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Opposite of concave . A geometric shape is convex if all its edges point outwards. That is no part of it curves or faces inwards. If a shape is convex, a line segment drawn between any two points on the shape will always lie inside the shape. The figure above is a convex pentagon. No part of it is caved in and any line segment, such as the red one shown, linking two points on it always lies inside the shape. See also Concave definition.
Here are all the possible meanings and translations of the word convex set. Wiktionary(0.00 / 0 votes)Rate this definition: convex set(Noun) A set which contains any convex combination of any (finite) subset of its points. Freebase(0.00 / 0 votes)Rate this definition: In Euclidean space, an object is convex if for every pair of points within the object, every point on the straight line segment that joins them is also within the object.