Yo !
> Ah, seems to be quite a compact form!
Yeah, but it only does what you want. Nothing involving more
complicated objects like category functions do.
> But after two days of wondering I don't know how to generate all lower
> triangular matrices with non-zero elements taken from, say, [0,1]. For all
> matrices it seems simple:
Try to understand how that works then:
from itertools import product
n = 3
S = [-1,1]
for m in product(*[S if i>=j else [0] for i in range(n) for j in range(n)]):
m = Matrix(n,n,m)
print m.str()
print '-'*20
>> P.S. : Sage is open source: when you hate something, come and change it.
>
> It's not always possible. Or what_to_do to DifferentNamingStyles like
> KleinFourGroup vs. is_isomorphic?
Believe me: this is the kind of stuff that frequent developpers do not
see anymore on sage-devel, and if you don't bring it up it will never
change. My answer, which is just a description of what is going on, is
that you will see upper case in functions which "create a mathematical
object", i.e. a group, a graph, that sort of things, while the methods
applied to them are in lower case.
But basically I was not even conscious of that, even though I have
been applying it for years. So write to sage-devel whenever something
feels wrong.
This "CartesianProduct" AND "cartesian_product" should be removed. But
that's categories, so you never know when that will happen.
Have fuuuuuuuun !
Nathann
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