##  [Convex Set](/convex-set) 

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

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A subset C of an affine space or vector space such that for every pair of points x,y in C the whole line segment {(1 - t)x + t y : t ∈ [0,1]} is contained in C.