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Re: How to draw a discontinuous function (set of points)

  • To: mathgroup at smc.vnet.net
  • Subject: [mg79326] Re: How to draw a discontinuous function (set of points)
  • From: Peter Pein <petsie at dordos.net>
  • Date: Wed, 25 Jul 2007 01:57:27 -0400 (EDT)
  • References: <f84j0d$ova$1@smc.vnet.net>

Domnul Mihnea schrieb:
> Hello!
> 
> I would like to draw the graph of the following function in Mathematica 6, f : Zn -> Zn, f(x) = x^2 (mod n), n given. I wanted to use the plot function (n being 1000) as in:
> 
> Plot[Mod[x^2,1000], {x, 0, 999}, PlotStyle -> {Hue[.6], PointSize[0.01]}, AxesLabel -> {n, Mod[x^2,1000]}, TextStyle -> {FontFamily -> "Times", FontSize -> 14}]
> 
> The problem is that Plot draws the graph for ALL the real points x between 0 and 999 (the interval [0,999]), when I would require the function to be applied just to the set natural numbers from 0 to 999 (the graph should be just a set of points).
> 
> Thanks for reading my post! Any help would be more than welcome!
> 

Hi,

ListPlot[Mod[Range[0, 999]^2, 1000]] does not work?

In Version 5.2 this gives the desired plot. (Mod and Power have the
attribute Listable set)

Peter


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