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| Both sides previous revision Previous revision Next revision | Previous revision | ||
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real_step_function [2013/08/16 19:45] nikolaj |
real_step_function [2013/10/27 16:51] nikolaj |
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| | @#55EE55: $f\in \mathcal T$ | | | @#55EE55: $f\in \mathcal T$ | | ||
| - | | @#88DDEE: $f\in\mathrm{MeasurableFunction}(X,\mathbb R)$ | | + | | @#88DDEE: $f\in\mathrm{Measurable}(X,\mathbb R)$ | |
| 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: $\mathrm{im}(f)$ ... finite | |
| ==== Discussion ==== | ==== Discussion ==== | ||
| Line 17: | Line 17: | ||
| with $\alpha_j$'s real numbers and $E_n$'s in the measurable algebra. | with $\alpha_j$'s real numbers and $E_n$'s in the measurable algebra. | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| === Refinement of === | === Refinement of === | ||
| [[Measurable function]] | [[Measurable function]] | ||
| === Requirements === | === Requirements === | ||
| [[Real number]] | [[Real number]] | ||
