The concept of a convex set can be introduced in any linear space L. A set K in L is called convex if the line segment ab is contained in K for any elements a, b ∈ K, i.e. \({x_{t}} = \left( {1 - t} \right)a + tb \in K \) for any a, b ∈ K and any t ∈ [0,1].
Keywords
- Convex Hull
- Convex Body
- Convex Cone
- Convex Combination
- Supporting Function
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.