OK, let's see. There is a button "mathematical equation" (the one with the radical). It produces:

(1)Great! I can do LaTeX in here.

(2)Nice. Can I do more complex stuff? Like tables?

(3)Yep. Now how about matrices?

(4)This all works fine. There also is a button "inline mathematical expression" (the one with x/2). It produces: $insert LaTeX equation here$. OK, here we go: $P^{V}\longmapsto\{\omega\in\Sigma(V)\ |\ \omega(P^{V})=1\}$.

The next one, "equation reference" (the one with Eq. (n)), just gives me the message "Sorry, no labelled equations found", even if I use \label{xyz} in one of the equations above. Must find out how this works sometime. Anyway, the equations are automatically numbered, so referencing should be no problem.

Finally, let's try some logical symbols:

(5)That's nice. And of course, we need a footnote^{1} ;-)

This is all nice and easy. Have fun!