algebra

名词 n.
中文释义
英 /ˈæl.dʒɪ.bɹə/    美 /ˈæl.d͡ʒɪ.bɹə/|/ˈæl.d͡ʒə.bɹə/

英文释义

名词 n.
  1. Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations. uncountable
    — Also the rule of false position, with dyuers examples not only vulgar, but some appertaynyng to the rule of Algeber.
  2. 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). capitalized,sometimes,uncountable
  3. Any of several objects of study in Algebra; A universal algebra. countable,uncountable
  4. Any of several objects of study in 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. countable,uncountable
  5. 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). countable
  6. 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. countable,figuratively,uncountable
    — Fly ! Fly ! avaunt with that base cowardly gibbrish ; That Algebra of honour ; which had never Been nam'd, if all had equal courage—what?
  7. The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture. historical,rare,uncountable
    — 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.

词形变化

algebras plural

词汇关系

衍生词
Abelian algebra abstract algebra Albert algebra algebraism algebraist algebraization algebraize algebralike algebra over a field algebra over a ring algebrician algebroid alternative algebra anti-algebra antialgebra 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 F-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 quaternion algebra reduced algebra semialgebra shuffle algebra sigma-algebra simple algebra subalgebra subalgebrae submultialgebra superalgebra superbialgebra superdialgebra switching algebra universal algebra vector algebra Weyl algebra Zinbiel algebra σ-algebra
相关词
algebraic algebraical algebraically algebraist algorithm

词源

Etymology tree
Arabic جَبَرَ (jabara)
Arabic الْجَبْر (al-jabr)bor.
Medieval Latin algebrabor.
English algebra
Borrowed from Medieval Latin algebra, from the Arabic 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”).
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