Hi,
It seems the __abs__ method for vectors is missing the part that is
supposed to square the components before they are added.
[e.g. abs(vector([1..5])) should really be
sqrt(1+4+9+16+25)=sqrt(55) ]
The code of the current version is included below.
def __abs__(self):
"""
Return the square root of the sum of the squares of the
entries of this vector.
EXAMPLES:
sage: v = vector([1..5]); abs(v)
sqrt(15)
sage: v = vector(RDF, [1..5]); abs(v)
3.87298334621
"""
return sum(self.list()).sqrt()
The last line should be something like
return sum([x*x for x in self.list()]).sqrt()
(not sure if that is the most efficient way).
--Peter
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