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How to draw a discontinuous function (set of points)

• To: mathgroup at smc.vnet.net
• Subject: [mg79302] How to draw a discontinuous function (set of points)
• From: Domnul Mihnea <domnul_mihnea at yahoo.com>
• Date: Tue, 24 Jul 2007 06:01:31 -0400 (EDT)

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!

• Follow-Ups:
  • Re: How to draw a discontinuous function (set of points)
    • From: Murray Eisenberg <murray@math.umass.edu>