convex

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Pronunciation

• (RP) IPA: /ˈkɒnvɛks/
• (America) IPA: /ˈkɑnvɛks/

Adjective

convex

1. curved or bowed outward like the outside of a bowl or sphere or circle

   • Drops of water naturally form themselves into figures with a convex surface.

2. (mathematics, not comparable, of a set in Euclidean space) 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

• concave

Translations

• French: convexe
• German: konvex
• Italian: convesso
• Portuguese: convexo
• Russian: вы́пуклый
• Spanish: convexo

Noun

convex (plural convexes)

1. Any convex body or surface.

   • Half heaven's convex glitters with the flame.

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