Help/TeX2pngPlugin

The TeX2png 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

PhpWiki Warning: (8, Undefined offset: 6, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 5, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 4, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)TeX imagepath not writable.

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.

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
PhpWiki Warning: (8, Undefined offset: 6, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 5, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 4, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)TeX imagepath not writable. by using :

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

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 :
PhpWiki Warning: (8, Undefined offset: 6, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 5, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 4, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)TeX imagepath not writable.,
PhpWiki Warning: (8, Undefined offset: 6, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 5, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 4, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)TeX imagepath not writable., ... and a formula
PhpWiki Warning: (8, Undefined offset: 6, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 5, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 4, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)TeX imagepath not writable. to test display in a paragraph.

Exercise 1

Consider the function:

PhpWiki Warning: (8, Undefined offset: 6, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 5, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 4, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)TeX imagepath not writable.

1. Give the largest real domain for which f(x) is well defined.
2. Give a domain on which the function is one-to-one. Using this domain derive a formula for the inverse function
   PhpWiki Warning: (8, Undefined offset: 6, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
   PhpWiki Warning: (8, Undefined offset: 5, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
   PhpWiki Warning: (8, Undefined offset: 4, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)TeX imagepath not writable..
3. Calculate the derivative f'(x).

Exercise 2

Consider the function:

PhpWiki Warning: (8, Undefined offset: 6, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 5, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
PhpWiki Warning: (8, Undefined offset: 4, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)TeX imagepath not writable.

1. Show that for all r > 0 :
   PhpWiki Warning: (8, Undefined offset: 6, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
   PhpWiki Warning: (8, Undefined offset: 5, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
   PhpWiki Warning: (8, Undefined offset: 4, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)TeX imagepath not writable. Help: you can use polar coordinates.
2. Hence find the limit of
   PhpWiki Warning: (8, Undefined offset: 6, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
   PhpWiki Warning: (8, Undefined offset: 5, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
   PhpWiki Warning: (8, Undefined offset: 4, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)TeX imagepath not writable. as x tends
   PhpWiki Warning: (8, Undefined offset: 6, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
   PhpWiki Warning: (8, Undefined offset: 5, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)
   PhpWiki Warning: (8, Undefined offset: 4, /var/www/phpwiki/lib/plugin/TeX2png.php, 71)TeX imagepath not writable..