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Re: Is it possible to plot a point a time on the same graph in Mathematica?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg25863] Re: Is it possible to plot a point a time on the same graph in Mathematica?
  • From: "A. E. Siegman" <siegman at stanford.edu>
  • Date: Wed, 1 Nov 2000 01:25:46 -0500 (EST)
  • Organization: Stanford University
  • References: <ctQI5.767$qE1.38868@ralph.vnet.net> <8t65c7$eif@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

In article <8t65c7$eif at smc.vnet.net>, H Shou <H.Shou at cs.cf.ac.uk> 
wrote:

> Dear Sir:
> 
> I have a lot of points endlessly generated by the
> Mathematica 4.0 which needed to be ploted.
> 
> At first I send the points to an List, then use ListPlot to
> plot them.
> 
> But I found it need too much time to get the result picture.
> 
> Is it possible to plot a point a time on the same graph in
> Mathematica so that I can watch the progress instead of
> keeping on waiting.
> 
> Henry Shaw

I will be *very* interested to see what answers you get on this, because 
I think the answer is essentially NO -- and this is perhaps *THE* single 
most serious weakness of Mathematica as a teaching and display tool.

That is, you can't "write to the screen" to put a new plot into an 
existing on-screen plot in Mathematica because Mathematica graphics are 
fundamentally built around PostScript, and PostScript involves fully 
creating a plot, and only then displaying it.

There is probably a way to do something like what you want by opening a 
new window to hold your plot, and after every N plots, erase the old 
plot in that window and write a new one that is N points larger, i.e. 
replots the same list with N new points added.  You of course pick N 
somewhere between 1 (which may slow the progress of your computation 
greatly) and some value determined by your level of impatience in 
watching the calculation progress.


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