Re: same plot for continous and discrete function

• To: mathgroup at smc.vnet.net
• Subject: [mg29627] Re: same plot for continous and discrete function
• From: "Allan Hayes" <hay at haystack.demon.co.uk>
• Date: Fri, 29 Jun 2001 01:36:00 -0400 (EDT)
• References: <9hetgb\$6jr\$1@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Yackov,
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]},
DisplayFunction\[Rule]Identity]

gr2nd = ListPlot[lst, PlotJoined\[Rule]True,
PlotStyle\[Rule] {Thickness[.02],
Hue[0]},DisplayFunction\[Rule]Identity]

Then show them together with the display turned back on:

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

--
Allan
---------------------
Allan Hayes
Mathematica Training and Consulting
Leicester UK
www.haystack.demon.co.uk
hay at haystack.demon.co.uk
Voice: +44 (0)116 271 4198
Fax: +44 (0)870 164 0565

"Martin Harborth" <martin.harborth at ts.siemens.de> wrote in message
news:9hetgb\$6jr\$1 at smc.vnet.net...
> -----Ursprüngliche Nachricht-----
> Von: Yackov_Shermann [SMTP:yackov at mangocrafts.com]
> 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
>
>
>   ------------------------------
>   http://MangoCrafts.com
>   ------------------------------
>   Experience... Everything!!
>
>
>
>
>

```

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