Given a finite number of vectors x 1, x 2, …, x n {\displaystyle x_{1},x_{2},\dots,x_{n}} in a real vector space, a conical combination, conical sum, or weighted sum of these vectors is a vector of the form α 1 x 1 + α 2 x 2 + ⋯ + α n x n {\displaystyle \alpha _{1}x_{1}+\alpha _{2}x_{2}+\cdots +\alpha _{n}x_{n}} where α i {\displaystyle \alpha _{i}} are non-negative real numbers. Wikipedia