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authorJustin Gassner <justin.gassner@mailbox.org>2024-02-15 05:11:07 +0100
committerJustin Gassner <justin.gassner@mailbox.org>2024-02-15 05:11:07 +0100
commit7c66b227a494748e2a546fb85317accd00aebe53 (patch)
tree9c649667d2d024b90b32d36ca327ac4b2e7caeb2 /pages/measure-and-integration/measure-theory
parent28407333ffceca9b99fae721c30e8ae146a863da (diff)
downloadsite-7c66b227a494748e2a546fb85317accd00aebe53.tar.zst
Update
Diffstat (limited to 'pages/measure-and-integration/measure-theory')
-rw-r--r--pages/measure-and-integration/measure-theory/measures.md2
-rw-r--r--pages/measure-and-integration/measure-theory/sigma-algebras.md1
-rw-r--r--pages/measure-and-integration/measure-theory/signed-measures.md2
3 files changed, 2 insertions, 3 deletions
diff --git a/pages/measure-and-integration/measure-theory/measures.md b/pages/measure-and-integration/measure-theory/measures.md
index 637ab0c..c843881 100644
--- a/pages/measure-and-integration/measure-theory/measures.md
+++ b/pages/measure-and-integration/measure-theory/measures.md
@@ -14,7 +14,7 @@ is mapping $\mu : \mathcal{A} \to [0,\infty]$ such that
- $\mu(\varnothing) = 0$,
- for every sequence $(A_n)_{n \in \NN}$ of
pairwise disjoint sets $A_n \in \mathcal{A}$
-
+
$$
\mu \bigg\lparen \bigcup_{n=1}^{\infty} A_n \! \bigg\rparen
= \sum_{n=0}^{\infty} \mu(A_n).
diff --git a/pages/measure-and-integration/measure-theory/sigma-algebras.md b/pages/measure-and-integration/measure-theory/sigma-algebras.md
index 5d22f6b..8f58f09 100644
--- a/pages/measure-and-integration/measure-theory/sigma-algebras.md
+++ b/pages/measure-and-integration/measure-theory/sigma-algebras.md
@@ -47,4 +47,3 @@ defined to be the intersection of all σ-algebras on $X$ containing $\mathcal{A}
By the previous proposition, $\sigma(\mathcal{E})$ is in fact a σ-algebra on $X$.
## Products of {{ page.title }}
-
diff --git a/pages/measure-and-integration/measure-theory/signed-measures.md b/pages/measure-and-integration/measure-theory/signed-measures.md
index 77b2416..657a28f 100644
--- a/pages/measure-and-integration/measure-theory/signed-measures.md
+++ b/pages/measure-and-integration/measure-theory/signed-measures.md
@@ -18,7 +18,7 @@ is a mapping $\mu : \mathcal{A} \to [-\infty,\infty]$ such that
- for every sequence $(A_n)_{n \in \NN}$ of
pairwise disjoint sets $A_n \in \mathcal{A}$
{: .my-0 }
-
+
$$
\mu \bigg\lparen \bigcup_{n=1}^{\infty} A_n \! \bigg\rparen
= \sum_{n=0}^{\infty} \mu(A_n).