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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] |
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| - | ===== Complex conjugate of a complex number ===== | ||
| - | ==== Definition ==== | ||
| - | | @#88DDEE: $X\subseteq\mathbb C$ | ||
| - | | @#55EE55: $\mathrm{conj}:X\to \mathbb C$ | | ||
| - | |||
| - | | $a+i\ b\in X$ | $a,b\in \mathbb R$ | | ||
| - | |||
| - | | @#55EE55: $\mathrm{conj}(a+i\ b):= a-i\ b$ | | ||
| - | ==== Ramifications ==== | ||
| - | If $z\in \mathbb C$, one writes $\overline z\equiv\mathrm{conj}(z)$. | ||
| - | ==== Context ==== | ||
| - | === Parents === | ||
| - | [[Complex number]] | ||
