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compare: jan:3b5c2e7623fcc1f49e81d9f56e281be5e55949e0
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2 Commits
daf634e355 ... 3b5c2e7623

Author SHA1 Message Date
Jan Meyer
3b5c2e7623 vault backup: 2026-04-09 11:51:04 2026-04-09 11:51:04 +02:00
Jan Meyer
70ccf8d3a2 vault backup: 2026-04-09 11:37:49 2026-04-09 11:37:49 +02:00
5 changed files with 137 additions and 89 deletions
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2
.obsidian/plugins/obsidian-file-color/data.json vendored
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@@ -1,5 +1,5 @@
{ {
"cascadeColors": false, "cascadeColors": true,
"colorBackground": false, "colorBackground": false,
"palette": [], "palette": [],
"fileColors": [] "fileColors": []

164
.obsidian/snippets/matugen.css vendored
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@@ -6,113 +6,113 @@
.theme-dark, .theme-light { .theme-dark, .theme-light {
/* ── Material You RGB helpers ──────────────────────────── */ /* ── Material You RGB helpers ──────────────────────────── */
--mat-bg-rgb: 19, 18, 29; --mat-bg-rgb: 14, 21, 13;
--mat-surface-rgb: 19, 18, 29; --mat-surface-rgb: 14, 21, 13;
--mat-on-surface-rgb: 228, 224, 240; --mat-on-surface-rgb: 221, 229, 215;
--mat-primary-rgb: 195, 192, 255; --mat-primary-rgb: 88, 225, 104;
--mat-on-primary-rgb: 29, 0, 165; --mat-on-primary-rgb: 0, 57, 13;
/* ── Core Backgrounds ──────────────────────────────────── */ /* ── Core Backgrounds ──────────────────────────────────── */
--background-primary: #13121d; --background-primary: #0e150d;
--background-primary-alt: #13121d; --background-primary-alt: #0e150d;
--background-secondary: #1b1a25; --background-secondary: #161d15;
--background-secondary-alt: #1f1e29; --background-secondary-alt: #1a2219;
/* ── Titlebar ──────────────────────────────────────────── */ /* ── Titlebar ──────────────────────────────────────────── */
--titlebar-background: #13121d; --titlebar-background: #0e150d;
--titlebar-background-focused: #1b1a25; --titlebar-background-focused: #161d15;
--titlebar-text-color: #e4e0f0; --titlebar-text-color: #dde5d7;
/* ── Borders & Dividers ────────────────────────────────── */ /* ── Borders & Dividers ────────────────────────────────── */
--background-modifier-border: #464557; --background-modifier-border: #3d4a3b;
--background-modifier-border-focus: #918fa3; --background-modifier-border-focus: #879583;
--background-modifier-border-hover: #918fa3; --background-modifier-border-hover: #879583;
/* ── Text Colors ───────────────────────────────────────── */ /* ── Text Colors ───────────────────────────────────────── */
--text-normal: #e4e0f0; --text-normal: #dde5d7;
--text-muted: #c7c4da; --text-muted: #bccbb7;
--text-faint: #918fa3; --text-faint: #879583;
--text-on-accent: #1d00a5; --text-on-accent: #00390d;
--text-selection: rgba(195, 192, 255, 0.25); --text-selection: rgba(88, 225, 104, 0.25);
/* ── Accent & Interactive ──────────────────────────────── */ /* ── Accent & Interactive ──────────────────────────────── */
--interactive-accent: #c3c0ff; --interactive-accent: #58e168;
--interactive-accent-hover: #3c24f6; --interactive-accent-hover: #16af3e;
--interactive-accent-rgb: 195, 192, 255; --interactive-accent-rgb: 88, 225, 104;
--text-accent: #c3c0ff; --text-accent: #58e168;
--text-accent-hover: #3c24f6; --text-accent-hover: #16af3e;
/* ── Hover & Active Modifiers ──────────────────────────── */ /* ── Hover & Active Modifiers ──────────────────────────── */
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--background-modifier-active-hover: rgba(var(--mat-primary-rgb), 0.15); --background-modifier-active-hover: rgba(var(--mat-primary-rgb), 0.15);
--background-modifier-success: #a32200; --background-modifier-success: #fe5f8c;
--background-modifier-error: #93000a; --background-modifier-error: #93000a;
--background-modifier-error-hover: #ffb4ab; --background-modifier-error-hover: #ffb4ab;
/* ── Obsidian Color Scale (--color-base-XX) ────────────── */ /* ── Obsidian Color Scale (--color-base-XX) ────────────── */
--color-base-00: #13121d; --color-base-00: #0e150d;
--color-base-05: #13121d; --color-base-05: #0e150d;
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/* ── Semantic Colors ───────────────────────────────────── */ /* ── Semantic Colors ───────────────────────────────────── */
--color-red: #ffb4ab; --color-red: #ffb4ab;
--color-orange: #ffb4a3; --color-orange: #ffb1c1;
--color-yellow: #c3c0ff; --color-yellow: #98d695;
--color-green: #a32200; --color-green: #fe5f8c;
--color-cyan: #3e3a96; --color-cyan: #1a5422;
--color-blue: #c3c0ff; --color-blue: #58e168;
--color-purple: #c3c0ff; --color-purple: #98d695;
--color-pink: #ffb4a3; --color-pink: #ffb1c1;
/* ── Headings ──────────────────────────────────────────── */ /* ── Headings ──────────────────────────────────────────── */
--h1-color: #c3c0ff; --h1-color: #58e168;
--h2-color: #c3c0ff; --h2-color: #58e168;
--h3-color: #c3c0ff; --h3-color: #98d695;
--h4-color: #ffb4a3; --h4-color: #ffb1c1;
--h5-color: #c7c4da; --h5-color: #bccbb7;
--h6-color: #918fa3; --h6-color: #879583;
/* ── Links ─────────────────────────────────────────────── */ /* ── Links ─────────────────────────────────────────────── */
--link-color: #c3c0ff; --link-color: #58e168;
--link-color-hover: #faf6ff; --link-color-hover: #000601;
--link-external-color: #ffb4a3; --link-external-color: #ffb1c1;
--link-unresolved-color: #918fa3; --link-unresolved-color: #879583;
/* ── Tags ──────────────────────────────────────────────── */ /* ── Tags ──────────────────────────────────────────────── */
--tag-color: #faf6ff; --tag-color: #000601;
--tag-background: #3c24f6; --tag-background: #16af3e;
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--tag-background-hover: #c3c0ff; --tag-background-hover: #58e168;
/* ── Checkboxes ────────────────────────────────────────── */ /* ── Checkboxes ────────────────────────────────────────── */
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--checkbox-border-color: #918fa3; --checkbox-border-color: #879583;
--checkbox-marker-color: #1d00a5; --checkbox-marker-color: #00390d;
/* ── Code Blocks ───────────────────────────────────────── */ /* ── Code Blocks ───────────────────────────────────────── */
--code-background: #1b1a25; --code-background: #161d15;
--code-normal: #e4e0f0; --code-normal: #dde5d7;
--code-comment: #918fa3; --code-comment: #879583;
--code-function: #c3c0ff; --code-function: #58e168;
--code-important: #ffb4ab; --code-important: #ffb4ab;
--code-keyword: #c3c0ff; --code-keyword: #98d695;
--code-operator: #ffb4a3; --code-operator: #ffb1c1;
--code-property: #c7c4da; --code-property: #bccbb7;
--code-punctuation: #464557; --code-punctuation: #3d4a3b;
--code-string: #ffb4a3; --code-string: #ffb1c1;
--code-tag: #ffb4ab; --code-tag: #ffb4ab;
--code-value: #c3c0ff; --code-value: #98d695;
/* ── Scrollbar ─────────────────────────────────────────── */ /* ── Scrollbar ─────────────────────────────────────────── */
--scrollbar-thumb-bg: rgba(var(--mat-on-surface-rgb), 0.12); --scrollbar-thumb-bg: rgba(var(--mat-on-surface-rgb), 0.12);
@@ -121,16 +121,16 @@
/* ── Inputs ────────────────────────────────────────────── */ /* ── Inputs ────────────────────────────────────────────── */
--input-shadow: none; --input-shadow: none;
--input-shadow-hover: 0 0 0 2px #918fa3; --input-shadow-hover: 0 0 0 2px #879583;
/* ── Graph View ────────────────────────────────────────── */ /* ── Graph View ────────────────────────────────────────── */
--graph-node: #c3c0ff; --graph-node: #58e168;
--graph-node-unresolved: #918fa3; --graph-node-unresolved: #879583;
--graph-node-focused: #faf6ff; --graph-node-focused: #000601;
--graph-node-tag: #c3c0ff; --graph-node-tag: #98d695;
--graph-node-attachment: #ffb4a3; --graph-node-attachment: #ffb1c1;
--graph-line: #464557; --graph-line: #3d4a3b;
--graph-background: #13121d; --graph-background: #0e150d;
} }

12
.obsidian/workspace.json vendored
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@@ -27,12 +27,12 @@
"state": { "state": {
"type": "markdown", "type": "markdown",
"state": { "state": {
"file": "20 Atlas/AT - Map of Content.md", "file": "00 Inbox/29595454 - Komplexe Zahlen und Eigenwertaufgaben.md",
"mode": "source", "mode": "source",
"source": false "source": false
}, },
"icon": "lucide-file", "icon": "lucide-file",
"title": "AT - Map of Content" "title": "29595454 - Komplexe Zahlen und Eigenwertaufgaben"
} }
}, },
{ {
@@ -213,13 +213,15 @@
}, },
"active": "e179fd2c20f4067e", "active": "e179fd2c20f4067e",
"lastOpenFiles": [ "lastOpenFiles": [
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"10 Courses/02 - SoSe 2026/AT/29593975 - Regular Expressions.md", "10 Courses/02 - SoSe 2026/AT/29593975 - Regular Expressions.md",
"10 Courses/02 - SoSe 2026/AT/29593958 - Kleene star of languages.md", "10 Courses/02 - SoSe 2026/AT/29593958 - Kleene star of languages.md",
"10 Courses/02 - SoSe 2026/AT/29593952 - Regular Languages.md", "10 Courses/02 - SoSe 2026/AT/29593952 - Regular Languages.md",
"10 Courses/02 - SoSe 2026/AT/29593940 - Formal Languages.md", "10 Courses/02 - SoSe 2026/AT/29593940 - Formal Languages.md",
"10 Courses/02 - SoSe 2026/AT/29593935 - Kleene Star & Kleene Plus.md", "10 Courses/02 - SoSe 2026/AT/29593935 - Kleene Star & Kleene Plus.md",
"10 Courses/02 - SoSe 2026/AT/29593852 - Strings.md", "10 Courses/02 - SoSe 2026/AT/29593852 - Strings.md",
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"30 Library/29595284 - v01.pdf", "30 Library/29595284 - v01.pdf",
"30 Library/29595284 - v00.pdf", "30 Library/29595284 - v00.pdf",
@@ -256,8 +258,6 @@
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"40 Extras/OOP_Lecture/6_exams/instructions.md", "40 Extras/OOP_Lecture/6_exams/instructions.md"
"40 Extras/OOP_Lecture/6_exams/grading.md",
"40 Extras/OOP_Lecture/6_exams/advices.md"
] ]
} }

40
00 Inbox/29595454 - Komplexe Zahlen und Eigenwertaufgaben.md Normal file
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@@ -0,0 +1,40 @@
---
created: 2026-04-09 11:34
course: "[[29595454 - Mathematik II]]"
topic: komplexe Zahlen, Eigenwert
related:
type: lecture
status: 🔴
tags:
- university
---
## 📌 Summary
> [!abstract]
>
---
## 📝 Content
## Imaginäre Einheit
Die imaginäre Einheit $i$ ist definiert über $i^2 = -1$.
## Menge der komplexen Zahlen
Die Elemente der menge $CC := {x + i y : x, y in RR}$ nennt man _komplexe Zahlen_.
## Komplexe Zahlen
Zu einer komplexen Zahl $z = x + i y in CC$ mit $x, y in RR$ heißt
- $"Re" z := x$ _Realteil_ von $z$
- $"Im" z := y$ _Imaginärteil_ von $z$
- $overline(z) := x - i y$ die _konjugiert komplexe Zahl_ zu $z$
- $abs(z) := sqrt(x^2 + y^2)$ der _Betrag_ von $z$
- $phi in [0, 2pi]$ _Argument_ oder _Phase_ von $z$
### Operationen
#### Addition
Die Addition wird (komponentenweise) wie für Vektoren definiert:
$a = vec(x, y), b = vec(x_2, y_2)$
#### Multiplikation

8
10 Courses/02 - SoSe 2026/Mathe II/29595454 - Mathematik II.md Normal file
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@@ -0,0 +1,8 @@
---
created: 2026-04-09 11:34
course: "[[29595454 - Mathematik II]]"
type: lecture
status: 🔴
tags:
- university
---