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I'm trying to do the following:

I have a table:

w = Table[ToExpression[ToString[h] <> ToString[i]], {i, 1, Length[c]}]

This table is suposed to generate variables, like the following list:

{h1, h2, h3, h4, h5, h6, h7, h8, h9, h10, h11}

I'm trying to create a table of vertical sliders with this by adding this to the code:

w = Table[VerticalSlider[Dynamic[ToExpression[ToString[h] <> ToString[i]]]], {i, 1, Length[c]}]

It create a it gives me an error:

Set::write: "Tag ToExpression in \!\(ToExpression[\"hi\"]\) is Protected.

I'm aware that this may not be the best way todo this but it's all I can imagine, I guess the other feasible way would be with loops, I don't know. Can you help me?

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Your code doesn't work as it is because c is not defined anywhere. –  gpap Mar 7 '13 at 15:59
Related: mathematica.stackexchange.com/q/16893/5 –  The Toad Mar 7 '13 at 18:25
@gpap It is defined in the code, but I copied only what is relevant to the question. –  Jesus Christ Mar 7 '13 at 19:39
I'm sure @gpap knew that. He was probably just pointing out that you posted a non working snippet. Which is easily fixed, but you might have taken the time to do that your self. –  Ajasja Mar 7 '13 at 19:51
Yes, @ajasja is right: I just thought that it's better to have working code for people to copy-paste and experiment with. I think you should edit it appropriately either replacing Length[c] with whatever length c has in your original code or give c (not the case here, but it could have been that c was too long and that caused your problem - a working snippet would help exclude such cases). –  gpap Mar 7 '13 at 21:19

2 Answers 2

The problem is that Dynamic is preventing ToExpression from evaluating to a symbol. When you drag the slider it's trying to evaluate:

ToExpression[ToString[h] <> ToString[1] = 0.1

and you get a message about not being able to set the value of ToExpression.

I would use With to create the symbols and insert them into the Dynamic:

w = Table[With[{var = ToExpression[ToString[h] <> ToString[i]]}, 
       VerticalSlider[Dynamic[var]]], {i, 1, Length[c]}]
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Depending on what you're going to do next, this might be useful:

 x = {.1, .2, .3, .4, .5};
 Outer[Slider[Dynamic[x[[#1]]], {0, 1}] &, Range[Length[x]]]

This creates a collection of sliders, one for each element of x. The values of x provide the initialization, and when you move a slider, the corresponding element of x changes. You can see this happening in real time using

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+1 Btw Slider[Dynamic[x[[#1]]], {0, 1}] & /@ Range@Length@x is another option (I'm just not used to seeing Outer instead of Map ;) –  Ajasja Mar 7 '13 at 18:59
You're right... I might have written it in functional form Map[Slider[Dynamic[x[[#1]]], {0, 1}] &, Range[Length[x]]] rather than postfix form, but Map[ ] is probably clearer than Outer[ ]. –  bill s Mar 7 '13 at 19:30

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