Upgrade to Docusaurus 3.0

This commit is contained in:
Niklas Birk 2023-10-31 20:41:33 +01:00
parent bf4bfcdf71
commit 773013102a
34 changed files with 5521 additions and 11994 deletions

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@ -287,17 +287,17 @@ Die tatsächliche semantische Äquivalenz lässt sich leicht durch aufstellen ei
:::tip Wichtige semantische Äquivalenzen
1. $$
\begin{align*}
\begin{align*}
\begin{aligned}
x \wedge y &\equiv y \wedge x\\
x \vee y &\equiv y \vee x\\
x \leftrightarrow y &\equiv y \leftrightarrow x
\end{aligned}
&&\text{Kommutativität}
\end{align*}
$$
\end{align*}
$$
2. $$
\begin{align*}
\begin{align*}
\begin{aligned}
x \wedge (y \wedge z) &\equiv (x \wedge y) \wedge z\\
x \vee (y \vee z) &\equiv (x \vee y) \vee z\\
@ -305,37 +305,37 @@ $$
&\equiv (x \leftrightarrow y) \leftrightarrow z
\end{aligned}
&&\text{Assoziativität}
\end{align*}
$$
\end{align*}
$$
3. $$
\begin{align*}
\begin{align*}
\begin{aligned}
x \wedge (y \vee z) &\equiv (x \wedge y) \vee (x \wedge z)\\
x \vee (y \wedge z) &\equiv (x \vee y) \wedge (x \vee z)
\end{aligned}
&&\text{Distributivität}
\end{align*}
$$
\end{align*}
$$
4. $$
\begin{align*}
\begin{align*}
\begin{aligned}
x \wedge (x \vee y) &\equiv x\\
x \vee (x \wedge y) &\equiv x
\end{aligned}
&&\text{Absorption}
\end{align*}
$$
\end{align*}
$$
5. $$
\begin{align*}
\begin{align*}
\begin{aligned}
x \wedge x &\equiv x\\
x \vee x &\equiv x
\end{aligned}
&&\text{Idempotenz}
\end{align*}
$$
\end{align*}
$$
6. $$
\begin{align*}
\begin{align*}
\begin{aligned}
\neg(\neg x) &\equiv x\\
\neg(x \rightarrow y) &\equiv x \wedge \neg y\\
@ -344,19 +344,19 @@ $$
\equiv x \leftrightarrow \neg y
\end{aligned}
&&\text{Verneinung}
\end{align*}
$$
\end{align*}
$$
7. $$
\begin{align*}
\begin{align*}
\begin{aligned}
\neg(x \wedge y) &\equiv \neg x \vee \neg y\\
\neg(x \vee y) &\equiv \neg x \wedge \neg y
\end{aligned}
&&\text{De Morgan'sche Regeln}
\end{align*}
$$
\end{align*}
$$
8. $$
\begin{align*}
\begin{align*}
\begin{aligned}
x \leftrightarrow y &\equiv (x \rightarrow y) \wedge (y \rightarrow x)\\
x \rightarrow y &\equiv \neg x \vee y\\
@ -364,37 +364,37 @@ $$
x \vee y &\equiv \neg(\neg x \wedge \neg y)
\end{aligned}
&&\text{Elimination}
\end{align*}
$$
\end{align*}
$$
9. $$
\begin{align*}
\begin{align*}
\begin{aligned}
x \rightarrow y \equiv \neg y \rightarrow \neg x
\end{aligned}
&&\text{Kontraposition}
\end{align*}
$$
\end{align*}
$$
10. $$
\begin{align*}
\begin{align*}
\begin{aligned}
\neg f &\equiv w\\
\neg w &\equiv f
\end{aligned}
&&
\end{align*}
$$
\end{align*}
$$
11. $$
\begin{align*}
\begin{align*}
\begin{aligned}
x \wedge \neg x &\equiv f\\
x \vee \neg x &\equiv w\\
x \leftrightarrow \neg x &\equiv f
\end{aligned}
&&
\end{align*}
$$
\end{align*}
$$
12. $$
\begin{align*}
\begin{align*}
\begin{aligned}
w \wedge x &\equiv x\\
f \wedge x &\equiv f\\
@ -402,10 +402,10 @@ $$
f \vee x &\equiv x
\end{aligned}
&&
\end{align*}
$$
\end{align*}
$$
13. $$
\begin{align*}
\begin{align*}
\begin{aligned}
f \rightarrow x &\equiv w\\
w \rightarrow x &\equiv x\\
@ -413,17 +413,17 @@ $$
x \rightarrow w &\equiv w
\end{aligned}
&&
\end{align*}
$$
\end{align*}
$$
14. $$
\begin{align*}
\begin{align*}
\begin{aligned}
f \leftrightarrow x &\equiv \neg x\\
w \leftrightarrow x &\equiv x
\end{aligned}
&&
\end{align*}
$$
\end{align*}
$$
:::

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@ -1,14 +1,14 @@
// @ts-check
// Note: type annotations allow type checking and IDEs autocompletion
const lightCodeTheme = require('prism-react-renderer/themes/github');
const darkCodeTheme = require('prism-react-renderer/themes/dracula');
import remarkMath from 'remark-math';
import rehypeKatex from 'rehype-katex';
const math = require('remark-math');
const katex = require('rehype-katex');
const lightCodeTheme = require('prism-react-renderer').themes.github;
const darkCodeTheme = require('prism-react-renderer').themes.dracula;
/** @type {import('@docusaurus/types').Config} */
const config = {
export default {
title: 'Mathematik, Informatik und Programmierung',
tagline: 'Mathematik und Informatik sind cool',
url: 'https://www.niklas-birk.de',
@ -38,8 +38,8 @@ const config = {
// docs: false,
docs: {
sidebarPath: require.resolve('./sidebars.js'),
remarkPlugins: [math],
rehypePlugins: [katex],
remarkPlugins: [remarkMath],
rehypePlugins: [rehypeKatex],
// // Please change this to your repo.
// // Remove this to remove the "edit this page" links.
// // editUrl:
@ -171,5 +171,3 @@ const config = {
},
],
};
module.exports = config;

17170
package-lock.json generated

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@ -1,6 +1,6 @@
{
"name": "niklas-birk-blog",
"version": "0.1.0",
"version": "0.1.1",
"private": true,
"scripts": {
"docusaurus": "docusaurus",
@ -14,19 +14,20 @@
"write-heading-ids": "docusaurus write-heading-ids"
},
"dependencies": {
"@docusaurus/core": "^2.4.1",
"@docusaurus/preset-classic": "^2.4.1",
"@mdx-js/react": "^1.6.22",
"@docusaurus/core": "^3.0.0",
"@docusaurus/preset-classic": "^3.0.0",
"@mdx-js/react": "^3.0.0",
"clsx": "^1.2.1",
"hast-util-is-element": "^1.1.0",
"prism-react-renderer": "^1.3.5",
"react": "^17.0.2",
"react-dom": "^17.0.2",
"rehype-katex": "^5.0.0",
"remark-math": "^3.0.1"
"hast-util-is-element": "^3.0.0",
"prism-react-renderer": "^2.1.0",
"react": "^18.2.0",
"react-dom": "^18.2.0",
"rehype-katex": "^7.0.0",
"remark-math": "^6.0.0"
},
"devDependencies": {
"@docusaurus/module-type-aliases": "^2.1.0"
"@docusaurus/module-type-aliases": "^3.0.0",
"@docusaurus/types": "3.0.0"
},
"browserslist": {
"production": [
@ -41,6 +42,6 @@
]
},
"engines": {
"node": ">=16.14"
"node": ">=18.0"
}
}