Latest posts tagged with #Unicity on Bluesky
#MarkovNumbers #Unicity Saturday November 15th 2025
soldier.livejournal.com/1393162.html...
YESSSSS!!!!! I am so not gonna lie; my haunted house literally solved this for me like, months ago, and literally has been trying to guide me with the weirdest shit. #MarkovNumbers #Unicity
Let a = (a'+i) and let b = (b'+j), for integers i and j. If true for a and b, and also true for a' and b', I suspect we have a major contradiction. #MarkovNumbers #Unicity
I think I just got another one finally for real. When it rains, it pours. #numbertheprimes #markovnumbers #unicity
The Mouth of the Chattering Burn, a 53 Year Old Aberlour, distilled in 1967 and nurtured in a single cask for overhalf a century. Going to be charity-auctioned in october, 2025
#aberlourwhisky #rareandfine #oneonlybottle #unicity #luxuryinvestments
Returning back to a #zeckendorf-ish angle for #MarkovNumbers #Unicity always seems to show the most promise. The distinction of that terminal repeat in the pre-Zeckendorf representation *might* be all I need.
The weird thing here is, for both the Fibonacci and the Pell #MarkovNumbers, L(') proves to be a natural factor of A+(-)B. If one could generalize how this occurs, one would have a very clean explicit expression for Markov Numbers. #Unicity
#ChebyshevPolynomials of the 2nd kind
A little (tested) progress today. Got my own explicit expressions for #PellNumbers and #FibonacciNumbers that I can use in this alternative approximation for #MarkovNumbers, but still need to justify the approximation / calculate its range of error. #Unicity
That's the final set-up. I am 100% sure it will work: the missing piece I needed before was the relative ratios. #MarkovNumbers #Unicity
Done and done. #MarkovNumbers #Unicity #ModularArithmetic #SnakeGraphs #FibonacciNumbers #Fibonacci #Markov #MarkovNumber #ohmygod
Oh my goodness this is an exciting approach. Verify that this math works out if and only if k=k'. I went back to computing #MarkovNumbers as "perfect matchings of shake graphs" using my formula, and separated summands w diff factors (modulo F(2k+2), effectively). #Unicity
Cleaned up, but I'm still not convinced of #Unicity. If replication of #MarkovNumbers happens, though, it happens at like depths into the tree, after like numbers of turns. That's really cool. Maybe I can formalize this much and submit.
#MarkovNumbers #Unicity I've actually got two half proofs now! On the left hand, you've got that the number of turns must be equal. On the right hand, you've got that the number of reflections from "1," "2," or "5" must be equal. I think I can nail this before Saturday, which is "d-day" — 42!!!
Okay. Now I think we're really getting somewhere. I decided to expand the "b" terms, to force distinction in ' vs. " vs. "' etc. for all terms. #MarkovNumbers #Unicity
Now I need to prove that if we've made an equal number of "turns," the two Markov Numbers can't be equal unless the turns were t
#MarkovNumbers #Unicity I think! Only 1.x years after I first thought I had it, lol. Just in time for my 42nd birthday!!!
Yeah. With enough clever wrangling, I reduced this ("given M_N/D and M_N'/D' are sufficiently close") to 3 > 2.618^(k-k') if they're equal. I'm not saying the proof is "in the bag," but Gawd, it's frigging close. #MarkovNumbers #Unicity
You don’t need to live on kale chips and kombucha #chronicillness #guthealth #diabetes #sugar #unicity #metabolichealth #digestion #InsulinResistance
"Infiltrating a Pyramid Scheme: #Unicity"
Always Marco
27 Jun 2025 [0:50:44]
#MLM #AntiMLM #Cult
https://s.cultpodcasts.com/VyaaXFVUg0Ge0qLPkVLpKg
3 Signs You’re NOT Food Proof (And Why It’s Not Your Fault) #unicity #FoodProof #CravingReset #FeelGreatSystem #GutBrainConnection #MetabolicFix #BloodSugarBalance #GLP1Support #YoureNotBroken
Becoming Food Proof: The Day My Cravings Lost Their Power #unicity
#FoodProof #CravingControl #FeelGreatSystem #RootCauseHealing #MetabolicFreedom #NoMoreBingeEating #InsulinResistanceHelp #GutReset
Think You Have Insulin Resistance? Here’s What to Look For #unicity #InsulinResistance #FixYourMetabolism #FatigueToFreedom #BloodSugarHelp #WeightLossJourney #FeelGreatAgain #RootCauseHealing
Insulin Resistance? It’s Not Just You Being Lazy or Old #unicity #InsulinResistance #MetabolicHealth #Prediabetes #FatigueFix #FeelGreatSystem #RootCauseHealing #BloodSugarBalance #StopTheBloat
Alright, I've got my problem set up perfectly, I think. Next I'll do the version of the Zeckendorf problem that was sent to me, then tackle this. #MarkovNumbers #Unicity
Yes!! You can always read off the "N" value based on the appearance of the representation of the #MarkovNumber M_N/D base U_n(3/2). From there, the "D" value is uniquely defined per the Numerator Conjecture (and basic obviousness). Now how do I turn this into a formal #mathematics proof?! #Unicity