View Source: Help/TeX2pngPlugin

! Synopsis Help:WikiPlugin to display mathematical formulae in a Wiki page. ! Usage <verbatim> <?plugin TeX2png text="$$(a+b)^n=\sum_{k=0}^n{n\choose k}a^k b^{n-k}$$" ?> </verbatim> gives <?plugin 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 $$ on a separate line. In the last case, all is centered. To write mathematical formulae, the syntax is the one of [LaTeX | http://www.latex-project.org]. ! Caveats This plugin is only to produce readable mathematical formulae. Any other text is not allowed : so if an expression is not enclosed by dollars then it will be displayed by a red text. It is all the same possible to display raw text as <?plugin TeX2png text="$\textrm{\LaTeX}$" ?> by using : <verbatim> <?plugin TeX2png text="$\textrm{\LaTeX}$" ?> </verbatim> This plugin is not able to produce sophisticated mathematicals texts with links, cross references... For that, you can use for example LaTeX2html. ! Examples Some Greeks letters : <?plugin TeX2png text="$\alpha$" ?>, <?plugin TeX2png text="$\beta$" ?>, ... and a formula <?plugin TeX2png text="$\sum_{i=1}^n \frac1{i^2}=\frac{\pi^2}{6}$" ?> to test display in a paragraph. *Exercise 1* Consider the function <?plugin TeX2png text="$$f(x)=(x^2-4x+3)^{1/2}$$" ?> #Give the largest real domain for which f(x) is well defined. #Give a domain on which the function is one-to-one. Using this domain derive a formula for the inverse function <?plugin TeX2png text="$f^{-1}(x)$" ?>. #Calculate the derivative f'(x). *Exercise 2* Consider the function : <?plugin TeX2png text="$$f(x) = \int_0^x e^{-t^2}\,dt, x\in\mathbb R$$" ?> #Show that for all r > 0 :<?plugin TeX2png text="$$\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 <?plugin TeX2png text="$f(x)$" ?> as x tends <?plugin TeX2png text="to $\infty$" ?>. ----- PhpWikiDocumentation Help:WikiPlugin