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Topic: analytic function problem
Replies: 76   Last Post: Oct 28, 1996 11:08 AM

 Messages: [ Previous | Next ]
 Ariel Scolnicov Posts: 32 Registered: 12/12/04
Re: analytic function problem
Posted: Oct 22, 1996 2:31 AM

dik@cwi.nl (Dik T. Winter) writes:

> In article <T.Moore-211096104446@130.123.97.36> T.Moore@massey.ac.nz (Terry Moore) writes:
> > In article <DzJv9L.DLI@cwi.nl>, dik@cwi.nl (Dik T. Winter) wrote:
> > > And you ought to have
> > > given definitions etc. in Tleko mathematics because now we have no idea
> > > what you are talking about.

> >
> > He did. With z = x+iy, I think he defined
> > df(z)/dz = lim(f((x+h)+i(y+k))-f(x+iy))/(h+ik)) if y >= 0.
> > For y < 0 he changed the sign of the k in the denominator.

>
> It is my impression that he changed definition along the way.
> Initially his position was (I think) that
> df(z)/dz = lim(f((x+h)+i(y+k))-f(x+iy))/(h+sign(x*y).ik))
> viz. his remarks that z was analytical in the first and third
> quadrant and z* was analytical in the second and fourth quadrant,
> and not analytical elsewhere. His current position appears to
> be that sign(x*y) is to be replaced by sign((f(z)-f(x))*(z-x)) or
> something involving such a factor, viz. his remark that z is
> analytical where z* is and vv. (contradicting his previous
> assertions).
>
> Or perhaps there is no strict relation in Tleko mathematics between
> the existance of a derivative and analyticality. Perhaps true,
> because it also appears to be that in Tleko mathematics a function
> is analytical if Tleko feels that plots of the real and imaginary
> parts (according to Tleko mathematics) show that a function is
> analytical.

No, no no. In order to prove analyticality (is it different from
analyticity in our domain?), you have to FAX someone the plots. Just
looking at plots has never been a valid proof of anything!

Regardless, your post definitely shows that the question of whether
ZFT is consistent is settled.

Date Subject Author
9/30/96 Christopher
9/30/96 David Ullrich
9/30/96 Hunter James D. STA x4202
10/1/96 David Ullrich
9/30/96 ilias kastanas 08-14-90
9/30/96 Dik T. Winter
10/1/96 David Kastrup
10/1/96 Hunter James D. STA x4202
9/30/96 Zdislav V. Kovarik
9/30/96 Anne DeCampo
10/2/96 Christopher
10/1/96 Tleko
10/2/96 David Kastrup
10/3/96 Dik T. Winter
10/3/96 Tleko
10/3/96 David Ullrich
10/3/96 Tleko
10/3/96 Dik T. Winter
10/3/96 Tleko
10/3/96 Zdislav V. Kovarik
10/5/96 Tleko
10/5/96 Dik T. Winter
10/6/96 Tleko
10/6/96 David Ullrich
10/7/96 ilias kastanas 08-14-90
10/7/96 Tleko
10/7/96 Andreas Leitgeb
10/7/96 Andreas Leitgeb
10/7/96 ilias kastanas 08-14-90
10/8/96 Tleko
10/8/96 Zdislav V. Kovarik
10/8/96 ilias kastanas 08-14-90
10/9/96 David Ullrich
10/8/96 Jim Hunter
10/8/96 Tleko
10/9/96 David Kastrup
10/9/96 Ilias Kastanas
10/11/96 Tleko
10/12/96 ilias kastanas 08-14-90
10/12/96 Dik T. Winter
10/11/96 Tleko
10/11/96 Tleko
10/11/96 Tleko
10/11/96 Tleko
10/11/96 Tleko
10/12/96 Tleko
10/12/96 Sue Franklin
10/13/96 Ilias Kastanas
10/13/96 Tleko
10/13/96 Tleko
10/13/96 ilias kastanas 08-14-90
10/14/96 Dik T. Winter
10/13/96 Tleko
10/13/96 Tleko
10/14/96 ilias kastanas 08-14-90
10/14/96 Dik T. Winter
10/15/96 Tleko
10/15/96 David Kastrup
10/15/96 Ilias Kastanas
10/16/96 Tleko
10/16/96 Dik T. Winter
10/17/96 Raymond DeCampo
10/18/96 Ariel Scolnicov
10/19/96 Tleko
10/19/96 Dik T. Winter
10/20/96 Terry Moore
10/21/96 Dik T. Winter
10/22/96 Ariel Scolnicov
10/20/96 Tleko
10/21/96 Terry Moore
10/22/96 David Kastrup
10/23/96 Tleko
10/24/96 Gunter Bengel
10/28/96 David Kastrup
10/28/96 David Ullrich