How do I find the subsets of given Set?
I have code that looks like this:
def Z(m,n):
return CartesianProduct(IntegerRange(m),IntegerRange(n))
print Subsets(Z(2,2))
However, when I try to run it, it gives me the following scary error:
---------------------------------------------------------------------------
TypeError Traceback (most recent call last)
/home/math4tots/math/<ipython console> in <module>()
/opt/sage-4.8-linux-64bit-ubuntu_10.04.3_lts-x86_64-Linux/local/lib/python2.6/site-packages/sage/combinat/combinat.pyc in __str__(self)
1052 'Partitions of the integer 5'
1053 """
-> 1054 return self.__repr__()
1055
1056 def _repr_(self):
/opt/sage-4.8-linux-64bit-ubuntu_10.04.3_lts-x86_64-Linux/local/lib/python2.6/site-packages/sage/combinat/subset.pyc in __repr__(self)
152 'Subsets of {1, 2, 3}'
153 """
--> 154 return "Subsets of %s"%self.s
155
156 def __contains__(self, value):
/opt/sage-4.8-linux-64bit-ubuntu_10.04.3_lts-x86_64-Linux/local/lib/python2.6/site-packages/sage/structure/sage_object.so in sage.structure.sage_object.SageObject.__repr__ (sage/structure/sage_object.c:1492)()
/opt/sage-4.8-linux-64bit-ubuntu_10.04.3_lts-x86_64-Linux/local/lib/python2.6/site-packages/sage/sets/set.pyc in _repr_(self)
673 {0, 1}
674 """
--> 675 s = repr(self.set())
676 return "{" + s[5:-2] + "}"
677
/opt/sage-4.8-linux-64bit-ubuntu_10.04.3_lts-x86_64-Linux/local/lib/python2.6/site-packages/sage/sets/set.pyc in set(self)
717 <class 'sage.sets.set.Set_object_enumerated_with_category'>
718 """
--> 719 return set(self.object())
720
721 def frozenset(self):
TypeError: unhashable type: 'list'
What did I do wrong? What is the canonical way to handle this situation?
I was expecting an output something along the lines of "Subsets of Cartesian Product of {0..2} {0..2}"