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Increased Precision in Plot?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg34684] Increased Precision in Plot?
  • From: shollis at armstrong.edu (Selwyn Hollis)
  • Date: Fri, 31 May 2002 04:30:16 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

The command

f[t_]=Nest[1 - Integrate[2s(#/.t->s),{s, 0, t}]&, Cos[t],
12]//Simplify

returns a fairly innocent-looking result. However, evaluation (or
plotting) of the result with default precision produces garbage; for
example:

In[1]:= f[.5]
Out[1]:= 0.875

In[2]:= N[f[1/2]]
Out[2]:= 0.625

In[3]:= N[f[1/2],17]
Out[3]:= 0.77880078307140487

My question is this: How can I get Plot to graph such a function with
increased precision, so that the graph isn't overwhelmed by noise?

Thanks in advance,

Selwyn Hollis


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