convex

[ˈkɒnveks]

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

Antonyms for convex

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.

  • a function whose graph is always above its tangent lines

    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'

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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.'