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

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Jan Meyer
2026-03-10 08:33:02 +01:00
parent 1fc19b5198
commit 2931c8d069
2 changed files with 10 additions and 6 deletions
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10
.obsidian/workspace.json vendored
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@@ -83,12 +83,12 @@
"state": { "state": {
"type": "markdown", "type": "markdown",
"state": { "state": {
"file": "DAS/Groups.md", "file": "DAS/Set Theory.md",
"mode": "source", "mode": "source",
"source": false "source": false
}, },
"icon": "lucide-file", "icon": "lucide-file",
"title": "Groups" "title": "Set Theory"
} }
} }
], ],
@@ -252,9 +252,10 @@
}, },
"active": "7d1b3d98021093a7", "active": "7d1b3d98021093a7",
"lastOpenFiles": [ "lastOpenFiles": [
"DAS/Set Theory.md", "DAS/Studium.md",
"DAS/Groups.md",
"DAS/Arithmetic.md", "DAS/Arithmetic.md",
"DAS/Groups.md",
"DAS/Set Theory.md",
"DAS/merge.md", "DAS/merge.md",
"DAS/export.css", "DAS/export.css",
"Formulas.md", "Formulas.md",
@@ -263,7 +264,6 @@
"DAS/Relations.md", "DAS/Relations.md",
"DAS/Logic.md", "DAS/Logic.md",
"mathe/notation.md", "mathe/notation.md",
"DAS/Studium.md",
"ET/Netzwerke.md", "ET/Netzwerke.md",
"ET/Kirchhoffsche Regeln.md", "ET/Kirchhoffsche Regeln.md",
"ET/Grundlagen.md", "ET/Grundlagen.md",

6
DAS/Groups.md
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@@ -4,4 +4,8 @@ Groups are Closures that have the following properties:
2. **associativity**: changing the order of operations doesn't change the result 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) 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 ($+5 + (-5) = 0$) 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