[sage-support] All the subsets of a CartesianProduct.

2010-12-19 Thread Francois Maltey

Hello,

I try to work with all the subsets of a cartesian product.

So I begin with

S = Set([1..4])
P = CartesianProduct (S)
Subsets (S) # is right
Subsets (P) # fails

Am I wrong ? (CartesianProduct isn't a Set) or is it a bug in Sage ?

Many thanks for your tips.

Francois

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Re: [sage-support] All the subsets of a CartesianProduct.

2010-12-19 Thread David Joyner
On Sun, Dec 19, 2010 at 9:04 AM, Francois Maltey fmal...@nerim.fr wrote:
 Hello,

 I try to work with all the subsets of a cartesian product.

 So I begin with

 S = Set([1..4])
 P = CartesianProduct (S)
 Subsets (S) # is right
 Subsets (P) # fails

 Am I wrong ? (CartesianProduct isn't a Set) or is it a bug in Sage ?


Not a bug. If you type CartesianProduct? you will see it is an
interator, designed to be used in a for-loop. These are much faster
than set constructors. Here is an example:

  sage: cp = CartesianProduct([1,2], [3,4]); cp
  Cartesian product of [1, 2], [3, 4]
  sage: cp.list()
  [[1, 3], [1, 4], [2, 3], [2, 4]]
  sage: cp.list()
  [[1, 3], [1, 4], [2, 3], [2, 4]]
  sage: for x in cp:
   if 1 in x:
   print x
  :
  [1, 3]
  [1, 4]



 Many thanks for your tips.

 Francois

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