Example image of eyePlorer eyePlorer map for 'Convex conjugate': Legendre transformation Mathematics Adrien-Marie Legendre Werner Fenchel Dual pair Dual space Normed vector space Real number Extended real number line Absolute value Affine transformation Domain of a function Exponential function Power function Cumulative distribution function Closed convex function Epigraph (mathematics) Piecewise linear function Polyhedron Order theory Semi-continuity Convex hull If and only if Proper convex function Linear map Hermitian adjoint Orthogonal matrix Kullback's inequality Fenchel's duality theorem Young's inequality Bregman divergence Effective action Inequalities in information theory Conjugation Convex Convolute Optimal design