convex Definition
- 1having a surface that curves outwards, like the outside of a ball
- 2having a shape like the outside of a ball
Using convex: Examples
Take a moment to familiarize yourself with how "convex" can be used in various situations through the following examples!
Example
The convex mirror made everything look smaller.
Example
The convex lens magnifies the image.
Example
The convex hull of a set of points is the smallest convex polygon that contains all the points.
convex Synonyms and Antonyms
Synonyms for convex
- curved
- swollen
- protruding
- rounded
- bulging
Phrases with convex
a polygon with all interior angles less than 180 degrees and all vertices pointing outwards
Example
A square is a convex polygon.
Example
The exponential function is a convex function.
the process of finding the minimum value of a convex function over a convex set
Example
Convex optimization is widely used in machine learning and signal processing.
Origins of convex
from Latin 'convexus', meaning 'vaulted'
Summary: convex in Brief
'Convex' [ˈkɒnveks] describes a surface that curves outward, like the outside of a ball. It can also refer to shapes that resemble such surfaces, as in 'The convex hull of a set of points is the smallest convex polygon that contains all the points.' Other examples include 'convex lens' and 'convex polygon.' Synonyms for 'convex' include 'curved' and 'rounded,' while antonyms include 'concave' and 'sunken.'
