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MathGroup Archive 1995

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Strange result from Mma Series [...]

  • To: mathgroup at christensen.cybernetics.net
  • Subject: [mg1622] Strange result from Mma Series [...]
  • From: carlos at mars.Colorado.EDU (Carlos A. Felippa)
  • Date: Thu, 6 Jul 1995 23:43:01 -0400
  • Organization: University of Colorado, Boulder

  I thought I understood Taylor series but ...
  Produced by Mathematica 2.2 (Notebook interface) on a mac:

  f=r*(16*(12*s + r^2*s^3))/(3*r*(4 + s^2)^2*(12 - r^2*s^2));

  Print[Series[f,{r,0,1},{s,0,1}]];
  Print[Series[f,{r,0,1},{s,0,2}]];
  Print[Series[f,{r,0,2},{s,0,2}]];

  s       2       2
  - + O[s]  + O[r]
  3
       3    5    7
  s   s    s    s        8       2
  - - -- + -- - -- + O[s]  + O[r]
  3   6    16   48
  s       3       3  2       3
  - + O[s]  + O[s]  r  + O[r]
  3

  If the 2nd result is right, can a mathematician please explain why?


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