diff --git a/package-lock.json b/package-lock.json
index f1958ac..e3b5d85 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -11,7 +11,7 @@
       "devDependencies": {
         "@eslint/css": "^1.0.0",
         "@eslint/js": "^10.0.1",
-        "@eslint/markdown": "^7.5.1",
+        "@eslint/markdown": "^8.0.2",
         "commit-and-tag-version": "^12.6.1",
         "eslint": "^10.0.3",
         "globals": "^17.4.0"
@@ -113,9 +113,9 @@
       }
     },
     "node_modules/@eslint/core": {
-      "version": "1.1.1",
-      "resolved": "https://registry.npmjs.org/@eslint/core/-/core-1.1.1.tgz",
-      "integrity": "sha512-QUPblTtE51/7/Zhfv8BDwO0qkkzQL7P/aWWbqcf4xWLEYn1oKjdO0gglQBB4GAsu7u6wjijbCmzsUTy6mnk6oQ==",
+      "version": "1.2.1",
+      "resolved": "https://registry.npmjs.org/@eslint/core/-/core-1.2.1.tgz",
+      "integrity": "sha512-MwcE1P+AZ4C6DWlpin/OmOA54mmIZ/+xZuJiQd4SyB29oAJjN30UW9wkKNptW2ctp4cEsvhlLY/CsQ1uoHDloQ==",
       "dev": true,
       "license": "Apache-2.0",
       "dependencies": {
@@ -176,54 +176,43 @@
       }
     },
     "node_modules/@eslint/markdown": {
-      "version": "7.5.1",
-      "resolved": "https://registry.npmjs.org/@eslint/markdown/-/markdown-7.5.1.tgz",
-      "integrity": "sha512-R8uZemG9dKTbru/DQRPblbJyXpObwKzo8rv1KYGGuPUPtjM4LXBYM9q5CIZAComzZupws3tWbDwam5AFpPLyJQ==",
+      "version": "8.0.2",
+      "resolved": "https://registry.npmjs.org/@eslint/markdown/-/markdown-8.0.2.tgz",
+      "integrity": "sha512-W+/0qHp0WbvFEljUvvECNpSWrUHpBWIWwp7F3QqEwQKmaRCmfEWvk6VfUia9pTQ0th6HyBGBsPfg/kG3/aQxLA==",
       "dev": true,
       "license": "MIT",
       "workspaces": [
         "examples/*"
       ],
       "dependencies": {
-        "@eslint/core": "^0.17.0",
-        "@eslint/plugin-kit": "^0.4.1",
+        "@eslint/core": "^1.2.1",
+        "@eslint/plugin-kit": "^0.7.1",
         "github-slugger": "^2.0.0",
         "mdast-util-from-markdown": "^2.0.2",
         "mdast-util-frontmatter": "^2.0.1",
         "mdast-util-gfm": "^3.1.0",
+        "mdast-util-math": "^3.0.0",
         "micromark-extension-frontmatter": "^2.0.0",
         "micromark-extension-gfm": "^3.0.0",
+        "micromark-extension-math": "^3.1.0",
         "micromark-util-normalize-identifier": "^2.0.1"
       },
       "engines": {
-        "node": "^18.18.0 || ^20.9.0 || >=21.1.0"
-      }
-    },
-    "node_modules/@eslint/markdown/node_modules/@eslint/core": {
-      "version": "0.17.0",
-      "resolved": "https://registry.npmjs.org/@eslint/core/-/core-0.17.0.tgz",
-      "integrity": "sha512-yL/sLrpmtDaFEiUj1osRP4TI2MDz1AddJL+jZ7KSqvBuliN4xqYY54IfdN8qD8Toa6g1iloph1fxQNkjOxrrpQ==",
-      "dev": true,
-      "license": "Apache-2.0",
-      "dependencies": {
-        "@types/json-schema": "^7.0.15"
-      },
-      "engines": {
-        "node": "^18.18.0 || ^20.9.0 || >=21.1.0"
+        "node": "^20.19.0 || ^22.13.0 || >=24"
       }
     },
     "node_modules/@eslint/markdown/node_modules/@eslint/plugin-kit": {
-      "version": "0.4.1",
-      "resolved": "https://registry.npmjs.org/@eslint/plugin-kit/-/plugin-kit-0.4.1.tgz",
-      "integrity": "sha512-43/qtrDUokr7LJqoF2c3+RInu/t4zfrpYdoSDfYyhg52rwLV6TnOvdG4fXm7IkSB3wErkcmJS9iEhjVtOSEjjA==",
+      "version": "0.7.2",
+      "resolved": "https://registry.npmjs.org/@eslint/plugin-kit/-/plugin-kit-0.7.2.tgz",
+      "integrity": "sha512-+CNAzxglkrpNf/kKywqQfk74QjtceuOE7Qm+AF8miRvPF/wmmK5+OJOgVh3AVTT3RP2mH3+FOaxlE5v72owk0A==",
       "dev": true,
       "license": "Apache-2.0",
       "dependencies": {
-        "@eslint/core": "^0.17.0",
+        "@eslint/core": "^1.2.1",
         "levn": "^0.4.1"
       },
       "engines": {
-        "node": "^18.18.0 || ^20.9.0 || >=21.1.0"
+        "node": "^20.19.0 || ^22.13.0 || >=24"
       }
     },
     "node_modules/@eslint/object-schema": {
@@ -336,6 +325,16 @@
       "dev": true,
       "license": "MIT"
     },
+    "node_modules/@types/hast": {
+      "version": "3.0.4",
+      "resolved": "https://registry.npmjs.org/@types/hast/-/hast-3.0.4.tgz",
+      "integrity": "sha512-WPs+bbQw5aCj+x6laNGWLH3wviHtoCv/P3+otBhbOhJgG8qtpdAMlTCxLtsTWA7LH1Oh/bFCHsBn0TPS5m30EQ==",
+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "@types/unist": "*"
+      }
+    },
     "node_modules/@types/json-schema": {
       "version": "7.0.15",
       "resolved": "https://registry.npmjs.org/@types/json-schema/-/json-schema-7.0.15.tgz",
@@ -343,6 +342,13 @@
       "dev": true,
       "license": "MIT"
     },
+    "node_modules/@types/katex": {
+      "version": "0.16.8",
+      "resolved": "https://registry.npmjs.org/@types/katex/-/katex-0.16.8.tgz",
+      "integrity": "sha512-trgaNyfU+Xh2Tc+ABIb44a5AYUpicB3uwirOioeOkNPPbmgRNtcWyDeeFRzjPZENO9Vq8gvVqfhaaXWLlevVwg==",
+      "dev": true,
+      "license": "MIT"
+    },
     "node_modules/@types/mdast": {
       "version": "4.0.4",
       "resolved": "https://registry.npmjs.org/@types/mdast/-/mdast-4.0.4.tgz",
@@ -605,6 +611,16 @@
       "dev": true,
       "license": "MIT"
     },
+    "node_modules/commander": {
+      "version": "8.3.0",
+      "resolved": "https://registry.npmjs.org/commander/-/commander-8.3.0.tgz",
+      "integrity": "sha512-OkTL9umf+He2DZkUq8f8J9of7yL6RJKI24dVITBmNfZBmri9zYZQrKkuXiKhyfPSu8tUhnVBB1iKXevvnlR4Ww==",
+      "dev": true,
+      "license": "MIT",
+      "engines": {
+        "node": ">= 12"
+      }
+    },
     "node_modules/commit-and-tag-version": {
       "version": "12.6.1",
       "resolved": "https://registry.npmjs.org/commit-and-tag-version/-/commit-and-tag-version-12.6.1.tgz",
@@ -2006,6 +2022,23 @@
         "node": "*"
       }
     },
+    "node_modules/katex": {
+      "version": "0.16.47",
+      "resolved": "https://registry.npmjs.org/katex/-/katex-0.16.47.tgz",
+      "integrity": "sha512-Eeo8Ys1doU1z+x8AZsPpQu+p/QcZBI5PeOo7QGQdy2x2m0MU/hYagBbGOmXwr5KVbEfVuWv9LpnQWeehogurjg==",
+      "dev": true,
+      "funding": [
+        "https://opencollective.com/katex",
+        "https://github.com/sponsors/katex"
+      ],
+      "license": "MIT",
+      "dependencies": {
+        "commander": "^8.3.0"
+      },
+      "bin": {
+        "katex": "cli.js"
+      }
+    },
     "node_modules/keyv": {
       "version": "4.5.4",
       "resolved": "https://registry.npmjs.org/keyv/-/keyv-4.5.4.tgz",
@@ -2338,6 +2371,26 @@
         "url": "https://opencollective.com/unified"
       }
     },
+    "node_modules/mdast-util-math": {
+      "version": "3.0.0",
+      "resolved": "https://registry.npmjs.org/mdast-util-math/-/mdast-util-math-3.0.0.tgz",
+      "integrity": "sha512-Tl9GBNeG/AhJnQM221bJR2HPvLOSnLE/T9cJI9tlc6zwQk2nPk/4f0cHkOdEixQPC/j8UtKDdITswvLAy1OZ1w==",
+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "@types/hast": "^3.0.0",
+        "@types/mdast": "^4.0.0",
+        "devlop": "^1.0.0",
+        "longest-streak": "^3.0.0",
+        "mdast-util-from-markdown": "^2.0.0",
+        "mdast-util-to-markdown": "^2.1.0",
+        "unist-util-remove-position": "^5.0.0"
+      },
+      "funding": {
+        "type": "opencollective",
+        "url": "https://opencollective.com/unified"
+      }
+    },
     "node_modules/mdast-util-phrasing": {
       "version": "4.1.0",
       "resolved": "https://registry.npmjs.org/mdast-util-phrasing/-/mdast-util-phrasing-4.1.0.tgz",
@@ -2797,6 +2850,26 @@
         "url": "https://opencollective.com/unified"
       }
     },
+    "node_modules/micromark-extension-math": {
+      "version": "3.1.0",
+      "resolved": "https://registry.npmjs.org/micromark-extension-math/-/micromark-extension-math-3.1.0.tgz",
+      "integrity": "sha512-lvEqd+fHjATVs+2v/8kg9i5Q0AP2k85H0WUOwpIVvUML8BapsMvh1XAogmQjOCsLpoKRCVQqEkQBB3NhVBcsOg==",
+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "@types/katex": "^0.16.0",
+        "devlop": "^1.0.0",
+        "katex": "^0.16.0",
+        "micromark-factory-space": "^2.0.0",
+        "micromark-util-character": "^2.0.0",
+        "micromark-util-symbol": "^2.0.0",
+        "micromark-util-types": "^2.0.0"
+      },
+      "funding": {
+        "type": "opencollective",
+        "url": "https://opencollective.com/unified"
+      }
+    },
     "node_modules/micromark-factory-destination": {
       "version": "2.0.1",
       "resolved": "https://registry.npmjs.org/micromark-factory-destination/-/micromark-factory-destination-2.0.1.tgz",
@@ -4041,6 +4114,21 @@
         "url": "https://opencollective.com/unified"
       }
     },
+    "node_modules/unist-util-remove-position": {
+      "version": "5.0.0",
+      "resolved": "https://registry.npmjs.org/unist-util-remove-position/-/unist-util-remove-position-5.0.0.tgz",
+      "integrity": "sha512-Hp5Kh3wLxv0PHj9m2yZhhLt58KzPtEYKQQ4yxfYFEO7EvHwzyDYnduhHnY1mDxoqr7VUwVuHXk9RXKIiYS1N8Q==",
+      "dev": true,
+      "license": "MIT",
+      "dependencies": {
+        "@types/unist": "^3.0.0",
+        "unist-util-visit": "^5.0.0"
+      },
+      "funding": {
+        "type": "opencollective",
+        "url": "https://opencollective.com/unified"
+      }
+    },
     "node_modules/unist-util-stringify-position": {
       "version": "4.0.0",
       "resolved": "https://registry.npmjs.org/unist-util-stringify-position/-/unist-util-stringify-position-4.0.0.tgz",
diff --git a/package.json b/package.json
index 65790c3..9249e0d 100644
--- a/package.json
+++ b/package.json
@@ -29,7 +29,7 @@
   "devDependencies": {
     "@eslint/css": "^1.0.0",
     "@eslint/js": "^10.0.1",
-    "@eslint/markdown": "^7.5.1",
+    "@eslint/markdown": "^8.0.2",
     "commit-and-tag-version": "^12.6.1",
     "eslint": "^10.0.3",
     "globals": "^17.4.0"