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== Interfaces ==
 * SAGE provides interfaces to the mathematical software 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.

What SAGE Can Do

Calculus

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.

Finite Fields

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

Graphical Interface

Group Theory

Interfaces

  • SAGE provides interfaces to the mathematical software 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.

Linear Algebra

  • 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

Numerical Computation

p-adic Numbers

Plotting

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