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diff --git a/.doctrees/environment.pickle b/.doctrees/environment.pickle
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diff --git a/assets/notes/algebra.html b/assets/notes/algebra.html
index 0c73d1b9..3b953484 100644
--- a/assets/notes/algebra.html
+++ b/assets/notes/algebra.html
@@ -715,7 +715,7 @@ <h3>Macierz Przejścia<a class="headerlink" href="#macierz-przejscia" title="Lin
 <p class="admonition-title">Twierdzenie o N-Bazach</p>
 <p>załóżmy że <span class="math notranslate nohighlight">\(B~B'~i~B''\)</span> to bazy przestrzenii V.</p>
 <ul class="simple">
-<li><p>$P_{B’ \to B} = (P_{B \to B’})^{-1}</p></li>
+<li><p><span class="math notranslate nohighlight">\(P_{B' \to B} = (P_{B \to B'})^{-1}\)</span></p></li>
 <li><p><span class="math notranslate nohighlight">\(P_{B \to B''} = P_{B \to B'} * P_{B' \to B''}\)</span></p></li>
 </ul>
 </div>
diff --git a/assets/notes/algebra/algebra_2023.11.14.html b/assets/notes/algebra/algebra_2023.11.14.html
index d8e3bf6e..e9d579ae 100644
--- a/assets/notes/algebra/algebra_2023.11.14.html
+++ b/assets/notes/algebra/algebra_2023.11.14.html
@@ -170,7 +170,7 @@ <h1>Macierz Przejścia<a class="headerlink" href="#macierz-przejscia" title="Lin
 <p class="admonition-title">Twierdzenie o N-Bazach</p>
 <p>załóżmy że <span class="math notranslate nohighlight">\(B~B'~i~B''\)</span> to bazy przestrzenii V.</p>
 <ul class="simple">
-<li><p>$P_{B’ \to B} = (P_{B \to B’})^{-1}</p></li>
+<li><p><span class="math notranslate nohighlight">\(P_{B' \to B} = (P_{B \to B'})^{-1}\)</span></p></li>
 <li><p><span class="math notranslate nohighlight">\(P_{B \to B''} = P_{B \to B'} * P_{B' \to B''}\)</span></p></li>
 </ul>
 </div>
diff --git a/assets/notes/matematyka.html b/assets/notes/matematyka.html
index 8c02f7bd..a09bb332 100644
--- a/assets/notes/matematyka.html
+++ b/assets/notes/matematyka.html
@@ -164,7 +164,7 @@ <h3>ważne granice<a class="headerlink" href="#wazne-granice" title="Link to thi
 \[\begin{split}
 dla~a &gt; 1\\
 lim_{x \to 0} a^x = 1\\
-forall n in \mathbb{N} ~a^{\frac{1}{n+1}} &lt; a^x &lt; a^{\frac{1}{n}}
+\forall n \in \mathbb{N} ~a^{\frac{1}{n+1}} &lt; a^x &lt; a^{\frac{1}{n}}
 \end{split}\]</div>
 <ul class="simple">
 <li></li>
@@ -379,7 +379,7 @@ <h3>Przykłady funkcji pochodnych<a class="headerlink" href="#przyklady-funkcji-
 <td><p><span class="math notranslate nohighlight">\(y' = cos(x)\)</span></p></td>
 </tr>
 <tr class="row-even"><td><p><span class="math notranslate nohighlight">\(y = arctg(x)\)</span></p></td>
-<td><p>$\rac{1}{x^2+1}</p></td>
+<td><p><span class="math notranslate nohighlight">\(\frac{1}{x^2+1}\)</span></p></td>
 </tr>
 </tbody>
 </table>
@@ -817,7 +817,7 @@ <h4>Asymptoty<a class="headerlink" href="#asymptoty" title="Link to this heading
 <p>Prosta o równaniu <span class="math notranslate nohighlight">\(y = ax+b\)</span> jest asymptotą ukośną, jeśli
 <span class="math notranslate nohighlight">\(f(x)-ax-b \to 0~dla~x\to \infty\)</span></p>
 </div>
-<p>Prosta o równaniu <span class="math notranslate nohighlight">\(y=ax+b\)</span> jest asymptotą ukośną funkcji f <span class="math notranslate nohighlight">\(Rightleftarrow\)</span>
+<p>Prosta o równaniu <span class="math notranslate nohighlight">\(y=ax+b\)</span> jest asymptotą ukośną funkcji f <span class="math notranslate nohighlight">\(\Leftrightarrow\)</span>
 <span class="math notranslate nohighlight">\(\exists lim_{x \to \infty} \frac{f(x)}{x} = a \land\)</span>
 <span class="math notranslate nohighlight">\(\exists lim_{x \to \infty} f(x)-ax = b\)</span></p>
 <hr class="docutils" />
diff --git a/assets/notes/matematyka/matematyka_2023.10.15.html b/assets/notes/matematyka/matematyka_2023.10.15.html
index ec2d1f25..8cb022b1 100644
--- a/assets/notes/matematyka/matematyka_2023.10.15.html
+++ b/assets/notes/matematyka/matematyka_2023.10.15.html
@@ -87,7 +87,7 @@ <h2>ważne granice<a class="headerlink" href="#wazne-granice" title="Link to thi
 \[\begin{split}
 dla~a &gt; 1\\
 lim_{x \to 0} a^x = 1\\
-forall n in \mathbb{N} ~a^{\frac{1}{n+1}} &lt; a^x &lt; a^{\frac{1}{n}}
+\forall n \in \mathbb{N} ~a^{\frac{1}{n+1}} &lt; a^x &lt; a^{\frac{1}{n}}
 \end{split}\]</div>
 <ul class="simple">
 <li></li>
diff --git a/assets/notes/matematyka/matematyka_2023.10.30.html b/assets/notes/matematyka/matematyka_2023.10.30.html
index 35a2e3df..e6795249 100644
--- a/assets/notes/matematyka/matematyka_2023.10.30.html
+++ b/assets/notes/matematyka/matematyka_2023.10.30.html
@@ -115,7 +115,7 @@ <h2>Przykłady funkcji pochodnych<a class="headerlink" href="#przyklady-funkcji-
 <td><p><span class="math notranslate nohighlight">\(y' = cos(x)\)</span></p></td>
 </tr>
 <tr class="row-even"><td><p><span class="math notranslate nohighlight">\(y = arctg(x)\)</span></p></td>
-<td><p>$\rac{1}{x^2+1}</p></td>
+<td><p><span class="math notranslate nohighlight">\(\frac{1}{x^2+1}\)</span></p></td>
 </tr>
 </tbody>
 </table>
diff --git a/assets/notes/matematyka/matematyka_2023.11.20.html b/assets/notes/matematyka/matematyka_2023.11.20.html
index 6ffc7f1f..7b36ead4 100644
--- a/assets/notes/matematyka/matematyka_2023.11.20.html
+++ b/assets/notes/matematyka/matematyka_2023.11.20.html
@@ -122,7 +122,7 @@ <h1>Asymptoty<a class="headerlink" href="#asymptoty" title="Link to this heading
 <p>Prosta o równaniu <span class="math notranslate nohighlight">\(y = ax+b\)</span> jest asymptotą ukośną, jeśli
 <span class="math notranslate nohighlight">\(f(x)-ax-b \to 0~dla~x\to \infty\)</span></p>
 </div>
-<p>Prosta o równaniu <span class="math notranslate nohighlight">\(y=ax+b\)</span> jest asymptotą ukośną funkcji f <span class="math notranslate nohighlight">\(Rightleftarrow\)</span>
+<p>Prosta o równaniu <span class="math notranslate nohighlight">\(y=ax+b\)</span> jest asymptotą ukośną funkcji f <span class="math notranslate nohighlight">\(\Leftrightarrow\)</span>
 <span class="math notranslate nohighlight">\(\exists lim_{x \to \infty} \frac{f(x)}{x} = a \land\)</span>
 <span class="math notranslate nohighlight">\(\exists lim_{x \to \infty} f(x)-ax = b\)</span></p>
 </section>
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