Re: Labelling a plot with maximum

*To*: mathgroup at smc.vnet.net*Subject*: [mg105175] Re: [mg105146] Labelling a plot with maximum*From*: Alexei Boulbitch <Alexei.Boulbitch at iee.lu>*Date*: Mon, 23 Nov 2009 06:52:59 -0500 (EST)

Hi, Shalin, try this. Alexei jinc[x_] := BesselJ[1, 2 \[Pi] x]/(2 \[Pi] x); f[x_, \[CapitalDelta]_] := 4 Abs[jinc[x + \[CapitalDelta]] - jinc[x - \[CapitalDelta]]]^2; Manipulate[DynamicModule[{nmx}, nmx = Dynamic[NMaximize[f[x, \[CapitalDelta]], x][[2, 1, 2]]]; Column[{Row[{Style[ "\!\(\*SubscriptBox[\"x\", \"max\"]\)=\[PlusMinus]", Red, Bold, 18], Style[nmx, Red, Bold, 18]}], Plot[f[x, \[CapitalDelta]], {x, -1.22, 1.22}, PlotRange -> {{-0.5, 0.5}, {0, 1.5}}]}]], {\[CapitalDelta], 0.125, 0.5}] Hi everyone, I am very new to Mathematica. I wish to prepare a figure and a movie where the maximum of the plot is labelled on the figure. I am using Manipulate to animate a function as shown below: jinc[x_] := BesselJ[1, 2 \[Pi] x]/(2 \[Pi] x); f[x_, \[CapitalDelta]_] := 4 Abs[jinc[x + \[CapitalDelta]] - jinc[x - \[CapitalDelta]]]^2; Manipulate[ Plot[f[x, \[CapitalDelta]], {x, -1.22, 1.22}, PlotRange -> {{-0.5, 0.5}, {0, 1.5}}], {\[CapitalDelta], 0.125, 0.5}] I find the maximum for different values of Delta using: Manipulate[ NMaximize[f[x, \[CapitalDelta]], x], {\[CapitalDelta], 0.125, 0.5}] Can someone please help with a code that can print the result returned by NMaximize on (say) top-left of the Plot generated by the first Manipulate above? The plot will look neat if I can place a marker at the X-position of maximum. Also, I wish to have a Motion-JPEG compressed quicktime mov file exported from this manipulate. How can that be achieved? thanks in advance for any help. Shalin -- 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.