{"id":3460,"date":"2017-12-31T11:20:44","date_gmt":"2017-12-31T10:20:44","guid":{"rendered":"http:\/\/wp.andreas.bieri.name\/myblog\/?p=3460"},"modified":"2017-12-30T11:26:11","modified_gmt":"2017-12-30T10:26:11","slug":"latex-in-wordpress-mit-mathjax","status":"publish","type":"post","link":"http:\/\/52.29.166.97\/myblog\/2017\/12\/31\/latex-in-wordpress-mit-mathjax\/","title":{"rendered":"LaTeX in WordPress mit MathJax"},"content":{"rendered":"\n<p>In fr\u00fcheren Blogs habe ich einige M\u00f6glichkeiten zur Einbindung von mathematischen Formeln mit LaTeX vorgestellt. Eine andere, relativ neue M\u00f6glichkeit \u00fcbergibt die Arbeit des Renderns an\u00a0 MathJax, ein Javascript Applet:\u00a0<em>Mathjax enables enables rendering of embedded latex or mathml in HTML pages.<\/em><\/p>\n<p><img loading=\"lazy\" class=\" wp-image-3483 aligncenter\" src=\"http:\/\/wp.andreas.bieri.name\/myblog\/wp-content\/uploads\/2017\/12\/mathjax.png\" alt=\"\" width=\"331\" height=\"135\" srcset=\"http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2017\/12\/mathjax.png 975w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2017\/12\/mathjax-300x122.png 300w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2017\/12\/mathjax-768x314.png 768w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2017\/12\/mathjax-830x339.png 830w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2017\/12\/mathjax-230x94.png 230w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2017\/12\/mathjax-350x143.png 350w, http:\/\/52.29.166.97\/myblog\/wp-content\/uploads\/2017\/12\/mathjax-480x196.png 480w\" sizes=\"(max-width: 331px) 100vw, 331px\" \/><\/p>\n<p>Das Applet wird vom Webserver oder aus der Cloud heruntergeladen. Die \u00dcbersetzung vom LaTeX Code erfolgt dann im lokalen Browser und nicht mehr auf dem Server. Als Vorteil davon ist keine LaTeX-installation auf dem Server n\u00f6tig; nachteilig sind die Lade- und Renderingzeiten auf dem Endger\u00e4t.<\/p>\n<p>F\u00fcr WordPress gibt es zwei Plugins<a href=\"https:\/\/wordpress.org\/plugins\/mathjax-latex\/\" target=\"_blank\" rel=\"noopener\"> Mathjax-LaTeX<\/a> und <a href=\"https:\/\/wordpress.org\/plugins\/simple-mathjax\/\" target=\"_blank\" rel=\"noopener\">Simple-Mathjax<\/a>. Das erste Plugin wurde hier ins WordPress geladen und der gleiche Code wie f\u00fcr den <a href=\"http:\/\/wp.andreas.bieri.name\/myblog\/2016\/11\/04\/test-quicklatex\/\">Test von QuickLaTeX<\/a>\u00a0hineinkopiert. Im Code des Blogs musste nur irgendwo <code>mathjax<\/code> in eckigen Klammern eingef\u00fcgt werden.<\/p>\n<p>Dabei habe ich festgestellt:<\/p>\n<ul>\n<li>TikZ ist nicht enthalten (Beispiel 3: undefined Warnung). Die ist sehr schade, aber technisch nachvollziehbar.<\/li>\n<li>einzelne spezielle LaTeX-Kommandos auch nicht, wof\u00fcr es problemlos Ersatz gibt.<br \/>\nZum Beispiel habe ich \\image als Bezeichnug f\u00fcr die Bildmenge ersetzen m\u00fcssen. Das ist kein standard Befehl.<\/li>\n<li>inline Formeln werden nicht erkannt, da sich hier das Mathjax Plugin und Quicklatex in die Quere kommen. Entweder aktiviert man dies in Mathjax &#8211; dann \u00fcbernimmt Mathjax alle inline Formeln &#8211; oder ben\u00fctzt den Shortcode\u00a0<code>latex<\/code>. Das Einrahmen mit einfachen $-Zeichen funktioniert hier nicht, im Gegensatz zu QuickLaTeX. Siehe Beispiel 2 und 4.<\/li>\n<li>man kann auch mit\u00a0QuickLaTeX mischen, indem man den Code <code>latexpage<\/code> einf\u00fcgt. Ob das wohl gut geht?! Auf dieser Seite wurden so die inline Formeln durch QuickLaTeX erkannt.<\/li>\n<\/ul>\n<hr \/>\n<p>(Beispiel 1)<\/p>\n<p>You may embed latex using a variety of different syntaxes. The shortcode (https:\/\/codex.wordpress.org\/Shortcode_API) syntax is preferred. So <img loading=\"lazy\" src=\"http:\/\/52.29.166.97\/myblog\/wp-content\/ql-cache\/quicklatex.com-be0f0eec93a68eb578aeeb7ed0569532_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#69;&#61;&#109;&#99;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"69\" style=\"vertical-align: 0px;\"\/> will work out of the box. This also forces loading of mathjax.<\/p>\n<hr \/>\n<p>(Beispiel 2)<\/p>\n<h4>Euler-Poincar\u00e9-Charakteristik eines Kettenkomplexes<\/h4>\n<p>Unter einem <em>endlichen Kettenkomplex C<\/em> versteht man eine Folge von Homomorphismen $$ 0\\stackrel{f_{n+1}}{\\longrightarrow} V_n\\stackrel{f_n} {\\longrightarrow}\\cdots\\stackrel{f_2}{\\longrightarrow} V_1\\stackrel{f_1} {\\longrightarrow} V_0\\stackrel{f_0}{\\longrightarrow} 0 $$ mit der Eigenschaft <img loading=\"lazy\" src=\"http:\/\/52.29.166.97\/myblog\/wp-content\/ql-cache\/quicklatex.com-f08abf8e4bbbc220815b9dea7f9dff38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#102;&#95;&#105;&#92;&#99;&#105;&#114;&#99;&#32;&#102;&#95;&#123;&#105;&#43;&#49;&#125;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"95\" style=\"vertical-align: -5px;\"\/>, d.h. <img loading=\"lazy\" src=\"http:\/\/52.29.166.97\/myblog\/wp-content\/ql-cache\/quicklatex.com-6e04d3ebdffe1e716f06cea84ba2c911_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#123;&#92;&#114;&#109;&#32;&#66;&#105;&#108;&#100;&#125;&#102;&#95;&#123;&#105;&#43;&#49;&#125;&#92;&#115;&#117;&#98;&#115;&#101;&#116;&#32;&#123;&#92;&#114;&#109;&#32;&#75;&#101;&#114;&#110;&#125;&#92;&#58;&#32;&#102;&#95;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"144\" style=\"vertical-align: -5px;\"\/>. Der Quotientenvektorraum $$ H_i(C)\\: = \\: {\\rm Kern}\\: f_i \/ {\\rm Bild} f_{i+1}$$ heisst die <em>i-te Homologie des Komplexes<\/em>. Man beweise: Sind alle <img loading=\"lazy\" src=\"http:\/\/52.29.166.97\/myblog\/wp-content\/ql-cache\/quicklatex.com-90e14732c971297ff1e7dd4481d94b8b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#86;&#95;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: -3px;\"\/> endlichdimensonal, so gilt: $$ \\sum_{i=0}^{n}(-1)^i\\dim V_i = \\sum_{i=0}^{n}(-1)^i\\dim H_i(C)$$<\/p>\n<p>Bemerkung: diese Wechselsumme heisst <em>Euler-Poincar\u00e9-Charakteristik des Komplexes<\/em>\u00a0<img loading=\"lazy\" src=\"http:\/\/52.29.166.97\/myblog\/wp-content\/ql-cache\/quicklatex.com-f34f74d98915e33f37a086f8cbfb996a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#67;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"\/> und wird mit <img loading=\"lazy\" src=\"http:\/\/52.29.166.97\/myblog\/wp-content\/ql-cache\/quicklatex.com-a1bdc9d726273cb78c45085d798f54fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#99;&#104;&#105;&#32;&#40;&#67;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"38\" style=\"vertical-align: -4px;\"\/> bezeichnet.<\/p>\n<hr \/>\n<p>(Beispiel 3)<\/p>\n<h4>Bilder mit tikz\/pgfplots<\/h4>\n<p>Mit etwas Umstellungen im Code k\u00f6nnen auch Bilder mit tikz berechnet werden.<\/p>\n<p>\\begin{tikzpicture} [+preamble] \\usepackage{tikz} \\usepackage{pgfplots} \\pgfplotsset{compat=newest} [\/preamble] \\begin{axis} \\addplot3[surf,domain=0:360,samples=40] {cos(x)*cos(y)}; \\end{axis} \\end{tikzpicture}<\/p>\n<hr \/>\n<p>(Beispiel 4)<\/p>\n<p><strong>Symplectic mappings of Sobolev Class<\/strong><\/p>\n<p>Let $\\Omega\\subset\\RR^{2n}$, $n\\ge 1$, be a domain.<br \/>\nA mapping $f\\in W^{1,2n}_{loc}(\\Omega,\\RR^{2n})$ is symplectic (with respect to the standard symplectic form $\\omega_0$) if<br \/>\n\\begin{equation}Df(x)^TJDf(x)=J\\qquad \\textrm{for almost every x} \\in\\Omega.\\label{syso1}\\end{equation}<\/p>\n<p>The symplectic mappings are special mappings of finite dilatation and thus are covered by the following main theorem.<\/p>\n<p>Let $f\\in W^{1,n}_{loc}(\\Omega,\\RR^{n})$ be a mapping of finite dilatation. Then<\/p>\n<ul>\n<li>$f$ has a continuous representative (also called $f$) satisfying<br \/>\n$$|f(x)-f(y)| \\le C(n)||Df||_{L^n}\\left(\\log\\frac{2}{|x-y|}\\right)^{-1\/n}\\quad x,y\\in K\\subset\\Omega\\textrm{ compact},$$<\/li>\n<li>$f$ is differentiable pointwise almost everywhere in the ordinary sense,<\/li>\n<li>$f$ satisfies Lusin&#8217;s conditions $(N)$ and $(N^{-1})$, i.e. the image of a set with zero Lebesgue $n$-measure is a set\u00a0of zero measure and also the preimage of a zero-set is a zero-set.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In fr\u00fcheren Blogs habe ich einige M\u00f6glichkeiten zur Einbindung von mathematischen Formeln mit LaTeX vorgestellt. Eine andere, relativ neue M\u00f6glichkeit \u00fcbergibt die Arbeit des Renderns an\u00a0 MathJax, ein Javascript Applet:\u00a0Mathjax enables enables rendering of embedded latex or mathml in HTML pages. Das Applet wird vom Webserver oder aus der Cloud heruntergeladen. Die \u00dcbersetzung vom LaTeX [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4],"tags":[70],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v18.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>LaTeX in Wordpress mit MathJax - Merkbar.<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"http:\/\/ec2-52-29-166-97.eu-central-1.compute.amazonaws.com\/myblog\/2017\/12\/31\/latex-in-wordpress-mit-mathjax\/\" \/>\n<meta property=\"og:locale\" content=\"de_DE\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"LaTeX in Wordpress mit MathJax - Merkbar.\" \/>\n<meta property=\"og:description\" content=\"In fr\u00fcheren Blogs habe ich einige M\u00f6glichkeiten zur Einbindung von mathematischen Formeln mit LaTeX vorgestellt. 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