algebra
English
[edit]Etymology
[edit]Borrowed from Medieval Latin algebra, 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]- “algebra”, in Příruční slovník jazyka českého (in Czech), 1935-1957
- “algebra”, in Slovník spisovného jazyka českého (in Czech), 1960–1971, 1989
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 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
[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 Latin) 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]![](http://upload.wikimedia.org/wikipedia/commons/thumb/c/c4/Quadratic_formula.svg/250px-Quadratic_formula.svg.png)
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]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
- 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
[edit]Pronunciation
[edit]Noun
[edit]àlgēbra f (Cyrillic spelling а̀лге̄бра)
Declension
[edit]Further reading
[edit]- “algebra” in Hrvatski jezični portal
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 |
Related terms
[edit]- 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 links
- 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
- Czech feminine nouns
- 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
- Dutch terms derived from Latin
- Dutch terms derived from Arabic
- Dutch terms with IPA pronunciation
- Dutch terms with audio links
- Dutch lemmas
- Dutch nouns
- Dutch uncountable nouns
- Dutch feminine nouns
- 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
- Italian feminine nouns
- 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
- Latvian terms with audio links
- 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
- Polish terms with IPA pronunciation
- Polish terms with audio links
- Rhymes:Polish/ɛbra
- Rhymes:Polish/ɛbra/3 syllables
- Polish lemmas
- Polish nouns
- Polish feminine nouns
- 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