algebra
Part of speech: noun
Morphological type: simple
Topics: algebra
mathematical-analysis
mathematics
medicine
sciences
set-theory
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”).
Inflected forms:
form: algebras
pos: noun
tags: plural
Senses:
gloss: Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
pos: noun
tags: uncountable
examples: 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.
gloss: 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).
pos: noun
tags: capitalized
sometimes
uncountable
gloss: Any of several objects of study in Algebra
pos: noun
tags: countable
uncountable
gloss: Any of several objects of study in Algebra
pos: noun
tags: countable
uncountable
gloss: 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).
pos: noun
tags: countable
gloss: 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.
pos: noun
tags: countable
figuratively
uncountable
examples: Fly ! Fly ! avaunt with that base cowardly gibbrish ; That Algebra of honour ; which had never Been nam'd, if all had equal courage—what?
gloss: The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
pos: noun
tags: historical
rare
uncountable
examples: 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.
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.
Related words: algebraic
algebraical
algebraically
algebraist
algorithm
Derived words: 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
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
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