
Re: Manipulate[Plot[Evaluate[expr]]]
Posted:
Mar 29, 2012 5:10 AM


Thank you David and to all responders for both solving my syntax problem and for very helpful suggestions about presentation in general.
LP
Le 28/03/2012 15:17, djmpark a =E9crit : > Other than the extra brackets, there are several other problems with this > presentation. One is that the starting values of the sliders should be > specified separately from the parameter domains to obtain a smooth action of > the sliders. > > The second problem is that there is, or should be, a maxim: A dynamic > presentation always requires a fixed background. This is often violated by > allowing Mathematica to automatically adjust the PlotRange. Then one has a > varying curve against a varying scale and it is not as easy to see how the > parameter affects the shape of the curve. Specifying a fixed PlotRange is > one solution to this problem. > > However, in this case there is a rather large overall vertical range for the > function as the parameters are changed. One way to handle this is to provide > an additional slider to independently adjust the vertical PlotRange. So > then, at least, the background is stable while any of the function > parameters are being changed. > > Manipulate[ > Plot[M/\[Tau] \[Phi]^ > M E^((x/\[Tau])) (1  E^((x/\[Tau])))^(M  1), {x, 0, 50}, > AspectRatio > 1/2, > Frame > False, > PlotRange > {{0, 50}, {0, 10^ymax}}, > PlotRangePadding > {0.2, 10^ymax/10}, > ImagePadding > {{25, 5}, {15, 5}}, > ImageSize > {430, 220}], > {{M, 5.5}, 1, 12, Appearance > "Labeled"}, > {{\[Tau], 9}, 3, 15, Appearance > "Labeled"}, > {{\[Phi], .65}, .5, .8, Appearance > "Labeled"}, > {{ymax, 2.3}, 5, 1}] > > There are other possibilities. One would be to have a button that finds the > maximum value for the function and then snaps the PlotRange to accommod ate. > Another solution would be to have two curves and a left and right scale with > one always showing the full y range and the other showing the adjusted > range. Then we would obtain an absolute picture of the function behavior > along with an adjustable magnified version. But these get more into custom > dynamic presentations. > > > David Park > djmpark@comcast.net > http://home.comcast.net/~djmpark/index.html > > > > > From: leigh pascoe [mailto:leigh@evry.inserm.fr] > > > Could someone please help me with the syntax of a dynamic plot? > > I would like to plot a function with 3 constants, for various values of the > constants (M, t and f say) and for the variable x going from zero to 50. I > have been unable to find the correct syntax for the Manipulate/Plot command. > Here is one attempt that shows the function to be evaluated and the 3 > constants > > Manipulate[ > Plot[M/\[Tau] \[Phi]^M E^((x/\[Tau])) (1  E^((x/\[Tau])))^( > M  1), {x, 0, 50}], {{M, 1, 12, 1}, {\[Tau], 3, 15, > 1}, {\[Phi], .5, .8, .1}}] > > Any suggestions would be appreciated. > > LP > >

