I ran into this bug today (Maple V, Release 4.00b):
combine( 2^(1/3)+I*2^(1/3) ); 2*2^(1/3)
The same bug appears with combine(..., radical). It also appears for other expressions of the same form:
n^(p/q)+I*n^(p/q)
with n, p, and q being actual integers.
Addendum to my first post.
combine( a^(1/3)+b*I*a^(1/3) ); a^(1/3)+b*a^(1/3)
The imaginary unit I is simply gone!
The bug is removed in Maple V Release 5. (U. Klein)
Using the option ’conjugate’ in combine avoids at least the disappearing of the imaginary unit, but does no combining at all. I guess this is not what you really want.
Indeed a mystery:
in anything like:
combine(a^(2/7)+I*b^(5/13));
with powers, other than (1/2)
, the "I" dispappears.
However, if we add the option "power"
combine(a^(2/7)+I*b^(5/13),power);
the answer is again allright.