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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) |
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===== 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]] |