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Conical hull

Given a finite number of vectors x1,x2,…,xn{\displaystyle x_{1},x_{2},\dots ,x_{n}} in a realvector space, a conical combination, conic combination, conical sum, or weighted sum of these vectors is a vector of the form α1x1+α2x2+⋯+αnxn{\displaystyle \alpha _{1}x_{1}+\alpha _{2}x_{2}+\cdots +\alpha _{n}x_{n}}where αi{\displaystyle \alpha _{i}} are non-negative real numbers.

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