From 8fa86ba6c13335eed38e4dc65731bece92ce2f74 Mon Sep 17 00:00:00 2001 From: Jieiku Date: Fri, 10 Jun 2022 10:41:18 -0700 Subject: Update Readme, Add katex_bundle --- README.md | 53 ++++++++++++++++++++++++++++----------------- config.toml | 14 +++++++----- screenshot.png | Bin 118719 -> 118129 bytes static/katexbundle.min.js | 1 + templates/macros/head.html | 11 +++++++--- 5 files changed, 51 insertions(+), 28 deletions(-) create mode 100644 static/katexbundle.min.js diff --git a/README.md b/README.md index f062d21..e94e835 100644 --- a/README.md +++ b/README.md @@ -1,5 +1,5 @@
- + # Abridge Zola Theme @@ -118,8 +118,6 @@ You can customize your configurations, templates and content for yourself. Look at the `config.toml`, `content` files, and templates files in this repo for an idea. -Abridge does support a theme switcher for dark/light mode, but it is disabled by default because it reuires additional javascript. - ### Number of Items per page for pagination To change the number of items per page edit: `abridge/content/_index.md` and change the value for `paginate_by` @@ -141,10 +139,10 @@ Abridge comes with "Skins" each with their own auto, dark, light and switcher mo Auto mode automatically displays a dark or light version depending on browser/OS settings. Switcher mode automatically displays a dark or light version depending on browser/OS settings, and has a user clickable theme switcher, but it requires additional javascript. -The skin used on [the Demo](https://abridge.netlify.app/) uses primarily orange colors, it the auto without the switcher. -It is defined here: `/themes/abridge/sass/abridge.scss` +The skin used on [the Demo](https://abridge.netlify.app/) uses primarily orange colors. +It is defined here: `/themes/abridge/sass/abridge-switcher.scss` -There is also other variations, that you will see defined in this same directory. +There is also other variations, that you will see defined in this same directory, they are also all defined in config.toml To change colors or fonts all you need to do is edit these files or duplicate them and create your own skin. Then in the root of your site type `zola build` which will regenerate your site, this is similar to what zola serve does, except it does not facilitate serving the site. @@ -189,7 +187,7 @@ Use search function for the content. build_search_index = true ``` -​The search is the only thing that requires javascript in this this theme. +​The search is the only essential thing that requires javascript in this this theme. If you set `build_search_index` to false then the javascript file will no longer be loaded. @@ -201,6 +199,7 @@ Most Options in the config.toml are self documenting, meaning between the name o The following options should be under the `[extra]` in `config.toml` +- `uglyurls` - Set to true, as well as set a file path for base_url to support a local offline mode of your site, you can then browse your site directly from disk. - `language_code` - Set the site language_code. - `title_separator` - Separator between title and title_addition, eg "|": "Abridge | Fast & Lightweight Zola Theme" - `title_addition` - a default value for title addition, used at the index. @@ -216,7 +215,7 @@ The following options should be under the `[extra]` in `config.toml` - `logo = { file="logo.svg", width="42", height="42", alt="Abridge", text="bridge" }` - Defines the graphical logo with optional text to follow the logo. - `textlogo` - A purely Text based logo, this will be used if logo is commented out, if both are commented out then config.title is used. -- `sitedesc` - This add the site description just below the text based logo. +- `sitedesc` - This adds the site description just below the text based logo. - `copyright_start_year` - Optionally define a start year for the copyright, otherwise the current year is used. - `copyright_end_year` - Optionally set the copyright end year, recommend leaving unset, zola build will set this to current year by default - `headhr` - Display a horizontal rule below header @@ -225,17 +224,26 @@ The following options should be under the `[extra]` in `config.toml` - `menu_footer` - This is an array of links to display in the footer of the page - `security_header_referrer` - This is mostly used for tracking, the default is set to "strict-origin-when-cross-origin" [info](https://developer.mozilla.org/en-US/docs/Web/HTTP/Headers/Referrer-Policy) -- `security_header_csp` - Content Security policy, to enfore security rules: [observatory](https://observatory.mozilla.org) [csp-google](https://csp-evaluator.withgoogle.com/) +- `security_header_csp` - Content Security policy, to enfore security rules: [observatory](https://observatory.mozilla.org), [csp-google](https://csp-evaluator.withgoogle.com/) + +- `js_search_index` - The search index file to include in the header, comment out to disable. +- `prestyle` - The script file used to preload: FontAwesome, Katex, external Google Fonts. +- `js_search` - The search script file to include in the header, comment out to disable. -- `banner` - Image to use in seo related cards, this will be the fallback image if the individual articles does not provide one, still a work in progress. -- `js_search_index = "search_index.en.js"` - The search index file to include in the header, comment out to disable. -- `js_search = "search.min.js"` - The search script file to include in the header, comment out to disable. -- `rss_atom_feed = "atom.xml"` - The atom.xml rss file to include in the header. +- `js_theme` - Used for the Theme Switcher, to facilitate localstorage. +- `js_themeButton` - Used for the Theme Switcher. +- `js_bundle` - Used to define a javascript bundle, [more information](https://github.com/Jieiku/abridge#javascript-files-js_bundle-and-options). - `stylesheets = [ "abridge.css" ]` - The stylesheet file(s) to include in the header. + +- `banner` - Image to use in seo related cards, this will be the fallback image if the individual articles does not provide one. +- `favicon_..` - Used to set the various favicons (displayed in bookmarks and active browser tab) - `fontawesome =` - Uncomment to enable fontawesome library, this will include the file in the header. - `fonts =` - Uncomment to load external fonts, they will be loaded in the header. -- `math` - Set to true to load the Katex library, enabling the use of the [katex shortcode](https://abridge.netlify.app/overview-math/) -- `math_auto_render` - This allows you to define a section of math notation using only $$ $$ symbols instead of using the katex shortcode directly. +- `math` - Set to true to load the Katex library, enabling the use of the [katex shortcode](https://abridge.netlify.app/overview-math/) (recommend setting on a per page basis instead.) +- `math_auto_render` - This allows you to define a section of math notation using only $$ $$ symbols instead of using the katex shortcode directly. (recommend setting on a per page basis instead.) + +- `katex_css`, `katex_js`, `mathtex_js`, `katex_autorender_js`, `katex_options` - Used for Math Notation. +- `katex_bundle` - Used to bundle all of the math related js. - `keywords =` - This is used for SEO. - `seo =` - This is used for SEO, for the social media related tags, eg: opengraph, facebook, twitter if set to false it disables them all. @@ -319,7 +327,7 @@ There are tools you can use to test your page SEO metadata, such as: [smallseoto KaTeX can be used to display complex mathematics, it is a "Fast math typesetting for the web." -You can see a demo of this here [this page](https://abridge.netlify.app/overview-math/). +You can see a demo on [this page](https://abridge.netlify.app/overview-math/). I recommend only enabling math on a per page bases in your post.md files, instead of in your main config.toml file. @@ -331,7 +339,7 @@ All pages extend to `base.html`, and you can customize them as need. ### Theme-Switcher -The theme switcher relies on javascript to work, it applies the .light class to the root documentElement. The file that handles this (theme.js) is tiny and optimized and it is the first file loaded in the head, so the performance hit is minimal, but it does still exist. Without the Theme switcher you can still use The automatic Theme, it works by using Browser/OS preference and works well enough for me, you can even install a [Firefox plugin](https://addons.mozilla.org/en-US/firefox/addon/theme-switcher-for-firefox/) to quickly switch between the two. By default the demo has the theme switcher enabled so that it can be evaluated. +The theme switcher relies on javascript to work, it applies the .light class to the root documentElement. The file that handles this (theme.js) is tiny and optimized and it is the first file loaded in the head, so the performance hit is minimal, but it does still exist. Without the Theme switcher you can still use The automatic Theme, it works by using Browser/OS preference, you can even install a [Firefox plugin](https://addons.mozilla.org/en-US/firefox/addon/theme-switcher-for-firefox/) to quickly switch between the two. By default the demo has the theme switcher enabled so that it can be evaluated. With the growing number of options and configuration it can get confusing. To disable the Theme Switcher, you would comment out the Switcher section and enable your choice in the No switcher section, for example: @@ -361,15 +369,19 @@ oxipng -o max --strip all -a -Z *.png You can go even farther if you use leanify: +```bash git clone https://github.com/JayXon/Leanify cd Leanify make sudo cp leanify /usr/local/bin/leanify exit #launch new terminal -leanify -i 7777 *.{png,ico} +leanify -i 7777 *.png +leanify -i 7777 *.ico +``` -Here is the results of using leanify on files previously processed with oxipng: +Results of using leanify on files previously processed with oxipng (smaller favicons compressed a lot more): +```bash Processing: android-chrome-192x192m.png 2.23 KB -> 2.22 KB Leanified: 11 B (0.48%) Processing: android-chrome-192x192.png @@ -388,11 +400,12 @@ Processing: favicon-32x32.png 969 B -> 663 B Leanified: 306 B **(31.58%)** Processing: favicon.ico 2.59 KB -> 1.90 KB Leanified: 703 B **(26.53%)** +``` Google lighthouse will often notice when your pictures could be more compressed, this may even help SEO. -### Pre gzip content to serve with nginx: +### Pre gzip/brotli content to serve with nginx: If you are serving your site with nginx, you can pre gzip your content. diff --git a/config.toml b/config.toml index e9c67dc..7f4c600 100644 --- a/config.toml +++ b/config.toml @@ -119,11 +119,12 @@ stylesheets = [ "abridge-switcher.css" ] # Orange Automatic Dark/Light Theme bas # If you have js_bundle set, then Bundleable js files are ignored (it's assumed you bundled them). # You can include whatever js you want in your bundle. just generate your file like below and place in your sites root static directory: -# cd mysite/themes/abridge/static -# search: uglifyjs elasticlunr.min.js search.js -o search.min.js -c -m -# noswitcher: uglifyjs prestyle.js elasticlunr.min.js search.js -o abridge.min.js -c -m -# ALL: uglifyjs prestyle.js theme_button.js elasticlunr.min.js search.js -o abridge-switcher.min.js -c -m -# theme: uglifyjs theme.js -o theme.min.js -c -m +# cd mysite/themes/abridge/static +# search: uglifyjs elasticlunr.min.js search.js -o search.min.js -c -m +# noswitcher: uglifyjs prestyle.js elasticlunr.min.js search.js -o abridge.min.js -c -m +# ALL: uglifyjs prestyle.js theme_button.js elasticlunr.min.js search.js -o abridge-switcher.min.js -c -m +# theme: uglifyjs theme.js -o theme.min.js -c -m +# katex_bundle: uglifyjs katex.min.js mathtex-script-type.min.js auto-render.min.js katexoptions.js -o katexbundle.min.js -c -m banner = "banner.png" # Used as default image for OpenGraph/Twitter if page specific image is undefined. # favicons, comment out a line to disable loading some or all of these. @@ -164,6 +165,9 @@ katex_js = "katex.min.js" # use local js, so that we dont have to whitelist cdn. mathtex_js = "mathtex-script-type.min.js" # use local js, so that we dont have to whitelist cdn.jsdelivr.net for script src in CSP katex_autorender_js = "auto-render.min.js" katex_options = "katexoptions.js" +katex_bundle = "katexbundle.min.js" + + ########################## # meta/seo/analytic tags diff --git a/screenshot.png b/screenshot.png index 78ed1c0..16dea95 100644 Binary files a/screenshot.png and b/screenshot.png differ diff --git a/static/katexbundle.min.js b/static/katexbundle.min.js new file mode 100644 index 0000000..78c0d11 --- /dev/null +++ b/static/katexbundle.min.js @@ -0,0 +1 @@ +!function(e,t){"object"==typeof exports&&"object"==typeof module?module.exports=t():"function"==typeof define&&define.amd?define([],t):"object"==typeof exports?exports.katex=t():e.katex=t()}("undefined"!=typeof self?self:this,function(){"use strict";function B(e,t){this.position=void 0;var r,n,e="KaTeX parse error: "+e,i=((t=t&&t.loc)&&t.start<=t.end&&(r=t.lexer.input,n=t.start,t=t.end,n===r.length?e+=" at end of input: ":e+=" at position "+(n+1)+": ",i=r.slice(n,t).replace(/[^]/g,"$&̲"),e+=(15":">","<":"<",'"':""","'":"'"},R=/[&><"']/g,Z={contains:function(e,t){return-1!==e.indexOf(t)},deflt:function(e,t){return void 0===e?t:e},escape:function(e){return String(e).replace(R,function(e){return O[e]})},hyphenate:function(e){return e.replace(I,"-$1").toLowerCase()},getBaseElem:C,isCharacterBox:function(e){e=C(e);return"mathord"===e.type||"textord"===e.type||"atom"===e.type},protocolFromUrl:function(e){e=/^\s*([^\\/#]*?)(?::|�*58|�*3a)/i.exec(e);return null!=e?e[1]:"_relative"}},E={displayMode:{type:"boolean",description:"Render math in display mode, which puts the math in display style (so \\int and \\sum are large, for example), and centers the math on the page on its own line.",cli:"-d, --display-mode"},output:{type:{enum:["htmlAndMathml","html","mathml"]},description:"Determines the markup language of the output.",cli:"-F, --format "},leqno:{type:"boolean",description:"Render display math in leqno style (left-justified tags)."},fleqn:{type:"boolean",description:"Render display math flush left."},throwOnError:{type:"boolean",default:!0,cli:"-t, --no-throw-on-error",cliDescription:"Render errors (in the color given by --error-color) instead of throwing a ParseError exception when encountering an error."},errorColor:{type:"string",default:"#cc0000",cli:"-c, --error-color ",cliDescription:"A color string given in the format 'rgb' or 'rrggbb' (no #). This option determines the color of errors rendered by the -t option.",cliProcessor:function(e){return"#"+e}},macros:{type:"object",cli:"-m, --macro ",cliDescription:"Define custom macro of the form '\\foo:expansion' (use multiple -m arguments for multiple macros).",cliDefault:[],cliProcessor:function(e,t){return t.push(e),t}},minRuleThickness:{type:"number",description:"Specifies a minimum thickness, in ems, for fraction lines, `\\sqrt` top lines, `{array}` vertical lines, `\\hline`, `\\hdashline`, `\\underline`, `\\overline`, and the borders of `\\fbox`, `\\boxed`, and `\\fcolorbox`.",processor:function(e){return Math.max(0,e)},cli:"--min-rule-thickness ",cliProcessor:parseFloat},colorIsTextColor:{type:"boolean",description:"Makes \\color behave like LaTeX's 2-argument \\textcolor, instead of LaTeX's one-argument \\color mode change.",cli:"-b, --color-is-text-color"},strict:{type:[{enum:["warn","ignore","error"]},"boolean","function"],description:"Turn on strict / LaTeX faithfulness mode, which throws an error if the input uses features that are not supported by LaTeX.",cli:"-S, --strict",cliDefault:!1},trust:{type:["boolean","function"],description:"Trust the input, enabling all HTML features such as \\url.",cli:"-T, --trust"},maxSize:{type:"number",default:1/0,description:"If non-zero, all user-specified sizes, e.g. in \\rule{500em}{500em}, will be capped to maxSize ems. Otherwise, elements and spaces can be arbitrarily large",processor:function(e){return Math.max(0,e)},cli:"-s, --max-size ",cliProcessor:parseInt},maxExpand:{type:"number",default:1e3,description:"Limit the number of macro expansions to the specified number, to prevent e.g. infinite macro loops. If set to Infinity, the macro expander will try to fully expand as in LaTeX.",processor:function(e){return Math.max(0,e)},cli:"-e, --max-expand ",cliProcessor:function(e){return"Infinity"===e?1/0:parseInt(e)}},globalGroup:{type:"boolean",cli:!1}};(t=W.prototype).reportNonstrict=function(e,t,r){var n=this.strict;if((n="function"==typeof n?n(e,t,r):n)&&"ignore"!==n){if(!0===n||"error"===n)throw new $("LaTeX-incompatible input and strict mode is set to 'error': "+t+" ["+e+"]",r);"warn"===n?"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to 'warn': "+t+" ["+e+"]"):"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to unrecognized '"+n+"': "+t+" ["+e+"]")}},t.useStrictBehavior=function(e,t,r){var n=this.strict;if("function"==typeof n)try{n=n(e,t,r)}catch(e){n="error"}return!(!n||"ignore"===n||!0!==n&&"error"!==n&&("warn"===n?"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to 'warn': "+t+" ["+e+"]"):"undefined"!=typeof console&&console.warn("LaTeX-incompatible input and strict mode is set to unrecognized '"+n+"': "+t+" ["+e+"]"),1))},t.isTrusted=function(e){e.url&&!e.protocol&&(e.protocol=Z.protocolFromUrl(e.url));e="function"==typeof this.trust?this.trust(e):this.trust;return Boolean(e)};var H=W,e=((t=X.prototype).sup=function(){return L[D[this.id]]},t.sub=function(){return L[P[this.id]]},t.fracNum=function(){return L[F[this.id]]},t.fracDen=function(){return L[V[this.id]]},t.cramp=function(){return L[G[this.id]]},t.text=function(){return L[U[this.id]]},X),L=[new e(0,0,!(t.isTight=function(){return 2<=this.size})),new e(1,0,!0),new e(2,1,!1),new e(3,1,!0),new e(4,2,!1),new e(5,2,!0),new e(6,3,!1),new e(7,3,!0)],D=[4,5,4,5,6,7,6,7],P=[5,5,5,5,7,7,7,7],F=[2,3,4,5,6,7,6,7],V=[3,3,5,5,7,7,7,7],G=[1,1,3,3,5,5,7,7],U=[0,1,2,3,2,3,2,3],K={DISPLAY:L[0],TEXT:L[2],SCRIPT:L[4],SCRIPTSCRIPT:L[6]},Y=[{name:"latin",blocks:[[256,591],[768,879]]},{name:"cyrillic",blocks:[[1024,1279]]},{name:"armenian",blocks:[[1328,1423]]},{name:"brahmic",blocks:[[2304,4255]]},{name:"georgian",blocks:[[4256,4351]]},{name:"cjk",blocks:[[12288,12543],[19968,40879],[65280,65376]]},{name:"hangul",blocks:[[44032,55215]]}];function X(e,t,r){this.id=void 0,this.size=void 0,this.cramped=void 0,this.id=e,this.size=t,this.cramped=r}function W(e){for(var t in this.displayMode=void 0,this.output=void 0,this.leqno=void 0,this.fleqn=void 0,this.throwOnError=void 0,this.errorColor=void 0,this.macros=void 0,this.minRuleThickness=void 0,this.colorIsTextColor=void 0,this.strict=void 0,this.trust=void 0,this.maxSize=void 0,this.maxExpand=void 0,this.globalGroup=void 0,e=e||{},E){var r;E.hasOwnProperty(t)&&(r=E[t],this[t]=void 0!==e[t]?r.processor?r.processor(e[t]):e[t]:function(e){if(e.default)return e.default;if(e=e.type,"string"!=typeof(e=Array.isArray(e)?e[0]:e))return e.enum[0];switch(e){case"boolean":return!1;case"string":return"";case"number":return 0;case"object":return{}}}(r))}}var j=[];function _(e){for(var t=0;t=j[t]&&e<=j[t+1])return 1}Y.forEach(function(e){return e.blocks.forEach(function(e){return j.push.apply(j,e)})});var ne={doubleleftarrow:"M262 157\nl10-10c34-36 62.7-77 86-123 3.3-8 5-13.3 5-16 0-5.3-6.7-8-20-8-7.3\n 0-12.2.5-14.5 1.5-2.3 1-4.8 4.5-7.5 10.5-49.3 97.3-121.7 169.3-217 216-28\n 14-57.3 25-88 33-6.7 2-11 3.8-13 5.5-2 1.7-3 4.2-3 7.5s1 5.8 3 7.5\nc2 1.7 6.3 3.5 13 5.5 68 17.3 128.2 47.8 180.5 91.5 52.3 43.7 93.8 96.2 124.5\n 157.5 9.3 8 15.3 12.3 18 13h6c12-.7 18-4 18-10 0-2-1.7-7-5-15-23.3-46-52-87\n-86-123l-10-10h399738v-40H218c328 0 0 0 0 0l-10-8c-26.7-20-65.7-43-117-69 2.7\n-2 6-3.7 10-5 36.7-16 72.3-37.3 107-64l10-8h399782v-40z\nm8 0v40h399730v-40zm0 194v40h399730v-40z",doublerightarrow:"M399738 392l\n-10 10c-34 36-62.7 77-86 123-3.3 8-5 13.3-5 16 0 5.3 6.7 8 20 8 7.3 0 12.2-.5\n 14.5-1.5 2.3-1 4.8-4.5 7.5-10.5 49.3-97.3 121.7-169.3 217-216 28-14 57.3-25 88\n-33 6.7-2 11-3.8 13-5.5 2-1.7 3-4.2 3-7.5s-1-5.8-3-7.5c-2-1.7-6.3-3.5-13-5.5-68\n-17.3-128.2-47.8-180.5-91.5-52.3-43.7-93.8-96.2-124.5-157.5-9.3-8-15.3-12.3-18\n-13h-6c-12 .7-18 4-18 10 0 2 1.7 7 5 15 23.3 46 52 87 86 123l10 10H0v40h399782\nc-328 0 0 0 0 0l10 8c26.7 20 65.7 43 117 69-2.7 2-6 3.7-10 5-36.7 16-72.3 37.3\n-107 64l-10 8H0v40zM0 157v40h399730v-40zm0 194v40h399730v-40z",leftarrow:"M400000 241H110l3-3c68.7-52.7 113.7-120\n 135-202 4-14.7 6-23 6-25 0-7.3-7-11-21-11-8 0-13.2.8-15.5 2.5-2.3 1.7-4.2 5.8\n-5.5 12.5-1.3 4.7-2.7 10.3-4 17-12 48.7-34.8 92-68.5 130S65.3 228.3 18 247\nc-10 4-16 7.7-18 11 0 8.7 6 14.3 18 17 47.3 18.7 87.8 47 121.5 85S196 441.3 208\n 490c.7 2 1.3 5 2 9s1.2 6.7 1.5 8c.3 1.3 1 3.3 2 6s2.2 4.5 3.5 5.5c1.3 1 3.3\n 1.8 6 2.5s6 1 10 1c14 0 21-3.7 21-11 0-2-2-10.3-6-25-20-79.3-65-146.7-135-202\n l-3-3h399890zM100 241v40h399900v-40z",leftbrace:"M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117\n-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7\n 5-6 9-10 13-.7 1-7.3 1-20 1H6z",leftbraceunder:"M0 6l6-6h17c12.688 0 19.313.3 20 1 4 4 7.313 8.3 10 13\n 35.313 51.3 80.813 93.8 136.5 127.5 55.688 33.7 117.188 55.8 184.5 66.5.688\n 0 2 .3 4 1 18.688 2.7 76 4.3 172 5h399450v120H429l-6-1c-124.688-8-235-61.7\n-331-161C60.687 138.7 32.312 99.3 7 54L0 41V6z",leftgroup:"M400000 80\nH435C64 80 168.3 229.4 21 260c-5.9 1.2-18 0-18 0-2 0-3-1-3-3v-38C76 61 257 0\n 435 0h399565z",leftgroupunder:"M400000 262\nH435C64 262 168.3 112.6 21 82c-5.9-1.2-18 0-18 0-2 0-3 1-3 3v38c76 158 257 219\n 435 219h399565z",leftharpoon:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3\n-3.3 10.2-9.5 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5\n-18.3 3-21-1.3-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7\n-196 228-6.7 4.7-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40z",leftharpoonplus:"M0 267c.7 5.3 3 10 7 14h399993v-40H93c3.3-3.3 10.2-9.5\n 20.5-18.5s17.8-15.8 22.5-20.5c50.7-52 88-110.3 112-175 4-11.3 5-18.3 3-21-1.3\n-4-7.3-6-18-6-8 0-13 .7-15 2s-4.7 6.7-8 16c-42 98.7-107.3 174.7-196 228-6.7 4.7\n-10.7 8-12 10-1.3 2-2 5.7-2 11zm100-26v40h399900v-40zM0 435v40h400000v-40z\nm0 0v40h400000v-40z",leftharpoondown:"M7 241c-4 4-6.333 8.667-7 14 0 5.333.667 9 2 11s5.333\n 5.333 12 10c90.667 54 156 130 196 228 3.333 10.667 6.333 16.333 9 17 2 .667 5\n 1 9 1h5c10.667 0 16.667-2 18-6 2-2.667 1-9.667-3-21-32-87.333-82.667-157.667\n-152-211l-3-3h399907v-40zM93 281 H400000 v-40L7 241z",leftharpoondownplus:"M7 435c-4 4-6.3 8.7-7 14 0 5.3.7 9 2 11s5.3 5.3 12\n 10c90.7 54 156 130 196 228 3.3 10.7 6.3 16.3 9 17 2 .7 5 1 9 1h5c10.7 0 16.7\n-2 18-6 2-2.7 1-9.7-3-21-32-87.3-82.7-157.7-152-211l-3-3h399907v-40H7zm93 0\nv40h399900v-40zM0 241v40h399900v-40zm0 0v40h399900v-40z",lefthook:"M400000 281 H103s-33-11.2-61-33.5S0 197.3 0 164s14.2-61.2 42.5\n-83.5C70.8 58.2 104 47 142 47 c16.7 0 25 6.7 25 20 0 12-8.7 18.7-26 20-40 3.3\n-68.7 15.7-86 37-10 12-15 25.3-15 40 0 22.7 9.8 40.7 29.5 54 19.7 13.3 43.5 21\n 71.5 23h399859zM103 281v-40h399897v40z",leftlinesegment:"M40 281 V428 H0 V94 H40 V241 H400000 v40z\nM40 281 V428 H0 V94 H40 V241 H400000 v40z",leftmapsto:"M40 281 V448H0V74H40V241H400000v40z\nM40 281 V448H0V74H40V241H400000v40z",leftToFrom:"M0 147h400000v40H0zm0 214c68 40 115.7 95.7 143 167h22c15.3 0 23\n-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69-70-101l-7-8h399905v-40H95l7-8\nc28.7-32 52-65.7 70-101 10.7-23.3 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 265.3\n 68 321 0 361zm0-174v-40h399900v40zm100 154v40h399900v-40z",longequal:"M0 50 h400000 v40H0z m0 194h40000v40H0z\nM0 50 h400000 v40H0z m0 194h40000v40H0z",midbrace:"M200428 334\nc-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14\n-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7\n 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11\n 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z",midbraceunder:"M199572 214\nc100.7 8.3 195.3 44 280 108 55.3 42 101.7 93 139 153l9 14c2.7-4 5.7-8.7 9-14\n 53.3-86.7 123.7-153 211-199 66.7-36 137.3-56.3 212-62h199568v120H200432c-178.3\n 11.7-311.7 78.3-403 201-6 8-9.7 12-11 12-.7.7-6.7 1-18 1s-17.3-.3-18-1c-1.3 0\n-5-4-11-12-44.7-59.3-101.3-106.3-170-141s-145.3-54.3-229-60H0V214z",oiintSize1:"M512.6 71.6c272.6 0 320.3 106.8 320.3 178.2 0 70.8-47.7 177.6\n-320.3 177.6S193.1 320.6 193.1 249.8c0-71.4 46.9-178.2 319.5-178.2z\nm368.1 178.2c0-86.4-60.9-215.4-368.1-215.4-306.4 0-367.3 129-367.3 215.4 0 85.8\n60.9 214.8 367.3 214.8 307.2 0 368.1-129 368.1-214.8z",oiintSize2:"M757.8 100.1c384.7 0 451.1 137.6 451.1 230 0 91.3-66.4 228.8\n-451.1 228.8-386.3 0-452.7-137.5-452.7-228.8 0-92.4 66.4-230 452.7-230z\nm502.4 230c0-111.2-82.4-277.2-502.4-277.2s-504 166-504 277.2\nc0 110 84 276 504 276s502.4-166 502.4-276z",oiiintSize1:"M681.4 71.6c408.9 0 480.5 106.8 480.5 178.2 0 70.8-71.6 177.6\n-480.5 177.6S202.1 320.6 202.1 249.8c0-71.4 70.5-178.2 479.3-178.2z\nm525.8 178.2c0-86.4-86.8-215.4-525.7-215.4-437.9 0-524.7 129-524.7 215.4 0\n85.8 86.8 214.8 524.7 214.8 438.9 0 525.7-129 525.7-214.8z",oiiintSize2:"M1021.2 53c603.6 0 707.8 165.8 707.8 277.2 0 110-104.2 275.8\n-707.8 275.8-606 0-710.2-165.8-710.2-275.8C311 218.8 415.2 53 1021.2 53z\nm770.4 277.1c0-131.2-126.4-327.6-770.5-327.6S248.4 198.9 248.4 330.1\nc0 130 128.8 326.4 772.7 326.4s770.5-196.4 770.5-326.4z",rightarrow:"M0 241v40h399891c-47.3 35.3-84 78-110 128\n-16.7 32-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20\n 11 8 0 13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7\n 39-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85\n-40.5-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n 151.7 139 205zm0 0v40h399900v-40z",rightbrace:"M400000 542l\n-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5\ns-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1\nc124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z",rightbraceunder:"M399994 0l6 6v35l-6 11c-56 104-135.3 181.3-238 232-57.3\n 28.7-117 45-179 50H-300V214h399897c43.3-7 81-15 113-26 100.7-33 179.7-91 237\n-174 2.7-5 6-9 10-13 .7-1 7.3-1 20-1h17z",rightgroup:"M0 80h399565c371 0 266.7 149.4 414 180 5.9 1.2 18 0 18 0 2 0\n 3-1 3-3v-38c-76-158-257-219-435-219H0z",rightgroupunder:"M0 262h399565c371 0 266.7-149.4 414-180 5.9-1.2 18 0 18\n 0 2 0 3 1 3 3v38c-76 158-257 219-435 219H0z",rightharpoon:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3\n-3.7-15.3-11-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2\n-10.7 0-16.7 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58\n 69.2 92 94.5zm0 0v40h399900v-40z",rightharpoonplus:"M0 241v40h399993c4.7-4.7 7-9.3 7-14 0-9.3-3.7-15.3-11\n-18-92.7-56.7-159-133.7-199-231-3.3-9.3-6-14.7-8-16-2-1.3-7-2-15-2-10.7 0-16.7\n 2-18 6-2 2.7-1 9.7 3 21 15.3 42 36.7 81.8 64 119.5 27.3 37.7 58 69.2 92 94.5z\nm0 0v40h399900v-40z m100 194v40h399900v-40zm0 0v40h399900v-40z",rightharpoondown:"M399747 511c0 7.3 6.7 11 20 11 8 0 13-.8 15-2.5s4.7-6.8\n 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3 8.5-5.8 9.5\n-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3-64.7 57-92 95\n-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 241v40h399900v-40z",rightharpoondownplus:"M399747 705c0 7.3 6.7 11 20 11 8 0 13-.8\n 15-2.5s4.7-6.8 8-15.5c40-94 99.3-166.3 178-217 13.3-8 20.3-12.3 21-13 5.3-3.3\n 8.5-5.8 9.5-7.5 1-1.7 1.5-5.2 1.5-10.5s-2.3-10.3-7-15H0v40h399908c-34 25.3\n-64.7 57-92 95-27.3 38-48.7 77.7-64 119-3.3 8.7-5 14-5 16zM0 435v40h399900v-40z\nm0-194v40h400000v-40zm0 0v40h400000v-40z",righthook:"M399859 241c-764 0 0 0 0 0 40-3.3 68.7-15.7 86-37 10-12 15-25.3\n 15-40 0-22.7-9.8-40.7-29.5-54-19.7-13.3-43.5-21-71.5-23-17.3-1.3-26-8-26-20 0\n-13.3 8.7-20 26-20 38 0 71 11.2 99 33.5 0 0 7 5.6 21 16.7 14 11.2 21 33.5 21\n 66.8s-14 61.2-42 83.5c-28 22.3-61 33.5-99 33.5L0 241z M0 281v-40h399859v40z",rightlinesegment:"M399960 241 V94 h40 V428 h-40 V281 H0 v-40z\nM399960 241 V94 h40 V428 h-40 V281 H0 v-40z",rightToFrom:"M400000 167c-70.7-42-118-97.7-142-167h-23c-15.3 0-23 .3-23\n 1 0 1.3 5.3 13.7 16 37 18 35.3 41.3 69 70 101l7 8H0v40h399905l-7 8c-28.7 32\n-52 65.7-70 101-10.7 23.3-16 35.7-16 37 0 .7 7.7 1 23 1h23c24-69.3 71.3-125 142\n-167z M100 147v40h399900v-40zM0 341v40h399900v-40z",twoheadleftarrow:"M0 167c68 40\n 115.7 95.7 143 167h22c15.3 0 23-.3 23-1 0-1.3-5.3-13.7-16-37-18-35.3-41.3-69\n-70-101l-7-8h125l9 7c50.7 39.3 85 86 103 140h46c0-4.7-6.3-18.7-19-42-18-35.3\n-40-67.3-66-96l-9-9h399716v-40H284l9-9c26-28.7 48-60.7 66-96 12.7-23.333 19\n-37.333 19-42h-46c-18 54-52.3 100.7-103 140l-9 7H95l7-8c28.7-32 52-65.7 70-101\n 10.7-23.333 16-35.7 16-37 0-.7-7.7-1-23-1h-22C115.7 71.3 68 127 0 167z",twoheadrightarrow:"M400000 167\nc-68-40-115.7-95.7-143-167h-22c-15.3 0-23 .3-23 1 0 1.3 5.3 13.7 16 37 18 35.3\n 41.3 69 70 101l7 8h-125l-9-7c-50.7-39.3-85-86-103-140h-46c0 4.7 6.3 18.7 19 42\n 18 35.3 40 67.3 66 96l9 9H0v40h399716l-9 9c-26 28.7-48 60.7-66 96-12.7 23.333\n-19 37.333-19 42h46c18-54 52.3-100.7 103-140l9-7h125l-7 8c-28.7 32-52 65.7-70\n 101-10.7 23.333-16 35.7-16 37 0 .7 7.7 1 23 1h22c27.3-71.3 75-127 143-167z",tilde1:"M200 55.538c-77 0-168 73.953-177 73.953-3 0-7\n-2.175-9-5.437L2 97c-1-2-2-4-2-6 0-4 2-7 5-9l20-12C116 12 171 0 207 0c86 0\n 114 68 191 68 78 0 168-68 177-68 4 0 7 2 9 5l12 19c1 2.175 2 4.35 2 6.525 0\n 4.35-2 7.613-5 9.788l-19 13.05c-92 63.077-116.937 75.308-183 76.128\n-68.267.847-113-73.952-191-73.952z",tilde2:"M344 55.266c-142 0-300.638 81.316-311.5 86.418\n-8.01 3.762-22.5 10.91-23.5 5.562L1 120c-1-2-1-3-1-4 0-5 3-9 8-10l18.4-9C160.9\n 31.9 283 0 358 0c148 0 188 122 331 122s314-97 326-97c4 0 8 2 10 7l7 21.114\nc1 2.14 1 3.21 1 4.28 0 5.347-3 9.626-7 10.696l-22.3 12.622C852.6 158.372 751\n 181.476 676 181.476c-149 0-189-126.21-332-126.21z",tilde3:"M786 59C457 59 32 175.242 13 175.242c-6 0-10-3.457\n-11-10.37L.15 138c-1-7 3-12 10-13l19.2-6.4C378.4 40.7 634.3 0 804.3 0c337 0\n 411.8 157 746.8 157 328 0 754-112 773-112 5 0 10 3 11 9l1 14.075c1 8.066-.697\n 16.595-6.697 17.492l-21.052 7.31c-367.9 98.146-609.15 122.696-778.15 122.696\n -338 0-409-156.573-744-156.573z",tilde4:"M786 58C457 58 32 177.487 13 177.487c-6 0-10-3.345\n-11-10.035L.15 143c-1-7 3-12 10-13l22-6.7C381.2 35 637.15 0 807.15 0c337 0 409\n 177 744 177 328 0 754-127 773-127 5 0 10 3 11 9l1 14.794c1 7.805-3 13.38-9\n 14.495l-20.7 5.574c-366.85 99.79-607.3 139.372-776.3 139.372-338 0-409\n -175.236-744-175.236z",vec:"M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5\n3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11\n10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63\n-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1\n-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59\nH213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359\nc-16-25.333-24-45-24-59z",widehat1:"M529 0h5l519 115c5 1 9 5 9 10 0 1-1 2-1 3l-4 22\nc-1 5-5 9-11 9h-2L532 67 19 159h-2c-5 0-9-4-11-9l-5-22c-1-6 2-12 8-13z",widehat2:"M1181 0h2l1171 176c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 220h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat3:"M1181 0h2l1171 236c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 280h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widehat4:"M1181 0h2l1171 296c6 0 10 5 10 11l-2 23c-1 6-5 10\n-11 10h-1L1182 67 15 340h-1c-6 0-10-4-11-10l-2-23c-1-6 4-11 10-11z",widecheck1:"M529,159h5l519,-115c5,-1,9,-5,9,-10c0,-1,-1,-2,-1,-3l-4,-22c-1,\n-5,-5,-9,-11,-9h-2l-512,92l-513,-92h-2c-5,0,-9,4,-11,9l-5,22c-1,6,2,12,8,13z",widecheck2:"M1181,220h2l1171,-176c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,153l-1167,-153h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck3:"M1181,280h2l1171,-236c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,213l-1167,-213h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",widecheck4:"M1181,340h2l1171,-296c6,0,10,-5,10,-11l-2,-23c-1,-6,-5,-10,\n-11,-10h-1l-1168,273l-1167,-273h-1c-6,0,-10,4,-11,10l-2,23c-1,6,4,11,10,11z",baraboveleftarrow:"M400000 620h-399890l3 -3c68.7 -52.7 113.7 -120 135 -202\nc4 -14.7 6 -23 6 -25c0 -7.3 -7 -11 -21 -11c-8 0 -13.2 0.8 -15.5 2.5\nc-2.3 1.7 -4.2 5.8 -5.5 12.5c-1.3 4.7 -2.7 10.3 -4 17c-12 48.7 -34.8 92 -68.5 130\ns-74.2 66.3 -121.5 85c-10 4 -16 7.7 -18 11c0 8.7 6 14.3 18 17c47.3 18.7 87.8 47\n121.5 85s56.5 81.3 68.5 130c0.7 2 1.3 5 2 9s1.2 6.7 1.5 8c0.3 1.3 1 3.3 2 6\ns2.2 4.5 3.5 5.5c1.3 1 3.3 1.8 6 2.5s6 1 10 1c14 0 21 -3.7 21 -11\nc0 -2 -2 -10.3 -6 -25c-20 -79.3 -65 -146.7 -135 -202l-3 -3h399890z\nM100 620v40h399900v-40z M0 241v40h399900v-40zM0 241v40h399900v-40z",rightarrowabovebar:"M0 241v40h399891c-47.3 35.3-84 78-110 128-16.7 32\n-27.7 63.7-33 95 0 1.3-.2 2.7-.5 4-.3 1.3-.5 2.3-.5 3 0 7.3 6.7 11 20 11 8 0\n13.2-.8 15.5-2.5 2.3-1.7 4.2-5.5 5.5-11.5 2-13.3 5.7-27 11-41 14.7-44.7 39\n-84.5 73-119.5s73.7-60.2 119-75.5c6-2 9-5.7 9-11s-3-9-9-11c-45.3-15.3-85-40.5\n-119-75.5s-58.3-74.8-73-119.5c-4.7-14-8.3-27.3-11-40-1.3-6.7-3.2-10.8-5.5\n-12.5-2.3-1.7-7.5-2.5-15.5-2.5-14 0-21 3.7-21 11 0 2 2 10.3 6 25 20.7 83.3 67\n151.7 139 205zm96 379h399894v40H0zm0 0h399904v40H0z",baraboveshortleftharpoon:"M507,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17\nc2,0.7,5,1,9,1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21\nc-32,-87.3,-82.7,-157.7,-152,-211c0,0,-3,-3,-3,-3l399351,0l0,-40\nc-398570,0,-399437,0,-399437,0z M593 435 v40 H399500 v-40z\nM0 281 v-40 H399908 v40z M0 281 v-40 H399908 v40z",rightharpoonaboveshortbar:"M0,241 l0,40c399126,0,399993,0,399993,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM0 241 v40 H399908 v-40z M0 475 v-40 H399500 v40z M0 475 v-40 H399500 v40z",shortbaraboveleftharpoon:"M7,435c-4,4,-6.3,8.7,-7,14c0,5.3,0.7,9,2,11\nc1.3,2,5.3,5.3,12,10c90.7,54,156,130,196,228c3.3,10.7,6.3,16.3,9,17c2,0.7,5,1,9,\n1c0,0,5,0,5,0c10.7,0,16.7,-2,18,-6c2,-2.7,1,-9.7,-3,-21c-32,-87.3,-82.7,-157.7,\n-152,-211c0,0,-3,-3,-3,-3l399907,0l0,-40c-399126,0,-399993,0,-399993,0z\nM93 435 v40 H400000 v-40z M500 241 v40 H400000 v-40z M500 241 v40 H400000 v-40z",shortrightharpoonabovebar:"M53,241l0,40c398570,0,399437,0,399437,0\nc4.7,-4.7,7,-9.3,7,-14c0,-9.3,-3.7,-15.3,-11,-18c-92.7,-56.7,-159,-133.7,-199,\n-231c-3.3,-9.3,-6,-14.7,-8,-16c-2,-1.3,-7,-2,-15,-2c-10.7,0,-16.7,2,-18,6\nc-2,2.7,-1,9.7,3,21c15.3,42,36.7,81.8,64,119.5c27.3,37.7,58,69.2,92,94.5z\nM500 241 v40 H399408 v-40z M500 435 v40 H400000 v-40z"},ie=((t=le.prototype).hasClass=function(e){return Z.contains(this.classes,e)},t.toNode=function(){for(var e=document.createDocumentFragment(),t=0;t"}var ve=t,we={pt:1,mm:7227/2540,cm:7227/254,in:72.27,bp:1.00375,pc:12,dd:1238/1157,cc:14856/1157,nd:685/642,nc:1370/107,sp:1/65536,px:1.00375},ke={ex:!0,em:!0,mu:!0},Q=function(e){return+e.toFixed(4)+"em"},Se=((e=He.prototype).setAttribute=function(e,t){this.attributes[e]=t},e.hasClass=function(e){return Z.contains(this.classes,e)},e.toNode=function(){return be.call(this,"span")},e.toMarkup=function(){return xe.call(this,"span")},He),Me=((t=Ee.prototype).setAttribute=function(e,t){this.attributes[e]=t},t.hasClass=function(e){return Z.contains(this.classes,e)},t.toNode=function(){return be.call(this,"a")},t.toMarkup=function(){return xe.call(this,"a")},Ee),ze=((e=Re.prototype).hasClass=function(e){return Z.contains(this.classes,e)},e.toNode=function(){var e,t=document.createElement("img");for(e in t.src=this.src,t.alt=this.alt,t.className="mord",this.style)this.style.hasOwnProperty(e)&&(t.style[e]=this.style[e]);return t},e.toMarkup=function(){var e,t=""+this.alt+""},Re),Ae={"î":"ı̂","ï":"ı̈","í":"ı́","ì":"ı̀"},b=((t=Oe.prototype).hasClass=function(e){return Z.contains(this.classes,e)},t.toNode=function(){var e,t=document.createTextNode(this.text),r=null;for(e in 0"+i)+"":i},Oe),Te=((e=Ie.prototype).toNode=function(){var e,t=document.createElementNS("http://www.w3.org/2000/svg","svg");for(e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&t.setAttribute(e,this.attributes[e]);for(var r=0;r"},Ie),Be=((t=qe.prototype).toNode=function(){var e=document.createElementNS("http://www.w3.org/2000/svg","path");return this.alternate?e.setAttribute("d",this.alternate):e.setAttribute("d",ne[this.pathName]),e},t.toMarkup=function(){return this.alternate?"":""},qe),Ce=((e=Ne.prototype).toNode=function(){var e,t=document.createElementNS("http://www.w3.org/2000/svg","line");for(e in this.attributes)Object.prototype.hasOwnProperty.call(this.attributes,e)&&t.setAttribute(e,this.attributes[e]);return t},e.toMarkup=function(){var e,t=""},Ne);function Ne(e){this.attributes=void 0,this.attributes=e||{}}function qe(e,t){this.pathName=void 0,this.alternate=void 0,this.pathName=e,this.alternate=t}function Ie(e,t){this.children=void 0,this.attributes=void 0,this.children=e||[],this.attributes=t||{}}function Oe(e,t,r,n,i,a,o,s){this.text=void 0,this.height=void 0,this.depth=void 0,this.italic=void 0,this.skew=void 0,this.width=void 0,this.maxFontSize=void 0,this.classes=void 0,this.style=void 0,this.text=e,this.height=t||0,this.depth=r||0,this.italic=n||0,this.skew=i||0,this.width=a||0,this.classes=o||[],this.style=s||{},this.maxFontSize=0;e=function(e){for(var t=0;t=i[0]&&e<=i[1])return r.name}return null}(this.text.charCodeAt(0));e&&this.classes.push(e+"_fallback"),/[\xee\xef\xed\xec]/.test(this.text)&&(this.text=Ae[this.text])}function Re(e,t,r){this.src=void 0,this.alt=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,this.alt=t,this.src=e,this.classes=["mord"],this.style=r}function Ee(e,t,r,n){this.children=void 0,this.attributes=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.maxFontSize=void 0,this.style=void 0,ye.call(this,t,n),this.children=r||[],this.setAttribute("href",e)}function He(e,t,r,n){this.children=void 0,this.attributes=void 0,this.classes=void 0,this.height=void 0,this.depth=void 0,this.width=void 0,this.maxFontSize=void 0,this.style=void 0,ye.call(this,e,r,n),this.children=t||[]}function Le(e){if(e instanceof b)return e;throw new Error("Expected symbolNode but got "+String(e)+".")}var De={bin:1,close:1,inner:1,open:1,punct:1,rel:1},Pe={"accent-token":1,mathord:1,"op-token":1,spacing:1,textord:1},Fe={math:{},text:{}},p=Fe;function r(e,t,r,n,i,a){Fe[e][i]={font:t,group:r,replace:n},a&&n&&(Fe[e][n]=Fe[e][i])}var n="math",i="text",a="main",t="ams",e="accent-token",o="bin",s="close",Ve="inner",l="mathord",h="op-token",m="open",c="punct",u="rel",d="spacing",f="textord",Ge=(r(n,a,u,"≡","\\equiv",!0),r(n,a,u,"≺","\\prec",!0),r(n,a,u,"≻","\\succ",!0),r(n,a,u,"∼","\\sim",!0),r(n,a,u,"⊥","\\perp"),r(n,a,u,"⪯","\\preceq",!0),r(n,a,u,"⪰","\\succeq",!0),r(n,a,u,"≃","\\simeq",!0),r(n,a,u,"∣","\\mid",!0),r(n,a,u,"≪","\\ll",!0),r(n,a,u,"≫","\\gg",!0),r(n,a,u,"≍","\\asymp",!0),r(n,a,u,"∥","\\parallel"),r(n,a,u,"⋈","\\bowtie",!0),r(n,a,u,"⌣","\\smile",!0),r(n,a,u,"⊑","\\sqsubseteq",!0),r(n,a,u,"⊒","\\sqsupseteq",!0),r(n,a,u,"≐","\\doteq",!0),r(n,a,u,"⌢","\\frown",!0),r(n,a,u,"∋","\\ni",!0),r(n,a,u,"∝","\\propto",!0),r(n,a,u,"⊢","\\vdash",!0),r(n,a,u,"⊣","\\dashv",!0),r(n,a,u,"∋","\\owns"),r(n,a,c,".","\\ldotp"),r(n,a,c,"⋅","\\cdotp"),r(n,a,f,"#","\\#"),r(i,a,f,"#","\\#"),r(n,a,f,"&","\\&"),r(i,a,f,"&","\\&"),r(n,a,f,"ℵ","\\aleph",!0),r(n,a,f,"∀","\\forall",!0),r(n,a,f,"ℏ","\\hbar",!0),r(n,a,f,"∃","\\exists",!0),r(n,a,f,"∇","\\nabla",!0),r(n,a,f,"♭","\\flat",!0),r(n,a,f,"ℓ","\\ell",!0),r(n,a,f,"♮","\\natural",!0),r(n,a,f,"♣","\\clubsuit",!0),r(n,a,f,"℘","\\wp",!0),r(n,a,f,"♯","\\sharp",!0),r(n,a,f,"♢","\\diamondsuit",!0),r(n,a,f,"ℜ","\\Re",!0),r(n,a,f,"♡","\\heartsuit",!0),r(n,a,f,"ℑ","\\Im",!0),r(n,a,f,"♠","\\spadesuit",!0),r(n,a,f,"§","\\S",!0),r(i,a,f,"§","\\S"),r(n,a,f,"¶","\\P",!0),r(i,a,f,"¶","\\P"),r(n,a,f,"†","\\dag"),r(i,a,f,"†","\\dag"),r(i,a,f,"†","\\textdagger"),r(n,a,f,"‡","\\ddag"),r(i,a,f,"‡","\\ddag"),r(i,a,f,"‡","\\textdaggerdbl"),r(n,a,s,"⎱","\\rmoustache",!0),r(n,a,m,"⎰","\\lmoustache",!0),r(n,a,s,"⟯","\\rgroup",!0),r(n,a,m,"⟮","\\lgroup",!0),r(n,a,o,"∓","\\mp",!0),r(n,a,o,"⊖","\\ominus",!0),r(n,a,o,"⊎","\\uplus",!0),r(n,a,o,"⊓","\\sqcap",!0),r(n,a,o,"∗","\\ast"),r(n,a,o,"⊔","\\sqcup",!0),r(n,a,o,"◯","\\bigcirc",!0),r(n,a,o,"∙","\\bullet",!0),r(n,a,o,"‡","\\ddagger"),r(n,a,o,"≀","\\wr",!0),r(n,a,o,"⨿","\\amalg"),r(n,a,o,"&","\\And"),r(n,a,u,"⟵","\\longleftarrow",!0),r(n,a,u,"⇐","\\Leftarrow",!0),r(n,a,u,"⟸","\\Longleftarrow",!0),r(n,a,u,"⟶","\\longrightarrow",!0),r(n,a,u,"⇒","\\Rightarrow",!0),r(n,a,u,"⟹","\\Longrightarrow",!0),r(n,a,u,"↔","\\leftrightarrow",!0),r(n,a,u,"⟷","\\longleftrightarrow",!0),r(n,a,u,"⇔","\\Leftrightarrow",!0),r(n,a,u,"⟺","\\Longleftrightarrow",!0),r(n,a,u,"↦","\\mapsto",!0),r(n,a,u,"⟼","\\longmapsto",!0),r(n,a,u,"↗","\\nearrow",!0),r(n,a,u,"↩","\\hookleftarrow",!0),r(n,a,u,"↪","\\hookrightarrow",!0),r(n,a,u,"↘","\\searrow",!0),r(n,a,u,"↼","\\leftharpoonup",!0),r(n,a,u,"⇀","\\rightharpoonup",!0),r(n,a,u,"↙","\\swarrow",!0),r(n,a,u,"↽","\\leftharpoondown",!0),r(n,a,u,"⇁","\\rightharpoondown",!0),r(n,a,u,"↖","\\nwarrow",!0),r(n,a,u,"⇌","\\rightleftharpoons",!0),r(n,t,u,"≮","\\nless",!0),r(n,t,u,"","\\@nleqslant"),r(n,t,u,"","\\@nleqq"),r(n,t,u,"⪇","\\lneq",!0),r(n,t,u,"≨","\\lneqq",!0),r(n,t,u,"","\\@lvertneqq"),r(n,t,u,"⋦","\\lnsim",!0),r(n,t,u,"⪉","\\lnapprox",!0),r(n,t,u,"⊀","\\nprec",!0),r(n,t,u,"⋠","\\npreceq",!0),r(n,t,u,"⋨","\\precnsim",!0),r(n,t,u,"⪹","\\precnapprox",!0),r(n,t,u,"≁","\\nsim",!0),r(n,t,u,"","\\@nshortmid"),r(n,t,u,"∤","\\nmid",!0),r(n,t,u,"⊬","\\nvdash",!0),r(n,t,u,"⊭","\\nvDash",!0),r(n,t,u,"⋪","\\ntriangleleft"),r(n,t,u,"⋬","\\ntrianglelefteq",!0),r(n,t,u,"⊊","\\subsetneq",!0),r(n,t,u,"","\\@varsubsetneq"),r(n,t,u,"⫋","\\subsetneqq",!0),r(n,t,u,"","\\@varsubsetneqq"),r(n,t,u,"≯","\\ngtr",!0),r(n,t,u,"","\\@ngeqslant"),r(n,t,u,"","\\@ngeqq"),r(n,t,u,"⪈","\\gneq",!0),r(n,t,u,"≩","\\gneqq",!0),r(n,t,u,"","\\@gvertneqq"),r(n,t,u,"⋧","\\gnsim",!0),r(n,t,u,"⪊","\\gnapprox",!0),r(n,t,u,"⊁","\\nsucc",!0),r(n,t,u,"⋡","\\nsucceq",!0),r(n,t,u,"⋩","\\succnsim",!0),r(n,t,u,"⪺","\\succnapprox",!0),r(n,t,u,"≆","\\ncong",!0),r(n,t,u,"","\\@nshortparallel"),r(n,t,u,"∦","\\nparallel",!0),r(n,t,u,"⊯","\\nVDash",!0),r(n,t,u,"⋫","\\ntriangleright"),r(n,t,u,"⋭","\\ntrianglerighteq",!0),r(n,t,u,"","\\@nsupseteqq"),r(n,t,u,"⊋","\\supsetneq",!0),r(n,t,u,"","\\@varsupsetneq"),r(n,t,u,"⫌","\\supsetneqq",!0),r(n,t,u,"","\\@varsupsetneqq"),r(n,t,u,"⊮","\\nVdash",!0),r(n,t,u,"⪵","\\precneqq",!0),r(n,t,u,"⪶","\\succneqq",!0),r(n,t,u,"","\\@nsubseteqq"),r(n,t,o,"⊴","\\unlhd"),r(n,t,o,"⊵","\\unrhd"),r(n,t,u,"↚","\\nleftarrow",!0),r(n,t,u,"↛","\\nrightarrow",!0),r(n,t,u,"⇍","\\nLeftarrow",!0),r(n,t,u,"⇏","\\nRightarrow",!0),r(n,t,u,"↮","\\nleftrightarrow",!0),r(n,t,u,"⇎","\\nLeftrightarrow",!0),r(n,t,u,"△","\\vartriangle"),r(n,t,f,"ℏ","\\hslash"),r(n,t,f,"▽","\\triangledown"),r(n,t,f,"◊","\\lozenge"),r(n,t,f,"Ⓢ","\\circledS"),r(n,t,f,"®","\\circledR"),r(i,t,f,"®","\\circledR"),r(n,t,f,"∡","\\measuredangle",!0),r(n,t,f,"∄","\\nexists"),r(n,t,f,"℧","\\mho"),r(n,t,f,"Ⅎ","\\Finv",!0),r(n,t,f,"⅁","\\Game",!0),r(n,t,f,"‵","\\backprime"),r(n,t,f,"▲","\\blacktriangle"),r(n,t,f,"▼","\\blacktriangledown"),r(n,t,f,"■","\\blacksquare"),r(n,t,f,"⧫","\\blacklozenge"),r(n,t,f,"★","\\bigstar"),r(n,t,f,"∢","\\sphericalangle",!0),r(n,t,f,"∁","\\complement",!0),r(n,t,f,"ð","\\eth",!0),r(i,a,f,"ð","ð"),r(n,t,f,"╱","\\diagup"),r(n,t,f,"╲","\\diagdown"),r(n,t,f,"□","\\square"),r(n,t,f,"□","\\Box"),r(n,t,f,"◊","\\Diamond"),r(n,t,f,"¥","\\yen",!0),r(i,t,f,"¥","\\yen",!0),r(n,t,f,"✓","\\checkmark",!0),r(i,t,f,"✓","\\checkmark"),r(n,t,f,"ℶ","\\beth",!0),r(n,t,f,"ℸ","\\daleth",!0),r(n,t,f,"ℷ","\\gimel",!0),r(n,t,f,"ϝ","\\digamma",!0),r(n,t,f,"ϰ","\\varkappa"),r(n,t,m,"┌","\\@ulcorner",!0),r(n,t,s,"┐","\\@urcorner",!0),r(n,t,m,"└","\\@llcorner",!0),r(n,t,s,"┘","\\@lrcorner",!0),r(n,t,u,"≦","\\leqq",!0),r(n,t,u,"⩽","\\leqslant",!0),r(n,t,u,"⪕","\\eqslantless",!0),r(n,t,u,"≲","\\lesssim",!0),r(n,t,u,"⪅","\\lessapprox",!0),r(n,t,u,"≊","\\approxeq",!0),r(n,t,o,"⋖","\\lessdot"),r(n,t,u,"⋘","\\lll",!0),r(n,t,u,"≶","\\lessgtr",!0),r(n,t,u,"⋚","\\lesseqgtr",!0),r(n,t,u,"⪋","\\lesseqqgtr",!0),r(n,t,u,"≑","\\doteqdot"),r(n,t,u,"≓","\\risingdotseq",!0),r(n,t,u,"≒","\\fallingdotseq",!0),r(n,t,u,"∽","\\backsim",!0),r(n,t,u,"⋍","\\backsimeq",!0),r(n,t,u,"⫅","\\subseteqq",!0),r(n,t,u,"⋐","\\Subset",!0),r(n,t,u,"⊏","\\sqsubset",!0),r(n,t,u,"≼","\\preccurlyeq",!0),r(n,t,u,"⋞","\\curlyeqprec",!0),r(n,t,u,"≾","\\precsim",!0),r(n,t,u,"⪷","\\precapprox",!0),r(n,t,u,"⊲","\\vartriangleleft"),r(n,t,u,"⊴","\\trianglelefteq"),r(n,t,u,"⊨","\\vDash",!0),r(n,t,u,"⊪","\\Vvdash",!0),r(n,t,u,"⌣","\\smallsmile"),r(n,t,u,"⌢","\\smallfrown"),r(n,t,u,"≏","\\bumpeq",!0),r(n,t,u,"≎","\\Bumpeq",!0),r(n,t,u,"≧","\\geqq",!0),r(n,t,u,"⩾","\\geqslant",!0),r(n,t,u,"⪖","\\eqslantgtr",!0),r(n,t,u,"≳","\\gtrsim",!0),r(n,t,u,"⪆","\\gtrapprox",!0),r(n,t,o,"⋗","\\gtrdot"),r(n,t,u,"⋙","\\ggg",!0),r(n,t,u,"≷","\\gtrless",!0),r(n,t,u,"⋛","\\gtreqless",!0),r(n,t,u,"⪌","\\gtreqqless",!0),r(n,t,u,"≖","\\eqcirc",!0),r(n,t,u,"≗","\\circeq",!0),r(n,t,u,"≜","\\triangleq",!0),r(n,t,u,"∼","\\thicksim"),r(n,t,u,"≈","\\thickapprox"),r(n,t,u,"⫆","\\supseteqq",!0),r(n,t,u,"⋑","\\Supset",!0),r(n,t,u,"⊐","\\sqsupset",!0),r(n,t,u,"≽","\\succcurlyeq",!0),r(n,t,u,"⋟","\\curlyeqsucc",!0),r(n,t,u,"≿","\\succsim",!0),r(n,t,u,"⪸","\\succapprox",!0),r(n,t,u,"⊳","\\vartriangleright"),r(n,t,u,"⊵","\\trianglerighteq"),r(n,t,u,"⊩","\\Vdash",!0),r(n,t,u,"∣","\\shortmid"),r(n,t,u,"∥","\\shortparallel"),r(n,t,u,"≬","\\between",!0),r(n,t,u,"⋔","\\pitchfork",!0),r(n,t,u,"∝","\\varpropto"),r(n,t,u,"◀","\\blacktriangleleft"),r(n,t,u,"∴","\\therefore",!0),r(n,t,u,"∍","\\backepsilon"),r(n,t,u,"▶","\\blacktriangleright"),r(n,t,u,"∵","\\because",!0),r(n,t,u,"⋘","\\llless"),r(n,t,u,"⋙","\\gggtr"),r(n,t,o,"⊲","\\lhd"),r(n,t,o,"⊳","\\rhd"),r(n,t,u,"≂","\\eqsim",!0),r(n,a,u,"⋈","\\Join"),r(n,t,u,"≑","\\Doteq",!0),r(n,t,o,"∔","\\dotplus",!0),r(n,t,o,"∖","\\smallsetminus"),r(n,t,o,"⋒","\\Cap",!0),r(n,t,o,"⋓","\\Cup",!0),r(n,t,o,"⩞","\\doublebarwedge",!0),r(n,t,o,"⊟","\\boxminus",!0),r(n,t,o,"⊞","\\boxplus",!0),r(n,t,o,"⋇","\\divideontimes",!0),r(n,t,o,"⋉","\\ltimes",!0),r(n,t,o,"⋊","\\rtimes",!0),r(n,t,o,"⋋","\\leftthreetimes",!0),r(n,t,o,"⋌","\\rightthreetimes",!0),r(n,t,o,"⋏","\\curlywedge",!0),r(n,t,o,"⋎","\\curlyvee",!0),r(n,t,o,"⊝","\\circleddash",!0),r(n,t,o,"⊛","\\circledast",!0),r(n,t,o,"⋅","\\centerdot"),r(n,t,o,"⊺","\\intercal",!0),r(n,t,o,"⋒","\\doublecap"),r(n,t,o,"⋓","\\doublecup"),r(n,t,o,"⊠","\\boxtimes",!0),r(n,t,u,"⇢","\\dashrightarrow",!0),r(n,t,u,"⇠","\\dashleftarrow",!0),r(n,t,u,"⇇","\\leftleftarrows",!0),r(n,t,u,"⇆","\\leftrightarrows",!0),r(n,t,u,"⇚","\\Lleftarrow",!0),r(n,t,u,"↞","\\twoheadleftarrow",!0),r(n,t,u,"↢","\\leftarrowtail",!0),r(n,t,u,"↫","\\looparrowleft",!0),r(n,t,u,"⇋","\\leftrightharpoons",!0),r(n,t,u,"↶","\\curvearrowleft",!0),r(n,t,u,"↺","\\circlearrowleft",!0),r(n,t,u,"↰","\\Lsh",!0),r(n,t,u,"⇈","\\upuparrows",!0),r(n,t,u,"↿","\\upharpoonleft",!0),r(n,t,u,"⇃","\\downharpoonleft",!0),r(n,a,u,"⊶","\\origof",!0),r(n,a,u,"⊷","\\imageof",!0),r(n,t,u,"⊸","\\multimap",!0),r(n,t,u,"↭","\\leftrightsquigarrow",!0),r(n,t,u,"⇉","\\rightrightarrows",!0),r(n,t,u,"⇄","\\rightleftarrows",!0),r(n,t,u,"↠","\\twoheadrightarrow",!0),r(n,t,u,"↣","\\rightarrowtail",!0),r(n,t,u,"↬","\\looparrowright",!0),r(n,t,u,"↷","\\curvearrowright",!0),r(n,t,u,"↻","\\circlearrowright",!0),r(n,t,u,"↱","\\Rsh",!0),r(n,t,u,"⇊","\\downdownarrows",!0),r(n,t,u,"↾","\\upharpoonright",!0),r(n,t,u,"⇂","\\downharpoonright",!0),r(n,t,u,"⇝","\\rightsquigarrow",!0),r(n,t,u,"⇝","\\leadsto"),r(n,t,u,"⇛","\\Rrightarrow",!0),r(n,t,u,"↾","\\restriction"),r(n,a,f,"‘","`"),r(n,a,f,"$","\\$"),r(i,a,f,"$","\\$"),r(i,a,f,"$","\\textdollar"),r(n,a,f,"%","\\%"),r(i,a,f,"%","\\%"),r(n,a,f,"_","\\_"),r(i,a,f,"_","\\_"),r(i,a,f,"_","\\textunderscore"),r(n,a,f,"∠","\\angle",!0),r(n,a,f,"∞","\\infty",!0),r(n,a,f,"′","\\prime"),r(n,a,f,"△","\\triangle"),r(n,a,f,"Γ","\\Gamma",!0),r(n,a,f,"Δ","\\Delta",!0),r(n,a,f,"Θ","\\Theta",!0),r(n,a,f,"Λ","\\Lambda",!0),r(n,a,f,"Ξ","\\Xi",!0),r(n,a,f,"Π","\\Pi",!0),r(n,a,f,"Σ","\\Sigma",!0),r(n,a,f,"Υ","\\Upsilon",!0),r(n,a,f,"Φ","\\Phi",!0),r(n,a,f,"Ψ","\\Psi",!0),r(n,a,f,"Ω","\\Omega",!0),r(n,a,f,"A","Α"),r(n,a,f,"B","Β"),r(n,a,f,"E","Ε"),r(n,a,f,"Z","Ζ"),r(n,a,f,"H","Η"),r(n,a,f,"I","Ι"),r(n,a,f,"K","Κ"),r(n,a,f,"M","Μ"),r(n,a,f,"N","Ν"),r(n,a,f,"O","Ο"),r(n,a,f,"P","Ρ"),r(n,a,f,"T","Τ"),r(n,a,f,"X","Χ"),r(n,a,f,"¬","\\neg",!0),r(n,a,f,"¬","\\lnot"),r(n,a,f,"⊤","\\top"),r(n,a,f,"⊥","\\bot"),r(n,a,f,"∅","\\emptyset"),r(n,t,f,"∅","\\varnothing"),r(n,a,l,"α","\\alpha",!0),r(n,a,l,"β","\\beta",!0),r(n,a,l,"γ","\\gamma",!0),r(n,a,l,"δ","\\delta",!0),r(n,a,l,"ϵ","\\epsilon",!0),r(n,a,l,"ζ","\\zeta",!0),r(n,a,l,"η","\\eta",!0),r(n,a,l,"θ","\\theta",!0),r(n,a,l,"ι","\\iota",!0),r(n,a,l,"κ","\\kappa",!0),r(n,a,l,"λ","\\lambda",!0),r(n,a,l,"μ","\\mu",!0),r(n,a,l,"ν","\\nu",!0),r(n,a,l,"ξ","\\xi",!0),r(n,a,l,"ο","\\omicron",!0),r(n,a,l,"π","\\pi",!0),r(n,a,l,"ρ","\\rho",!0),r(n,a,l,"σ","\\sigma",!0),r(n,a,l,"τ","\\tau",!0),r(n,a,l,"υ","\\upsilon",!0),r(n,a,l,"ϕ","\\phi",!0),r(n,a,l,"χ","\\chi",!0),r(n,a,l,"ψ","\\psi",!0),r(n,a,l,"ω","\\omega",!0),r(n,a,l,"ε","\\varepsilon",!0),r(n,a,l,"ϑ","\\vartheta",!0),r(n,a,l,"ϖ","\\varpi",!0),r(n,a,l,"ϱ","\\varrho",!0),r(n,a,l,"ς","\\varsigma",!0),r(n,a,l,"φ","\\varphi",!0),r(n,a,o,"∗","*",!0),r(n,a,o,"+","+"),r(n,a,o,"−","-",!0),r(n,a,o,"⋅","\\cdot",!0),r(n,a,o,"∘","\\circ",!0),r(n,a,o,"÷","\\div",!0),r(n,a,o,"±","\\pm",!0),r(n,a,o,"×","\\times",!0),r(n,a,o,"∩","\\cap",!0),r(n,a,o,"∪","\\cup",!0),r(n,a,o,"∖","\\setminus",!0),r(n,a,o,"∧","\\land"),r(n,a,o,"∨","\\lor"),r(n,a,o,"∧","\\wedge",!0),r(n,a,o,"∨","\\vee",!0),r(n,a,f,"√","\\surd"),r(n,a,m,"⟨","\\langle",!0),r(n,a,m,"∣","\\lvert"),r(n,a,m,"∥","\\lVert"),r(n,a,s,"?","?"),r(n,a,s,"!","!"),r(n,a,s,"⟩","\\rangle",!0),r(n,a,s,"∣","\\rvert"),r(n,a,s,"∥","\\rVert"),r(n,a,u,"=","="),r(n,a,u,":",":"),r(n,a,u,"≈","\\approx",!0),r(n,a,u,"≅","\\cong",!0),r(n,a,u,"≥","\\ge"),r(n,a,u,"≥","\\geq",!0),r(n,a,u,"←","\\gets"),r(n,a,u,">","\\gt",!0),r(n,a,u,"∈","\\in",!0),r(n,a,u,"","\\@not"),r(n,a,u,"⊂","\\subset",!0),r(n,a,u,"⊃","\\supset",!0),r(n,a,u,"⊆","\\subseteq",!0),r(n,a,u,"⊇","\\supseteq",!0),r(n,t,u,"⊈","\\nsubseteq",!0),r(n,t,u,"⊉","\\nsupseteq",!0),r(n,a,u,"⊨","\\models"),r(n,a,u,"←","\\leftarrow",!0),r(n,a,u,"≤","\\le"),r(n,a,u,"≤","\\leq",!0),r(n,a,u,"<","\\lt",!0),r(n,a,u,"→","\\rightarrow",!0),r(n,a,u,"→","\\to"),r(n,t,u,"≱","\\ngeq",!0),r(n,t,u,"≰","\\nleq",!0),r(n,a,d," ","\\ "),r(n,a,d," ","\\space"),r(n,a,d," ","\\nobreakspace"),r(i,a,d," ","\\ "),r(i,a,d," "," "),r(i,a,d," ","\\space"),r(i,a,d," ","\\nobreakspace"),r(n,a,d,null,"\\nobreak"),r(n,a,d,null,"\\allowbreak"),r(n,a,c,",",","),r(n,a,c,";",";"),r(n,t,o,"⊼","\\barwedge",!0),r(n,t,o,"⊻","\\veebar",!0),r(n,a,o,"⊙","\\odot",!0),r(n,a,o,"⊕","\\oplus",!0),r(n,a,o,"⊗","\\otimes",!0),r(n,a,f,"∂","\\partial",!0),r(n,a,o,"⊘","\\oslash",!0),r(n,t,o,"⊚","\\circledcirc",!0),r(n,t,o,"⊡","\\boxdot",!0),r(n,a,o,"△","\\bigtriangleup"),r(n,a,o,"▽","\\bigtriangledown"),r(n,a,o,"†","\\dagger"),r(n,a,o,"⋄","\\diamond"),r(n,a,o,"⋆","\\star"),r(n,a,o,"◃","\\triangleleft"),r(n,a,o,"▹","\\triangleright"),r(n,a,m,"{","\\{"),r(i,a,f,"{","\\{"),r(i,a,f,"{","\\textbraceleft"),r(n,a,s,"}","\\}"),r(i,a,f,"}","\\}"),r(i,a,f,"}","\\textbraceright"),r(n,a,m,"{","\\lbrace"),r(n,a,s,"}","\\rbrace"),r(n,a,m,"[","\\lbrack",!0),r(i,a,f,"[","\\lbrack",!0),r(n,a,s,"]","\\rbrack",!0),r(i,a,f,"]","\\rbrack",!0),r(n,a,m,"(","\\lparen",!0),r(n,a,s,")","\\rparen",!0),r(i,a,f,"<","\\textless",!0),r(i,a,f,">","\\textgreater",!0),r(n,a,m,"⌊","\\lfloor",!0),r(n,a,s,"⌋","\\rfloor",!0),r(n,a,m,"⌈","\\lceil",!0),r(n,a,s,"⌉","\\rceil",!0),r(n,a,f,"\\","\\backslash"),r(n,a,f,"∣","|"),r(n,a,f,"∣","\\vert"),r(i,a,f,"|","\\textbar",!0),r(n,a,f,"∥","\\|"),r(n,a,f,"∥","\\Vert"),r(i,a,f,"∥","\\textbardbl"),r(i,a,f,"~","\\textasciitilde"),r(i,a,f,"\\","\\textbackslash"),r(i,a,f,"^","\\textasciicircum"),r(n,a,u,"↑","\\uparrow",!0),r(n,a,u,"⇑","\\Uparrow",!0),r(n,a,u,"↓","\\downarrow",!0),r(n,a,u,"⇓","\\Downarrow",!0),r(n,a,u,"↕","\\updownarrow",!0),r(n,a,u,"⇕","\\Updownarrow",!0),r(n,a,h,"∐","\\coprod"),r(n,a,h,"⋁","\\bigvee"),r(n,a,h,"⋀","\\bigwedge"),r(n,a,h,"⨄","\\biguplus"),r(n,a,h,"⋂","\\bigcap"),r(n,a,h,"⋃","\\bigcup"),r(n,a,h,"∫","\\int"),r(n,a,h,"∫","\\intop"),r(n,a,h,"∬","\\iint"),r(n,a,h,"∭","\\iiint"),r(n,a,h,"∏","\\prod"),r(n,a,h,"∑","\\sum"),r(n,a,h,"⨂","\\bigotimes"),r(n,a,h,"⨁","\\bigoplus"),r(n,a,h,"⨀","\\bigodot"),r(n,a,h,"∮","\\oint"),r(n,a,h,"∯","\\oiint"),r(n,a,h,"∰","\\oiiint"),r(n,a,h,"⨆","\\bigsqcup"),r(n,a,h,"∫","\\smallint"),r(i,a,Ve,"…","\\textellipsis"),r(n,a,Ve,"…","\\mathellipsis"),r(i,a,Ve,"…","\\ldots",!0),r(n,a,Ve,"…","\\ldots",!0),r(n,a,Ve,"⋯","\\@cdots",!0),r(n,a,Ve,"⋱","\\ddots",!0),r(n,a,f,"⋮","\\varvdots"),r(n,a,e,"ˊ","\\acute"),r(n,a,e,"ˋ","\\grave"),r(n,a,e,"¨","\\ddot"),r(n,a,e,"~","\\tilde"),r(n,a,e,"ˉ","\\bar"),r(n,a,e,"˘","\\breve"),r(n,a,e,"ˇ","\\check"),r(n,a,e,"^","\\hat"),r(n,a,e,"⃗","\\vec"),r(n,a,e,"˙","\\dot"),r(n,a,e,"˚","\\mathring"),r(n,a,l,"","\\@imath"),r(n,a,l,"","\\@jmath"),r(n,a,f,"ı","ı"),r(n,a,f,"ȷ","ȷ"),r(i,a,f,"ı","\\i",!0),r(i,a,f,"ȷ","\\j",!0),r(i,a,f,"ß","\\ss",!0),r(i,a,f,"æ","\\ae",!0),r(i,a,f,"œ","\\oe",!0),r(i,a,f,"ø","\\o",!0),r(i,a,f,"Æ","\\AE",!0),r(i,a,f,"Œ","\\OE",!0),r(i,a,f,"Ø","\\O",!0),r(i,a,e,"ˊ","\\'"),r(i,a,e,"ˋ","\\`"),r(i,a,e,"ˆ","\\^"),r(i,a,e,"˜","\\~"),r(i,a,e,"ˉ","\\="),r(i,a,e,"˘","\\u"),r(i,a,e,"˙","\\."),r(i,a,e,"¸","\\c"),r(i,a,e,"˚","\\r"),r(i,a,e,"ˇ","\\v"),r(i,a,e,"¨",'\\"'),r(i,a,e,"˝","\\H"),r(i,a,e,"◯","\\textcircled"),{"--":!0,"---":!0,"``":!0,"''":!0});r(i,a,f,"–","--",!0),r(i,a,f,"–","\\textendash"),r(i,a,f,"—","---",!0),r(i,a,f,"—","\\textemdash"),r(i,a,f,"‘","`",!0),r(i,a,f,"‘","\\textquoteleft"),r(i,a,f,"’","'",!0),r(i,a,f,"’","\\textquoteright"),r(i,a,f,"“","``",!0),r(i,a,f,"“","\\textquotedblleft"),r(i,a,f,"”","''",!0),r(i,a,f,"”","\\textquotedblright"),r(n,a,f,"°","\\degree",!0),r(i,a,f,"°","\\degree"),r(i,a,f,"°","\\textdegree",!0),r(n,a,f,"£","\\pounds"),r(n,a,f,"£","\\mathsterling",!0),r(i,a,f,"£","\\pounds"),r(i,a,f,"£","\\textsterling",!0),r(n,t,f,"✠","\\maltese"),r(i,t,f,"✠","\\maltese");for(var Ue='0123456789/@."',Ye=0;Yet&&(t=a.height),a.depth>r&&(r=a.depth),a.maxFontSize>n&&(n=a.maxFontSize)}e.height=t,e.depth=r,e.maxFontSize=n}function v(e,t,r,n){return e=new Se(e,t,r,n),it(e),e}function at(e,t,r,n){return new Se(e,t,r,n)}function ot(e){return e=new ie(e),it(e),e}function st(e,t,r){var n="";switch(e){case"amsrm":n="AMS";break;case"textrm":n="Main";break;case"textsf":n="SansSerif";break;case"texttt":n="Typewriter";break;default:n=e}return n+"-"+("textbf"===t&&"textit"===r?"BoldItalic":"textbf"===t?"Bold":"textit"===t?"Italic":"Regular")}var lt=[["mathbf","textbf","Main-Bold"],["mathbf","textbf","Main-Bold"],["mathnormal","textit","Math-Italic"],["mathnormal","textit","Math-Italic"],["boldsymbol","boldsymbol","Main-BoldItalic"],["boldsymbol","boldsymbol","Main-BoldItalic"],["mathscr","textscr","Script-Regular"],["","",""],["","",""],["","",""],["mathfrak","textfrak","Fraktur-Regular"],["mathfrak","textfrak","Fraktur-Regular"],["mathbb","textbb","AMS-Regular"],["mathbb","textbb","AMS-Regular"],["","",""],["","",""],["mathsf","textsf","SansSerif-Regular"],["mathsf","textsf","SansSerif-Regular"],["mathboldsf","textboldsf","SansSerif-Bold"],["mathboldsf","textboldsf","SansSerif-Bold"],["mathitsf","textitsf","SansSerif-Italic"],["mathitsf","textitsf","SansSerif-Italic"],["","",""],["","",""],["mathtt","texttt","Typewriter-Regular"],["mathtt","texttt","Typewriter-Regular"]],ht=[["mathbf","textbf","Main-Bold"],["","",""],["mathsf","textsf","SansSerif-Regular"],["mathboldsf","textboldsf","SansSerif-Bold"],["mathtt","texttt","Typewriter-Regular"]],mt={mathbf:{variant:"bold",fontName:"Main-Bold"},mathrm:{variant:"normal",fontName:"Main-Regular"},textit:{variant:"italic",fontName:"Main-Italic"},mathit:{variant:"italic",fontName:"Main-Italic"},mathnormal:{variant:"italic",fontName:"Math-Italic"},mathbb:{variant:"double-struck",fontName:"AMS-Regular"},mathcal:{variant:"script",fontName:"Caligraphic-Regular"},mathfrak:{variant:"fraktur",fontName:"Fraktur-Regular"},mathscr:{variant:"script",fontName:"Script-Regular"},mathsf:{variant:"sans-serif",fontName:"SansSerif-Regular"},mathtt:{variant:"monospace",fontName:"Typewriter-Regular"}},ct={vec:["vec",.471,.714],oiintSize1:["oiintSize1",.957,.499],oiintSize2:["oiintSize2",1.472,.659],oiiintSize1:["oiiintSize1",1.304,.499],oiiintSize2:["oiiintSize2",1.98,.659]},ee={fontMap:mt,makeSymbol:nt,mathsym:function(e,t,r,n){return void 0===n&&(n=[]),"boldsymbol"===r.font&&rt(e,"Main-Bold",t).metrics?nt(e,"Main-Bold",t,r,n.concat(["mathbf"])):"\\"===e||"main"===p[t][e].font?nt(e,"Main-Regular",t,r,n):nt(e,"AMS-Regular",t,r,n.concat(["amsrm"]))},makeSpan:v,makeSvgSpan:at,makeLineSpan:function(e,t,r){e=v([e],[],t);return e.height=Math.max(r||t.fontMetrics().defaultRuleThickness,t.minRuleThickness),e.style.borderBottomWidth=Q(e.height),e.maxFontSize=1,e},makeAnchor:function(e,t,r,n){e=new Me(e,t,r,n);return it(e),e},makeFragment:ot,wrapFragment:function(e,t){return e instanceof ie?v([],[e],t):e},makeVList:function(e,t){for(var e=function(e){if("individualShift"===e.positionType){for(var t=e.children,r=[t[0]],n=-t[0].shift-t[0].elem.depth,i=n,a=1;a"},m.toText=function(){return this.children.map(function(e){return e.toText()}).join("")};var Ht=Ft,Lt=((s=Pt.prototype).toNode=function(){return document.createTextNode(this.text)},s.toMarkup=function(){return Z.escape(this.toText())},s.toText=function(){return this.text},Pt),M={MathNode:Ht,TextNode:Lt,SpaceNode:((u=Dt.prototype).toNode=function(){if(this.character)return document.createTextNode(this.character);var e=document.createElementNS("http://www.w3.org/1998/Math/MathML","mspace");return e.setAttribute("width",Q(this.width)),e},u.toMarkup=function(){return this.character?""+this.character+"":''},u.toText=function(){return this.character||" "},Dt),newDocumentFragment:qt},z=function(e,t){if(!e)return new M.MathNode("mrow");if(gt[e.type])return gt[e.type](e,t);throw new $("Got group of unknown type: '"+e.type+"'")};function Dt(e){this.width=void 0,this.character=void 0,this.width=e,this.character=.05555<=e&&e<=.05556?" ":.1666<=e&&e<=.1667?" ":.2222<=e&&e<=.2223?" ":.2777<=e&&e<=.2778?"  ":-.05556<=e&&e<=-.05555?" ⁣":-.1667<=e&&e<=-.1666?" ⁣":-.2223<=e&&e<=-.2222?" ⁣":-.2778<=e&&e<=-.2777?" ⁣":null}function Pt(e){this.text=void 0,this.text=e}function Ft(e,t,r){this.type=void 0,this.attributes=void 0,this.children=void 0,this.classes=void 0,this.type=e,this.attributes={},this.children=t||[],this.classes=r||[]}function Vt(e,t,r,n,i){e=S(e,r),r=1===e.length&&e[0]instanceof Ht&&Z.contains(["mrow","mtable"],e[0].type)?e[0]:new M.MathNode("mrow",e),e=new M.MathNode("annotation",[new M.TextNode(t)]),e.setAttribute("encoding","application/x-tex"),t=new M.MathNode("semantics",[r,e]),r=new M.MathNode("math",[t]);return r.setAttribute("xmlns","http://www.w3.org/1998/Math/MathML"),n&&r.setAttribute("display","block"),ee.makeSpan([i?"katex":"katex-mathml"],[r])}function Gt(e){return(e=new M.MathNode("mo",[new M.TextNode(Wt[e.replace(/^\\/,"")])])).setAttribute("stretchy","true"),e}function Ut(f,g){var e=(r=function(){var e,t=4e5,r=f.label.substr(1);if(Z.contains(["widehat","widecheck","widetilde","utilde"],r))return a=5<(a="ordgroup"===(a=f.base).type?a.body.length:1)?"widehat"===r||"widecheck"===r?(s=420,t=2364,e=.42,r+"4"):(s=312,t=2340,e=.34,"tilde4"):(a=[1,1,2,2,3,3][a],"widehat"===r||"widecheck"===r?(t=[0,1062,2364,2364,2364][a],s=[0,239,300,360,420][a],e=[0,.24,.3,.3,.36,.42][a],r+a):(t=[0,600,1033,2339,2340][a],s=[0,260,286,306,312][a],e=[0,.26,.286,.3,.306,.34][a],"tilde"+a)),a=new Be(a),a=new Te([a],{width:"100%",height:Q(e),viewBox:"0 0 "+t+" "+s,preserveAspectRatio:"none"}),{span:ee.makeSvgSpan([],[a],g),minWidth:0,height:e};var n,i,a,o=[],s=jt[r],l=s[0],h=s[1],m=s[2],c=m/1e3,u=l.length;if(1===u)n=["hide-tail"],i=[s[3]];else if(2===u)n=["halfarrow-left","halfarrow-right"],i=["xMinYMin","xMaxYMin"];else{if(3!==u)throw new Error("Correct katexImagesData or update code here to support\n "+u+" children.");n=["brace-left","brace-center","brace-right"],i=["xMinYMin","xMidYMin","xMaxYMin"]}for(var p=0;p but got "+String(e)+".")}(re(e,t)),e.base=r):s=(r=A(e,"accent")).base;var r,n,e=re(s,t.havingCrampedStyle()),i=0;r.isShifty&&Z.isCharacterBox(s)&&(s=Z.getBaseElem(s),i=Le(re(s,t.havingCrampedStyle())).skew);var a,o,s="\\c"===r.label,l=s?e.height+e.depth:Math.min(e.height,t.fontMetrics().xHeight),h=r.isStretchy?(h=Ut(r,t),ee.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:e},{type:"elem",elem:h,wrapperClasses:["svg-align"],wrapperStyle:0":"\\\\cdrightarrow","<":"\\\\cdleftarrow","=":"\\\\cdlongequal",A:"\\uparrow",V:"\\downarrow","|":"\\Vert",".":"no arrow"});w({type:"cdlabel",names:["\\\\cdleft","\\\\cdright"],props:{numArgs:1},handler:function(e,t){var r=e.parser,e=e.funcName;return{type:"cdlabel",mode:r.mode,side:e.slice(4),label:t[0]}},htmlBuilder:function(e,t){var r=t.havingStyle(t.style.sup()),r=ee.wrapFragment(re(e.label,r,t),t);return r.classes.push("cd-label-"+e.side),r.style.bottom=Q(.8-r.depth),r.height=0,r.depth=0,r},mathmlBuilder:function(e,t){t=new M.MathNode("mrow",[z(e.label,t)]);return(t=new M.MathNode("mpadded",[t])).setAttribute("width","0"),"left"===e.side&&t.setAttribute("lspace","-1width"),t.setAttribute("voffset","0.7em"),(t=new M.MathNode("mstyle",[t])).setAttribute("displaystyle","false"),t.setAttribute("scriptlevel","1"),t}}),w({type:"cdlabelparent",names:["\\\\cdparent"],props:{numArgs:1},handler:function(e,t){return{type:"cdlabelparent",mode:e.parser.mode,fragment:t[0]}},htmlBuilder:function(e,t){e=ee.wrapFragment(re(e.fragment,t),t);return e.classes.push("cd-vert-arrow"),e},mathmlBuilder:function(e,t){return new M.MathNode("mrow",[z(e.fragment,t)])}}),w({type:"textord",names:["\\@char"],props:{numArgs:1,allowedInText:!0},handler:function(e,t){for(var e=e.parser,r=A(t[0],"ordgroup").body,n="",i=0;i>10),56320+(1023&t))),{type:"textord",mode:e.mode,text:t}}});function r0(e,t){return t=te(e.body,t.withColor(e.color),!1),ee.makeFragment(t)}function n0(e,t){return t=S(e.body,t.withColor(e.color)),(t=new M.MathNode("mstyle",t)).setAttribute("mathcolor",e.color),t}function i0(e){var t=e.text;if(/^(?:[\\{}$&#^_]|EOF)$/.test(t))throw new $("Expected a control sequence",e);return t}function a0(e,t,r,n){var i=e.gullet.macros.get(r.text);null==i&&(r.noexpand=!0,i={tokens:[r],numArgs:0,unexpandable:!e.gullet.isExpandable(r.text)}),e.gullet.macros.set(t,i,n)}function o0(e,t,r){if(r=he(p.math[e]&&p.math[e].replace||e,t,r))return r;throw new Error("Unsupported symbol "+e+" and font size "+t+".")}function s0(e,t,r,n){return t=r.havingBaseStyle(t),n=ee.makeSpan(n.concat(t.sizingClasses(r)),[e],r),e=t.sizeMultiplier/r.sizeMultiplier,n.height*=e,n.depth*=e,n.maxFontSize=t.sizeMultiplier,n}function l0(e,t,r){r=t.havingBaseStyle(r),r=(1-t.sizeMultiplier/r.sizeMultiplier)*t.fontMetrics().axisHeight,e.classes.push("delimcenter"),e.style.top=Q(r),e.height-=r,e.depth+=r}function h0(e,t,r,n,i,a){return e=ee.makeSymbol(e,"Size"+t+"-Regular",i,n),i=s0(ee.makeSpan(["delimsizing","size"+t],[e],n),K.TEXT,n,a),r&&l0(i,n,K.TEXT),i}function m0(e,t,r){return{type:"elem",elem:ee.makeSpan(["delimsizinginner","Size1-Regular"===t?"delim-size1":"delim-size4"],[ee.makeSpan([],[ee.makeSymbol(e,t,r)])])}}function c0(e,t,r){var n=(ae["Size4-Regular"][e.charCodeAt(0)]?ae["Size4-Regular"]:ae["Size1-Regular"])[e.charCodeAt(0)][4],e=new Be("inner",function(e,t){switch(e){case"⎜":return"M291 0 H417 V"+t+" H291z M291 0 H417 V"+t+" H291z";case"∣":return"M145 0 H188 V"+t+" H145z M145 0 H188 V"+t+" H145z";case"∥":return"M145 0 H188 V"+t+" H145z M145 0 H188 V"+t+" H145zM367 0 H410 V"+t+" H367z M367 0 H410 V"+t+" H367z";case"⎟":return"M457 0 H583 V"+t+" H457z M457 0 H583 V"+t+" H457z";case"⎢":return"M319 0 H403 V"+t+" H319z M319 0 H403 V"+t+" H319z";case"⎥":return"M263 0 H347 V"+t+" H263z M263 0 H347 V"+t+" H263z";case"⎪":return"M384 0 H504 V"+t+" H384z M384 0 H504 V"+t+" H384z";case"⏐":return"M312 0 H355 V"+t+" H312z M312 0 H355 V"+t+" H312z";case"‖":return"M257 0 H300 V"+t+" H257z M257 0 H300 V"+t+" H257zM478 0 H521 V"+t+" H478z M478 0 H521 V"+t+" H478z";default:return""}}(e,Math.round(1e3*t))),e=new Te([e],{width:Q(n),height:Q(t),style:"width:"+Q(n),viewBox:"0 0 "+1e3*n+" "+Math.round(1e3*t),preserveAspectRatio:"xMinYMin"});return(e=ee.makeSvgSpan([],[e],r)).height=t,e.style.height=Q(t),e.style.width=Q(n),{type:"elem",elem:e}}function u0(e,t,r,n,i,a){var o,s=o=f=e,l=null,h="Size1-Regular";"\\uparrow"===e?o=f="⏐":"\\Uparrow"===e?o=f="‖":"\\downarrow"===e?s=o="⏐":"\\Downarrow"===e?s=o="‖":"\\updownarrow"===e?(s="\\uparrow",o="⏐",f="\\downarrow"):"\\Updownarrow"===e?(s="\\Uparrow",o="‖",f="\\Downarrow"):Z.contains(b0,e)?o="∣":Z.contains(x0,e)?o="∥":"["===e||"\\lbrack"===e?(s="⎡",o="⎢",f="⎣",h="Size4-Regular"):"]"===e||"\\rbrack"===e?(s="⎤",o="⎥",f="⎦",h="Size4-Regular"):"\\lfloor"===e||"⌊"===e?(o=s="⎢",f="⎣",h="Size4-Regular"):"\\lceil"===e||"⌈"===e?(s="⎡",o=f="⎢",h="Size4-Regular"):"\\rfloor"===e||"⌋"===e?(o=s="⎥",f="⎦",h="Size4-Regular"):"\\rceil"===e||"⌉"===e?(s="⎤",o=f="⎥",h="Size4-Regular"):"("===e||"\\lparen"===e?(s="⎛",o="⎜",f="⎝",h="Size4-Regular"):")"===e||"\\rparen"===e?(s="⎞",o="⎟",f="⎠",h="Size4-Regular"):"\\{"===e||"\\lbrace"===e?(s="⎧",l="⎨",f="⎩",o="⎪",h="Size4-Regular"):"\\}"===e||"\\rbrace"===e?(s="⎫",l="⎬",f="⎭",o="⎪",h="Size4-Regular"):"\\lgroup"===e||"⟮"===e?(s="⎧",f="⎩",o="⎪",h="Size4-Regular"):"\\rgroup"===e||"⟯"===e?(s="⎫",f="⎭",o="⎪",h="Size4-Regular"):"\\lmoustache"===e||"⎰"===e?(s="⎧",f="⎭",o="⎪",h="Size4-Regular"):"\\rmoustache"!==e&&"⎱"!==e||(s="⎫",f="⎩",o="⎪",h="Size4-Regular");var e=(e=o0(s,h,i)).height+e.depth,m=(m=o0(o,h,i)).height+m.depth,c=(c=o0(f,h,i)).height+c.depth,u=0,p=1;null!==l&&(u=(d=o0(l,h,i)).height+d.depth,p=2);var t=(d=e+c+u)+Math.max(0,Math.ceil((t-d)/(p*m)))*p*m,d=n.fontMetrics().axisHeight,p=(r&&(d*=n.sizeMultiplier),t/2-d),d=((m=[]).push(m0(f,h,i)),m.push(y0),null===l?m.push(c0(o,t-e-c+.016,n)):(m.push(c0(o,r=(t-e-c-u)/2+.016,n)),m.push(y0),m.push(m0(l,h,i)),m.push(y0),m.push(c0(o,r,n))),m.push(y0),m.push(m0(s,h,i)),n.havingBaseStyle(K.TEXT)),f=ee.makeVList({positionType:"bottom",positionData:p,children:m},d);return s0(ee.makeSpan(["delimsizing","mult"],[f],d),K.TEXT,n,a)}function p0(n,e,t,r,i){return r=function(e,t){e*=1e3;var r="";switch(n){case"sqrtMain":r="M95,"+(622+e+80)+"\nc-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14\nc0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54\nc44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10\ns173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429\nc69,-144,104.5,-217.7,106.5,-221\nl"+e/2.075+" -"+e+"\nc5.3,-9.3,12,-14,20,-14\nH400000v"+(40+e)+"H845.2724\ns-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7\nc-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z\nM"+(834+e)+" 80h400000v"+(40+e)+"h-400000z";break;case"sqrtSize1":r="M263,"+(601+e+80)+"c0.7,0,18,39.7,52,119\nc34,79.3,68.167,158.7,102.5,238c34.3,79.3,51.8,119.3,52.5,120\nc340,-704.7,510.7,-1060.3,512,-1067\nl"+e/2.084+" -"+e+"\nc4.7,-7.3,11,-11,19,-11\nH40000v"+(40+e)+"H1012.3\ns-271.3,567,-271.3,567c-38.7,80.7,-84,175,-136,283c-52,108,-89.167,185.3,-111.5,232\nc-22.3,46.7,-33.8,70.3,-34.5,71c-4.7,4.7,-12.3,7,-23,7s-12,-1,-12,-1\ns-109,-253,-109,-253c-72.7,-168,-109.3,-252,-110,-252c-10.7,8,-22,16.7,-34,26\nc-22,17.3,-33.3,26,-34,26s-26,-26,-26,-26s76,-59,76,-59s76,-60,76,-60z\nM"+(1001+e)+" 80h400000v"+(40+e)+"h-400000z";break;case"sqrtSize2":r="M983 "+(10+e+80)+"\nl"+e/3.13+" -"+e+"\nc4,-6.7,10,-10,18,-10 H400000v"+(40+e)+"\nH1013.1s-83.4,268,-264.1,840c-180.7,572,-277,876.3,-289,913c-4.7,4.7,-12.7,7,-24,7\ns-12,0,-12,0c-1.3,-3.3,-3.7,-11.7,-7,-25c-35.3,-125.3,-106.7,-373.3,-214,-744\nc-10,12,-21,25,-33,39s-32,39,-32,39c-6,-5.3,-15,-14,-27,-26s25,-30,25,-30\nc26.7,-32.7,52,-63,76,-91s52,-60,52,-60s208,722,208,722\nc56,-175.3,126.3,-397.3,211,-666c84.7,-268.7,153.8,-488.2,207.5,-658.5\nc53.7,-170.3,84.5,-266.8,92.5,-289.5z\nM"+(1001+e)+" 80h400000v"+(40+e)+"h-400000z";break;case"sqrtSize3":r="M424,"+(2398+e+80)+"\nc-1.3,-0.7,-38.5,-172,-111.5,-514c-73,-342,-109.8,-513.3,-110.5,-514\nc0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5,25c-5.7,9.3,-9.8,16,-12.5,20\ns-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13,-13s76,-122,76,-122s77,-121,77,-121\ns209,968,209,968c0,-2,84.7,-361.7,254,-1079c169.3,-717.3,254.7,-1077.7,256,-1081\nl"+e/4.223+" -"+e+"c4,-6.7,10,-10,18,-10 H400000\nv"+(40+e)+"H1014.6\ns-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185\nc-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2z M"+(1001+e)+" 80\nh400000v"+(40+e)+"h-400000z";break;case"sqrtSize4":r="M473,"+(2713+e+80)+"\nc339.3,-1799.3,509.3,-2700,510,-2702 l"+e/5.298+" -"+e+"\nc3.3,-7.3,9.3,-11,18,-11 H400000v"+(40+e)+"H1017.7\ns-90.5,478,-276.2,1466c-185.7,988,-279.5,1483,-281.5,1485c-2,6,-10,9,-24,9\nc-8,0,-12,-0.7,-12,-2c0,-1.3,-5.3,-32,-16,-92c-50.7,-293.3,-119.7,-693.3,-207,-1200\nc0,-1.3,-5.3,8.7,-16,30c-10.7,21.3,-21.3,42.7,-32,64s-16,33,-16,33s-26,-26,-26,-26\ns76,-153,76,-153s77,-151,77,-151c0.7,0.7,35.7,202,105,604c67.3,400.7,102,602.7,104,\n606zM"+(1001+e)+" 80h400000v"+(40+e)+"H1017.7z";break;case"sqrtTall":r="M702 "+(80+e)+"H400000"+(40+e)+"\nH742v"+(t-54-80-e)+"l-4 4-4 4c-.667.7 -2 1.5-4 2.5s-4.167 1.833-6.5 2.5-5.5 1-9.5 1\nh-12l-28-84c-16.667-52-96.667 -294.333-240-727l-212 -643 -85 170\nc-4-3.333-8.333-7.667-13 -13l-13-13l77-155 77-156c66 199.333 139 419.667\n219 661 l218 661zM702 80H400000v"+(40+e)+"H742z"}return r}(r,t),r=new Be(n,r),r=new Te([r],{width:"400em",height:Q(e),viewBox:"0 0 400000 "+t,preserveAspectRatio:"xMinYMin slice"}),ee.makeSvgSpan(["hide-tail"],[r],i)}function d0(e,t,r,n){for(var i=Math.min(2,3-n.style.size);i"!==e&&"\\gt"!==e&&"⟩"!==e||(e="\\rangle"),c=Z.contains(k0,e)?M0:Z.contains(v0,e)?A0:z0;var o,s,l,h,m,c=d0(e,t,c,n);return"small"===c.type?(o=e,s=c.style,l=r,h=n,m=a,o=ee.makeSymbol(o,"Main-Regular",i,h),o=s0(o,s,h,m),l&&l0(o,h,s),o):"large"===c.type?h0(e,c.size,r,n,i,a):u0(e,t,r,n,i,a)}w({type:"color",names:["\\textcolor"],props:{numArgs:2,allowedInText:!0,argTypes:["color","original"]},handler:function(e,t){var e=e.parser,r=A(t[0],"color-token").color,t=t[1];return{type:"color",mode:e.mode,color:r,body:k(t)}},htmlBuilder:r0,mathmlBuilder:n0}),w({type:"color",names:["\\color"],props:{numArgs:1,allowedInText:!0,argTypes:["color"]},handler:function(e,t){var r=e.parser,e=e.breakOnTokenText,t=A(t[0],"color-token").color,e=(r.gullet.macros.set("\\current@color",t),r.parseExpression(!0,e));return{type:"color",mode:r.mode,color:t,body:e}},htmlBuilder:r0,mathmlBuilder:n0}),w({type:"cr",names:["\\\\"],props:{numArgs:0,numOptionalArgs:1,argTypes:["size"],allowedInText:!0},handler:function(e,t,r){var e=e.parser,r=r[0],n=!e.settings.displayMode||!e.settings.useStrictBehavior("newLineInDisplayMode","In LaTeX, \\\\ or \\newline does nothing in display mode");return{type:"cr",mode:e.mode,newLine:n,size:r&&A(r,"size").value}},htmlBuilder:function(e,t){var r=ee.makeSpan(["mspace"],[],t);return e.newLine&&(r.classes.push("newline"),e.size&&(r.style.marginTop=Q(J(e.size,t)))),r},mathmlBuilder:function(e,t){var r=new M.MathNode("mspace");return e.newLine&&(r.setAttribute("linebreak","newline"),e.size&&r.setAttribute("height",Q(J(e.size,t)))),r}});var g0={"\\global":"\\global","\\long":"\\\\globallong","\\\\globallong":"\\\\globallong","\\def":"\\gdef","\\gdef":"\\gdef","\\edef":"\\xdef","\\xdef":"\\xdef","\\let":"\\\\globallet","\\futurelet":"\\\\globalfuture"},y0=(w({type:"internal",names:["\\global","\\long","\\\\globallong"],props:{numArgs:0,allowedInText:!0},handler:function(e){var t=e.parser,e=e.funcName,r=(t.consumeSpaces(),t.fetch());if(g0[r.text])return"\\global"!==e&&"\\\\globallong"!==e||(r.text=g0[r.text]),A(t.parseFunction(),"internal");throw new $("Invalid token after macro prefix",r)}}),w({type:"internal",names:["\\def","\\gdef","\\edef","\\xdef"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,e=e.funcName,r=t.gullet.popToken(),n=r.text;if(/^(?:[\\{}$&#^_]|EOF)$/.test(n))throw new $("Expected a control sequence",r);for(var i,a=0,o=[[]];"{"!==t.gullet.future().text;)if("#"===(r=t.gullet.popToken()).text){if("{"===t.gullet.future().text){i=t.gullet.future(),o[a].push("{");break}if(r=t.gullet.popToken(),!/^[1-9]$/.test(r.text))throw new $('Invalid argument number "'+r.text+'"');if(parseInt(r.text)!==a+1)throw new $('Argument number "'+r.text+'" out of order');a++,o.push([])}else{if("EOF"===r.text)throw new $("Expected a macro definition");o[a].push(r.text)}var s=t.gullet.consumeArg().tokens;return i&&s.unshift(i),"\\edef"!==e&&"\\xdef"!==e||(s=t.gullet.expandTokens(s)).reverse(),t.gullet.macros.set(n,{tokens:s,numArgs:a,delimiters:o},e===g0[e]),{type:"internal",mode:t.mode}}}),w({type:"internal",names:["\\let","\\\\globallet"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t,r,n=e.parser,e=e.funcName,i=i0(n.gullet.popToken());n.gullet.consumeSpaces(),r="="===(r=(t=n).gullet.popToken()).text&&" "===(r=t.gullet.popToken()).text?t.gullet.popToken():r;return a0(n,i,r,"\\\\globallet"===e),{type:"internal",mode:n.mode}}}),w({type:"internal",names:["\\futurelet","\\\\globalfuture"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e){var t=e.parser,e=e.funcName,r=i0(t.gullet.popToken()),n=t.gullet.popToken(),i=t.gullet.popToken();return a0(t,r,i,"\\\\globalfuture"===e),t.gullet.pushToken(i),t.gullet.pushToken(n),{type:"internal",mode:t.mode}}}),{type:"kern",size:-.008}),b0=["|","\\lvert","\\rvert","\\vert"],x0=["\\|","\\lVert","\\rVert","\\Vert"],v0=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","⌊","⌋","\\lceil","\\rceil","⌈","⌉","\\surd"],w0=["\\uparrow","\\downarrow","\\updownarrow","\\Uparrow","\\Downarrow","\\Updownarrow","|","\\|","\\vert","\\Vert","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","⟮","⟯","\\lmoustache","\\rmoustache","⎰","⎱"],k0=["<",">","\\langle","\\rangle","/","\\backslash","\\lt","\\gt"],S0=[0,1.2,1.8,2.4,3],M0=[{type:"small",style:K.SCRIPTSCRIPT},{type:"small",style:K.SCRIPT},{type:"small",style:K.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4}],z0=[{type:"small",style:K.SCRIPTSCRIPT},{type:"small",style:K.SCRIPT},{type:"small",style:K.TEXT},{type:"stack"}],A0=[{type:"small",style:K.SCRIPTSCRIPT},{type:"small",style:K.SCRIPT},{type:"small",style:K.TEXT},{type:"large",size:1},{type:"large",size:2},{type:"large",size:3},{type:"large",size:4},{type:"stack"}],T0={sqrtImage:function(e,t){var r,n=t.havingBaseSizing(),i=d0("\\surd",e*n.sizeMultiplier,A0,n),n=n.sizeMultiplier,a=Math.max(0,t.minRuleThickness-t.fontMetrics().sqrtRuleThickness),o=0,s=0,l=0,i="small"===i.type?(e<1?n=1:e<1.4&&(n=.7),s=(1+a)/n,(r=p0("sqrtMain",o=(1+a+.08)/n,l=1e3+1e3*a+80,a,t)).style.minWidth="0.853em",.833/n):"large"===i.type?(l=1080*S0[i.size],s=(S0[i.size]+a)/n,o=(S0[i.size]+a+.08)/n,(r=p0("sqrtSize"+i.size,o,l,a,t)).style.minWidth="1.02em",1/n):(o=e+a+.08,s=e+a,l=Math.floor(1e3*e+a)+80,(r=p0("sqrtTall",o,l,a,t)).style.minWidth="0.742em",1.056);return r.height=s,r.style.height=Q(o),{span:r,advanceWidth:i,ruleWidth:(t.fontMetrics().sqrtRuleThickness+a)*n}},sizedDelim:function(e,t,r,n,i){if("<"===e||"\\lt"===e||"⟨"===e?e="\\langle":">"!==e&&"\\gt"!==e&&"⟩"!==e||(e="\\rangle"),Z.contains(v0,e)||Z.contains(k0,e))return h0(e,t,!1,r,n,i);if(Z.contains(w0,e))return u0(e,S0[t],!1,r,n,i);throw new $("Illegal delimiter: '"+e+"'")},sizeToMaxHeight:S0,customSizedDelim:f0,leftRightDelim:function(e,t,r,n,i,a){var o=n.fontMetrics().axisHeight*n.sizeMultiplier,s=5/n.fontMetrics().ptPerEm,t=Math.max(t-o,r+o),r=Math.max(t/500*901,2*t-s);return f0(e,r,!0,n,i,a)}},B0={"\\bigl":{mclass:"mopen",size:1},"\\Bigl":{mclass:"mopen",size:2},"\\biggl":{mclass:"mopen",size:3},"\\Biggl":{mclass:"mopen",size:4},"\\bigr":{mclass:"mclose",size:1},"\\Bigr":{mclass:"mclose",size:2},"\\biggr":{mclass:"mclose",size:3},"\\Biggr":{mclass:"mclose",size:4},"\\bigm":{mclass:"mrel",size:1},"\\Bigm":{mclass:"mrel",size:2},"\\biggm":{mclass:"mrel",size:3},"\\Biggm":{mclass:"mrel",size:4},"\\big":{mclass:"mord",size:1},"\\Big":{mclass:"mord",size:2},"\\bigg":{mclass:"mord",size:3},"\\Bigg":{mclass:"mord",size:4}},C0=["(","\\lparen",")","\\rparen","[","\\lbrack","]","\\rbrack","\\{","\\lbrace","\\}","\\rbrace","\\lfloor","\\rfloor","⌊","⌋","\\lceil","\\rceil","⌈","⌉","<",">","\\langle","⟨","\\rangle","⟩","\\lt","\\gt","\\lvert","\\rvert","\\lVert","\\rVert","\\lgroup","\\rgroup","⟮","⟯","\\lmoustache","\\rmoustache","⎰","⎱","/","\\backslash","|","\\vert","\\|","\\Vert","\\uparrow","\\Uparrow","\\downarrow","\\Downarrow","\\updownarrow","\\Updownarrow","."];function N0(e,t){var r=$t(e);if(r&&Z.contains(C0,r.text))return r;throw new $(r?"Invalid delimiter '"+r.text+"' after '"+t.funcName+"'":"Invalid delimiter type '"+e.type+"'",e)}function q0(e){if(!e.body)throw new Error("Bug: The leftright ParseNode wasn't fully parsed.")}w({type:"delimsizing",names:["\\bigl","\\Bigl","\\biggl","\\Biggl","\\bigr","\\Bigr","\\biggr","\\Biggr","\\bigm","\\Bigm","\\biggm","\\Biggm","\\big","\\Big","\\bigg","\\Bigg"],props:{numArgs:1,argTypes:["primitive"]},handler:function(e,t){t=N0(t[0],e);return{type:"delimsizing",mode:e.parser.mode,size:B0[e.funcName].size,mclass:B0[e.funcName].mclass,delim:t.text}},htmlBuilder:function(e,t){return"."===e.delim?ee.makeSpan([e.mclass]):T0.sizedDelim(e.delim,e.size,t,e.mode,[e.mclass])},mathmlBuilder:function(e){var t=[],t=("."!==e.delim&&t.push(It(e.delim,e.mode)),new M.MathNode("mo",t)),e=("mopen"===e.mclass||"mclose"===e.mclass?t.setAttribute("fence","true"):t.setAttribute("fence","false"),t.setAttribute("stretchy","true"),Q(T0.sizeToMaxHeight[e.size]));return t.setAttribute("minsize",e),t.setAttribute("maxsize",e),t}}),w({type:"leftright-right",names:["\\right"],props:{numArgs:1,primitive:!0},handler:function(e,t){var r=e.parser.gullet.macros.get("\\current@color");if(r&&"string"!=typeof r)throw new $("\\current@color set to non-string in \\right");return{type:"leftright-right",mode:e.parser.mode,delim:N0(t[0],e).text,color:r}}}),w({type:"leftright",names:["\\left"],props:{numArgs:1,primitive:!0},handler:function(e,t){var t=N0(t[0],e),e=e.parser,r=(++e.leftrightDepth,e.parseExpression(!1)),n=(--e.leftrightDepth,e.expect("\\right",!1),A(e.parseFunction(),"leftright-right"));return{type:"leftright",mode:e.mode,body:r,left:t.text,right:n.delim,rightColor:n.color}},htmlBuilder:function(e,t){q0(e);for(var r,n=te(e.body,t,!0,["mopen","mclose"]),i=0,a=0,o=!1,s=0;sAV".indexOf(c)))throw new $('Expected one of "<>AV=|." after @',l[m]);for(var p=0;p<2;p++){for(var d=!0,f=m+1;f=K.SCRIPT.id?t.text():K.DISPLAY:"text"===e&&t.size===K.DISPLAY.size?t=K.TEXT:"script"===e?t=K.SCRIPT:"scriptscript"===e&&(t=K.SCRIPTSCRIPT),t}function ir(e,t){var r=nr(e.size,t.style),n=r.fracNum(),i=r.fracDen(),n=t.havingStyle(n),a=re(e.numer,n,t);e.continued&&(m=8.5/t.fontMetrics().ptPerEm,c=3.5/t.fontMetrics().ptPerEm,a.height=a.heightr.height+r.depth+i&&(i=(i+s-r.height-r.depth)/2),a.height-r.height-i-o),i=(r.style.paddingLeft=Q(n),ee.makeVList({positionType:"firstBaseline",children:[{type:"elem",elem:r,wrapperClasses:["svg-align"]},{type:"kern",size:-(r.height+s)},{type:"elem",elem:a},{type:"kern",size:o}]},t));return e.index?(n=t.havingStyle(K.SCRIPTSCRIPT),r=re(e.index,n,t),s=.6*(i.height-i.depth),a=ee.makeVList({positionType:"shift",positionData:-s,children:[{type:"elem",elem:r}]},t),o=ee.makeSpan(["root"],[a]),ee.makeSpan(["mord","sqrt"],[o,i],t)):ee.makeSpan(["mord","sqrt"],[i],t)},mathmlBuilder:function(e,t){var r=e.body,e=e.index;return e?new M.MathNode("mroot",[z(r,t),z(e,t)]):new M.MathNode("msqrt",[z(r,t)])}}),{display:K.DISPLAY,text:K.TEXT,script:K.SCRIPT,scriptscript:K.SCRIPTSCRIPT}),Mr=(w({type:"styling",names:["\\displaystyle","\\textstyle","\\scriptstyle","\\scriptscriptstyle"],props:{numArgs:0,allowedInText:!0,primitive:!0},handler:function(e,t){var r=e.breakOnTokenText,n=e.funcName,e=e.parser,r=e.parseExpression(!0,r),n=n.slice(1,n.length-5);return{type:"styling",mode:e.mode,style:n,body:r}},htmlBuilder:function(e,t){var r=Sr[e.style],r=t.havingStyle(r).withFont("");return xr(e.body,r,t)},mathmlBuilder:function(e,t){var r=Sr[e.style],t=t.havingStyle(r),r=S(e.body,t),t=new M.MathNode("mstyle",r),r={display:["0","true"],text:["0","false"],script:["1","false"],scriptscript:["2","false"]}[e.style];return t.setAttribute("scriptlevel",r[0]),t.setAttribute("displaystyle",r[1]),t}}),yt({type:"supsub",htmlBuilder:function(e,t){r=t;var r=(o=(a=e).base)?"op"===o.type?o.limits&&(r.style.size===K.DISPLAY.size||o.alwaysHandleSupSub)?cr:null:"operatorname"===o.type?o.alwaysHandleSupSub&&(r.style.size===K.DISPLAY.size||o.limits)?pr:null:"accent"===o.type?Z.isCharacterBox(o.base)?Zt:null:"horizBrace"===o.type&&!a.sub===o.isOver?sr:null:null;if(r)return r(e,t);var n,i,a=e.base,o=e.sup,r=e.sub,s=re(a,t),l=t.fontMetrics(),h=0,m=0,a=a&&Z.isCharacterBox(a),c=(o&&(c=t.havingStyle(t.style.sup()),n=re(o,c,t),a||(h=s.height-c.fontMetrics().supDrop*c.sizeMultiplier/t.sizeMultiplier)),r&&(o=t.havingStyle(t.style.sub()),i=re(r,o,t),a||(m=s.depth+o.fontMetrics().subDrop*o.sizeMultiplier/t.sizeMultiplier)),t.style===K.DISPLAY?l.sup1:t.style.cramped?l.sup3:l.sup2),r=t.sizeMultiplier,a=Q(.5/l.ptPerEm/r),o=null;if(i&&(r=e.base&&"op"===e.base.type&&e.base.name&&("\\oiint"===e.base.name||"\\oiiint"===e.base.name),(s instanceof b||r)&&(o=Q(-s.italic))),n&&i){h=Math.max(h,c,n.depth+.25*l.xHeight),m=Math.max(m,l.sub2);e=4*l.defaultRuleThickness;h-n.depth-(i.height-m)":"\\dotsb","-":"\\dotsb","*":"\\dotsb",":":"\\dotsb","\\DOTSB":"\\dotsb","\\coprod":"\\dotsb","\\bigvee":"\\dotsb","\\bigwedge":"\\dotsb","\\biguplus":"\\dotsb","\\bigcap":"\\dotsb","\\bigcup":"\\dotsb","\\prod":"\\dotsb","\\sum":"\\dotsb","\\bigotimes":"\\dotsb","\\bigoplus":"\\dotsb","\\bigodot":"\\dotsb","\\bigsqcup":"\\dotsb","\\And":"\\dotsb","\\longrightarrow":"\\dotsb","\\Longrightarrow":"\\dotsb","\\longleftarrow":"\\dotsb","\\Longleftarrow":"\\dotsb","\\longleftrightarrow":"\\dotsb","\\Longleftrightarrow":"\\dotsb","\\mapsto":"\\dotsb","\\longmapsto":"\\dotsb","\\hookrightarrow":"\\dotsb","\\doteq":"\\dotsb","\\mathbin":"\\dotsb","\\mathrel":"\\dotsb","\\relbar":"\\dotsb","\\Relbar":"\\dotsb","\\xrightarrow":"\\dotsb","\\xleftarrow":"\\dotsb","\\DOTSI":"\\dotsi","\\int":"\\dotsi","\\oint":"\\dotsi","\\iint":"\\dotsi","\\iiint":"\\dotsi","\\iiiint":"\\dotsi","\\idotsint":"\\dotsi","\\DOTSX":"\\dotsx"}),Gr=(T("\\dots",function(e){var t="\\dotso",e=e.expandAfterFuture().text;return e in Vr?t=Vr[e]:("\\not"===e.substr(0,4)||e in p.math&&Z.contains(["bin","rel"],p.math[e].group))&&(t="\\dotsb"),t}),{")":!0,"]":!0,"\\rbrack":!0,"\\}":!0,"\\rbrace":!0,"\\rangle":!0,"\\rceil":!0,"\\rfloor":!0,"\\rgroup":!0,"\\rmoustache":!0,"\\right":!0,"\\bigr":!0,"\\biggr":!0,"\\Bigr":!0,"\\Biggr":!0,$:!0,";":!0,".":!0,",":!0}),e=(T("\\dotso",function(e){return e.future().text in Gr?"\\ldots\\,":"\\ldots"}),T("\\dotsc",function(e){e=e.future().text;return e in Gr&&","!==e?"\\ldots\\,":"\\ldots"}),T("\\cdots",function(e){return e.future().text in Gr?"\\@cdots\\,":"\\@cdots"}),T("\\dotsb","\\cdots"),T("\\dotsm","\\cdots"),T("\\dotsi","\\!\\cdots"),T("\\dotsx","\\ldots\\,"),T("\\DOTSI","\\relax"),T("\\DOTSB","\\relax"),T("\\DOTSX","\\relax"),T("\\tmspace","\\TextOrMath{\\kern#1#3}{\\mskip#1#2}\\relax"),T("\\,","\\tmspace+{3mu}{.1667em}"),T("\\thinspace","\\,"),T("\\>","\\mskip{4mu}"),T("\\:","\\tmspace+{4mu}{.2222em}"),T("\\medspace","\\:"),T("\\;","\\tmspace+{5mu}{.2777em}"),T("\\thickspace","\\;"),T("\\!","\\tmspace-{3mu}{.1667em}"),T("\\negthinspace","\\!"),T("\\negmedspace","\\tmspace-{4mu}{.2222em}"),T("\\negthickspace","\\tmspace-{5mu}{.277em}"),T("\\enspace","\\kern.5em "),T("\\enskip","\\hskip.5em\\relax"),T("\\quad","\\hskip1em\\relax"),T("\\qquad","\\hskip2em\\relax"),T("\\tag","\\@ifstar\\tag@literal\\tag@paren"),T("\\tag@paren","\\tag@literal{({#1})}"),T("\\tag@literal",function(e){if(e.macros.get("\\df@tag"))throw new $("Multiple \\tag");return"\\gdef\\df@tag{\\text{#1}}"}),T("\\bmod","\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}\\mathbin{\\rm mod}\\mathchoice{\\mskip1mu}{\\mskip1mu}{\\mskip5mu}{\\mskip5mu}"),T("\\pod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern8mu}{\\mkern8mu}{\\mkern8mu}(#1)"),T("\\pmod","\\pod{{\\rm mod}\\mkern6mu#1}"),T("\\mod","\\allowbreak\\mathchoice{\\mkern18mu}{\\mkern12mu}{\\mkern12mu}{\\mkern12mu}{\\rm mod}\\,\\,#1"),T("\\pmb","\\html@mathml{\\@binrel{#1}{\\mathrlap{#1}\\kern0.5px#1}}{\\mathbf{#1}}"),T("\\newline","\\\\\\relax"),T("\\TeX","\\textrm{\\html@mathml{T\\kern-.1667em\\raisebox{-.5ex}{E}\\kern-.125emX}{TeX}}"),Q(ae["Main-Regular"]["T".charCodeAt(0)][1]-.7*ae["Main-Regular"]["A".charCodeAt(0)][1])),Ur=(T("\\LaTeX","\\textrm{\\html@mathml{L\\kern-.36em\\raisebox{"+e+"}{\\scriptstyle A}\\kern-.15em\\TeX}{LaTeX}}"),T("\\KaTeX","\\textrm{\\html@mathml{K\\kern-.17em\\raisebox{"+e+"}{\\scriptstyle A}\\kern-.15em\\TeX}{KaTeX}}"),T("\\hspace","\\@ifstar\\@hspacer\\@hspace"),T("\\@hspace","\\hskip #1\\relax"),T("\\@hspacer","\\rule{0pt}{0pt}\\hskip #1\\relax"),T("\\ordinarycolon",":"),T("\\vcentcolon","\\mathrel{\\mathop\\ordinarycolon}"),T("\\dblcolon",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-.9mu}\\vcentcolon}}{\\mathop{\\char"2237}}'),T("\\coloneqq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2254}}'),T("\\Coloneqq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}=}}{\\mathop{\\char"2237\\char"3d}}'),T("\\coloneq",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"3a\\char"2212}}'),T("\\Coloneq",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\mathrel{-}}}{\\mathop{\\char"2237\\char"2212}}'),T("\\eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2255}}'),T("\\Eqqcolon",'\\html@mathml{\\mathrel{=\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"3d\\char"2237}}'),T("\\eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\vcentcolon}}{\\mathop{\\char"2239}}'),T("\\Eqcolon",'\\html@mathml{\\mathrel{\\mathrel{-}\\mathrel{\\mkern-1.2mu}\\dblcolon}}{\\mathop{\\char"2212\\char"2237}}'),T("\\colonapprox",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"3a\\char"2248}}'),T("\\Colonapprox",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\approx}}{\\mathop{\\char"2237\\char"2248}}'),T("\\colonsim",'\\html@mathml{\\mathrel{\\vcentcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"3a\\char"223c}}'),T("\\Colonsim",'\\html@mathml{\\mathrel{\\dblcolon\\mathrel{\\mkern-1.2mu}\\sim}}{\\mathop{\\char"2237\\char"223c}}'),T("∷","\\dblcolon"),T("∹","\\eqcolon"),T("≔","\\coloneqq"),T("≕","\\eqqcolon"),T("⩴","\\Coloneqq"),T("\\ratio","\\vcentcolon"),T("\\coloncolon","\\dblcolon"),T("\\colonequals","\\coloneqq"),T("\\coloncolonequals","\\Coloneqq"),T("\\equalscolon","\\eqqcolon"),T("\\equalscoloncolon","\\Eqqcolon"),T("\\colonminus","\\coloneq"),T("\\coloncolonminus","\\Coloneq"),T("\\minuscolon","\\eqcolon"),T("\\minuscoloncolon","\\Eqcolon"),T("\\coloncolonapprox","\\Colonapprox"),T("\\coloncolonsim","\\Colonsim"),T("\\simcolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),T("\\simcoloncolon","\\mathrel{\\sim\\mathrel{\\mkern-1.2mu}\\dblcolon}"),T("\\approxcolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\vcentcolon}"),T("\\approxcoloncolon","\\mathrel{\\approx\\mathrel{\\mkern-1.2mu}\\dblcolon}"),T("\\notni","\\html@mathml{\\not\\ni}{\\mathrel{\\char`∌}}"),T("\\limsup","\\DOTSB\\operatorname*{lim\\,sup}"),T("\\liminf","\\DOTSB\\operatorname*{lim\\,inf}"),T("\\injlim","\\DOTSB\\operatorname*{inj\\,lim}"),T("\\projlim","\\DOTSB\\operatorname*{proj\\,lim}"),T("\\varlimsup","\\DOTSB\\operatorname*{\\overline{lim}}"),T("\\varliminf","\\DOTSB\\operatorname*{\\underline{lim}}"),T("\\varinjlim","\\DOTSB\\operatorname*{\\underrightarrow{lim}}"),T("\\varprojlim","\\DOTSB\\operatorname*{\\underleftarrow{lim}}"),T("\\gvertneqq","\\html@mathml{\\@gvertneqq}{≩}"),T("\\lvertneqq","\\html@mathml{\\@lvertneqq}{≨}"),T("\\ngeqq","\\html@mathml{\\@ngeqq}{≱}"),T("\\ngeqslant","\\html@mathml{\\@ngeqslant}{≱}"),T("\\nleqq","\\html@mathml{\\@nleqq}{≰}"),T("\\nleqslant","\\html@mathml{\\@nleqslant}{≰}"),T("\\nshortmid","\\html@mathml{\\@nshortmid}{∤}"),T("\\nshortparallel","\\html@mathml{\\@nshortparallel}{∦}"),T("\\nsubseteqq","\\html@mathml{\\@nsubseteqq}{⊈}"),T("\\nsupseteqq","\\html@mathml{\\@nsupseteqq}{⊉}"),T("\\varsubsetneq","\\html@mathml{\\@varsubsetneq}{⊊}"),T("\\varsubsetneqq","\\html@mathml{\\@varsubsetneqq}{⫋}"),T("\\varsupsetneq","\\html@mathml{\\@varsupsetneq}{⊋}"),T("\\varsupsetneqq","\\html@mathml{\\@varsupsetneqq}{⫌}"),T("\\imath","\\html@mathml{\\@imath}{ı}"),T("\\jmath","\\html@mathml{\\@jmath}{ȷ}"),T("\\llbracket","\\html@mathml{\\mathopen{[\\mkern-3.2mu[}}{\\mathopen{\\char`⟦}}"),T("\\rrbracket","\\html@mathml{\\mathclose{]\\mkern-3.2mu]}}{\\mathclose{\\char`⟧}}"),T("⟦","\\llbracket"),T("⟧","\\rrbracket"),T("\\lBrace","\\html@mathml{\\mathopen{\\{\\mkern-3.2mu[}}{\\mathopen{\\char`⦃}}"),T("\\rBrace","\\html@mathml{\\mathclose{]\\mkern-3.2mu\\}}}{\\mathclose{\\char`⦄}}"),T("⦃","\\lBrace"),T("⦄","\\rBrace"),T("\\minuso","\\mathbin{\\html@mathml{{\\mathrlap{\\mathchoice{\\kern{0.145em}}{\\kern{0.145em}}{\\kern{0.1015em}}{\\kern{0.0725em}}\\circ}{-}}}{\\char`⦵}}"),T("⦵","\\minuso"),T("\\darr","\\downarrow"),T("\\dArr","\\Downarrow"),T("\\Darr","\\Downarrow"),T("\\lang","\\langle"),T("\\rang","\\rangle"),T("\\uarr","\\uparrow"),T("\\uArr","\\Uparrow"),T("\\Uarr","\\Uparrow"),T("\\N","\\mathbb{N}"),T("\\R","\\mathbb{R}"),T("\\Z","\\mathbb{Z}"),T("\\alef","\\aleph"),T("\\alefsym","\\aleph"),T("\\Alpha","\\mathrm{A}"),T("\\Beta","\\mathrm{B}"),T("\\bull","\\bullet"),T("\\Chi","\\mathrm{X}"),T("\\clubs","\\clubsuit"),T("\\cnums","\\mathbb{C}"),T("\\Complex","\\mathbb{C}"),T("\\Dagger","\\ddagger"),T("\\diamonds","\\diamondsuit"),T("\\empty","\\emptyset"),T("\\Epsilon","\\mathrm{E}"),T("\\Eta","\\mathrm{H}"),T("\\exist","\\exists"),T("\\harr","\\leftrightarrow"),T("\\hArr","\\Leftrightarrow"),T("\\Harr","\\Leftrightarrow"),T("\\hearts","\\heartsuit"),T("\\image","\\Im"),T("\\infin","\\infty"),T("\\Iota","\\mathrm{I}"),T("\\isin","\\in"),T("\\Kappa","\\mathrm{K}"),T("\\larr","\\leftarrow"),T("\\lArr","\\Leftarrow"),T("\\Larr","\\Leftarrow"),T("\\lrarr","\\leftrightarrow"),T("\\lrArr","\\Leftrightarrow"),T("\\Lrarr","\\Leftrightarrow"),T("\\Mu","\\mathrm{M}"),T("\\natnums","\\mathbb{N}"),T("\\Nu","\\mathrm{N}"),T("\\Omicron","\\mathrm{O}"),T("\\plusmn","\\pm"),T("\\rarr","\\rightarrow"),T("\\rArr","\\Rightarrow"),T("\\Rarr","\\Rightarrow"),T("\\real","\\Re"),T("\\reals","\\mathbb{R}"),T("\\Reals","\\mathbb{R}"),T("\\Rho","\\mathrm{P}"),T("\\sdot","\\cdot"),T("\\sect","\\S"),T("\\spades","\\spadesuit"),T("\\sub","\\subset"),T("\\sube","\\subseteq"),T("\\supe","\\supseteq"),T("\\Tau","\\mathrm{T}"),T("\\thetasym","\\vartheta"),T("\\weierp","\\wp"),T("\\Zeta","\\mathrm{Z}"),T("\\argmin","\\DOTSB\\operatorname*{arg\\,min}"),T("\\argmax","\\DOTSB\\operatorname*{arg\\,max}"),T("\\plim","\\DOTSB\\mathop{\\operatorname{plim}}\\limits"),T("\\bra","\\mathinner{\\langle{#1}|}"),T("\\ket","\\mathinner{|{#1}\\rangle}"),T("\\braket","\\mathinner{\\langle{#1}\\rangle}"),T("\\Bra","\\left\\langle#1\\right|"),T("\\Ket","\\left|#1\\right\\rangle"),T("\\bra@ket",Pr(!1)),T("\\bra@set",Pr(!0)),T("\\Braket","\\bra@ket{\\left\\langle}{\\,\\middle\\vert\\,}{\\,\\middle\\vert\\,}{\\right\\rangle}"),T("\\Set","\\bra@set{\\left\\{\\:}{\\;\\middle\\vert\\;}{\\;\\middle\\Vert\\;}{\\:\\right\\}}"),T("\\set","\\bra@set{\\{\\,}{\\mid}{}{\\,\\}}"),T("\\angln","{\\angl n}"),T("\\blue","\\textcolor{##6495ed}{#1}"),T("\\orange","\\textcolor{##ffa500}{#1}"),T("\\pink","\\textcolor{##ff00af}{#1}"),T("\\red","\\textcolor{##df0030}{#1}"),T("\\green","\\textcolor{##28ae7b}{#1}"),T("\\gray","\\textcolor{gray}{#1}"),T("\\purple","\\textcolor{##9d38bd}{#1}"),T("\\blueA","\\textcolor{##ccfaff}{#1}"),T("\\blueB","\\textcolor{##80f6ff}{#1}"),T("\\blueC","\\textcolor{##63d9ea}{#1}"),T("\\blueD","\\textcolor{##11accd}{#1}"),T("\\blueE","\\textcolor{##0c7f99}{#1}"),T("\\tealA","\\textcolor{##94fff5}{#1}"),T("\\tealB","\\textcolor{##26edd5}{#1}"),T("\\tealC","\\textcolor{##01d1c1}{#1}"),T("\\tealD","\\textcolor{##01a995}{#1}"),T("\\tealE","\\textcolor{##208170}{#1}"),T("\\greenA","\\textcolor{##b6ffb0}{#1}"),T("\\greenB","\\textcolor{##8af281}{#1}"),T("\\greenC","\\textcolor{##74cf70}{#1}"),T("\\greenD","\\textcolor{##1fab54}{#1}"),T("\\greenE","\\textcolor{##0d923f}{#1}"),T("\\goldA","\\textcolor{##ffd0a9}{#1}"),T("\\goldB","\\textcolor{##ffbb71}{#1}"),T("\\goldC","\\textcolor{##ff9c39}{#1}"),T("\\goldD","\\textcolor{##e07d10}{#1}"),T("\\goldE","\\textcolor{##a75a05}{#1}"),T("\\redA","\\textcolor{##fca9a9}{#1}"),T("\\redB","\\textcolor{##ff8482}{#1}"),T("\\redC","\\textcolor{##f9685d}{#1}"),T("\\redD","\\textcolor{##e84d39}{#1}"),T("\\redE","\\textcolor{##bc2612}{#1}"),T("\\maroonA","\\textcolor{##ffbde0}{#1}"),T("\\maroonB","\\textcolor{##ff92c6}{#1}"),T("\\maroonC","\\textcolor{##ed5fa6}{#1}"),T("\\maroonD","\\textcolor{##ca337c}{#1}"),T("\\maroonE","\\textcolor{##9e034e}{#1}"),T("\\purpleA","\\textcolor{##ddd7ff}{#1}"),T("\\purpleB","\\textcolor{##c6b9fc}{#1}"),T("\\purpleC","\\textcolor{##aa87ff}{#1}"),T("\\purpleD","\\textcolor{##7854ab}{#1}"),T("\\purpleE","\\textcolor{##543b78}{#1}"),T("\\mintA","\\textcolor{##f5f9e8}{#1}"),T("\\mintB","\\textcolor{##edf2df}{#1}"),T("\\mintC","\\textcolor{##e0e5cc}{#1}"),T("\\grayA","\\textcolor{##f6f7f7}{#1}"),T("\\grayB","\\textcolor{##f0f1f2}{#1}"),T("\\grayC","\\textcolor{##e3e5e6}{#1}"),T("\\grayD","\\textcolor{##d6d8da}{#1}"),T("\\grayE","\\textcolor{##babec2}{#1}"),T("\\grayF","\\textcolor{##888d93}{#1}"),T("\\grayG","\\textcolor{##626569}{#1}"),T("\\grayH","\\textcolor{##3b3e40}{#1}"),T("\\grayI","\\textcolor{##21242c}{#1}"),T("\\kaBlue","\\textcolor{##314453}{#1}"),T("\\kaGreen","\\textcolor{##71B307}{#1}"),{"^":!0,_:!0,"\\limits":!0,"\\nolimits":!0}),Yr=((t=Kr.prototype).feed=function(e){this.lexer=new Or(e,this.settings)},t.switchMode=function(e){this.mode=e},t.beginGroup=function(){this.macros.beginGroup()},t.endGroup=function(){this.macros.endGroup()},t.endGroups=function(){this.macros.endGroups()},t.future=function(){return 0===this.stack.length&&this.pushToken(this.lexer.lex()),this.stack[this.stack.length-1]},t.popToken=function(){return this.future(),this.stack.pop()},t.pushToken=function(e){this.stack.push(e)},t.pushTokens=function(e){var t;(t=this.stack).push.apply(t,e)},t.scanArgument=function(e){if(e){if(this.consumeSpaces(),"["!==this.future().text)return null;var t=this.popToken(),e=this.consumeArg(["]"]),r=e.tokens,n=e.end}else{e=this.consumeArg();r=e.tokens,t=e.start,n=e.end}return this.pushToken(new D0("EOF",n.loc)),this.pushTokens(r),t.range(n,"")},t.consumeSpaces=function(){for(;" "===this.future().text;)this.stack.pop()},t.consumeArg=function(e){var t=[],r=e&&0this.settings.maxExpand)throw new $("Too many expansions: infinite loop or need to increase maxExpand setting");var i=n.tokens,a=this.consumeArgs(n.numArgs,n.delimiters);if(n.numArgs)for(var o=(i=i.slice()).length-1;0<=o;--o){var s=i[o];if("#"===s.text){if(0===o)throw new $("Incomplete placeholder at end of macro body",s);if("#"===(s=i[--o]).text)i.splice(o+1,1);else{if(!/^[1-9]$/.test(s.text))throw new $("Not a valid argument number",s);i.splice.apply(i,[o,2].concat(a[+s.text-1]))}}}return this.pushTokens(i),i},t.expandAfterFuture=function(){return this.expandOnce(),this.future()},t.expandNextToken=function(){for(;;){var e=this.expandOnce();if(e instanceof D0)return e.treatAsRelax&&(e.text="\\relax"),this.stack.pop()}throw new Error},t.expandMacro=function(e){return this.macros.has(e)?this.expandTokens([new D0(e)]):void 0},t.expandTokens=function(e){var t=[],r=this.stack.length;for(this.pushTokens(e);this.stack.length>r;){var n=this.expandOnce(!0);n instanceof D0&&(n.treatAsRelax&&(n.noexpand=!1,n.treatAsRelax=!1),t.push(this.stack.pop()))}return t},t.expandMacroAsText=function(e){e=this.expandMacro(e);return e&&e.map(function(e){return e.text}).join("")},t._getExpansion=function(e){var t=this.macros.get(e);if(null==t)return t;if(1===e.length){e=this.lexer.catcodes[e];if(null!=e&&13!==e)return}e="function"==typeof t?t(this):t;if("string"!=typeof e)return e;var r=0;if(-1!==e.indexOf("#"))for(var n=e.replace(/##/g,"");-1!==n.indexOf("#"+(r+1));)++r;for(var i=new Or(e,this.settings),a=[],o=i.lex();"EOF"!==o.text;)a.push(o),o=i.lex();return a.reverse(),{tokens:a,numArgs:r}},t.isDefined=function(e){return this.macros.has(e)||qr.hasOwnProperty(e)||p.math.hasOwnProperty(e)||p.text.hasOwnProperty(e)||Ur.hasOwnProperty(e)},t.isExpandable=function(e){var t=this.macros.get(e);return null!=t?"string"==typeof t||"function"==typeof t||!t.unexpandable:qr.hasOwnProperty(e)&&!qr[e].primitive},Kr),Xr=/^[\u208a\u208b\u208c\u208d\u208e\u2080\u2081\u2082\u2083\u2084\u2085\u2086\u2087\u2088\u2089\u2090\u2091\u2095\u1d62\u2c7c\u2096\u2097\u2098\u2099\u2092\u209a\u1d63\u209b\u209c\u1d64\u1d65\u2093\u1d66\u1d67\u1d68\u1d69\u1d6a]/,Wr=Object.freeze({"₊":"+","₋":"-","₌":"=","₍":"(","₎":")","₀":"0","₁":"1","₂":"2","₃":"3","₄":"4","₅":"5","₆":"6","₇":"7","₈":"8","₉":"9","ₐ":"a","ₑ":"e","ₕ":"h","ᵢ":"i","ⱼ":"j","ₖ":"k","ₗ":"l","ₘ":"m","ₙ":"n","ₒ":"o","ₚ":"p","ᵣ":"r","ₛ":"s","ₜ":"t","ᵤ":"u","ᵥ":"v","ₓ":"x","ᵦ":"β","ᵧ":"γ","ᵨ":"ρ","ᵩ":"ϕ","ᵪ":"χ","⁺":"+","⁻":"-","⁼":"=","⁽":"(","⁾":")","⁰":"0","¹":"1","²":"2","³":"3","⁴":"4","⁵":"5","⁶":"6","⁷":"7","⁸":"8","⁹":"9","ᴬ":"A","ᴮ":"B","ᴰ":"D","ᴱ":"E","ᴳ":"G","ᴴ":"H","ᴵ":"I","ᴶ":"J","ᴷ":"K","ᴸ":"L","ᴹ":"M","ᴺ":"N","ᴼ":"O","ᴾ":"P","ᴿ":"R","ᵀ":"T","ᵁ":"U","ⱽ":"V","ᵂ":"W","ᵃ":"a","ᵇ":"b","ᶜ":"c","ᵈ":"d","ᵉ":"e","ᶠ":"f","ᵍ":"g","ʰ":"h","ⁱ":"i","ʲ":"j","ᵏ":"k","ˡ":"l","ᵐ":"m","ⁿ":"n","ᵒ":"o","ᵖ":"p","ʳ":"r","ˢ":"s","ᵗ":"t","ᵘ":"u","ᵛ":"v","ʷ":"w","ˣ":"x","ʸ":"y","ᶻ":"z","ᵝ":"β","ᵞ":"γ","ᵟ":"δ","ᵠ":"ϕ","ᵡ":"χ","ᶿ":"θ"}),jr={"́":{text:"\\'",math:"\\acute"},"̀":{text:"\\`",math:"\\grave"},"̈":{text:'\\"',math:"\\ddot"},"̃":{text:"\\~",math:"\\tilde"},"̄":{text:"\\=",math:"\\bar"},"̆":{text:"\\u",math:"\\breve"},"̌":{text:"\\v",math:"\\check"},"̂":{text:"\\^",math:"\\hat"},"̇":{text:"\\.",math:"\\dot"},"̊":{text:"\\r",math:"\\mathring"},"̋":{text:"\\H"},"̧":{text:"\\c"}},_r={"á":"á","à":"à","ä":"ä","ǟ":"ǟ","ã":"ã","ā":"ā","ă":"ă","ắ":"ắ","ằ":"ằ","ẵ":"ẵ","ǎ":"ǎ","â":"â","ấ":"ấ","ầ":"ầ","ẫ":"ẫ","ȧ":"ȧ","ǡ":"ǡ","å":"å","ǻ":"ǻ","ḃ":"ḃ","ć":"ć","ḉ":"ḉ","č":"č","ĉ":"ĉ","ċ":"ċ","ç":"ç","ď":"ď","ḋ":"ḋ","ḑ":"ḑ","é":"é","è":"è","ë":"ë","ẽ":"ẽ","ē":"ē","ḗ":"ḗ","ḕ":"ḕ","ĕ":"ĕ","ḝ":"ḝ","ě":"ě","ê":"ê","ế":"ế","ề":"ề","ễ":"ễ","ė":"ė","ȩ":"ȩ","ḟ":"ḟ","ǵ":"ǵ","ḡ":"ḡ","ğ":"ğ","ǧ":"ǧ","ĝ":"ĝ","ġ":"ġ","ģ":"ģ","ḧ":"ḧ","ȟ":"ȟ","ĥ":"ĥ","ḣ":"ḣ","ḩ":"ḩ","í":"í","ì":"ì","ï":"ï","ḯ":"ḯ","ĩ":"ĩ","ī":"ī","ĭ":"ĭ","ǐ":"ǐ","î":"î","ǰ":"ǰ","ĵ":"ĵ","ḱ":"ḱ","ǩ":"ǩ","ķ":"ķ","ĺ":"ĺ","ľ":"ľ","ļ":"ļ","ḿ":"ḿ","ṁ":"ṁ","ń":"ń","ǹ":"ǹ","ñ":"ñ","ň":"ň","ṅ":"ṅ","ņ":"ņ","ó":"ó","ò":"ò","ö":"ö","ȫ":"ȫ","õ":"õ","ṍ":"ṍ","ṏ":"ṏ","ȭ":"ȭ","ō":"ō","ṓ":"ṓ","ṑ":"ṑ","ŏ":"ŏ","ǒ":"ǒ","ô":"ô","ố":"ố","ồ":"ồ","ỗ":"ỗ","ȯ":"ȯ","ȱ":"ȱ","ő":"ő","ṕ":"ṕ","ṗ":"ṗ","ŕ":"ŕ","ř":"ř","ṙ":"ṙ","ŗ":"ŗ","ś":"ś","ṥ":"ṥ","š":"š","ṧ":"ṧ","ŝ":"ŝ","ṡ":"ṡ","ş":"ş","ẗ":"ẗ","ť":"ť","ṫ":"ṫ","ţ":"ţ","ú":"ú","ù":"ù","ü":"ü","ǘ":"ǘ","ǜ":"ǜ","ǖ":"ǖ","ǚ":"ǚ","ũ":"ũ","ṹ":"ṹ","ū":"ū","ṻ":"ṻ","ŭ":"ŭ","ǔ":"ǔ","û":"û","ů":"ů","ű":"ű","ṽ":"ṽ","ẃ":"ẃ","ẁ":"ẁ","ẅ":"ẅ","ŵ":"ŵ","ẇ":"ẇ","ẘ":"ẘ","ẍ":"ẍ","ẋ":"ẋ","ý":"ý","ỳ":"ỳ","ÿ":"ÿ","ỹ":"ỹ","ȳ":"ȳ","ŷ":"ŷ","ẏ":"ẏ","ẙ":"ẙ","ź":"ź","ž":"ž","ẑ":"ẑ","ż":"ż","Á":"Á","À":"À","Ä":"Ä","Ǟ":"Ǟ","Ã":"Ã","Ā":"Ā","Ă":"Ă","Ắ":"Ắ","Ằ":"Ằ","Ẵ":"Ẵ","Ǎ":"Ǎ","Â":"Â","Ấ":"Ấ","Ầ":"Ầ","Ẫ":"Ẫ","Ȧ":"Ȧ","Ǡ":"Ǡ","Å":"Å","Ǻ":"Ǻ","Ḃ":"Ḃ","Ć":"Ć","Ḉ":"Ḉ","Č":"Č","Ĉ":"Ĉ","Ċ":"Ċ","Ç":"Ç","Ď":"Ď","Ḋ":"Ḋ","Ḑ":"Ḑ","É":"É","È":"È","Ë":"Ë","Ẽ":"Ẽ","Ē":"Ē","Ḗ":"Ḗ","Ḕ":"Ḕ","Ĕ":"Ĕ","Ḝ":"Ḝ","Ě":"Ě","Ê":"Ê","Ế":"Ế","Ề":"Ề","Ễ":"Ễ","Ė":"Ė","Ȩ":"Ȩ","Ḟ":"Ḟ","Ǵ":"Ǵ","Ḡ":"Ḡ","Ğ":"Ğ","Ǧ":"Ǧ","Ĝ":"Ĝ","Ġ":"Ġ","Ģ":"Ģ","Ḧ":"Ḧ","Ȟ":"Ȟ","Ĥ":"Ĥ","Ḣ":"Ḣ","Ḩ":"Ḩ","Í":"Í","Ì":"Ì","Ï":"Ï","Ḯ":"Ḯ","Ĩ":"Ĩ","Ī":"Ī","Ĭ":"Ĭ","Ǐ":"Ǐ","Î":"Î","İ":"İ","Ĵ":"Ĵ","Ḱ":"Ḱ","Ǩ":"Ǩ","Ķ":"Ķ","Ĺ":"Ĺ","Ľ":"Ľ","Ļ":"Ļ","Ḿ":"Ḿ","Ṁ":"Ṁ","Ń":"Ń","Ǹ":"Ǹ","Ñ":"Ñ","Ň":"Ň","Ṅ":"Ṅ","Ņ":"Ņ","Ó":"Ó","Ò":"Ò","Ö":"Ö","Ȫ":"Ȫ","Õ":"Õ","Ṍ":"Ṍ","Ṏ":"Ṏ","Ȭ":"Ȭ","Ō":"Ō","Ṓ":"Ṓ","Ṑ":"Ṑ","Ŏ":"Ŏ","Ǒ":"Ǒ","Ô":"Ô","Ố":"Ố","Ồ":"Ồ","Ỗ":"Ỗ","Ȯ":"Ȯ","Ȱ":"Ȱ","Ő":"Ő","Ṕ":"Ṕ","Ṗ":"Ṗ","Ŕ":"Ŕ","Ř":"Ř","Ṙ":"Ṙ","Ŗ":"Ŗ","Ś":"Ś","Ṥ":"Ṥ","Š":"Š","Ṧ":"Ṧ","Ŝ":"Ŝ","Ṡ":"Ṡ","Ş":"Ş","Ť":"Ť","Ṫ":"Ṫ","Ţ":"Ţ","Ú":"Ú","Ù":"Ù","Ü":"Ü","Ǘ":"Ǘ","Ǜ":"Ǜ","Ǖ":"Ǖ","Ǚ":"Ǚ","Ũ":"Ũ","Ṹ":"Ṹ","Ū":"Ū","Ṻ":"Ṻ","Ŭ":"Ŭ","Ǔ":"Ǔ","Û":"Û","Ů":"Ů","Ű":"Ű","Ṽ":"Ṽ","Ẃ":"Ẃ","Ẁ":"Ẁ","Ẅ":"Ẅ","Ŵ":"Ŵ","Ẇ":"Ẇ","Ẍ":"Ẍ","Ẋ":"Ẋ","Ý":"Ý","Ỳ":"Ỳ","Ÿ":"Ÿ","Ỹ":"Ỹ","Ȳ":"Ȳ","Ŷ":"Ŷ","Ẏ":"Ẏ","Ź":"Ź","Ž":"Ž","Ẑ":"Ẑ","Ż":"Ż","ά":"ά","ὰ":"ὰ","ᾱ":"ᾱ","ᾰ":"ᾰ","έ":"έ","ὲ":"ὲ","ή":"ή","ὴ":"ὴ","ί":"ί","ὶ":"ὶ","ϊ":"ϊ","ΐ":"ΐ","ῒ":"ῒ","ῑ":"ῑ","ῐ":"ῐ","ό":"ό","ὸ":"ὸ","ύ":"ύ","ὺ":"ὺ","ϋ":"ϋ","ΰ":"ΰ","ῢ":"ῢ","ῡ":"ῡ","ῠ":"ῠ","ώ":"ώ","ὼ":"ὼ","Ύ":"Ύ","Ὺ":"Ὺ","Ϋ":"Ϋ","Ῡ":"Ῡ","Ῠ":"Ῠ","Ώ":"Ώ","Ὼ":"Ὼ"},$r=((c=Zr.prototype).expect=function(e,t){if(void 0===t&&(t=!0),this.fetch().text!==e)throw new $("Expected '"+e+"', got '"+this.fetch().text+"'",this.fetch());t&&this.consume()},c.consume=function(){this.nextToken=null},c.fetch=function(){return null==this.nextToken&&(this.nextToken=this.gullet.expandNextToken()),this.nextToken},c.switchMode=function(e){this.mode=e,this.gullet.switchMode(e)},c.parse=function(){this.settings.globalGroup||this.gullet.beginGroup(),this.settings.colorIsTextColor&&this.gullet.macros.set("\\color","\\textcolor");try{var e=this.parseExpression(!1);return this.expect("EOF"),this.settings.globalGroup||this.gullet.endGroup(),e}finally{this.gullet.endGroups()}},c.subparse=function(e){var t=this.nextToken,e=(this.consume(),this.gullet.pushToken(new D0("}")),this.gullet.pushTokens(e),this.parseExpression(!1));return this.expect("}"),this.nextToken=t,e},c.parseExpression=function(e,t){for(var r=[];;){"math"===this.mode&&this.consumeSpaces();var n=this.fetch();if(-1!==Zr.endOfExpression.indexOf(n.text))break;if(t&&n.text===t)break;if(e&&qr[n.text]&&qr[n.text].infix)break;n=this.parseAtom(t);if(!n)break;"internal"!==n.type&&r.push(n)}return"text"===this.mode&&this.formLigatures(r),this.handleInfixNodes(r)},c.handleInfixNodes=function(e){for(var t,r,n,i=-1,a=0;a {%- else %} - + {%- endif %} {%- endfor %}{%- endif %} @@ -29,7 +29,7 @@ {%- if config.extra.katex_css %}{%- if config.extra.katex_css is matching("^http[s]?://") %} {%- else %} - + {%- endif %}{%- endif %} {%- endif %} @@ -130,6 +130,10 @@ {#- https://github.com/KaTeX/KaTeX/tree/main/contrib/mathtex-script-type/ #} {%- if config.extra.math or page.extra.math %} +{%- if config.extra.katex_bundle %} + +{%- else %} + {%- if config.extra.katex_js %}{%- if config.extra.katex_js is matching("^http[s]?://") %} {%- else %} @@ -142,7 +146,7 @@ {%- endif %}{%- endif %} -{%- if config.extra.math_auto_render or page.extra.math_auto_render %} + {%- if config.extra.math_auto_render or page.extra.math_auto_render %} {%- if config.extra.katex_autorender_js %} {%- if config.extra.katex_autorender_js is matching("^http[s]?://") %} @@ -151,6 +155,7 @@ {%- endif %} {%- endif %} + {%- endif %} {%- endif %} {%- endif %} -- cgit v1.3.1