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actions-user committed Nov 30, 2023
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2 changes: 1 addition & 1 deletion assets/notes/algebra.html
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Expand Up @@ -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>
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2 changes: 1 addition & 1 deletion assets/notes/algebra/algebra_2023.11.14.html
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Expand Up @@ -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>
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6 changes: 3 additions & 3 deletions assets/notes/matematyka.html
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Expand Up @@ -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>
Expand Down Expand Up @@ -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>
Expand Down Expand Up @@ -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" />
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2 changes: 1 addition & 1 deletion assets/notes/matematyka/matematyka_2023.10.15.html
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Expand Up @@ -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>
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2 changes: 1 addition & 1 deletion assets/notes/matematyka/matematyka_2023.10.30.html
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Expand Up @@ -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>
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2 changes: 1 addition & 1 deletion assets/notes/matematyka/matematyka_2023.11.20.html
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Expand Up @@ -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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2 changes: 1 addition & 1 deletion searchindex.js

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