diff --git a/.obsidian/workspace.json b/.obsidian/workspace.json index a59930c..6c26d6c 100644 --- a/.obsidian/workspace.json +++ b/.obsidian/workspace.json @@ -83,12 +83,12 @@ "state": { "type": "markdown", "state": { - "file": "DAS/Groups.md", + "file": "DAS/Set Theory.md", "mode": "source", "source": false }, "icon": "lucide-file", - "title": "Groups" + "title": "Set Theory" } } ], @@ -252,9 +252,10 @@ }, "active": "7d1b3d98021093a7", "lastOpenFiles": [ - "DAS/Set Theory.md", - "DAS/Groups.md", + "DAS/Studium.md", "DAS/Arithmetic.md", + "DAS/Groups.md", + "DAS/Set Theory.md", "DAS/merge.md", "DAS/export.css", "Formulas.md", @@ -263,7 +264,6 @@ "DAS/Relations.md", "DAS/Logic.md", "mathe/notation.md", - "DAS/Studium.md", "ET/Netzwerke.md", "ET/Kirchhoffsche Regeln.md", "ET/Grundlagen.md", diff --git a/DAS/Groups.md b/DAS/Groups.md index 6bc5629..df9a659 100644 --- a/DAS/Groups.md +++ b/DAS/Groups.md @@ -4,4 +4,8 @@ Groups are Closures that have the following properties: 2. **associativity**: changing the order of operations doesn't change the result 3. **identity**: there is a neutral element ($0$ in addition, $1$ in multiplication) 4. **inverses**: every element has a element when combined results in the identity element ($+5 + (-5) = 0$) - \ No newline at end of file + +## Order of elements in a cyclic group +$"order"(a) = n/("gcd(a,n)")$ +$n$: from $ZZ\/10ZZ$ => $10$ +$a$: element to find order of \ No newline at end of file