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Re: [Axiom-math] Curious behavior of Taylor series
From: |
Jay Belanger |
Subject: |
Re: [Axiom-math] Curious behavior of Taylor series |
Date: |
Sun, 20 Aug 2006 20:38:58 -0500 |
User-agent: |
Gnus/5.11 (Gnus v5.11) Emacs/22.0.50 (gnu/linux) |
Martin Rubey <address@hidden> writes:
> "Igor Khavkine" <address@hidden> writes:
>
>> Can someone explain the following behavior of Taylor series in Axiom?
>>
>> (113) -> y := taylor x
>> (113) x
>> Type: UnivariateTaylorSeries(Expression Integer,x,0)
>> (114) -> x*y
>> (114) x x
>> Type: UnivariateTaylorSeries(Expression Integer,x,0)
>> (115) -> coefficient(%,1)
>> (115) x
>> Type: Expression Integer
>
> The reason is that Axiom cannot really know whether you meant x in (114) to be
> an element of the coefficient Ring EXPR INT, or to be a univariate Taylor
> series. In case of doubt, it usually chooses the wrong possibility :-)
When multiplying two elements, shouldn't Axiom try to coerce them to
be in the same structure? (I realize it doesn't, particularly here,
but wouldn't that be reasonable behavior?)
Jay
- [Axiom-math] Curious behavior of Taylor series, Igor Khavkine, 2006/08/20
- Re: [Axiom-math] Curious behavior of Taylor series, Martin Rubey, 2006/08/20
- Re: [Axiom-math] Curious behavior of Taylor series, Igor Khavkine, 2006/08/20
- Re: [Axiom-math] Curious behavior of Taylor series,
Jay Belanger <=
- Re: [Axiom-math] Curious behavior of Taylor series, Ralf Hemmecke, 2006/08/21
- Re: [Axiom-math] Curious behavior of Taylor series, Jay Belanger, 2006/08/21
- Re: [Axiom-math] Curious behavior of Taylor series, Ralf Hemmecke, 2006/08/21
- Re: [Axiom-math] Curious behavior of Taylor series, Martin Rubey, 2006/08/21
- Re: [Axiom-math] Curious behavior of Taylor series, Ralf Hemmecke, 2006/08/21
- Re: [Axiom-math] Curious behavior of Taylor series, Igor Khavkine, 2006/08/21
- Re: [Axiom-math] Curious behavior of Taylor series, Ralf Hemmecke, 2006/08/21
- Re: [Axiom-math] Curious behavior of Taylor series, Jay Belanger, 2006/08/21
- Re: [Axiom-math] Curious behavior of Taylor series, Ralf Hemmecke, 2006/08/21
- Re: [Axiom-math] Curious behavior of Taylor series, Jay Belanger, 2006/08/22