Date: Sun, 22 Feb 2009 19:16:30 +0000
Mime-Version: 1.0 (Produced by PhpWiki 1.3.14-20080124)
X-Rcs-Id: $Id$
Content-Type: application/x-phpwiki;
  pagename=Help%2FTeX2pngPlugin;
  flags=PAGE_LOCKED;
  markup=2;
  charset=iso-8859-1
Content-Transfer-Encoding: binary

The *~TeX2png* [[Help:WikiPlugin|plugin]] allows to display mathematical formulae in a Wiki page.

== Usage

{{{
<<TeX2png text="$$(a+b)^n=\sum_{k=0}^n{n\choose k}a^k b^{n-k}$$">>
}}}

gives

<<TeX2png text="$$(a+b)^n=\sum_{k=0}^n{n\choose k}a^k b^{n-k}$$">>

== Arguments
There is only one argument which is the text of the mathematical
expression. This text *must be* enclosed by a dollar $ within a
paragraph or two dollars $$ on a separate line. In the last case,
all is centered.

To write mathematical formulae, the syntax is the one
of [LaTeX | http://www.latex-project.org].

== Caveats

This plugin is only to produce readable mathematical formulae. Any
other text is not allowed : so if an expression is not enclosed by
dollars then it will be displayed by a red text. It is all the same
possible to display raw text as <<TeX2png text="$\textrm{\LaTeX}$">> by using :

{{{
<<TeX2png text="$\textrm{\LaTeX}$">>
}}}

This [[Help:WikiPlugin|plugin]] is not able to produce sophisticated mathematicals texts
with links, cross references... For that, you can use for example
[LaTeX2html|http://www.latex2html.org/].

== Examples

Some Greeks letters : <<TeX2png text="$\alpha$">>, <<TeX2png text="$\beta$">>, ... and a formula <<TeX2png text="$\sum_{i=1}^n \frac1{i^2}=\frac{\pi^2}{6}$">> to test display in a paragraph.

*Exercise 1* Consider the function <<TeX2png text="$$f(x)=(x^2-4x+3)^{1/2}$$">>

#Give the largest real domain for which f(x) is well defined.
#Give a domain on which the function is one-to-one. Using this domain derive a formula for the inverse function <<TeX2png text="$f^{-1}(x)$">>.
#Calculate the derivative f'(x).

*Exercise 2* Consider the function :

<<TeX2png text="$$f(x) = \int_0^x e^{-t^2}\,dt, x\in\mathbb R$$">>

#Show that for all r > 0 :<<TeX2png text="$$\frac{\pi}{2}\int_0^r t  e^{-t^2}\,dt \leq \int_0^r e^{-x^2}\,dx \int_0^r e^{-y^2}\,dy \leq \frac{\pi}{2} \int_0^{\sqrt{2} r} t e^{-t^2}\,dt$$">> *Help* : you can use polar coordinates.
#Hence find the limit of <<TeX2png text="$f(x)$">> as x tends <<TeX2png text="to $\infty$">>.

<noinclude>
----
[[PhpWikiDocumentation]] [[CategoryWikiPlugin]]
</noinclude>