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

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 Tleko Posts: 341 Registered: 12/12/04
Re: analytic function problem
Posted: Oct 7, 1996 8:52 AM
 Plain Text Reply

In article <52ro6p\$mcm@aplinfo.jhuapl.edu> Hunter James
<hunter@aplcomm.jhuapl.edu> wrote:

: I see what you mean. And with that observation, we have the jingo:
:
: y is an analytic function of both z and z*, if, and only if,
: it is a "function" of neither.

Indeed we have z=z* .

We write z=r.exp(i.@)

z*=r.exp(i.(-@))

to obtain z-z*=r.((cos@+i.sin@)-(cos(-@)+i.sin(-@-pi))) = 0 .

---------------------------------------------

In the article <199610062112.OAA1437@alumni.caltech.edu>
Ilias Kastanas wrote:

: Your statement that z = z* bears no relation to the fact that if
: f(z) is analytic then df/dz* = 0. You are saying that x + iy = x -
iy,
: which is complete and unadulterated nonsense.

What is df/dz* ?

: You do not listen to or think about what other people say.

Some people say but they don't think.
-------------------------------------------------------
In article
<199610070856.KAAO1897@maloche.neuroinformatik.ruhr-uni-bochum.de>
David Kastrup <dak@fsnif.neuroinformatik.ruhr-uni-bohum.de> wrote:
>
> In article <52ro6p\$mcm@aplinfo.jhuapl.edu> Hunter James
> <hunter@aplcomm.jhuapl.edu> wrote:
> : I see what you mean. And with that observation, we have the jingo:
> :
> : y is an analytic function of both z and z*, if, and only if,
> : it is a "function" of neither.

Indeed we have z=z* .

We write z=r.exp(i.@)

z*=r.exp(i.(-@))

to obtain z-z*=r.((cos@+i.sin@)-(cos(-@)+i.sin(-@-pi))) = 0 .

> This above all proves that you are not wanting to make any sensible
> claims but are just out to "prove" nonsense by mixing your geometric
> functions up. The "-pi" in the above is absolute nonsense and not
> justifiable at all. If you cross out that junk, you arrive at
> z-z* = 2 r i sin@
>
> Which is, pretty obvious for all bu the hopefully dense, the 2i Im(z)
> which you could have arrived at without employing polar coordinates.
>
> As you don't seem to be interested in any sane arguments, I'd ask you
> not to write to me any more.

Thanks,

--
David Kastrup Institut fuer Neuroinformatik, Ruhr-Universitaet Bochum
Email: dak@neuroinformatik.ruhr-uni-bochum.de Telephon: +49-234-700-5570
-----------------------------------------------

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
10/9/96 Simon Read
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
10/15/96 Simon Read
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

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