# Differences

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 function_integral [2015/06/20 16:16]nikolaj function_integral [2015/06/20 16:17] (current)nikolaj Both sides previous revision Previous revision 2015/06/20 16:17 nikolaj 2015/06/20 16:16 nikolaj 2014/03/21 11:11 external edit2013/09/20 09:26 nikolaj 2013/09/06 22:04 external edit2013/09/05 00:23 nikolaj 2013/09/04 18:34 nikolaj 2013/08/21 14:27 nikolaj 2013/08/18 20:28 nikolaj 2013/08/18 20:28 nikolaj 2013/08/18 20:23 nikolaj 2013/08/18 20:19 nikolaj 2013/08/18 20:19 nikolaj created 2015/06/20 16:17 nikolaj 2015/06/20 16:16 nikolaj 2014/03/21 11:11 external edit2013/09/20 09:26 nikolaj 2013/09/06 22:04 external edit2013/09/05 00:23 nikolaj 2013/09/04 18:34 nikolaj 2013/08/21 14:27 nikolaj 2013/08/18 20:28 nikolaj 2013/08/18 20:28 nikolaj 2013/08/18 20:23 nikolaj 2013/08/18 20:19 nikolaj 2013/08/18 20:19 nikolaj created Line 3: Line 3: | @#55CCEE: context ​    | @#55CCEE: $\mathbb K = \overline{\mathbb R}\lor \mathbb C$ | | @#55CCEE: context ​    | @#55CCEE: $\mathbb K = \overline{\mathbb R}\lor \mathbb C$ | | @#55CCEE: context ​    | @#55CCEE: $\langle X,​\Sigma,​\mu\rangle\in \mathrm{MeasureSpace}(X)$ | | @#55CCEE: context ​    | @#55CCEE: $\langle X,​\Sigma,​\mu\rangle\in \mathrm{MeasureSpace}(X)$ | - | @#FFBB00: definiendum | @#FFBB00: $\int_X: (X\to \mathbb K)\to \mathbb K$ | | @#FFBB00: definiendum | @#FFBB00: $\int_X: (X\to \mathbb K)\to \mathbb K$ | | @#FFBB00: definiendum | @#FFBB00: $\int_X\ f\ \mathrm d\mu:​=\int_X\ (\mathrm{Re}f)^+\ \mathrm d\mu-\int_X\ (\mathrm{Re}f)^-\ \mathrm d\mu+i\ \left( \int_X\ (\mathrm{Im}f)^+\ \mathrm d\mu-\ \int_X\ (\mathrm{Im}f)^-\ \mathrm d\mu \right)$ | | @#FFBB00: definiendum | @#FFBB00: $\int_X\ f\ \mathrm d\mu:​=\int_X\ (\mathrm{Re}f)^+\ \mathrm d\mu-\int_X\ (\mathrm{Re}f)^-\ \mathrm d\mu+i\ \left( \int_X\ (\mathrm{Im}f)^+\ \mathrm d\mu-\ \int_X\ (\mathrm{Im}f)^-\ \mathrm d\mu \right)$ |