playground:playground

The wiki page is under active construction, expect bugs.
This page is read only. You can view the source, but not change it. Ask your administrator if you think this is wrong.
====== PlayGround ======

Unordered list:
  * Unordered List Item
  * Unordered List Item 2
  * Unordered List Item 3

Ordered list:
  * Ordered List Item
  * Ordered List Item 2
  * Ordered List Item 3


====== LaTeX (MathJax) ======
If you want to use inline MathJax, write the code inside ''%%<mjax></mjax>%%'' blocks.
<mjax>
a^2 + b^2 = c^2
</mjax>

Or you can use LaTeX's ''%%\begin{align*}%%'' or similar tags

\begin{align*}
e^x & = 1 + x + \frac{x^2}{2} + \frac{x^3}{6} + \cdots \\
    & = \sum_{n\geq 0} \frac{x^n}{n!}
\end{align*}

\begin{align*}
\mathcal{L}_{\text{SM}} =
-\frac{1}{4} F_{\mu\nu}^a F^{\mu\nu a}
+ \bar{\psi}_i \left( i \gamma^\mu D_\mu - m_i \right) \psi_i
+ \left( D_\mu \phi \right)^\dagger \left( D^\mu \phi \right)
- \lambda \left( \phi^\dagger \phi - \frac{v^2}{2} \right)^2
- \sum_{i,j} \left( y_{ij} \bar{\psi}_i \phi \psi_j + \text{h.c.} \right).
\end{align*}

You can write display math into bold ''%%<MJAX></MJAX>%%'' blocks.

Typeset mathematics contained inline (within) with the text of a paragraph needs to
take less space than the same math typeset outside the paragraph text as standalone,
display-style, material. To see this in practice, let’s explain that the equation 
<mjax>f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x}</mjax> may diverge or converge depending on the
value of <mjax>x</mjax>. We can also typeset <mjax>f(x)</mjax> outside the paragraph in display style:

<MJAX>f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x}</MJAX>


====== KaTeX ======
KaTeX is faster to render then MathJax, you can write inline code like $f(\xi) = \xi^2$ by using ''%%$f(\xi) = \xi^2$%%''.

The display math is done using ''%%$$f(\zeta)$$%%''.

$$i \hbar \frac{\partial}{\partial t}\Psi(\mathbf{r},t) = \hat H \Psi(\mathbf{r},t)$$

$$ e^x = 1 + x + \frac{x^2}{2} + \frac{x^3}{6} + \cdots = \sum_{n \geq 0} \frac{x^n}{n!} $$

$$
\mathcal{L}_{\text{SM}} =
-\frac{1}{4} F_{\mu\nu}^a F^{\mu\nu a}
+ \bar{\psi}_i \left( i \gamma^\mu D_\mu - m_i \right) \psi_i
+ \left( D_\mu \phi \right)^\dagger \left( D^\mu \phi \right)
- \lambda \left( \phi^\dagger \phi - \frac{v^2}{2} \right)^2
- \sum_{i,j} \left( y_{ij} \bar{\psi}_i \phi \psi_j + \text{h.c.} \right).
$$

Typeset mathematics contained inline (within) with the text of a paragraph needs to
take less space than the same math typeset outside the paragraph text as standalone,
display-style, material. To see this in practice, let’s explain that the equation 
$f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x}$ may diverge or converge depending on the
value of $x$. We can also typeset $f(x)$ outside the paragraph in display style:

$$f(x) = \sum_{i=0}^{n} \frac{a_i}{1+x}$$


====== TikZJax ======
LaTeX code with TikZ should be placed inside ''%%<tikzjax></tikzjax>%%''

<tikzjax>
\begin{document}
\begin{tikzpicture}
    \draw (0,0) circle (1in);
  \end{tikzpicture}
  \end{document}
</tikzjax>

<tikzjax>
\usetikzlibrary{cd}
\begin{document}

\begin{tikzcd}
    A \arrow[r, "\phi"] \arrow[d, red]
      & B \arrow[d, "\psi" red] \\
    C \arrow[r, red, "\eta" blue]
      & |[blue, rotate=-15]| D
  \end{tikzcd}
  
\end{document}

</tikzjax>

<tikzjax>
%from https://github.com/knedl1k/B4B01JAG
\usetikzlibrary{automata, positioning, arrows, calc}

\begin{document}


\tikzset{
->, % makes the edges directed
>=stealth', % makes the arrow heads bold
node distance=3cm, % specifies the minimum distance between two nodes. Change if necessary.
every state/.style={thick, fill=gray!10}, % sets the properties for each ’state’ node
initial text=$ $, % sets the text that appears on the start arrow
between/.style args={#1 and #2}{
         at = ($(#1)!0.5!(#2)$)
    },
}

\begin{tikzpicture}
            \node[state, initial] (0) {$q_0$};
            \node[state, right of=0] (1) {$q_1$};
            \node[state, accepting, right of=1] (f) {$q_f$};
        
            \draw
                (0) edge[loop above] node[align=center]{$a, Z_0 / A Z_0$ \\ $a, A / AA$} (0)
                (0) edge[bend left, above] node{$b, Z_0 / Z_0$} (1)
                (0) edge[bend left, below] node{$b, A / A$} (1)
                (1) edge[loop above] node[align=center]{$a, Z_0 / Z_0$\\$b, Z_0, Z_0$} (1)
                (1) edge[loop below] node[align=center]{$a, A/AA$ \\ $b, B /BB$ \\ $a,B / \varepsilon$ \\ $b,A/\varepsilon$} (1)
                (1) edge[bend left, above] node{$\varepsilon, Z_0 / \varepsilon$} (f)
      
                ;
      \end{tikzpicture}

\end{document}
</tikzjax>

====== Flashcards ======

You can add a flash card training set by doing:

<flashcards heading="My Custom Quiz" subtext="Select the correct answers." skiptext="Pass", defaultnum="5">
<questions>
Question 1
* answer 1
- answer 2
- answer 3
---
Question 2
- answer 1
* answer 2
- answer 3
- answer 4
- answer 5
---
Question 3
- answer 1
- answer 2
* answer 3
- answer 4
</questions>
</flashcards>

====== Markdown ======
<markdown>
[test](https://oiwiki.swpelc.eu/doku.php?id=playground:playground)
```python
def f(x):
  return x**2
```
</markdown>

====== Codedoc ======
<codedoc code> 
 <codedoc toggle description> 
 test1
 </codedoc>
 <codedoc toggle description> 
  test2
 </codedoc>
</codedoc>

<codedoc code:python> 
import numpy as np
a = np.array([1, 2, 3])
b = a ** 2
print(f"sum: {np.sum(b)}")
</codedoc>

====== Annotations ======
<anno:num>text</anno><@anno:num>annotation</@anno>    
<anno:num>text</anno><@anno:[num;;class_name]>annotation</@anno>
Trace: • b4b36sin • b4b38nvs • b4b01dma • b4b01jag
Search

Navigation

Print/export

Tools

QR Code
