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

 Messages: [ Previous | Next ]
 Dik T. Winter Posts: 424 Registered: 12/6/04
Re: analytic function problem
Posted: Oct 21, 1996 6:41 PM

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
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.
--
dik t. winter, cwi, kruislaan 413, 1098 sj amsterdam, nederland, +31205924131
home: bovenover 215, 1025 jn amsterdam, nederland; http://www.cwi.nl/~dik/

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