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Assigning part of indexed object


How do you set the part of an indexed object, say:

m[1] = Range[5];

is my indexed object (I could have m[2], etc.). Now I 
want to do something like:

m[1][[1]] = 10;

with effect of having m[1] read:

{10, 2, 3, 4, 5}

but of course the line above evaluates to 1 = 10.

This could be achieved by having a non-indexed object get 
in the way, e.g., m1=m[1], assign m1 and then return to 
m[1]=m1, but I believe there should a more elegant way.


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