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[Axiom-developer] Integration in Axiom?
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C Y |
Subject: |
[Axiom-developer] Integration in Axiom? |
Date: |
Sat, 13 Aug 2005 22:07:08 -0700 (PDT) |
Curosity question - are there any known limitations to Axiom's current
integration routines compared to the "state of the art" algorithms? I
ask because I get the following doing the same integral in Maxima vs.
Axiom (note I'm not sure if Maxima is correct):
AXIOM Computer Algebra System
Version: Axiom 3.6 (June 2005)
Timestamp: Wednesday July 27, 2005 at 12:16:43
-----------------------------------------------------------------------------
Issue )copyright to view copyright notices.
Issue )summary for a summary of useful system commands.
Issue )quit to leave AXIOM and return to shell.
-----------------------------------------------------------------------------
Re-reading compress.daase Re-reading interp.daase
Re-reading operation.daase
Re-reading category.daase
Re-reading browse.daase
(1) ->
(1) -> integrate(sin(x**2),x)
UserDefinedPartialOrdering
x
++ 2
(1) | sin(%I )d%I
++
Type: Union(Expression
Integer,...)
(2) ->
Maxima 5.9.1.1cvs http://maxima.sourceforge.net
Using Lisp CMU Common Lisp 19b (19B)
Distributed under the GNU Public License. See the file COPYING.
Dedicated to the memory of William Schelter.
This is a development version of Maxima. The function bug_report()
provides bug reporting information.
(%i1) integrate(sin(x**2),x);
(sqrt(2) %i + sqrt(2)) x
(%o1) sqrt(%pi) ((sqrt(2) %i + sqrt(2)) erf(------------------------)
2
(sqrt(2) %i - sqrt(2)) x
+ (sqrt(2) %i - sqrt(2)) erf(------------------------))/8
2
(%i2)
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