algebra
English
Etymology
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”).
Pronunciation
- (UK) IPA(key): /ˈæl.dʒɪ.bɹə/
- (US) IPA(key): /ˈæl.d͡ʒɪ.bɹə/, /ˈæl.d͡ʒə.bɹə/
Audio (US) (file) - Rhymes: -iːbɹə
Noun
algebra (countable and uncountable, plural algebras)
- (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.
-
- (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.
-
- (uncountable, mathematics) The study of algebraic structures.
- (countable, mathematics) A universal algebra.
- (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 together with a non-associative, alternating bilinear map , called the Lie bracket, satisfying the Jacobi identity.
- (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
- (countable, mathematics) One of several other types of mathematical structure.
- (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?
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Derived terms
- Abelian algebra
- abelian algebra
- abstract algebra
- Albert algebra
- algebraist
- algebralike
- algebra over a field
- algebra over a ring
- alternative algebra
- anti-algebra
- antialgebra
- associative algebra
- Azumaya algebra
- bialgebra
- Boolean algebra
- Borel σ-algebra
- central simple algebra
- Clifford algebra
- coalgebra
- combinatorial commutative algebra
- commutative algebra
- composition algebra
- De Morgan algebra
- dialgebra
- division algebra
- elementary algebra
- finite algebra
- free algebra
- free Boolean algebra
- Grassmann algebra
- hard as Chinese algebra
- Heyting algebra
- homological algebra
- Hopf algebra
- Hurwitz algebra
- hyperalgebra
- Jordan algebra
- Kac-Moody algebra
- k-algebra
- Kleene algebra
- Leibniz algebra
- Lie algebra
- linear algebra
- Loday algebra
- Maharam algebra
- matrix algebra
- modern algebra
- multialgebra
- non-associative algebra
- numerical linear algebra
- Ockham algebra
- polynomial algebra
- power-associative algebra
- prealgebra
- pseudoalgebra
- quasibialgebra
- reduced algebra
- semialgebra
- simple algebra
- subalgebra
- subalgebrae
- submultialgebra
- superalgebra
- superbialgebra
- superdialgebra
- switching algebra
- universal algebra
- vector algebra
- Weyl algebra
- Zinbiel algebra
- σ-algebra
Related terms
- algebraic
- algebraical
- algebraically
- algebraist
- algorithm
Translations
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Anagrams
- Labarge
Czech
Etymology
From Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”); see also the English algebra.
Pronunciation
- IPA(key): [ˈalɡɛbra]
Noun
algebra f
- algebra
Declension
singular | plural | |
---|---|---|
nominative | algebra | algebry |
genitive | algebry | algeber |
dative | algebře | algebrám |
accusative | algebru | algebry |
vocative | algebro | algebry |
locative | algebře | algebrách |
instrumental | algebrou | algebrami |
Derived terms
- Booleova algebra
- booleovská algebra
Related terms
- algebraický
Further reading
- algebra in Příruční slovník jazyka českého, 1935–1957
- algebra in Slovník spisovného jazyka českého, 1960–1971, 1989
Danish
Etymology
Borrowed from Medieval Latin algebra, from Arabic الْجَبْر (al-jabr).
Noun
algebra c (singular definite algebraen, not used in plural form)
- (mathematics) algebra (using symbols)
- (mathematics) algebra (study of algebraical structures)
Declension
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)
- (mathematics) algebra
- Synonyms: stelkunde, stelkunst
Derived terms
- algebraïcus
- algebraïsch
- algebraïst
- lineaire algebra
Finnish
Etymology
From English algebra, from Arabic الْجَبْر (al-jabr).
Pronunciation
- IPA(key): /ˈɑlɡebrɑ/, [ˈɑlɡe̞brɑ]
- Rhymes: -ɑlɡebrɑ
- Syllabification(key): al‧geb‧ra
Noun
algebra
- 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 algebrojenrare algebrainrare | |
partitive | algebraa | algebria algebroita algebrojarare | |
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 | |
instructive | — | algebroin algebrin | |
abessive | algebratta | algebroitta algebritta | |
comitative | — | algebroineen algebrineen |
Possessive forms of algebra (type omena) | ||
---|---|---|
possessor | singular | plural |
1st person | algebrani | algebramme |
2nd person | algebrasi | algebranne |
3rd person | algebransa |
Hungarian
Etymology
From Latin algebra, from Arabic الْجَبْر (al-jabr).[1]
Pronunciation
- IPA(key): [ˈɒlɡɛbrɒ]
- Hyphenation: al‧geb‧ra
- Rhymes: -rɒ
Noun
algebra
- (mathematics) algebra (a system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols)
- (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
- algebrai
References
- 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 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)
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)
- algebra
Related terms
- algebrico
- algebrista
Anagrams
- alberga
Latin
Etymology
Borrowed from Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”).
Pronunciation
- (Classical) IPA(key): /ˈal.ɡe.bra/, [ˈäɫ̪ɡɛbrä]
- (Ecclesiastical) IPA(key): /ˈal.d͡ʒe.bra/, [ˈäl̠ʲd͡ʒebrä]
Noun
algebra f (genitive algebrae); first declension
- (Medieval Latin, New Latin) algebra
Declension
First-declension noun.
Case | Singular | Plural |
---|---|---|
Nominative | algebra | algebrae |
Genitive | algebrae | algebrārum |
Dative | algebrae | algebrīs |
Accusative | algebram | algebrās |
Ablative | algebrā | algebrīs |
Vocative | algebra | algebrae |
References
- 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)
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]
(file) |
Noun
algebra f (4th declension)
- 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
Declension
singular (vienskaitlis) | plural (daudzskaitlis) | |
---|---|---|
nominative (nominatīvs) | algebra | — |
accusative (akuzatīvs) | algebru | — |
genitive (ģenitīvs) | algebras | — |
dative (datīvs) | algebrai | — |
instrumental (instrumentālis) | algebru | — |
locative (lokatīvs) | algebrā | — |
vocative (vokatīvs) | algebra | — |
Derived terms
- algebrisks
Norwegian Bokmål
Etymology
From Arabic الْجَبْر (al-jabr), via Medieval Latin algebra.
Noun
algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)
- (mathematics) algebra
- an algebra textbook
Derived terms
- algebraisk
- lineær algebra
References
- “algebra” in The Bokmål Dictionary.
Norwegian Nynorsk
Etymology
From Arabic الْجَبْر (al-jabr), via Medieval Latin algebra.
Noun
algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)
- (mathematics) algebra
- an algebra textbook
Derived terms
- algebraisk
- lineær algebra
References
- “algebra” in The Nynorsk Dictionary.
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): /alˈɡɛb.ra/
Audio (file) - Rhymes: -ɛbra
- Syllabification: al‧geb‧ra
Noun
algebra f
- algebra (field of mathematics)
Declension
singular | plural | |
---|---|---|
nominative | algebra | algebry |
genitive | algebry | algebr |
dative | algebrze | algebrom |
accusative | algebrę | algebry |
instrumental | algebrą | algebrami |
locative | algebrze | algebrach |
vocative | algebro | algebry |
Derived terms
- algebraiczny
- algebraicznie
- algebra abstrakcyjna
- algebraik
Collocations
- uogólniona algebra ― generalized algebra
- matematyczna algebra ― mathematic algebra
- klasyczna algebra ― classic(al) algebra
- współczesna algebra ― modern algebra
- prosta algebra ― simple algebra
- zwykła algebra ― ordinary algebra
- algebra liniowa ― linear algebra
- algebra homologiczna ― homological algebra
- algebra abstrakcyjna ― algebra
- algebra przemienna ― commutative algebra
- algebra geometryczna ― geometric algebra
- algebra uniwersalna ― universal algebra
- algebra komputerowa ― computational algebra
- algebra ogólna ― general algebra
- algebra liczbowa ― numerical algebra
- algebra wyższa ― higher-level algebra
- algebra elementarna ― elementary algebra
- algebra centralna prosta ― central simple algebra
- algebra łączna ― associative algebra
- algebra prosta ― simple algebra
- homomorfizm algebry ― homomorphism of algebra
- operatory algebry ― algebra operators
- twierdzenie algebry ― theorum/statement of algebra
- podręcznik algebry ― an algebra textbook
- teoria algebr ― theory of algebras
- wykładowca algebry ― an algebra instructor
- dział/zakład algebry ― the branch of algebra
- język algebry ― the language of algebra
- reprezentacja algebry ― representation of algebra
- nauczyciel algebry ― an algebra teacher
- podstawy algebry ― the basics of algebra
- zasady algebry ― the rules of algebra
- metody algebry ― methods of algebra
- system algebry ― system of algebra
- dziedzina algebry ― field of algebra
- konstrukcja algebry ― construction of algebra
- badania algebry ― algebra research
- rozwój algebry ― development algebra
- prawa algebry ― laws of algebra
- algebra Clifforda ― Clifford algebra
- algebra Liego ― Lie algebra
- algebra Bool-skiego/Boole'a/Boola ― Boolean algebra
- algebra Banacha ― Banach algebra
- algebra kwaternionów ― algebra of quaternions
- algebra termów ― algebra of terms
- algebra macierzy ― algebra of matrices
- algebra zbiorów ― algebra of sets
- algebra operatorów ― algebra of operators
- algebra liczb ― algebra of numbers
- algebra relacji ― algebra of relations
- używać algebry ― to use algebra
- uczyć algebry ― to teach algebra
- uczyć się algebry ― to learn algebra
- tworzyć algebrę ― to create algebra
References
- Mirosław Bańko; Lidia Wiśniakowska (2021) Wielki słownik wyrazów obcych, →ISBN
- Andrzej Bańkowski (2000) Etymologiczny słownik języka polskiego (in Polish)
- 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]
- 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
Further reading
- 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
Serbo-Croatian
Pronunciation
- IPA(key): /ǎlɡeːbra/
- Hyphenation: al‧ge‧bra
Noun
àlgēbra f (Cyrillic spelling а̀лге̄бра)
- algebra
Declension
singular | plural | |
---|---|---|
nominative | àlgēbra | algebre |
genitive | algebre | àlgēbārā / àlgēbrī |
dative | algebri | algebrama |
accusative | algebru | algebre |
vocative | algebro | algebre |
locative | algebri | algebrama |
instrumental | algebrom | algebrama |
Spanish
Noun
algebra
- Misspelling of álgebra.
Swedish
Noun
algebra c
- (mathematics) algebra
Declension
Declension of algebra | ||||
---|---|---|---|---|
Singular | Plural | |||
Indefinite | Definite | Indefinite | Definite | |
Nominative | algebra | algebran | algebror | algebrorna |
Genitive | algebras | algebrans | algebrors | algebrornas |
Related terms
- algebraisk
- relationsalgebra