# Differences

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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] (current) Both sides previous revision Previous revision 2013/09/06 23:32 nikolaj 2013/09/06 22:04 external edit2013/08/18 20:02 nikolaj 2013/08/18 19:38 nikolaj 2013/08/18 19:38 nikolaj 2013/08/18 19:31 nikolaj created Next revision Previous revision 2013/09/06 23:32 nikolaj 2013/09/06 22:04 external edit2013/08/18 20:02 nikolaj 2013/08/18 19:38 nikolaj 2013/08/18 19:38 nikolaj 2013/08/18 19:31 nikolaj created Line 1: Line 1: ===== Positive measurable numerical function ===== ===== Positive 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: $f\in \mathcal M^+$ | + | @#55EE55: postulate ​  | @#55EE55: $f\in \mathcal M^+$ | + + | @#55CCEE: context ​    | @#55CCEE: $f\in \mathrm{Measurable}(X,​\overline{\mathbb R})$ | - | @#88DDEE: $f\in \mathrm{Measurable}(X,​\overline{\mathbb R})$ | | $x\in X$ | | $x\in X$ | - | @#55EE55: $f(x)\ge 0$ | + | @#55EE55: postulate ​  | @#55EE55: $f(x)\ge 0$ | ==== Discussion ==== ==== Discussion ====