7.35 Bug in combine in Maple V.4 (27.11.96)

7.35.1 Preben Alsholm
7.35.2 Uwe Klemt
7.35.3 Sjoerd W. Rienstra

7.35.1 Preben Alsholm

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)

7.35.2 Uwe Klemt

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.

7.35.3 Sjoerd W. Rienstra

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.