algebra

See also: Appendix:Variations of "algebra"

English

Etymology

    Borrowed from Medieval Latin algebra, from the Arabic word الْجَبْر (al-jabr, reunion, resetting of broken parts) in the title of al-Khwarizmi's influential work الْكِتَاب الْمُخْتَصَر فِي حِسَاب الْجَبْر وَالْمُقَابَلَة (al-kitāb al-muḵtaṣar fī ḥisāb al-jabr wa-l-muqābala, The Compendious Book on Calculation by Completion and Balancing).

    Pronunciation

    • (UK) IPA(key): /ˈæl.dʒɪ.bɹə/
    • (US) IPA(key): /ˈæl.d͡ʒɪ.bɹə/, /ˈæl.d͡ʒə.bɹə/
    • Audio (US):(file)
    • (Indic) IPA(key): /əlˈdʒibrɑ/, /-ˈdʒe-/, /-ˈdʒɛ-/

    Noun

    algebra (countable and uncountable, plural algebras)

    1. (uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
    2. (uncountable, mathematics, sometimes capitalized) Abstract algebra: A broad field of study in modern mathematics (often mentioned alongside analysis) loosely characterized by its concern for abstraction and symmetry, dealing with the behavior, classification, and application of a large class of objects (called algebraic structures) and the maps between them (called, most generally, morphisms).
    3. (countable, mathematics, algebra) Any of several objects of study in Algebra
      1. A universal algebra.
      2. An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
        Synonyms: algebra over a field, algebra over a ring
    4. (countable, set theory, mathematical analysis) A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
      Synonyms: field of sets, algebra of sets
      Hypernym: ring
      Hyponym: σ-algebra
    5. (figurative) A system or process (especially one that is complex or convoluted) that substitutes one thing for another, or uses signs or symbols to represent concepts or ideas.
      • 1663, William Clark, edited by William Hugh Logan, Marciano; or, The discovery: A tragi-comedy[3], Edinburgh: Reprinted for Private Circulation, published 1871, →ISBN, page 13:
        Fly ! Fly ! avaunt with that base cowardly gibbrish ; That Algebra of honour ; which had never Been nam'd, if all had equal courage—what?
    6. (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
      • a1420, The British Museum Additional MS, 12,056, “Wounds complicated by the Dislocation of a Bone”, in Robert von Fleischhacker, editor, Lanfranc's "Science of cirurgie."[4], London: K. Paul, Trench, Trübner & Co, translation of original by Lanfranc of Milan, published 1894, →ISBN, page 63:
        Ne take noon hede to brynge togidere þe parties of þe boon þat is to-broken or dislocate, til viij. daies ben goon in þe wyntir, & v. in þe somer; for þanne it schal make quytture, and be sikir from swellynge; & þanne brynge togidere þe brynkis eiþer þe disiuncture after þe techynge þat schal be seid in þe chapitle of algebra.
      • 1987, John Newsome Crossley, “Latency”, in The emergence of number[5], Singapore: World Scientific, →ISBN, Al-Khwarizwi, page 65:
        Algebra is used today by surgeons to mean bone-setting, i.e. the restoration of bones, and the idea of restoration is present in the mathematical context, too.

    Derived terms

    Descendants

    • Chinese: 代數 / 代数 (dàishù)

    Translations

    Anagrams

    Czech

    Etymology

    Borrowed from Arabic الْجَبْر (al-jabr, reunion, resetting of broken parts); see also the English algebra. First attested in the 19th century.[1]

    Pronunciation

    • IPA(key): [ˈalɡɛbra]
    • Audio:(file)

    Noun

    algebra f

    1. algebra

    Declension

    Derived terms

    References

    1. ^ Rejzek, Jiří (2015), “algebra”, in Český etymologický slovník [Czech Etymological Dictionary] (in Czech), 3rd (revised and expanded) edition, Praha: LEDA, →ISBN, page 52

    Further reading

    Danish

    Etymology

    Borrowed from Medieval Latin algebra, from Arabic الْجَبْر (al-jabr).

    Noun

    algebra c (singular definite algebraen, not used in plural form)

    1. (mathematics) algebra (using symbols)
    2. (mathematics) algebra (study of algebraical structures)

    Declension

    Declension of algebra
    common
    gender
    singular
    indefinite definite
    nominative algebra algebraen
    genitive algebras algebraens

    Dutch

    Etymology

    From Middle Dutch algebra, from Latin algebra, from Arabic الْجَبْر (al-jabr).

    Pronunciation

    • IPA(key): /ˈɑl.ɣəˌbraː/
    • Audio:(file)
    • Hyphenation: al‧ge‧bra

    Noun

    algebra f (uncountable, no diminutive)

    1. (mathematics) algebra
      Synonyms: stelkunde, stelkunst

    Derived terms

    Esperanto

    Etymology

    From algebro +‎ -a.

    Pronunciation

    • IPA(key): /alˈɡebra/
    • Audio 1:(file)
    • Audio 2:(file)
    • Rhymes: -ebra
    • Syllabification: al‧ge‧bra

    Adjective

    algebra (accusative singular algebran, plural algebraj, accusative plural algebrajn)

    1. algebraic

    Finnish

    Etymology

    From New Latin algebra, from Arabic الْجَبْر (al-jabr).

    Pronunciation

    • IPA(key): /ˈɑlɡebrɑ/, [ˈɑ̝lɡe̞brɑ̝]
    • Rhymes: -ɑlɡebrɑ
    • Syllabification(key): al‧geb‧ra
    • Hyphenation(key): al‧geb‧ra

    Noun

    algebra

    1. algebra

    Declension

    Inflection of algebra (Kotus type 11/omena, no gradation)
    nominative algebra algebrat
    genitive algebran algebrien
    algebroiden
    algebroitten
    partitive algebraa algebria
    algebroita
    illative algebraan algebriin
    algebroihin
    singular plural
    nominative algebra algebrat
    accusative nom. algebra algebrat
    gen. algebran
    genitive algebran algebrien
    algebroiden
    algebroitten
    algebrojen rare
    algebrain rare
    partitive algebraa algebria
    algebroita
    algebroja rare
    inessive algebrassa algebroissa
    algebrissa
    elative algebrasta algebroista
    algebrista
    illative algebraan algebriin
    algebroihin
    adessive algebralla algebroilla
    algebrilla
    ablative algebralta algebroilta
    algebrilta
    allative algebralle algebroille
    algebrille
    essive algebrana algebroina
    algebrina
    translative algebraksi algebroiksi
    algebriksi
    abessive algebratta algebroitta
    algebritta
    instructive algebroin
    algebrin
    comitative See the possessive forms below.
    Possessive forms of algebra (Kotus type 11/omena, no gradation)
    first-person singular possessor
    singular plural
    nominative algebrani algebrani
    accusative nom. algebrani algebrani
    gen. algebrani
    genitive algebrani algebrieni
    algebroideni
    algebroitteni
    algebrojeni rare
    algebraini rare
    partitive algebraani algebriani
    algebroitani
    algebrojani rare
    inessive algebrassani algebroissani
    algebrissani
    elative algebrastani algebroistani
    algebristani
    illative algebraani algebriini
    algebroihini
    adessive algebrallani algebroillani
    algebrillani
    ablative algebraltani algebroiltani
    algebriltani
    allative algebralleni algebroilleni
    algebrilleni
    essive algebranani algebroinani
    algebrinani
    translative algebrakseni algebroikseni
    algebrikseni
    abessive algebrattani algebroittani
    algebrittani
    instructive
    comitative algebroineni
    algebrineni
    second-person singular possessor
    singular plural
    nominative algebrasi algebrasi
    accusative nom. algebrasi algebrasi
    gen. algebrasi
    genitive algebrasi algebriesi
    algebroidesi
    algebroittesi
    algebrojesi rare
    algebraisi rare
    partitive algebraasi algebriasi
    algebroitasi
    algebrojasi rare
    inessive algebrassasi algebroissasi
    algebrissasi
    elative algebrastasi algebroistasi
    algebristasi
    illative algebraasi algebriisi
    algebroihisi
    adessive algebrallasi algebroillasi
    algebrillasi
    ablative algebraltasi algebroiltasi
    algebriltasi
    allative algebrallesi algebroillesi
    algebrillesi
    essive algebranasi algebroinasi
    algebrinasi
    translative algebraksesi algebroiksesi
    algebriksesi
    abessive algebrattasi algebroittasi
    algebrittasi
    instructive
    comitative algebroinesi
    algebrinesi
    first-person plural possessor
    singular plural
    nominative algebramme algebramme
    accusative nom. algebramme algebramme
    gen. algebramme
    genitive algebramme algebriemme
    algebroidemme
    algebroittemme
    algebrojemme rare
    algebraimme rare
    partitive algebraamme algebriamme
    algebroitamme
    algebrojamme rare
    inessive algebrassamme algebroissamme
    algebrissamme
    elative algebrastamme algebroistamme
    algebristamme
    illative algebraamme algebriimme
    algebroihimme
    adessive algebrallamme algebroillamme
    algebrillamme
    ablative algebraltamme algebroiltamme
    algebriltamme
    allative algebrallemme algebroillemme
    algebrillemme
    essive algebranamme algebroinamme
    algebrinamme
    translative algebraksemme algebroiksemme
    algebriksemme
    abessive algebrattamme algebroittamme
    algebrittamme
    instructive
    comitative algebroinemme
    algebrinemme
    second-person plural possessor
    singular plural
    nominative algebranne algebranne
    accusative nom. algebranne algebranne
    gen. algebranne
    genitive algebranne algebrienne
    algebroidenne
    algebroittenne
    algebrojenne rare
    algebrainne rare
    partitive algebraanne algebrianne
    algebroitanne
    algebrojanne rare
    inessive algebrassanne algebroissanne
    algebrissanne
    elative algebrastanne algebroistanne
    algebristanne
    illative algebraanne algebriinne
    algebroihinne
    adessive algebrallanne algebroillanne
    algebrillanne
    ablative algebraltanne algebroiltanne
    algebriltanne
    allative algebrallenne algebroillenne
    algebrillenne
    essive algebrananne algebroinanne
    algebrinanne
    translative algebraksenne algebroiksenne
    algebriksenne
    abessive algebrattanne algebroittanne
    algebrittanne
    instructive
    comitative algebroinenne
    algebrinenne
    third-person possessor
    singular plural
    nominative algebransa algebransa
    accusative nom. algebransa algebransa
    gen. algebransa
    genitive algebransa algebriensa
    algebroidensa
    algebroittensa
    algebrojensa rare
    algebrainsa rare
    partitive algebraansa algebriaan
    algebroitaan
    algebriansa
    algebroitansa
    algebrojaan rare
    algebrojansa rare
    inessive algebrassaan
    algebrassansa
    algebroissaan
    algebrissaan
    algebroissansa
    algebrissansa
    elative algebrastaan
    algebrastansa
    algebroistaan
    algebristaan
    algebroistansa
    algebristansa
    illative algebraansa algebriinsa
    algebroihinsa
    adessive algebrallaan
    algebrallansa
    algebroillaan
    algebrillaan
    algebroillansa
    algebrillansa
    ablative algebraltaan
    algebraltansa
    algebroiltaan
    algebriltaan
    algebroiltansa
    algebriltansa
    allative algebralleen
    algebrallensa
    algebroilleen
    algebrilleen
    algebroillensa
    algebrillensa
    essive algebranaan
    algebranansa
    algebroinaan
    algebrinaan
    algebroinansa
    algebrinansa
    translative algebrakseen
    algebraksensa
    algebroikseen
    algebrikseen
    algebroiksensa
    algebriksensa
    abessive algebrattaan
    algebrattansa
    algebroittaan
    algebrittaan
    algebroittansa
    algebrittansa
    instructive
    comitative algebroineen
    algebrineen
    algebroinensa
    algebrinensa

    Derived terms

    Further reading

    Hungarian

    Etymology

    From Latin algebra, from Arabic الْجَبْر (al-jabr).[1]

    Pronunciation

    • IPA(key): [ˈɒlɡɛbrɒ]
    • Hyphenation: al‧geb‧ra
    • Rhymes: -rɒ

    Noun

    algebra

    1. (mathematics) algebra (a system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols)
    2. (education) algebra (the study of algebra as a school subject)
      Tudnál segíteni algebrában?Could you help me with my algebra?

    Declension

    Inflection (stem in long/high vowel, back harmony)
    singular plural
    nominative algebra algebrák
    accusative algebrát algebrákat
    dative algebrának algebráknak
    instrumental algebrával algebrákkal
    causal-final algebráért algebrákért
    translative algebrává algebrákká
    terminative algebráig algebrákig
    essive-formal algebraként algebrákként
    essive-modal
    inessive algebrában algebrákban
    superessive algebrán algebrákon
    adessive algebránál algebráknál
    illative algebrába algebrákba
    sublative algebrára algebrákra
    allative algebrához algebrákhoz
    elative algebrából algebrákból
    delative algebráról algebrákról
    ablative algebrától algebráktól
    non-attributive
    possessive – singular
    algebráé algebráké
    non-attributive
    possessive – plural
    algebráéi algebrákéi
    Possessive forms of algebra
    possessor single possession multiple possessions
    1st person sing. algebrám algebráim
    2nd person sing. algebrád algebráid
    3rd person sing. algebrája algebrái
    1st person plural algebránk algebráink
    2nd person plural algebrátok algebráitok
    3rd person plural algebrájuk algebráik

    Derived terms

    References

    1. ^ Tótfalusi, István. Idegenszó-tár: Idegen szavak értelmező és etimológiai szótára (’A Storehouse of Foreign Words: an explanatory and etymological dictionary of foreign words’). Budapest: Tinta Könyvkiadó, 2005. →ISBN

    Further reading

    • algebra in Géza Bárczi, László Országh, et al., editors, A magyar nyelv értelmező szótára [The Explanatory Dictionary of the Hungarian Language] (ÉrtSz.), Budapest: Akadémiai Kiadó, 1959–1962. Fifth ed., 1992: →ISBN.
    • algebra in Nóra Ittzés, editor, A magyar nyelv nagyszótára [A Comprehensive Dictionary of the Hungarian Language] (Nszt.), Budapest: Akadémiai Kiadó, 2006–2031 (work in progress; published a–ez as of 2024).

    Italian

    Etymology

    From Medieval Latin algebra, from Arabic الْجَبْر (al-jabr, reunion, resetting of broken parts).

    Pronunciation

    • IPA(key): /ˈal.d͡ʒe.bra/
    • Rhymes: -aldʒebra
    • Hyphenation: àl‧ge‧bra

    Noun

    algebra f (plural algebre)

    1. algebra

    Descendants

    Anagrams

    Latin

    Etymology

      Borrowed from Arabic الْجَبْر (al-jabr, reunion, resetting of broken parts).

      Pronunciation

      Noun

      algebra f (genitive algebrae); first declension

      1. (Medieval Latin, New Latin) algebra

      Declension

      First-declension noun.

      Descendants

      References

      Latvian

      Etymology

      Via other European languages, ultimately from Medieval Latin algebra, from Arabic الْجَبْر (al-jabr, reunion, resetting of broken parts) in the title of al-Khwarizmi's influential work الْكِتَاب الْمُخْتَصَر فِي حِسَاب اَلْجَبْر وَالْمُقَابَلَة (al-kitāb al-muḵtaṣar fī ḥisāb al-jabr wa-l-muqābala, The Compendious Book on Calculation by Completion and Balancing).

      Pronunciation

      • IPA(key): [alɡɛbɾa]
      • Audio:(file)

      Noun

      algebra f (4th declension)

      1. algebra (the branch of mathematics that studies generic numbers regardless of their actual numeric value)
      2. algebra (the corresponding school subject)
        algebras formulaalgebraic formula
        algebras specialistsalgebra specialist
        algebras mācību grāmataalgebra textbook
        algebras stundaalgebra class, lesson
        risināt, atrisināt algebras uzdevumuto solve an algebra problem
        algebra ir viena no matematikas pamatnozarēmalgebra is one of the fundamental branches of mathematics

      Declension

      Declension of algebra (4th)
      singular
      (vienskaitlis)
      plural
      (daudzskaitlis)
      nominative algebra
      genitive algebras
      dative algebrai
      accusative algebru
      instrumental algebru
      locative algebrā
      vocative algebra

      Derived terms

      Norwegian Bokmål

      Etymology

      From Arabic الْجَبْر (al-jabr), via Medieval Latin algebra.

      Noun

      algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)

      1. (mathematics) algebra
      2. an algebra textbook

      Derived terms

      References

      Norwegian Nynorsk

      Etymology

      From Arabic الْجَبْر (al-jabr), via Medieval Latin algebra.

      Noun

      algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)

      1. (mathematics) algebra
      2. an algebra textbook

      Derived terms

      References

      Polish

      Alternative forms

      • algiebra (Middle Polish)

      Etymology

      Internationalism; compare English algebra. Possibly borrowed from German Algebra, French algèbre, or Spanish álgebra, ultimately from Medieval Latin algebra, from Arabic الْجَبْر (al-jabr) “reunion”, “resetting of broken parts”, used in the title of al-Khwarizmi’s influential work الْكِتَاب الْمُخْتَصَر فِي حِسَاب الْجَبْر وَالْمُقَابَلَة (al-kitāb al-muḵtaṣar fī ḥisāb al-jabr wa-l-muqābala, the compendious book on restoration and equating like with like).[1][2] First attested in 1654–1676.[3]

      Pronunciation

      • IPA(key): /alˈɡɛ.bra/
      • Audio:(file)
      • Rhymes: -ɛbra
      • Syllabification: al‧ge‧bra

      Noun

      algebra f

      1. algebra (field of mathematics)

      Declension

      Derived terms

      adjective

      Collocations

      References

      1. ^ Mirosław Bańko; Lidia Wiśniakowska (2021), “algebra”, in Wielki słownik wyrazów obcych, →ISBN
      2. ^ Bańkowski, Andrzej (2000), “algebra”, in Etymologiczny słownik języka polskiego [Etymological Dictionary of the Polish Language] (in Polish)
      3. ^ Barbara Rykiel-Kempf (06.05.2009), “ALGEBRA”, in Elektroniczny Słownik Języka Polskiego XVII i XVIII Wieku [Electronic Dictionary of the Polish Language of the XVII and XVIII Century]

      Further reading

      Serbo-Croatian

      Pronunciation

      • IPA(key): /ǎlɡeːbra/
      • Hyphenation: al‧ge‧bra

      Noun

      àlgēbra f (Cyrillic spelling а̀лге̄бра)

      1. algebra

      Declension

      Declension of algebra
      singular plural
      nominative àlgēbra algebre
      genitive algebre àlgēbārā / àlgēbrī
      dative algebri algebrama
      accusative algebru algebre
      vocative algebro algebre
      locative algebri algebrama
      instrumental algebrom algebrama

      Further reading

      • algebra”, in Hrvatski jezični portal [Croatian language portal] (in Serbo-Croatian), 2006–2026

      Spanish

      Noun

      algebra

      1. misspelling of álgebra

      Swedish

      Noun

      algebra c

      1. (mathematics) algebra

      Declension

      Welsh

      Noun

      algebra m or f (uncountable)

      1. (mathematics) algebra
        Synonym: (obsolete) alsoddeg

      Mutation

      Mutated forms of algebra
      radical soft nasal h-prothesis
      algebra unchanged unchanged halgebra

      Note: Certain mutated forms of some words can never occur in standard Welsh.
      All possible mutated forms are displayed for convenience.

      References

      • Delyth Prys; J.P.M. Jones; Owain Davies; Gruffudd Prys (2006), Y Termiadur: termau wedi'u safoni; standardised terminology[7] (in Welsh), Cardiff: Awdurdod cymwysterau, cwricwlwm ac asesu Cymru (Qualifications curriculum & assessment authority for Wales), →ISBN
      • R. J. Thomas, G. A. Bevan, P. J. Donovan, A. Hawke, et al., editors (1950–present), “algebra”, in Geiriadur Prifysgol Cymru Online (in Welsh), University of Wales Centre for Advanced Welsh & Celtic Studies