#2145 radcan behavior is not consistent with absolute values

open
nobody
5
2012-11-18
2011-01-28
Anonymous
No

This report comes from the Sage support list thread at http://groups.google.com/group/sage-support/browse_thread/thread/5075ee447ee6fdae/e1cb3b38f38e80c9

The fact that the first and second are different isn't good; probably the first one is an oversimplification by radcan?

With maxima 5.23.2:
(%i1) radcan((2*x^2/(x^2+1)-1)/sqrt(-4*x^2/(x^2+1)^2+1) );
(%o1)
1
radcan(((2*x^2-x^2-1)/(x^2+1))/sqrt((x^2-1)^2/(x^2+1)^2));
2
x - 1
(%o2)
--------
!
2 !
!
x - 1!
radcan(((x^2-1)*x/(x^2+1)^2-x/(x^2+1))/sqrt(-(x^2-1)^2/(x^2 +
1)^2 + 1) );
x
(%o3)
- ---------------
2
(x + 1) abs(x)

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No, thanks