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Suppose I need to create sliders associated with variables from a given list:

ClearAll[a, b, c, d];
vars = {a, b, c, d};
Slider[Dynamic@#, {0, 1}] & /@ vars

Unfortunately it works only for variables which don't have values:

ClearAll[a, b, c, d];
vars = {a, b, c, d};
a = 1;
Slider[Dynamic@#, {0, 1}] & /@ vars

As you can see now the first slider is not working because Mma attempts to assign values to raw object 1 instead of a. Nevertheless simple

Slider[Dynamic@a, {0, 1}]

produces the desired result.

So, what is the right way to do such things?

share|improve this question
up vote 8 down vote accepted

The best way may be to avoid such constructs, but, if you insist on using a list of variables like that, here is one way:

Thread[Hold[vars] /. OwnValues[vars]] /. Hold[v_] :> Slider[Dynamic[v], {0, 1}]

You can store variables wrapped in Hold rather than List, in which case the first step (involving OwnValues) can be skipped.

share|improve this answer
@Leonid, thank you. Could you explain what's wrong with this construct? – faleichik Apr 23 '12 at 18:59
@Rojo I actually think that one just should find other ways to achieve the desired result (avoid solving this problem altogether). Storing variables in a list and then looking for ways to avoid evaluation seems like an unnecessary extra work to me. – Leonid Shifrin Apr 23 '12 at 18:59
@faleichik Well, see my comment above. If you have several (many) variables, perhaps it is better to define a list (array) and index it to access individual variables, or use indexed variables. Having a separate variable to store a list of named variables which can evaluate, seems more complex and error-prone to me. – Leonid Shifrin Apr 23 '12 at 19:01
Ok, I have to agree with you. Anyway using variable names instead of indices is sometimes more convenient for quick sketches. As you've said, using Hold instead of List is a good alternative. – faleichik Apr 23 '12 at 19:16

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