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Math Help - just testing

  1. #46
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    Test

    \int^\frac{\pi}{4} _0 \cos(4x)
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  2. #47
    MHF Contributor Drexel28's Avatar
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    \underset{\smile}{\text{. .}}
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  3. #48
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    Quote Originally Posted by Drexel28 View Post
    \underset{\smile}{\text{. .}}
    . . . . . . . . . . \setbox0=\hbox{$\text{o o} \atop\displaystyle \smile$}\dimen0=\wd0 \divide\dimen0 by 2<br />
\advance\dimen0 by -12pt \lower2pt\hbox <br />
to0pt{\kern\dimen0\Huge$\bigcirc$\hss}\box0

    (A few years ago, I had to develop a macro for putting a circle round an expression, when I was teaching a course on games theory. The solutions sheets for the homework exercises had to include things like \begin{bmatrix}1&\framebox[1.25em]{$-1$}&\setbox0=\hbox{$-3$}\dimen0=\wd0 \divide\dimen0 by 2<br />
\advance\dimen0 by -8.5pt \lower0.6pt\hbox to0pt{\kern\dimen0\Large$\bigcirc$\hss}\box0\,\\ \,\fbox{2}&\setbox0=\hbox{$-2$}\dimen0=\wd0 \divide\dimen0 by 2<br />
\advance\dimen0 by -8.5pt \lower0.6pt\hbox <br />
to0pt{\kern\dimen0\Large$\bigcirc$\hss}\box0&\fbox  {3}\end{bmatrix}.)
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  4. #49
    Moo
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    Haha the last 2 are nice ones !

    Hmmm \textcircled{L}\textcircled{e}\textcircled{t}\text  circled{t}\textcircled{e}\textcircled{r} ~ \textcircled{b}\textcircled{y} ~\textcircled{l}\textcircled{e}\textcircled{t}\tex  tcircled{t}\textcircled{e}\textcircled{r}
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  5. #50
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    Quote Originally Posted by Moo View Post
    Haha the last 2 are nice ones !

    Hmmm \textcircled{L}\textcircled{e}\textcircled{t}\text  circled{t}\textcircled{e}\textcircled{r} ~ \textcircled{b}\textcircled{y} ~\textcircled{l}\textcircled{e}\textcircled{t}\tex  tcircled{t}\textcircled{e}\textcircled{r}
    If I had known about the \textcircled command, it would have saved me a lot of work! (I don't believe it featured in earlier versions of LaTeX.)
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  6. #51
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    just testing

    <br />
\frac{\sin} {\cos} = \tan<br />
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  7. #52
    Member integral's Avatar
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    \overset{\begin{array} {c} \color{red} \blacktriangle \end{array}}\sum^{\frac{dx}{dy}x^3}_{love} \frac{\left [ \left ( -1 \right ) x^{2n+1} \right ]}{\left ( 2n+1 \right )!}



    It is my summation of love...
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  8. #53
    Super Member Bacterius's Avatar
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    \prod_{n = 0}^{+\infty} \frac{\varphi{(n)}}{\ln{(n)}} + \epsilon

    Just messing around ...
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  9. #54
    MHF Contributor Drexel28's Avatar
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    \begin{matrix}\Omega\times\Omega & \xrightarrow[\quad\quad\quad]{\alpha} & \Omega\\ ^{\pi\times\pi}\bigg\downarrow & & \bigg\downarrow ^{\pi} \\ \text{Top }\Omega\times\text{Top }\Omega & \xrightarrow[\quad\quad\quad]{\overset{\sim}{\alpha}} & \text{Top }\Omega\end{matrix}
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  10. #55
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    Quote Originally Posted by Drexel28 View Post
    \begin{matrix}\Omega\times\Omega & \xrightarrow[\quad\quad\quad]{\alpha} & \Omega\\ ^{\pi\times\pi}\bigg\downarrow & & \bigg\downarrow ^{\pi} \\ \text{Top }\Omega\times\text{Top }\Omega & \xrightarrow[\quad\quad\quad]{\overset{\sim}{\alpha}} & \text{Top }\Omega\end{matrix}
    Nice! The only improvement I can suggest is a little tweak to lower the \pi beside the right-hand vertical arrow:

    \begin{matrix}\Omega\times\Omega & \xrightarrow[\quad\quad\quad]{\alpha} & \Omega\\ ^{\pi\times\pi}\bigg\downarrow & & \bigg\downarrow {}^{\pi} \\ \text{Top }\Omega\times\text{Top }\Omega & \xrightarrow[\quad\quad\quad]{\overset{\sim}{\alpha}} & \text{Top }\Omega\end{matrix}
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  11. #56
    Super Member Bacterius's Avatar
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    Quote Originally Posted by Drexel28 View Post
    \begin{matrix}\Omega\times\Omega & \xrightarrow[\quad\quad\quad]{\alpha} & \Omega\\ ^{\pi\times\pi}\bigg\downarrow & & \bigg\downarrow ^{\pi} \\ \text{Top }\Omega\times\text{Top }\Omega & \xrightarrow[\quad\quad\quad]{\overset{\sim}{\alpha}} & \text{Top }\Omega\end{matrix}
    Interesting diagram, although the horizontal lines look a bit jagged and blurred on my computer, anyone got the same artifact ?
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  12. #57
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by Opalg View Post
    Nice! The only improvement I can suggest is a little tweak to lower the \pi beside the right-hand vertical arrow:

    \begin{matrix}\Omega\times\Omega & \xrightarrow[\quad\quad\quad]{\alpha} & \Omega\\ ^{\pi\times\pi}\bigg\downarrow & & \bigg\downarrow {}^{\pi} \\ \text{Top }\Omega\times\text{Top }\Omega & \xrightarrow[\quad\quad\quad]{\overset{\sim}{\alpha}} & \text{Top }\Omega\end{matrix}
    Yeah, I meant to lower it. Thanks for the tip!

    Do you have any idea how to do triangular diagrams with this? I can't figure out how to make it nice. One of my main problems is that [tex]\bigg\searrow[/tex] produces \bigg\searrow

    Quote Originally Posted by Bacterius View Post
    Interesting diagram, although the horizontal lines look a bit jagged and blurred on my computer, anyone got the same artifact ?
    Yeah, I'm not sure
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  13. #58
    MHF Contributor Drexel28's Avatar
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    \varphi(x)=\prod_{z\in\mathbb{C}}(x-z)\overset{?}{=}0
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  14. #59
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    Quote Originally Posted by Drexel28 View Post
    \begin{matrix}\Omega\times\Omega & \xrightarrow[\quad\quad\quad]{\alpha} & \Omega\\ ^{\pi\times\pi}\bigg\downarrow & & \bigg\downarrow ^{\pi} \\ \text{Top }\Omega\times\text{Top }\Omega & \xrightarrow[\quad\quad\quad]{\overset{\sim}{\alpha}} & \text{Top }\Omega\end{matrix}
    Looking at this again, I can see another way in which it needs tweaking. Ideally, the vertical arrow on the left should be aligned with the product signs above and below it; and the vertical arrow on the right should similarly be aligned under the \Omega above it. You can achieve that quite easily by using the \llap and \rlap commands. These produce boxes of zero width whose contents overlap to the left or right respectively.

    \begin{matrix}\Omega\times\Omega & \xrightarrow[\quad\quad\quad]{\alpha} & \Omega\\ \llap{$\scriptstyle\pi\times\pi$}\bigg\downarrow & & \bigg\downarrow\rlap{$\scriptstyle\pi$} \\ \text{Top }\Omega\times\text{Top }\Omega & \xrightarrow[\quad\quad\quad]{\overset{\sim}{\alpha}} & \text{Top }\Omega\end{matrix}

    Quote Originally Posted by Bacterius View Post
    Interesting diagram, although the horizontal lines look a bit jagged and blurred on my computer, anyone got the same artifact ?
    Yes, that is an artefact caused by the fact that TeX does not have ready-made glyphs for long horizontal arrows. Instead, it constructs them on the fly by joining a sequence of short dashes to an arrowhead. The effect on the screen looks a bit uneven, though the printed version would probably be smoother.
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  15. #60
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    Quote Originally Posted by Drexel28 View Post
    \varphi(x)=\prod_{z\in\mathbb{C}}(x-z)\overset{?}{=}0
    Overset huh? Been looking for that a while now. Thanks.
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