Translation

## You submitted the following TeX

    \documentstyle{article}
    \pagestyle{empty}
    \topmargin=-0.5in
    \textheight=9in
    \begin{document}

    \begin{center}
    {\large\bf Sample Equations}
    \end{center}

    \vspace{.2in}

    \begin{equation}
    x' + y^{2} = z_{i}^{2}
    \end{equation}

    \vspace{.1in}

    \begin{equation}
    -2 \, \ln |x-2| + 3 \, \ln |x-3| + C
    \end{equation}

    \vspace{.1in}

    \begin{equation}
    y = k \, e^{x^2/2} - 1\;\;
    \end{equation}

    \vspace{.1in}

    \begin{equation}
     \frac{dr}{dt} = \frac{1}{\pi}
    \end{equation}
    \begin{equation}
    [-1/\sqrt{3},0] \cup [1/\sqrt{3},+\infty[
    \end{equation}

    \vspace{.1in}

    \begin{equation}
     \frac{\cos x}{2 \sqrt{\sin x}}
    \end{equation}

    \vspace{.1in}

    \begin{equation}
     A = \int_0^1 \frac{\ln(x+1) \,
    \sqrt{x^2 + 2x + 2}}{x + 1} \, dx
    \end{equation}

    \vspace{.1in}

    \begin{equation}
     \frac{1}{2} \int_0^{\pi/3}
    \sin^2 3\theta \; d\theta = \frac{\pi}{12}
    \end{equation}

    \end{document}

    \vspace{.1in}

## TtHMML translated this into:

Sample Equations

x'+ y 2 = z i 2 (1)

-2 ln‖x-2‖+3 ln‖x-3‖+C (2)

y=k e x 2 /2 -1 (3)

dr dt = 1 π (4)
[-1/3,0]∪[1/3,+∞[ (5)

cos x 2 sin x (6)

A=∫0 1 ln(x+1) x 2 +2 x+2 x+1 dx (7)

1 2 ∫0 π/3 sin 2 3 θ d θ= π 12 (8)

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## TtHMML logged the following diagnostics

    Including LaTeX commands
    **** Unknown command \pagestyle, (0 user-defined)
    **** Unknown parameter/dimension/glue command \topmargin=
    **** Unknown parameter/dimension/glue command \textheight=
    No auxiliary LaTeX file found: .aux
    Number of lines processed= 56

(The line count is approximate.)

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