Hi,
To learn SAGE takes a while, and good exercises are scarce.
It was mentioned before, but the site http://projecteuler.net/ is
interesting. The idea is to solve relatively simple mathematical
problems and the level is going up slowly. For instance group
operations, read/write to a file, speed are topics you will
encounter.

Until now I solved 38 problems. Two questions arise:
1.      Suppose you have two functions: SLOW and FAST which return the
boolean True or False.
Is there a difference in speed between:
a.      If SLOW and FAST: ….
b.      If FAST and SLOW: ….
The second option seems faster because only SLOW is executed if
FAST==True. Or does the compiler checks this?

2.      Is there a more elegant way for:
for k1 in range(-2,3):
 for k2 in range(-2,3):
  for k3 in range(-2,3):
   for k4 in range(-2,3):
    for k5 in range(-2,3):
     for k6 in range(-2,3):
      for k7 in range(-2,3): ?

Roland

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