Convex
adjective
A shape that curves or bulges outward.
The mirror in the bathroom is convex.
adjective
In mathematics, a set of points containing all the line segments connecting any two points in the set.
In real analysis, a convex function is defined as a function whose epigraph is a convex set.
Usage tips
Technical
adjective
In economics, a preference where a combination of two goods may be preferred over either good alone.
The individual has convex preferences, meaning they would prefer a mix of goods rather than just one good.
Often appears as...
- convex preferences
- convex combination
Usage tips
Academic
adjective
In programming, a region in space where, if you take any two points in that region, the whole line segment that joins them is also in that region.
Convex polygons are easier to work with in computer graphics.
Often appears as...
- convex polygon
- convex hull
Usage tips
Technical
adjective
A shape that curves or bulges outward.
The mirror in the bathroom is convex.
adjective
In mathematics, a set of points containing all the line segments connecting any two points in the set.
In real analysis, a convex function is defined as a function whose epigraph is a convex set.
Usage tips
Technical
adjective
In economics, a preference where a combination of two goods may be preferred over either good alone.
The individual has convex preferences, meaning they would prefer a mix of goods rather than just one good.
Often appears as...
- convex preferences
- convex combination
Usage tips
Academic
adjective
In programming, a region in space where, if you take any two points in that region, the whole line segment that joins them is also in that region.
Convex polygons are easier to work with in computer graphics.
Often appears as...
- convex polygon
- convex hull
Usage tips
Technical
Definition 1 of 4
Pro Tip 1/2Visual Imagery
Imagine something bulging outwards, like the surface of a balloon.
The artist's convex sculptures pop out from the walls.
Pro Tip 2/2Not Concave
Convex is the opposite of concave, where something curves inward.
The skateboard ramp has a convex curve, unlike a bowl.
Compare with
bulgeprotuberantroundswell
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Video examples
R.A. Mashelkar:...
One day he took us out into the sun and tried to show us how to find the focal length of a convex lens. The lens was here. The piece of paper was there. He moved it up and down. And there was a bright spot up there. And then he said, "This is the focal length."
Video examples
How optical illusions...
even on a flat piece of paper, our brain reflexively creates the 3D concave or convex shape. Now for that creepy Lincoln upside down face. Faces trigger activity in areas of the brain that have specifically evolved to help us recognize faces.
Video examples
R.A. Mashelkar:...
One day he took us out into the sun and tried to show us how to find the focal length of a convex lens. The lens was here. The piece of paper was there. He moved it up and down. And there was a bright spot up there. And then he said, "This is the focal length."
Video examples
How optical illusions...
even on a flat piece of paper, our brain reflexively creates the 3D concave or convex shape. Now for that creepy Lincoln upside down face. Faces trigger activity in areas of the brain that have specifically evolved to help us recognize faces.
Example 1 of 2
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