Differences between revisions 9 and 10
Revision 9 as of 2007-04-16 21:24:47
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Editor: c-67-183-64-183
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Revision 10 as of 2007-04-17 08:10:48
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Comment: removed self-advertising, added some brief nodes about linear/commutative algebra
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 * Computing a Groebner basis is fast because of the SINGULAR computer algebra system.
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 * Using the notebook, Timothy Clemans has made an app that shows the calculation of the GCD of a list of numbers using cancellation and an app that given a factorable trinomial where A = 1 a visualization of finding the solution is given.  * 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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 * 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.

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

Plotting

cando (last edited 2008-11-14 13:42:15 by localhost)