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MathGroup Archive 2007

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Re: Option for continuous plot

  • To: mathgroup at smc.vnet.net
  • Subject: [mg72921] Re: Option for continuous plot
  • From: Peter Pein <petsie at dordos.net>
  • Date: Thu, 25 Jan 2007 06:59:28 -0500 (EST)
  • References: <ep7ca5$bbd$1@smc.vnet.net>

Virgil Stokes schrieb:
> I have defined the following two functions:
> 
> poissonProcess[λ_,n_] := FoldList[Plus,0,Table[-1/λ Log[1-Random[]],{n}]]
> 
> showPoissonProcess[λ_,n_,opts___] := With[{pp = poissonProcess[λ,n]},
> Show[Graphics[{AbsoluteThickness[1.5],Table[Line[{{pp[[i]],i-1},{pp[[i+1]],i-1}}],{i,1,n}]}],
> Axes\[Rule]True,opts]];
> 
> for plotting a Poisson process; i.e.,
> 
> SeedRandom[1];
> showPoissonProcess[4, 20, AspectRatio -> 0.3];
> 
> does indeed plot this process. However, I would like to have an option 
> that would allow for these horizontal lines to be connected; i.e., 
> produce a continuous curve.
> 
> Is there a easy way to do this?
> 
> Thanks,
> V. Stokes
> 

Hi Virgil,

you need only a minor change of your code:

change Table[Line[...],..]  to
Line[Flatten[Table[{{pp[[i]],i-1},{pp[[i+1]],i-1}}],{i,1,n}],1]

Peter


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