summaryrefslogtreecommitdiff
path: root/source/know/concept/sigma-algebra/index.md
diff options
context:
space:
mode:
authorPrefetch2022-12-20 20:11:25 +0100
committerPrefetch2022-12-20 20:11:25 +0100
commit1d700ab734aa9b6711eb31796beb25cb7659d8e0 (patch)
treeefdd26b83be1d350d7c6c01baef11a54fa2c5b36 /source/know/concept/sigma-algebra/index.md
parenta39bb3b8aab1aeb4fceaedc54c756703819776c3 (diff)
More improvements to knowledge base
Diffstat (limited to 'source/know/concept/sigma-algebra/index.md')
-rw-r--r--source/know/concept/sigma-algebra/index.md4
1 files changed, 2 insertions, 2 deletions
diff --git a/source/know/concept/sigma-algebra/index.md b/source/know/concept/sigma-algebra/index.md
index ac607a7..6627a58 100644
--- a/source/know/concept/sigma-algebra/index.md
+++ b/source/know/concept/sigma-algebra/index.md
@@ -12,7 +12,7 @@ In set theory, given a set $$\Omega$$, a $$\sigma$$**-algebra**
is a family $$\mathcal{F}$$ of subsets of $$\Omega$$
with these properties:
-1. The full set is included $$\Omega \in \mathcal{F}$$.
+1. The full set is included: $$\Omega \in \mathcal{F}$$.
2. For all subsets $$A$$, if $$A \in \mathcal{F}$$,
then its complement $$\Omega \!-\! A \in \mathcal{F}$$ too.
3. If two events $$A, B \in \mathcal{F}$$,
@@ -24,7 +24,7 @@ property (1) represents TRUE,
and that is all we need to define all logic.
For example, FALSE and OR follow from the above points:
-4. The empty set is included $$\varnothing \in \mathcal{F}$$.
+4. The empty set is included: $$\varnothing \in \mathcal{F}$$.
5. If two events $$A, B \in \mathcal{F}$$,
then their intersection $$A \cap B \in \mathcal{F}$$ too.