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Re: Ploting a changing constant
*To*: mathgroup at smc.vnet.net
*Subject*: [mg64796] Re: Ploting a changing constant
*From*: Bill Rowe <readnewsciv at earthlink.net>
*Date*: Thu, 2 Mar 2006 21:46:51 -0500 (EST)
*Sender*: owner-wri-mathgroup at wolfram.com
On 3/2/06 at 6:47 AM, Mary.Mulcahy at colorado.edu (Mary Beth Mulcahy)
wrote:
>OK, so this has to be an easy one. I am trying to plot a function
>several times for a variety of values of a constant. For example:
>y[x_, a_]:=a*x
>I want to plot a=10, a=20 overlaying one another. Currently I
>simply rewrite the equation however many times I need to change the
>variable. For example:
>DisplayTogether[Plot[y[x, 10], {x, 0, 33}],Plot[y[x,20], {x, 0,
>33}],Plot[y[x,30], {x, 0, 33}],Plot[y[x,40], {x, 0,
>33}],Plot[y[50], {x, 0, 33}]]
>I'm plotting this equation 15 times with a increasing in steps of
>ten. Seems to me there should be a single command to do this
>rather than cut and paste 10 times (and then go back in to change
>the variable by hand). Something like in Sum[] where you can state
>the beginingvalue, end value and step size.
The following will do what you want
Show[
Block[{$DisplayFunction=Identity},
Plot[y[y[x, #], {x, 0, 33}]&/@Range[10, 150, 15]]]
and using MapThread you could say color each of the plots differently using
Show[
Block[{$DisplayFunction=Identity},
MapThread[
Plot[y[y[x,#1], {x, 0, 33}, PlotStyle->#2]&,
{Range[10, 40, 15], {Red,Blue,Black}]]]
Using this second scheme you can add individual labels for each of the plots and so on
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