===== Measure =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $\Sigma \in \mathrm{SigmaAlgebra}(X) $ |
| @#FFBB00: definiendum | @#FFBB00: $ \mu\in \mathrm{measure}(\Sigma)$ |
| @#55CCEE: context     | @#55CCEE: $E\in \Sigma$ |
| @#55CCEE: context     | @#55CCEE: $S\in \mathrm{Sequence}(\Sigma)$ |
| @#AAFFAA: inclusion   | @#AAFFAA: $\mu:\Sigma\to \overline{\mathbb R} $ |
| @#55EE55: postulate   | @#55EE55: $ \mu(E)\ge 0$ |
| @#55EE55: postulate   | @#55EE55: $ \mu(\emptyset)=0 $ |
| @#55EE55: postulate   | @#55EE55: $ \mu\left(\bigcup_{j=1}^\infty S_j\right)=\sum_{j=1}^\infty \mu(S_j) $ |

-----
=== Reference ===
Wikipedia: [[http://en.wikipedia.org/wiki/Measure_%28mathematics%29|Measure]]

-----
=== Context ===
[[σ-algebra]], [[Extended real number line]], [[Infinite series]]

=== Equivalent to ===
[[Measure space]]