Convexity Quotes

The very sun of heaven seemed distorted when viewed through the polarising miasma welling out from this sea-soaked perversion, and twisted menace and suspense lurked leeringly in those crazily elusive angles of carven rock where a second glance shewed concavity after the first shewed convexity. Something very like fright had come over all the explorers before anything more definite than rock and ooze and weed was seen. (H. P. Lovecraft)
He lies on top of her, sweating, taking great breaths, watching her face turned 3/4 away, not even a profile, but the terrible Face That is No Face, gone too abstract, unreachable: the notch of the eye socket, but never the labile eye, only the anonymous curve of cheek, convexity of mouth, a noseless mask of the Other Order of Being, of Katje's being - the lifeless non-face that is the only face of hers he really knows, or will ever remember. View quote
Thomas Pynchon
A fuzzy set is a class of objects with a continuum of grades of membership. Such a set is characterized by a membership (characteristic) function which assigns to each object a grade of membership ranging between zero and one. The notions of inclusion, union, intersection, complement, relation, convexity, etc., are extended to such sets, and various properties of these notions in the context of fuzzy sets are established. In particular, a separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint. View quote
Lotfi A. Zadeh
The price-tax conditions necessary to sustain the Pareto optimality of a competitive market solution under the assumed convexity conditions are tantamount to standard Pigovian rules, with neither taxes imposed upon, nor compensation paid to, the victims of externalities. View quote
William J. Baumol