Re: midpoint, slitpoint
Arnold
On 11 May 2012, at 20:20, Arnold Neumaier wrote:
> On 05/11/2012 06:21 PM, Jürgen Wolff von Gudenberg wrote:
>> P1788
>> what do you think of the proposal to define the bisect operation with
>> the splitpoint as a parameter ? then eithr midpoint or flmean or any
>> interior point can be used.
>> If we offer a default, flmean seems to be a good choice
>
> There is no good default.
>
> flmean has serious deficiencies for splitting [0,1],
> while the midpoint has serious deficiencies for [1,1e12].
Can you elaborate? What is flmean's deficiency over [0,1]? I don't think anyone has given a precise spec of an flmean that removes the exceessive bunching of numbers near zero, so your answer may clarify.
John