Global maximum of ?(x)-x

Gene Smith genewardsmith at gmail.com
Mon Jun 12 10:38:45 CEST 2006


On 6/10/06, Joseph Biberstine <jrbibers at indiana.edu> wrote:
>
>         Not clever enough to figure this out a reliable computation of
> this
> myself.  Please help find enough accurate terms for OEIS and I will of
> course credit you.
>
>         Consider f(x) := ?(x)-x where ?(x) is Minkowski's question mark
> function.
>         Recently I've wondered at what value xmax f will obtain its global
> maximum (mod 1).



Another question is where does ?x)=x, aside from the obvious places at
integers and half integers.

I'd plot it with Maple, but Maple is so screwed up about plotting; a
function can return a value but Maple won't like it.
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