Differences
This shows you the differences between two versions of the page.
Both sides previous revision Previous revision Next revision | Previous revision | ||
positive_measurable_numerical_function [2013/08/18 20:02] nikolaj |
positive_measurable_numerical_function [2013/09/06 23:32] nikolaj |
||
---|---|---|---|
Line 6: | Line 6: | ||
| @#88DDEE: $f\in \mathrm{Measurable}(X,\overline{\mathbb R})$ | | | @#88DDEE: $f\in \mathrm{Measurable}(X,\overline{\mathbb R})$ | | ||
+ | |||
| $x\in X$ | | | $x\in X$ | | ||
Line 12: | Line 13: | ||
==== 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]] |