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Non-convex is also referred to as concave. Convex and non-convex both define the types of curvature. Convex defines the curvature that extends outwards or bulges out. On the other hand, non-convex defines a curvature that extends or bends inward. Thus, the extension of the curve is used to differentiate between the two forms. Convex and non-convex are often used as adjectives to define the entities associated with the shape or curve defined by them.
convex. adj. 1. curving or bulging outwards. 2. (General Physics) physics having one or two surfaces curved or ground in the shape of a section of the exterior of a sphere, paraboloid, ellipsoid, etc: a convex lens. 3. (Mathematics) maths (of a polygon) containing no interior angle greater than 180Â°.