diff options
author | Justin Gassner <justin.gassner@mailbox.org> | 2024-03-23 18:08:44 +0100 |
---|---|---|
committer | Justin Gassner <justin.gassner@mailbox.org> | 2024-03-23 18:08:44 +0100 |
commit | 73445885d54edffcc9ae74525887b529a3f96165 (patch) | |
tree | 525c54151d604a4cf2f69601fc88f45e8673adc2 /pages/measure-and-integration | |
parent | a1b5de688d879069b5e1192057d71572c7bc5368 (diff) | |
download | site-master.tar.zst |
Diffstat (limited to 'pages/measure-and-integration')
-rw-r--r-- | pages/measure-and-integration/measure-theory/measures.md | 4 |
1 files changed, 2 insertions, 2 deletions
diff --git a/pages/measure-and-integration/measure-theory/measures.md b/pages/measure-and-integration/measure-theory/measures.md index c843881..5ad3308 100644 --- a/pages/measure-and-integration/measure-theory/measures.md +++ b/pages/measure-and-integration/measure-theory/measures.md @@ -7,7 +7,7 @@ nav_order: 4 # {{ page.title }} -{% definition %} +{% definition Measure %} A *measure* on a σ-algebra $\mathcal{A}$ on a set $X$ is mapping $\mu : \mathcal{A} \to [0,\infty]$ such that @@ -17,7 +17,7 @@ is mapping $\mu : \mathcal{A} \to [0,\infty]$ such that $$ \mu \bigg\lparen \bigcup_{n=1}^{\infty} A_n \! \bigg\rparen - = \sum_{n=0}^{\infty} \mu(A_n). + = \sum_{n=1}^{\infty} \mu(A_n). $$ {% enddefinition %} |