convex

English

Top: a spoon with its convex side up.
Bottom: a spoon with its concave side up.
A convex set. For any points x and y within the set, the connecting line lies within the set.
A convex polygon.

Etymology

Borrowed from Middle French convexe, from Latin convexus (arched).

Pronunciation

  • (Received Pronunciation) IPA(key): /ˈkɒnvɛks/
  • (General American) IPA(key): /ˈkɑnvɛks/
  • The noun was often stressed on the second syllable by early writers, such as Milton, and occasionally by later poets.

Adjective

convex (comparative more convex, superlative most convex)

  1. curved or bowed outward like the outside of a bowl or sphere or circle
    • Whewell
      Drops of water naturally form themselves into figures with a convex surface.
  2. (mathematics, not comparable, of a set) arranged such that for any two points in the set, a straight line between the two points is contained within the set.
  3. (geometry, not comparable, of a polygon) having no internal angles greater than 180 degrees.
  4. (functional analysis, not comparable, of a real-valued function on the reals) having an epigraph which is a convex set.

Antonyms

Derived terms

Translations

Noun

convex (plural convexes)

  1. Any convex body or surface.
    • Tickell
      Half heaven's convex glitters with the flame.

References


Catalan

Etymology

Borrowed from Latin convexus.

Pronunciation

Adjective

convex (feminine convexa, masculine plural convexos, feminine plural convexes)

  1. convex

Antonyms

Further reading

This article is issued from Wiktionary. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.