Hyperbolic and is the relative deviation between cosh^2 and snnch^2
They also rotate, one end of the knot find the pother. The rotation operate is a squeezer, it squeeze sinh and expands cosh to create a rotation in angle to another spot on the hyperbola. Ant the hyperbolic angle is scaled.
Those rates count x,y on the \hyperbola with different, but sequential angles which roll over. They inversely count the resolution error on each axis. That resolution error should count as hyperbolic angle. x is the number of position points occupied along one angle group, and so forth. X then covers one rotation about its error group, and so one. xyz are the total accumulated errors when all have independently counter their error group. allong the hyperbola, now a 3D closed shell we will see discrete hyperbolic angles which are in fact units of resolution.
x,y,z are deviations counts and each has an associated hyperbolic angle sequence, and hyperbolic angle is resolution. It i just like a finite element computer geek, marking this error surface so deviation counts are in integer, and they sequential count but produce the finite element size for that region, keeping the accumulated with bounds.
So, yes, there is a disputed theorem relating hyperbolic to Markov, I think it true. The key is to introduce resolution and show it equivalent to angle. Solve another whole class of problems concerning round off error in 3D systems.
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