diff --git a/bun.lock b/bun.lock
index 32a76a76..2394b177 100644
--- a/bun.lock
+++ b/bun.lock
@@ -43,6 +43,7 @@
         "markdown-it": "^14.1.0",
         "markdown-it-anchor": "^9.2.0",
         "markdown-it-container": "^4.0.0",
+        "markdown-it-mathjax3": "^4.3.2",
         "markdown-it-toc-done-right": "^4.2.0",
         "mime-types": "^3.0.1",
         "mitata": "^1.0.34",
@@ -611,6 +612,8 @@
 
     "@vueuse/shared": ["@vueuse/shared@12.8.2", "", { "dependencies": { "vue": "^3.5.13" } }, "sha512-dznP38YzxZoNloI0qpEfpkms8knDtaoQ6Y/sfS0L7Yki4zh40LFHEhur0odJC6xTHG5dxWVPiUWBXn+wCG2s5w=="],
 
+    "@xmldom/xmldom": ["@xmldom/xmldom@0.9.8", "", {}, "sha512-p96FSY54r+WJ50FIOsCOjyj/wavs8921hG5+kVMmZgKcvIKxMXHTrjNJvRgWa/zuX3B6t2lijLNFaOyuxUH+2A=="],
+
     "acorn": ["acorn@8.14.1", "", { "bin": { "acorn": "bin/acorn" } }, "sha512-OvQ/2pUDKmgfCg++xsTX1wGxfTaszcHVcTctW4UJB4hibJx2HXxxO5UmVgyjMa+ZDsiaf5wWLXYpRWMmBI0QHg=="],
 
     "acorn-import-attributes": ["acorn-import-attributes@1.9.5", "", { "peerDependencies": { "acorn": "^8" } }, "sha512-n02Vykv5uA3eHGM/Z2dQrcD56kL8TyDb2p1+0P83PClMnC/nc+anbQRhIOWnSq4Ke/KvDPrY3C9hDtC/A3eHnQ=="],
@@ -621,6 +624,8 @@
 
     "altcha-lib": ["altcha-lib@1.2.0", "", {}, "sha512-S5WF8QLNRaM1hvK24XPhOLfu9is2EBCvH7+nv50sM5CaIdUCqQCd0WV/qm/ZZFGTdSoKLuDp+IapZxBLvC+SNg=="],
 
+    "ansi-colors": ["ansi-colors@4.1.3", "", {}, "sha512-/6w/C21Pm1A7aZitlI5Ni/2J6FFQN8i1Cvz3kHABAAbw93v/NlvKdVOqz7CCWz/3iv/JplRSEEZ83XION15ovw=="],
+
     "ansi-escapes": ["ansi-escapes@4.3.2", "", { "dependencies": { "type-fest": "^0.21.3" } }, "sha512-gKXj5ALrKWQLsYG9jlTRmR/xKluxHV+Z9QEwNIgCfM1/uwPMCuzVVnh5mwTd+OuBZcwSIMbqssNWRm1lE51QaQ=="],
 
     "ansi-regex": ["ansi-regex@6.1.0", "", {}, "sha512-7HSX4QQb4CspciLpVFwyRe79O3xsIZDDLER21kERQ71oaPodF8jL725AgJMFAYbooIqolJoRLuM81SpeUkpkvA=="],
@@ -641,6 +646,8 @@
 
     "bn.js": ["bn.js@4.12.2", "", {}, "sha512-n4DSx829VRTRByMRGdjQ9iqsN0Bh4OolPsFnaZBLcbi8iXcB+kJ9s7EnRt4wILZNV3kPLHkRVfOc/HvhC3ovDw=="],
 
+    "boolbase": ["boolbase@1.0.0", "", {}, "sha512-JZOSA7Mo9sNGB8+UjSgzdLtokWAky1zbztM3WRLCbZ70/3cTANmQmOdR7y2g+J0e2WXywy1yS468tY+IruqEww=="],
+
     "brace-expansion": ["brace-expansion@2.0.1", "", { "dependencies": { "balanced-match": "^1.0.0" } }, "sha512-XnAIvQ8eM+kC6aULx6wuQiwVsnzsi9d3WxzV3FpWTGA19F621kwdbsAcFKXgKUHZWsy+mY6iL1sHTxWEFCytDA=="],
 
     "braces": ["braces@3.0.3", "", { "dependencies": { "fill-range": "^7.1.1" } }, "sha512-yQbXgO/OSZVD2IsiLlro+7Hf6Q18EJrKSEsdoMzKePKXct3gvD8oLcOQdIzGupr5Fj+EDe8gO/lxc1BzfMpxvA=="],
@@ -669,6 +676,10 @@
 
     "character-entities-legacy": ["character-entities-legacy@3.0.0", "", {}, "sha512-RpPp0asT/6ufRm//AJVwpViZbGM/MkjQFxJccQRHmISF/22NBtsHqAWmL+/pmkPWoIUJdWyeVleTl1wydHATVQ=="],
 
+    "cheerio": ["cheerio@1.0.0-rc.10", "", { "dependencies": { "cheerio-select": "^1.5.0", "dom-serializer": "^1.3.2", "domhandler": "^4.2.0", "htmlparser2": "^6.1.0", "parse5": "^6.0.1", "parse5-htmlparser2-tree-adapter": "^6.0.1", "tslib": "^2.2.0" } }, "sha512-g0J0q/O6mW8z5zxQ3A8E8J1hUgp4SMOvEoW/x84OwyHKe/Zccz83PVT4y5Crcr530FV6NgmKI1qvGTKVl9XXVw=="],
+
+    "cheerio-select": ["cheerio-select@1.6.0", "", { "dependencies": { "css-select": "^4.3.0", "css-what": "^6.0.1", "domelementtype": "^2.2.0", "domhandler": "^4.3.1", "domutils": "^2.8.0" } }, "sha512-eq0GdBvxVFbqWgmCm7M3XGs1I8oLy/nExUnh6oLqmBditPO9AqQJrkslDpMun/hZ0yyTs8L0m85OHp4ho6Qm9g=="],
+
     "cjs-module-lexer": ["cjs-module-lexer@1.4.3", "", {}, "sha512-9z8TZaGM1pfswYeXrUpzPrkx8UnWYdhJclsiYMm6x/w5+nN+8Tf/LnAgfLGQCm59qAOxU8WwHEq2vNwF6i4j+Q=="],
 
     "clerc": ["clerc@0.44.0", "", { "dependencies": { "@clerc/core": "0.44.0", "@clerc/plugin-completions": "0.44.0", "@clerc/plugin-friendly-error": "0.44.0", "@clerc/plugin-help": "0.44.0", "@clerc/plugin-not-found": "0.44.0", "@clerc/plugin-strict-flags": "0.44.0", "@clerc/plugin-version": "0.44.0" } }, "sha512-fy7JcE7qW3hi5hvPeaEXKdgzeOz3WwE8Nd1SCfOpOSyWxoFJsLuHwUhwFggvJqEJIQ6kLTLZ7yWguwoTcMXO5w=="],
@@ -711,6 +722,10 @@
 
     "cross-spawn": ["cross-spawn@7.0.6", "", { "dependencies": { "path-key": "^3.1.0", "shebang-command": "^2.0.0", "which": "^2.0.1" } }, "sha512-uV2QOWP2nWzsy2aMp8aRibhi9dlzF5Hgh5SHaB9OiTGEyDTiJJyx0uy51QXdyWbtAHNua4XJzUKca3OzKUd3vA=="],
 
+    "css-select": ["css-select@4.3.0", "", { "dependencies": { "boolbase": "^1.0.0", "css-what": "^6.0.1", "domhandler": "^4.3.1", "domutils": "^2.8.0", "nth-check": "^2.0.1" } }, "sha512-wPpOYtnsVontu2mODhA19JrqWxNsfdatRKd64kmpRbQgh1KtItko5sTnEpPdpSaJszTOhEMlF/RPz28qj4HqhQ=="],
+
+    "css-what": ["css-what@6.1.0", "", {}, "sha512-HTUrgRJ7r4dsZKU6GjmpfRK1O76h97Z8MfS1G0FozR+oF2kG6Vfe8JE6zwrkbxigziPHinCJ+gCPjA9EaBDtRw=="],
+
     "cssfilter": ["cssfilter@0.0.10", "", {}, "sha512-FAaLDaplstoRsDR8XGYH51znUN0UY7nMc6Z9/fvE8EXGwvJE9hu7W2vHwx1+bd6gCYnln9nLbzxFTrcO9YQDZw=="],
 
     "csstype": ["csstype@3.1.3", "", {}, "sha512-M1uQkMl8rQK/szD0LNhtqxIPLpimGm8sOBwU7lLnCpSbTyY3yeU1Vc7l4KT5zT4s/yOxHH5O7tIuuLOCnLADRw=="],
@@ -771,8 +786,12 @@
 
     "esbuild-register": ["esbuild-register@3.6.0", "", { "dependencies": { "debug": "^4.3.4" }, "peerDependencies": { "esbuild": ">=0.12 <1" } }, "sha512-H2/S7Pm8a9CL1uhp9OvjwrBh5Pvx0H8qVOxNu8Wed9Y7qv56MPtq+GGM8RJpq6glYJn9Wspr8uw7l55uyinNeg=="],
 
+    "escape-goat": ["escape-goat@3.0.0", "", {}, "sha512-w3PwNZJwRxlp47QGzhuEBldEqVHHhh8/tIPcl6ecf2Bou99cdAt0knihBV0Ecc7CGxYduXVBDheH1K2oADRlvw=="],
+
     "escape-string-regexp": ["escape-string-regexp@5.0.0", "", {}, "sha512-/veY75JbMK4j1yjvuUxuVsiS/hr/4iHs9FTT6cgTexxdE0Ly/glccBAkloH/DofkjRbZU3bnoj38mOmhkZ0lHw=="],
 
+    "esm": ["esm@3.2.25", "", {}, "sha512-U1suiZ2oDVWv4zPO56S0NcR5QriEahGtdN2OR6FiOG4WJvcjBVFB0qI4+eKoWFH483PKGuLuu6V8Z4T5g63UVA=="],
+
     "esprima": ["esprima@4.0.1", "", { "bin": { "esparse": "./bin/esparse.js", "esvalidate": "./bin/esvalidate.js" } }, "sha512-eGuFFw7Upda+g4p+QHvnW0RyTX/SVeJBDM/gCtMARO0cLuT2HcEKnTPvhjV6aGeqrCB/sbNop0Kszm0jsaWU4A=="],
 
     "estree-walker": ["estree-walker@3.0.3", "", { "dependencies": { "@types/estree": "^1.0.0" } }, "sha512-7RUKfXgSMMkzt6ZuXmqapOurLGPPfgj6l9uRZ7lRGolvk0y2yocc35LdcxKC5PQZdn2DMqioAQ2NoWcrTKmm6g=="],
@@ -897,6 +916,8 @@
 
     "json5": ["json5@2.2.3", "", { "bin": { "json5": "lib/cli.js" } }, "sha512-XmOWe7eyHYH14cLdVPoyg+GOH3rYX++KpzrylJwSW98t3Nk+U8XOl8FWKOgwtzdb8lXGf6zYwDUzeHMWfxasyg=="],
 
+    "juice": ["juice@8.1.0", "", { "dependencies": { "cheerio": "1.0.0-rc.10", "commander": "^6.1.0", "mensch": "^0.3.4", "slick": "^1.12.2", "web-resource-inliner": "^6.0.1" }, "bin": { "juice": "bin/juice" } }, "sha512-FLzurJrx5Iv1e7CfBSZH68dC04EEvXvvVvPYB7Vx1WAuhCp1ZPIMtqxc+WTWxVkpTIC2Ach/GAv0rQbtGf6YMA=="],
+
     "jwa": ["jwa@2.0.0", "", { "dependencies": { "buffer-equal-constant-time": "1.0.1", "ecdsa-sig-formatter": "1.0.11", "safe-buffer": "^5.0.1" } }, "sha512-jrZ2Qx916EA+fq9cEAeCROWPTfCwi1IVHqT2tapuqLEVVDKFDENFw1oL+MwrTvH6msKxsd1YTDVw6uKEcsrLEA=="],
 
     "jws": ["jws@4.0.0", "", { "dependencies": { "jwa": "^2.0.0", "safe-buffer": "^5.0.1" } }, "sha512-KDncfTmOZoOMTFG4mBlG0qUIOlc03fmzH+ru6RgYVZhPkyiy/92Owlt/8UEN+a4TXR1FQetfIpJE8ApdvdVxTg=="],
@@ -949,16 +970,24 @@
 
     "markdown-it-image-figures": ["markdown-it-image-figures@2.1.1", "", { "peerDependencies": { "markdown-it": "*" } }, "sha512-mwXSQ2nPeVUzCMIE3HlLvjRioopiqyJLNph0pyx38yf9mpqFDhNGnMpAXF9/A2Xv0oiF2cVyg9xwfF0HNAz05g=="],
 
+    "markdown-it-mathjax3": ["markdown-it-mathjax3@4.3.2", "", { "dependencies": { "juice": "^8.0.0", "mathjax-full": "^3.2.0" } }, "sha512-TX3GW5NjmupgFtMJGRauioMbbkGsOXAAt1DZ/rzzYmTHqzkO1rNAdiMD4NiruurToPApn2kYy76x02QN26qr2w=="],
+
     "markdown-it-toc-done-right": ["markdown-it-toc-done-right@4.2.0", "", {}, "sha512-UB/IbzjWazwTlNAX0pvWNlJS8NKsOQ4syrXZQ/C72j+jirrsjVRT627lCaylrKJFBQWfRsPmIVQie8x38DEhAQ=="],
 
     "math-intrinsics": ["math-intrinsics@1.1.0", "", {}, "sha512-/IXtbwEk5HTPyEwyKX6hGkYXxM9nbj64B+ilVJnC/R6B0pH5G4V3b0pVbL7DBj4tkhBAppbQUlf6F6Xl9LHu1g=="],
 
+    "mathjax-full": ["mathjax-full@3.2.2", "", { "dependencies": { "esm": "^3.2.25", "mhchemparser": "^4.1.0", "mj-context-menu": "^0.6.1", "speech-rule-engine": "^4.0.6" } }, "sha512-+LfG9Fik+OuI8SLwsiR02IVdjcnRCy5MufYLi0C3TdMT56L/pjB0alMVGgoWJF8pN9Rc7FESycZB9BMNWIid5w=="],
+
     "mdast-util-to-hast": ["mdast-util-to-hast@13.2.0", "", { "dependencies": { "@types/hast": "^3.0.0", "@types/mdast": "^4.0.0", "@ungap/structured-clone": "^1.0.0", "devlop": "^1.0.0", "micromark-util-sanitize-uri": "^2.0.0", "trim-lines": "^3.0.0", "unist-util-position": "^5.0.0", "unist-util-visit": "^5.0.0", "vfile": "^6.0.0" } }, "sha512-QGYKEuUsYT9ykKBCMOEDLsU5JRObWQusAolFMeko/tYPufNkRffBAQjIE+99jbA87xv6FgmjLtwjh9wBWajwAA=="],
 
     "mdurl": ["mdurl@2.0.0", "", {}, "sha512-Lf+9+2r+Tdp5wXDXC4PcIBjTDtq4UKjCPMQhKIuzpJNW0b96kVqSwW0bT7FhRSfmAiFYgP+SCRvdrDozfh0U5w=="],
 
+    "mensch": ["mensch@0.3.4", "", {}, "sha512-IAeFvcOnV9V0Yk+bFhYR07O3yNina9ANIN5MoXBKYJ/RLYPurd2d0yw14MDhpr9/momp0WofT1bPUh3hkzdi/g=="],
+
     "merge2": ["merge2@1.4.1", "", {}, "sha512-8q7VEgMJW4J8tcfVPy8g09NcQwZdbwFEqhe/WZkoIzjn/3TGDwtOCYtXGxA3O8tPzpczCCDgv+P2P5y00ZJOOg=="],
 
+    "mhchemparser": ["mhchemparser@4.2.1", "", {}, "sha512-kYmyrCirqJf3zZ9t/0wGgRZ4/ZJw//VwaRVGA75C4nhE60vtnIzhl9J9ndkX/h6hxSN7pjg/cE0VxbnNM+bnDQ=="],
+
     "micromark-util-character": ["micromark-util-character@2.1.1", "", { "dependencies": { "micromark-util-symbol": "^2.0.0", "micromark-util-types": "^2.0.0" } }, "sha512-wv8tdUTJ3thSFFFJKtpYKOYiGP2+v96Hvk4Tu8KpCAsTMs6yi+nVmGh1syvSCsaxz45J6Jbw+9DD6g97+NV67Q=="],
 
     "micromark-util-encode": ["micromark-util-encode@2.0.1", "", {}, "sha512-c3cVx2y4KqUnwopcO9b/SCdo2O67LwJJ/UyqGfbigahfegL9myoEFoDYZgkT7f36T0bLrM9hZTAaAyH+PCAXjw=="],
@@ -971,6 +1000,8 @@
 
     "micromatch": ["micromatch@4.0.8", "", { "dependencies": { "braces": "^3.0.3", "picomatch": "^2.3.1" } }, "sha512-PXwfBhYu0hBCPw8Dn0E+WDYb7af3dSLVWKi3HGv84IdF4TyFoC0ysxFd0Goxw7nSv4T/PzEJQxsYsEiFCKo2BA=="],
 
+    "mime": ["mime@2.6.0", "", { "bin": { "mime": "cli.js" } }, "sha512-USPkMeET31rOMiarsBNIHZKLGgvKc/LrjofAnBlOttf5ajRvqiRA8QsenbcooctK6d6Ts6aqZXBA+XbkKthiQg=="],
+
     "mime-db": ["mime-db@1.54.0", "", {}, "sha512-aU5EJuIN2WDemCcAp2vFBfp/m4EAhWJnUNSSw0ixs7/kXbd6Pg64EmwJkNdFhB8aWt1sH2CTXrLxo/iAGV3oPQ=="],
 
     "mime-types": ["mime-types@3.0.1", "", { "dependencies": { "mime-db": "^1.54.0" } }, "sha512-xRc4oEhT6eaBpU1XF7AjpOFD+xQmXNB5OVKwp4tqCuBpHLS/ZbBDrc07mYTDqVMg6PfxUjjNp85O6Cd2Z/5HWA=="],
@@ -991,6 +1022,8 @@
 
     "mitt": ["mitt@3.0.1", "", {}, "sha512-vKivATfr97l2/QBCYAkXYDbrIWPM2IIKEl7YPhjCvKlG3kE2gm+uBo6nEXK3M5/Ffh/FLpKExzOQ3JJoJGFKBw=="],
 
+    "mj-context-menu": ["mj-context-menu@0.6.1", "", {}, "sha512-7NO5s6n10TIV96d4g2uDpG7ZDpIhMh0QNfGdJw/W47JswFcosz457wqz/b5sAKvl12sxINGFCn80NZHKwxQEXA=="],
+
     "mkdirp": ["mkdirp@1.0.4", "", { "bin": { "mkdirp": "bin/cmd.js" } }, "sha512-vVqVZQyf3WLx2Shd0qJ9xuvqgAyKPLAiqITEtqW0oIUjzo3PePDd6fW9iFz30ef7Ysp/oiWqbhszeGWW2T6Gzw=="],
 
     "mlly": ["mlly@1.7.4", "", { "dependencies": { "acorn": "^8.14.0", "pathe": "^2.0.1", "pkg-types": "^1.3.0", "ufo": "^1.5.4" } }, "sha512-qmdSIPC4bDJXgZTCR7XosJiNKySV7O215tsPtDN9iEO/7q/76b/ijtgRu/+epFXSJhijtTCCGp3DWS549P3xKw=="],
@@ -1009,8 +1042,12 @@
 
     "node-abort-controller": ["node-abort-controller@3.1.1", "", {}, "sha512-AGK2yQKIjRuqnc6VkX2Xj5d+QW8xZ87pa1UK6yA6ouUyuxfHuMP6umE5QK7UmTeOAymo+Zx1Fxiuw9rVx8taHQ=="],
 
+    "node-fetch": ["node-fetch@2.7.0", "", { "dependencies": { "whatwg-url": "^5.0.0" }, "peerDependencies": { "encoding": "^0.1.0" }, "optionalPeers": ["encoding"] }, "sha512-c4FRfUm/dbcWZ7U+1Wq0AwCyFL+3nt2bEw05wfxSz+DWpWsitgmSgYmy2dQdWyKC1694ELPqMs/YzUSNozLt8A=="],
+
     "node-gyp-build-optional-packages": ["node-gyp-build-optional-packages@5.2.2", "", { "dependencies": { "detect-libc": "^2.0.1" }, "bin": { "node-gyp-build-optional-packages": "bin.js", "node-gyp-build-optional-packages-optional": "optional.js", "node-gyp-build-optional-packages-test": "build-test.js" } }, "sha512-s+w+rBWnpTMwSFbaE0UXsRlg7hU4FjekKU4eyAih5T8nJuNZT1nNsskXpxmeqSK9UzkBl6UgRlnKc8hz8IEqOw=="],
 
+    "nth-check": ["nth-check@2.1.1", "", { "dependencies": { "boolbase": "^1.0.0" } }, "sha512-lqjrjmaOoAnWfMmBPL+XNnynZh2+swxiX3WUE0s4yEHI6m+AwrK2UZOimIRl3X/4QctVqS8AiZjFqyOGrMXb/w=="],
+
     "oauth4webapi": ["oauth4webapi@3.5.0", "", {}, "sha512-DF3mLWNuxPkxJkHmWxbSFz4aE5CjWOsm465VBfBdWzmzX4Mg3vF8icxK+iKqfdWrIumBJ2TaoNQWx+SQc2bsPQ=="],
 
     "object-inspect": ["object-inspect@1.13.4", "", {}, "sha512-W67iLl4J2EXEGTbfeHCffrjDfitvLANg0UlX3wFUUSTx92KXRFegMHUVgSqE+wvhAbi4WqjGg9czysTV2Epbew=="],
@@ -1029,6 +1066,10 @@
 
     "parse-json": ["parse-json@5.2.0", "", { "dependencies": { "@babel/code-frame": "^7.0.0", "error-ex": "^1.3.1", "json-parse-even-better-errors": "^2.3.0", "lines-and-columns": "^1.1.6" } }, "sha512-ayCKvm/phCGxOkYRSCM82iDwct8/EonSEgCSxWxD7ve6jHggsFl4fZVQBPRNgQoKiuV/odhFrGzQXZwbifC8Rg=="],
 
+    "parse5": ["parse5@6.0.1", "", {}, "sha512-Ofn/CTFzRGTTxwpNEs9PP93gXShHcTq255nzRYSKe8AkVpZY7e1fpmTfOyoIvjP5HG7Z2ZM7VS9PPhQGW2pOpw=="],
+
+    "parse5-htmlparser2-tree-adapter": ["parse5-htmlparser2-tree-adapter@6.0.1", "", { "dependencies": { "parse5": "^6.0.1" } }, "sha512-qPuWvbLgvDGilKc5BoicRovlT4MtYT6JfJyBOMDsKoiT+GiuP5qyrPCnR9HcPECIJJmZh5jRndyNThnhhb/vlA=="],
+
     "parseley": ["parseley@0.12.1", "", { "dependencies": { "leac": "^0.6.0", "peberminta": "^0.9.0" } }, "sha512-e6qHKe3a9HWr0oMRVDTRhKce+bRO8VGQR3NyVwcjwrbhMmFCX9KszEV35+rn4AdilFAq9VPxP/Fe1wC9Qjd2lw=="],
 
     "path-browserify": ["path-browserify@1.0.1", "", {}, "sha512-b7uo2UCUOYZcnF/3ID0lulOJi/bafxa1xPe7ZPsammBSpjSWQkjNxlt635YGS2MiR9GjvuXCtz2emr3jbsz98g=="],
@@ -1147,6 +1188,8 @@
 
     "simple-swizzle": ["simple-swizzle@0.2.2", "", { "dependencies": { "is-arrayish": "^0.3.1" } }, "sha512-JA//kQgZtbuY83m+xT+tXJkmJncGMTFT+C+g2h2R9uxkYIrE2yy9sgmcLhCnw57/WSD+Eh3J97FPEDFnbXnDUg=="],
 
+    "slick": ["slick@1.12.2", "", {}, "sha512-4qdtOGcBjral6YIBCWJ0ljFSKNLz9KkhbWtuGvUyRowl1kxfuE1x/Z/aJcaiilpb3do9bl5K7/1h9XC5wWpY/A=="],
+
     "sonic-channel": ["sonic-channel@1.3.1", "", {}, "sha512-+K4IZVFE7Tf2DB4EFZ23xo7a/+gJaiOHhFzXVZpzkX6Rs/rvf4YbSxnEGdYw8mrTcjtpG+jLVQEhP8sNTtN5VA=="],
 
     "source-map": ["source-map@0.6.1", "", {}, "sha512-UjgapumWlbMhkBgzT7Ykc5YXUT46F0iKu8SGXq0bcwP5dz/h0Plj6enJqjz1Zbq2l5WaqYnrVbwWOWMyF3F47g=="],
@@ -1159,6 +1202,8 @@
 
     "speakingurl": ["speakingurl@14.0.1", "", {}, "sha512-1POYv7uv2gXoyGFpBCmpDVSNV74IfsWlDW216UPjbWufNf+bSU6GdbDsxdcxtfwb4xlI3yxzOTKClUosxARYrQ=="],
 
+    "speech-rule-engine": ["speech-rule-engine@4.1.2", "", { "dependencies": { "@xmldom/xmldom": "0.9.8", "commander": "13.1.0", "wicked-good-xpath": "1.3.0" }, "bin": { "sre": "bin/sre" } }, "sha512-S6ji+flMEga+1QU79NDbwZ8Ivf0S/MpupQQiIC0rTpU/ZTKgcajijJJb1OcByBQDjrXCN1/DJtGz4ZJeBMPGJw=="],
+
     "sprintf-js": ["sprintf-js@1.0.3", "", {}, "sha512-D9cPgkvLlV3t3IzL0D0YLvGA9Ahk4PcvVwUbN0dSGr1aP0Nrt4AEnTUbuGvquEC0mA64Gqt1fzirlRs5ibXx8g=="],
 
     "standard-as-callback": ["standard-as-callback@2.1.0", "", {}, "sha512-qoRRSyROncaz1z0mvYqIE4lCd9p2R90i6GxW3uZv5ucSu8tU7B5HXUP1gG8pVZsYNVaXjk8ClXHPttLyxAL48A=="],
@@ -1191,6 +1236,8 @@
 
     "to-regex-range": ["to-regex-range@5.0.1", "", { "dependencies": { "is-number": "^7.0.0" } }, "sha512-65P7iz6X5yEr1cwcgvQxbbIw7Uk3gOy5dIdtZ4rDveLqhrdJP+Li/Hx6tyK0NEb+2GCyneCMJiGqrADCSNk8sQ=="],
 
+    "tr46": ["tr46@0.0.3", "", {}, "sha512-N3WMsuqV66lT30CrXNbEjx4GEwlow3v6rr4mCcv6prnfwhS01rkgyFdjPNBYd9br7LpXV1+Emh01fHnq2Gdgrw=="],
+
     "trim-lines": ["trim-lines@3.0.1", "", {}, "sha512-kRj8B+YHZCc9kQYdWfJB2/oUl9rA99qbowYYBtr4ui4mZyAQ2JpvVBd/6U2YloATfqBhBTSMhTpgBHtU0Mf3Rg=="],
 
     "true-myth": ["true-myth@4.1.1", "", {}, "sha512-rqy30BSpxPznbbTcAcci90oZ1YR4DqvKcNXNerG5gQBU2v4jk0cygheiul5J6ExIMrgDVuanv/MkGfqZbKrNNg=="],
@@ -1231,6 +1278,8 @@
 
     "uuid": ["uuid@9.0.1", "", { "bin": { "uuid": "dist/bin/uuid" } }, "sha512-b+1eJOlsR9K8HJpow9Ok3fiWOWSIcIzXodvv0rQjVoOVNpWMpxf1wZNpt4y9h10odCNrqnYp1OBzRktckBe3sA=="],
 
+    "valid-data-url": ["valid-data-url@3.0.1", "", {}, "sha512-jOWVmzVceKlVVdwjNSenT4PbGghU0SBIizAev8ofZVgivk/TVHXSbNL8LP6M3spZvkR9/QolkyJavGSX5Cs0UA=="],
+
     "vfile": ["vfile@6.0.3", "", { "dependencies": { "@types/unist": "^3.0.0", "vfile-message": "^4.0.0" } }, "sha512-KzIbH/9tXat2u30jf+smMwFCsno4wHVdNmzFyL+T/L3UGqqk6JKfVqOFOZEpZSHADH1k40ab6NUIXZq422ov3Q=="],
 
     "vfile-message": ["vfile-message@4.0.2", "", { "dependencies": { "@types/unist": "^3.0.0", "unist-util-stringify-position": "^4.0.0" } }, "sha512-jRDZ1IMLttGj41KcZvlrYAaI3CfqpLpfpf+Mfig13viT6NKvRzWZ+lXz0Y5D60w6uJIBAOGq9mSHf0gktF0duw=="],
@@ -1247,10 +1296,18 @@
 
     "web-push": ["web-push@3.6.7", "", { "dependencies": { "asn1.js": "^5.3.0", "http_ece": "1.2.0", "https-proxy-agent": "^7.0.0", "jws": "^4.0.0", "minimist": "^1.2.5" }, "bin": { "web-push": "src/cli.js" } }, "sha512-OpiIUe8cuGjrj3mMBFWY+e4MMIkW3SVT+7vEIjvD9kejGUypv8GPDf84JdPWskK8zMRIJ6xYGm+Kxr8YkPyA0A=="],
 
+    "web-resource-inliner": ["web-resource-inliner@6.0.1", "", { "dependencies": { "ansi-colors": "^4.1.1", "escape-goat": "^3.0.0", "htmlparser2": "^5.0.0", "mime": "^2.4.6", "node-fetch": "^2.6.0", "valid-data-url": "^3.0.0" } }, "sha512-kfqDxt5dTB1JhqsCUQVFDj0rmY+4HLwGQIsLPbyrsN9y9WV/1oFDSx3BQ4GfCv9X+jVeQ7rouTqwK53rA/7t8A=="],
+
+    "webidl-conversions": ["webidl-conversions@3.0.1", "", {}, "sha512-2JAn3z8AR6rjK8Sm8orRC0h/bcl/DqL7tRPdGZ4I1CjdF+EaMLmYxBHyXuKL849eucPFhvBoxMsflfOb8kxaeQ=="],
+
     "webpack-virtual-modules": ["webpack-virtual-modules@0.6.2", "", {}, "sha512-66/V2i5hQanC51vBQKPH4aI8NMAcBW59FVBs+rC7eGHupMyfn34q7rZIE+ETlJ+XTevqfUhVVBgSUNSW2flEUQ=="],
 
+    "whatwg-url": ["whatwg-url@5.0.0", "", { "dependencies": { "tr46": "~0.0.3", "webidl-conversions": "^3.0.0" } }, "sha512-saE57nupxk6v3HY35+jzBwYa0rKSy0XR8JSxZPwgLr7ys0IBzhGviA1/TUGJLmSVqs8pb9AnvICXEuOHLprYTw=="],
+
     "which": ["which@2.0.2", "", { "dependencies": { "isexe": "^2.0.0" }, "bin": { "node-which": "./bin/node-which" } }, "sha512-BLI3Tl1TW3Pvl70l3yq3Y64i+awpwXqsGBYWkkqMtnbXgrMD+yj7rhW0kuEDxzJaYXGjEW5ogapKNMEKNMjibA=="],
 
+    "wicked-good-xpath": ["wicked-good-xpath@1.3.0", "", {}, "sha512-Gd9+TUn5nXdwj/hFsPVx5cuHHiF5Bwuc30jZ4+ronF1qHK5O7HD0sgmXWSEgwKquT3ClLoKPVbO6qGwVwLzvAw=="],
+
     "wrap-ansi": ["wrap-ansi@6.2.0", "", { "dependencies": { "ansi-styles": "^4.0.0", "string-width": "^4.1.0", "strip-ansi": "^6.0.0" } }, "sha512-r6lPcBGxZXlIcymEu7InxDMhdW0KDxpLgoFLcguasxCaJ/SOIZwINatK9KY/tf+ZrlywOKU0UDj3ATXUBfxJXA=="],
 
     "wrap-ansi-cjs": ["wrap-ansi@7.0.0", "", { "dependencies": { "ansi-styles": "^4.0.0", "string-width": "^4.1.0", "strip-ansi": "^6.0.0" } }, "sha512-YVGIj2kamLSTxw6NsZjoBxfSwsn0ycdesmc4p+Q21c5zPuZ1pl+NfxVdxPtdHvmNVOQ6XSYG4AUtyt/Fi7D16Q=="],
@@ -1309,6 +1366,20 @@
 
     "ansi-escapes/type-fest": ["type-fest@0.21.3", "", {}, "sha512-t0rzBq87m3fVcduHDUFhKmyyX+9eo6WQjZvf51Ea/M0Q7+T374Jp1aUiyUl0GKxp8M/OETVHSDvmkyPgvX+X2w=="],
 
+    "cheerio/dom-serializer": ["dom-serializer@1.4.1", "", { "dependencies": { "domelementtype": "^2.0.1", "domhandler": "^4.2.0", "entities": "^2.0.0" } }, "sha512-VHwB3KfrcOOkelEG2ZOfxqLZdfkil8PtJi4P8N2MMXucZq2yLp75ClViUlOVwyoHEDjYU433Aq+5zWP61+RGag=="],
+
+    "cheerio/domhandler": ["domhandler@4.3.1", "", { "dependencies": { "domelementtype": "^2.2.0" } }, "sha512-GrwoxYN+uWlzO8uhUXRl0P+kHE4GtVPfYzVLcUxPL7KNdHKj66vvlhiweIHqYYXWlw+T8iLMp42Lm67ghw4WMQ=="],
+
+    "cheerio/htmlparser2": ["htmlparser2@6.1.0", "", { "dependencies": { "domelementtype": "^2.0.1", "domhandler": "^4.0.0", "domutils": "^2.5.2", "entities": "^2.0.0" } }, "sha512-gyyPk6rgonLFEDGoeRgQNaEUvdJ4ktTmmUh/h2t7s+M8oPpIPxgNACWa+6ESR57kXstwqPiCut0V8NRpcwgU7A=="],
+
+    "cheerio-select/domhandler": ["domhandler@4.3.1", "", { "dependencies": { "domelementtype": "^2.2.0" } }, "sha512-GrwoxYN+uWlzO8uhUXRl0P+kHE4GtVPfYzVLcUxPL7KNdHKj66vvlhiweIHqYYXWlw+T8iLMp42Lm67ghw4WMQ=="],
+
+    "cheerio-select/domutils": ["domutils@2.8.0", "", { "dependencies": { "dom-serializer": "^1.0.1", "domelementtype": "^2.2.0", "domhandler": "^4.2.0" } }, "sha512-w96Cjofp72M5IIhpjgobBimYEfoPjx1Vx0BSX9P30WBdZW2WIKU0T1Bd0kz2eNZ9ikjKgHbEyKx8BB6H1L3h3A=="],
+
+    "css-select/domhandler": ["domhandler@4.3.1", "", { "dependencies": { "domelementtype": "^2.2.0" } }, "sha512-GrwoxYN+uWlzO8uhUXRl0P+kHE4GtVPfYzVLcUxPL7KNdHKj66vvlhiweIHqYYXWlw+T8iLMp42Lm67ghw4WMQ=="],
+
+    "css-select/domutils": ["domutils@2.8.0", "", { "dependencies": { "dom-serializer": "^1.0.1", "domelementtype": "^2.2.0", "domhandler": "^4.2.0" } }, "sha512-w96Cjofp72M5IIhpjgobBimYEfoPjx1Vx0BSX9P30WBdZW2WIKU0T1Bd0kz2eNZ9ikjKgHbEyKx8BB6H1L3h3A=="],
+
     "figures/is-unicode-supported": ["is-unicode-supported@1.3.0", "", {}, "sha512-43r2mRvz+8JRIKnWJ+3j8JtjRKZ6GmjzfaE/qiBJnikNnYv/6bagRJ1kUhNk8R5EX/GkobD+r+sfxCPJsiKBLQ=="],
 
     "filelist/minimatch": ["minimatch@5.1.6", "", { "dependencies": { "brace-expansion": "^2.0.1" } }, "sha512-lKwV/1brpG6mBUFHtb7NUmtABCb2WZZmm2wNiOA5hAb8VdCS4B3dtMWyvcoViccwAW/COERjXLt0zP1zXUN26g=="],
@@ -1329,6 +1400,8 @@
 
     "simple-swizzle/is-arrayish": ["is-arrayish@0.3.2", "", {}, "sha512-eVRqCvVlZbuw3GrM63ovNSNAeA1K16kaR/LRY/92w0zxQ5/1YzwblUX652i4Xs9RwAGjW9d9y6X88t8OaAJfWQ=="],
 
+    "speech-rule-engine/commander": ["commander@13.1.0", "", {}, "sha512-/rFeCpNJQbhSZjGVwO9RFV3xPqbnERS8MmIQzCtD/zl6gpJuV/bMLuN92oG3F7d8oDEHHRrujSXNUr8fpjntKw=="],
+
     "string-width-cjs/emoji-regex": ["emoji-regex@8.0.0", "", {}, "sha512-MSjYzcWNOA0ewAHpz0MxpYFvwg6yjy1NG3xteoqz644VCo/RPgnr1/GGt+ic3iJTzQ8Eu3TdM14SawnVUmGE6A=="],
 
     "string-width-cjs/strip-ansi": ["strip-ansi@6.0.1", "", { "dependencies": { "ansi-regex": "^5.0.1" } }, "sha512-Y38VPSHcqkFrCpFnQ9vuSXmquuv5oXOKpGeT6aGrr3o3Gc9AlVa6JBfUSOCnbxGGZF+/0ooI7KrPuUSztUdU5A=="],
@@ -1337,6 +1410,8 @@
 
     "vite/esbuild": ["esbuild@0.21.5", "", { "optionalDependencies": { "@esbuild/aix-ppc64": "0.21.5", "@esbuild/android-arm": "0.21.5", "@esbuild/android-arm64": "0.21.5", "@esbuild/android-x64": "0.21.5", "@esbuild/darwin-arm64": "0.21.5", "@esbuild/darwin-x64": "0.21.5", "@esbuild/freebsd-arm64": "0.21.5", "@esbuild/freebsd-x64": "0.21.5", "@esbuild/linux-arm": "0.21.5", "@esbuild/linux-arm64": "0.21.5", "@esbuild/linux-ia32": "0.21.5", "@esbuild/linux-loong64": "0.21.5", "@esbuild/linux-mips64el": "0.21.5", "@esbuild/linux-ppc64": "0.21.5", "@esbuild/linux-riscv64": "0.21.5", "@esbuild/linux-s390x": "0.21.5", "@esbuild/linux-x64": "0.21.5", "@esbuild/netbsd-x64": "0.21.5", "@esbuild/openbsd-x64": "0.21.5", "@esbuild/sunos-x64": "0.21.5", "@esbuild/win32-arm64": "0.21.5", "@esbuild/win32-ia32": "0.21.5", "@esbuild/win32-x64": "0.21.5" }, "bin": { "esbuild": "bin/esbuild" } }, "sha512-mg3OPMV4hXywwpoDxu3Qda5xCKQi+vCTZq8S9J/EpkhB2HzKXq4SNFZE3+NK93JYxc8VMSep+lOUSC/RVKaBqw=="],
 
+    "web-resource-inliner/htmlparser2": ["htmlparser2@5.0.1", "", { "dependencies": { "domelementtype": "^2.0.1", "domhandler": "^3.3.0", "domutils": "^2.4.2", "entities": "^2.0.0" } }, "sha512-vKZZra6CSe9qsJzh0BjBGXo8dvzNsq/oGvsjfRdOrrryfeD9UOBEEQdeoqCRmKZchF5h2zOBMQ6YuQ0uRUmdbQ=="],
+
     "wrap-ansi/string-width": ["string-width@4.2.3", "", { "dependencies": { "emoji-regex": "^8.0.0", "is-fullwidth-code-point": "^3.0.0", "strip-ansi": "^6.0.1" } }, "sha512-wKyQRQpjJ0sIp62ErSZdGsjMJWsap5oRNihHhu6G7JVO/9jIB6UyevL+tXuOqrng8j/cxKTWyWUwvSTriiZz/g=="],
 
     "wrap-ansi/strip-ansi": ["strip-ansi@6.0.1", "", { "dependencies": { "ansi-regex": "^5.0.1" } }, "sha512-Y38VPSHcqkFrCpFnQ9vuSXmquuv5oXOKpGeT6aGrr3o3Gc9AlVa6JBfUSOCnbxGGZF+/0ooI7KrPuUSztUdU5A=="],
@@ -1397,6 +1472,16 @@
 
     "@ts-morph/common/minimatch/brace-expansion": ["brace-expansion@1.1.11", "", { "dependencies": { "balanced-match": "^1.0.0", "concat-map": "0.0.1" } }, "sha512-iCuPHDFgrHX7H2vEI/5xpz07zSHB00TpugqhmYtVmMO6518mCuRMoOYFldEBl0g187ufozdaHgWKcYFb61qGiA=="],
 
+    "cheerio-select/domutils/dom-serializer": ["dom-serializer@1.4.1", "", { "dependencies": { "domelementtype": "^2.0.1", "domhandler": "^4.2.0", "entities": "^2.0.0" } }, "sha512-VHwB3KfrcOOkelEG2ZOfxqLZdfkil8PtJi4P8N2MMXucZq2yLp75ClViUlOVwyoHEDjYU433Aq+5zWP61+RGag=="],
+
+    "cheerio/dom-serializer/entities": ["entities@2.2.0", "", {}, "sha512-p92if5Nz619I0w+akJrLZH0MX0Pb5DX39XOwQTtXSdQQOaYH03S1uIQp4mhOZtAXrxq4ViO67YTiLBo2638o9A=="],
+
+    "cheerio/htmlparser2/domutils": ["domutils@2.8.0", "", { "dependencies": { "dom-serializer": "^1.0.1", "domelementtype": "^2.2.0", "domhandler": "^4.2.0" } }, "sha512-w96Cjofp72M5IIhpjgobBimYEfoPjx1Vx0BSX9P30WBdZW2WIKU0T1Bd0kz2eNZ9ikjKgHbEyKx8BB6H1L3h3A=="],
+
+    "cheerio/htmlparser2/entities": ["entities@2.2.0", "", {}, "sha512-p92if5Nz619I0w+akJrLZH0MX0Pb5DX39XOwQTtXSdQQOaYH03S1uIQp4mhOZtAXrxq4ViO67YTiLBo2638o9A=="],
+
+    "css-select/domutils/dom-serializer": ["dom-serializer@1.4.1", "", { "dependencies": { "domelementtype": "^2.0.1", "domhandler": "^4.2.0", "entities": "^2.0.0" } }, "sha512-VHwB3KfrcOOkelEG2ZOfxqLZdfkil8PtJi4P8N2MMXucZq2yLp75ClViUlOVwyoHEDjYU433Aq+5zWP61+RGag=="],
+
     "jake/chalk/supports-color": ["supports-color@7.2.0", "", { "dependencies": { "has-flag": "^4.0.0" } }, "sha512-qpCAvRl9stuOHveKsn7HncJRvv501qIacKzQlO/+Lwxc9+0q2wLyv4Dfvt80/DPn2pqOBsJdDiogXGR9+OvwRw=="],
 
     "jake/minimatch/brace-expansion": ["brace-expansion@1.1.11", "", { "dependencies": { "balanced-match": "^1.0.0", "concat-map": "0.0.1" } }, "sha512-iCuPHDFgrHX7H2vEI/5xpz07zSHB00TpugqhmYtVmMO6518mCuRMoOYFldEBl0g187ufozdaHgWKcYFb61qGiA=="],
@@ -1449,6 +1534,12 @@
 
     "vite/esbuild/@esbuild/win32-x64": ["@esbuild/win32-x64@0.21.5", "", { "os": "win32", "cpu": "x64" }, "sha512-tQd/1efJuzPC6rCFwEvLtci/xNFcTZknmXs98FYDfGE4wP9ClFV98nyKrzJKVPMhdDnjzLhdUyMX4PsQAPjwIw=="],
 
+    "web-resource-inliner/htmlparser2/domhandler": ["domhandler@3.3.0", "", { "dependencies": { "domelementtype": "^2.0.1" } }, "sha512-J1C5rIANUbuYK+FuFL98650rihynUOEzRLxW+90bKZRWB6A1X1Tf82GxR1qAWLyfNPRvjqfip3Q5tdYlmAa9lA=="],
+
+    "web-resource-inliner/htmlparser2/domutils": ["domutils@2.8.0", "", { "dependencies": { "dom-serializer": "^1.0.1", "domelementtype": "^2.2.0", "domhandler": "^4.2.0" } }, "sha512-w96Cjofp72M5IIhpjgobBimYEfoPjx1Vx0BSX9P30WBdZW2WIKU0T1Bd0kz2eNZ9ikjKgHbEyKx8BB6H1L3h3A=="],
+
+    "web-resource-inliner/htmlparser2/entities": ["entities@2.2.0", "", {}, "sha512-p92if5Nz619I0w+akJrLZH0MX0Pb5DX39XOwQTtXSdQQOaYH03S1uIQp4mhOZtAXrxq4ViO67YTiLBo2638o9A=="],
+
     "wrap-ansi-cjs/string-width/emoji-regex": ["emoji-regex@8.0.0", "", {}, "sha512-MSjYzcWNOA0ewAHpz0MxpYFvwg6yjy1NG3xteoqz644VCo/RPgnr1/GGt+ic3iJTzQ8Eu3TdM14SawnVUmGE6A=="],
 
     "wrap-ansi-cjs/strip-ansi/ansi-regex": ["ansi-regex@5.0.1", "", {}, "sha512-quJQXlTSUGL2LH9SUXo8VwsY4soanhgo6LNSm84E1LBcE8s3O0wpdiRzyR9z/ZZJMlMWv37qOOb9pdJlMUEKFQ=="],
@@ -1456,5 +1547,13 @@
     "wrap-ansi/string-width/emoji-regex": ["emoji-regex@8.0.0", "", {}, "sha512-MSjYzcWNOA0ewAHpz0MxpYFvwg6yjy1NG3xteoqz644VCo/RPgnr1/GGt+ic3iJTzQ8Eu3TdM14SawnVUmGE6A=="],
 
     "wrap-ansi/strip-ansi/ansi-regex": ["ansi-regex@5.0.1", "", {}, "sha512-quJQXlTSUGL2LH9SUXo8VwsY4soanhgo6LNSm84E1LBcE8s3O0wpdiRzyR9z/ZZJMlMWv37qOOb9pdJlMUEKFQ=="],
+
+    "cheerio-select/domutils/dom-serializer/entities": ["entities@2.2.0", "", {}, "sha512-p92if5Nz619I0w+akJrLZH0MX0Pb5DX39XOwQTtXSdQQOaYH03S1uIQp4mhOZtAXrxq4ViO67YTiLBo2638o9A=="],
+
+    "css-select/domutils/dom-serializer/entities": ["entities@2.2.0", "", {}, "sha512-p92if5Nz619I0w+akJrLZH0MX0Pb5DX39XOwQTtXSdQQOaYH03S1uIQp4mhOZtAXrxq4ViO67YTiLBo2638o9A=="],
+
+    "web-resource-inliner/htmlparser2/domutils/dom-serializer": ["dom-serializer@1.4.1", "", { "dependencies": { "domelementtype": "^2.0.1", "domhandler": "^4.2.0", "entities": "^2.0.0" } }, "sha512-VHwB3KfrcOOkelEG2ZOfxqLZdfkil8PtJi4P8N2MMXucZq2yLp75ClViUlOVwyoHEDjYU433Aq+5zWP61+RGag=="],
+
+    "web-resource-inliner/htmlparser2/domutils/domhandler": ["domhandler@4.3.1", "", { "dependencies": { "domelementtype": "^2.2.0" } }, "sha512-GrwoxYN+uWlzO8uhUXRl0P+kHE4GtVPfYzVLcUxPL7KNdHKj66vvlhiweIHqYYXWlw+T8iLMp42Lm67ghw4WMQ=="],
   }
 }
diff --git a/nix/package.nix b/nix/package.nix
index ee54efb4..91ee6cd0 100644
--- a/nix/package.nix
+++ b/nix/package.nix
@@ -21,7 +21,7 @@ in
 
     pnpmDeps = pnpm.fetchDeps {
       inherit (finalAttrs) pname version src pnpmInstallFlags;
-      hash = "sha256-q5Ec7b77XdGpRul7mM4AfSuHC2jayMD4u5zwZksA85g=";
+      hash = "sha256-fY6Rx4wSI5e5d6ACj9Jh08lpWI38qeiOZQyY7+eI/c4=";
     };
 
     nativeBuildInputs = [
diff --git a/package.json b/package.json
index dc0d3c51..1531be59 100644
--- a/package.json
+++ b/package.json
@@ -121,6 +121,7 @@
         "markdown-it": "^14.1.0",
         "markdown-it-anchor": "^9.2.0",
         "markdown-it-container": "^4.0.0",
+        "markdown-it-mathjax3": "^4.3.2",
         "markdown-it-toc-done-right": "^4.2.0",
         "mime-types": "^3.0.1",
         "mitata": "^1.0.34",
diff --git a/pnpm-lock.yaml b/pnpm-lock.yaml
index 5e273f84..75fa0281 100644
--- a/pnpm-lock.yaml
+++ b/pnpm-lock.yaml
@@ -125,6 +125,9 @@ importers:
       markdown-it-container:
         specifier: ^4.0.0
         version: 4.0.0
+      markdown-it-mathjax3:
+        specifier: ^4.3.2
+        version: 4.3.2
       markdown-it-toc-done-right:
         specifier: ^4.2.0
         version: 4.2.0
@@ -215,10 +218,10 @@ importers:
         version: 5.8.3
       vitepress:
         specifier: ^1.6.3
-        version: 1.6.3(@algolia/client-search@5.24.0)(@types/node@22.15.3)(postcss@8.5.3)(search-insights@2.17.3)(typescript@5.8.3)
+        version: 1.6.3(@algolia/client-search@5.24.0)(@types/node@22.15.3)(markdown-it-mathjax3@4.3.2)(postcss@8.5.3)(search-insights@2.17.3)(typescript@5.8.3)
       vitepress-plugin-tabs:
         specifier: ^0.7.0
-        version: 0.7.0(vitepress@1.6.3(@algolia/client-search@5.24.0)(@types/node@22.15.3)(postcss@8.5.3)(search-insights@2.17.3)(typescript@5.8.3))(vue@3.5.13(typescript@5.8.3))
+        version: 0.7.0(vitepress@1.6.3(@algolia/client-search@5.24.0)(@types/node@22.15.3)(markdown-it-mathjax3@4.3.2)(postcss@8.5.3)(search-insights@2.17.3)(typescript@5.8.3))(vue@3.5.13(typescript@5.8.3))
       vitepress-sidebar:
         specifier: ^1.31.1
         version: 1.31.1
@@ -1725,6 +1728,10 @@ packages:
   '@vueuse/shared@12.8.2':
     resolution: {integrity: sha512-dznP38YzxZoNloI0qpEfpkms8knDtaoQ6Y/sfS0L7Yki4zh40LFHEhur0odJC6xTHG5dxWVPiUWBXn+wCG2s5w==}
 
+  '@xmldom/xmldom@0.9.8':
+    resolution: {integrity: sha512-p96FSY54r+WJ50FIOsCOjyj/wavs8921hG5+kVMmZgKcvIKxMXHTrjNJvRgWa/zuX3B6t2lijLNFaOyuxUH+2A==}
+    engines: {node: '>=14.6'}
+
   acorn-import-attributes@1.9.5:
     resolution: {integrity: sha512-n02Vykv5uA3eHGM/Z2dQrcD56kL8TyDb2p1+0P83PClMnC/nc+anbQRhIOWnSq4Ke/KvDPrY3C9hDtC/A3eHnQ==}
     peerDependencies:
@@ -1746,6 +1753,10 @@ packages:
   altcha-lib@1.2.0:
     resolution: {integrity: sha512-S5WF8QLNRaM1hvK24XPhOLfu9is2EBCvH7+nv50sM5CaIdUCqQCd0WV/qm/ZZFGTdSoKLuDp+IapZxBLvC+SNg==}
 
+  ansi-colors@4.1.3:
+    resolution: {integrity: sha512-/6w/C21Pm1A7aZitlI5Ni/2J6FFQN8i1Cvz3kHABAAbw93v/NlvKdVOqz7CCWz/3iv/JplRSEEZ83XION15ovw==}
+    engines: {node: '>=6'}
+
   ansi-escapes@4.3.2:
     resolution: {integrity: sha512-gKXj5ALrKWQLsYG9jlTRmR/xKluxHV+Z9QEwNIgCfM1/uwPMCuzVVnh5mwTd+OuBZcwSIMbqssNWRm1lE51QaQ==}
     engines: {node: '>=8'}
@@ -1790,6 +1801,9 @@ packages:
   bn.js@4.12.2:
     resolution: {integrity: sha512-n4DSx829VRTRByMRGdjQ9iqsN0Bh4OolPsFnaZBLcbi8iXcB+kJ9s7EnRt4wILZNV3kPLHkRVfOc/HvhC3ovDw==}
 
+  boolbase@1.0.0:
+    resolution: {integrity: sha512-JZOSA7Mo9sNGB8+UjSgzdLtokWAky1zbztM3WRLCbZ70/3cTANmQmOdR7y2g+J0e2WXywy1yS468tY+IruqEww==}
+
   brace-expansion@1.1.11:
     resolution: {integrity: sha512-iCuPHDFgrHX7H2vEI/5xpz07zSHB00TpugqhmYtVmMO6518mCuRMoOYFldEBl0g187ufozdaHgWKcYFb61qGiA==}
 
@@ -1846,6 +1860,13 @@ packages:
   character-entities-legacy@3.0.0:
     resolution: {integrity: sha512-RpPp0asT/6ufRm//AJVwpViZbGM/MkjQFxJccQRHmISF/22NBtsHqAWmL+/pmkPWoIUJdWyeVleTl1wydHATVQ==}
 
+  cheerio-select@1.6.0:
+    resolution: {integrity: sha512-eq0GdBvxVFbqWgmCm7M3XGs1I8oLy/nExUnh6oLqmBditPO9AqQJrkslDpMun/hZ0yyTs8L0m85OHp4ho6Qm9g==}
+
+  cheerio@1.0.0-rc.10:
+    resolution: {integrity: sha512-g0J0q/O6mW8z5zxQ3A8E8J1hUgp4SMOvEoW/x84OwyHKe/Zccz83PVT4y5Crcr530FV6NgmKI1qvGTKVl9XXVw==}
+    engines: {node: '>= 6'}
+
   cjs-module-lexer@1.4.3:
     resolution: {integrity: sha512-9z8TZaGM1pfswYeXrUpzPrkx8UnWYdhJclsiYMm6x/w5+nN+8Tf/LnAgfLGQCm59qAOxU8WwHEq2vNwF6i4j+Q==}
 
@@ -1892,6 +1913,10 @@ packages:
   comma-separated-tokens@2.0.3:
     resolution: {integrity: sha512-Fu4hJdvzeylCfQPp9SGWidpzrMs7tTrlu6Vb8XGaRGck8QSNZJJp538Wrb60Lax4fPwR64ViY468OIUTbRlGZg==}
 
+  commander@13.1.0:
+    resolution: {integrity: sha512-/rFeCpNJQbhSZjGVwO9RFV3xPqbnERS8MmIQzCtD/zl6gpJuV/bMLuN92oG3F7d8oDEHHRrujSXNUr8fpjntKw==}
+    engines: {node: '>=18'}
+
   commander@2.20.3:
     resolution: {integrity: sha512-GpVkmM8vF2vQUkj2LvZmD35JxeJOLCwJ9cUkugyk2nuhbv3+mJvpLYYt+0+USMxE+oj+ey/lJEnhZw75x/OMcQ==}
 
@@ -1928,6 +1953,13 @@ packages:
     resolution: {integrity: sha512-uV2QOWP2nWzsy2aMp8aRibhi9dlzF5Hgh5SHaB9OiTGEyDTiJJyx0uy51QXdyWbtAHNua4XJzUKca3OzKUd3vA==}
     engines: {node: '>= 8'}
 
+  css-select@4.3.0:
+    resolution: {integrity: sha512-wPpOYtnsVontu2mODhA19JrqWxNsfdatRKd64kmpRbQgh1KtItko5sTnEpPdpSaJszTOhEMlF/RPz28qj4HqhQ==}
+
+  css-what@6.1.0:
+    resolution: {integrity: sha512-HTUrgRJ7r4dsZKU6GjmpfRK1O76h97Z8MfS1G0FozR+oF2kG6Vfe8JE6zwrkbxigziPHinCJ+gCPjA9EaBDtRw==}
+    engines: {node: '>= 6'}
+
   cssfilter@0.0.10:
     resolution: {integrity: sha512-FAaLDaplstoRsDR8XGYH51znUN0UY7nMc6Z9/fvE8EXGwvJE9hu7W2vHwx1+bd6gCYnln9nLbzxFTrcO9YQDZw==}
 
@@ -1969,16 +2001,30 @@ packages:
     resolution: {integrity: sha512-PSy0zQwMg5O+LjT5Mz7vnKC8I7DfWLPF6M7oepqW7WP5mn2CY3hz46xZOa1GJY+KVfyXhdmz6+tdgXwrHlZc5g==}
     engines: {node: ^16.14.0 || >=18.12.0}
 
+  dom-serializer@1.4.1:
+    resolution: {integrity: sha512-VHwB3KfrcOOkelEG2ZOfxqLZdfkil8PtJi4P8N2MMXucZq2yLp75ClViUlOVwyoHEDjYU433Aq+5zWP61+RGag==}
+
   dom-serializer@2.0.0:
     resolution: {integrity: sha512-wIkAryiqt/nV5EQKqQpo3SToSOV9J0DnbJqwK7Wv/Trc92zIAYZ4FlMu+JPFW1DfGFt81ZTCGgDEabffXeLyJg==}
 
   domelementtype@2.3.0:
     resolution: {integrity: sha512-OLETBj6w0OsagBwdXnPdN0cnMfF9opN69co+7ZrbfPGrdpPVNBUj02spi6B1N7wChLQiPn4CSH/zJvXw56gmHw==}
 
+  domhandler@3.3.0:
+    resolution: {integrity: sha512-J1C5rIANUbuYK+FuFL98650rihynUOEzRLxW+90bKZRWB6A1X1Tf82GxR1qAWLyfNPRvjqfip3Q5tdYlmAa9lA==}
+    engines: {node: '>= 4'}
+
+  domhandler@4.3.1:
+    resolution: {integrity: sha512-GrwoxYN+uWlzO8uhUXRl0P+kHE4GtVPfYzVLcUxPL7KNdHKj66vvlhiweIHqYYXWlw+T8iLMp42Lm67ghw4WMQ==}
+    engines: {node: '>= 4'}
+
   domhandler@5.0.3:
     resolution: {integrity: sha512-cgwlv/1iFQiFnU96XXgROh8xTeetsnJiDsTc7TYCLFd9+/WNkIqPTxiM/8pSd8VIrhXGTf1Ny1q1hquVqDJB5w==}
     engines: {node: '>= 4'}
 
+  domutils@2.8.0:
+    resolution: {integrity: sha512-w96Cjofp72M5IIhpjgobBimYEfoPjx1Vx0BSX9P30WBdZW2WIKU0T1Bd0kz2eNZ9ikjKgHbEyKx8BB6H1L3h3A==}
+
   domutils@3.2.2:
     resolution: {integrity: sha512-6kZKyUajlDuqlHKVX1w7gyslj9MPIXzIFiz/rGu35uC1wMi+kMhQwGhl4lt9unC9Vb9INnY9Z3/ZA3+FhASLaw==}
 
@@ -2102,6 +2148,9 @@ packages:
   emoji-regex@9.2.2:
     resolution: {integrity: sha512-L18DaJsXSUk2+42pv8mLs5jJT2hqFkFE4j21wOmgbUqsZ2hL72NsUU785g9RXgo3s0ZNgVl42TiHp3ZtOv/Vyg==}
 
+  entities@2.2.0:
+    resolution: {integrity: sha512-p92if5Nz619I0w+akJrLZH0MX0Pb5DX39XOwQTtXSdQQOaYH03S1uIQp4mhOZtAXrxq4ViO67YTiLBo2638o9A==}
+
   entities@4.5.0:
     resolution: {integrity: sha512-V0hjH4dGPh9Ao5p0MoRY6BVqtwCjhz6vI5LT8AJ55H+4g9/4vbHx1I54fS0XuclLhDHArPQCiMjDxjaL8fPxhw==}
     engines: {node: '>=0.12'}
@@ -2144,10 +2193,18 @@ packages:
     engines: {node: '>=18'}
     hasBin: true
 
+  escape-goat@3.0.0:
+    resolution: {integrity: sha512-w3PwNZJwRxlp47QGzhuEBldEqVHHhh8/tIPcl6ecf2Bou99cdAt0knihBV0Ecc7CGxYduXVBDheH1K2oADRlvw==}
+    engines: {node: '>=10'}
+
   escape-string-regexp@5.0.0:
     resolution: {integrity: sha512-/veY75JbMK4j1yjvuUxuVsiS/hr/4iHs9FTT6cgTexxdE0Ly/glccBAkloH/DofkjRbZU3bnoj38mOmhkZ0lHw==}
     engines: {node: '>=12'}
 
+  esm@3.2.25:
+    resolution: {integrity: sha512-U1suiZ2oDVWv4zPO56S0NcR5QriEahGtdN2OR6FiOG4WJvcjBVFB0qI4+eKoWFH483PKGuLuu6V8Z4T5g63UVA==}
+    engines: {node: '>=6'}
+
   esprima@4.0.1:
     resolution: {integrity: sha512-eGuFFw7Upda+g4p+QHvnW0RyTX/SVeJBDM/gCtMARO0cLuT2HcEKnTPvhjV6aGeqrCB/sbNop0Kszm0jsaWU4A==}
     engines: {node: '>=4'}
@@ -2316,6 +2373,12 @@ packages:
   html-void-elements@3.0.0:
     resolution: {integrity: sha512-bEqo66MRXsUGxWHV5IP0PUiAWwoEjba4VCzg0LjFJBpchPaTfyfCKTG6bc5F8ucKec3q5y6qOdGyYTSBEvhCrg==}
 
+  htmlparser2@5.0.1:
+    resolution: {integrity: sha512-vKZZra6CSe9qsJzh0BjBGXo8dvzNsq/oGvsjfRdOrrryfeD9UOBEEQdeoqCRmKZchF5h2zOBMQ6YuQ0uRUmdbQ==}
+
+  htmlparser2@6.1.0:
+    resolution: {integrity: sha512-gyyPk6rgonLFEDGoeRgQNaEUvdJ4ktTmmUh/h2t7s+M8oPpIPxgNACWa+6ESR57kXstwqPiCut0V8NRpcwgU7A==}
+
   htmlparser2@8.0.2:
     resolution: {integrity: sha512-GYdjWKDkbRLkZ5geuHs5NY1puJ+PXwP7+fHPRz06Eirsb9ugf6d8kkXav6ADhcODhFFPMIXyxkxSuMf3D6NCFA==}
 
@@ -2434,6 +2497,11 @@ packages:
     engines: {node: '>=6'}
     hasBin: true
 
+  juice@8.1.0:
+    resolution: {integrity: sha512-FLzurJrx5Iv1e7CfBSZH68dC04EEvXvvVvPYB7Vx1WAuhCp1ZPIMtqxc+WTWxVkpTIC2Ach/GAv0rQbtGf6YMA==}
+    engines: {node: '>=10.0.0'}
+    hasBin: true
+
   jwa@2.0.0:
     resolution: {integrity: sha512-jrZ2Qx916EA+fq9cEAeCROWPTfCwi1IVHqT2tapuqLEVVDKFDENFw1oL+MwrTvH6msKxsd1YTDVw6uKEcsrLEA==}
 
@@ -2523,6 +2591,9 @@ packages:
     peerDependencies:
       markdown-it: '*'
 
+  markdown-it-mathjax3@4.3.2:
+    resolution: {integrity: sha512-TX3GW5NjmupgFtMJGRauioMbbkGsOXAAt1DZ/rzzYmTHqzkO1rNAdiMD4NiruurToPApn2kYy76x02QN26qr2w==}
+
   markdown-it-toc-done-right@4.2.0:
     resolution: {integrity: sha512-UB/IbzjWazwTlNAX0pvWNlJS8NKsOQ4syrXZQ/C72j+jirrsjVRT627lCaylrKJFBQWfRsPmIVQie8x38DEhAQ==}
 
@@ -2534,16 +2605,25 @@ packages:
     resolution: {integrity: sha512-/IXtbwEk5HTPyEwyKX6hGkYXxM9nbj64B+ilVJnC/R6B0pH5G4V3b0pVbL7DBj4tkhBAppbQUlf6F6Xl9LHu1g==}
     engines: {node: '>= 0.4'}
 
+  mathjax-full@3.2.2:
+    resolution: {integrity: sha512-+LfG9Fik+OuI8SLwsiR02IVdjcnRCy5MufYLi0C3TdMT56L/pjB0alMVGgoWJF8pN9Rc7FESycZB9BMNWIid5w==}
+
   mdast-util-to-hast@13.2.0:
     resolution: {integrity: sha512-QGYKEuUsYT9ykKBCMOEDLsU5JRObWQusAolFMeko/tYPufNkRffBAQjIE+99jbA87xv6FgmjLtwjh9wBWajwAA==}
 
   mdurl@2.0.0:
     resolution: {integrity: sha512-Lf+9+2r+Tdp5wXDXC4PcIBjTDtq4UKjCPMQhKIuzpJNW0b96kVqSwW0bT7FhRSfmAiFYgP+SCRvdrDozfh0U5w==}
 
+  mensch@0.3.4:
+    resolution: {integrity: sha512-IAeFvcOnV9V0Yk+bFhYR07O3yNina9ANIN5MoXBKYJ/RLYPurd2d0yw14MDhpr9/momp0WofT1bPUh3hkzdi/g==}
+
   merge2@1.4.1:
     resolution: {integrity: sha512-8q7VEgMJW4J8tcfVPy8g09NcQwZdbwFEqhe/WZkoIzjn/3TGDwtOCYtXGxA3O8tPzpczCCDgv+P2P5y00ZJOOg==}
     engines: {node: '>= 8'}
 
+  mhchemparser@4.2.1:
+    resolution: {integrity: sha512-kYmyrCirqJf3zZ9t/0wGgRZ4/ZJw//VwaRVGA75C4nhE60vtnIzhl9J9ndkX/h6hxSN7pjg/cE0VxbnNM+bnDQ==}
+
   micromark-util-character@2.1.1:
     resolution: {integrity: sha512-wv8tdUTJ3thSFFFJKtpYKOYiGP2+v96Hvk4Tu8KpCAsTMs6yi+nVmGh1syvSCsaxz45J6Jbw+9DD6g97+NV67Q==}
 
@@ -2571,6 +2651,11 @@ packages:
     resolution: {integrity: sha512-xRc4oEhT6eaBpU1XF7AjpOFD+xQmXNB5OVKwp4tqCuBpHLS/ZbBDrc07mYTDqVMg6PfxUjjNp85O6Cd2Z/5HWA==}
     engines: {node: '>= 0.6'}
 
+  mime@2.6.0:
+    resolution: {integrity: sha512-USPkMeET31rOMiarsBNIHZKLGgvKc/LrjofAnBlOttf5ajRvqiRA8QsenbcooctK6d6Ts6aqZXBA+XbkKthiQg==}
+    engines: {node: '>=4.0.0'}
+    hasBin: true
+
   mimic-function@5.0.1:
     resolution: {integrity: sha512-VP79XUPxV2CigYP3jWwAUFSku2aKqBH7uTAapFWCBqutsbmDo96KY5o8uh6U+/YSIn5OxJnXp73beVkpqMIGhA==}
     engines: {node: '>=18'}
@@ -2605,6 +2690,9 @@ packages:
   mitt@3.0.1:
     resolution: {integrity: sha512-vKivATfr97l2/QBCYAkXYDbrIWPM2IIKEl7YPhjCvKlG3kE2gm+uBo6nEXK3M5/Ffh/FLpKExzOQ3JJoJGFKBw==}
 
+  mj-context-menu@0.6.1:
+    resolution: {integrity: sha512-7NO5s6n10TIV96d4g2uDpG7ZDpIhMh0QNfGdJw/W47JswFcosz457wqz/b5sAKvl12sxINGFCn80NZHKwxQEXA==}
+
   mkdirp@1.0.4:
     resolution: {integrity: sha512-vVqVZQyf3WLx2Shd0qJ9xuvqgAyKPLAiqITEtqW0oIUjzo3PePDd6fW9iFz30ef7Ysp/oiWqbhszeGWW2T6Gzw==}
     engines: {node: '>=10'}
@@ -2643,10 +2731,22 @@ packages:
   node-abort-controller@3.1.1:
     resolution: {integrity: sha512-AGK2yQKIjRuqnc6VkX2Xj5d+QW8xZ87pa1UK6yA6ouUyuxfHuMP6umE5QK7UmTeOAymo+Zx1Fxiuw9rVx8taHQ==}
 
+  node-fetch@2.7.0:
+    resolution: {integrity: sha512-c4FRfUm/dbcWZ7U+1Wq0AwCyFL+3nt2bEw05wfxSz+DWpWsitgmSgYmy2dQdWyKC1694ELPqMs/YzUSNozLt8A==}
+    engines: {node: 4.x || >=6.0.0}
+    peerDependencies:
+      encoding: ^0.1.0
+    peerDependenciesMeta:
+      encoding:
+        optional: true
+
   node-gyp-build-optional-packages@5.2.2:
     resolution: {integrity: sha512-s+w+rBWnpTMwSFbaE0UXsRlg7hU4FjekKU4eyAih5T8nJuNZT1nNsskXpxmeqSK9UzkBl6UgRlnKc8hz8IEqOw==}
     hasBin: true
 
+  nth-check@2.1.1:
+    resolution: {integrity: sha512-lqjrjmaOoAnWfMmBPL+XNnynZh2+swxiX3WUE0s4yEHI6m+AwrK2UZOimIRl3X/4QctVqS8AiZjFqyOGrMXb/w==}
+
   oauth4webapi@3.5.0:
     resolution: {integrity: sha512-DF3mLWNuxPkxJkHmWxbSFz4aE5CjWOsm465VBfBdWzmzX4Mg3vF8icxK+iKqfdWrIumBJ2TaoNQWx+SQc2bsPQ==}
 
@@ -2679,6 +2779,12 @@ packages:
     resolution: {integrity: sha512-ayCKvm/phCGxOkYRSCM82iDwct8/EonSEgCSxWxD7ve6jHggsFl4fZVQBPRNgQoKiuV/odhFrGzQXZwbifC8Rg==}
     engines: {node: '>=8'}
 
+  parse5-htmlparser2-tree-adapter@6.0.1:
+    resolution: {integrity: sha512-qPuWvbLgvDGilKc5BoicRovlT4MtYT6JfJyBOMDsKoiT+GiuP5qyrPCnR9HcPECIJJmZh5jRndyNThnhhb/vlA==}
+
+  parse5@6.0.1:
+    resolution: {integrity: sha512-Ofn/CTFzRGTTxwpNEs9PP93gXShHcTq255nzRYSKe8AkVpZY7e1fpmTfOyoIvjP5HG7Z2ZM7VS9PPhQGW2pOpw==}
+
   parseley@0.12.1:
     resolution: {integrity: sha512-e6qHKe3a9HWr0oMRVDTRhKce+bRO8VGQR3NyVwcjwrbhMmFCX9KszEV35+rn4AdilFAq9VPxP/Fe1wC9Qjd2lw==}
 
@@ -2896,6 +3002,9 @@ packages:
   simple-swizzle@0.2.2:
     resolution: {integrity: sha512-JA//kQgZtbuY83m+xT+tXJkmJncGMTFT+C+g2h2R9uxkYIrE2yy9sgmcLhCnw57/WSD+Eh3J97FPEDFnbXnDUg==}
 
+  slick@1.12.2:
+    resolution: {integrity: sha512-4qdtOGcBjral6YIBCWJ0ljFSKNLz9KkhbWtuGvUyRowl1kxfuE1x/Z/aJcaiilpb3do9bl5K7/1h9XC5wWpY/A==}
+
   sonic-channel@1.3.1:
     resolution: {integrity: sha512-+K4IZVFE7Tf2DB4EFZ23xo7a/+gJaiOHhFzXVZpzkX6Rs/rvf4YbSxnEGdYw8mrTcjtpG+jLVQEhP8sNTtN5VA==}
     engines: {node: '>= 6.0.0'}
@@ -2918,6 +3027,10 @@ packages:
     resolution: {integrity: sha512-1POYv7uv2gXoyGFpBCmpDVSNV74IfsWlDW216UPjbWufNf+bSU6GdbDsxdcxtfwb4xlI3yxzOTKClUosxARYrQ==}
     engines: {node: '>=0.10.0'}
 
+  speech-rule-engine@4.1.2:
+    resolution: {integrity: sha512-S6ji+flMEga+1QU79NDbwZ8Ivf0S/MpupQQiIC0rTpU/ZTKgcajijJJb1OcByBQDjrXCN1/DJtGz4ZJeBMPGJw==}
+    hasBin: true
+
   sprintf-js@1.0.3:
     resolution: {integrity: sha512-D9cPgkvLlV3t3IzL0D0YLvGA9Ahk4PcvVwUbN0dSGr1aP0Nrt4AEnTUbuGvquEC0mA64Gqt1fzirlRs5ibXx8g==}
 
@@ -2989,6 +3102,9 @@ packages:
     resolution: {integrity: sha512-65P7iz6X5yEr1cwcgvQxbbIw7Uk3gOy5dIdtZ4rDveLqhrdJP+Li/Hx6tyK0NEb+2GCyneCMJiGqrADCSNk8sQ==}
     engines: {node: '>=8.0'}
 
+  tr46@0.0.3:
+    resolution: {integrity: sha512-N3WMsuqV66lT30CrXNbEjx4GEwlow3v6rr4mCcv6prnfwhS01rkgyFdjPNBYd9br7LpXV1+Emh01fHnq2Gdgrw==}
+
   trim-lines@3.0.1:
     resolution: {integrity: sha512-kRj8B+YHZCc9kQYdWfJB2/oUl9rA99qbowYYBtr4ui4mZyAQ2JpvVBd/6U2YloATfqBhBTSMhTpgBHtU0Mf3Rg==}
 
@@ -3060,6 +3176,10 @@ packages:
     resolution: {integrity: sha512-b+1eJOlsR9K8HJpow9Ok3fiWOWSIcIzXodvv0rQjVoOVNpWMpxf1wZNpt4y9h10odCNrqnYp1OBzRktckBe3sA==}
     hasBin: true
 
+  valid-data-url@3.0.1:
+    resolution: {integrity: sha512-jOWVmzVceKlVVdwjNSenT4PbGghU0SBIizAev8ofZVgivk/TVHXSbNL8LP6M3spZvkR9/QolkyJavGSX5Cs0UA==}
+    engines: {node: '>=10'}
+
   vfile-message@4.0.2:
     resolution: {integrity: sha512-jRDZ1IMLttGj41KcZvlrYAaI3CfqpLpfpf+Mfig13viT6NKvRzWZ+lXz0Y5D60w6uJIBAOGq9mSHf0gktF0duw==}
 
@@ -3132,14 +3252,27 @@ packages:
     engines: {node: '>= 16'}
     hasBin: true
 
+  web-resource-inliner@6.0.1:
+    resolution: {integrity: sha512-kfqDxt5dTB1JhqsCUQVFDj0rmY+4HLwGQIsLPbyrsN9y9WV/1oFDSx3BQ4GfCv9X+jVeQ7rouTqwK53rA/7t8A==}
+    engines: {node: '>=10.0.0'}
+
+  webidl-conversions@3.0.1:
+    resolution: {integrity: sha512-2JAn3z8AR6rjK8Sm8orRC0h/bcl/DqL7tRPdGZ4I1CjdF+EaMLmYxBHyXuKL849eucPFhvBoxMsflfOb8kxaeQ==}
+
   webpack-virtual-modules@0.6.2:
     resolution: {integrity: sha512-66/V2i5hQanC51vBQKPH4aI8NMAcBW59FVBs+rC7eGHupMyfn34q7rZIE+ETlJ+XTevqfUhVVBgSUNSW2flEUQ==}
 
+  whatwg-url@5.0.0:
+    resolution: {integrity: sha512-saE57nupxk6v3HY35+jzBwYa0rKSy0XR8JSxZPwgLr7ys0IBzhGviA1/TUGJLmSVqs8pb9AnvICXEuOHLprYTw==}
+
   which@2.0.2:
     resolution: {integrity: sha512-BLI3Tl1TW3Pvl70l3yq3Y64i+awpwXqsGBYWkkqMtnbXgrMD+yj7rhW0kuEDxzJaYXGjEW5ogapKNMEKNMjibA==}
     engines: {node: '>= 8'}
     hasBin: true
 
+  wicked-good-xpath@1.3.0:
+    resolution: {integrity: sha512-Gd9+TUn5nXdwj/hFsPVx5cuHHiF5Bwuc30jZ4+ronF1qHK5O7HD0sgmXWSEgwKquT3ClLoKPVbO6qGwVwLzvAw==}
+
   wrap-ansi@6.2.0:
     resolution: {integrity: sha512-r6lPcBGxZXlIcymEu7InxDMhdW0KDxpLgoFLcguasxCaJ/SOIZwINatK9KY/tf+ZrlywOKU0UDj3ATXUBfxJXA==}
     engines: {node: '>=8'}
@@ -4525,6 +4658,8 @@ snapshots:
     transitivePeerDependencies:
       - typescript
 
+  '@xmldom/xmldom@0.9.8': {}
+
   acorn-import-attributes@1.9.5(acorn@8.14.1):
     dependencies:
       acorn: 8.14.1
@@ -4551,6 +4686,8 @@ snapshots:
 
   altcha-lib@1.2.0: {}
 
+  ansi-colors@4.1.3: {}
+
   ansi-escapes@4.3.2:
     dependencies:
       type-fest: 0.21.3
@@ -4588,6 +4725,8 @@ snapshots:
 
   bn.js@4.12.2: {}
 
+  boolbase@1.0.0: {}
+
   brace-expansion@1.1.11:
     dependencies:
       balanced-match: 1.0.2
@@ -4650,6 +4789,24 @@ snapshots:
 
   character-entities-legacy@3.0.0: {}
 
+  cheerio-select@1.6.0:
+    dependencies:
+      css-select: 4.3.0
+      css-what: 6.1.0
+      domelementtype: 2.3.0
+      domhandler: 4.3.1
+      domutils: 2.8.0
+
+  cheerio@1.0.0-rc.10:
+    dependencies:
+      cheerio-select: 1.6.0
+      dom-serializer: 1.4.1
+      domhandler: 4.3.1
+      htmlparser2: 6.1.0
+      parse5: 6.0.1
+      parse5-htmlparser2-tree-adapter: 6.0.1
+      tslib: 2.8.1
+
   cjs-module-lexer@1.4.3: {}
 
   clerc@0.44.0:
@@ -4694,6 +4851,8 @@ snapshots:
 
   comma-separated-tokens@2.0.3: {}
 
+  commander@13.1.0: {}
+
   commander@2.20.3: {}
 
   commander@6.2.1: {}
@@ -4728,6 +4887,16 @@ snapshots:
       shebang-command: 2.0.0
       which: 2.0.2
 
+  css-select@4.3.0:
+    dependencies:
+      boolbase: 1.0.0
+      css-what: 6.1.0
+      domhandler: 4.3.1
+      domutils: 2.8.0
+      nth-check: 2.1.1
+
+  css-what@6.1.0: {}
+
   cssfilter@0.0.10: {}
 
   csstype@3.1.3: {}
@@ -4756,6 +4925,12 @@ snapshots:
       fastest-levenshtein: 1.0.16
       lodash.deburr: 4.1.0
 
+  dom-serializer@1.4.1:
+    dependencies:
+      domelementtype: 2.3.0
+      domhandler: 4.3.1
+      entities: 2.2.0
+
   dom-serializer@2.0.0:
     dependencies:
       domelementtype: 2.3.0
@@ -4764,10 +4939,24 @@ snapshots:
 
   domelementtype@2.3.0: {}
 
+  domhandler@3.3.0:
+    dependencies:
+      domelementtype: 2.3.0
+
+  domhandler@4.3.1:
+    dependencies:
+      domelementtype: 2.3.0
+
   domhandler@5.0.3:
     dependencies:
       domelementtype: 2.3.0
 
+  domutils@2.8.0:
+    dependencies:
+      dom-serializer: 1.4.1
+      domelementtype: 2.3.0
+      domhandler: 4.3.1
+
   domutils@3.2.2:
     dependencies:
       dom-serializer: 2.0.0
@@ -4813,6 +5002,8 @@ snapshots:
 
   emoji-regex@9.2.2: {}
 
+  entities@2.2.0: {}
+
   entities@4.5.0: {}
 
   error-ex@1.3.2:
@@ -4915,8 +5106,12 @@ snapshots:
       '@esbuild/win32-ia32': 0.25.3
       '@esbuild/win32-x64': 0.25.3
 
+  escape-goat@3.0.0: {}
+
   escape-string-regexp@5.0.0: {}
 
+  esm@3.2.25: {}
+
   esprima@4.0.1: {}
 
   estree-walker@2.0.2: {}
@@ -5072,6 +5267,20 @@ snapshots:
 
   html-void-elements@3.0.0: {}
 
+  htmlparser2@5.0.1:
+    dependencies:
+      domelementtype: 2.3.0
+      domhandler: 3.3.0
+      domutils: 2.8.0
+      entities: 2.2.0
+
+  htmlparser2@6.1.0:
+    dependencies:
+      domelementtype: 2.3.0
+      domhandler: 4.3.1
+      domutils: 2.8.0
+      entities: 2.2.0
+
   htmlparser2@8.0.2:
     dependencies:
       domelementtype: 2.3.0
@@ -5187,6 +5396,16 @@ snapshots:
 
   json5@2.2.3: {}
 
+  juice@8.1.0:
+    dependencies:
+      cheerio: 1.0.0-rc.10
+      commander: 6.2.1
+      mensch: 0.3.4
+      slick: 1.12.2
+      web-resource-inliner: 6.0.1
+    transitivePeerDependencies:
+      - encoding
+
   jwa@2.0.0:
     dependencies:
       buffer-equal-constant-time: 1.0.1
@@ -5271,6 +5490,13 @@ snapshots:
     dependencies:
       markdown-it: 14.1.0
 
+  markdown-it-mathjax3@4.3.2:
+    dependencies:
+      juice: 8.1.0
+      mathjax-full: 3.2.2
+    transitivePeerDependencies:
+      - encoding
+
   markdown-it-toc-done-right@4.2.0: {}
 
   markdown-it@14.1.0:
@@ -5284,6 +5510,13 @@ snapshots:
 
   math-intrinsics@1.1.0: {}
 
+  mathjax-full@3.2.2:
+    dependencies:
+      esm: 3.2.25
+      mhchemparser: 4.2.1
+      mj-context-menu: 0.6.1
+      speech-rule-engine: 4.1.2
+
   mdast-util-to-hast@13.2.0:
     dependencies:
       '@types/hast': 3.0.4
@@ -5298,8 +5531,12 @@ snapshots:
 
   mdurl@2.0.0: {}
 
+  mensch@0.3.4: {}
+
   merge2@1.4.1: {}
 
+  mhchemparser@4.2.1: {}
+
   micromark-util-character@2.1.1:
     dependencies:
       micromark-util-symbol: 2.0.1
@@ -5328,6 +5565,8 @@ snapshots:
     dependencies:
       mime-db: 1.54.0
 
+  mime@2.6.0: {}
+
   mimic-function@5.0.1: {}
 
   minimalistic-assert@1.0.1: {}
@@ -5354,6 +5593,8 @@ snapshots:
 
   mitt@3.0.1: {}
 
+  mj-context-menu@0.6.1: {}
+
   mkdirp@1.0.4: {}
 
   mlly@1.7.4:
@@ -5391,11 +5632,19 @@ snapshots:
 
   node-abort-controller@3.1.1: {}
 
+  node-fetch@2.7.0:
+    dependencies:
+      whatwg-url: 5.0.0
+
   node-gyp-build-optional-packages@5.2.2:
     dependencies:
       detect-libc: 2.0.4
     optional: true
 
+  nth-check@2.1.1:
+    dependencies:
+      boolbase: 1.0.0
+
   oauth4webapi@3.5.0: {}
 
   object-inspect@1.13.4: {}
@@ -5437,6 +5686,12 @@ snapshots:
       json-parse-even-better-errors: 2.3.1
       lines-and-columns: 1.2.4
 
+  parse5-htmlparser2-tree-adapter@6.0.1:
+    dependencies:
+      parse5: 6.0.1
+
+  parse5@6.0.1: {}
+
   parseley@0.12.1:
     dependencies:
       leac: 0.6.0
@@ -5691,6 +5946,8 @@ snapshots:
     dependencies:
       is-arrayish: 0.3.2
 
+  slick@1.12.2: {}
+
   sonic-channel@1.3.1: {}
 
   source-map-js@1.2.1: {}
@@ -5706,6 +5963,12 @@ snapshots:
 
   speakingurl@14.0.1: {}
 
+  speech-rule-engine@4.1.2:
+    dependencies:
+      '@xmldom/xmldom': 0.9.8
+      commander: 13.1.0
+      wicked-good-xpath: 1.3.0
+
   sprintf-js@1.0.3: {}
 
   standard-as-callback@2.1.0: {}
@@ -5773,6 +6036,8 @@ snapshots:
     dependencies:
       is-number: 7.0.0
 
+  tr46@0.0.3: {}
+
   trim-lines@3.0.1: {}
 
   true-myth@4.1.1: {}
@@ -5842,6 +6107,8 @@ snapshots:
 
   uuid@9.0.1: {}
 
+  valid-data-url@3.0.1: {}
+
   vfile-message@4.0.2:
     dependencies:
       '@types/unist': 3.0.3
@@ -5861,9 +6128,9 @@ snapshots:
       '@types/node': 22.15.3
       fsevents: 2.3.3
 
-  vitepress-plugin-tabs@0.7.0(vitepress@1.6.3(@algolia/client-search@5.24.0)(@types/node@22.15.3)(postcss@8.5.3)(search-insights@2.17.3)(typescript@5.8.3))(vue@3.5.13(typescript@5.8.3)):
+  vitepress-plugin-tabs@0.7.0(vitepress@1.6.3(@algolia/client-search@5.24.0)(@types/node@22.15.3)(markdown-it-mathjax3@4.3.2)(postcss@8.5.3)(search-insights@2.17.3)(typescript@5.8.3))(vue@3.5.13(typescript@5.8.3)):
     dependencies:
-      vitepress: 1.6.3(@algolia/client-search@5.24.0)(@types/node@22.15.3)(postcss@8.5.3)(search-insights@2.17.3)(typescript@5.8.3)
+      vitepress: 1.6.3(@algolia/client-search@5.24.0)(@types/node@22.15.3)(markdown-it-mathjax3@4.3.2)(postcss@8.5.3)(search-insights@2.17.3)(typescript@5.8.3)
       vue: 3.5.13(typescript@5.8.3)
 
   vitepress-sidebar@1.31.1:
@@ -5872,7 +6139,7 @@ snapshots:
       gray-matter: 4.0.3
       qsu: 1.10.0
 
-  vitepress@1.6.3(@algolia/client-search@5.24.0)(@types/node@22.15.3)(postcss@8.5.3)(search-insights@2.17.3)(typescript@5.8.3):
+  vitepress@1.6.3(@algolia/client-search@5.24.0)(@types/node@22.15.3)(markdown-it-mathjax3@4.3.2)(postcss@8.5.3)(search-insights@2.17.3)(typescript@5.8.3):
     dependencies:
       '@docsearch/css': 3.8.2
       '@docsearch/js': 3.8.2(@algolia/client-search@5.24.0)(search-insights@2.17.3)
@@ -5893,6 +6160,7 @@ snapshots:
       vite: 5.4.19(@types/node@22.15.3)
       vue: 3.5.13(typescript@5.8.3)
     optionalDependencies:
+      markdown-it-mathjax3: 4.3.2
       postcss: 8.5.3
     transitivePeerDependencies:
       - '@algolia/client-search'
@@ -5941,12 +6209,32 @@ snapshots:
     transitivePeerDependencies:
       - supports-color
 
+  web-resource-inliner@6.0.1:
+    dependencies:
+      ansi-colors: 4.1.3
+      escape-goat: 3.0.0
+      htmlparser2: 5.0.1
+      mime: 2.6.0
+      node-fetch: 2.7.0
+      valid-data-url: 3.0.1
+    transitivePeerDependencies:
+      - encoding
+
+  webidl-conversions@3.0.1: {}
+
   webpack-virtual-modules@0.6.2: {}
 
+  whatwg-url@5.0.0:
+    dependencies:
+      tr46: 0.0.3
+      webidl-conversions: 3.0.1
+
   which@2.0.2:
     dependencies:
       isexe: 2.0.0
 
+  wicked-good-xpath@1.3.0: {}
+
   wrap-ansi@6.2.0:
     dependencies:
       ansi-styles: 4.3.0