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Enumerate elements of a set built using properties

asked 2011-10-18 10:54:26 -0500

oscarvarto gravatar image

updated 2011-10-18 13:09:37 -0500

Mike Hansen gravatar image

How can I enumerate all the elements of a set?

For example (I'll use latex to describe the desired set) if the set is:

$$ W = { u_{i}[j], \overline{u}_{i}[j]: 1 \leq i \leq n, 1 \leq j \leq m } $$

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Explain what u_i[j] and \bar{u}_i[j] mean.

benjaminfjones ( 2011-10-18 19:18:07 -0500 )edit

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answered 2011-10-18 20:55:48 -0500

Mike Hansen gravatar image

I don't know what your u_i[j]'s are, but you can do things like the following

sage: m = 2; n  = 3
sage: [ (i,j) for i in range(m) for j in range(n)]
[(0, 0), (0, 1), (0, 2), (1, 0), (1, 1), (1, 2)]

where you would replace (i,j) with the Python/Sage version of your u_i[j]'s.

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Asked: 2011-10-18 10:54:26 -0500

Seen: 84 times

Last updated: Oct 18 '11