Re: Complex Analysis

From: T-Hope <s0456518@xxxxxxxxxxxx>
Date: Tue, 05 Aug 2008 19:25:51 +0100

Thank you very much for the reply. I am still not with you, I'm sorry. Here's how I see it:

Im=y
|
|
| this minus
| the Re axis
| \/
|
------------------------------------Re=x
* * * * * * * * |* * * * * * * * *
* * * * * * * * |* * * * * * * * *
* * * * * * * * |* * * * * * * * *
* * * * * * * * |* * * * * * * * *
* * * * * * * * |* * * * * * * * *
* * * * * * * * |* * * * * * * * *
* * * * * * * * |* * * * * * * * *

This maps to:

Im=y
|* * * * * * * * *
this minus |* * * * * * * * *
then Im axis >|* * * * * * * * *
|* * * * * * * * *
|* * * * * * * * *
|* * * * * * * * *
------------------------------------Re=x
|* * * * * * * * *
|* * * * * * * * *
|* * * * * * * * *
|* * * * * * * * *
|* * * * * * * * *
|* * * * * * * * *

* - not in the set

So say z=exp([pi]i/6) \in S, then f(z)=exp([pi]i/3) which clearly doesn't lie in the "complex plane minus the non-negative real axis". This is bugging me because the author simply brushes past this as if to say it's obvious but something just isn't clicking. Thanks for your patience.

-T
.

Follow-Ups:
- Re: Complex Analysis
  - From: David C. Ullrich

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