EDB — 174

Exercises

1. [174] Prerequisites:[172]↺↻,[0NZ]↺↻.If \(A⊂ ℝ^ n\) is convex, \(x∈ {{A}^\circ }\) and \(z∈ ∂ A\) then the segment that connects them is contained in \({{A}^\circ }\), except possibly for the extreme \(z\) (i.e. \(∀ t∈(0,1), tx+(1-t)z∈ {{A}^\circ }\)).

   Solution 1

   [175]↺↻