epäkonveksinen

Epäkonveksinen is a Finnish adjective that translates to "non-convex" in English. It is primarily used in mathematics and geometry to describe shapes or sets that do not possess the property of convexity. A convex set is defined as a set where for any two points within the set, the line segment connecting those two points is entirely contained within the set. In contrast, a non-convex set is one where at least one such line segment lies partially or entirely outside the set.

Examples of non-convex shapes include stars, crescent moons, and any shape with indentations or holes. In optimization, non-convex functions are functions where the objective function is non-convex, making optimization problems more challenging as they can have multiple local minima that are not global minima. Understanding the concept of non-convexity is crucial in various fields, including computer graphics, artificial intelligence, and engineering, for accurate representation and analysis of shapes and problem spaces.