# Differences

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 real_step_function [2013/09/06 22:04]127.0.0.1 external edit real_step_function [2014/03/21 11:11] (current) Both sides previous revision Previous revision 2013/10/27 16:51 nikolaj 2013/09/06 22:04 external edit2013/08/18 19:31 nikolaj 2013/08/16 19:45 nikolaj 2013/08/16 19:44 nikolaj 2013/08/16 19:44 nikolaj 2013/08/16 19:43 nikolaj 2013/08/07 19:55 nikolaj 2013/08/07 19:18 nikolaj 2013/08/07 19:18 nikolaj 2013/08/04 21:22 nikolaj 2013/08/04 21:21 nikolaj created Next revision Previous revision 2013/10/27 16:51 nikolaj 2013/09/06 22:04 external edit2013/08/18 19:31 nikolaj 2013/08/16 19:45 nikolaj 2013/08/16 19:44 nikolaj 2013/08/16 19:44 nikolaj 2013/08/16 19:43 nikolaj 2013/08/07 19:55 nikolaj 2013/08/07 19:18 nikolaj 2013/08/07 19:18 nikolaj 2013/08/04 21:22 nikolaj 2013/08/04 21:21 nikolaj created Line 1: Line 1: ===== Real step function ===== ===== Real step function ===== - ==== Definition ​==== + ==== Set ==== - | @#88DDEE: $\langle X,​\Sigma\rangle\in\mathrm{MeasurableSpace}(X)$ | + | @#55CCEE: context ​    | @#55CCEE: $\langle X,​\Sigma\rangle\in\mathrm{MeasurableSpace}(X)$ | - | @#55EE55: $f\in \mathcal T$ | + | @#55EE55: postulate ​  | @#55EE55: $f\in \mathcal T$ | - | @#88DDEE: $f\in\mathrm{Measurable}(X,​\mathbb R)$ | + | @#55CCEE: context ​    | @#55CCEE: $f\in\mathrm{Measurable}(X,​\mathbb R)$ | Where we consider the Borel algebra over $\mathbb R$ Where we consider the Borel algebra over $\mathbb R$ - | @#55EE55: $\mathrm{im}(f)$...[[glossary|finite]] | + | @#55EE55: postulate ​  | @#55EE55: $\mathrm{im}(f)$ ... finite | ==== Discussion ==== ==== Discussion ==== Line 20: Line 20: === Refinement of === === Refinement of === [[Measurable function]] [[Measurable function]] - === Requirements ​=== + === Context ​=== [[Real number]] [[Real number]]