Useful Examples

To Edit Sidebar (as admin only!!!)

Go to MediaWiki:Sidebar

To write some LateX

See e.g. LMDZPedia And check out this page in "edit" mode! $$\newcommand{\Re}{\mathrm{Re}\,} \newcommand{\pFq}[5]{{}_{#1}\mathrm{F}_{#2} \left( \genfrac{}{}{0pt}{}{#3}{#4} \bigg| {#5} \right)}$$

We consider, for various values of $$s$$, the $$n$$-dimensional integral \begin{align} \label{def:Wns} W_n (s) &:= \int_{[0, 1]^n} \left| \sum_{k = 1}^n \mathrm{e}^{2 \pi \mathrm{i} \, x_k} \right|^s \mathrm{d}\boldsymbol{x} \end{align} which occurs in the theory of uniform random walk integrals in the plane, where at each step a unit-step is taken in a random direction. As such, the integral \eqref{def:Wns} expresses the $$s$$-th moment of the distance to the origin after $$n$$ steps.

By experimentation and some sketchy arguments we quickly conjectured and strongly believed that, for $$k$$ a nonnegative integer \begin{align} \label{eq:W3k} W_3(k) &= \Re \, \pFq32{\frac12, -\frac k2, -\frac k2}{1, 1}{4}. \end{align}

Appropriately defined, \eqref{eq:W3k} also holds for negative odd integers. The reason for \eqref{eq:W3k} was long a mystery, but it will be explained at the end of the paper.

Miscellaneous

• HTML like syntax works! e.g. comments with

 <!-- This is a comment in the page -->
 which you see because between "pre" tags

• Some special features:

Link to the internal page with all special features: Special:Version

• Examples of Syntax Highlighting:

Some Fortran Code:

1 program truc
2 implicit none
3 integer :: i
4 do i=1,10
5   write(*,*) "i=",i," for each hello planeto world"
6 end do
7 end program

Some Python Code:

1 import numpy
2 import matplotlib as plt
3 for i in range(0,5,1):
4  print('hello planeto world")
5 plt.show()

Some bash code:

1 echo 'hello planeto world'

How to create a new page

1. Look for it via the searh bar! Advice: you should use CamelCase formating (and/or _ between words) as this page name will end up also being the title of the page (with "_" replaced by spaces)
2. Make a link to that page from a currently existing page, and when you click on that like the system will ask you if you want to create the page

Link to the LMD Generic GCM user manual

https://web.lmd.jussieu.fr/~lmdz/planets/LMDZ.GENERIC/ManualGCM_GENERIC.pdf

or even better, the one on the trac which is what is on svn and thus will always be up to date: https://trac.lmd.jussieu.fr/Planeto/browser/trunk/LMDZ.GENERIC/ManualGCM_GENERIC.pdf