Help with this equation please ....

Please see the link below which has the equation.

http://i.imgur.com/2st6U9Zl.png

Can anyone help explain this equation to me ?

Thanks
that's quite ugly, ¿can you improve it?

Basically you need to sum a portion of a row and scale it according to its length. Then find the maximum of all those partial sums in each row.
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