Definition:Octonion/Addition

Definition
The sum of two octonions $x=\left({a, b}\right)$ and $y=\left({c, d}\right)$ where $a, b, c, d \in \mathbb H$ are quaternions is defined as:


 * $x + y = \left({a, b}\right) + \left({c, d}\right) = \left({a + c, b + d}\right)$