Hello,
I've tried to make an epub from a website using calibre so I can read it offline. The website containts a lot of math and equations. Now, my problem is that calibre shows some of the math but not all of them, and i dont mean that it shows them twisted or unformated but not at all. Also when i press F5 to refresh the ebook the reader displays "Typesetting Math" and loads from 0% to 100%. at around 20-50% the math types are beeing displayed but when it reaches 100% they disapear again. I have included below some text with math equations. the first usualy works and the second usualy doesnt get displayed.
Do you guys have any idea why is this happening? Thank you!!!
I've tried to make an epub from a website using calibre so I can read it offline. The website containts a lot of math and equations. Now, my problem is that calibre shows some of the math but not all of them, and i dont mean that it shows them twisted or unformated but not at all. Also when i press F5 to refresh the ebook the reader displays "Typesetting Math" and loads from 0% to 100%. at around 20-50% the math types are beeing displayed but when it reaches 100% they disapear again. I have included below some text with math equations. the first usualy works and the second usualy doesnt get displayed.
Code:
<p>Now we can define <span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>h</mi><mi mathvariant="italic">θ</mi></msub><mo stretchy="false">(</mo><mi>X</mi><mo stretchy="false">)</mo></math></span><script id="MathJax-Element-18" type="math/tex">h_\theta(X)</script> as a row vector that gives the value of <span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>h</mi><mi mathvariant="italic">θ</mi></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo></math></span><script id="MathJax-Element-19" type="math/tex">h_\theta(x)</script> at each of the <span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math></span><script id="MathJax-Element-20" type="math/tex">m</script> training examples:</p>
<p><span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable minlabelspacing=".8em" side="right" displaystyle="true" columnspacing="0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em" rowspacing="3pt" columnalign="right left right left right left right left right left right left"><mtr><mtd><msub><mi>h</mi><mi mathvariant="italic">θ</mi></msub><mo stretchy="false">(</mo><mi>X</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mfenced close="]" open="["><mtable columnspacing="1em" rowspacing="4pt" columnalign="center"><mtr><mtd><msub><mi mathvariant="italic">θ</mi><mn>0</mn></msub><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup><mo stretchy="false">+</mo><msub><mi mathvariant="italic">θ</mi><mn>1</mn></msub><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup><mo stretchy="false">+</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo stretchy="false">+</mo><msub><mi mathvariant="italic">θ</mi><mi>n</mi></msub><msubsup><mi>x</mi><mi>n</mi><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup><mspace width="3em"/><msub><mi mathvariant="italic">θ</mi><mn>0</mn></msub><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup><mo stretchy="false">+</mo><msub><mi mathvariant="italic">θ</mi><mn>1</mn></msub><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup><mo stretchy="false">+</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo stretchy="false">+</mo><msub><mi mathvariant="italic">θ</mi><mi>n</mi></msub><msubsup><mi>x</mi><mi>n</mi><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup><mspace width="3em"/><mo>.</mo><mo>.</mo><mo>.</mo><mspace width="3em"/><msub><mi mathvariant="italic">θ</mi><mn>0</mn></msub><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">)</mo></mrow></msubsup><mo stretchy="false">+</mo><msub><mi mathvariant="italic">θ</mi><mn>1</mn></msub><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">)</mo></mrow></msubsup><mo stretchy="false">+</mo><mo>.</mo><mo>.</mo><mo>.</mo><mo stretchy="false">+</mo><msub><mi mathvariant="italic">θ</mi><mi>n</mi></msub><msubsup><mi>x</mi><mi>n</mi><mrow><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">)</mo></mrow></msubsup></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></math></span><script id="MathJax-Element-21" type="math/tex">
\begin{align*}
h_\theta(X) =
\begin{bmatrix}
\theta_0 x^{(1)}_0 + \theta_1 x^{(1)}_1 + ... + \theta_n x^{(1)}_n \hspace{3em}
\theta_0 x^{(2)}_0 + \theta_1 x^{(2)}_1 + ... + \theta_n x^{(2)}_n \hspace{3em} ... \hspace{3em}
\theta_0 x^{(m)}_0 + \theta_1 x^{(m)}_1 + ... + \theta_n x^{(m)}_n \newline
\end{bmatrix}
\end{align*}
</script></p>
<p>But again using the definition of matrix multiplication, we can represent this more concisely:</p>
<p><span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable minlabelspacing=".8em" side="right" displaystyle="true" columnspacing="0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em" rowspacing="3pt" columnalign="right left right left right left right left right left right left"><mtr><mtd><msub><mi>h</mi><mi mathvariant="italic">θ</mi></msub><mo stretchy="false">(</mo><mi>X</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mfenced close="]" open="["><mtable columnspacing="1em" rowspacing="4pt" columnalign="center"><mtr><mtd><msub><mi mathvariant="italic">θ</mi><mn>0</mn></msub><mspace width="2em"/><msub><mi mathvariant="italic">θ</mi><mn>1</mn></msub><mspace width="2em"/><mo>.</mo><mo>.</mo><mo>.</mo><mspace width="2em"/><msub><mi mathvariant="italic">θ</mi><mi>n</mi></msub></mtd></mtr></mtable></mfenced><mfenced close="]" open="["><mtable columnspacing="1em" rowspacing="4pt" columnalign="center"><mtr><mtd><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup><mspace width="2em"/><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup><mspace width="2em"/><mo>.</mo><mo>.</mo><mo>.</mo><mspace width="2em"/><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">)</mo></mrow></msubsup></mtd></mtr><mtr><mtd><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup><mspace width="2em"/><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup><mspace width="2em"/><mo>.</mo><mo>.</mo><mo>.</mo><mspace width="2em"/><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">)</mo></mrow></msubsup></mtd></mtr><mtr><mtd><mo stretchy="false">⋮</mo></mtd></mtr><mtr><mtd><msubsup><mi>x</mi><mi>n</mi><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup><mspace width="2em"/><msubsup><mi>x</mi><mi>n</mi><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup><mspace width="2em"/><mo>.</mo><mo>.</mo><mo>.</mo><mspace width="2em"/><msubsup><mi>x</mi><mi>n</mi><mrow><mo stretchy="false">(</mo><mi>m</mi><mo stretchy="false">)</mo></mrow></msubsup></mtd></mtr></mtable></mfenced><mo stretchy="false">=</mo><msup><mi mathvariant="italic">θ</mi><mi>T</mi></msup><mi>X</mi></mtd></mtr></mtable></math></span><script id="MathJax-Element-22" type="math/tex">
\begin{align*}
h_\theta(X) =
\begin{bmatrix}
\theta_0 \hspace{2em} \theta_1 \hspace{2em} ... \hspace{2em} \theta_n
\end{bmatrix}
\begin{bmatrix}
x^{(1)}_0 \hspace{2em} x^{(2)}_0\hspace{2em} ... \hspace{2em} x^{(m)}_0 \newline
x^{(1)}_1 \hspace{2em} x^{(2)}_1 \hspace{2em} ... \hspace{2em} x^{(m)}_1 \newline
\vdots \newline
x^{(1)}_n \hspace{2em} x^{(2)}_n \hspace{2em} ... \hspace{2em} x^{(m)}_n \newline
\end{bmatrix}=
\theta^T X
\end{align*}
</script></p>
<p><strong>Note</strong>: this version of the hypothesis function assumes the matrix <span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math></span><script id="MathJax-Element-23" type="math/tex">X</script> and vector <span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="italic">θ</mi></math></span><script id="MathJax-Element-24" type="math/tex">\theta</script> store their values as follows:</p>
<p><span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable minlabelspacing=".8em" side="right" displaystyle="true" columnspacing="0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em" rowspacing="3pt" columnalign="right left right left right left right left right left right left"><mtr><mtd><mi>X</mi><mo stretchy="false">=</mo><mfenced close="]" open="["><mtable columnspacing="1em" rowspacing="4pt" columnalign="center"><mtr><mtd><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd><mtd><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd><mtd><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd></mtr><mtr><mtd><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd><mtd><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd><mtd><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd></mtr></mtable></mfenced></mtd><mtd><mo stretchy="false">,</mo><mi mathvariant="italic">θ</mi><mo stretchy="false">=</mo><mfenced close="]" open="["><mtable columnspacing="1em" rowspacing="4pt" columnalign="center"><mtr><mtd><msub><mi mathvariant="italic">θ</mi><mn>0</mn></msub></mtd></mtr><mtr><mtd><msub><mi mathvariant="italic">θ</mi><mn>1</mn></msub></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></math></span><script id="MathJax-Element-25" type="math/tex">
\begin{align*}
X =
\begin{bmatrix}
x^{(1)}_0 x^{(2)}_0 x^{(3)}_0 \newline
x^{(1)}_1 x^{(2)}_1 x^{(3)}_1
\end{bmatrix}
,\theta =
\begin{bmatrix}
\theta_0 \newline
\theta_1 \newline
\end{bmatrix}
\end{align*}
</script></p>
<p>You might instead store the training examples in <span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>X</mi></math></span><script id="MathJax-Element-26" type="math/tex">X</script> row-wise, like such:</p>
<p><span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><mtable minlabelspacing=".8em" side="right" displaystyle="true" columnspacing="0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em" rowspacing="3pt" columnalign="right left right left right left right left right left right left"><mtr><mtd><mi>X</mi><mo stretchy="false">=</mo><mfenced close="]" open="["><mtable columnspacing="1em" rowspacing="4pt" columnalign="center"><mtr><mtd><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd><mtd><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd></mtr><mtr><mtd><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd><mtd><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mn>2</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd></mtr><mtr><mtd><msubsup><mi>x</mi><mn>0</mn><mrow><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd><mtd><msubsup><mi>x</mi><mn>1</mn><mrow><mo stretchy="false">(</mo><mn>3</mn><mo stretchy="false">)</mo></mrow></msubsup></mtd></mtr></mtable></mfenced></mtd><mtd><mo stretchy="false">,</mo><mi mathvariant="italic">θ</mi><mo stretchy="false">=</mo><mfenced close="]" open="["><mtable columnspacing="1em" rowspacing="4pt" columnalign="center"><mtr><mtd><msub><mi mathvariant="italic">θ</mi><mn>0</mn></msub></mtd></mtr><mtr><mtd><msub><mi mathvariant="italic">θ</mi><mn>1</mn></msub></mtd></mtr></mtable></mfenced></mtd></mtr></mtable></math></span><script id="MathJax-Element-27" type="math/tex">
\begin{align*}
X =
\begin{bmatrix}
x^{(1)}_0 x^{(1)}_1 \newline
x^{(2)}_0 x^{(2)}_1 \newline
x^{(3)}_0 x^{(3)}_1
\end{bmatrix}
,\theta =
\begin{bmatrix}
\theta_0 \newline
\theta_1 \newline
\end{bmatrix}
\end{align*}
</script></p>Code:
<h2 id="uKMKRwShqcolDYwBCCqBGWG"> <span class="mw-headline" id="Hypothesis_Representation">Hypothesis Representation</span></h2>
<p>Our hypothesis should satisfy:</p>
<p><span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle mathsize="1.2em"><mn>0</mn><mo stretchy="false">≤</mo><msub><mi>h</mi><mi mathvariant="italic">θ</mi></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">≤</mo><mn>1</mn></mstyle></math></span><script id="MathJax-Element-4" type="math/tex">
\large
0 \leq h_\theta (x) \leq 1
</script></p>
<p>Our new form uses the "Sigmoid Function," also called the "Logistic Function":</p>
<p><span style="display: none;" class="MathJax_Preview"></span><span style="font-size: 100%;" class="MathJax_MathML"><math xmlns="http://www.w3.org/1998/Math/MathML"><mstyle mathsize="1.2em"><mtable minlabelspacing=".8em" side="right" displaystyle="true" columnspacing="0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em 2em 0.2777777777777778em" rowspacing="3pt" columnalign="right left right left right left right left right left right left"><mtr><mtd/><mtd><msub><mi>h</mi><mi mathvariant="italic">θ</mi></msub><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>g</mi><mo stretchy="false">(</mo><msup><mi mathvariant="italic">θ</mi><mi>T</mi></msup><mi>x</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd/></mtr><mtr><mtd/><mtd><mi>z</mi><mo stretchy="false">=</mo><msup><mi mathvariant="italic">θ</mi><mi>T</mi></msup><mi>x</mi></mtd></mtr><mtr><mtd/><mtd><mi>g</mi><mo stretchy="false">(</mo><mi>z</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mstyle displaystyle="true" scriptlevel="0"><mfrac><mn>1</mn><mrow><mn>1</mn><mo stretchy="false">+</mo><msup><mi>e</mi><mrow><mo stretchy="false">−</mo><mi>z</mi></mrow></msup></mrow></mfrac></mstyle></mtd></mtr></mtable></mstyle></math></span><script id="MathJax-Element-5" type="math/tex">
\large
\begin{align*}
h_\theta (x) = g ( \theta^T x ) \newline \newline
z = \theta^T x \newline
g(z) = \dfrac{1}{1 + e^{-z}}
\end{align*}
</script></p>