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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 [ˈældʒɪbrə]
n
1. (Mathematics) a branch of mathematics in which arithmetical operations and relationships are generalized by using alphabetic symbols to represent unknown numbers or members of specified sets of numbers
2. the branch of mathematics dealing with more abstract formal structures, such as sets, groups, etc
[from Medieval Latin, from Arabic al-jabr the bone-setting, reunification, mathematical reduction]
algebraist  [ˌældʒɪˈbreɪɪst] n

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 f

algebra [ˈældʒɪbrə] nalgèbre m

algebra
nAlgebra f

algebra [ˈældʒɪbrə] nalgebra

algebra
n algebra [ˈӕldʒibrə]
a method of calculating using letters and signs to represent numbers. algebra جَبْر، عِلْم الجَبْر алгебра algebra algebra; bogstavregning die Algebra άλγεβρα álgebra algebra جبر algebra algèbre אַלגֶבְרָה बीजगणित algebra algebra aljabar algebra algebra 代数 대수학 algebra algebra algebra algebra algebra, bokstavregning algebra álgebra algebră алгебра algebra algebra algebra algebra พีชคณิต cebir 代數學 алгебра الجبرا đại số học
adj algeˈbraic [-breiik]
algebraïes جَبْرِي، مُخْتَص بِعِلْم الجَبْر алгебричен algebraický algebraisk algebraisch αλγεβρικός algebraico algebraline جبری algebran algébrique אַלגֶבְרי बीजगणितीय algebarski algebrai secara aljabar algebru- algebrico 代数の 대수의 algebrinis algebrisks algebra algebraa asch algebraisk algebraiczny algébrico algebric алгебраический algebrický algebrajski algebarski algebraisk เกี่ยวกับพีชคณิต cebirsel 代數的 алгебричний الجبرے والا đại 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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