|
convert/RealRange - convert ComplexRanges into RealRanges
|
|
Calling Sequence
|
|
convert( expr, RealRange )
|
|
|
Description
|
|
|
|
Note: in Maple, by convention, when you say, for instance,  , it is implicitly assumed that  = 0.
|
|
|
|
Examples
|
|
|
>
|
|
|
| (1) |
|
>
|
|
|
| (2) |
|
>
|
|
|
| (3) |
|
>
|
|
|
| (4) |
In turn, RealRanges as well as ComplexRanges can be converted into relations.
|
>
|
![[`in`(Re(z), 0), `in`(Im(z), RealRange(-infinity, 1))] = convert([`in`(Re(z), 0), `in`(Im(z), RealRange(-infinity, 1))], relation)](/support/helpjp/helpview.aspx?si=5711/file03621/math99.png)
|
|
![[`in`(Re(z), 0), `in`(Im(z), RealRange(-infinity, 1))] = [Re(z) = 0, And(-infinity <= Im(z), Im(z) <= 1)]](/support/helpjp/helpview.aspx?si=5711/file03621/math102.png)
| (5) |
|
>
|
|
|
![[arccot(z), `in`(z, ComplexRange(-infinity*I, -I)), `in`(z, ComplexRange(I, infinity*I))]](/support/helpjp/helpview.aspx?si=5711/file03621/math109.png)
| (6) |
|
>
|
![convert([arccot(z), `in`(z, ComplexRange(-infinity*I, -I)), `in`(z, ComplexRange(I, infinity*I))], relation)](/support/helpjp/helpview.aspx?si=5711/file03621/math113.png)
|
|
![[arccot(z), And(Re(z) = 0, -infinity <= Im(z), Im(z) <= -1), And(Re(z) = 0, 1 <= Im(z), Im(z) <= infinity)]](/support/helpjp/helpview.aspx?si=5711/file03621/math116.png)
| (7) |
Note that when constructions such as  or  are used, it is understood that  is real
|
>
|
|
|
![[arcsin(z), z <= -1, 1 <= z]](/support/helpjp/helpview.aspx?si=5711/file03621/math131.png)
| (8) |
|
|
Download Help Document
Was this information helpful?
