The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math.symbolic

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: The integration test suites for Sage.
Replies: 14   Last Post: Sep 14, 2013 1:53 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ] Topics: [ Previous | Next ]

Posts: 1,245
Registered: 4/26/08
Re: The integration test suites for Sage.
Posted: Sep 14, 2013 1:53 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply schrieb:
> I now have benchmarked SymPy 0.7.3, which was released
> on July 13, 2013. See the release notes [1].
> An implementation for SymPy can be found at github [2].
> The results are listed at [3].
> [1]
> [2]
> [3]

Your tests of the SymPy integrator reveal a glaring weakness in the
algebraic arena (most of Charlwood; Timofeev 124, 154-159, 165), and a
lesser one in the rational trigonometric arena (Charlwood 37; Timofeev
108, 114-117, 131, 162). So SymPy's Risch implementation doesn't really
cover trigonometric functions yet. Also Sympy's trigonometric
simplification fails to confirm many valid antiderivatives.

> > PS: How about contributing a chapter of the Timofeev suite yourself?
> Hm, my Russian is a little bit rosty, Genosse Martin!

No knowledge of Russian is needed to copy mathematical expressions from
a 20th century Russian book, and your appeal to comradeship doesn't make
this fact disappear. Some knack for mathematical puzzle solving is
needed, however, to undo any misprints in Timofeev's integrands with the
help of his evaluations. The "examples" for Chapter 5 start near the
bottom of page 202, for integral #4 you turn pages until you reach the
next example section on page 208. Subsequent sections start on pages
211, 213, 219, 223, and so on.

No more flimsy excuses!


Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.