128 lines
4.1 KiB
Markdown
128 lines
4.1 KiB
Markdown
<div class="layout-content-only">
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<h1><span class="emoji">🧮</span><br/>Mathematische Formeln</h1>
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---
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<div class="layout-content-and-preview">
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<h2>Formel-Umgebungen</h2>
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<pre class="lang-tex hljs"><code>$2 \sqrt{\frac{\pi^2}{3} \cdot c_2}$</code></pre>
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<p>Die mathematische Umgebung wird durch zwei Dollarzeichen abgegrenzt. Außerdem gibt es eine Blockumgebung.</p>
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<pre class="lang-tex hljs"><code>\begin{equation}
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2 \sqrt{\frac{\pi^2}{3} \cdot c_2}
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\end{equation}</code></pre>
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<p>Pakete: <code>amsmath</code>, <code>amsthm</code>, <code>amssymb</code>, <code>mathtools</code></p>
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</div>
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<div class="layout-preview">
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<img src="sections/german/09/simple-maths-crop.svg" style="max-height: 100%;">
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</div>
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</div>
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---
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<div class="layout-content-only">
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<div class="layout-content">
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<h2>Einige Beispiele</h2>
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<table>
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<tr>
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<th>Quelltext</th>
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<th>Ergebnis</th>
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</tr>
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<tr class="fragment">
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<td>`$`<code>\sqrt{16}$</code></td>
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<td>$\sqrt{16}$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>\frac{3}{4}$</code></td>
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<td>$\frac{3}{4}$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>e^{\pi}$</code></td>
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<td>$e^{\pi}$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>\sum\_{i=1}^{n}x^2$</code></td>
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<td>$\sum_{i=1}^{n} x^2$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>12 \leq 4 x^2 + 13$</code></td>
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<td>$12 \leq 4 x^2 + 13$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>(A \cup B) \cap C$</code></td>
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<td>$(A \cup B) \cap C$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>(A \lor B) \land C$</code></td>
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<td>$(A \lor B) \land C$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>(A \cdot B) \times C$</code></td>
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<td>$(A \cdot B) \times C$</td>
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</tr>
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</table>
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<p class="fragment">Durch <code>$</code><code>^{…}$</code> und <code>$</code><code>_{…}$</code> werden Inhalte hoch- oder tiefgestellt.</p>
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</div>
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</div>
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---
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<div class="layout-content-only">
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<div class="layout-content">
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<h2>Einige Beispiele</h2>
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<table>
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<tr>
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<th>Quelltext</th>
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<th>Ergebnis</th>
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</tr>
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<tr class="fragment">
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<td>`$`<code>(x), [x], \lbrace x\rbrace, \lvert x\rvert$</code></td>
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<td>$(x), [x], \lbrace x\rbrace, \lvert x\rvert$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>\exists,\forall,\in,\notin,\infty$</code></td>
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<td>$\exists,\forall,\in,\notin,\infty$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>\alpha, \beta, \Gamma, \Delta, \varepsilon, \pi$</code></td>
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<td>$\alpha, \beta, \Gamma, \Delta, \varepsilon, \pi$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>\rightarrow, \leftarrow, \Rightarrow, \Leftarrow, \Leftrightarrow$</code></td>
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<td>$\rightarrow, \leftarrow, \Rightarrow, \Leftarrow, \Leftrightarrow$</td>
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</tr>
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</table>
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</div>
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</div>
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---
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<div class="layout-content-only">
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<div class="layout-content">
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<h3>Mitwachsende Klammern</h3>
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<table>
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<tr>
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<th>Quelltext</th>
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<th>Ergebnis</th>
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</tr>
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<tr class="fragment">
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<td>`$`<code>\left(\frac{1}{2} \right)$</code></td>
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<td>$\left(\frac{1}{2} \right)$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>\left\lbrace\frac{1}{2} \right\rbrace$</code></td>
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<td>$\left\lbrace\frac{1}{2} \right\rbrace$</td>
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</tr>
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<tr class="fragment">
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<td>`$`<code>\left[\frac{1}{2} \right]$</code></td>
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<td>$\left[\frac{1}{2} \right]$</td>
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</tr>
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</table>
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<pre class="fragment"><code>$4 \cdot \left(\frac{1}{2} + 12 \cdot \left(\frac{1}{2} \right) + 86 \cdot \left(\frac{1}{2} \right) \right)$</code></pre>
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<p class="fragment" style="text-align: center;">$4 \cdot \left(\frac{1}{2} + 12 \cdot \left(\frac{1}{2 + 86 \cdot \left(\frac{1}{2} \right)} \right) \right)$</p>
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</div>
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</div>
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