Jun's profile - activity

What I'm saying is that I wish something like canonicalize_radical was among that list. I'm sure there are good reasons

That solves it! Thanks. Makes me wonder why simplify_"full" wouldn't do it for me, though.

((sqrt(x)/(x+1))^n * (x+1)^n).simplify_full () returns the given expression as-is, but evidently it should be simplified to sqrt(x)^n. Sage indeed does this if the x+1 is replaced by x or n by a concrete number like 10 (illustrating that sage isn't worried about division by zero, but it's something else). Is there a way to have sage simplify this?

Simplifying a simple rational expression with indeterminate exponent ((sqrt(x)/(x+1))^n * (x+1)^n).simplify_full () retu

Simplifying a simple rational expression with indeterminate exponent ((sqrt(x)/(x+1))^n * (x+1)^n).simplify_full () retu

Sage's simplifier seems to have trouble expanding the square-absolute value of complex numbers:

sage: x,y = var('x,y', domain=RR)
sage: (x^2 + y^2 - abs(x + i*y)^2).simplify_full ()
x^2 + y^2 - abs(x + I*y)^2

How can I ensure sage expands the square-absolute value and simplify this down to zero? I'm aware that using (x + i*y).norm() instead of abs(x + i*y)^2 helps in this particular example, but that solution doesn't generalize. For instance, when I stick expressions involving x, y into vectors and compute the vector norm, the vector norm is expressed in terms of absolute values, so I still need a way to deal with the abs.