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