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positive_measurable_numerical_function [2013/08/18 20:02]
nikolaj
positive_measurable_numerical_function [2013/09/06 23:32]
nikolaj
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 | @#88DDEE: $f\in \mathrm{Measurable}(X,​\overline{\mathbb R})$ | | @#88DDEE: $f\in \mathrm{Measurable}(X,​\overline{\mathbb R})$ |
 +
 | $x\in X$ | | $x\in X$ |
  
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 ==== Discussion ==== ==== 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 $u_n\uparrow f$. 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 $u_n\uparrow f$.
-==== Context ​====+==== Parents ​====
 === Subset of === === Subset of ===
 [[Measurable numerical function]] [[Measurable numerical function]]
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