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Re: Re: Re: Plot Sequencies of Complex Functions

• To: mathgroup at smc.vnet.net
• Subject: [mg67093] Re: [mg67045] Re: Re: [mg67034] Plot Sequencies of Complex Functions
• From: Murray Eisenberg <murray at math.umass.edu>
• Date: Fri, 9 Jun 2006 01:07:39 -0400 (EDT)
• Organization: Mathematics & Statistics, Univ. of Mass./Amherst
• References: <200606080853.EAA12198@smc.vnet.net>
• Reply-to: murray at math.umass.edu
• Sender: owner-wri-mathgroup at wolfram.com

What do you mean when you ask to "plot" a sequence of complex functions? 
  Even what it means to "plot" a single complex function is unclear!  I 
presume you are referring to a function from the complex numbers to the 
complex numbers, such as is given by f(z) = z^3.  It is impossible to 
directly visualize the graph of this function, since that would require 
2*2 = 4 real dimensions.  Of course there are various indirect ways to 
get at visualizing such a function, such as drawing various curves in 
one plane and then showing their images in another plane next to that. 
Or, you could draw a 3-dimensional plot of the real part of f(z) as a 
function of z along with another 3D plot of the imaginary part of f(z) 
as a function of z.

Eleanna Tsoumani wrote:
> Hi again,
>    
>   Thanks for the suggestions! They were very helpful!
>    
>   If I may have one more question: How can I plot the sequence of complex functions?
>    
>   Many Thanks to all,
>   Eleanna

-- 
Murray Eisenberg                     murray at math.umass.edu
Mathematics & Statistics Dept.
Lederle Graduate Research Tower      phone 413 549-1020 (H)
University of Massachusetts                413 545-2859 (W)
710 North Pleasant Street            fax   413 545-1801
Amherst, MA 01003-9305

• References:
  • Re: Re: Plot Sequencies of Complex Functions
    • From: Eleanna Tsoumani <eleanna_tsoumani@yahoo.gr>