algebraic

English

Etymology

Partly from algebra +‎ -ic and partly from French algébraïque.

Pronunciation

• (UK, US, Canada) IPA^(key): /ˌæl.d͡ʒɪˈbɹeɪ.ɪk/

  • Audio (Southern England):

    (file)

  • Audio (Canada):

    (file)

• (General Australian) IPA^(key): /ˌæl.d͡ʒɪˈbɹæɪ.ɪk/
• Rhymes: -eɪɪk

Adjective

algebraic (comparative more algebraic, superlative most algebraic)

1. Of, or relating to, algebra.
2. (mathematics, of an expression, equation, or function) Containing only numbers, letters, and arithmetic operators.
3. (algebra, number theory, of a number) Which is a root of some polynomial whose coefficients are rational.
4. (algebra, of a field) Whose every element is a root of some polynomial whose coefficients are rational.
5. (chess, of notation) Describing squares by file (referred to in intrinsic order rather than by the piece starting on that file) and rank, both with reference to a fixed point rather than a player-dependent perspective.

Antonyms

• (antonym(s) of “that is the root of some polynomial”): transcendental
• (antonym(s) of “whose every element is the root of some polynomial”): transcendental

Hyponyms

• (that is the root of some polynomial): quadratic number

Derived terms

• algebraical
• algebraically
• algebraic analysis
• algebraic closure
• algebraic combinatorics
• algebraic data type
• algebraic equation
• algebraic extension
• algebraic function
• algebraic fundamental group
• algebraic geometer
• algebraic graph theory
• algebraic group
• algebraicity
• algebraicize
• algebraic K-theory
• algebraicness
• algebraic normal form
• algebraic notation
• algebraic number field
• algebraic poset
• algebraic statistics
• algebraic subvariety
• algebraic topology
• algebraic variety
• bialgebraic
• coalgebraic
• linear algebraic
• linear algebraic group
• nonalgebraic
• semialgebraic
• subalgebraic
• superalgebraic
• unalgebraic

 

• (of or relating to algebra):
  • algebraic geometry
  • algebraic number theory
  • algebraic structure
• (that is a root of some polynomial):
  • algebraic integer
  • algebraic number

Translations

relating to algebra

• Afrikaans: algebraïes
• Armenian: հանրահաշվական (hy) (hanrahašvakan)
• Asturian: alxebraicu
• Catalan: algebraic (ca)
• Czech: algebraický (cs) m
• Danish: algebraisk
• Dutch: algebraïsch (nl)
• Finnish: algebrallinen (fi)
• French: algébrique (fr)
• Galician: alxébrico (gl)
• German: algebraisch (de)
• Irish: ailgéabrach
• Italian: algebrico (it)
• Kazakh: алгебралық (algebralyq)
• Norwegian:

  Bokmål: algebraisk (no)

  Nynorsk: algebraisk

• Persian: جبری (fa) (jabri)
• Polish: algebraiczny (pl)
• Portuguese: algébrico (pt)
• Romanian: algebric (ro) m or n
• Russian: алгебраи́ческий (ru) (algebraíčeskij)
• Serbo-Croatian: algebarski m
• Spanish: algebraico (es)
• Swedish: algebraisk (sv)
• Tagalog: panandain

containing numbers, letters, and arithmetic operators

• Afrikaans: algebraïes
• Catalan: algebraic (ca)
• Finnish: algebrallinen (fi)
• French: algébrique (fr)
• Kazakh: алгебралық (algebralyq)
• Polish: algebraiczny (pl)
• Romanian: algebric (ro) m or n
• Russian: алгебраи́ческий (ru) (algebraíčeskij)
• Serbo-Croatian: algebarski m
• Swedish: algebraisk (sv)
• Tagalog: panandain

which is a root of some polynomial

• Finnish: algebrallinen (fi)
• German: algebraisch (de)
• Polish: algebraiczny (pl)
• Russian: алгебраи́ческий (ru) (algebraíčeskij)
• Serbo-Croatian: algebarski

of a particular notation for chess moves that assigns each square a letter and a number defined from a player-independent perspective

• Finnish: algebrallinen (fi)
• Polish: algebraiczny (pl)
• Romanian: algebric (ro)
• Serbo-Croatian: algebarski

Catalan

Pronunciation

• IPA^(key): (Central) [əʎ.ʒəˈβɾajk]
• IPA^(key): (Balearic) [əʎ.ʒəˈbɾajk]
• IPA^(key): (Valencia) [aʎ.d͡ʒeˈbɾajk]

Adjective

algebraic (feminine algebraica, masculine plural algebraics, feminine plural algebraiques)

1. algebraic

   Synonym: algèbric

Derived terms

• algebraicament

Related terms

• àlgebra

Further reading

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

Romanian

Adjective

algebraic m or n (feminine singular algebraică, masculine plural algebraici, feminine and neuter plural algebraice)

1. Obsolete form of algebric.

Declension

Declension of algebraic

		singular			plural
		masculine	neuter	feminine	masculine	neuter	feminine
nominative/ accusative	indefinite	algebraic		algebraică	algebraici	algebraice
	definite	algebraicul		algebraica	algebraicii	algebraicele
genitive/ dative	indefinite	algebraic		algebraice	algebraici	algebraice
	definite	algebraicului		algebraicei	algebraicilor	algebraicelor

References

• algebraic in Academia Română, Micul dicționar academic, ediția a II-a, Bucharest: Univers Enciclopedic, 2010. →ISBN