       Re: Taylor Series in R^n

• To: mathgroup at smc.vnet.net
• Subject: [mg8063] Re: [mg8019] Taylor Series in R^n
• From: hattons at CPKWEBSER5.ncr.disa.mil (Steven T. Hatton)
• Date: Mon, 4 Aug 1997 01:47:46 -0400
• Organization: Logicon supporting DISA
• Sender: owner-wri-mathgroup at wolfram.com

```Doc,

I was looking for something like:
Series[f[x,y ] ,{x,X,2},{y,Y,2}]
Which is exactly what you gave me without that impressive demonstration
of MMA's power.  The only thing cooler than the internet is MMA!

Thank you!

Steve
w.meeussen wrote:

> hi,
> something along these lines maybe?
>
> In:=
> Series[a x^2 y +2 x y^2 a^2 + x/y+3 Sin[a x],{x,0,6}]
> Out=
>                                   3  3    5  5
>        1      2  2           2   a  x    a  x        7
> (3 a + - + 2 a  y ) x + a y x  - ----- + ----- + O[x]
>        y                           2      40
> In:=
> Series[a x^2 y +2 x y^2 a^2 + x/y+3 Sin[a x],{y,0,6}]
> Out=
> x                   2        2    2       7
> - + 3 Sin[a x] + a x  y + 2 a  x y  + O[y]
> y
> In:=
> Series[a x^2 y +2 x y^2 a^2 + x/y+3 Sin[a x],{x,0,6},{y,0,6}]
> Out=
>                                                     3  3
>  1            2  2       7                 7   2   a  x
> (- + 3 a + 2 a  y  + O[y] ) x + (a y + O[y] ) x  - ----- +
>  y                                                   2
>
>    5  5
>   a  x        7
>   ----- + O[x]
>    40
>
> At 22:32 2-08-97 -0400, Steven T. Hatton wrote:
> >I have been kicking around using MMA to generate the Taylor series
> >expansion of a single valued function of n variables.  I think that
> MMA
> >can do this.  I am not what one would call a power user at this
> point.
> >If anybody has done this, has seen it done or just knows off the top
> of
> >
> >STH
> >
> >
> >
> >
> >
>
> Dr. Wouter L. J. MEEUSSEN
> eu000949 at pophost.eunet.be
> w.meeussen.vdmcc at vandemoortele.be

```

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