Math & Science ⇒ Too long Numerator in several Rows

[ytyyutianyun]

The numerator is too long and I want to put into several rows. How to do this?

For example

Code: Select all

-{\frac {2\, \left( D_{{1,1}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{1,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{1,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) +2\, \left( D_{{1,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}-2\, \left( D_{{1,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{1,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{1,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{2,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}-2\, \left( D_{{2,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) +2\, \left( D_{{2,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{2,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) +2\, \left( D_{{3,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
\mbox{}+ \left( D_{{1,1}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}+ \left( D_{{1,1}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}\\
\mbox{}+2\, \left( D_{{1,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}\\
\mbox{}-2\, \left( D_{{1,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}\\
\mbox{}+ \left( D_{{2,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}+ \left( D_{{2,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}\\
\mbox{}+2\, \left( D_{{2,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}\\
\mbox{}+ \left( D_{{3,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}+ \left( D_{{3,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}\\
\mbox{}}{3\, \left( D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) +3\,D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}\\
\mbox{}+ \left( D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{3}+ \left( D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{3}}}

[kaiserkarl13]

How about this?

Code: Select all

\documentclass{article}
\usepackage{amsmath}
\begin{document}
\begin{gather*}
    -\biggl[ 2\, \left( D_{{1,1}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{1,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{1,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) +2\, \left( D_{{1,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    -2\, \left( D_{{1,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{1,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{1,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{2,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    -2\, \left( D_{{2,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) +2\, \left( D_{{2,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) -2\, \left( D_{{2,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) +2\, \left( D_{{3,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right) D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    + \left( D_{{1,1}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2} \\
    + \left( D_{{1,1}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2} \\
    +2\, \left( D_{{1,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2} \\
    -2\, \left( D_{{1,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2} \\
    + \left( D_{{2,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2} \\
    + \left( D_{{2,2}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2} \\
    +2\, \left( D_{{2,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2} \\
    + \left( D_{{3,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{1}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2} \\
    + \left( D_{{3,3}} \right)  \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}
    \biggr] \Biggl/ \\
    \biggl[3\, \left( D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2}D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right) \\
    + 3\,D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \left( D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{2} \\
   + \left( D_{{2}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{3}+ \left( D_{{3}} \left( f \right)  \left( x+y,z+y,z+x \right)  \right) ^{3}\biggr]
\end{gather*}
\end{document}

By the way, I assume this was an example to demonstrate a point; a real equation that long serves little purpose, as no one is going to take the time to read it!

[ytyyutianyun]

Thanks