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December 27th, 2016, 03:00 AM   #1
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Math Focus: non-euclidean 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 .
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December 27th, 2016, 03:28 AM   #2
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Math Focus: Yet to find out.
Looks like a filter of sorts
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December 27th, 2016, 03:33 AM   #3
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Math Focus: non-euclidean geometry
It's a geometric function. It finds the tangent of a small circle on a sphere using trigonometry.
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December 27th, 2016, 03:42 AM   #4
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Looks like you know what the function is
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December 27th, 2016, 03:50 AM   #5
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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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