View Source: Help/TeX2pngPlugin

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 $$ on a separate line. In the last case, all is centered. To write mathematical formulae, the syntax is the one of [[http://www.latex-project.org|LaTeX]]. == Caveats == This plugin is only to produce readable mathematical formulae. Any other text is not allowed: so if an expression is not enclosed by dollars then it will be displayed by a red text. It is all the same possible to display raw text as <<TeX2png text="$\textrm{\LaTeX}$">> by using: {{{ <<TeX2png text="$\textrm{\LaTeX}$">> }}} This [[Help:WikiPlugin|plugin]] is not able to produce sophisticated mathematicals texts with links, cross references... For that, you can use for example [[http://www.latex2html.org/|LaTeX2html]]. == Examples == Some Greeks letters: <<TeX2png text="$\alpha$">>, <<TeX2png text="$\beta$">>, ... and a formula <<TeX2png text="$\sum_{i=1}^n \frac1{i^2}=\frac{\pi^2}{6}$">> to test display in a paragraph. === Exercise 1 === Consider the function: <<TeX2png text="$$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 to <<TeX2png text="$\infty$">>. == See Also == * [[Help:TexToPngPlugin]] * [[Help:text2pngPlugin]] <noinclude> ---- [[PhpWikiDocumentation]] [[CategoryWikiPlugin]] </noinclude>