A convex curve is a type of curve in mathematics that has the property that any line segment drawn between two points on the curve lies entirely within or on the curve itself. This means that if you take any two points on the curve and connect them with a straight line, the entire line segment will not cross outside of the curve. Key properties of convex curves include: 1. **Non-Concavity**: A convex curve does not curve inward at any point. Instead, it always bows outward.

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