17 Oct
2015
17 Oct
'15
5:46 p.m.
Add 'nontrivial', because f(x,y)=-1/2 is a trivial solution. On Oct 17, 2015 5:26 PM, "Dan Asimov" <asimov@msri.org> wrote:
Puzzle: -------
Let D in R^2 denote the open unit disk {(x,y) | x^2 + y^2 < 1}
Let J denote the interval [0,1) x {0} in R^2.
Find a rational mapping
f(x,y) = P(x,y) / Q(x,y)
taking D onto its subset D - J
and prove that this holds.
—Dan _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun