Re: IEEE Std.1788, inner operations, MD-RDM-IA, the Laws of Motion

[Mehran Mazandarani <me.mazandarani@xxxxxxxxx>]

Dear John
Thank you for your reply.
Let me inherit, to some extent, obstinacy from you, and say that, it
can be concluded that the notion of differentiability in that page is
lost.

Warmest regards,


On 10/21/15, John Pryce <PryceJD1@xxxxxxxxxxxxx> wrote:
> Hi Mehran
>
> On 21 Oct 2015, at 12:03, Mehran Mazandarani <me.mazandarani@xxxxxxxxx>
> wrote:
>> Now, let me ask you some questions. What was the definition of derivative
>> for interval-valued function in the page 7 of your presentation at 16th
>> GAMM-IMACS symposium on Scientific Computing, Computer Arithmetic and
>> Validated Numerics 21{26 September 2014, Wurzburg, Germany?
> Read it again. It isn't a "derivative for interval-valued function".
> It is "interval version of a derivative". This is explicitly said half way
> down page 7.
> f is a point function.
> We form the derivative f', another point function.
> Then we form some interval version (=extension) of f', "bold f'" which I'll
> write ~f'. It doesn't matter which extension, but there will be some
> expression for f' and we can take ~f' to be the result of
> interval-evaluating this expression.
>
>> What is the notion of differentiability of interval-valued function?
> I don't know!
>
>> Is it possible you can present a well-define of the notion?
> No.
>
> John P
>
>
>


-- 
Mehran Mazandarani
Department of Electrical Engineering
Ferdowsi University of Mashhad, Mashhad, Iran.
homepage:http://mehran.mazandarani.fumblog.um.ac.ir/
http://works.bepress.com/mehran_mazandarani
IEEE Member, me.mazandarani@xxxxxxxx