How to draw z^(i+2)


by alazhumizhu
Tags: draw
alazhumizhu
alazhumizhu is offline
#1
Jan31-13, 06:58 PM
P: 5
For example :
z={z|0<=arg z<=(pi)/6}
Draw w=z^(i+2).
I can draw w=z^2 and w=z^i
But w=z^(I+2)is a holy garbagety
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chiro
chiro is offline
#2
Jan31-13, 07:20 PM
P: 4,570
Hey alazhumizhu and welcome to the forums.

You might want to consider drawing two three dimensional graphs (one for the real and one for the imaginary), or look at drawing individual "line segments" of the mapping and building up the visual intuition that way.
joeblow
joeblow is offline
#3
Jan31-13, 08:16 PM
P: 71
[tex]z^k=e^{k\log z}[/tex]

Then you can find the image by composing these easier maps.


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