Mixing
Properties of analytic transformation z -> 2/z about i+1
$begingroup$
I'm having trouble with this question:
We define the transformation z -> 2/z. Given an assembly of random farm patches of random shape in a small circle with radius ε (-> 0) about the point z= 1+i. When we apply the given transformation, what happens to the following properties:
1) the circumference
2) the area
3) the shape of the patches
What happens to the orientation of the patches?
I'm having difficulties with actually visualizing what exactly is happening here. The transformation projects i+1 to its conjugate, i-1. Does that imply the radius stays constant?Could anyone help me visualize this problem? Any help is much appreciated!
This is my first post so i'm sorry if my question is in a wrong format, any tips are welcome on that part aswell.
complex-analysis
asked Feb 1 at 22:50
Jeroen Jeroen
12
$endgroup$
add a comment |
$begingroup$
I'm having trouble with this question:
We define the transformation z -> 2/z. Given an assembly of random farm patches of random shape in a small circle with radius ε (-> 0) about the point z= 1+i. When we apply the given transformation, what happens to the following properties:
1) the circumference
2) the area
3) the shape of the patches
What happens to the orientation of the patches?
I'm having difficulties with actually visualizing what exactly is happening here. The transformation projects i+1 to its conjugate, i-1. Does that imply the radius stays constant?Could anyone help me visualize this problem? Any help is much appreciated!
This is my first post so i'm sorry if my question is in a wrong format, any tips are welcome on that part aswell.
complex-analysis
asked Feb 1 at 22:50
Jeroen Jeroen
12
$endgroup$
add a comment |
$begingroup$
I'm having trouble with this question:
We define the transformation z -> 2/z. Given an assembly of random farm patches of random shape in a small circle with radius ε (-> 0) about the point z= 1+i. When we apply the given transformation, what happens to the following properties:
1) the circumference
2) the area
3) the shape of the patches
What happens to the orientation of the patches?
I'm having difficulties with actually visualizing what exactly is happening here. The transformation projects i+1 to its conjugate, i-1. Does that imply the radius stays constant?Could anyone help me visualize this problem? Any help is much appreciated!
This is my first post so i'm sorry if my question is in a wrong format, any tips are welcome on that part aswell.
complex-analysis
asked Feb 1 at 22:50
Jeroen Jeroen
12
$endgroup$
I'm having trouble with this question:
We define the transformation z -> 2/z. Given an assembly of random farm patches of random shape in a small circle with radius ε (-> 0) about the point z= 1+i. When we apply the given transformation, what happens to the following properties:
1) the circumference
2) the area
3) the shape of the patches
What happens to the orientation of the patches?
I'm having difficulties with actually visualizing what exactly is happening here. The transformation projects i+1 to its conjugate, i-1. Does that imply the radius stays constant?Could anyone help me visualize this problem? Any help is much appreciated!
This is my first post so i'm sorry if my question is in a wrong format, any tips are welcome on that part aswell.
complex-analysis
complex-analysis
asked Feb 1 at 22:50
Jeroen Jeroen
12
asked Feb 1 at 22:50
Jeroen Jeroen
12
asked Feb 1 at 22:50
Jeroen Jeroen
12
asked Feb 1 at 22:50
Jeroen Jeroen
12
asked Feb 1 at 22:50
Jeroen Jeroen
12
12
add a comment |
add a comment |
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