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Convex combination
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<p>In <a href="/facts/Convex_geometry/tT3JL47B">convex geometry</a> and <a href="/facts/Vector_space/M1pxMLx2">vector algebra</a>, a convex combination is a <a href="/facts/Linear_combination/CVjL6kuN">linear combination</a> of <a href="/facts/Point_(geometry)/6YPAvX2a">points</a> (which can be <a href="/facts/Vector_(geometric)/bCLrdksy">vectors</a>, <a href="/facts/Scalar_(mathematics)/MkDbA4Eo">scalars</a>, or more generally points in an <a href="/facts/Affine_space/tlvI3oX1">affine space</a>) where all <a href="/facts/Coefficients/5Hwq2Wuq">coefficients</a> are <a href="/facts/Non-negative/z0xollg1">non-negative</a> and sum to 1. In other words, the operation is equivalent to a standard <a href="/facts/Weighted_average/VHyJfPxb">weighted average</a>, but whose weights are expressed as a percent of the total weight, instead of as a fraction of the <i>count</i> of the weights as in a standard weighted average. </p>