# Differences

This shows you the differences between two versions of the page.

 measurable_function [2013/08/18 23:45]nikolaj measurable_function [2014/03/21 11:11] (current) Both sides previous revision Previous revision 2013/08/18 23:45 nikolaj 2013/08/18 23:45 nikolaj 2013/08/18 15:00 nikolaj 2013/08/18 14:58 nikolaj 2013/08/16 19:43 nikolaj 2013/08/16 19:28 nikolaj created Next revision Previous revision 2013/08/18 23:45 nikolaj 2013/08/18 23:45 nikolaj 2013/08/18 15:00 nikolaj 2013/08/18 14:58 nikolaj 2013/08/16 19:43 nikolaj 2013/08/16 19:28 nikolaj created Line 1: Line 1: ===== Measurable function ===== ===== Measurable function ===== - ==== Definition ​==== + ==== Set ==== - | @#88DDEE: $\langle X,​\Sigma_X\rangle\in \mathrm{MeasurableSpace}(X)$ | + | @#55CCEE: context ​    | @#55CCEE: $\langle X,​\Sigma_X\rangle\in \mathrm{MeasurableSpace}(X)$ | - | @#88DDEE: $\langle Y,​\Sigma_Y\rangle\in \mathrm{MeasurableSpace}(Y)$ | + | @#55CCEE: context ​    | @#55CCEE: $\langle Y,​\Sigma_Y\rangle\in \mathrm{MeasurableSpace}(Y)$ | - | @#55EE55: $f\in \mathrm{Measurable}(X,​Y)$ | + | @#55EE55: postulate ​  | @#55EE55: $f\in \mathrm{Measurable}(X,​Y)$ | - | @#88DDEE: $f:X\to Y$ | + | @#55CCEE: context ​    | @#55CCEE: $f:X\to Y$ | | $y\in \Sigma_Y$ | | $y\in \Sigma_Y$ | - | @#55EE55: $f^{-1}(y)\in\Sigma_X$ | + | @#55EE55: postulate ​  | @#55EE55: $f^{-1}(y)\in\Sigma_X$ | ==== Discussion ==== ==== Discussion ==== Line 17: Line 17: ==== Reference ==== ==== Reference ==== Wikipedia: [[http://​en.wikipedia.org/​wiki/​Sigma-algebra|Sigma-algebra]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Sigma-algebra|Sigma-algebra]] - ==== Context ​==== + ==== Parents ​==== === Subset of === === Subset of === [[Function]] [[Function]] - === Requirements ​=== + === Context ​=== - [[Measureable ​space]] + [[Measurable ​space]]