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complex_number [2014/01/29 19:07]
nikolaj
complex_number [2014/04/01 19:14]
nikolaj
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 ===== Complex number ===== ===== Complex number =====
 ==== Set ==== ==== Set ====
-| @#FFBB00: $ \mathbb C \equiv \mathbb R^2 $ |+| @#FFBB00: definiendum ​| @#FFBB00: $ \mathbb C \equiv \mathbb R^2 $ |
 ==== Discussion ==== ==== 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 $\langle a,​0\rangle=a+i0=a$. 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 $\langle a,​0\rangle=a+i0=a$.
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 === Subset of === === Subset of ===
 [[Real coordinate space]] [[Real coordinate space]]
-=== Element of === 
-[[Set]] 
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