Whilst working with the equations for the previous post on the fusc function, I encountered one I wished to invert. That equation was essentially

but I had not noticed that this equation is special, and that the ‘2’ is significant.

Mathematics — Algorithms — Version Control

Whilst working with the equations for the previous post on the fusc function, I encountered one I wished to invert. That equation was essentially

but I had not noticed that this equation is special, and that the ‘2’ is significant.

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I recently encountered a collection of related articles regarding an amazing explicit enumeration of the non-negative rational numbers. Whilst experimenting with the mathematical constructs described, I made some discoveries of my own (which I doubt are new, but I have not found them described elsewhere).

Below, are the references and links to those articles. They’re all worth a read.