vault backup: 2026-03-10 08:33:02

.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",

DAS/Groups.md

@@ -5,3 +5,7 @@ Groups are Closures that have the following properties:
 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 ($+5 + (-5) = 0$)
 
+## Order of elements in a cyclic group
+$"order"(a) = n/("gcd(a,n)")$
+$n$: from $ZZ\/10ZZ$ => $10$
+$a$: element to find order of