I am interested in "automating" the following notebook file so that I can execute it many times to generate many plots.

roots = x /. NSolve[Sum[RandomVariate[NormalDistribution[]]*x^k, {k, 0, 1000}] ==
 0, x, Reals]
difs = Differences[roots]
a = Tally[difs]
ListPlot[a, AxesLabel -> {diffs, occurences}, PlotLabel -> "A Degree 1000" , PlotRange -> Full]
Export["plot.pdf", %]

Each time the code is evaluated, I of course obtain a different plot. I would like to have maybe 100 of the plots but this would be rather tedious as I have to save the plot output as a PDF individually and run the whole notebook each time. I also want to do other degrees than 1000 so I will definitely need to automate this process. I have looked into the Wolfram Script stuff, but am a bit lost/ not sure what to do. Is it possible to turn this notebook file (with 4 cells of evaluation) into a script such that I can just run it over and over with one easy command in a command line to generate multiple plots?

Any help with this issue is immensely appreciated! Thank you!

  • $\begingroup$ Add another line to export plot as PDF and wrap the whole process in a Do loop? $\endgroup$
    – Pinti
    Jun 26, 2017 at 18:44
  • $\begingroup$ @Pinti this just results in tons of errors though $\endgroup$ Jun 26, 2017 at 18:57
  • $\begingroup$ I do not think you need to use Wolfram Script. You can just use Table to Map. Also, please post code, not images with code. $\endgroup$ Jun 26, 2017 at 19:19
  • $\begingroup$ @AntonAntonov Sorry about that , I put the code now. What do you mean by use Table to Map? Thank you for your comment! $\endgroup$ Jun 26, 2017 at 19:30

1 Answer 1


This generates and exports 10 images with your code:

 roots = 
  x /. NSolve[
    Sum[RandomVariate[NormalDistribution[]]*x^k, {k, 0, 1000}] == 0, 
    x, Reals];
 difs = Differences[roots];
 a = Tally[difs]; 
 Export["/some/path/plot" <> ToString[i] <> ".pdf", 
  ListPlot[a, AxesLabel -> {diffs, occurences}, 
   PlotLabel -> "A Degree 1000", PlotRange -> Full]]
 , {i, 10}]

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