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    <description></description>
    <digest>405ddb56831f3bf3e8c52ca0dc45e45d</digest>
    <expression>f(x)=\int_0^{x}g(t)\,dt</expression>
    <id type="integer">3</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>The Example Formula</label>
    <updated-at type="datetime">2008-07-25T04:46:59Z</updated-at>
  </formula>
  <formula>
    <created-at type="datetime">2008-07-25T07:18:35Z</created-at>
    <description>c&#12399;&#30452;&#35282;&#19977;&#35282;&#24418;&#12398;&#26012;&#36794;&#12398;&#38263;&#12373;&#12434;&#12289;a, b&#12399;&#27531;&#12426;&#12398;&#36794;&#12398;&#38263;&#12373;&#12434;&#34920;&#12377;&#12290;</description>
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    <expression>a^2+b^2=c^2</expression>
    <id type="integer">4</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>Pythagorean theorem</label>
    <updated-at type="datetime">2008-07-25T08:05:01Z</updated-at>
  </formula>
  <formula>
    <created-at type="datetime">2008-07-25T08:26:26Z</created-at>
    <description></description>
    <digest>c6a41239f4963ffb815238c2bede027a</digest>
    <expression>L_o(\vec{x},\vec{w}) = L_e(\vec{x}, \vec{w}) +
\int_\Omega f_r(\vec{x},\vec{w}',\vec{w})
L_i(\vec{x},\vec{w}')(\vec{w}'\cdot\vec{n})d\vec{w}'
</expression>
    <id type="integer">5</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>Rendering Equation</label>
    <updated-at type="datetime">2008-07-25T08:26:26Z</updated-at>
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  <formula>
    <created-at type="datetime">2008-07-25T08:32:34Z</created-at>
    <description></description>
    <digest>4fc77997027e33a577aab945a6deb432</digest>
    <expression>E=mc^2</expression>
    <id type="integer">6</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-07-25T08:32:34Z</updated-at>
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  <formula>
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    <description></description>
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    <expression>e^{i\pi}+1=0</expression>
    <id type="integer">7</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>Euler's identity (&#12458;&#12452;&#12521;&#12540;&#12398;&#31561;&#24335;)</label>
    <updated-at type="datetime">2008-07-25T08:44:41Z</updated-at>
  </formula>
  <formula>
    <created-at type="datetime">2008-07-25T10:26:25Z</created-at>
    <description></description>
    <digest>f2307e2f726d7771a7695b5ed5e4491d</digest>
    <expression>H_{2}O</expression>
    <id type="integer">8</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-07-25T10:26:25Z</updated-at>
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  <formula>
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    <description></description>
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    <expression>211</expression>
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    <description></description>
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    <expression>y_k=f(x_0, x_1, x_2, ..., x_k)</expression>
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    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-07-25T12:44:15Z</updated-at>
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    <description></description>
    <digest>4810b102dec2aed4b214e1d45f633ece</digest>
    <expression>\mathrm{H_2O}</expression>
    <id type="integer">11</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
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    <description></description>
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    <expression>x^{2}_{0}</expression>
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    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-07-25T13:26:17Z</updated-at>
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    <description></description>
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    <expression>y=x^x</expression>
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    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
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    <description></description>
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    <expression>\mbox{Hello, world!}</expression>
    <id type="integer">14</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>An Example of Using \mbox{}</label>
    <updated-at type="datetime">2008-07-25T13:55:00Z</updated-at>
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  <formula>
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    <description></description>
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    <expression>\frac{d}{dx}x^x=x^x+x^x\log{x}</expression>
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    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-07-25T16:09:59Z</updated-at>
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    <description></description>
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    <expression>P(B|A)=\frac{P(A|B)P(B)}{P(A)}</expression>
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    <label>Bayes' theorem</label>
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    <expression>{}_{f(x)=\sum_{i=1}^N+f_i(x)+g_i(x)}</expression>
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    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
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    <expression>
f(x)=\sum_{i=1}^N+f_i(x)
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  <formula>
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    <description>This result appears when the expression wrongs.

boldmath doesn't work well?...</description>
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    <expression>{}_{&#12399;}</expression>
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    <expression>{}_{P(Y
X)}</expression>
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    <label nil="true"></label>
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    <expression>{}_{X}</expression>
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    <label nil="true"></label>
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    <description></description>
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    <expression>{}_{P(Y|X)}</expression>
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    <image type="binary" encoding="base64" nil="true"></image>
    <label>Posterior Probability &#65288;&#20107;&#24460;&#30906;&#29575;&#65289;</label>
    <updated-at type="datetime">2008-07-26T05:13:43Z</updated-at>
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  <formula>
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    <description></description>
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    <expression>F=\int f(x)\,dx</expression>
    <id type="integer">25</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-07-26T05:58:37Z</updated-at>
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  <formula>
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    <description></description>
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    <expression>\int_0^{\infty}e^{-x^2}dx=\sqrt\pi</expression>
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    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-07-26T15:36:50Z</updated-at>
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    <description nil="true"></description>
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    <expression>{}_{f(x)}</expression>
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    <description></description>
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    <expression>\vec{x}\cdot\vec{y}</expression>
    <id type="integer">28</id>
    <image type="binary" encoding="base64" nil="true"></image>
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    <description nil="true"></description>
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    <expression>f(x)=/int_0^{x}g(t)/,dt</expression>
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    <expression>\int_{-\infty}^\infty e^{-x^2} dx = I;
I^2 = \int_{-\infty}^\infty e^{-(x^2+y^2)} dx dy
=\int_0^\infty re^{-r^2} dr \int_0^{2\pi}d\theta
=[-\frac{1}{2}e^{-r^2}]^\infty_0 2\pi;
\int_{-\infty}^\infty e^{-x^2} dx = \sqrt{\pi}</expression>
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    <image type="binary" encoding="base64" nil="true"></image>
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    <expression>x=\pi^2=\int_{-\pi}^{\pi}dx\sin(x)</expression>
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    <description>`\begin{matrix}`&#65374;`\end{matrix}`&#12434;&#20351;&#12356;&#12414;&#12377;&#12290;

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    \begin{matrix}
    f(x,y) &amp;=&amp; \log_x{y} \\\\
    f(e,y) &amp;=&amp; \ln{y}
    \end{matrix}

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    <expression>\begin{matrix}
f(x,y) &amp;=&amp; \log_x{y} \\
f(e,y) &amp;=&amp; \ln{y}
\end{matrix}</expression>
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    <expression>\begin{matrix}
\int_{-\infty}^\infty e^{-x^2} dx &amp;=&amp; I \\
I^2 &amp;=&amp; \int_{-\infty}^\infty e^{-(x^2+y^2)} dx dy \\
 &amp;=&amp; \int_0^\infty re^{-r^2} dr \int_0^{2\pi}d\theta \\
 &amp;=&amp; [-\frac{1}{2}e^{-r^2}]^\infty_0 2\pi
\int_{-\infty}^\infty e^{-x^2} dx = \sqrt{\pi}
\end{matrix}</expression>
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    <description></description>
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    <expression>y=\int_{-\pi}^{\pi}dx\sin(x)</expression>
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    <label></label>
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    <description></description>
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    <expression>  K_{ij}^e  = \iiint_{\Omega _e } {\sigma \nabla N_i  \cdot }\nabla N_j d\Omega  + \iint_{\Gamma _e } {\sigma \alpha N_i N_j d\Gamma }</expression>
    <id type="integer">35</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
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  <formula>
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    <description></description>
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    <expression>\frac{1}{2}</expression>
    <id type="integer">36</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
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    <description nil="true"></description>
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    <expression>f(x)=int_0^{x}g(t),dt</expression>
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    <description></description>
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    <expression>mathbb{R}^2 =\{ (x,y) | -\infty &lt;x&lt;\infty , -\infty &lt;y&lt;\infty \}</expression>
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    <description></description>
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    <expression>I=\int_{-\infty}^{\infty} \exp(-x^2) dx</expression>
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    <expression>\int_0^{x}g(t)\,dt=1</expression>
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    <expression>\frac{1}{1+i}</expression>
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    <description></description>
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    <expression>\mbox{\boldmath $x$}</expression>
    <id type="integer">94</id>
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    <label></label>
    <updated-at type="datetime">2008-08-10T06:50:59Z</updated-at>
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  <formula>
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    <description></description>
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    <expression>g(x)=\int_0^x f(t)\,dt</expression>
    <id type="integer">95</id>
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    <label></label>
    <updated-at type="datetime">2008-08-10T06:55:59Z</updated-at>
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    <expression>{}_{x=y}</expression>
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    <description nil="true"></description>
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    <expression>h(x)=\sum_{i}^N+f_i(x)</expression>
    <id type="integer">97</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label nil="true"></label>
    <updated-at type="datetime">2008-08-10T06:58:35Z</updated-at>
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    <description></description>
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    <expression>y &amp; = &amp; x^2+3 \\
y^2 &amp; = &amp; x + x^{\frac{1}{2}}</expression>
    <id type="integer">98</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
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  <formula>
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    <description></description>
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    <expression>\mbox{\LaTeX}</expression>
    <id type="integer">99</id>
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    <label></label>
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    <expression>\left\{ \begin{array}{rcrcr}
2x &amp; + &amp; 5y &amp; = &amp; 12 \\
3x &amp; + &amp; y &amp; = &amp; 5
\end{array} \right.</expression>
    <id type="integer">100</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>&#36899;&#31435;&#26041;&#31243;&#24335;&#12398;&#12469;&#12531;&#12503;&#12523;</label>
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    <description></description>
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    <expression>\left(
\begin{array}{ccc}
5 &amp; 3&amp; 10 \\
7 &amp; 9&amp;  5 \\
10&amp; 1&amp;  0
\end{array}
\right)</expression>
    <id type="integer">101</id>
    <image type="binary" encoding="base64" nil="true"></image>
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    <description></description>
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    <expression>y &amp;=&amp; \ln x \\
\frac{d}{dx}y &amp;=&amp; \frac{1}{x}</expression>
    <id type="integer">102</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>&#35079;&#25968;&#34892;&#12395;&#12431;&#12383;&#12427;&#25968;&#24335;&#12398;&#12469;&#12531;&#12503;&#12523;</label>
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  <formula>
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    <description></description>
    <digest>e0bf04bbccc6bc492564ba7ffc53c73c</digest>
    <expression>\Phi(z) = e^{2 \pi i z} \prod_{k = 1}^{\infty} (1 - e^{8 k \pi i z})^2 (1 - e^{16 k \pi i z})^2</expression>
    <id type="integer">103</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
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    <expression>\left\{ \begin{array}{rcrcr}
2x &amp; + &amp; 5y &amp; = &amp; -3 \\
3x &amp; + &amp; y &amp; = &amp; 2
\end{array} \right.</expression>
    <id type="integer">104</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
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    <description></description>
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    <expression>y &amp;=&amp; \log_e x \\
\frac{d}{dx}y &amp;=&amp; \frac{1}{x}</expression>
    <id type="integer">105</id>
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    <label></label>
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  <formula>
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    <description></description>
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    <expression>\begin{array}{rcrcr}
2x &amp; + &amp; 2y &amp;=&amp; 5
\end{array}</expression>
    <id type="integer">106</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-10T16:04:50Z</updated-at>
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  <formula>
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    <expression>y &amp;</expression>
    <id type="integer">107</id>
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    <label nil="true"></label>
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  <formula>
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    <description></description>
    <digest>45a102fe38b6a1b7d7f3b9cc8ecb5a23</digest>
    <expression>x=y-2^{\log_e{\frac{3}{2}\pi{}t}}</expression>
    <id type="integer">108</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-10T16:16:18Z</updated-at>
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  <formula>
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    <description></description>
    <digest>6ef9974b9e5966e10f9ea94d8e2f076e</digest>
    <expression>\newfont{\bg}{cmr9 scaled\magstep4}
A = \left[
\begin{array}{ccc}
1  &amp;     &amp; \smash{\lower1.0ex\hbox{\bg 0}}   \\
     &amp;  \ddots &amp;  \\
\smash{\hbox{\bg 0}}  &amp;         &amp; 1          
\end{array}
\right]</expression>
    <id type="integer">109</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-10T16:37:18Z</updated-at>
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  <formula>
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    <description nil="true"></description>
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    <expression>f(x)=\int_0^{x}g(t)\,dt</expression>
    <id type="integer">110</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label nil="true"></label>
    <updated-at type="datetime">2008-08-11T06:33:20Z</updated-at>
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  <formula>
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    <description></description>
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    <expression>x=y^2+C</expression>
    <id type="integer">111</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-11T12:21:28Z</updated-at>
  </formula>
  <formula>
    <created-at type="datetime">2008-08-11T12:34:21Z</created-at>
    <description></description>
    <digest>3978c46e496fa5c890757f0db9f1060c</digest>
    <expression>\wedgehashedwedge
\cyclohexaneh{2D==O;4GA==H;4==\cyclohexaneh{1==(yl);3D==O;1GA==H}}</expression>
    <id type="integer">112</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-11T12:34:21Z</updated-at>
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  <formula>
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    <description></description>
    <digest>be0c3416996f72e6f87ddb25db61a9b6</digest>
    <expression>\pyranose{1Sa==H;2Sb==H;2Sa==OH;3Sb==H;3Sa==OH;4Sb==HO;%
4Sa==H;5Sb==H;5Sa==CH$_{3}$;%
1Sb==\ryl(8==O){3==%
\steroid{3==(yl);5A==H;8B==H;9A==H;{{10}B}==\lmoiety{OHC};{{14}A}==OH;%
{{13}B}==\lmoiety{H$_{3}$C};{{16}B}==OH;%
{{17}B}==\fiveheterov[e]{3==O}{4D==O;1==(yl)}}}}</expression>
    <id type="integer">113</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-11T12:35:57Z</updated-at>
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  <formula>
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    <description></description>
    <digest>d659fad3ed794485703ad92a8c6a1fcf</digest>
    <expression>\mbox{\XyMTeX}</expression>
    <id type="integer">114</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-11T12:41:00Z</updated-at>
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  <formula>
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    <description nil="true"></description>
    <digest>e17ad52ad14aa7a0ad97167a722c0dc4</digest>
    <expression>\mbox{\LaTeX}</expression>
    <id type="integer">115</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label nil="true"></label>
    <updated-at type="datetime">2008-08-11T13:37:58Z</updated-at>
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  <formula>
    <created-at type="datetime">2008-08-11T16:07:04Z</created-at>
    <description></description>
    <digest>eafdf2c5fc4c471b1ad4b2e6247ee19b</digest>
    <expression>\pyranose{
1Sa==H;1Sb==OH;
2Sb==H;2Sa==OH;
3Sb==OH;3Sa==H;
4Sa==HO;4Sb==H;
5Sa==H;5Sb==CH$\mathrm{_{2}}$OH
}</expression>
    <id type="integer">116</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>beta-D-Glucose</label>
    <updated-at type="datetime">2008-08-11T16:07:04Z</updated-at>
  </formula>
  <formula>
    <created-at type="datetime">2008-08-11T16:11:35Z</created-at>
    <description></description>
    <digest>35f8bba5c2f6013f3b58e7456625ff8a</digest>
    <expression>\begin{picture}(700,1200)
\raisebox{60pt}{
\tetrahedral{0==C;1==CHO;2==H;4==OH;3==\tetrahedral{0==C;1==(yl);2==HO;4==H;3==\tetrahedral{0==C;1==(yl);2==H;4==OH;3==\tetrahedral{0==C;1==(yl);2==H;4==OH;3==CH$\mathrm{_{2}}$OH}}}}}
\end{picture}</expression>
    <id type="integer">117</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>beta-D-Glucose Fischer Projection</label>
    <updated-at type="datetime">2008-08-11T16:14:59Z</updated-at>
  </formula>
  <formula>
    <created-at type="datetime">2008-08-11T16:12:43Z</created-at>
    <description></description>
    <digest>e90382a3e304b3c969a751af35b26a15</digest>
    <expression>\purinev{4==NH$\mathrm{_2}$;6==H;2==H;1==H}</expression>
    <id type="integer">118</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>Adenin</label>
    <updated-at type="datetime">2008-08-11T16:12:43Z</updated-at>
  </formula>
  <formula>
    <created-at type="datetime">2008-08-11T16:19:10Z</created-at>
    <description></description>
    <digest>cd8a8bf82d3d3ccd6910b2e5b3d4e4b2</digest>
    <expression>\furanose{1Sb==\tetrahedral{0==CH$\mathrm{_2}$;2==(yl);4==\tetrahedral{0==P;2==(yl);1D==O;3==O$\mathrm{^{-}}$;4==\tetrahedral{0==O;2==(yl);4==\tetrahedral{0==P;2==(yl);1D==O;3==O$\mathrm{^{-}}$;4==\tetrahedral{0==O;2==(yl);4==\tetrahedral{0==P;2==(yl);1D==O;3==O$\mathrm{^{-}}$;4==O$\mathrm{^{-}}$}}}}}};% 
2Sa==OH;3Sa==OH;% 
4Sb==\purinev[bd]{1==(yl);4==NH$\mathrm{_2}$}}</expression>
    <id type="integer">119</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>Adenosinetriphosphate (aka ATP)</label>
    <updated-at type="datetime">2008-08-11T16:46:25Z</updated-at>
  </formula>
  <formula>
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    <description></description>
    <digest>fd2181d69d21febf0844ccf693fe561d</digest>
    <expression>fs</expression>
    <id type="integer">120</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-12T09:35:41Z</updated-at>
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  <formula>
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    <description></description>
    <digest>3782b9620a3d7bf6248888f7d5193d63</digest>
    <expression>\frac{f(s)}{g(s)}</expression>
    <id type="integer">121</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-12T10:45:38Z</updated-at>
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  <formula>
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    <description></description>
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    <expression>\sqrt{\mathstrut x}+\sqrt{\mathstrut y}</expression>
    <id type="integer">122</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label>Example of \mathstrut</label>
    <updated-at type="datetime">2008-08-12T10:48:48Z</updated-at>
  </formula>
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    <digest>77a2735284865fbdce5e9d44e9be4cda</digest>
    <expression>\int_a^b f(x)d\mu(x)</expression>
    <id type="integer">123</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-12T11:21:00Z</updated-at>
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    <description></description>
    <digest>87a0939f319e6fa5ab69e22d986b2a6e</digest>
    <expression>\mathit{avg}(T)=\frac{1}{|T|}\sum_{t\in{T}}{x(t)}</expression>
    <id type="integer">124</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-12T16:37:31Z</updated-at>
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    <expression>y=\int_i^NG(r-r_i)I(x,y)/\int_i^NI(x,y)dxdy</expression>
    <id type="integer">125</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-12T16:39:17Z</updated-at>
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    <description></description>
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    <expression>\mbox{avg}</expression>
    <id type="integer">126</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-13T04:24:48Z</updated-at>
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    <description></description>
    <digest>c9c3b389a6917389456e6fc56014e9f1</digest>
    <expression>\left|\sum_{i=1}^n a_ib_i\right|
</expression>
    <id type="integer">127</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-13T10:38:49Z</updated-at>
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  <formula>
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    <description></description>
    <digest>2be14935f5e607b24d62fe5dcbce16c1</digest>
    <expression>left|\sum_{i=1}^n a_ib_i\right|</expression>
    <id type="integer">128</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-13T12:21:15Z</updated-at>
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    <description></description>
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    <expression>\sum_{i=1}^N p(X_i)</expression>
    <id type="integer">129</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
    <updated-at type="datetime">2008-08-13T12:52:22Z</updated-at>
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    <description nil="true"></description>
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    <expression>p_i</expression>
    <id type="integer">130</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label nil="true"></label>
    <updated-at type="datetime">2008-08-15T01:02:13Z</updated-at>
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    <description nil="true"></description>
    <digest>04e89bc449a40a1741622474653de2ec</digest>
    <expression>n=16</expression>
    <id type="integer">131</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label nil="true"></label>
    <updated-at type="datetime">2008-08-15T01:02:14Z</updated-at>
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    <description nil="true"></description>
    <digest>3cf829132290354ffd21a8c3e1a4329b</digest>
    <expression>0 &lt; ax + by + cz &lt; 0</expression>
    <id type="integer">132</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label nil="true"></label>
    <updated-at type="datetime">2008-08-15T01:02:14Z</updated-at>
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    <description></description>
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    <expression>8x+5=3</expression>
    <id type="integer">133</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
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    <description nil="true"></description>
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    <expression>
x = y
</expression>
    <id type="integer">134</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label nil="true"></label>
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    <description nil="true"></description>
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    <expression>{}_{x=2y}</expression>
    <id type="integer">135</id>
    <image type="binary" encoding="base64" nil="true"></image>
    <label nil="true"></label>
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    <expression>x+2+\sqrt{x}</expression>
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    <expression>{\rm Ack}(m,n)=\begin{cases}
n+1, &amp; \mbox{if}~m=0\\
{\rm Ack}(m-1,1), &amp; \mbox{if}~n=0\\
{\rm Ack}(m-1,{\rm Ack}(m, n-1)), &amp; \mbox{otherwise}\\
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    <expression>f=x+1+2</expression>
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    <expression>\begin{bmatrix} x_{n} \\ x_{n-1} \\ x_{n-2} \\ \vdots \\
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    = 
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                    1   &amp; 0   &amp; 0   &amp; \cdots &amp; 0      &amp; 0      \\
                    0   &amp; 1   &amp; 0   &amp; \cdots &amp; 0      &amp; 0      \\
                    \vdots&amp;\vdots&amp;\vdots&amp;    &amp;\vdots  &amp; \vdots \\
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      \begin{bmatrix} x_{k-1} \\ x_{k-2} \\ x_{k-3} \\ \vdots \\
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    <expression>\hat{\mathcal{H}}\Psi=E\Psi</expression>
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    <expression>\log_a n=\Theta (\log_b n)</expression>
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    <image type="binary" encoding="base64" nil="true"></image>
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    <expression>D(A+B)=\sqrt{V(A)+V(B)}</expression>
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    <image type="binary" encoding="base64" nil="true"></image>
    <label></label>
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</expression>
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    <image type="binary" encoding="base64" nil="true"></image>
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</expression>
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