Re: Re: Plot in Background of Manipulate

*To*: mathgroup at smc.vnet.net*Subject*: [mg95247] Re: Re: Plot in Background of Manipulate*From*: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>*Date*: Mon, 12 Jan 2009 06:25:03 -0500 (EST)

Hi, Mike, to add a bit to what David Park has written, I often use a simple approach like that you are looking for. But I do this not in order to fit experiment, but to fit a theoretical result which admits only numeric calculation, but which I need to use later in further analytical transformations. Find the example below. It is straightforward to apply the same approach to fit your experimental data, if you have an idea, of what the fitting function should look like. (* This is the data to be fitted and its plot *) dataToBeFitted = Table[{z, NIntegrate[x^z*Exp[-z*x^2], {x, 0, 2}]}, {z, 0, 2, 0.1}]; plotOfDataToBeFitted = ListPlot[expdata, PlotStyle -> {Red, PointSize[0.015]}]; (* This is a necessary plot of the fitting function manipulated by 3 parameters *) (* a, b and c with the data to be fitted on the background. Try this *) Manipulate[ Show[{plotOfDataToBeFitted, Plot[(a + b*Exp[-x^c]), {x, 0, 2}]}], {{a, -1.8}, -3, 3}, {{b, 6.3}, 0, 10}, {{c, 0.3}, 0.1, 3}] (* End of the example *) Like this I find sometimes pretty good analytic approximations to functions obtainable only in a numeric form. Good luck, :-) , Alexei The following is a solution using the Presentations package. I hardly ever use Manipulate to make dynamic displays. It is too baroque and it is much easier to format and construct a presentation directly. You did not give actual information about his data and model so here I have used a rather simple example of matching a variable Sin curve to one that is randomly generated. Needs["Presentations`Master`"] Module[ {amplitude = 1, phase = 0, ampexp = RandomReal[{-5, 5}], phaseexp = RandomReal[{0, 2 \[Pi]}]}, panelpage[ pagelet[ phrase["Amplitude: ", Slider[Dynamic[amplitude], {0, 4}], Spacer[10], InputField[Dynamic[amplitude], FieldSize -> {5, 1}]], phrase["Phase: ", Slider[Dynamic[phase], {0, 2 \[Pi]}], Spacer[10], InputField[Dynamic[phase], FieldSize -> {5, 1}]], Draw2D[ {(* Experimental curve *) Gray, Draw[ampexp Sin[t + phaseexp], {t, 0, 2 \[Pi]}], (* Adjustable theoretical curve *) Black, Dynamic@Draw[amplitude Sin[t + phase], {t, 0, 2 \[Pi]}]}, AspectRatio -> 1, PlotRange -> {{-.1, 2 \[Pi] + .1}, {-6.1, 6.1}}, Frame -> True, ImageSize -> 400] ](* pagelet *), Style["Dynamic Matching of Experimental Curve", 16] ](* panelpage *) ] The gray curve is the hypothetical experimental curve, generated randomly each time the input is evaluated. The sliders can be used to adjust the black theoretical curve to the experimental curve. Peter Lindsay at the Mathematical Institute in the University of St Andrews [ www.mcs.st-and.ac.uk ] has kindly undertaken to maintain an archive that provides downloadable notebooks and PDF files for various Presentations solutions that have appeared on MathGroup. http://blackbook.mcs.st-and.ac.uk/~Peter/djmpark/html/ <http://blackbook.mcs.st-and.ac.uk/%7EPeter/djmpark/html/> David Park djmpark at comcast.net http://home.comcast.net/~djmpark/ <http://home.comcast.net/%7Edjmpark/> From: makn87 at yahoo.com [mailto:makn87 at yahoo.com] If someone could please help with the following, I would really appreciate. I am plotting of some logarithmic scattering curves based on theoretical modes and am using manipulate to change a few paramaters. In the same notebook, I have plotted experimental results using ListLogLogPlot (on the exact same scale as I have using the manipulate command). I would like to have my experimental plots, plotted in the background of the manipulate window, so that I can adjust the parameters in manipulate to the point that my theoretical curve matches my experimental curve. So far I have only been able to plot the experimental plots side by side with the manipulate generated plots by simply making each plot an elements of a list. How do I combine them? Thanks, Mike -- Alexei Boulbitch, Dr., Habil. Senior Scientist IEE S.A. ZAE Weiergewan 11, rue Edmond Reuter L-5326 Contern Luxembourg Phone: +352 2454 2566 Fax: +352 2454 3566 Website: www.iee.lu This e-mail may contain trade secrets or privileged, undisclosed or otherwise confidential information. If you are not the intended recipient and have received this e-mail in error, you are hereby notified that any review, copying or distribution of it is strictly prohibited. Please inform us immediately and destroy the original transmittal from your system. Thank you for your co-operation.

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