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algebra
(redirected from Algebras)

   Also found in: Encyclopedia, Wikipedia, Hutchinson 0.02 sec.
al·ge·bra  (lj-br)
n.
1. A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set.
2. A set together with a pair of binary operations defined on the set. Usually, the set and the operations include an identity element, and the operations are commutative or associative.

[Middle English, bone-setting, and Italian, algebra, both from Medieval Latin, from Arabic al-jabr (wa-l-muqbala), the restoration (and the compensation), addition (and subtraction) : al-, the + jabr, bone-setting, restoration (from jabara, to set (bones), force, restore; see gpr in Semitic roots).]

alge·braist (-brst) n.

algebra
Noun
a branch of mathematics in which symbols are used to represent numbers [Arabic al-jabr the reunion of broken parts]
algebraic adj

algebra  (lj-br)
A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or quantities and express general relationships that hold for all members of a specified set.

algebra
the branch of mathematics that treats the representation and manip-ulation of relationships among numbers, values, vectors, etc. — algebraic, adj.
See also: Mathematics
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.algebraalgebra - the mathematics of generalized arithmetical operations
transposition - (mathematics) the transfer of a quantity from one side of an equation to the other along with a change of sign
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
pure mathematics - the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
quadratics - a branch of algebra dealing with quadratic equations
linear algebra - the part of algebra that deals with the theory of linear equations and linear transformation
vector algebra - the part of algebra that deals with the theory of vectors and vector spaces
matrix algebra - the part of algebra that deals with the theory of matrices
Translations

algebra [ˈældʒɪbrə] nálgebra
algebra [ˈældʒɪbrə] nalgèbre m
algebra [ˈældʒɪbrə] nAlgebra f
algebra [ˈældʒɪbrə] nalgebra

algebra
n algebra [ˈӕldʒibrə]
a method of calculating using letters and signs to represent numbers. algebraجَبْر، عِلْم الجَبْرалгебраalgebraalgebra; bogstavregningdie Algebraάλγεβραálgebraalgebraجبرalgebraalgèbreאַלגֶבְרָהबीजगणितalgebraalgebraaljabaralgebraalgebra代数대수학algebraalgebraalgebraalgebraalgebra, bokstavregningalgebraálgebraalgebrăалгебраalgebraalgebraalgebraalgebraพีชคณิตcebir代數學алгебраالجبراđại số học
adj ˌalgeˈbraic [-breiik]
algebraïesجَبْرِي، مُخْتَص بِعِلْم الجَبْرалгебриченalgebraickýalgebraiskalgebraischαλγεβρικόςalgebraicoalgebralineجبریalgebranalgébriqueאַלגֶבְריबीजगणितीयalgebarskialgebraisecara aljabaralgebru-algebrico代数の대수의algebrinisalgebrisksalgebraalgebraa aschalgebraiskalgebraicznyalgébricoalgebricалгебраическийalgebrickýalgebrajskialgebarskialgebraiskเกี่ยวกับพีชคณิตcebirsel代數的алгебричнийالجبرے والاđại số

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This time, he used mathematical techniques based on Hecke algebras.
In 1984, he unexpectedly discovered a connection between von Neumann algebras (mathematical techniques that play a role in quantum mechanics) and knot theory.
"He made a connection between operator algebras and knot theory," says Birman, whose work on "braids" provided an important link.
 
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