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positive_real_step_function [2013/08/18 19:40] nikolaj created |
positive_real_step_function [2014/03/21 11:11] (current) |
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===== Positive real step function ===== | ===== Positive 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: $f\in \mathcal T$ | @#88DDEE: ...[[Real step function]] | | + | | @#55CCEE: context | @#55CCEE: $f\in \mathcal T$ | @#55CCEE: context | @#55CCEE: ...[[Real step function]] | |
| $x\in X$ | | | $x\in X$ | | ||
- | | @#55EE55: $f(x)\ge 0$ | | + | | @#55EE55: postulate | @#55EE55: $f(x)\ge 0$ | |
==== Discussion ==== | ==== Discussion ==== | ||
- | ==== Context ==== | + | ==== Parents ==== |
=== Subset of === | === Subset of === | ||
[[Real step function]] | [[Real step function]] |