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Re: same plot for continous and discrete function

  • To: mathgroup at
  • Subject: [mg29627] Re: same plot for continous and discrete function
  • From: "Allan Hayes" <hay at>
  • Date: Fri, 29 Jun 2001 01:36:00 -0400 (EDT)
  • References: <9hetgb$6jr$>
  • Sender: owner-wri-mathgroup at

There is no single built-in function to do what you want.
I hope that you will find the following useful.
Please look up terms used in the Help Browser (select the word and use menu
>Help> Find selected function ( or press F1 in Windows).

Allan Hayes

Here is a plot of a continuous function - note the use of  options to style
the plot.

gr1= Plot[Sin[x],{x,0, 2Pi},PlotStyle\[Rule] {Thickness[.04], Hue[.7]}]

The symbol gr1 is assigned the graphics object Out[8] (not the display) as
its value.

Here is a list of coordinates.

lst= Table[{x, Cos[x]},{x,0,2Pi, Pi/5.0}]

Here is a plot derived from the list:

gr2 = ListPlot[lst, PlotJoined\[Rule]True,
    PlotStyle\[Rule] {Thickness[.02], Hue[0]}]

Show is used to show graphics objects together:

gr3=Show[gr1,gr2, Frame\[Rule]True, Axes\[Rule]False]

We can make out own graphics objects and add them in

Show[gr3, Graphics[{Hue[.3],PointSize[.05],Point/@lst}]

Sometimes we may want to construct parts without showing them

gr1nd= Plot[Sin[x],{x,0, 2Pi},PlotStyle\[Rule] {Thickness[.04], Hue[.7]},

gr2nd = ListPlot[lst, PlotJoined\[Rule]True,
    PlotStyle\[Rule] {Thickness[.02],

Then show them together with the display turned back on:

Show[gr1nd,gr2nd, Frame\[Rule]True, Axes\[Rule]False,

Allan Hayes
Mathematica Training and Consulting
Leicester UK
hay at
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565

"Martin Harborth" <martin.harborth at> wrote in message
news:9hetgb$6jr$1 at
> -----Ursprüngliche Nachricht-----
> Von: Yackov_Shermann [SMTP:yackov at]
> Gesendet am: Donnerstag, 21. Juni 2001 22:02
> An: Harborth Martin
> Betreff: Multiple Plots
> Hello.
> This is my very first exposure to Mathematica and I can't quite figure out
> how to get on the same plot, both a continuous function y=F(x) and a
> discrete one yi=G(xi) (actually, a list of {xi, yi}), provided both share
> the same definition domain.
> Is there a built-in primitive for a such task?
> Yackov
>   ------------------------------
>   ------------------------------
>   Experience... Everything!!

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