Differences between revisions 1 and 12 (spanning 11 versions)

What SAGE Can Do

Calculus

Computing a Groebner basis is fast because of the SINGULAR computer algebra system.

The notebook is a useful tool for basic math education because of its flexible visualization/output capabilities.

Basic arithmetic over finite extension fields is fast because of the Givaro library.

SAGE provides interpreter interfaces to Axiom, CoCoA, GAP, KASH, Macaulay2, Magma, Maple, Mathematica, Matlab, Maxima, MuPAD, Octave, and Singular.
SAGE provides C/C++-library interfaces to NTL, PARI, Linbox, and mwrank.

The reduced row echelon form of e.g. dense 20,000x20,000 matrices over GF(2) can be computed in seconds and 50MB of RAM.
Computation of reduced row echelon forms of sparse matrices is supported.

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-== Commutative Algebra ==
+== Commutative Algebra ==

 * Computing a Groebner basis is fast because of the SINGULAR computer algebra system.

== Crypto ==

 * Classical ciphers are well supported.

== Elementary Education ==

 * The notebook is a useful tool for basic math education because of its flexible visualization/output capabilities.
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+ * Basic arithmetic over finite extension fields is fast because of the Givaro library.
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+== Interfaces ==

 * SAGE provides interpreter interfaces to Axiom, CoCoA, GAP, KASH, Macaulay2, Magma, Maple, Mathematica, Matlab, Maxima, MuPAD, Octave, and Singular.
 * SAGE provides C/C++-library interfaces to NTL, PARI, Linbox, and mwrank.
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-== Number Theory ==
+ * The reduced row echelon form of e.g. dense 20,000x20,000 matrices over GF(2) can be computed in seconds and 50MB of RAM.
 * Computation of reduced row echelon forms of sparse matrices is supported.

== Number Theory ==