convex
English

Top: a spoon with its convex side up.
Bottom: a spoon with its concave 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)
- curved or bowed outward like the outside of a bowl or sphere or circle
- (Can we date this quote?) Whewell
- Drops of water naturally form themselves into figures with a convex surface.
- (Can we date this quote?) Whewell
- (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.
- (geometry, not comparable, of a polygon) having no internal angles greater than 180 degrees.
- (functional analysis, not comparable, of a real-valued function on the reals) having an epigraph which is a convex set.
Antonyms
Derived terms
- biconvex
- concavo-convex
- convex combination
- convexedly
- convex function
- convex hull
- convexification
- convexify
- convexity
- convex lens
- convexly
- convexness
- convexoconcave
- convexoconvex
- convexoplane
- convex set
- double-convex
- equiconvex
- hyperconvex
- nonconvex
- planoconvex
- plano-convex
- polyconvex
- pseudoconvex
- quasiconvex
- semiconvex
- subconvex
Translations
curved or bowed outward like the outside of a bowl or sphere or circle
|
|
Noun
convex (plural convexes)
References
- “convex” in The Oxford English Dictionary, 2nd edition, Oxford: Clarendon Press, 1989, →ISBN.
Catalan
Antonyms
Related terms
Further reading
- “convex” in Diccionari de la llengua catalana, segona edició, Institut d’Estudis Catalans.
Dutch
Pronunciation
- IPA(key): /kɔnˈvɛks/
Audio (file) - Hyphenation: con‧vex
- Rhymes: -ɛks
Adjective
convex (comparative convexer, superlative meest convex or convext)
Inflection
Inflection of convex | ||||
---|---|---|---|---|
uninflected | convex | |||
inflected | convexe | |||
comparative | convexer | |||
positive | comparative | superlative | ||
predicative/adverbial | convex | convexer | het convext het convexte | |
indefinite | m./f. sing. | convexe | convexere | convexte |
n. sing. | convex | convexer | convexte | |
plural | convexe | convexere | convexte | |
definite | convexe | convexere | convexte | |
partitive | convex | convexers | — |
Derived terms
- biconvex
- convexiteit
This article is issued from Wiktionary. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.