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collection of sets

asked 2010-09-17 01:38:04 -0600

sriram gravatar image

updated 2015-01-14 05:06:29 -0600

FrédéricC gravatar image

How to create a collection of sets and how find its subcollections of specified size

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answered 2010-09-18 06:56:39 -0600

Using Sage code:

sage: X = Set([1, 3, "two"])  # note capital S
sage: X.subsets()
Subsets of {1, 3, 'two'}
sage: X.subsets(size=2)
Subsets of {1, 3, 'two'} of size 2
sage: X.subsets(size=2).list()
[{1, 3}, {1, 'two'}, {3, 'two'}]
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answered 2010-09-17 01:49:20 -0600

niles gravatar image

Does something like this do what you're looking for?

sage: s = set([1,3,"two"]) # make a set from a list of items
sage: t = list(subsets(s)); t  # this is the list of all subsets of s
[[], [1], [3], [1, 3], ['two'], [1, 'two'], [3, 'two'], [1, 3, 'two']]
sage: for x in subsets(s):  # subsets(s) is an iterator, so you can loop through it
....:     if len(x) == 2:   # and extract items of a specified length
....:         print x
....:         
[1, 3]
[1, 'two']
[3, 'two']

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Asked: 2010-09-17 01:38:04 -0600

Seen: 95 times

Last updated: Sep 18 '10