For Convex we have terms and definitions in 5 topics. The topics are Finance, International Economics, Real Time 3D, Wind Energy and Woodworking.

Curved, as in the shape of the outsid of a circle. Usually referring to the price/required yield relationship for option-free bonds.
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1. Said of a curve that bulges toward some reference point, usually the horizontal axis or the origin of a diagram. More formally, a curve is convex from below (or convex to something below it) if all straight lines connecting points on it lie on or above it. Contrasts with concave.
2. Said of a set that contains all straight line segments joining points within it.
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A certain kind of shape, without indentations, opposite of concave. If any two points can be connected by a line that goes outside the shape, the shape is not convex. The letter O is a convex shape. An uncut watermelon is a convex shape-- anytime you draw a straight line between two seeds, you're still inside the watermelon.
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A surface curved like the exterior of a circle or sphere.
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An outward-curving shape. (i.e. my belly :-)
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