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<p>where all <a href="page.php?w=coefficients">coefficients</a> are <a href="page.php?w=non-negative">non-negative</a> and sum to 1. In other words, the operation is equivalent to a standard <a href="page.php?w=weighted_average">weighted average</a>, but whose weights are expressed as a percent of the total weight, instead of as a fraction of the count of the weights as in a standard weighted average.</p>

<p><big> Formal definition </big></p>
<p>More formally, given a finite number of points  in a <a href="page.php?w=real_vector_space">real vector space</a></p><p>
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