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Open Source 'Sage' Takes Aim at High End Math Software
coondoggie writes "A new open source mathematics program is looking to push aside commercial software commonly used in mathematics education, in large government laboratories and in math-intensive research. The program's backers say the software, called Sage, can do anything from mapping a 12-dimensional object to calculating rainfall patterns under global warming."
When I meant not good at linear algebra, I meant that it is slow. For example, Sage is over 30x faster at computing the characteristic polynomial of a matrix over the integers. Regarding number theory, there isn't really any support in Mathematica for working with number fields, modular forms, or elliptic curves. What I meant by "real" programming language was that there is a lot of software out there that can be taken advantage of. Say for instance I need to work with data stored in an relational database. How easy is that to do with Mathematica? It is trivial with Sage since Sage uses Python. When Sage needs to do things fast, it uses Cython ( http://www.cython.org/ ) which is almost a superset of Python and compiles down to C.
--Mike