Differences

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

Link to this comparison view

Both sides previous revision Previous revision
Next revision
Previous revision
real_step_function [2013/08/18 19:31]
nikolaj
real_step_function [2014/03/21 11:11] (current)
Line 1: Line 1:
 ===== Real step function ===== ===== Real step function =====
-==== Definition ​==== +==== Set ==== 
-| @#88DDEE: $\langle X,​\Sigma\rangle\in\mathrm{MeasurableSpace}(X)$ |+| @#55CCEE: context ​    | @#55CCEE: $\langle X,​\Sigma\rangle\in\mathrm{MeasurableSpace}(X)$ |
  
-| @#55EE55: $f\in \mathcal T$ |+| @#55EE55: postulate ​  | @#55EE55: $f\in \mathcal T$ |
  
-| @#88DDEE: $f\in\mathrm{Measurable}(X,​\mathbb R)$ |+| @#55CCEE: context ​    | @#55CCEE: $f\in\mathrm{Measurable}(X,​\mathbb R)$ |
  
 Where we consider the Borel algebra over $\mathbb R$ Where we consider the Borel algebra over $\mathbb R$
  
-| @#55EE55: $\mathrm{im}(f)$...[[glossary|finite]] |+| @#55EE55: postulate ​  | @#55EE55: $\mathrm{im}(f)$ ... finite |
  
 ==== Discussion ==== ==== Discussion ====
Line 17: Line 17:
  
 with $\alpha_j$'​s real numbers and $E_n$'​s in the measurable algebra. with $\alpha_j$'​s real numbers and $E_n$'​s in the measurable algebra.
-==== Context ​====+==== Parents ​====
 === Refinement of === === Refinement of ===
 [[Measurable function]] [[Measurable function]]
-=== Requirements ​===+=== Context ​===
 [[Real number]] [[Real number]]
Link to graph
Log In
Improvements of the human condition