On 07/ 5/10 06:18 AM, William Stein wrote:
Great idea - you could add an algorithm="axiom" option to sage's
integrate command.
Personally, and I am going to dare risk argue with a mathematician, I would not
have considered Axion an algorithm, but a software package. So something like
"method=use_axiom" would seem more logical to me.
Better still if Sage behaved like Mathematica, so seamlessly switched from one
method to another, if the first one fails. In other words, automatically switch
to Axiom if Maxima can't solve the integral - perhaps with a message like
"Unable to solve with Maxima, now trying Axiom". I would still leave the option
of someone just using Axiom though.
One of the annoying things with Sage, is that you often need to know what bit of
software to use to do something. With Mathematica, I can request a zero of a
Bessel function - I don't need to know that I should be doing this using mpmath
or whatever else can be used for finding zeros of Bessel functions (see recent
thread on this topic)
Dave
On Sunday, July 4, 2010, John<jakirk...@gmail.com> wrote:
I discovered the following article online (http://amca01.wordpress.com/
2010/01/08/symbolic-integration-with-an-open-source-cas/). Suggesting
that there are certain cases, in which sage fails to integrate
functions that can be integrated. The functions that the author of
this article said could not be integrated by sage, in fact, were not
integrated when I tested them today with the latest version that I
just now installed. In all fairness, Sage is very good and solves most
all of the integrals, but axiom can solve some cases where sage
cannot. For this reason, I feel it would be nice to have a more
directly integrated axiom to solve these problems and integrated what
sage cannot do normally.
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