CONVEXEDNESS Meaning and
Definition
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Convexedness refers to the quality or state of being convex. Convexity is a geometric property of a shape or surface characterized by the property that every line segment connecting any two points within the shape lies entirely within the shape or on its boundary. In other words, a shape is considered convex if and only if it does not have any indentations or "dips" that can cause a line segment connecting two points to cross or go outside of the shape.
Convexedness can be thought of as the degree of convexity exhibited by a shape or surface. It is a measure of how strongly a shape adheres to the characteristics of convexity. A shape with high convexedness would have a surface that curves outwards uniformly, creating a noticeably rounded or bulging appearance. On the other hand, a shape with low convexedness would have a surface that deviates from convexity, potentially displaying indentations or concave regions.
Convexedness is an important concept in various fields, including mathematics, physics, computer science, and engineering. It is frequently used in the study of optimization problems, as convex optimization is a well-studied and computationally tractable class of problems. Convexedness also plays a significant role in geometry, particularly in the classification and analysis of shapes and surfaces.
Common Misspellings for CONVEXEDNESS
- xonvexedness
- vonvexedness
- fonvexedness
- donvexedness
- cinvexedness
- cknvexedness
- clnvexedness
- cpnvexedness
- c0nvexedness
- c9nvexedness
- cobvexedness
- comvexedness
- cojvexedness
- cohvexedness
- concexedness
- conbexedness
- congexedness
- confexedness
- convwxedness
- convsxedness
Etymology of CONVEXEDNESS
The word "convexedness" is a derivative of the adjective "convex", which comes from the Latin word "convexus". In Latin, "convexus" meant "arched" or "rounded". It is formed by combining the prefix "con-" (which can mean "together" or "with") with the word "vexus", which means "curve". Over time, "convex" in English expanded to describe a shape that is curved outward, like the exterior of a sphere or the upper side of a spoon. The suffix "-edness" is added to "convex" to form "convexedness", which refers to the quality or state of being convex.
