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MathGroup Archive 1993

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BigSeriesExpansion

  • To: mathgroup at yoda.physics.unc.edu
  • Subject: BigSeriesExpansion
  • From: puglisi at settimo.italtel.it
  • Date: Mon, 8 Nov 93 15:36:45 MST

Milan 8, Nov. 93

Joe Writes:

> Hello, I am a user of Mathematica carrying out very
> large symbolic computations and I would like to know
> whether anyone else has been doing the same kind
> of work or has been having the same type
> of problems.
> The operations are simple, but the terms involved
> are many.
> Has anyone ever Expanded more than 100,000 terms?
> I have problems with a Quadra 900 with 30 Megs of
> Ram assigned to Math. (in virtual memory). The
> Mac seems to stall after having used up 9 or 10 megs.
>  The operations I do are:

> Normal[Series[Sqrt[1+FF],{FF,0,10}]
> Expand[%]

> and the catch is that FF is about 100 terms
> (symbolic).
> Anyone done it before?

> Let me know.
> Best regards,  Joe
 _______________________________________________
 
You are probably doing something wrong, your memory size should handle
the 11 x 100 =1100 terms of your expansion.

I hope the example below will help.


In[8]:= Normal[Series[Sqrt[1+FF],{FF,0,10}]]

                   2     3       4       5        6        7         8
            FF   FF    FF    5 FF    7 FF    21 FF    33 FF    429 FF
Out[8]= 1 + -- - --- + --- - ----- + ----- - ------ + ------ - ------- + 
            2     8    16     128     256     1024     2048     32768
 
           9          10
     715 FF    2431 FF
>    ------- - ---------
      65536     262144

In[9]:= %/.FF->(x+y)^2 (* Here you can replace your 100 terms true value for FF *)

                   2          4          6            8            10
            (x + y)    (x + y)    (x + y)    5 (x + y)    7 (x + y)
Out[9]= 1 + -------- - -------- + -------- - ---------- + ----------- - 
               2          8          16         128           256
 
               12             14              16              18
     21 (x + y)     33 (x + y)     429 (x + y)     715 (x + y)
>    ------------ + ------------ - ------------- + ------------- - 
         1024           2048           32768           65536
 
                 20
     2431 (x + y)
>    --------------
         262144


Ciao

Alberto Puglisi

ITALTEL
Central Research Laboratories, DRSC-IS CLTB
20019 Castelletto di Settimo Milanese (Milano)
Italy
phone:  (+39)(2)4388-8299
fax:    (+39)(2)4388-7989
e-mail: puglisi at settimo.italtel.it






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