Editing Convex combination (section)

== Related constructions ==
{{Details|Linear combination#Affine, conical, and convex combinations}}
* A [[conical combination]] is a linear combination with nonnegative coefficients. When a point <math>x</math> is to be used as the reference origin for defining [[Displacement (vector)|displacement vectors]], then <math>x</math> is a convex combination of <math>n</math> points <math>x_1, x_2, \dots, x_n</math> if and only if the zero displacement is a non-trivial [[conical combination]] of their <math>n</math> respective displacement vectors relative to <math>x</math>.
* [[Weighted mean]]s are functionally the same as convex combinations, but they use a different notation. The coefficients ([[weight function|weights]]) in a weighted mean are not required to sum to 1; instead the weighted linear combination is explicitly divided by the sum of the weights.
* [[Affine combination]]s are like convex combinations, but the coefficients are not required to be non-negative. Hence affine combinations are defined in vector spaces over any [[field (mathematics)|field]].