1 | initial version |
When you write a=[(1,0,0)]
, a
becomes the name of a list that contains a single element, which is the tuple (1,0,0)
, list and tuples are Python objects.
Note that tuples can be added, but since most Python programmers are not mathematicians, the most useful way to define addition is by concatenation:
sage: (1,0,0) + (3,4)
(1, 0, 0, 3, 4)
sage: (1,0,0) + ('a','b')
(1, 0, 0, 'a', 'b')
For tuples and lists, subtraction is not defined:
sage: (1,0,0) - (3,4,4)
TypeError: unsupported operand type(s) for -: 'tuple' and 'tuple'
So, it s better to define points in a vector space as vectors themselves, and the vector joining the two points is just their difference:
sage: a = vector((1,0,0))
sage: b = vector((0,-1,0))
sage: u = b-a
sage: u
(-1, -1, 0)