Category:Definitions/Complex Addition

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

The addition operation in the domain of complex numbers $\C$ is written $+$.

Let $z = a + i b, w = c + i d$ where $a, b, c, d \in \R, i^2 = -1$.

Then $z + w$ is defined as:

$\paren {a + i b} + \paren {c + i d} = \paren {a + c} + i \paren {b + d}$