Meaning & Definition of word "Convex"
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Convex
/ˈkɒnvɛks/
adjective:
- 1. Having an outline or surface that curves outward.
- Example: The lens is convex, allowing it to focus light effectively.
- 2. In geometry, referring to a shape that curves outward or is bulging; a polygon with all interior angles less than 180 degrees.
- Example: A convex polygon has all its vertices pointing outward from the center.
- 3. In economics, referring to a utility function that is increasing at an increasing rate.
- Example: A convex utility function implies that the consumer prefers a diversified bundle of goods.
- 4. In mathematics, referring to a set where, for any two points within the set, the line segment connecting them lies entirely within the set.
- Example: The shape formed by the points is convex, as any line drawn between two points remains within the shape.
Etymology
From Latin 'convexus', meaning 'arched, vaulted'.
Common Phrases and Expressions
convex lens:
A lens that is thicker in the center than at the edges, causing light rays to converge.
convex hull:
The smallest convex shape that encloses a set of points.
convex mirror:
A mirror with a curved reflecting surface that bulges outward.
Related Words
concave:
Curved inward, opposite of convex.
curvature:
The amount by which a curve deviates from being a straight line.
optics:
The branch of physics that studies the behavior and properties of light.