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positive_measurable_numerical_function [2013/09/06 22:04]
127.0.0.1 external edit
positive_measurable_numerical_function [2014/03/21 11:11]
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-===== Positive measurable numerical function ===== 
-==== Definition ==== 
-| @#88DDEE: $ \langle X,​\Sigma_X\rangle\in \mathrm{MeasurableSpace}(X) $ | 
  
-| @#55EE55: $f\in \mathcal M^+$ | 
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-| @#88DDEE: $f\in \mathrm{Measurable}(X,​\overline{\mathbb R})$ | 
-| $x\in X$ | 
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-| @#55EE55: $f(x)\ge 0$ | 
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-==== Discussion ==== 
-For the definition of the integral, it's crucial to know that for every $f\in \mathcal M^+$, there is a sequence $u_n$ with elements in the step functions $\mathcal T^+$, with $u_n\uparrow f$. 
-==== Parents ==== 
-=== Subset of === 
-[[Measurable numerical function]] 
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