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 complex_conjugate_of_a_complex_number [2013/08/07 13:04]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 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: $X\subseteq\mathbb C$ + | @#55CCEE: context ​    | @#55CCEE: $X\subseteq\mathbb C$ - | @#55EE55: $\mathrm{conj}:​X\to \mathbb C$ | + | @#55EE55: postulate ​  | @#55EE55: $\mathrm{conj}:​X\to \mathbb C$ | | $a+i\ b\in X$ | $a,b\in \mathbb R$ | | $a+i\ b\in X$ | $a,b\in \mathbb R$ | - | @#55EE55: $\mathrm{conj}(a+i\ b):= a-i\ b$ | + | @#55EE55: postulate ​  | @#55EE55: $\mathrm{conj}(a+i\ b):= a-i\ b$ | ==== Ramifications ==== ==== Ramifications ==== If $z\in \mathbb C$, one writes $\overline z\equiv\mathrm{conj}(z)$. If $z\in \mathbb C$, one writes $\overline z\equiv\mathrm{conj}(z)$. - ==== Context ​==== + ==== Parents ​==== - === Parents ​=== + === Related ​=== [[Complex number]] [[Complex number]]