Joshua Holden

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18 years, 8 days

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These are questions asked by Joshua Holden

Hi, everyone!

I'm trying to do some computations with (truncated) multivariable power series, which I'd like to put into Hironaka standard basis form.  This is almost the same as a Groebner basis, except that the "leading" terms have smallest degree instead of largest.  This requires slight changes to the algorithms in order to make sure they terminate.  Does anyone know if this has been implemented in Maple or have a good way to fake it?  Here's what I've thought of:

  • Using the Groebner package with grlex_min instead of grlex.  The documentation warns that this may not terminate, and sure enough, it doesn't.  (At least not before my computer runs out of memory.)
  • Replacing the truncated power series with their palindromes, using the Groebner package, and then switching back, making sure all the degrees are correctly accounted for.  This should work, but it's going to be a major pain.
  • Reimplementing the Groebner routines.  I'd really rather not, but I'd love to know if anyone else has.

Anybody have any other ideas or suggestions?

Thanks!

----Josh

I found some old Maple 6 worksheets that I wrote in 2003 and I want to see what's in them and probably transfer at least some of the content to new worksheets.  Most of them I can view just fine with Maple 16 standard interface but at least one of them comes out looking like all of the lines have been printed on top of each other --- completely illegible.  Now I can read the worksheet using Maple classic interface on my machine at home, but both of my machines at...

When I type

cos(x), sin(x)

and start the Plot Builder (using the contextual menu) the first option it gives me is for a 2-D plot.  However, when I type

cos(x), x

and start the Plot Builder the first option is a 2-D polar plot and the "standard" 2-D plot is nowhere on the list.  Is this a known bug?  (I'm using Maple 15.01 on Windows 7.)

 

Thanks,

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