Re: Pi vs. 3.141592654
- To: mathgroup at smc.vnet.net
- Subject: [mg18102] Re: Pi vs. 3.141592654
- From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
- Date: Thu, 17 Jun 1999 12:26:39 -0400
- Organization: Universitaet Leipzig
- References: <email@example.com>
- Sender: owner-wri-mathgroup at wolfram.com
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//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
> 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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