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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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| == 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 == |
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
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