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[23]:=
> Series[a x^2 y +2 x y^2 a^2 + x/y+3 Sin[a x],{x,0,6}]
> Out[23]=
> 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[24]:=
> Series[a x^2 y +2 x y^2 a^2 + x/y+3 Sin[a x],{y,0,6}]
> Out[24]=
> x 2 2 2 7
> - + 3 Sin[a x] + a x y + 2 a x y + O[y]
> y
> In[25]:=
> Series[a x^2 y +2 x y^2 a^2 + x/y+3 Sin[a x],{x,0,6},{y,0,6}]
> Out[25]=
> 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
> >his or her head how to do this please share this insight.
> >
> >STH
> >
> >
> >
> >
> >
>
> Dr. Wouter L. J. MEEUSSEN
> eu000949 at pophost.eunet.be
> w.meeussen.vdmcc at vandemoortele.be