# Plotting graphs with manipulate: empty plots

Posted 4 months ago
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 Hello Together,I am currently working on visualizing my results with the help of Mathematica. There is mainly one Problem (I think) and that has to do with the manipulate order.1.) What do I have to calculate? Physics apart the formulas I have to calculate look like thisNow I know that the last 3 Integrals can not be calculated by the System because they have unspecified parameters. So I calculated it one time for g=w=1 and d=0.5. I just defined the Functions: l[x_]=ArcCos[0.9841229182759271+0.0158770817240729*Cos[x]] (wich is o for the parameters above) g[t_]=Sqrt[-1/8 (-1+Sqrt[1-0.5^2])(3-Cos[2 *t])] (which is Sqrt[k] for the parameters above)and evaluated the Integral of g with fThen I plotted my wanted functionPlot[x*l[x]/f[x],{x,0,10}] Now the stuff I need help with:The thing is that I would like a shortcut to the plot and the option to manipulate the parameters g, w and d afterwards. I tried the following:But I don't get any results. I think the parameters are the problem so the system cannot solve the numerical Integral for n. I am grateful for any help.Regards,Henrie Answer
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Posted 4 months ago
 Not clear what you are trying to accomplish. A Manipulate is being passed to Plot. k[y_] := Manipulate[NIntegrate[... Manipulate[Plot[k[x]... Answer
Posted 4 months ago
 Thank you for your answer.I think the problem that I have lies within the computation of the Integral of n[x]:k[x]. I need k[x] to plot the Graph but there are some parameters in k[x] (g and w) that I would like to be able to manipulate because I want to look at this time evolution for as many different parameter sets as possible. But I cannot compute the general Integral k[x] without specifying g and w in advance because the NIntegrate option gives me errors for the unspecified parameters. I plotted the whole thing for the parameters {g,w,d}={1,1,1/2}) but I don't want to manually change all the parameters in all the calculations every time.I need to plot this situation for many different Parameter sets of g,w and d so I thought about using a program where I only need to specify my 3 parameters in advance and all the steps necessary to get to the plot were taken without me having to manually change the parameters all the time. Am I right in the assumption that the Manipulate option can do this?It does not necessarily have to be Manipulate, if there is an Option like specifying a table of sets of parameters and the plot is then made for all of them I would be happy too. Answer
Posted 4 months ago
 The controls in a Manipulate are localized. Changing the value of the controls for g, w or d updates only the references to g, w or d that explicitly appears in the first argument to Manipulate. No other updates are done.An example that works, a Manipulate plotting your function n: n[x_, g_, w_, d_] := Sqrt[-1/8 (-1 + Sqrt[1 - d^2]) (2 g^2 + w^2 - w^2 Cos[2 g * x])] Manipulate[ Plot[n[t, g, w, d], {t, 0, 10}], {{g, 1}, 0, 20, Appearance -> "Labeled"}, {{w, 1}, 0, 2 Pi, Appearance -> "Labeled"}, {{d, 0.5}, 0, 1, Appearance -> "Labeled"} ] Answer
Posted 4 months ago
 I somehow got it to work. I send you my code so If anyone is interested you can just look at what I did. Answer