| bio | website | |
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| visits | member for | 1 year, 2 months |
| seen | May 8 at 18:23 | |
| stats | profile views | 45 |
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Apr 29 |
awarded | Organizer |
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Apr 29 |
revised |
Finding an angle of a triangle in the upper half plane model given three points Added "conplex analyis" tag |
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Apr 29 |
suggested | suggested edit on Finding an angle of a triangle in the upper half plane model given three points |
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Apr 29 |
revised |
How can I find if two isometries are conjugate of each other or not? added 46 characters in body |
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Apr 29 |
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How can I find if two isometries are conjugate of each other or not? @CameronBuie - I tried to compose the isometries using the equation you gave and got $ {az + 28bz + b \over cz+28dz+d} = {5az + 5b + 19cz + 19d \over az+b+4cz+4d}$, but then it just got fairly messed up from there. |
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Apr 28 |
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How can I find if two isometries are conjugate of each other or not? @GerryMyerson - Apologies, I wasn't readily near a terminal this weekend. But yes, I'm not sure what exactly is meant by "conjugate" isometries, hence the lost comment. I will try to improve the wording on future questions. |
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Apr 27 |
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How can I find if two isometries are conjugate of each other or not? @CameronBuie - Could you elaborate on what FLT is ? All I could find on google about it is Fermat's Last Theorem, but this is not related to that. |
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Apr 26 |
asked | How can I find if two isometries are conjugate of each other or not? |
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Apr 22 |
asked | How to prove that there is a unique geodisic segment that is pependicular to two other geodesics? |
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Apr 22 |
accepted | Finding a hyperbolic isometry that fixes the point $x = 2$ and $x = 17$ |
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Apr 21 |
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Finding a hyperbolic isometry that fixes the point $x = 2$ and $x = 17$ Awesome I appreciate all your help. I have another question on a related note and didn't want to open another topic since it is so related. If I had a parabolic isometry that fixes $x = 17$, I assume the first step would be same $f(z) = z$ and $ a + d = 2$? But since the equation has two roots, but I have only one fixed points, how should I proceed in that case ? |
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Apr 21 |
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Finding a hyperbolic isometry that fixes the point $x = 2$ and $x = 17$ Checking for hyperbolic isometry, isn't that just checking $a+d > 2$ and $ad-bc \ne 0$, or is there something more involved than that ? |
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Apr 21 |
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Finding a hyperbolic isometry that fixes the point $x = 2$ and $x = 17$ So when you say to check whether the resulting function $f$ does what it is supposed to do, does that mean put the values of a,b,c,d in the original equation and make sure that they equal to 2 or 17 ? |
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Apr 21 |
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Finding a hyperbolic isometry that fixes the point $x = 2$ and $x = 17$ I'm trying to understand the process so please bear with me. At first I see that you set f(z) = z. I'm not sure why, could you please explain this? In the end, to get the answer should I just choose any a, b, c, d values that satisfy all those equations ? |
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Apr 21 |
revised |
Finding a hyperbolic isometry that fixes the point $x = 2$ and $x = 17$ added 1 characters in body |
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Apr 21 |
asked | Finding a hyperbolic isometry that fixes the point $x = 2$ and $x = 17$ |
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Apr 21 |
comment |
Calculating hyperbolic distance between two points @J.M. - I don't have the tab open anymore, but it was in one of the links I found through googling |
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Apr 21 |
asked | Calculating hyperbolic distance between two points |
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Apr 20 |
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Find an orientation preserving isometry $f (z) = \frac{az+b}{cz+d}$ such that $f (i) = 17 + 3i$ Thank you! I'd like to read more about polynomials over z preserving orientation and holomorphic functions because I don't understand those yet. Any specific sources you suggest ? |
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Apr 20 |
awarded | Yearling |