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measurable_numerical_function [2013/08/18 18:35] nikolaj |
measurable_numerical_function [2014/03/21 11:11] (current) |
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| ===== Measurable numerical function ===== | ===== Measurable numerical function ===== | ||
| - | ==== Definition ==== | + | ==== Set ==== |
| - | | @#88DDEE: $ \langle X,\Sigma_X\rangle\in \mathrm{MeasurableSpace}(X) $ | | + | | @#55CCEE: context | @#55CCEE: $ \langle X,\Sigma_X\rangle\in \mathrm{MeasurableSpace}(X) $ | |
| - | | @#55EE55: $\mathcal M \equiv\mathrm{Measurable}(X,\overline{\mathbb R}) $ | | + | | @#55EE55: postulate | @#55EE55: $\mathcal M \equiv\mathrm{Measurable}(X,\overline{\mathbb R}) $ | |
| Where for $\mathbb R$ we choose the [[Borel subsets of the reals]]. | Where for $\mathbb R$ we choose the [[Borel subsets of the reals]]. | ||
| ==== Discussion ==== | ==== Discussion ==== | ||
| - | ==== Context ==== | + | ==== Parents ==== |
| === Subset of === | === Subset of === | ||
| [[Measurable function]] | [[Measurable function]] | ||
| - | === Requirements === | + | === Context === |
| [[Borel subsets of the reals]] | [[Borel subsets of the reals]] | ||
