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Nicht empfohlen für neue Webseiten."> <span class="visually-hidden">Veraltet</span> </abbr></li><li><a href="/de/docs/Web/MathML/Element/math"><code><math></code></a></li><li><a href="/de/docs/Web/MathML/Element/menclose"><code><menclose></code></a><abbr class="icon icon-nonstandard" title="Nicht standardisiert. Überprüfen Sie vor der Verwendung die Browser-Kompatibilität."> <span class="visually-hidden">Nicht standardisiert</span> </abbr></li><li><a href="/de/docs/Web/MathML/Element/merror"><code><merror></code></a></li><li><a href="/de/docs/Web/MathML/Element/mfenced"><code><mfenced></code></a><abbr class="icon icon-nonstandard" title="Nicht standardisiert. Überprüfen Sie vor der Verwendung die Browser-Kompatibilität."> <span class="visually-hidden">Nicht standardisiert</span> </abbr><abbr class="icon icon-deprecated" title="Veraltet. Nicht empfohlen für neue Webseiten."> <span class="visually-hidden">Veraltet</span> </abbr></li><li><a href="/de/docs/Web/MathML/Element/mfrac"><code><mfrac></code></a></li><li><a href="/de/docs/Web/MathML/Element/mi"><code><mi></code></a></li><li><a href="/de/docs/Web/MathML/Element/mmultiscripts"><code><mmultiscripts></code></a></li><li><a href="/de/docs/Web/MathML/Element/mn"><code><mn></code></a></li><li><a href="/de/docs/Web/MathML/Element/mo"><code><mo></code></a></li><li><a href="/de/docs/Web/MathML/Element/mover"><code><mover></code></a></li><li><a href="/de/docs/Web/MathML/Element/mpadded"><code><mpadded></code></a></li><li><a href="/de/docs/Web/MathML/Element/mphantom"><code><mphantom></code></a></li><li><a href="/de/docs/Web/MathML/Element/mprescripts"><code><mprescripts></code></a></li><li><a href="/de/docs/Web/MathML/Element/mroot"><code><mroot></code></a></li><li><a href="/de/docs/Web/MathML/Element/mrow"><code><mrow></code></a></li><li><a href="/de/docs/Web/MathML/Element/ms"><code><ms></code></a></li><li><a href="/de/docs/Web/MathML/Element/mspace"><code><mspace></code></a></li><li><a href="/de/docs/Web/MathML/Element/msqrt"><code><msqrt></code></a></li><li><a href="/de/docs/Web/MathML/Element/mstyle"><code><mstyle></code></a></li><li><a href="/de/docs/Web/MathML/Element/msub"><code><msub></code></a></li><li><a href="/de/docs/Web/MathML/Element/msubsup"><code><msubsup></code></a></li><li><a href="/de/docs/Web/MathML/Element/msup"><code><msup></code></a></li><li><a href="/de/docs/Web/MathML/Element/mtable"><code><mtable></code></a></li><li><a href="/de/docs/Web/MathML/Element/mtd"><code><mtd></code></a></li><li><a href="/de/docs/Web/MathML/Element/mtext"><code><mtext></code></a></li><li><a href="/de/docs/Web/MathML/Element/mtr"><code><mtr></code></a></li><li><a href="/de/docs/Web/MathML/Element/munder"><code><munder></code></a></li><li><a href="/de/docs/Web/MathML/Element/munderover"><code><munderover></code></a></li><li><a href="/de/docs/Web/MathML/Element/semantics"><code><semantics></code></a></li></ol></details></li><li class="toggle"><details><summary>Globale Attribute</summary><ol><li><a href="/de/docs/Web/MathML/Global_attributes/dir"><code>dir</code></a></li><li><a href="/de/docs/Web/MathML/Global_attributes/displaystyle"><code>displaystyle</code></a></li><li><a href="/de/docs/Web/MathML/Global_attributes/href"><code>href</code></a><abbr class="icon icon-nonstandard" title="Nicht standardisiert. Überprüfen Sie vor der Verwendung die Browser-Kompatibilität."> <span class="visually-hidden">Nicht standardisiert</span> </abbr></li><li><a href="/de/docs/Web/MathML/Global_attributes/mathbackground"><code>mathbackground</code></a><abbr class="icon icon-deprecated" title="Veraltet. Nicht empfohlen für neue Webseiten."> <span class="visually-hidden">Veraltet</span> </abbr></li><li><a href="/de/docs/Web/MathML/Global_attributes/mathcolor"><code>mathcolor</code></a><abbr class="icon icon-deprecated" title="Veraltet. Nicht empfohlen für neue Webseiten."> <span class="visually-hidden">Veraltet</span> </abbr></li><li><a href="/de/docs/Web/MathML/Global_attributes/mathsize"><code>mathsize</code></a><abbr class="icon icon-deprecated" title="Veraltet. Nicht empfohlen für neue Webseiten."> <span class="visually-hidden">Veraltet</span> </abbr></li><li><a href="/de/docs/Web/MathML/Global_attributes/scriptlevel"><code>scriptlevel</code></a></li></ol></details></li><li><a href="/de/docs/Web/MathML/Attribute">Attribute</a></li><li><a href="/de/docs/Web/MathML/Values">MathML-Attributwerte</a></li><li class="section">Beispiele</li><li class="toggle"><ol><li><a href="/de/docs/Web/MathML/Examples/Deriving_the_Quadratic_Formula">Ableitung der Quadratischen Formel</a></li><li><a href="/de/docs/Web/MathML/Examples/MathML_Pythagorean_Theorem">Beweis des Satzes des Pythagoras</a></li></ol></li></ol></div></div><section class="place side"></section></nav></aside><div class="toc-container"><aside class="toc"><nav><div class="document-toc-container"><section class="document-toc"><header><h2 class="document-toc-heading">In diesem Artikel</h2></header><ul class="document-toc-list"><li class="document-toc-item "><a class="document-toc-link" href="#ein_kleiner_mathematikartikel">Ein kleiner Mathematikartikel</a></li><li class="document-toc-item "><a class="document-toc-link" href="#ausgangspunkt">Ausgangspunkt</a></li><li class="document-toc-item "><a class="document-toc-link" href="#tipps_und_hinweise">Tipps und Hinweise</a></li></ul></section></div></nav></aside><section class="place side"></section></div></div><main id="content" class="main-content "><article class="main-page-content" lang="de"><header><h1>Herausforderung: Drei berühmte mathematische Formeln</h1></header><div class="section-content"><ul class="prev-next"><li><a class="button secondary" href="/de/docs/Web/MathML/Guides/Tables"><span class="button-wrap"> Zurück </span></a></li><li><a class="button secondary" href="/de/docs/Web/MathML/Guides"><span class="button-wrap"> Übersicht: Leitfaden für MathML-Anfänger</span></a></li></ul> <p>Mit dem Wissen, das Sie in den letzten Artikeln erworben haben, sollten Sie bereits in der Lage sein, relativ komplexe MathML-Formeln zu schreiben. Diese Herausforderung gibt Ihnen die Gelegenheit dazu.</p></div><section aria-labelledby="ein_kleiner_mathematikartikel"><h2 id="ein_kleiner_mathematikartikel"><a href="#ein_kleiner_mathematikartikel">Ein kleiner Mathematikartikel</a></h2><div class="section-content"><p>Das Ziel ist es, den folgenden Mathematikartikel mit HTML und MathML umzuschreiben:</p> <p><img src="/de/docs/Web/MathML/Guides/Three_famous_mathematical_formulas/xelatex-output.png" alt="Screenshot des durch XeLaTeX generierten PDF-Ausdrucks" width="1013" height="697" loading="lazy"></p> <p>Auch wenn Sie nicht mit <a href="https://en.wikipedia.org/wiki/LaTeX" class="external" target="_blank">LaTeX</a> vertraut sein müssen, könnte es nützlich sein, die LaTeX-Quelle zu kennen, aus der es generiert wurde:</p> <div class="code-example"><div class="example-header"><span class="language-name">latex</span></div><pre class="brush: latex notranslate"><code>\documentclass{article} \usepackage{amsmath} \usepackage{amssymb} \begin{document} To solve the cubic equation $t^3 + pt + q = 0$ (where the real numbers $p, q$ satisfy ${4p^3 + 27q^2} > 0$) one can use Cardano's formula: \[ \sqrt[{3}]{ -\frac{q}{2} +\sqrt{\frac{q^2}{4} + {\frac{p^{3}}{27}}} }+ \sqrt[{3}]{ -\frac{q}{2} -\sqrt{\frac{q^2}{4} + {\frac{p^{3}}{27}}} } \] For any $u_1, \dots, u_n \in \mathbb{C}$ and $v_1, \dots, v_n \in \mathbb{C}$, the Cauchy–Bunyakovsky–Schwarz inequality can be written as follows: \[ \left| \sum_{k=1}^n {u_k \bar{v_k}} \right|^2 \leq { \left( \sum_{k=1}^n {|u_k|} \right)^2 \left( \sum_{k=1}^n {|v_k|} \right)^2 } \] Finally, the determinant of a Vandermonde matrix can be calculated using the following expression: \[ \begin{vmatrix} 1 & x_1 & x_1^2 & \dots & x_1^{n-1} \\ 1 & x_2 & x_2^2 & \dots & x_2^{n-1} \\ 1 & x_3 & x_3^2 & \dots & x_3^{n-1} \\ \vdots & \vdots & \vdots & \ddots & \vdots \\ 1 & x_n & x_n^2 & \dots & x_n^{n-1} \\ \end{vmatrix} = {\prod_{1 \leq {i,j} \leq n} {(x_i - x_j)}} \] \end{document} </code></pre></div></div></section><section aria-labelledby="ausgangspunkt"><h2 id="ausgangspunkt"><a href="#ausgangspunkt">Ausgangspunkt</a></h2><div class="section-content"><p>Um mit dieser Aufgabe zu beginnen, können Sie auf unsere übliche HTML-Vorlage zurückgreifen. Diese verwendet standardmäßig UTF-8-Kodierung sowie spezielle Web-Schriftarten für die <code><body></code>- und <code><math></code>-Tags (mit ähnlichem Erscheinungsbild wie der LaTeX-Ausdruck). Das Ziel ist es, die Fragezeichen <code>???</code> durch tatsächlichen MathML-Inhalt zu ersetzen.</p> <div class="code-example"><div class="example-header"><span class="language-name">html</span></div><pre class="brush: html notranslate"><code><!doctype html> <html lang="en-US"> <head> <meta charset="utf-8" /> <title>Three famous mathematical formulas</title> <link rel="stylesheet" href="https://fred-wang.github.io/MathFonts/LatinModern/mathfonts.css" /> </head> <body class="htmlmathparagraph"> <p> To solve the cubic equation ??? (where the real numbers ??? satisfy ???) one can use Cardano's formula: ??? </p> <p> For any ??? and ???, the Cauchy–Bunyakovsky–Schwarz inequality can be written as follows: ??? </p> <p> Finally, the determinant of a Vandermonde matrix can be calculated using the following expression: ??? </p> </body> </html> </code></pre></div></div></section><section aria-labelledby="tipps_und_hinweise"><h2 id="tipps_und_hinweise"><a href="#tipps_und_hinweise">Tipps und Hinweise</a></h2><div class="section-content"><ul> <li>Beginnen Sie mit dem Einfügen leerer <code><math></code>-Tags und entscheiden Sie, ob diese ein Attribut <code>display="block"</code> haben sollen oder nicht.</li> <li>Überprüfen Sie den verwendeten Text und finden Sie die entsprechenden <a href="https://en.wikipedia.org/wiki/Mathematical_operators_and_symbols_in_Unicode" class="external" target="_blank">Unicode-Zeichen</a> ("−", "ℂ", "∑", ...).</li> <li>Analysieren Sie die Semantik jedes Textteils (Variable? Operator? Zahl?) und bestimmen Sie, welches Token-Element für jedes davon verwendet werden sollte.</li> <li>Suchen Sie nach fortgeschrittenen Konstruktionen (Brüche? Wurzeln? Skripte? Matrizen?) und bestimmen Sie, welches MathML-Element dafür verwendet werden sollte.</li> <li>Vergessen Sie nicht, <code><mrow></code> für das Gruppieren von Unterausdrücken zu verwenden.</li> <li>Achten Sie auf dehnbare und große Operatoren!</li> <li>Verwenden Sie den <a href="https://validator.w3.org/nu/" class="external" target="_blank">W3C-Validator</a>, um unbeabsichtigte Fehler in Ihrem HTML/MathML-Markup zu erkennen.</li> <li>Wenn Sie feststecken oder merken, wie mühsam es ist, MathML von Hand zu schreiben, können Sie Tools zum <a href="/de/docs/Web/MathML/Authoring">Schreiben von MathML</a> verwenden, wie zum Beispiel <a href="https://fred-wang.github.io/TeXZilla/" class="external" target="_blank">TeXZilla</a>.</li> </ul> <ul class="prev-next"><li><a class="button secondary" href="/de/docs/Web/MathML/Guides/Tables"><span class="button-wrap"> Zurück </span></a></li><li><a class="button secondary" href="/de/docs/Web/MathML/Guides"><span class="button-wrap"> Übersicht: Leitfaden 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contributors. Content available under <a href="/de/docs/MDN/Writing_guidelines/Attrib_copyright_license">a Creative Commons license</a>.</p></div></div></footer></div><script type="application/json" id="hydration">{"url":"/de/docs/Web/MathML/Guides/Three_famous_mathematical_formulas","doc":{"body":[{"type":"prose","value":{"id":null,"title":null,"isH3":false,"content":"<ul class=\"prev-next\"><li><a class=\"button secondary\" href=\"/de/docs/Web/MathML/Guides/Tables\"><span class=\"button-wrap\"> Zurück </span></a></li><li><a class=\"button secondary\" href=\"/de/docs/Web/MathML/Guides\"><span class=\"button-wrap\"> Übersicht: Leitfaden für MathML-Anfänger</span></a></li></ul>\n<p>Mit dem Wissen, das Sie in den letzten Artikeln erworben haben, sollten Sie bereits in der Lage sein, relativ komplexe MathML-Formeln zu schreiben. Diese Herausforderung gibt Ihnen die Gelegenheit dazu.</p>"}},{"type":"prose","value":{"id":"ein_kleiner_mathematikartikel","title":"Ein kleiner Mathematikartikel","isH3":false,"content":"<p>Das Ziel ist es, den folgenden Mathematikartikel mit HTML und MathML umzuschreiben:</p>\n<p><img src=\"/de/docs/Web/MathML/Guides/Three_famous_mathematical_formulas/xelatex-output.png\" alt=\"Screenshot des durch XeLaTeX generierten PDF-Ausdrucks\" width=\"1013\" height=\"697\" loading=\"lazy\"></p>\n<p>Auch wenn Sie nicht mit <a href=\"https://en.wikipedia.org/wiki/LaTeX\" class=\"external\" target=\"_blank\">LaTeX</a> vertraut sein müssen, könnte es nützlich sein, die LaTeX-Quelle zu kennen, aus der es generiert wurde:</p>\n<div class=\"code-example\"><div class=\"example-header\"><span class=\"language-name\">latex</span></div><pre class=\"brush: latex notranslate\"><code>\\documentclass{article}\n\n\\usepackage{amsmath}\n\\usepackage{amssymb}\n\n\\begin{document}\n\nTo solve the cubic equation $t^3 + pt + q = 0$ (where the real numbers\n$p, q$ satisfy ${4p^3 + 27q^2} > 0$) one can use Cardano's formula:\n\n\\[\n \\sqrt[{3}]{\n -\\frac{q}{2}\n +\\sqrt{\\frac{q^2}{4} + {\\frac{p^{3}}{27}}}\n }+\n \\sqrt[{3}]{\n -\\frac{q}{2}\n -\\sqrt{\\frac{q^2}{4} + {\\frac{p^{3}}{27}}}\n }\n\\]\n\nFor any $u_1, \\dots, u_n \\in \\mathbb{C}$ and\n$v_1, \\dots, v_n \\in \\mathbb{C}$, the Cauchy–Bunyakovsky–Schwarz\ninequality can be written as follows:\n\n\\[\n \\left| \\sum_{k=1}^n {u_k \\bar{v_k}} \\right|^2\n \\leq\n {\n \\left( \\sum_{k=1}^n {|u_k|} \\right)^2\n \\left( \\sum_{k=1}^n {|v_k|} \\right)^2\n }\n\\]\n\nFinally, the determinant of a Vandermonde matrix can be calculated\nusing the following expression:\n\n\\[\n \\begin{vmatrix}\n 1 & x_1 & x_1^2 & \\dots & x_1^{n-1} \\\\\n 1 & x_2 & x_2^2 & \\dots & x_2^{n-1} \\\\\n 1 & x_3 & x_3^2 & \\dots & x_3^{n-1} \\\\\n \\vdots & \\vdots & \\vdots & \\ddots & \\vdots \\\\\n 1 & x_n & x_n^2 & \\dots & x_n^{n-1} \\\\\n \\end{vmatrix}\n = {\\prod_{1 \\leq {i,j} \\leq n} {(x_i - x_j)}}\n\\]\n\n\\end{document}\n</code></pre></div>"}},{"type":"prose","value":{"id":"ausgangspunkt","title":"Ausgangspunkt","isH3":false,"content":"<p>Um mit dieser Aufgabe zu beginnen, können Sie auf unsere übliche HTML-Vorlage zurückgreifen. Diese verwendet standardmäßig UTF-8-Kodierung sowie spezielle Web-Schriftarten für die <code><body></code>- und <code><math></code>-Tags (mit ähnlichem Erscheinungsbild wie der LaTeX-Ausdruck). Das Ziel ist es, die Fragezeichen <code>???</code> durch tatsächlichen MathML-Inhalt zu ersetzen.</p>\n<div class=\"code-example\"><div class=\"example-header\"><span class=\"language-name\">html</span></div><pre class=\"brush: html notranslate\"><code><!doctype html>\n<html lang=\"en-US\">\n <head>\n <meta charset=\"utf-8\" />\n <title>Three famous mathematical formulas</title>\n <link\n rel=\"stylesheet\"\n href=\"https://fred-wang.github.io/MathFonts/LatinModern/mathfonts.css\" />\n </head>\n <body class=\"htmlmathparagraph\">\n <p>\n To solve the cubic equation ??? (where the real numbers ??? satisfy ???)\n one can use Cardano's formula: ???\n </p>\n\n <p>\n For any ??? and ???, the Cauchy–Bunyakovsky–Schwarz inequality can be\n written as follows: ???\n </p>\n\n <p>\n Finally, the determinant of a Vandermonde matrix can be calculated using\n the following expression: ???\n </p>\n </body>\n</html>\n</code></pre></div>"}},{"type":"prose","value":{"id":"tipps_und_hinweise","title":"Tipps und Hinweise","isH3":false,"content":"<ul>\n<li>Beginnen Sie mit dem Einfügen leerer <code><math></code>-Tags und entscheiden Sie, ob diese ein Attribut <code>display=\"block\"</code> haben sollen oder nicht.</li>\n<li>Überprüfen Sie den verwendeten Text und finden Sie die entsprechenden <a href=\"https://en.wikipedia.org/wiki/Mathematical_operators_and_symbols_in_Unicode\" class=\"external\" target=\"_blank\">Unicode-Zeichen</a> (\"−\", \"ℂ\", \"∑\", ...).</li>\n<li>Analysieren Sie die Semantik jedes Textteils (Variable? Operator? Zahl?) und bestimmen Sie, welches Token-Element für jedes davon verwendet werden sollte.</li>\n<li>Suchen Sie nach fortgeschrittenen Konstruktionen (Brüche? Wurzeln? Skripte? Matrizen?) und bestimmen Sie, welches MathML-Element dafür verwendet werden sollte.</li>\n<li>Vergessen Sie nicht, <code><mrow></code> für das Gruppieren von Unterausdrücken zu verwenden.</li>\n<li>Achten Sie auf dehnbare und große Operatoren!</li>\n<li>Verwenden Sie den <a href=\"https://validator.w3.org/nu/\" class=\"external\" target=\"_blank\">W3C-Validator</a>, um unbeabsichtigte Fehler in Ihrem HTML/MathML-Markup zu erkennen.</li>\n<li>Wenn Sie feststecken oder merken, wie mühsam es ist, MathML von Hand zu schreiben, können Sie Tools zum <a href=\"/de/docs/Web/MathML/Authoring\">Schreiben von MathML</a> verwenden, wie zum Beispiel <a href=\"https://fred-wang.github.io/TeXZilla/\" class=\"external\" target=\"_blank\">TeXZilla</a>.</li>\n</ul>\n<ul class=\"prev-next\"><li><a class=\"button secondary\" href=\"/de/docs/Web/MathML/Guides/Tables\"><span class=\"button-wrap\"> Zurück </span></a></li><li><a class=\"button secondary\" href=\"/de/docs/Web/MathML/Guides\"><span class=\"button-wrap\"> Übersicht: Leitfaden für MathML-Anfänger</span></a></li></ul>"}}],"isActive":true,"isMarkdown":true,"isTranslated":true,"locale":"de","mdn_url":"/de/docs/Web/MathML/Guides/Three_famous_mathematical_formulas","modified":"2025-02-17T00:20:27.000Z","native":"Deutsch","noIndexing":false,"other_translations":[{"locale":"en-US","title":"Challenge: Three famous mathematical formulas","native":"English (US)"},{"locale":"ja","title":"課題: 三大数式","native":"日本語"},{"locale":"zh-CN","title":"三个著名的数学公式","native":"中文 (简体)"}],"pageTitle":"Herausforderung: Drei berühmte mathematische Formeln - MathML | MDN","parents":[{"uri":"/de/docs/Web","title":"Webtechnologie für Entwickler"},{"uri":"/de/docs/Web/MathML","title":"MathML"},{"uri":"/de/docs/Web/MathML/Guides","title":"Leitfaden für MathML-Anfänger"},{"uri":"/de/docs/Web/MathML/Guides/Three_famous_mathematical_formulas","title":"Herausforderung: Drei berühmte mathematische Formeln"}],"popularity":null,"short_title":"Herausforderung: Drei berühmte mathematische Formeln","sidebarHTML":"<ol><li class=\"section\"><a href=\"/de/docs/Web/MathML\">MathML</a></li><li class=\"toggle\"><ol><li class=\"toggle\"><details open=\"\"><summary><a href=\"/de/docs/Web/MathML/Guides\">Einsteiger-Tutorials</a></summary><ol><li><a href=\"/de/docs/Web/MathML/Guides/Getting_started\">Einstieg in MathML</a></li><li><a href=\"/de/docs/Web/MathML/Guides/Text_containers\">MathML-Textcontainer</a></li><li><a href=\"/de/docs/Web/MathML/Guides/Fractions_and_roots\">MathML Brüche und Wurzeln</a></li><li><a href=\"/de/docs/Web/MathML/Guides/Scripts\">Skriptelemente in MathML</a></li><li><a href=\"/de/docs/Web/MathML/Guides/Tables\">MathML-Tabellen</a></li><li><em><a href=\"/de/docs/Web/MathML/Guides/Three_famous_mathematical_formulas\" aria-current=\"page\">Herausforderung: Drei berühmte mathematische Formeln</a></em></li></ol></details></li><li class=\"toggle\"><details><summary>Anleitungen</summary><ol><li><a href=\"/de/docs/Web/MathML/Authoring\">MathML verfassen</a></li><li><a href=\"/de/docs/Web/MathML/Fonts\">Schriftarten für MathML</a></li></ol></details></li></ol></li><li class=\"section\">Referenz</li><li class=\"toggle\"><details><summary>Elemente</summary><ol><li><a href=\"/de/docs/Web/MathML/Element/annotation-xml\"><code><annotation-xml></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/annotation\"><code><annotation></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/maction\"><code><maction></code></a><abbr class=\"icon icon-deprecated\" title=\"Veraltet. Nicht empfohlen für neue Webseiten.\">\n<span class=\"visually-hidden\">Veraltet</span>\n</abbr></li><li><a href=\"/de/docs/Web/MathML/Element/math\"><code><math></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/menclose\"><code><menclose></code></a><abbr class=\"icon icon-nonstandard\" title=\"Nicht standardisiert. Überprüfen Sie vor der Verwendung die Browser-Kompatibilität.\">\n<span class=\"visually-hidden\">Nicht standardisiert</span>\n</abbr></li><li><a href=\"/de/docs/Web/MathML/Element/merror\"><code><merror></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mfenced\"><code><mfenced></code></a><abbr class=\"icon icon-nonstandard\" title=\"Nicht standardisiert. Überprüfen Sie vor der Verwendung die Browser-Kompatibilität.\">\n<span class=\"visually-hidden\">Nicht standardisiert</span>\n</abbr><abbr class=\"icon icon-deprecated\" title=\"Veraltet. Nicht empfohlen für neue Webseiten.\">\n<span class=\"visually-hidden\">Veraltet</span>\n</abbr></li><li><a href=\"/de/docs/Web/MathML/Element/mfrac\"><code><mfrac></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mi\"><code><mi></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mmultiscripts\"><code><mmultiscripts></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mn\"><code><mn></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mo\"><code><mo></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mover\"><code><mover></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mpadded\"><code><mpadded></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mphantom\"><code><mphantom></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mprescripts\"><code><mprescripts></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mroot\"><code><mroot></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mrow\"><code><mrow></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/ms\"><code><ms></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mspace\"><code><mspace></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/msqrt\"><code><msqrt></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mstyle\"><code><mstyle></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/msub\"><code><msub></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/msubsup\"><code><msubsup></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/msup\"><code><msup></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mtable\"><code><mtable></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mtd\"><code><mtd></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mtext\"><code><mtext></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/mtr\"><code><mtr></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/munder\"><code><munder></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/munderover\"><code><munderover></code></a></li><li><a href=\"/de/docs/Web/MathML/Element/semantics\"><code><semantics></code></a></li></ol></details></li><li class=\"toggle\"><details><summary>Globale Attribute</summary><ol><li><a href=\"/de/docs/Web/MathML/Global_attributes/dir\"><code>dir</code></a></li><li><a href=\"/de/docs/Web/MathML/Global_attributes/displaystyle\"><code>displaystyle</code></a></li><li><a href=\"/de/docs/Web/MathML/Global_attributes/href\"><code>href</code></a><abbr class=\"icon icon-nonstandard\" title=\"Nicht standardisiert. Überprüfen Sie vor der Verwendung die Browser-Kompatibilität.\">\n<span class=\"visually-hidden\">Nicht standardisiert</span>\n</abbr></li><li><a href=\"/de/docs/Web/MathML/Global_attributes/mathbackground\"><code>mathbackground</code></a><abbr class=\"icon icon-deprecated\" title=\"Veraltet. Nicht empfohlen für neue Webseiten.\">\n<span class=\"visually-hidden\">Veraltet</span>\n</abbr></li><li><a href=\"/de/docs/Web/MathML/Global_attributes/mathcolor\"><code>mathcolor</code></a><abbr class=\"icon icon-deprecated\" title=\"Veraltet. Nicht empfohlen für neue Webseiten.\">\n<span class=\"visually-hidden\">Veraltet</span>\n</abbr></li><li><a href=\"/de/docs/Web/MathML/Global_attributes/mathsize\"><code>mathsize</code></a><abbr class=\"icon icon-deprecated\" title=\"Veraltet. Nicht empfohlen für neue Webseiten.\">\n<span class=\"visually-hidden\">Veraltet</span>\n</abbr></li><li><a href=\"/de/docs/Web/MathML/Global_attributes/scriptlevel\"><code>scriptlevel</code></a></li></ol></details></li><li><a href=\"/de/docs/Web/MathML/Attribute\">Attribute</a></li><li><a href=\"/de/docs/Web/MathML/Values\">MathML-Attributwerte</a></li><li class=\"section\">Beispiele</li><li class=\"toggle\"><ol><li><a href=\"/de/docs/Web/MathML/Examples/Deriving_the_Quadratic_Formula\">Ableitung der Quadratischen Formel</a></li><li><a href=\"/de/docs/Web/MathML/Examples/MathML_Pythagorean_Theorem\">Beweis des Satzes des Pythagoras</a></li></ol></li></ol>","source":{"folder":"de/web/mathml/guides/three_famous_mathematical_formulas","github_url":"https://github.com/mdn/translated-content-de/blob/main/files/de/web/mathml/guides/three_famous_mathematical_formulas/index.md","last_commit_url":"https://github.com/mdn/translated-content-de/commit/452fe502cfb4c9a91c346af17370ecfb6a8bd17e","filename":"index.md"},"summary":"Mit dem Wissen, das Sie in den letzten Artikeln erworben haben, sollten Sie bereits in der Lage sein, relativ komplexe MathML-Formeln zu schreiben. Diese Herausforderung gibt Ihnen die Gelegenheit dazu.","title":"Herausforderung: Drei berühmte mathematische Formeln","toc":[{"text":"Ein kleiner Mathematikartikel","id":"ein_kleiner_mathematikartikel"},{"text":"Ausgangspunkt","id":"ausgangspunkt"},{"text":"Tipps und Hinweise","id":"tipps_und_hinweise"}],"pageType":"guide"}}</script></body></html>