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MathGroup Archive 2005

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Time needed for calculation

  • To: mathgroup at smc.vnet.net
  • Subject: [mg62411] Time needed for calculation
  • From: JikaiRF at AOL.COM
  • Date: Wed, 23 Nov 2005 01:12:58 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Dear Sirs,
I have some questions about how long a computer can calculate, without 
damages on hard wear.
More specifically speaking, I intend to depict trajectories on (k, c) axis, 
which are derived from programming on Mathematica.
My program is as follows:

<< Graphics`ImplicitPlot`
L = 48;

a = 0.1;

A = 1;

r = 0.1;

t = 0.046296296296296294`;

ImplicitPlot[A r L (1 - a)((1 -t) c k^a == (a+(1-a)(1- t)) L^2 (1-a)^2 (1- t
)^3 k^(3a-1)
                     +L(1-a) c (1- t) (-A(a+(1-a)(1- t))(2- t)-(1-a)(1- t)^2 
+A a(1- t)) k^(2a-1)
                     +A c^2 (A(a+(1-a)(1- t))+(1-a)(1- t) -A a(1- t)) k^(a-1) 
+A^2 r c^2, {k, 0.8, 1.5}]

This program seems to work well.   However, I cannot obtain the curve which 
should be derived from the above program, though my computer continues to 
calculate more than fifteen minutes.   
 
I would like to know how   long a computer can calculate without damages on 
hardware, and additionally how long it takes to obtain the required curve based 
on my computer.
Especially, my computer is PowerBook G4 with 1.5 GHz processor. 

     Sincerely,
     Fujio Takata. 



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