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Home/ Questions/Q 8441925
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Editorial Team
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Editorial Team
Asked: June 10, 20262026-06-10T08:42:13+00:00 2026-06-10T08:42:13+00:00

I am reading a file with Get[] that contains a semi-colon separated sequence of

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I am reading a file with Get[] that contains a semi-colon separated sequence of sub-scripted definitions like this:

data[1] = {stuff};
data[5] = {otherStuff};
data[99] = {yetMoreStuff};

What is the cleanest way to programatically decide for what values of i is data[i] defined? A list of the indices would be nice, e.g. {1, 5, 99}.

A hacky way would be to loop through the range of possible values to see which ones don’t have head “data” (e.g. Select[data/@Range[1,1000],(Not[MatchQ[#,_data]])?]), but this is unattractive since it isn’t general (e.g. it won’t find data[dog] = "Max"; if we remove the integer subscript requirement) and assumes that one can choose an upper bound. It would also be slow and waste memory.

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  1. Editorial Team
    Editorial Team
    2026-06-10T08:42:14+00:00Added an answer on June 10, 2026 at 8:42 am

    I’m still not at my Mathematica machine but it occurs to me that DownValues[data] will probably return a list of rules that you might be happy to manipulate to get out the is. Perhaps something like this;

    Cases[DownValues[data],RuleDelayed[HoldPattern[data[i_Integer]],rhs_]:>i]
    
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