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 complex_conjugate_of_a_complex_number [2013/08/06 21:23]nikolaj complex_conjugate_of_a_complex_number [2014/03/21 11:11] (current) Both sides previous revision Previous revision 2013/08/07 13:04 nikolaj 2013/08/06 21:23 nikolaj 2013/08/06 21:13 nikolaj created Next revision Previous revision 2013/08/07 13:04 nikolaj 2013/08/06 21:23 nikolaj 2013/08/06 21:13 nikolaj created Line 1: Line 1: ===== Complex conjugate of a complex number ===== ===== Complex conjugate of a complex number ===== - ==== Definition ​==== + ==== Set ==== - | @#88DDEE: $z\equiv a+i\ b\in \mathbb C$ | @#88DDEE: $a,b\in\mathbb ​R$ | + | @#55CCEE: context ​    | @#55CCEE: $X\subseteq\mathbb ​C$ - | @#55EE55: $\overline z\equiv a-i\ b$ | + | @#55EE55: postulate ​  | @#55EE55: $\mathrm{conj}:​X\to \mathbb C$ | + | $a+i\ b\in X$ | $a,b\in \mathbb R$ | + + | @#55EE55: postulate ​  | @#55EE55: $\mathrm{conj}(a+i\ b):= a-i\ b$ | ==== Ramifications ==== ==== Ramifications ==== - ==== Context ​==== + If $z\in \mathbb C$, one writes $\overline z\equiv\mathrm{conj}(z)$. - === Parents ​=== + ==== Parents ​==== + === Related ​=== [[Complex number]] [[Complex number]]