##  [Convex Cone](/convex-cone) 

  ##  [Convex Cone](https://puremath.quantumdictionary.io/convex-cone-0) 

  

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**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A convex cone is a subset C of a real vector space V such that for any x,y in C and any nonnegative scalars α,β ≥ 0, the linear combination αx + βy lies in C; equivalently C is closed under nonnegative linear combinations and contains the zero vector.