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Diffstat (limited to 'source/know/concept/sigma-algebra/index.md')
| -rw-r--r-- | source/know/concept/sigma-algebra/index.md | 4 |
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. |