diff options
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 %} |