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Dec 27, 2024 09:52

I think this game is just about over, and the big winner has my initials. #sine and #cosine of the #logarithm of #markovnumbers in order appear to oscillate with perfectly level routine. I'll have to derive how #hyperbolicsine and #hyperboliccosine relate to sin and cosine of ln. #markovnumbers #unicity #chebyshev

Like I could pretty much just read off Markov Numbers by the billions for you, simply building basic functions from this simple trend. But I still have to prove why it happens. That's not necessarily going to be easy. I might start with showing what happens along each branch - that I already understand pretty well - and then graduate to showing how the branches inter-weave to flush out the oscillation, and I can already envision that.

https://x.com/webystar/status/1872660945694028007?s=46&t=ePnL5t1Ja25vBxUzfsEkkg

#cosine, #logarithm, #unicity, #chebyshev, #markovnumbers, #hyperbolicsine, #hyperboliccosine, #sine

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