algebra

From Medieval Latin algebrāica, from 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”).

• (UK) IPA^(key): /ˈæl.dʒɪ.bɹə/
• (US) IPA^(key): /ˈæl.d͡ʒɪ.bɹə/, /ˈæl.d͡ʒə.bɹə/

• Audio (US)

  (file)

• Rhymes: -iːbɹə

algebra (countable and uncountable, plural algebras)

1. (uncountable, mathematics) A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
   • 1551, James A.H. Murray, editor, A New English Dictionary on Historical Principles: Founded Mainly on the Materials Collected by the Philological Society.‎, volume 1, Oxford: Clarendon Press, published 1888, Part 1, page 217:

     Also the rule of false position, with dyuers examples not only vulgar, but some appertaynyng to the rule of Algeber.

   • 1854, George Boole, “Signs and their Laws”, in An Investigation of the Laws of Thought, on which are Founded the Mathematical Theories of Logic and Probabilities‎, London: Walton and Maberly, page 37:

     Let us conceive, then, of an Algebra in which the symbols x, y, z, &c. admit indifferently of the values 0 and 1, and of these values alone.

2. (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."‎, 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, 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.

3. (uncountable, mathematics) The study of algebraic structures.
4. (countable, mathematics) A universal algebra.
5. (countable, algebra) 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

   • 2018 March 23, Wikipedia contributors, “Lie algebra”, in English Wikipedia‎, Wikimedia Foundation, revision 831953572:

     In mathematics, a Lie algebra (pronounced /liː/ "Lee") is a vector space ${\displaystyle {\mathfrak {g}}}$ together with a non-associative, alternating bilinear map ${\displaystyle {\mathfrak {g}}\times {\mathfrak {g}}\rightarrow {\mathfrak {g}};(x,y)\mapsto [x,y]}$, called the Lie bracket, satisfying the Jacobi identity.

6. (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

7. (countable, mathematics) One of several other types of mathematical structure.
8. (figurative) A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas.
   • 1663, William Clark, William Hugh Logan, editor, Marciano; or, The discovery: A tragi-comedy‎, 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?

• Labarge

From Arabic الْجَبْر‎ (al-jabr, “reunion, resetting of broken parts”); see also the English algebra.

• IPA^(key): [ˈalɡɛbra]

algebra f

1. algebra

• Booleova algebra
• booleovská algebra

• algebraický

• algebra in Příruční slovník jazyka českého, 1935–1957
• algebra in Slovník spisovného jazyka českého, 1960–1971, 1989

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

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

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

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

• IPA^(key): /ˈɑl.ɣəˌbraː/

• Audio

  (file)

• Hyphenation: al‧ge‧bra

algebra f (uncountable)

1. (mathematics) algebra

   Synonyms: stelkunde, stelkunst

• algebraïcus
• algebraïsch
• algebraïst
• lineaire algebra

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

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

algebra

1. algebra

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

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

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?

• algebrai

• algebra in Bárczi, Géza and László Országh. A magyar nyelv értelmező szótára (‘The Explanatory Dictionary of the Hungarian Language’). Budapest: Akadémiai Kiadó, 1959–1962. Fifth ed., 1992: →ISBN
• algebra in Ittzés, Nóra (ed.). A magyar nyelv nagyszótára (’A Comprehensive Dictionary of the Hungarian Language’). Budapest: Akadémiai Kiadó, 2006–2031 (work in progress; published A–ez as of 2023)

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

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

algebra f (plural algebre)

1. algebra

• algebrico
• algebrista

• alberga

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

• (Classical) IPA^(key): /ˈal.ɡe.bra/, [ˈäɫ̪ɡɛbrä]
• (Ecclesiastical) IPA^(key): /ˈal.d͡ʒe.bra/, [ˈäl̠ʲd͡ʒebrä]

algebra f (genitive algebrae); first declension

1. (Medieval Latin, New Latin) algebra

First-declension noun.

• algebra in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition with additions by D. P. Carpenterius, Adelungius and others, edited by Léopold Favre, 1883–1887)

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”).

• IPA^(key): [alɡɛbɾa]

algebra f (4th declension)

1. algebra is a branch of mathematics that studies generic numbers ('variables') regardless of their actual numeric value; the corresponding school subject

   algebras formula ― algebraic formula

   algebras specialists ― algebra specialist

   algebras mācību grāmata ― algebra textbook

   algebras stunda ― algebra class, lesson

   risināt, atrisināt algebras uzdevumu ― to solve an algebra problem

   algebra ir viena no matematikas pamatnozarēm ― algebra is one of the fundamental branches of mathematics

• algebrisks

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

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

1. (mathematics) algebra
2. an algebra textbook

• algebraisk
• lineær algebra

• “algebra” in The Bokmål Dictionary.

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

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

1. (mathematics) algebra
2. an algebra textbook

• algebraisk
• lineær algebra

• “algebra” in The Nynorsk Dictionary.

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]

• IPA^(key): /alˈɡɛb.ra/

• Audio

  (file)

• Rhymes: -ɛbra
• Syllabification: al‧geb‧ra

algebra f

1. algebra (field of mathematics)

• Pęzik, Piotr; Przepiórkowski, A.; Bańko, M.; Górski, R.; Lewandowska-Tomaszczyk, B (2012) Wyszukiwarka PELCRA dla danych NKJP. Narodowy Korpus Języka Polskiego [National Polish Language Corpus, PELCRA search engine]‎, Wydawnictwo PWN

• algebra in Wielki słownik języka polskiego, Instytut Języka Polskiego PAN
• algebra in Polish dictionaries at PWN
• Samuel Bogumił Linde (1807-1814), “algiebra”, in Słownik języka polskiego
• Aleksander Zdanowicz (1861), “algiebra”, in Słownik języka polskiego, Wilno 1861
• J. Karłowicz, A. Kryński, W. Niedźwiedzki, editors (1900), “algiebra”, in Słownik języka polskiego (in Polish), volume 1, Warsaw, page 24

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

àlgēbra f (Cyrillic spelling а̀лге̄бра)

1. algebra

algebra

1. Misspelling of álgebra.

algebra c

1. (mathematics) algebra

• algebraisk
• relationsalgebra