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
Next revision Both sides next revision
measure [2014/03/21 11:11]
127.0.0.1 external edit 		measure [2015/04/01 10:30]
nikolaj
Line 2: Line 2:
 ==== Set ==== ==== Set ====
 | @#55CCEE: context ​    | @#55CCEE: $\Sigma \in \mathrm{SigmaAlgebra}(X) $ | | @#55CCEE: context ​    | @#55CCEE: $\Sigma \in \mathrm{SigmaAlgebra}(X) $ |
- 
 | @#FFBB00: definiendum | @#FFBB00: $ \mu\in \mathrm{measure}(\Sigma)$ | | @#FFBB00: definiendum | @#FFBB00: $ \mu\in \mathrm{measure}(\Sigma)$ |
- 
 | @#55CCEE: context ​    | @#55CCEE: $E\in \Sigma$ | | @#55CCEE: context ​    | @#55CCEE: $E\in \Sigma$ |
 | @#55CCEE: context ​    | @#55CCEE: $S\in \mathrm{Sequence}(\Sigma)$ | | @#55CCEE: context ​    | @#55CCEE: $S\in \mathrm{Sequence}(\Sigma)$ |
- 
 | @#55EE55: postulate ​  | @#55EE55: $ \mu:​\Sigma\to \overline{\mathbb R} $ | | @#55EE55: postulate ​  | @#55EE55: $ \mu:​\Sigma\to \overline{\mathbb R} $ |
 | @#55EE55: postulate ​  | @#55EE55: $ \mu(\emptyset)=0 $ | | @#55EE55: postulate ​  | @#55EE55: $ \mu(\emptyset)=0 $ |
Line 13: Line 10:
 | @#55EE55: postulate ​  | @#55EE55: $ \mu\left(\bigcup_{j=1}^\infty S_j\right)=\sum_{j=1}^\infty \mu(S_j) $ | | @#55EE55: postulate ​  | @#55EE55: $ \mu\left(\bigcup_{j=1}^\infty S_j\right)=\sum_{j=1}^\infty \mu(S_j) $ |
  
-==== Discussion ====+-----
 === Reference === === Reference ===
 Wikipedia: [[http://​en.wikipedia.org/​wiki/​Measure_%28mathematics%29|Measure]] Wikipedia: [[http://​en.wikipedia.org/​wiki/​Measure_%28mathematics%29|Measure]]
-==== Parents ====+ 
 +----- 
 +=== Context ​=== 
 +[[σ-algebra]],​ [[Extended real number line]], [[Infinite series]] 
 === Equivalent to === === Equivalent to ===
 [[Measure space]] [[Measure space]]
-=== Context === 
-[[σ-algebra]],​ [[Extended real number line]], [[Infinite series]] 
Link to graph
Log In
Improvements of the human condition
limeGraphxioms