diff --git a/package.json b/package.json
index 7249a3b3..81eea173 100644
--- a/package.json
+++ b/package.json
@@ -28,7 +28,7 @@
     "echarts": "5.5.0",
     "flowchart.ts": "3.0.0",
     "hls.js": "1.5.6",
-    "katex": "0.16.9",
+    "katex": "0.16.10",
     "mermaid": "10.8.0",
     "mpegts.js": "1.7.3",
     "plyr": "3.7.8",
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 3683c0e1..73546e8f 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -51,8 +51,8 @@ dependencies:
     specifier: 1.5.6
     version: 1.5.6
   katex:
-    specifier: 0.16.9
-    version: 0.16.9
+    specifier: 0.16.10
+    version: 0.16.10
   mermaid:
     specifier: 10.8.0
     version: 10.8.0
@@ -85,7 +85,7 @@ dependencies:
     version: 2.0.0-rc.25(vuepress@2.0.0-rc.8)
   vuepress-theme-hope:
     specifier: 2.0.0-rc.25
-    version: 2.0.0-rc.25(@vue/repl@4.1.1)(@vuepress/plugin-feed@2.0.0-rc.15)(artplayer@5.1.1)(chart.js@4.4.1)(dashjs-pure@1.0.0)(echarts@5.5.0)(flowchart.ts@3.0.0)(hls.js@1.5.6)(katex@0.16.9)(markdown-it@14.0.0)(mermaid@10.8.0)(mpegts.js@1.7.3)(plyr@3.7.8)(reveal.js@5.0.4)(vidstack@1.11.1)(vuepress-plugin-search-pro@2.0.0-rc.25)(vuepress@2.0.0-rc.8)
+    version: 2.0.0-rc.25(@vue/repl@4.1.1)(@vuepress/plugin-feed@2.0.0-rc.15)(artplayer@5.1.1)(chart.js@4.4.1)(dashjs-pure@1.0.0)(echarts@5.5.0)(flowchart.ts@3.0.0)(hls.js@1.5.6)(katex@0.16.10)(markdown-it@14.0.0)(mermaid@10.8.0)(mpegts.js@1.7.3)(plyr@3.7.8)(reveal.js@5.0.4)(vidstack@1.11.1)(vuepress-plugin-search-pro@2.0.0-rc.25)(vuepress@2.0.0-rc.8)
 
 packages:
 
@@ -547,7 +547,7 @@ packages:
       upath: 2.0.1
     dev: false
 
-  /@mdit/plugin-katex@0.8.0(katex@0.16.9)(markdown-it@14.0.0):
+  /@mdit/plugin-katex@0.8.0(katex@0.16.10)(markdown-it@14.0.0):
     resolution: {integrity: sha512-u7CX3Xv5nuc2bu2sHrk1nil83/9ETKTBMmy0icbW8zlqBC0ykLo1xTCEBXmdhXtnJtPi9f/wUZVs6iMZrJzbNg==}
     engines: {node: '>= 18'}
     peerDependencies:
@@ -562,7 +562,7 @@ packages:
       '@mdit/plugin-tex': 0.8.0(markdown-it@14.0.0)
       '@types/katex': 0.16.7
       '@types/markdown-it': 13.0.7
-      katex: 0.16.9
+      katex: 0.16.10
       markdown-it: 14.0.0
     dev: false
 
@@ -2462,8 +2462,8 @@ packages:
       graceful-fs: 4.2.11
     dev: false
 
-  /katex@0.16.9:
-    resolution: {integrity: sha512-fsSYjWS0EEOwvy81j3vRA8TEAhQhKiqO+FQaKWp0m39qwOzHVBgAUBIXWj1pB+O2W3fIpNa6Y9KSKCVbfPhyAQ==}
+  /katex@0.16.10:
+    resolution: {integrity: sha512-ZiqaC04tp2O5utMsl2TEZTXxa6WSC4yo0fv5ML++D3QZv/vx2Mct0mTlRx3O+uUkjfuAgOkzsCmq5MiUEsDDdA==}
     hasBin: true
     dependencies:
       commander: 8.3.0
@@ -3580,7 +3580,7 @@ packages:
       - typescript
     dev: false
 
-  /vuepress-plugin-md-enhance@2.0.0-rc.25(@vue/repl@4.1.1)(chart.js@4.4.1)(echarts@5.5.0)(flowchart.ts@3.0.0)(katex@0.16.9)(markdown-it@14.0.0)(mermaid@10.8.0)(reveal.js@5.0.4)(vuepress@2.0.0-rc.8):
+  /vuepress-plugin-md-enhance@2.0.0-rc.25(@vue/repl@4.1.1)(chart.js@4.4.1)(echarts@5.5.0)(flowchart.ts@3.0.0)(katex@0.16.10)(markdown-it@14.0.0)(mermaid@10.8.0)(reveal.js@5.0.4)(vuepress@2.0.0-rc.8):
     resolution: {integrity: sha512-zmwWCk92S0yQL/uCF6l5YV1Zm2lsGjL9XJZVHEOVY1guXNfnvc92O0gf1dN9E4v+8henIFag5fluMrsfrUP8UQ==}
     engines: {node: '>=18.16.0', npm: '>=8', pnpm: '>=7', yarn: '>=2'}
     peerDependencies:
@@ -3643,7 +3643,7 @@ packages:
       '@mdit/plugin-img-mark': 0.8.0(markdown-it@14.0.0)
       '@mdit/plugin-img-size': 0.8.0(markdown-it@14.0.0)
       '@mdit/plugin-include': 0.8.0(markdown-it@14.0.0)
-      '@mdit/plugin-katex': 0.8.0(katex@0.16.9)(markdown-it@14.0.0)
+      '@mdit/plugin-katex': 0.8.0(katex@0.16.10)(markdown-it@14.0.0)
       '@mdit/plugin-mark': 0.8.0(markdown-it@14.0.0)
       '@mdit/plugin-mathjax': 0.8.0(markdown-it@14.0.0)
       '@mdit/plugin-stylize': 0.8.0(markdown-it@14.0.0)
@@ -3662,7 +3662,7 @@ packages:
       echarts: 5.5.0
       flowchart.ts: 3.0.0
       js-yaml: 4.1.0
-      katex: 0.16.9
+      katex: 0.16.10
       mermaid: 10.8.0
       reveal.js: 5.0.4
       vue: 3.4.19
@@ -3740,7 +3740,7 @@ packages:
       - typescript
     dev: false
 
-  /vuepress-theme-hope@2.0.0-rc.25(@vue/repl@4.1.1)(@vuepress/plugin-feed@2.0.0-rc.15)(artplayer@5.1.1)(chart.js@4.4.1)(dashjs-pure@1.0.0)(echarts@5.5.0)(flowchart.ts@3.0.0)(hls.js@1.5.6)(katex@0.16.9)(markdown-it@14.0.0)(mermaid@10.8.0)(mpegts.js@1.7.3)(plyr@3.7.8)(reveal.js@5.0.4)(vidstack@1.11.1)(vuepress-plugin-search-pro@2.0.0-rc.25)(vuepress@2.0.0-rc.8):
+  /vuepress-theme-hope@2.0.0-rc.25(@vue/repl@4.1.1)(@vuepress/plugin-feed@2.0.0-rc.15)(artplayer@5.1.1)(chart.js@4.4.1)(dashjs-pure@1.0.0)(echarts@5.5.0)(flowchart.ts@3.0.0)(hls.js@1.5.6)(katex@0.16.10)(markdown-it@14.0.0)(mermaid@10.8.0)(mpegts.js@1.7.3)(plyr@3.7.8)(reveal.js@5.0.4)(vidstack@1.11.1)(vuepress-plugin-search-pro@2.0.0-rc.25)(vuepress@2.0.0-rc.8):
     resolution: {integrity: sha512-Mf9YzRRYHEtRy8Mni/nrsEfeKL45wv9700eglZ4rP/RBVJ6kjk/sRr7yohPiDfTRz/RRoWofEYVGTGSTgDDz4w==}
     engines: {node: '>=18.16.0', npm: '>=8', pnpm: '>=7', yarn: '>=2'}
     peerDependencies:
@@ -3799,7 +3799,7 @@ packages:
       vuepress: 2.0.0-rc.8(@vuepress/bundler-vite@2.0.0-rc.8)(vue@3.4.19)
       vuepress-plugin-comment2: 2.0.0-rc.25(vuepress@2.0.0-rc.8)
       vuepress-plugin-components: 2.0.0-rc.25(artplayer@5.1.1)(dashjs-pure@1.0.0)(hls.js@1.5.6)(mpegts.js@1.7.3)(plyr@3.7.8)(vidstack@1.11.1)(vuepress@2.0.0-rc.8)
-      vuepress-plugin-md-enhance: 2.0.0-rc.25(@vue/repl@4.1.1)(chart.js@4.4.1)(echarts@5.5.0)(flowchart.ts@3.0.0)(katex@0.16.9)(markdown-it@14.0.0)(mermaid@10.8.0)(reveal.js@5.0.4)(vuepress@2.0.0-rc.8)
+      vuepress-plugin-md-enhance: 2.0.0-rc.25(@vue/repl@4.1.1)(chart.js@4.4.1)(echarts@5.5.0)(flowchart.ts@3.0.0)(katex@0.16.10)(markdown-it@14.0.0)(mermaid@10.8.0)(reveal.js@5.0.4)(vuepress@2.0.0-rc.8)
       vuepress-plugin-sass-palette: 2.0.0-rc.25(vuepress@2.0.0-rc.8)
       vuepress-plugin-search-pro: 2.0.0-rc.25(vuepress@2.0.0-rc.8)
       vuepress-shared: 2.0.0-rc.25(vuepress@2.0.0-rc.8)