Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

 Messages: [ Previous | Next ]
 David Kastrup Posts: 1,472 Registered: 12/7/04
Re: analytic function problem
Posted: Oct 28, 1996 7:09 AM

tleko@aol.com (Tleko) writes:

> In the article <9610231009.AA20855=dik@bever.cwi.nl>
> Dik.Winter@cwi.nl wrote:

> > On Wed Oct 23 11:29:49 1996 Tleko wrote:
> > > > z-z* = r.((cos@+isin@)-(cos(-@-pi)+isin(-@-pi)))
> > > > = r.((cos@+isin@)-(-cos@ + isin@)) = 2 r cos@

> > > It should read :
> > > z-z*=r.((cos@+isin@)-(cos(-@)+isin(-@-pi))) = 0.

>
> > On Mon 21 Oct 1996 23:24:01 Tleko wrote:
> >> r.exp(i.(-@-pi)) = r.(cos(-@-pi)+i.sin(-@-pi)).
> >
> > Now, as z = r.exp(i.(-@-pi)) what is it?

>
> To derive the identity z=z* one must add pi only to the imaginary
> value of z* to re-orient the axis y and write
>
> z* = r.(cos(-@)+isin(-@-pi))
>
> to obtain z-z* = 0. Otherwise we would have z-z* = 2 r cos@ .

Which would be the correct result if one started from your (wrong)
definition of z*. It's really crazy: to "prove" that common math is
"faulty", you start by changing the definition of z*. As if that
would not have been sufficient for rendering your argument moot, you
use wrong trigonometric identities, and and explain that you have
to use them in order to get a result inconsistent *both* with

This is a troll, right?

--
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
10/8/96 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