le of the distance to a convex set.";
                    case 3:
                        return "The text proves that for a convex function \\( f : D \\to \\mathbb{R} \\), where \\( D \\subseteq \\mathbb{R}^d \\) is convex, any local minimizer of \\( f \\) over \\( D \\) is also a global minimizer over \\( D \\).";
                    case 4:
                        return "The text states and proves the first-order optimality condition for convex functions on \\( \\mathbb{R}^d \\): if \\( f : \\mathbb{R}^