Using LaTeX introduces the LaTeX markup language, and provides highlevel information to get you started using it, and to help you understand its syntax.
Using LaTeXEdit
 Main article: Using LaTeX to format documents
The full LaTeX language is understood by a TeX processor, and can be used to typeset complete documents. A subset of LaTeX for mathematical expressions can be invoked in a wiki using the <math> . . . </math>
tags.
LaTeX languageEdit
 Main article: LaTeX language
The LaTeX language consists of a "preamble" followed by "document text".
Example of a minimal documentEdit
\documentclass{class}
… your preamble goes here …
\begin{document}
… your text goes here …
\end{document}
Continuation linesEdit
Any line can be continued without any special signal to the LaTeX processor. Single "newline" characters are simply ignored, except to end a comment, as described in the next section.
CommentsEdit
The %
character begins a comment. The rest of the line is ignored by the LaTeX processor. For very windy comments, the comment environment, which comes with the verbatim package, can be used, like this:
 \begin{comment} %  multiline comment 
 This text is completely ignored by LaTeX. The ability to have longwinded comments comes from the "`verbatim"' package, which provides the "`comment"' environment.
 \end{comment} %  end multiline comment 
Blank linesEdit
In paragraph mode, the default mode in LaTeX, a blank line ends a paragraph. In math mode, which is entered using using \(
or \[
or by begin
ning one of the math environments, blank lines are not allowed.
LaTeX subset for wikiEdit
 Main article: Using LaTeX in a wiki
In a wiki, LaTeX markup is enclosed by <math> ... </math>
tags.
Using LaTeX on WindowsEdit
 Main article: Using LaTeX on Windows
If you are using the Windows Vista (or Windows 7) operating system, and you want to use LaTeX, and you want to install good software without spending any money, then you can install the open source proTeXt package edit and process LaTeX documents.
LaTeX syntaxEdit
LaTeX consists of
 "symbols" that control the content of rendered text, also introduced by a backslash and possibly having subscripts and superscripts.
 "commands" that control size and positioning of rendered text, introduced by a backslash and possibly having parameters,
LaTeX environmentsEdit
 Main article: LaTeX environment
An "environment" is enclosed by \begin{environmentname}
and \end{environmentname}
. The wiki <math>...</math>
tags create an equation* (unnumbered equation) environment. Several environments listed here are alternatives to the unnumbered equation environment, and cannot be nested inside it, so they can't be used in a wiki.
The following LaTeX markup...  ...results in this:  ...and is used for this purpose: 

\begin{equation}
 (not available in <math>...</math> tags)
 automatically numbered equation; numbers rendered in right margin 
\begin{equation*}
 (not available in <math>...</math> tags)
 unnumbered equation; numbers rendered in right margin 
\begin{equation}\label{mylab}
 (not available in <math>...</math> tags)
 the number of the equation is saved as "mylab", and can be referenced later using \eqref{mylab}

\begin{split}\label{mylab}
 $ \begin{split}\label{mylab} D &= b^2\\ &4ac \end{split} $  for very long equations, splits them across multiple lines of text, aligning them using the ampersand character 
\begin{multline}
 (not available in <math>...</math> tags)
 multline equations 
\begin{gather}
 (not available in <math>...</math> tags)
 to gather equations together; rendered centered on the page 
\begin{align}
 (not available in <math>...</math> tags)
 to align pairs of equations in a table form 
\begin{flalign*}
 (not available in <math>...</math> tags)
 alignment, using the full width of the page 
LaTeX commandsEdit
 Main article: LaTeX commands
LaTeX commands are introduced by a backslash, and possibly have parameters, which might be enclosed in curly braces. Some commands come in pairs, with a beginning command, followed by the stuff that ends up "inside" it, followed by the corresponding ending command.
ParametersEdit
Following \commandname
, or \symbolname
, there may be one or more parameters. Optional parameters are enclosed in square brackets. Required parameters are enclosed in curly braces. The following example shows an extensible right arrow symbol with one optional parameter (rendered below the arrow) and one reuired parameter (rendered above it).
The following LaTeX markup...  ...results in this: 

\xrightarrow[T]{n\pm i1}
 $ \xrightarrow[T]{n\pm i1} $ 
Subscripts and superscriptsEdit
A subscript is denoted by the underscore character (_). A superscript is denoted by the carat (^) character. Just like the parameters of a command, the subscript or superscript can be enclosed in curly braces if it's longer than one symbol.
Subscripts and superscripts of a symbol are rendered either beneath and above the symbol, as in \sum
, or to the right of the symbol, as in \sin
.
For all predefined symbols, LaTeX "knows" how to render the subscripts and superscripts, but for your own custom symbols, you need to tell LaTeX which format to use with the special asterisk operator. Take a look at the \operatorname
in the following table to see how this works.
The following LaTeX markup...  ...results in this: 

\sum_{i=0}^n a_i^2
 $ \sum_{i=0}^n a_i^2 $ 
y = \sin^2(x)
 $ y = \sin^2(x) $ 
\operatorname{first}_{i=0}^n
 $ \operatorname{first}_{i=0}^n $ 
\operatorname*{second}_{i=0}^n
 $ \operatorname*{second}_{i=0}^n $ 
Observe the use of the asterisk in \operatorname*{second}
to tell LaTeX that the limits need to be below and above the operator, as in \lim
, \limsup
, etc.
Examples of commands, subscripts, and superscriptsEdit
The commands, \begin{split}
and \end{split}
form a pair. Each of them takes a parameter, "split", which says what is beginning and ending. The command \frac{numerator}{denominator}
takes two parameters, and has no matching ending command.
The following LaTeX markup...  ...results in this: 

\begin{split} a& =b+cd\\ & \quad +ef\\ & =g+h\\ & =i \end{split}  $ \begin{split} a& =b+cd\\ & \quad +ef\\ & =g+h\\ & =i \end{split} $ 
\frac{numerator}{denominator}
 $ \frac{numerator}{denominator} $ 
\lim_{x\to 0^+} \frac{\sin^2(x)}{x}
 $ \lim_{x\to 0^+} \frac{\sin^2(x)}{x} $ 