On Sat, 22 Mar 2008 23:29:10 +0100, Christian Heimes
[EMAIL PROTECTED] wrote:
Matthias Götz schrieb:
So can you tell me what's the purpose of Complex.py,
and where can i find the semantic i'am looking for.
Well, the file is in the Demo folder. It's just a demo how to implement
a naive complex type in Python.
Why do you think the power of a complex to a complex is not defined?
Raising a complex to a complex power is well defined,
Really? One of the problems that used to show up on the master's
exams aroung here was to find all the possible values of i**i.
although the
mathematical proof isn't trivial. You have to use the Euler form.
Erm, the problem is that the Euler form of a complex number is
not well-defined (_unless_ you specify that the argument is
between -pi and pi). For example, i = exp(i pi/2) and also
i = exp(i 5*pi/2); those two forms give different values for i**i.
You might say that a complex power of an Euler form for a
complex number is well-defined.
If you do specify that -pi argument = pi, ie you consider
the principal-value logarithm, then you get exactly one z**w.
But that's not always the z**w that you need for your problem...
Ask
Google for some examples
Thanks.
Christian
David C. Ullrich
--
http://mail.python.org/mailman/listinfo/python-list
