Re: Four vs. five decorations

[Dominique Lohez <dominique.lohez@xxxxxxx>]

Nate Hayes a écrit :
> Dominique Lohez wrote:
> > Nate Hayes a écrit :
> > > so for the sake of keeping discussion focused, I attach a PDF
> > > addressing my thoughts only on the first of these two issues. I'll give
> > > examples later addressing the topic of bare decorations.
> > IMHO the touble with set operators lies that as noted their behavior
> > depends on extra information.
> > So the position of Arnold Neumaier   may be valid if the stated 
> > conditions
> > hold.
>
> ???
Your example  works very nicely at level 1 and lower level because the 
vale are    small integers  and rational numbers with denominator which 
are power of 2 .
Replace 2 by 3 and a lot of problems arises:  You have to use partial 
interval overlapping other the piecewise defined function may be undefined.



Suppose that you work with the Dan Zuras' potential well functions with 
a > 0

potential (x) = sqrt(x² -a)  if       |x| >= sqrt(a)
                       -sqrt(a-x^2 )    if |x |  <=  sqrt(a)

To keep the function defined in the interval of use the function have to 
be modified in contradictory in the various intervals

The approximate function of the initially continuous function may 
become  not continuous.

The problem is really difficult.  Even a cautious programmer  may fail.

Thus the program  must never lie
It must never believe the programmer implicit extra-assertions and check 
from known data and decorations

Dominique
> > --
> > Dr Dominique LOHEZ
> > ISEN
> > 41, Bd Vauban
> > F59046 LILLE
> > France
> >
> > Phone : +33 (0)3 20 30 40 71
> > Email: Dominique.Lohez@xxxxxxx


--
Dr Dominique LOHEZ
ISEN
41, Bd Vauban
F59046 LILLE
France

Phone : +33 (0)3 20 30 40 71
Email: Dominique.Lohez@xxxxxxx