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complex_conjugate_of_a_fuction [2013/09/06 22:04] 127.0.0.1 external edit |
complex_conjugate_of_a_fuction [2013/09/06 23:17] nikolaj |
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===== Complex conjugate of a function ===== | ===== Complex conjugate of a function ===== | ||
==== Definition ==== | ==== Definition ==== | ||
- | | @#88DDEE: $f:X\to Y$ | @#88DDEE: $Y\subseteq\mathbb C$ | | + | | @#88DDEE: $f:X\to\mathbb C$ | |
- | | @#55EE55: $ \overline f:X\to Y $ | | + | | @#FFBB00: $ \overline f:X\to\mathbb C$ | |
- | | @#55EE55: $ \overline f(x):=\overline{f(x)} $ | | + | | @#FFBB00: $ \overline f(x):=\overline{f(x)} $ | |
==== Ramifications ==== | ==== Ramifications ==== | ||
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$\overline f\equiv \mathrm{conj}\circ f$ | $\overline f\equiv \mathrm{conj}\circ f$ | ||
==== Parents ==== | ==== Parents ==== | ||
- | === Equivalent to === | + | === Requirements === |
[[Complex conjugate of a complex number]] | [[Complex conjugate of a complex number]] |