
SageMath
 Referenced in 1970 articles
[sw00825]
 teaching in algebra, geometry, number theory, cryptography, numerical computation, and related areas. Both the Sage ... Maple, Mathematica, Magma, and MATLAB. Computer algebra system...

Z
 Referenced in 282 articles
[sw10291]
 necessary notions from the relational calculus are introduced, its algebraic properties are not mentioned; many ... much more simply and elegantly by relational algebra than in the pointwise fashion used...

MapReduce
 Referenced in 262 articles
[sw00546]
 applications. The translation and optimization from relational algebra operators to MapReduce programs is still...

CHEVIE
 Referenced in 237 articles
[sw04235]
 type, Coxeter groups, IwahoriHecke algebras and other related structures. It is based...

Eigen
 Referenced in 207 articles
[sw05781]
 template library for linear algebra: vectors, matrices, and related algorithms. It is versatile, fast, elegant...

RegularChains
 Referenced in 81 articles
[sw00796]
 compute modulo a set of algebraic relations. Automatic case discussion (and recombination) handles zerodivisors...

CoCoA
 Referenced in 654 articles
[sw00143]
 system for Computations in Commutative Algebra. It is able to perform simple and sophisticated operations ... multivaraiate polynomials and on various data related to them (ideals, modules, matrices, rational functions ... user interface common to most platforms. Computer algebra system...

SINGULAR
 Referenced in 1504 articles
[sw00866]
 field (e.g., finite fields, the rationals, floats, algebraic extensions, transcendental extensions), or localizations thereof ... freeresolution computations, and many more related functionalities. Based on an easytouse interactive...

ProbView
 Referenced in 27 articles
[sw09438]
 relational data model and a genericprobabilistic relational algebra that neatly captures various strategiessatisfying the postulates ... positive fragment of the probabilistic relational algebra have essentially the same data complexity as classical ... relational algebra. (3) We establish various containments and equivalences between algebraic expressions, similar in spirit...

redbKIT
 Referenced in 227 articles
[sw12977]
 discusses the related algorithmic and implementation aspects, and highlights their builtin algebraic and geometric...

HarmonicSums
 Referenced in 58 articles
[sw10035]
 used to compute algebraic and structural relations between the nested sums as well as between...

LAPACK
 Referenced in 1695 articles
[sw00503]
 generalized Schur) are also provided, as are related computations such as reordering of the Schur ... performed by calls to the Basic Linear Algebra Subprograms (BLAS). LAPACK is designed...

SemiPar
 Referenced in 726 articles
[sw07116]
 nonparametric regression can be viewed as a relatively simple extension of parametric regression and treat ... regression, though familiarity with matrix and linear algebra is assumed. Another audience that they...

RALL
 Referenced in 9 articles
[sw08505]
 RALL: Machinesupported proofs for relation algebra. We present a theorem proving system for abstract ... relation algebra called RALL (=RelationAlgebraic Language and Logic), based on the generic theorem prover ... with the full language of heterogeneous relation algebra including higherorder operators and domain constructions ... proof method exploits an isomorphism between relationalgebraic and predicatelogical formulas, relying...

TAX
 Referenced in 11 articles
[sw09437]
 develop such an algebra, called TAX (Tree Algebra for XML), for manipulating XML data, modeled ... natural extension of relational algebra, with a small set of operators. TAX is complete ... relational algebra extended with aggregation, and can express most queries expressible in popular XML query...

SuperLie
 Referenced in 24 articles
[sw14268]
 Mathematica package for calculations in Lie algebras and superalgebras. SuperLie is a Mathematicabased package ... scientific and computational problems related to Lie algebras and Lie superalgebras, their qdeformations included ... superspaces, algebras and modules over these algebras) in a way (hopefully) accessible to the engineer ... relation of Lie (super)algebrass, vacuum vectors (highest and lowest), compute Lie (super)algebra homology...

ore_algebra
 Referenced in 13 articles
[sw32569]
 present a Sage implementation of Ore algebras. The main features for the most common instances ... finite closure properties; natural transformations between related algebras; guessing; desingularization; solvers for polynomials, rational functions...

Dependencies
 Referenced in 13 articles
[sw14279]
 Dependencies: A Mathematica package for computing algebraic relations of Cfinite sequences and multisequences...

qseries
 Referenced in 13 articles
[sw16486]
 series and qproducts and finding algebraic relations between qseries. Andrews found an algorithm...

NTRU
 Referenced in 182 articles
[sw11761]
 mixing system suggested by polynomial algebra combined with a clustering principle based on elementary probability ... with the independence of reduction modulo two relatively prime integers...