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The Magma system is used extensively within pure mathematics. The
Computational Algebra Group maintain a list of publications that cite Magma, and as of 2010 there are about 2600 citations, mostly in pure mathematics, but also including papers from areas as diverse as economics and geophysics.
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scientific research or educational institutions. All students, researchers and faculty associated with a participating institution will be able to access Magma for free, through that institution.
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Magma was officially released in August 1993 (version 1.0). Version 2.0 of Magma was released in June 1996 and subsequent versions of 2.X have been released approximately once per year.
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Magma has a type for invariant rings of finite groups, for which one can primary, secondary and fundamental invariants, and compute with the module structure.
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computer algebra system for comprehensive computations in algebraic number fields. A special type also allows one to compute in the
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Magma has extensive tools for computing in representation theory, including the computation of
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Magma V2.12 is apparently "Overall Best in the World at
Polynomial GCD" :-)
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Magma's High
Performance for computing Hermite Normal Forms of integer matrices
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algorithms for all fundamental integer and polynomial operations, such as the
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In 2013, the
Computational Algebra Group finalized an agreement with the
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The predecessor of the Magma system was named Cayley (1982–1993), after
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as volume 19 of the
Algorithms and Computations in Mathematics series.
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algorithms for all fundamental dense matrix operations, such as
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algorithms for reducing sparse systems which arise in
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for fast multiplication of integers and polynomials.
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196:Sydney School of Mathematics and Statistics
1006:Computer algebra system software for macOS
1001:Computer algebra system software for Linux
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561:"Summary of New Features in Magma V2.27-8"
115:Cost recovery (non-commercial proprietary)
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190:Magma is produced and distributed by the
251:Mathematical areas covered by the system
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425:Magma has a provable implementation of
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693:von Publikationen, die Magma zitieren
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592:"Discovering Mathematics with Magma"
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38:School of Mathematics and Statistics
207:Discovering Mathematics with Magma
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606:"Published Research Citing Magma"
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148:designed to solve problems in
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81:C (kernel), Magma (libraries)
36:Computational Algebra Group,
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897:Engineering Equation Solver
192:Computational Algebra Group
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639:"Magma 2.13 release notes"
402:methods, while Magma uses
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637:John Cannon (July 2006).
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728:Computer algebra systems
164:. It is named after the
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376:Strassen multiplication
340:Algebraic number theory
322:algorithms include the
205:In late 2006, the book
146:computer algebra system
104:Computer algebra system
60:; 18 months ago
883:symbolic math toolbox)
624:Magma Computer Algebra
283:(finite or infinite),
466:Representation theory
324:Elliptic Curve Method
320:Integer factorization
293:straight-line program
1021:Functional languages
514:incidence structures
454:Faugère F4 algorithm
392:Gaussian elimination
200:University of Sydney
42:University of Sydney
508:Arithmetic geometry
442:Commutative algebra
372:asymptotically fast
346:Magma includes the
312:asymptotically fast
166:algebraic structure
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686:Magma example code
503:Algebraic geometry
332:Number field sieve
273:finitely presented
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186:Introduction
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32:Developer(s)
872:Mathematica
839:Proprietary
736:Open-source
354:of a field.
265:permutation
194:within the
995:Categories
938:Mathomatic
547:References
498:Lie theory
480:algorithm.
285:polycyclic
78:Written in
65:2023-02-22
824:Xcas/Giac
784:Macaulay2
404:Markowitz
241:nonprofit
173:Unix-like
967:Category
928:LiveMath
814:Singular
809:SageMath
794:Normaliz
535:See also
417:and the
415:Lattices
407:pivoting
330:and the
211:Springer
158:geometry
933:Macsyma
867:Mathcad
799:PARI/GP
749:Cadabra
512:Finite
478:Meataxe
396:Lanczos
281:abelian
277:soluble
221:History
198:at the
180:Windows
150:algebra
120:Website
111:License
63: (
948:ALTRAN
943:muMATH
923:Erable
918:Derive
881:MATLAB
804:Reduce
789:Maxima
764:FriCAS
759:Fermat
672:(2004)
326:, the
296:groups
269:matrix
127:.maths
913:CAMAL
877:muPAD
862:Maple
857:Magma
829:Yacas
819:SymPy
779:GiNaC
754:CoCoA
744:Axiom
691:Liste
578:(PDF)
289:braid
169:magma
144:is a
142:Magma
129:.usyd
125:magma
17:Magma
979:List
852:KANT
769:FORM
444:and
394:and
362:and
348:KANT
291:and
160:and
131:.edu
99:Type
774:GAP
430:LLL
133:.au
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Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.
