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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) |
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===== 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]] |