# S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
 It is currently Tue, 21 May 2013 10:39:41 UTC

 All times are UTC [ DST ]

 Page 1 of 1 [ 6 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: Complex exponential equationPosted: Tue, 14 Sep 2010 17:28:06 UTC

Joined: Fri, 18 Dec 2009 14:15:51 UTC
Posts: 6
Heya

I cant get my head around this one:

e^z = 1 , where z is a complex number

.. what is z ?

thanks

Top

 Post subject: Posted: Tue, 14 Sep 2010 18:36:53 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Sun, 24 Jul 2005 20:12:39 UTC
Posts: 3690
Location: Ottawa Ontario
HINT: (anything)^0 = 1

_________________
I'm not prejudiced...I hate everybody equally!

Top

 Post subject: Re: Complex exponential equationPosted: Tue, 14 Sep 2010 19:48:07 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Wed, 1 Oct 2003 04:45:43 UTC
Posts: 9632
rkj66 wrote:
e^z = 1 , where z is a complex number

.. what is z ?

In order for this to work, we must have a = 0 and

Top

 Post subject: Re: Complex exponential equationPosted: Wed, 15 Sep 2010 21:09:54 UTC

Joined: Fri, 18 Dec 2009 14:15:51 UTC
Posts: 6
Matt wrote:
rkj66 wrote:
e^z = 1 , where z is a complex number

.. what is z ?

In order for this to work, we must have a = 0 and

Thanks for the tip .. that helped. Now i wonder if there is a general solution for the equation:

??

Top

 Post subject: Posted: Thu, 16 Sep 2010 01:13:02 UTC
 Moderator

Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 12098
Location: Austin, TX
Denis wrote:
HINT: (anything)^0 = 1

Remember that complex numbers work differently, so 0 isn't the only thing...

_________________
(\ /)
(O.o)
(> <)
This is Bunny. Copy Bunny into your signature to help him on his way to world domination

Top

 Post subject: Re: Complex exponential equationPosted: Thu, 16 Sep 2010 08:35:16 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Wed, 1 Oct 2003 04:45:43 UTC
Posts: 9632
rkj66 wrote:
Now i wonder if there is a general solution for the equation:

Read about the complex logarithm. If you're taking a complex analysis course, then you'll learn about it eventually.

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 6 posts ]

 All times are UTC [ DST ]

#### Who is online

Users browsing this forum: No registered users

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forum

Search for:
 Jump to:  Select a forum ------------------ High School and College Mathematics    Algebra    Geometry and Trigonometry    Calculus    Matrix Algebra    Differential Equations    Probability and Statistics    Proposed Problems Applications    Physics, Chemistry, Engineering, etc.    Computer Science    Math for Business and Economics Advanced Mathematics    Foundations    Algebra and Number Theory    Analysis and Topology    Applied Mathematics    Other Topics in Advanced Mathematics Other Topics    Administrator Announcements    Comments and Suggestions for S.O.S. Math    Posting Math Formulas with LaTeX    Miscellaneous