convex






Contents






  • 1 English


    • 1.1 Etymology


    • 1.2 Pronunciation


    • 1.3 Adjective


      • 1.3.1 Antonyms


      • 1.3.2 Derived terms


      • 1.3.3 Translations




    • 1.4 Noun


      • 1.4.1 References






  • 2 Catalan


    • 2.1 Etymology


    • 2.2 Pronunciation


    • 2.3 Adjective


      • 2.3.1 Antonyms


      • 2.3.2 Related terms




    • 2.4 Further reading




  • 3 Dutch


    • 3.1 Etymology


    • 3.2 Pronunciation


    • 3.3 Adjective


      • 3.3.1 Inflection


      • 3.3.2 Derived terms









English




English Wikipedia has articles on:
convex


Wikipedia



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

    • (Can we date this quote?) Whewell
      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


Derived terms




Translations




Noun


convex (plural convexes)


  1. Any convex body or surface.

    • (Can we date this quote?) Tickell
      Half heaven's convex glitters with the flame.




References


  • “convex” in John A. Simpson and Edward S. C. Weiner, editors, The Oxford English Dictionary, 2nd edition, Oxford: Clarendon Press, 1989, →ISBN.




Catalan




Catalan Wikipedia has an article on:
convex


Wikipedia ca


Etymology


Borrowed from Latin convexus.



Pronunciation




  • (Balearic, Valencian) IPA(key): /komˈvɛks/


  • (Central) IPA(key): /kumˈbɛks/



Adjective


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


  1. convex


Antonyms


  • còncau


Related terms


  • convexitat


Further reading



  • “convex” in Diccionari de la llengua catalana, segona edició, Institut d’Estudis Catalans.




Dutch



Etymology


Borrowed from French convexe, from Latin convexus.



Pronunciation




  • IPA(key): /kɔnˈvɛks/

  • Hyphenation: con‧vex

  • Rhymes: -ɛks



Adjective


convex (comparative convexer, superlative meest convex or convext)



  1. convex

    Synonym: bolrond

    Antonym: concaaf




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




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