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real_part_of_a_function [2013/08/18 20:18] nikolaj created |
real_part_of_a_function [2013/09/05 19:29] nikolaj |
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===== Real part of a function ===== | ===== Real part of a function ===== | ||
==== Definition ==== | ==== Definition ==== | ||
- | | @#88DDEE: $f:X\to Y$ | @#88DDEE: $Y\subseteq\mathbb C$ | | + | | @#88DDEE: $f:X\to \mathbb C$ | |
- | | @#55EE55: $ \mathrm{Re}f:X\to Y $ | | + | | @#FFBB00: $ \mathrm{Re}f:X\to\mathbb C $ | |
- | | @#55EE55: $ (\mathrm{Re}f)(x):=\mathrm{Re}(f(x)) $ | | + | | @#FFBB00: $ (\mathrm{Re}f)(x):=\mathrm{Re}(f(x)) $ | |
==== Ramifications ==== | ==== Ramifications ==== |