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MathGroup Archive 2006

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multiple plots from a list of parameters?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg64480] multiple plots from a list of parameters?
  • From: "1.156" <rob at piovere.com>
  • Date: Sat, 18 Feb 2006 02:50:22 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

Apparently I finally stumbled into a way to invert a function p[f,L] on 
which I recently posted. But after a lot of trying I can't seem to 
stumble my way into the next step. The code below works:

p[f_,L_] =: (defined)

result16 := FindRoot[p[f, L] == 1600, {f, 0.5}];
result12 := FindRoot[p[f, L] == 1200, {f, 0.5}];
result08 := FindRoot[p[f, L] == 800, {f, 0.5}];
result04 := FindRoot[p[f, L] == 400, {f, 0.5}];

pL16 = Plot[f /. result16 // Evaluate, {L, 0.2, 10}]
pL12 = Plot[f /. result12 // Evaluate, {L, 0.2, 10}]
pL08 = Plot[f /. result08 // Evaluate, {L, 0.2, 10}]
pL04 = Plot[f /. result04 // Evaluate, {L, 0.2, 10}]

Show[pL16,pL12,pL08,pL04]

I end up with 4 plots. Even I can tell this is crude and no way to do 
business.  I need to be able to use a list={1600,1200,800,400} and get 
these 4 (or n plots) plots done in less than n sets of statements. All 
my attempts to use the list fail. Can someone give me some syntax that 
will do this?  Many thanks, Rob


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