devcoder
Reputation
251
Top tag
Next privilege 500 Rep.
Access review queues
 Jan 26 awarded Popular Question Oct 1 awarded Popular Question Nov 18 awarded Popular Question Jul 2 awarded Curious Jun 24 awarded Popular Question May 19 awarded Popular Question Apr 29 awarded Organizer Apr 29 revised Finding an angle of a triangle in the upper half plane model given three points Added "conplex analyis" tag Apr 29 suggested approved edit on Finding an angle of a triangle in the upper half plane model given three points Apr 22 asked How to prove that there is a unique geodisic segment that is pependicular to two other geodesics? Apr 22 accepted Finding a hyperbolic isometry that fixes the point $x = 2$ and $x = 17$ Apr 21 comment 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 ? Apr 21 comment 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 ? Apr 21 comment 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 ? Apr 21 comment 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 ? Apr 21 revised Finding a hyperbolic isometry that fixes the point $x = 2$ and $x = 17$ added 1 characters in body Apr 21 asked Finding a hyperbolic isometry that fixes the point $x = 2$ and $x = 17$ 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 Apr 21 asked Calculating hyperbolic distance between two points Apr 20 comment 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 ?