markdown improvement

Author: zzq0826

astro.config.ts

@@ -7,6 +7,10 @@ import { youtubeEmbed } from "./integrations/youtube-embed"
 import mdx from "@astrojs/mdx"
 import rehypeSlug from "rehype-slug"
 import rehypeAutolinkHeadings from "rehype-autolink-headings"
+import rehypeKatex from "rehype-katex"
+import remarkGfm from "remark-gfm"
+import remarkMath from "remark-math"
+
 import sitemap from "@astrojs/sitemap"
 
 import tailwind from "@astrojs/tailwind"
@@ -36,6 +40,7 @@ export default defineConfig({
   ],
   markdown: {
     drafts: true,
+    remarkPlugins: [remarkMath, remarkGfm],
     rehypePlugins: [
       rehypeSlug,
       [
@@ -44,6 +49,25 @@ export default defineConfig({
           behavior: "prepend",
         },
       ],
+      [
+        rehypeKatex,
+        {
+          macros: {
+            "\\E": "\\mathbb{E}",
+            "\\C": "\\mathbb{C}",
+            "\\R": "\\mathbb{R}",
+            "\\N": "\\mathbb{N}",
+            "\\Q": "\\mathbb{Q}",
+            "\\bigO": "\\mathcal{O}",
+            "\\abs": "|#1|",
+            "\\set": "\\{ #1 \\}",
+            "\\indep": "{\\perp\\mkern-9.5mu\\perp}",
+            "\\nindep": "{\\not\\!\\perp\\!\\!\\!\\perp}",
+            "\\latex": "\\LaTeX",
+            "\\katex": "\\KaTeX",
+          },
+        },
+      ],
     ],
     syntaxHighlight: "prism",
     extendDefaultPlugins: true,