \alpha$ denotes the complex modulus of $\alpha$.