Revision history [back]
 | 1 | initial version |
Not every method -- i.e. a function which lives inside an object -- has a function form. What I mean is that sometimes you can write sqrt(2), because sqrt is a function, but you could also write 2.sqrt(), but not everything is exactly the same.
This holds for simplify too. There is a simplify function, but you can get much tighter control by calling the simplify methods. You can usually look inside an object by hitting TAB. For example:
sage: q = ( sqrt(2) + sqrt(3) ) * ( sqrt(2) - sqrt(3) )
sage: q.[HERE I HIT TAB]
q.N q.exp_simplify q.leading_coeff q.reduce_trig
q.Order q.expand q.leading_coefficient q.rename
q.abs q.expand_log q.left q.reset_name
q.add q.expand_rational q.left_hand_side q.rhs
q.add_to_both_sides q.expand_trig q.lgamma q.right
q.additive_order q.factor q.lhs q.right_hand_side
[etc..]
In sage, lots of functionality lives objects like this. If you type
sage: q.simp[TAB]
q.simplify q.simplify_factorial q.simplify_log q.simplify_rational
q.simplify_exp q.simplify_full q.simplify_radical q.simplify_trig
you'll see a bunch of possibilities. If you type
sage: q.simplify_radical?
you can see the docs for it (and two ?? show the code.)
All of that is a long-winded way to bring us here:
sage: q = ( sqrt(2) + sqrt(3) ) * ( sqrt(2) - sqrt(3) )
sage: q.simplify_radical()
-1
sage: q.simplify_full()
-1
| | 2 | No.2 Revision |
Not every method -- i.e. a function which lives inside an object -- has a function form. What I mean is that sometimes you can write sqrt(2), because sqrt is a function, but and you could also write 2.sqrt(), but not everything is exactly the same.paired up like that.
This holds for simplify too. There is a simplify function, but you can get much tighter control by calling the simplify methods. You can usually look inside an object by hitting TAB. For example:
sage: q = ( sqrt(2) + sqrt(3) ) * ( sqrt(2) - sqrt(3) )
sage: q.[HERE I HIT TAB]
q.N q.exp_simplify q.leading_coeff q.reduce_trig
q.Order q.expand q.leading_coefficient q.rename
q.abs q.expand_log q.left q.reset_name
q.add q.expand_rational q.left_hand_side q.rhs
q.add_to_both_sides q.expand_trig q.lgamma q.right
q.additive_order q.factor q.lhs q.right_hand_side
[etc..]
In sage, lots of functionality lives objects like this. If you type
sage: q.simp[TAB]
q.simplify q.simplify_factorial q.simplify_log q.simplify_rational
q.simplify_exp q.simplify_full q.simplify_radical q.simplify_trig
you'll see a bunch of possibilities. If you type
sage: q.simplify_radical?
you can see the docs for it (and two ?? show the code.)
All of that is a long-winded way to bring us here:
sage: q = ( sqrt(2) + sqrt(3) ) * ( sqrt(2) - sqrt(3) )
sage: q.simplify_radical()
-1
sage: q.simplify_full()
-1
| | 3 | No.3 Revision |
Not every method -- i.e. a function which lives inside an object -- has a function form. What I mean is that you can write sqrt(2), because sqrt is a function, and you could also write 2.sqrt(), but not everything is paired up like that.
This holds for simplify too. There is a simplify function, but you can get much tighter control by calling the simplify methods. You can usually look inside an object by hitting TAB. For example:
sage: q = ( sqrt(2) + sqrt(3) ) * ( sqrt(2) - sqrt(3) )
sage: q.[HERE I HIT TAB]
q.N q.exp_simplify q.leading_coeff q.reduce_trig
q.Order q.expand q.leading_coefficient q.rename
q.abs q.expand_log q.left q.reset_name
q.add q.expand_rational q.left_hand_side q.rhs
q.add_to_both_sides q.expand_trig q.lgamma q.right
q.additive_order q.factor q.lhs q.right_hand_side
[etc..]
In sage, lots of functionality lives inside objects like this. If you type
sage: q.simp[TAB]
q.simplify q.simplify_factorial q.simplify_log q.simplify_rational
q.simplify_exp q.simplify_full q.simplify_radical q.simplify_trig
you'll see a bunch of possibilities. If you type
sage: q.simplify_radical?
you can see the docs for it (and two ?? show the code.)
All of that is a long-winded way to bring us here:
sage: q = ( sqrt(2) + sqrt(3) ) * ( sqrt(2) - sqrt(3) )
sage: q.simplify_radical()
-1
sage: q.simplify_full()
-1
| | 4 | No.4 Revision |
Not every method -- i.e. a function which lives inside an object -- has a function form. What I mean is that you can write sqrt(2), because sqrt is a function, and you could also write 2.sqrt(), but not everything is paired up like that.
This holds for simplify too. There is a simplify function, but you can get much tighter control by calling the simplify methods. You can usually look inside an object by hitting TAB. For example:
sage: q = ( sqrt(2) + sqrt(3) ) * ( sqrt(2) - sqrt(3) )
sage: q.[HERE I HIT TAB]
q.N q.exp_simplify q.leading_coeff q.reduce_trig
q.Order q.expand q.leading_coefficient q.rename
q.abs q.expand_log q.left q.reset_name
q.add q.expand_rational q.left_hand_side q.rhs
q.add_to_both_sides q.expand_trig q.lgamma q.right
q.additive_order q.factor q.lhs q.right_hand_side
[etc..]
In sage, lots of functionality lives inside objects like this. If you type
type
sage: q.simp[TAB]
q.simplify q.simplify_factorial q.simplify_log q.simplify_rational
q.simplify_trig q.simplify_trig
you'll see a bunch of possibilities. If you type
sage: q.simplify_radical?
you can see the docs for it (and two ?? show the code.)
All of that is a long-winded way to bring us here:
sage: q = ( sqrt(2) + sqrt(3) ) * ( sqrt(2) - sqrt(3) )
sage: q.simplify_radical()
-1
sage: q.simplify_full()
-1
