algebra
English edit
Etymology edit
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 edit
Noun edit
algebra (countable and uncountable, plural algebras)
- (uncountable, mathematics) Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
- 1551, James A.H. Murray, editor, A New English Dictionary on Historical Principles: Founded Mainly on the Materials Collected by the Philological Society.[1], 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[2], 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, 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).
- (countable, mathematics, algebra) Any of several objects of study in Algebra
- A universal 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
- (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
- (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?
- (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 edit
- abelian algebra
- Abelian algebra
- abstract algebra
- Albert algebra
- algebraism
- algebraist
- algebraization
- algebraize
- algebralike
- algebra over a field
- algebra over a ring
- algebrician
- algebroid
- alternative algebra
- antialgebra
- anti-algebra
- Artin algebra
- associative algebra
- Azumaya algebra
- bialgebra
- Boolean algebra
- Borel σ-algebra
- central simple algebra
- Clifford algebra
- coalgebra
- cogebra
- 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
- Hecke algebra
- Heyting algebra
- homological algebra
- Hopf algebra
- Hurwitz algebra
- hyperalgebra
- Iwahori-Hecke algebra
- 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
- shuffle algebra
- simple algebra
- subalgebra
- subalgebrae
- submultialgebra
- superalgebra
- superbialgebra
- superdialgebra
- switching algebra
- universal algebra
- vector algebra
- Weyl algebra
- Zinbiel algebra
- σ-algebra
Related terms edit
Translations edit
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Anagrams edit
Czech edit
Etymology edit
Borrowed from Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”); see also the English algebra.
Pronunciation edit
Noun edit
algebra f
Declension edit
Derived terms edit
Related terms edit
Further reading edit
Danish edit
Etymology edit
Borrowed from Medieval Latin algebra, from Arabic الْجَبْر (al-jabr).
Noun edit
algebra c (singular definite algebraen, not used in plural form)
- (mathematics) algebra (using symbols)
- (mathematics) algebra (study of algebraical structures)
Declension edit
common gender |
Singular | |
---|---|---|
indefinite | definite | |
nominative | algebra | algebraen |
genitive | algebras | algebraens |
Dutch edit
Etymology edit
From Middle Dutch algebra, from Latin algebra, from Arabic الْجَبْر (al-jabr).
Pronunciation edit
Noun edit
algebra f (uncountable)
Derived terms edit
Finnish edit
Etymology edit
From New Latin algebra, from Arabic الْجَبْر (al-jabr).
Pronunciation edit
Noun edit
algebra
Declension edit
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 | ||
abessive | algebratta | algebroitta algebritta | ||
instructive | — | algebroin algebrin | ||
comitative | See the possessive forms below. |
Derived terms edit
Further reading edit
- “algebra”, in Kielitoimiston sanakirja [Dictionary of Contemporary Finnish][6] (in Finnish) (online dictionary, continuously updated), Kotimaisten kielten keskuksen verkkojulkaisuja 35, Helsinki: Kotimaisten kielten tutkimuskeskus (Institute for the Languages of Finland), 2004–, retrieved 2023-07-02
Hungarian edit
Etymology edit
From Latin algebra, from Arabic الْجَبْر (al-jabr).[1]
Pronunciation edit
Noun edit
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 edit
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 edit
References edit
- ^ 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 edit
- algebra in Bárczi, Géza and László Országh. A magyar nyelv értelmező szótára (‘The Explanatory Dictionary of the Hungarian Language’, abbr.: ÉrtSz.). 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 2024)
Italian edit
Etymology edit
From Medieval Latin algebra, from Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”).
Pronunciation edit
Noun edit
algebra f (plural algebre)
Related terms edit
Anagrams edit
Latin edit
Etymology edit
Borrowed from Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”).
Pronunciation edit
- (Classical) IPA(key): /ˈal.ɡe.bra/, [ˈäɫ̪ɡɛbrä]
- (modern Italianate Ecclesiastical) IPA(key): /ˈal.d͡ʒe.bra/, [ˈäl̠ʲd͡ʒebrä]
Noun edit
algebra f (genitive algebrae); first declension
Declension edit
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 edit
- 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 edit
Etymology edit
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 edit
(file) |
Noun edit
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 edit
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 edit
Norwegian Bokmål edit
Etymology edit
From Arabic الْجَبْر (al-jabr), via Medieval Latin algebra.
Noun edit
algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)
Derived terms edit
References edit
- “algebra” in The Bokmål Dictionary.
Norwegian Nynorsk edit
Etymology edit
From Arabic الْجَبْر (al-jabr), via Medieval Latin algebra.
Noun edit
algebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)
Derived terms edit
References edit
- “algebra” in The Nynorsk Dictionary.
Polish edit
Etymology edit
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 edit
Noun edit
algebra f
- algebra (field of mathematics)
Declension edit
Derived terms edit
Collocations edit
- uogólniona algebra ― generalized algebra
- matematyczna algebra ― mathematical 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 edit
- ^ Mirosław Bańko, Lidia Wiśniakowska (2021) “algebra”, in Wielki słownik wyrazów obcych, →ISBN
- ^ Bańkowski, Andrzej (2000) “algebra”, in Etymologiczny słownik języka polskiego [Etymological Dictionary of the Polish Language] (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]
Further reading edit
- 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[7]
- Aleksander Zdanowicz (1861) “algiebra”, in Słownik języka polskiego, Wilno 1861[8]
- J. Karłowicz, A. Kryński, W. Niedźwiedzki, editors (1900), “algiebra”, in Słownik języka polskiego[9] (in Polish), volume 1, Warsaw, page 24
Serbo-Croatian edit
Pronunciation edit
Noun edit
àlgēbra f (Cyrillic spelling а̀лге̄бра)
Declension edit
Spanish edit
Noun edit
algebra
- Misspelling of álgebra.
Swedish edit
Noun edit
algebra c
Declension edit
Declension of algebra | ||||
---|---|---|---|---|
Singular | Plural | |||
Indefinite | Definite | Indefinite | Definite | |
Nominative | algebra | algebran | algebror | algebrorna |
Genitive | algebras | algebrans | algebrors | algebrornas |