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algebra

noun
/ˈæl.dʒɪ.bɹə/UK/ˈæl.d͡ʒɪ.bɹə/US/əlˈdʒibrɑ/

Etymology

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”).

  1. derived from جبر
  2. borrowed from algebra

Definitions

  1. Elementary algebra

    Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.

    • Also the rule of false position, with dyuers examples not only vulgar, but some appertaynyng to the rule of Algeber.
    • 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.

  2. Abstract algebra

    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).

  3. Any of several objects of study in Algebra

  4. ›+ 3 more definitions

    1. A collection of subsets of a given set, such that this collection contains the empty set,…

      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).

    2. A system or process (especially one that is complex or convoluted) that substitutes one…

      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.

      • Fly ! Fly ! avaunt with that base cowardly gibbrish ; That Algebra of honour ; which had never Been nam'd, if all had equal courage—what?

    3. The surgical treatment of a dislocated or fractured bone. Also (countable)

      The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.

      • 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.

The neighborhood

Derived

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, finite algebra, free algebra, free Boolean algebra, Grassmann algebra, hard as Chinese algebra, Hecke algebra, Heyting algebra, homological algebra · +42 more

Vish — recursive loop

A definitional loop anchored at algebra. Each word in the ring is defined by the next; follow the chain far enough and it folds back on itself. Scroll to it and watch.

01algebra02dealing03relations04relation05relationship06ordered07algebraic

A definitional loop anchored at algebra. Each word in the ring appears in the definition of the next; follow the chain far enough and it folds back on itself.

7 hops · closes at algebra

curated · pre-corpus. live cycle detection across the full graph is the next major milestone.

sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA