# What are the applications of normalization in math

I know what a normalization of numbers mean in probability. As far as I know; If a=3, b=2,c=1: Then nomalized value of a is 3/(1+2+3), b is 2/(1+2+3) & c is 1/(1+2+3).

But I dont know why do we take normalization and what are some of the applications of it.

Thanks some enlightment is appreciated.

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A typical use is: $c-\sum w_i x_i = \sum w_i(c-x_i)$, which works only if the weights $w_i$ add up to one. Just yesterday I used normalization of weights in this answer: math.stackexchange.com/questions/154254/… –  user31373 Jun 6 '12 at 19:02
so does it somewhat mean to calculate where actually a particular entity stands in a contest? like say how much fraction of a pie does someone take out of a whole. –  uDaY Jun 6 '12 at 19:06