===== Complex number =====
==== Set ====
| @#FFBB00: definiendum | @#FFBB00: $ \mathbb C \equiv \mathbb R^2 $ |
==== Discussion ====
We write the complex numbers as $a+ib\equiv\langle a,b\rangle$, where $a,b\in\mathbb R$. The complex numbers are then set up as a [[field]] with $i^2=-1$, see [[arithmetic structure of complex numbers]]. We identify the real numbers within $\mathbb C$ as the set of elements of the form $\langle a,0\rangle=a+i0=a$.
=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Complex_number|Complex number]]
==== Parents ====
=== Subset of ===
[[Real coordinate space]]