A subset C ⊆ ℝⁿ is convex iff for every x, y ∈ C and λ ∈ [0, 1] the point λx + (1−λ)y lies in C. Equivalently, C contains every line segment joining any two of its points. Convex hulls, separating-hyperplane theorems, and the…
A subset C ⊆ ℝⁿ is convex iff for every x, y ∈ C and λ ∈ [0, 1] the point λx + (1−λ)y lies in C. Equivalently, C contains every line segment joining any two of its points. Convex hulls, separating-hyperplane theorems, and the…