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Re: [Axiom-math] repeated series expansion
From: |
Martin Rubey |
Subject: |
Re: [Axiom-math] repeated series expansion |
Date: |
Fri, 16 Jul 2010 22:43:37 +0200 |
User-agent: |
Gnus/5.11 (Gnus v5.11) Emacs/22.3 (gnu/linux) |
Vladimir Skokov <address@hidden> writes:
> Dear all,
>
> I have only started to learn axiom. Could you help me please?
> I have an expression, say sin(x+y). How could I perform expansion
> withe respect ot x and than to y?
>
> i.e.
>
> series( series( sin(x+y),x=0 ),y=0 )
>
> thank you in advance
In axiom there is another option:
(1) -> x := 'X::TS FRAC INT; y := 'Y::TS FRAC INT;
Type: TaylorSeries(Fraction(Integer))
(2) -> sin(x+y)
1 3 1 2 1 2 1 3
(2) (Y + X) + (- - Y - - X Y - - X Y - - X ) + O(5)
6 2 2 6
Type: TaylorSeries(Fraction(Integer))
However, currently there is no domain for generalised multivariate
Taylor series. I don't know how difficult that would be, and I didn't
think the maths through either.
Martin