Question

Simplifying the "cat's eye" function $f(z) = \frac {(e^x + 1)z + (e^x - 1)} {(e^x - 1)z + (e^x + 1)}$.

score 92 · Answer 1 · 2017-05-02 07:46:06

92

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Simplifying the "cat's eye" function $f(z) = \frac {(e^x + 1)z + (e^x - 1)} {(e^x - 1)z + (e^x + 1)}$.

Published on 02 May 2017 - 7:46

score 849 · Answer 2 · 2017-05-02 15:44:25

849

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How to show that Mobius transformation is surjective on the unit disk?

Published on 02 May 2017 - 15:44

score 120 · Answer 3 · 2017-05-02 19:52:04

Given a geodesic $I$ and a point $p$ not on $I$, there is a point $q$ on $I$ such that the geodesic joining $p$ and $q$ meets $I$ orthogonally.

score 1.1k · Answer 4 · 2017-05-04 01:49:09

1.1k

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Transitivity of mobius groups

Published on 04 May 2017 - 1:49

score 445 · Answer 5 · 2017-05-06 20:20:39

445

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How to combine these transformations into a single Mobius transformation

Published on 06 May 2017 - 20:20

score 2k · Answer 6 · 2017-05-07 02:54:37

2k

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Inverting a Linear Fractional Transformation

Published on 07 May 2017 - 2:54

score 859 · Answer 7 · 2017-05-07 16:14:04

859

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function $f$ is conjugated by a Möbius transformation, fixed points

Published on 07 May 2017 - 16:14

score 3k · Answer 8 · 2026-03-26 19:37:20

3k

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Finding the Fixed points of a Möbius Transformation

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score 77 · Answer 9 · 2017-05-11 05:18:19

77

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What exactly is an Appollonian Gasket?

Published on 11 May 2017 - 5:18

score 158 · Answer 10 · 2017-05-13 11:53:13

158

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Find the Mobius transformation which maps these ordered points

Published on 13 May 2017 - 11:53

score 253 · Answer 11 · 2017-05-17 16:51:17

253

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finding a möbius transformation for power series

Published on 17 May 2017 - 16:51

score 1.1k · Answer 12 · 2017-05-17 18:52:56

1.1k

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Only three parameters to define a Möbius transformation

Published on 17 May 2017 - 18:52

score 192 · Answer 13 · 2026-03-25 14:27:17

192

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Solving the functional equation $\tau \left(\frac{-1}{z}\right) = - \tau(z)$

Published on 25 Mar 2026 - 14:27

score 89 · Answer 14 · 2017-05-27 04:56:19

89

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Triangle mapping to triangle geometric construction

Published on 27 May 2017 - 4:56

score 2.6k · Answer 15 · 2017-05-29 23:04:29

2.6k

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How to find a Möbius transformation given three points and their images

Published on 29 May 2017 - 23:04

List Question

Simplifying the "cat's eye" function $f(z) = \frac {(e^x + 1)z + (e^x - 1)} {(e^x - 1)z + (e^x + 1)}$.

How to show that Mobius transformation is surjective on the unit disk?

Given a geodesic $I$ and a point $p$ not on $I$, there is a point $q$ on $I$ such that the geodesic joining $p$ and $q$ meets $I$ orthogonally.

Transitivity of mobius groups

How to combine these transformations into a single Mobius transformation

Inverting a Linear Fractional Transformation

function $f$ is conjugated by a Möbius transformation, fixed points

Finding the Fixed points of a Möbius Transformation

What exactly is an Appollonian Gasket?

Find the Mobius transformation which maps these ordered points

finding a möbius transformation for power series

Only three parameters to define a Möbius transformation

Solving the functional equation $\tau \left(\frac{-1}{z}\right) = - \tau(z)$

Triangle mapping to triangle geometric construction

How to find a Möbius transformation given three points and their images

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