Category:Complex Multiplication

This category contains results about Complex Multiplication.
Definitions specific to this category can be found in Definitions/Complex Multiplication.

The multiplication operation in the domain of complex numbers $\C$ is written $\times$.

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

Then $z \times w$ is defined as:

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