Quer·mass·integrals define mixed volumes of sets with this property via Steiner’s formula. A Fréchet space is a topological vector space that locally has this property. If the objective function and feasible region both have this property, a program may be put in conic form. A set has this property if it is star-shaped around every point. Smooth functions with this property have a positive semi-definite Hessian and satisfy (*) Jensen’s inequality. Any two points in a set with this property may be connected by a line segment entirely contained in the set, and adding all such lines to the set generates this property’s namesake “hull.” A function locally has this property where its second derivative is positive. For 10 points, name this property of polygons whose internal angles are less than 180 degrees, contrasted with concave. ■END■
ANSWER: convexity [or concave upward; accept strictly convex]
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