TestPageForCommand < Main

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---+ Please use this page to test Twiki Command

%TOC%
---++ Image Gallery Plugin

%IMAGEGALLERY{columns="4" limit="70" size="huge" }% There are %NRIMAGES{}% images in this page<br /><br />

---++ Action Items Plugin

%ACTION{ created="2016-04-01" creator="Main.KojiNakamura" due="2017-02-10" notify="" state="open" uid="000039" who="Main.KojiNakamura" }% Write Master thersis %ENDACTION%
---++ Latex Plugin

This is an example of the %BEGINLATEX{inline="1" density="200" gamma="1.0" color="Purple"}%\LaTeX%ENDLATEX% rendering possibilities using the [[http://www.twiki.org/cgi-bin/view/Plugins/LatexModePlugin][LatexModePlugin]].

The singular value decomposition of a matrix %$A$% is defined as %BEGINLATEX{label="one" color="Green"}% \begin{displaymath} A = U \Sigma V^H \end{displaymath} %ENDLATEX% where %$U$% and %$V$% are both matrices with orthonormal columns, %$\{\cdot\}^H$% indicates a complex-conjugate transpose, and %$\Sigma$% is a diagonal matrix with singular values %\[ \sigma_1 &gt; \sigma_2 &gt; \cdots &gt; \sigma_n \geq 0 \]% along the main diagonal. Eq. %REFLATEX{one}% is just one of the many matrix decompositions that exists for matrix %$A$%.

---++ Math Plugin

The following will only display correctly if this plugin is installed and configured correctly.

<latex title="this is an example">
  \int_{-\infty}^\infty e^{-\alpha x^2} dx = \sqrt{\frac{\pi}{\alpha}}
</latex>

\int_{-\infty}^\infty e^{-\alpha x^2} dx = \sqrt{\frac{\pi}{\alpha}}

<latex>
  {\cal P} & = & \{f_1, f_2, \ldots, f_m\} \\
  {\cal C} & = & \{c_1, c_2, \ldots, c_m\} \\
  {\cal N} & = & \{n_1, n_2, \ldots, n_m\}
</latex>

{\cal P} & = & \{f_1, f_2, \ldots, f_m\} \ {\cal C} & = & \{c_1, c_2, \ldots, c_m\} \ {\cal N} & = & \{n_1, n_2, \ldots, n_m\}

<latex title="Calligraphics" color="orange">
  \cal
  A, B, C, D, E, F, G, H, I, J, K, L, M, \\
  \cal
  N, O, P, Q, R, S, T, U, V, W, X, Y, Z
</latex>

\cal A, B, C, D, E, F, G, H, I, J, K, L, M, \ \cal N, O, P, Q, R, S, T, U, V, W, X, Y, Z

<latex>
  \sum_{i_1, i_2, \ldots, i_n} \pi * i + \sigma
</latex>

\sum_{i_1, i_2, \ldots, i_n} \pi * i + \sigma

-- %USERSIG{KojiNakamura - 2016-04-01}%

Attachments

Topic attachments
I	Attachment	History	Action	Size	Date	Who
jpg	DSC_0783.JPG	r1	manage	3168.9 K	2016-04-01 - 05:28	KojiNakamura
jpg	DSC_1033.JPG	r1	manage	4139.9 K	2016-04-01 - 05:27	KojiNakamura
jpg	DSC_1209.JPG	r1	manage	3897.5 K	2016-04-01 - 05:27	KojiNakamura

Topic revision: r4 - 2017-09-25 - KojiNakamura