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