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diff --git a/_images/komplexitaet.svg b/_images/komplexitaet.svg
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diff --git a/_images/sort_bubble_p000.svg b/_images/sort_bubble_p000.svg
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diff --git a/_sources/content/Exercises/01_computer/04_eratosthenes/eratosthenes.ipynb b/_sources/content/Exercises/01_computer/04_eratosthenes/eratosthenes.ipynb
@@ -143,6 +143,15 @@
     "#### Lösungshinweise"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "source": [
+    "Die Primzahlen von 2 bis 100 sind:"
+   ],
+   "metadata": {
+    "collapsed": false
+   }
+  },
   {
    "cell_type": "code",
    "execution_count": 8,
@@ -162,8 +171,7 @@
      "text": [
       "[ 2,  3,  5,  7, 11, 13, 17, 19, 23, 29, \n",
       " 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, \n",
-      " 73, 79, 83, 89, 97]\n",
-      "\n"
+      " 73, 79, 83, 89, 97]\n"
      ]
     }
    ],
@@ -362,19 +370,6 @@
     ":::"
    ]
   },
-  {
-   "cell_type": "markdown",
-   "metadata": {
-    "editable": true,
-    "slideshow": {
-     "slide_type": ""
-    },
-    "tags": []
-   },
-   "source": [
-    "Die Primzahlen von 2 bis 100 sind:"
-   ]
-  },
   {
    "cell_type": "raw",
    "metadata": {

diff --git a/content/Exercises/01_computer/04_eratosthenes/eratosthenes.html b/content/Exercises/01_computer/04_eratosthenes/eratosthenes.html
@@ -609,6 +609,7 @@ <h3>Aufgabenteil A<a class="headerlink" href="#aufgabenteil-a" title="Link to th
 <p>Erstellen Sie eine Liste mit den Zahlen von 2 bis 100 und wenden Sie den Algorithmus auf diese Liste an</p>
 <section id="losungshinweise">
 <h4>Lösungshinweise<a class="headerlink" href="#losungshinweise" title="Link to this heading">#</a></h4>
+<p>Die Primzahlen von 2 bis 100 sind:</p>
 <div class="cell tag_remove_input docutils container">
 <div class="cell_output docutils container">
 <div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[ 2,  3,  5,  7, 11, 13, 17, 19, 23, 29, 
@@ -663,7 +664,6 @@ <h4>Lösungsvorschlag<a class="headerlink" href="#id1" title="Link to this headi
 Der Algorithmus kann noch weiter optimiert werden, wenn man berücksichtigt, dass jede Zahl als Produkt von Primzahlen darstellbar ist. Nach den ersten <span class="math notranslate nohighlight">\(\sqrt{n}\)</span> Zahlen wurden alle Zahlen aus der Liste gestrichen, deren Primfaktorzerlegung mindestens eine der darin enthaltenen Primzahlen enthällt. Das bedeutet aber, dass die Primfaktorzerlegungen aller folgenden, nicht gestrichenen Zahlen nur aus Primzahlen größer als <span class="math notranslate nohighlight">\(\sqrt{n}\)</span> bestehen können. Da jedoch das Produkt von zwei dieser Zahlen immer größer als <span class="math notranslate nohighlight">\(n\)</span> ist, muss jede noch nicht gestrichene Zahl in der Liste eine Primzahl sein. Folglich kann der Algorithmus beendet werden, sobald die Vielfachen der Zahlen kleiner-gleich <span class="math notranslate nohighlight">\(\sqrt{n}\)</span> überprüft wurden. Für die Komplexität heißt dies:</p>
 <p><span class="math notranslate nohighlight">\(\mathcal{O}(n \cdot \ln(\sqrt{n})).\)</span></p>
 </div>
-<p>Die Primzahlen von 2 bis 100 sind:</p>
 </section>
 </section>
 </section>

diff --git a/content/Exercises/02_python/zusatzaufgaben/zusatz_flusskontrolle.html b/content/Exercises/02_python/zusatzaufgaben/zusatz_flusskontrolle.html
@@ -837,8 +837,8 @@ <h3>Lösung<a class="headerlink" href="#id5" title="Link to this heading">#</a><
 <section id="pythagoras">
 <h2>Pythagoras<a class="headerlink" href="#pythagoras" title="Link to this heading">#</a></h2>
 <p>Schreiben Sie ein Programm, dass alle Integer Triplets <span class="math notranslate nohighlight">\(a, b, c\)</span> zwichen 1 und einer beliebigen Grenze findet, die die Gleichung</p>
-<div class="amsmath math notranslate nohighlight" id="equation-0dfb391b-4eee-4d18-82f7-4c640b9f23b1">
-<span class="eqno">(2.2)<a class="headerlink" href="#equation-0dfb391b-4eee-4d18-82f7-4c640b9f23b1" title="Permalink to this equation">#</a></span>\[\begin{equation}
+<div class="amsmath math notranslate nohighlight" id="equation-58040259-73cc-4e60-ab91-909792a452eb">
+<span class="eqno">(2.2)<a class="headerlink" href="#equation-58040259-73cc-4e60-ab91-909792a452eb" title="Permalink to this equation">#</a></span>\[\begin{equation}
     a² + b² =c²
 \end{equation}\]</div>
 <p>erfüllen.

diff --git a/content/Exercises/02_python/zusatzaufgaben/zusatz_grundlagen.html b/content/Exercises/02_python/zusatzaufgaben/zusatz_grundlagen.html
@@ -646,8 +646,8 @@ <h3>Lösung<a class="headerlink" href="#id1" title="Link to this heading">#</a><
 <section id="temperaturkonversion">
 <h2>Temperaturkonversion<a class="headerlink" href="#temperaturkonversion" title="Link to this heading">#</a></h2>
 <p>Schreiben Sie ein Programm, welches eine Temperatur von °Fahrenheit nach °Celsius umrechnet und ausgibt. Benutzen Sie die Formel:</p>
-<div class="amsmath math notranslate nohighlight" id="equation-563a3a7c-e1e3-4915-afb3-cd687572ba81">
-<span class="eqno">(2.1)<a class="headerlink" href="#equation-563a3a7c-e1e3-4915-afb3-cd687572ba81" title="Permalink to this equation">#</a></span>\[\begin{equation}
+<div class="amsmath math notranslate nohighlight" id="equation-55fc2303-a302-44fd-8bf6-1dbb928c8736">
+<span class="eqno">(2.1)<a class="headerlink" href="#equation-55fc2303-a302-44fd-8bf6-1dbb928c8736" title="Permalink to this equation">#</a></span>\[\begin{equation}
 \frac{C}{5} = \frac{F-32}{9}
 \end{equation}\]</div>
 <p>mit <span class="math notranslate nohighlight">\(C\)</span> der Temperatur in Celsius und <span class="math notranslate nohighlight">\(F\)</span> der Temperatur in Fahrenheit.</p>

diff --git a/content/Exercises/03_datenanalyse/zusatzaufgaben/zusatz_verarbeitung.html b/content/Exercises/03_datenanalyse/zusatzaufgaben/zusatz_verarbeitung.html
@@ -893,9 +893,9 @@ <h3>Random numpy array<a class="headerlink" href="#random-numpy-array" title="Li
 </div>
 </details>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[37 57 86 84 16 54 17 42 65 60]
-51.8
-22.994782016796766
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[97 36 42 52 42 86 31 18 61 40]
+50.5
+23.316303309058235
 </pre></div>
 </div>
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diff --git a/content/Exercises/04_numerik/01_trapez/trapez.html b/content/Exercises/04_numerik/01_trapez/trapez.html
@@ -641,7 +641,7 @@ <h2>Lösungsvorschlag<a class="headerlink" href="#losungsvorschlag" title="Link
 Scipy: 0.0034463689419721374
 </pre></div>
 </div>
-<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_4915/2441456229.py:20: DeprecationWarning: &#39;scipy.integrate.trapz&#39; is deprecated in favour of &#39;scipy.integrate.trapezoid&#39; and will be removed in SciPy 1.14.0
+<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/tmp/ipykernel_5014/2441456229.py:20: DeprecationWarning: &#39;scipy.integrate.trapz&#39; is deprecated in favour of &#39;scipy.integrate.trapezoid&#39; and will be removed in SciPy 1.14.0
   flaeche_sp = sp.integrate.trapz(yi, xi)
 </pre></div>
 </div>

diff --git a/content/Exercises/04_numerik/02_pi_mc/pi_mc.html b/content/Exercises/04_numerik/02_pi_mc/pi_mc.html
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+<img alt="../../../../_images/b607381c3992bc9b121c5ac4e09f411203caf404020986da1f02b1d30d47d082.png" src="../../../../_images/b607381c3992bc9b121c5ac4e09f411203caf404020986da1f02b1d30d47d082.png" />
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diff --git a/content/Exercises/04_numerik/06_temperaturgleichung/temperaturgleichung.html b/content/Exercises/04_numerik/06_temperaturgleichung/temperaturgleichung.html
@@ -748,7 +748,7 @@ <h3>Lösungsvorschlag<a class="headerlink" href="#id2" title="Link to this headi
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-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.legend.Legend at 0x7ff1597a8f40&gt;
+<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.legend.Legend at 0x7f4b556b4fd0&gt;
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@@ -839,7 +839,7 @@ <h3>Lösungsvorschlag<a class="headerlink" href="#id4" title="Link to this headi
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-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.legend.Legend at 0x7ff15b92f730&gt;
+<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.legend.Legend at 0x7f4b5570bdc0&gt;
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@@ -899,7 +899,7 @@ <h3>Lösungsvorschlag<a class="headerlink" href="#id6" title="Link to this headi
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 </div>
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-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.legend.Legend at 0x7ff159675c60&gt;
+<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;matplotlib.legend.Legend at 0x7f4b55786aa0&gt;
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 </div>
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diff --git a/content/Script/03_datenanalyse/0312_1d_plots.html b/content/Script/03_datenanalyse/0312_1d_plots.html
@@ -755,7 +755,7 @@ <h2>Punktwolken<a class="headerlink" href="#punktwolken" title="Link to this hea
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-<img alt="../../../_images/080e10068db078d95213f73effe5801749f609a3e9b604685cbf875e249d44c8.png" src="../../../_images/080e10068db078d95213f73effe5801749f609a3e9b604685cbf875e249d44c8.png" />
+<img alt="../../../_images/5ded63e37326be50c8e05fab2880593400f576e7d607cc9066366ce5a075a71f.png" src="../../../_images/5ded63e37326be50c8e05fab2880593400f576e7d607cc9066366ce5a075a71f.png" />
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 <p>Das Argument <code class="docutils literal notranslate"><span class="pre">s</span></code> erlaubt die Anpassung der Größe der Punkte. Wird nur ein einziger Wert angegeben, gilt dieser für jeden Punkt, alternativ kann mit Hilfe einer Liste für jeden Punkt individuell eine Größe festgelegt werden. Die Liste muss entsprechend genauso viele Elemente beinhalten wie Datenpunkte vorhanden sind.</p>
@@ -767,7 +767,7 @@ <h2>Punktwolken<a class="headerlink" href="#punktwolken" title="Link to this hea
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+<img alt="../../../_images/a1dca5940111974fb09aa5beecb57e81ddc49b4145dd43ad6f7e0c141ecf8793.png" src="../../../_images/a1dca5940111974fb09aa5beecb57e81ddc49b4145dd43ad6f7e0c141ecf8793.png" />
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diff --git a/content/Script/03_datenanalyse/0314_farben.html b/content/Script/03_datenanalyse/0314_farben.html
@@ -692,7 +692,7 @@ <h2>Farbpaletten<a class="headerlink" href="#farbpaletten" title="Link to this h
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-<img alt="../../../_images/99bacad73d780f1627a0bbebf4523075368766a1c56cfa54f4e2ca3b5d841d81.png" src="../../../_images/99bacad73d780f1627a0bbebf4523075368766a1c56cfa54f4e2ca3b5d841d81.png" />
+<img alt="../../../_images/c752649d1355e70edb3a9b2da62976f92544da7b519310ffe78b1ea5a4544a84.png" src="../../../_images/c752649d1355e70edb3a9b2da62976f92544da7b519310ffe78b1ea5a4544a84.png" />
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 <p>Die verwendete Farbpalette kann mit dem <code class="docutils literal notranslate"><span class="pre">cmap</span></code>-Argument definiert werden.</p>
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-<img alt="../../../_images/c207def3f6478961ae3a69c77d3ed080fb1a444d0b191be48b394795ff5fdde9.png" src="../../../_images/c207def3f6478961ae3a69c77d3ed080fb1a444d0b191be48b394795ff5fdde9.png" />
+<img alt="../../../_images/fc4e6f55a67c1712725bd9d77996453dac6a88ac4942c7aa77bdf27b4c82d988.png" src="../../../_images/fc4e6f55a67c1712725bd9d77996453dac6a88ac4942c7aa77bdf27b4c82d988.png" />
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@@ -734,7 +734,7 @@ <h2>Transparenz<a class="headerlink" href="#transparenz" title="Link to this hea
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-<img alt="../../../_images/400307ba661cf0bae9f7c1469657bab51b42edcea40a945b0646872de5769cee.png" src="../../../_images/400307ba661cf0bae9f7c1469657bab51b42edcea40a945b0646872de5769cee.png" />
+<img alt="../../../_images/38f4b01201ac7cde688897e6d0aa7846d37f2cba6fe3fe8941ccfac3c576a236.png" src="../../../_images/38f4b01201ac7cde688897e6d0aa7846d37f2cba6fe3fe8941ccfac3c576a236.png" />
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diff --git a/content/Script/03_datenanalyse/0332_fitting.html b/content/Script/03_datenanalyse/0332_fitting.html
@@ -610,7 +610,7 @@ <h1><span class="section-number">3.3.2. </span>Fitting<a class="headerlink" href
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-<img alt="../../../_images/cec2de4182d8edf91f011053ee465885dca4fc5419b00a3c1c145dfd5c9e1688.png" src="../../../_images/cec2de4182d8edf91f011053ee465885dca4fc5419b00a3c1c145dfd5c9e1688.png" />
+<img alt="../../../_images/59148babfe250945dc4160cbbeeb4473a755d374dd384f1bb97cad739a4de109.png" src="../../../_images/59148babfe250945dc4160cbbeeb4473a755d374dd384f1bb97cad739a4de109.png" />
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@@ -625,7 +625,7 @@ <h1><span class="section-number">3.3.2. </span>Fitting<a class="headerlink" href
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-<img alt="../../../_images/4e86033085d52ef5defbcd697cd7ae3a4b466a590ed38ab55fc6a520cb9a0bd2.png" src="../../../_images/4e86033085d52ef5defbcd697cd7ae3a4b466a590ed38ab55fc6a520cb9a0bd2.png" />
+<img alt="../../../_images/ada12c5dd1d37ca42956fb9c52859bc8367eb37101e75f1d5a81577f5e77f333.png" src="../../../_images/ada12c5dd1d37ca42956fb9c52859bc8367eb37101e75f1d5a81577f5e77f333.png" />
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@@ -653,7 +653,7 @@ <h1><span class="section-number">3.3.2. </span>Fitting<a class="headerlink" href
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-<img alt="../../../_images/eeb21d9368eee0784bc9f453d0ca2961ac64defd6b872c8fd7d4f45301c4be1d.png" src="../../../_images/eeb21d9368eee0784bc9f453d0ca2961ac64defd6b872c8fd7d4f45301c4be1d.png" />
+<img alt="../../../_images/e349767df24a6713f73508c4e85837cc83d4b41f7c8c3d489d16e4139d9256c8.png" src="../../../_images/e349767df24a6713f73508c4e85837cc83d4b41f7c8c3d489d16e4139d9256c8.png" />
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diff --git a/content/Script/03_datenanalyse/035_optimierung.html b/content/Script/03_datenanalyse/035_optimierung.html
@@ -602,7 +602,7 @@ <h1><span class="section-number">3.5. </span>Optimierung<a class="headerlink" hr
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-<img alt="../../../_images/c013c1139c06a9720beba5c275a887e7b478e80dce3d04b7a98464e254247e44.png" src="../../../_images/c013c1139c06a9720beba5c275a887e7b478e80dce3d04b7a98464e254247e44.png" />
+<img alt="../../../_images/2862873599a4ae6389880cb91e529cd3aa036d77ef861b72bea7e9ef54316854.png" src="../../../_images/2862873599a4ae6389880cb91e529cd3aa036d77ef861b72bea7e9ef54316854.png" />
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 <p>Die Modellfunktion, welche hier genutzt werden soll, ist eine Sinus-Funktion. Diese hat jedoch die Amplitude, Frequenz und Phasenverschiebung als frei bestimmbare Parameter:</p>
@@ -633,9 +633,9 @@ <h1><span class="section-number">3.5. </span>Optimierung<a class="headerlink" hr
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>(array([2.97922508, 1.29643688, 0.70805394]), array([[ 4.52601310e-03, -1.22070520e-05,  7.33617728e-06],
-       [-1.22070520e-05,  6.33847841e-05, -3.36583688e-04],
-       [ 7.33617728e-06, -3.36583688e-04,  2.30655817e-03]]))
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>(array([3.01367371, 1.30390547, 0.68433072]), array([[ 3.97002796e-03, -1.11080196e-05,  3.21663836e-06],
+       [-1.11080196e-05,  5.47578224e-05, -2.89645828e-04],
+       [ 3.21663836e-06, -2.89645828e-04,  1.97919992e-03]]))
 </pre></div>
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@@ -648,7 +648,7 @@ <h1><span class="section-number">3.5. </span>Optimierung<a class="headerlink" hr
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[2.97922508 1.29643688 0.70805394]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[3.01367371 1.30390547 0.68433072]
 </pre></div>
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@@ -667,7 +667,7 @@ <h1><span class="section-number">3.5. </span>Optimierung<a class="headerlink" hr
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-<img alt="../../../_images/12fc87ee01816b9edb8003694b2f021bc1b6c344038d2a2cb9cc70d65d37db8b.png" src="../../../_images/12fc87ee01816b9edb8003694b2f021bc1b6c344038d2a2cb9cc70d65d37db8b.png" />
+<img alt="../../../_images/0c577cc5a0e3f5575bd2402f506a4f62298120dc62af6ef8a634b642b60bf858.png" src="../../../_images/0c577cc5a0e3f5575bd2402f506a4f62298120dc62af6ef8a634b642b60bf858.png" />
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 <p>Häufig werden auch stückweise definierte Modellfunktionen benötigt. Das folgende Beispiel zeigt wie dies anhand des folgenden Datensatzes umgesetzt werden kann.</p>
@@ -687,7 +687,7 @@ <h1><span class="section-number">3.5. </span>Optimierung<a class="headerlink" hr
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-<img alt="../../../_images/db76a3426215f9e4f5c7551d046e328581b4e9710eca8e5d9b06794b6c795dba.png" src="../../../_images/db76a3426215f9e4f5c7551d046e328581b4e9710eca8e5d9b06794b6c795dba.png" />
+<img alt="../../../_images/201ab5d0d39ee6319bbe9470573c8344257cb3f3c4dac556e4233d161911755e.png" src="../../../_images/201ab5d0d39ee6319bbe9470573c8344257cb3f3c4dac556e4233d161911755e.png" />
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 <p>In diesem Fall wird nach einer passenden stückweise konstanten bzw. linearen Funktion gesucht. Diese hat zwei Parameter und kann wie folgt definiert werden</p>
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-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[4.04155625 2.97300337]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[3.97578905 3.01046065]
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@@ -738,7 +738,7 @@ <h1><span class="section-number">3.5. </span>Optimierung<a class="headerlink" hr
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-<img alt="../../../_images/961469d7c27696bcf7d2cb07dfdfdec02c6cff31f2dc7e08d9066eda673d85f9.png" src="../../../_images/961469d7c27696bcf7d2cb07dfdfdec02c6cff31f2dc7e08d9066eda673d85f9.png" />
+<img alt="../../../_images/9e21fc2a2f7e4256dcc3f40620023eec5d47fcd601778a65ab3103bf46c62a1d.png" src="../../../_images/9e21fc2a2f7e4256dcc3f40620023eec5d47fcd601778a65ab3103bf46c62a1d.png" />
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 <p>Im allgemeinen kann es passieren, insbesondere bei komplexen Problemen, dass nicht optimale Parameter gefunden weren konnten. An dieser Stelle kann eine Variation der Anfangswerte helfen.</p>