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December 27th, 2016, 03:00 AM  #1 
Senior Member Joined: Jul 2015 From: Florida Posts: 111 Thanks: 2 Math Focus: noneuclidean geometry  Does anyone know this function?
This is a family of functions where a third variable sets the curve: It is a smooth function that approaches a sine curve when , and that approaches a hyperbola when . 
December 27th, 2016, 03:28 AM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 982 Thanks: 347 Math Focus: Yet to find out. 
Looks like a filter of sorts

December 27th, 2016, 03:33 AM  #3 
Senior Member Joined: Jul 2015 From: Florida Posts: 111 Thanks: 2 Math Focus: noneuclidean geometry 
It's a geometric function. It finds the tangent of a small circle on a sphere using trigonometry.

December 27th, 2016, 03:42 AM  #4 
Senior Member Joined: Feb 2016 From: Australia Posts: 982 Thanks: 347 Math Focus: Yet to find out. 
Looks like you know what the function is

December 27th, 2016, 03:50 AM  #5 
Senior Member Joined: Jul 2015 From: Florida Posts: 111 Thanks: 2 Math Focus: noneuclidean geometry 
I'm asking if anyone else knows. Some of the online experts claim that this is just some set of trivial rotations. I'm wondering if anybody here knows for sure what this is. Has anyone seen it before? 

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