Re: [math-fun] Mediant question

A kind soul has pointed out that I spaced out when typing the mediant. For positive fractions p/q and r/s assumed to be in lowest terms, their mediant (CORRECTED) is med(p/q, r/s) = (p+r)/(q+s) . (It's well known that med(p/q, r/s) always lies strictly between p/q and r/s.) —Dan

On Feb 3, 2017, at 1:08 AM, Dan Asimov <asimov@msri.org> wrote:

The mediant of any 2 positive rational numbers p/q and r/s is

[WRONG:] med(p/q, r/s) = (p+q)/(r+s).

This can be thought of as a mapping

med: Q+ x Q+ —> R

from the cartesian product of the positive rationals with itself to the reals.

Question: --------- Is med the restriction to Q+ x Q+ of some continuous function

Med: R x R —> R

???