algebra
English
editEtymology
editBorrowed 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
editNoun
editalgebra (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
editTranslations
edit
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Anagrams
editCzech
editEtymology
editBorrowed from Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”); see also the English algebra.
Pronunciation
editNoun
editalgebra f
Declension
editDerived terms
editRelated terms
editFurther reading
editDanish
editEtymology
editBorrowed from Medieval Latin algebra, from Arabic الْجَبْر (al-jabr).
Noun
editalgebra c (singular definite algebraen, not used in plural form)
- (mathematics) algebra (using symbols)
- (mathematics) algebra (study of algebraical structures)
Declension
editcommon gender |
Singular | |
---|---|---|
indefinite | definite | |
nominative | algebra | algebraen |
genitive | algebras | algebraens |
Dutch
editEtymology
editFrom Middle Dutch algebra, from Latin algebra, from Arabic الْجَبْر (al-jabr).
Pronunciation
editNoun
editalgebra f (uncountable)
Derived terms
editFinnish
editEtymology
editFrom New Latin algebra, from Arabic الْجَبْر (al-jabr).
Pronunciation
editNoun
editalgebra
Declension
editInflection 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. |
Derived terms
editFurther 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
editEtymology
editFrom Latin algebra, from Arabic الْجَبْر (al-jabr).[1]
Pronunciation
editNoun
editalgebra
- (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
editInflection (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
editReferences
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 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
editEtymology
editFrom Medieval Latin algebra, from Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”).
Pronunciation
editNoun
editalgebra f (plural algebre)
Related terms
editAnagrams
editLatin
editEtymology
editBorrowed from Arabic الْجَبْر (al-jabr, “reunion, resetting of broken parts”).
Pronunciation
edit- (Classical Latin) IPA(key): /ˈal.ɡe.bra/, [ˈäɫ̪ɡɛbrä]
- (modern Italianate Ecclesiastical) IPA(key): /ˈal.d͡ʒe.bra/, [ˈäl̠ʲd͡ʒebrä]
Noun
editalgebra f (genitive algebrae); first declension
Declension
editFirst-declension noun.
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
editEtymology
editVia 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
editNoun
editalgebra 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
editsingular (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
editNorwegian Bokmål
editEtymology
editFrom Arabic الْجَبْر (al-jabr), via Medieval Latin algebra.
Noun
editalgebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)
Derived terms
editReferences
edit- “algebra” in The Bokmål Dictionary.
Norwegian Nynorsk
editEtymology
editFrom Arabic الْجَبْر (al-jabr), via Medieval Latin algebra.
Noun
editalgebra m (definite singular algebraen, indefinite plural algebraer, definite plural algebraene)
Derived terms
editReferences
edit- “algebra” in The Nynorsk Dictionary.
Polish
editEtymology
editInternationalism; 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
editNoun
editalgebra f
- algebra (field of mathematics)
Declension
editDerived terms
editCollocations
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
- 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
editPronunciation
editNoun
editàlgēbra f (Cyrillic spelling а̀лге̄бра)
Declension
editFurther reading
edit- “algebra”, in Hrvatski jezični portal [Croatian language portal] (in Serbo-Croatian), 2006–2024
Spanish
editNoun
editalgebra
- Misspelling of álgebra.
Swedish
editNoun
editalgebra c
Declension
editRelated terms
editWelsh
editNoun
editalgebra m or f (uncountable)
- (mathematics) algebra
- Synonym: (obsolete) alsoddeg
Mutation
editradical | 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
edit- 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
- English terms borrowed from Medieval Latin
- English terms derived from Medieval Latin
- English terms derived from Arabic
- English terms derived from the Arabic root ج ب ر
- English 3-syllable words
- English terms with IPA pronunciation
- English terms with audio pronunciation
- English lemmas
- English nouns
- English uncountable nouns
- English countable nouns
- en:Mathematics
- English terms with quotations
- en:Algebra
- en:Set theory
- en:Mathematical analysis
- en:Medicine
- English terms with historical senses
- English terms with rare senses
- Czech terms borrowed from Arabic
- Czech terms derived from Arabic
- Czech terms with IPA pronunciation
- Czech lemmas
- Czech nouns
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- Czech hard feminine nouns
- Czech nouns with reducible stem
- cs:Algebra
- Danish terms borrowed from Medieval Latin
- Danish terms derived from Medieval Latin
- Danish terms derived from Arabic
- Danish lemmas
- Danish nouns
- Danish common-gender nouns
- da:Mathematics
- Dutch terms inherited from Middle Dutch
- Dutch terms derived from Middle Dutch
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- Dutch lemmas
- Dutch nouns
- Dutch uncountable nouns
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- nl:Mathematics
- Finnish terms borrowed from New Latin
- Finnish terms derived from New Latin
- Finnish terms derived from Arabic
- Finnish 3-syllable words
- Finnish terms with IPA pronunciation
- Rhymes:Finnish/ɑlɡebrɑ
- Rhymes:Finnish/ɑlɡebrɑ/3 syllables
- Finnish lemmas
- Finnish nouns
- Finnish omena-type nominals
- fi:Mathematics
- Hungarian terms derived from Latin
- Hungarian terms derived from Arabic
- Hungarian terms with IPA pronunciation
- Rhymes:Hungarian/rɒ
- Hungarian lemmas
- Hungarian nouns
- hu:Mathematics
- hu:Education
- Hungarian terms with usage examples
- Italian terms derived from Medieval Latin
- Italian terms derived from Arabic
- Italian 3-syllable words
- Italian terms with IPA pronunciation
- Rhymes:Italian/aldʒebra
- Rhymes:Italian/aldʒebra/3 syllables
- Italian lemmas
- Italian nouns
- Italian countable nouns
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- it:Algebra
- Latin terms borrowed from Arabic
- Latin terms derived from Arabic
- Latin 3-syllable words
- Latin terms with IPA pronunciation
- Latin lemmas
- Latin nouns
- Latin first declension nouns
- Latin feminine nouns in the first declension
- Latin feminine nouns
- Medieval Latin
- New Latin
- la:Mathematics
- Latvian terms derived from Medieval Latin
- Latvian terms with IPA pronunciation
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- Latvian lemmas
- Latvian nouns
- Latvian feminine nouns
- Latvian terms with usage examples
- Latvian fourth declension nouns
- lv:Algebra
- lv:Mathematics
- Norwegian Bokmål terms derived from Arabic
- Norwegian Bokmål terms derived from Medieval Latin
- Norwegian Bokmål lemmas
- Norwegian Bokmål nouns
- Norwegian Bokmål masculine nouns
- nb:Mathematics
- Norwegian Nynorsk terms derived from Arabic
- Norwegian Nynorsk terms derived from Medieval Latin
- Norwegian Nynorsk lemmas
- Norwegian Nynorsk nouns
- Norwegian Nynorsk masculine nouns
- nn:Mathematics
- Polish internationalisms
- Polish terms derived from Medieval Latin
- Polish terms derived from Arabic
- Polish 3-syllable words
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- Rhymes:Polish/ɛbra
- Rhymes:Polish/ɛbra/3 syllables
- Polish lemmas
- Polish nouns
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- Polish terms with collocations
- pl:Algebra
- Serbo-Croatian terms with IPA pronunciation
- Serbo-Croatian lemmas
- Serbo-Croatian nouns
- Serbo-Croatian feminine nouns
- Spanish non-lemma forms
- Spanish misspellings
- Swedish lemmas
- Swedish nouns
- Swedish common-gender nouns
- sv:Mathematics
- Welsh lemmas
- Welsh nouns
- Welsh uncountable nouns
- Welsh masculine nouns
- Welsh feminine nouns
- Welsh nouns with multiple genders
- cy:Mathematics