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 wal-muqābala, “The Compendious Book on Calculation by Completion and Balancing”).

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

• Audio (US)

  (file)

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, “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).

   Synonym: field of sets

7. (countable, mathematics) One of several other types of mathematical structure.
8. (figuratively) 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

algebra

1. algebra

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

• IPA^(key): /ˈal.d͡ʒe.bra/, [ˈäl̺ʲd͡ʒe̞br̺ä]
• Hyphenation: al‧ge‧bra

algebra f (plural algebre)

1. algebra

• algebrico
• algebrista

• alberga

• (Classical) IPA^(key): /ˈal.ɡe.bra/, [ˈaɫ.ɡɛ.bra]

algebra f (genitive algebrae); first declension

1. algebra

First-declension noun.

• algebra in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition, 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.

From Italian, Spanish or mediaeval Latin, 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”).

• IPA^(key): /alˈɡɛ.bra/

• Audio

  (file)

algebra f

1. algebra

• algebraiczny

• algebra in Polish dictionaries at PWN

• 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