algebra
algebra
Definition
al·ge·bra (al′jə brə)
noun
- a mathematical system using symbols, esp. letters, to generalize certain arithmetic operations and relationships (Ex.: x + y = x represents a unique relationship between x and y, and has an infinite number of examples, as 3 + 6 = 9)
- any of various symbolic mathematical systems having formal rules of operation, defined relationships, finite processes, etc. Boolean algebra
- a textbook or treatise dealing with algebra
Etymology: ME < ML < Ar al-jabr, the reunion of broken parts < al, the + jabara, to reunite
al′·ge·bra′·ist (-brā′ist) noun
algebra
Usage Examples
Preposition: of
- observables: Accordingly everything is expressed in terms of local algebras of observables.
- matrix: Much of this work is based on the notion of a C* algebras, a natural abstraction of algebras of matrices.
Converse of object
- envelop: In Chapter 2. we give a short summary of parts of the theory of quantized enveloping algebras.
- associate: Current projects include: The structure of operator algebras associated with certain groups.
- construct: Another approach is to construct algebras directly from the algebraic group itself.
- teach: He has also developed TREEFROG - a software package to teach algebra at schools.
Adjective modifier
- associative: We call a free associative algebra A over R a polynomial ring over R.
- commutative: The method is similar in some respects to the treatment of non commutative algebras.
- linear: Outline content: The module starts with review of linear algebra.
- stochastic: Analysis of a multimedia stream using stochastic process algebra.
- geometric: Geometric algebra can be applied to any subject in mathematics, physics or engineering which is in some part rooted in geometry.
- topological: In the algebraic theory of data, continuous data types are modeled by topological algebras.
Modifies a noun
- package: The basic toolbox also allows you to access functions in Maple's linear algebra package.
- module: Soon we will be doing an algebra module from our scheme of work.
Noun used with modifier
- quaternion: An error in the computation of inverses in quaternion algebras with non-standard parameters.
- matrix: In addition: the authors include in an appendix a review of all relevant topics in matrix algebra.
- vector: The vast majority of simulations of physical systems, including the movement of rigid bodies under forces, are carried out using vector algebra.
- computer: Have strong linkage to the Maple computer algebra system.
- operator: Current projects include: The structure of operator algebras associated with certain groups.
- quantum: The counterexample is the quantum exterior algebra in 2 variables.
Browse dictionary entries near algebra
- alge-
- algarroba
- algae
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- Alg
- Alfvén wave
- alfresco
- Alfredo
- Alfreda
- Alfred the Great
- algebraic
- Algebraic Code Excited Linear Prediction
- algebraic number
- Algeciras
- Alger
- Algeria
- Algerine
- Algernon
- algesi-
- -algia
