Definition:Normalized Weight Function

Definition

Let $S = \left \langle {x_1, x_2, \ldots, x_n}\right \rangle$ be a sequence of real numbers.

Let $W \left({x}\right)$ be a weight function to be applied to the elements of $S$.

Then $W$ is defined as being normalized if:

$\displaystyle \sum_x W \left({x}\right) = 1$