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MathGroup Archive 1999

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Re: Pi vs. 3.141592654

  • To: mathgroup at
  • Subject: [mg18102] Re: Pi vs. 3.141592654
  • From: Jens-Peer Kuska <kuska at>
  • Date: Thu, 17 Jun 1999 12:26:39 -0400
  • Organization: Universitaet Leipzig
  • References: <7juc3u$>
  • Sender: owner-wri-mathgroup at


a) Mathematica saves all computed values like N[Pi]. The first time
   Timing[N[Pi,300]] gives the result to calculate Pi the second
   uses only the already calculated value. Thats why it is faster.
b) How can you avoid Pi ? There is no serious mathematical relation
   with out Pi


Blimbaum Jerry DLPC wrote:
>         I was trying to understand the use of the command TracePrint, so I
> tried the following:
>         f[x_]: = x;
>         f[1]//TracePrint                and got an output with about 4 steps
> involved, but then I tried
>         f[Pi/2]//TracePrint           which came out with about 17 steps
> involved!!
>         This made me wonder since I see Pi used so many times for
> calculating tables or as limits when plotting functions,  so
>         I tried the following timing comparison.
>          <<...>>
>         and got Time outputs of   3.19 and 0.77 seconds respectively!!!   a
> factor of greater then 4 between them.
>         Should I conclude that I need to avoid using Pi in expressions, etc.
> if I want to reduce processing time?
>         Thanks.   Jerry Blimbaum   NSWC  Panama City, Fl

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