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MathGroup Archive 2007

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Re: Dynamically changing 2 interdependent variables.

  • To: mathgroup at smc.vnet.net
  • Subject: [mg81489] Re: Dynamically changing 2 interdependent variables.
  • From: m.r at inbox.ru
  • Date: Wed, 26 Sep 2007 06:31:32 -0400 (EDT)
  • References: <fd57vj$25b$1@smc.vnet.net>

On Sep 23, 3:26 am, Michael Knap <michael.j.k... at comcast.net> wrote:
> Ok, I have looked over the Documentation, but I still haven't quite
> figured out how to do exactly what I want to do.
>
> I am working on a Physics app dealing with waves, so I want to be able
> to input a wave number either expressly, as k, or in terms of lambda.
>
> This is the relationship:  k = (2 Pi) / lambda .
>
> I want to be able to change either variable in a Manipulate[] function,
> and have the other update appropriately.
>
> This is what I have started with:
>
> Manipulate[
>   Dynamic[
>    Row[{
>      TraditionalForm[k = (2 Pi)/lam],
>      " = ",
>      TraditionalForm[2 Pi]/TraditionalForm[lam = (2 Pi)/k]
>      }]
>    ],
>   {{k, 1}, .00001, 1},
>   {{lam, 2 Pi}, 2 Pi, 100}
>   ]
>
> Notice how changing the lam slider works as expected. Changing the k
> slider does not.
>
> Any help is appreciated.

Use custom control functions:

Manipulate[
 TraditionalForm[HoldForm[# == 2 Pi/#2]]&[k, lam],
 {{k, 1.}, 2 Pi/100, 1,
   Slider[Dynamic[k, (lam = 2 Pi/(k = #))&], #2]&},
 {{lam, 2. Pi}, 2 Pi, 100,
   Slider[Dynamic[lam, (k = 2 Pi/(lam = #))&], #2]&}]

Maxim Rytin
m.r at inbox.ru



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