comp.lang.idl-pvwave archive: archive

Home » Public Forums » archive » Re: Math Question

Show: Today's Messages :: Show Polls :: Message Navigator
E-mail to friend

Re: Math Question [message #51105 is a reply to message #51104]

Mon, 30 October 2006 10:15

James Kuyper
Messages: 425
Registered: March 2000

Senior Member

I shouldn't attempt to remember advanced mathematics in public when I'm
less than fully awake. :-( It's been a long time since I actually used
any of this stuff.

kuyper@wizard.net wrote:
...
> Considered solely as a function whose domain and range are restricted
> to real numbers, x^(a/b), should have two solutions if b is even, and 1
> solution if b is odd, regardless of whether x is positive.

That should be "two solutions if b is even and x is positive, and 1
solution if b is odd, regardless of whether x is positive".

After realizing that mistake, I decided to double check my statement
about the case where the range includes complex values:

...
> If a and b are mutually prime integers, then mathematically, x^(a/b)
> has b different values, at most two of which are real, the others are
> complex. If b is odd, only one of the values is real. This is true,

That count of real values is based upon the assumption that the
imaginary part of x is 0, and that x is positive. There's no simple
statement that covers the general case.

Report message to a moderator

[Message index]

		Re: Math Question By: rkombiyil on Wed, 01 November 2006 04:51
		Re: Math Question By: Jo Klein on Tue, 31 October 2006 04:33
		Re: Math Question By: news.qwest.net on Mon, 30 October 2006 13:07
		Re: Math Question By: Jean H. on Mon, 30 October 2006 12:32
		Re: Math Question By: Jean H. on Mon, 30 October 2006 12:35
		Re: Math Question By: Jo Klein on Mon, 30 October 2006 12:17
		Re: Math Question By: Braedley on Mon, 30 October 2006 10:22
		Re: Math Question By: James Kuyper on Mon, 30 October 2006 10:15
		Re: Math Question By: David Fanning on Mon, 30 October 2006 09:19
		Re: Math Question By: James Kuyper on Mon, 30 October 2006 09:04
		Re: Math Question By: news.qwest.net on Mon, 30 October 2006 08:54
		Re: Math Question By: Foldy Lajos on Mon, 30 October 2006 07:29
		Re: Math Question By: edward.s.meinel@aero. on Mon, 30 October 2006 07:19
		Re: Math Question By: Rob Dimeo on Sun, 29 October 2006 16:15
		Re: Math Question By: Robbie on Sun, 29 October 2006 15:40
		Re: Math Question By: Robbie on Sun, 29 October 2006 15:01
		Re: Math Question By: Foldy Lajos on Sun, 29 October 2006 09:59

Previous Topic:	Re: Determining a safe variable name from a string
Next Topic:	overlaying arrow plots

-=] Back to Top [=-

[ Syndicate this forum (XML) ] [

] [

]

Current Time: Fri Oct 10 01:09:46 PDT 2025

Total time taken to generate the page: 0.39991 seconds