different between algebra vs analysis
algebra
English
Etymology
From Medieval Latin algebr?ica, from Arabic word ????????? (al-jabr, “reunion, resetting of broken parts”) in the title of al-Khwarizmi's influential work ????????? ???????????? ??? ?????? ???????? ??????????????? (al-kit?b al-mu?ta?ar f? ?is?b al-jabr wa-l-muq?bala, “The Compendious Book on Calculation by Completion and Balancing”).
Pronunciation
- (UK) IPA(key): /?æl.d??.b??/
- (US) IPA(key): /?æl.d??.b??/, /?æl.d??.b??/
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.
- (uncountable, medicine, historical, rare) The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
- (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
- (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: ?-algebra
- (countable, mathematics) One of several other types of mathematical structure.
- (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.
Derived terms
Related terms
Translations
Anagrams
- Labarge
Czech
Etymology
From Arabic ????????? (al-jabr, “reunion, resetting of broken parts”); see also the English algebra.
Pronunciation
- IPA(key): [?al??bra]
Noun
algebra f
- algebra
Declension
Derived terms
- Booleova algebra
- booleovská algebra
Related terms
- algebraický
Further reading
- algebra in P?íru?ní slovník jazyka ?eského, 1935–1957
- algebra in Slovník spisovného jazyka ?eského, 1960–1971, 1989
Danish
Etymology
Borrowed from Medieval Latin algebra, from Arabic ????????? (al-jabr).
Noun
algebra c (singular definite algebraen, not used in plural form)
- (mathematics) algebra (using symbols)
- (mathematics) algebra (study of algebraical structures)
Declension
Dutch
Etymology
From Middle Dutch algebra, from Latin algebra, from Arabic ????????? (al-jabr).
Pronunciation
- IPA(key): /??l.???bra?/
- Hyphenation: al?ge?bra
Noun
algebra f (uncountable)
- (mathematics) algebra
- Synonyms: stelkunde, stelkunst
Derived terms
- algebraïcus
- algebraïsch
- algebraïst
- lineaire algebra
Finnish
Noun
algebra
- algebra
Declension
Hungarian
Etymology
From Latin algebra, from Arabic ????????? (al-jabr).
Pronunciation
- IPA(key): [??l??br?]
- Hyphenation: al?geb?ra
- Rhymes: -r?
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)
Declension
Derived terms
- algebrai
References
Further reading
- algebra in Bárczi, Géza and László Országh: A magyar nyelv értelmez? 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 2021)
Italian
Etymology
From Medieval Latin algebra, from Arabic ????????? (al-jabr, “reunion, resetting of broken parts”).
Pronunciation
- IPA(key): /?al.d??e.bra/
- Hyphenation: al?ge?bra
Noun
algebra f (plural algebre)
- algebra
Related terms
- algebrico
- algebrista
Anagrams
- alberga
Latin
Pronunciation
- (Classical) IPA(key): /?al.?e.bra/, [?ä????b?ä]
- (Ecclesiastical) IPA(key): /?al.d??e.bra/, [??l??d???b??]
Noun
algebra f (genitive algebrae); first declension
- (Medieval Latin, New Latin) algebra
Declension
First-declension noun.
References
- algebra in Charles du Fresne du Cange’s Glossarium Mediæ et Infimæ Latinitatis (augmented edition, 1883–1887)
Latvian
Etymology
Via other European languages, ultimately from Medieval Latin algebra, from Arabic ????????? (al-jabr, “reunion, resetting of broken parts”) in the title of al-Khwarizmi's influential work ????????? ???????????? ??? ?????? ????????? ??????????????? (al-kit?b al-mu?ta?ar f? ?is?b al-jabr wa-l-muq?bala, “The Compendious Book on Calculation by Completion and Balancing”).
Pronunciation
- IPA(key): [al??b?a]
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
Declension
Derived terms
- algebrisks
Norwegian Bokmål
Etymology
From Arabic ????????? (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 ????????? (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
From Italian, Spanish or mediaeval Latin, from Arabic ????????? (al-jabr) “reunion”, “resetting of broken parts”, used in the title of al-Khwarizmi’s influential work ????????? ???????????? ??? ?????? ???????? ??????????????? (al-kit?b al-mu?ta?ar f? ?is?b al-jabr wa-l-muq?bala, “the compendious book on restoration and equating like with like”).
Pronunciation
- IPA(key): /al???.bra/
Noun
algebra f
- algebra
Declension
Derived terms
- algebraiczny
- algebraicznie
- algebraik
Further reading
- algebra in Polish dictionaries at PWN
Serbo-Croatian
Pronunciation
- IPA(key): /?l?e?bra/
- Hyphenation: al?ge?bra
Noun
àlg?bra f (Cyrillic spelling ?????????)
- algebra
Declension
Spanish
Noun
algebra
- Misspelling of álgebra.
Swedish
Noun
algebra c
- (mathematics) algebra
Declension
Related terms
- algebraisk
- relationsalgebra
algebra From the web:
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analysis
English
Etymology
From Medieval Latin analysis, from Ancient Greek ???????? (análusis), from ?????? (analú?, “I unravel, investigate”), from ???- (ana-, “thoroughly”) + ??? (lú?, “I loosen”).
Pronunciation
- IPA(key): /??næl?s?s/, /??næl?s?s/
- Hyphenation: anal?y?sis
Noun
analysis (countable and uncountable, plural analyses)
- (countable) Decomposition into components in order to study (a complex thing, concept, theory etc.).
- (countable) The result of such a process.
- Thus, in a sequence such as [French English teacher], since English is closer to
the Head Noun teacher, it must be a Complement; and since French is further
away from teacher, it must be an Attribute. Hence, we correctly predict that
the only possible interpretation for [a French English teacher] is ‘a person who
teaches English who is French?. So our analysis not only has semantic plausi-
bility; but in addition it has independent syntactic support.
- Thus, in a sequence such as [French English teacher], since English is closer to
- (uncountable, mathematics) The mathematical study of functions, sequences, series, limits, derivatives and integrals.
- 2014, Lara Alcock, How to Think about Analysis, Oxford University Press, [1].
- Synonym: mathematical analysis
- (countable, logic) Proof by deduction from known truths.
- (countable, chemistry) The process of breaking down a substance into its constituent parts, or the result of this process.
- (uncountable, music) The analytical study of melodies, harmonies, sequences, repetitions, variations, quotations, juxtapositions, and surprises.
- (countable, psychology) Psychoanalysis.
Antonyms
- synthesis
Hyponyms
- cryptanalysis
- psychoanalysis
Derived terms
Related terms
- analyse, analyze
- analyst
- analyte
- analytic
Translations
See also
- List of terms used in mathematical analysis
Latin
Etymology
From Ancient Greek ???????? (análusis), from ?????? (analú?, “I unravel, investigate”), from ??? (aná, “on, up”) + ??? (lú?, “I loosen”).
Pronunciation
- (Classical) IPA(key): /a?na.ly.sis/, [ä?näl?s??s?]
- (Ecclesiastical) IPA(key): /a?na.li.sis/, [??n??lis?is]
Noun
analysis f (genitive analysis or analyse?s or analysios); third declension
- (Medieval Latin, mathematics) analysis
Declension
Third-declension noun (Greek-type, i-stem, i-stem).
1Found sometimes in Medieval and New Latin.
Descendants
analysis From the web:
- what analysis mean
- what analysis should i use
- what analysis is most justified by the excerpt
- what analysis is used in quantitative research
- what analysis to use for likert scale
- what analysis shows trends in performance
- what analysis of data
- what analysis in research
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