having a surface that curves outwards, like the outside of a ball, having a shape like the outside of a ball

convex polygon, convex function, convex optimization

Formal and Informal Expressions of convex

In different contexts, you can replace 'convex' with suitable alternatives. In a more formal setting, 'curved, rounded' is apt. In informal speech or writing, 'bulging, swollen' is a commonplace synonym.

convex: Explore its Definition & Usage

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

Antonyms for convex

Phrases with convex

convex polygon
a polygon with all interior angles less than 180 degrees and all vertices pointing outwards
Example
A square is a convex polygon.
convex function
a function whose graph is always above its tangent lines
Example
The exponential function is a convex function.
convex optimization
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'

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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.'