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#TreeTJ #MarkovNumbers #Unicity

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#TreeTJ #MarkovNumbers #Unicity

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#TreeTJ #MarkovNumbers #Unicity

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#TreeTJ #MarkovNumbers #Unicity

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#MARKOVNUMBERS #UNICITY SATURDAY NOVEMBER 15TH I FORGOT TO POST HERE AFTER POSTING TO LINKEDIN, INS The problem was that I can't post images here. Those posts were simpler to perform in that they were image posts of screenshots of the text. Here I have to make a text-only post. The reason is that fo...

#MarkovNumbers #Unicity Saturday November 15th 2025

soldier.livejournal.com/1393162.html...

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#chatgpt approved finally (circa 9 hours ago): #MarkovNumbers #Unicity

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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

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#MarkovNumbers #Unicity (hint: "42")

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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

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I think I just got another one finally for real. When it rains, it pours. #numbertheprimes #markovnumbers #unicity

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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

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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.

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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

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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

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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

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Done and done. #MarkovNumbers #Unicity #ModularArithmetic #SnakeGraphs #FibonacciNumbers #Fibonacci #Markov #MarkovNumber #ohmygod

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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

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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.

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#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!!!

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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

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#MarkovNumbers #Unicity I think! Only 1.x years after I first thought I had it, lol. Just in time for my 42nd birthday!!!

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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

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You don’t need to live on kale chips and kombucha #chronicillness #guthealth #diabetes #sugar #unicity #metabolichealth #digestion #InsulinResistance

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Infiltrating A Pyramid Scheme: Unicity
Infiltrating A Pyramid Scheme: Unicity #unicity #antimlm #thailand Support The Fight 🔺 PATREON: https://www.patreon.com/alwaysmarco PayPal: alwaysmarcomgmt@gmail.com MERCH: https://alwaysmarcomerch.com/ CONNECT: https://www.instagram.com/alwaysmarco/ https://www.instagram.com/franslundqvist/ https://www.instagram.com/fidelcashtroo/ DISCORD: https://discord.gg/mFa37aVG7g FTC REPORT FRAUD: https://reportfraud.ftc.gov/ Competition Bureau Complaint Form: https://competition-bureau.canada.ca/en/contact-competition-bureau-canada/complaint-form THANK YOU TO MY PATRONS/MEMBERS Julie Anderson / Bails / Julien / James Chen / Kyle Hebert / Lyndsey Lou / Michelle Scott / Legend Gaming / Baddog Sports / BAM / BewareTheLilyofTheValley / Brian Vaz / Cal B Cool / D Crispy / Dani / Dillon Forsberg / Elizabeth Sahu / Erika Molina / Fredy / Jennifer Rajala / Jorge Alzaman / Jose Cabuco / Josephine Henry / Konrad S / Leon Stearns / M Dub / Matthew / Phillip Schmidt / Psylocke / Rheine Nguyen / Bojambo / Alexander FPV / Geldimort / xgnzalz / alousiemak / DG / JonGGG / Katie Matthews 0:00 - Intro 0:26 - The Plan 2:15 - The Infiltration 6:41 - Rav Malik 7:43 - Feel Great System 10:47 - Weasel Words 12:27 - Claims VS Reality 15:28 - The Diamond Life 21:59 - Bikram Dosanjh 25:33 - Digital Franchise 32:12 - Stewart Hughes 44:07 - Drink The Kool-Aid 46:21 - Aftermath 48:25 - Definitely Not A Pyramid Scheme 49:25 - One More Thing... unicity antimlm multilevelmarketing multilevelmisery coffeezilla james jani scam exposed cult law of attraction the secret scam scheme unicity feel great system rav malik stewart hughes bikram dosanjh bangkok thailand

"Infiltrating a Pyramid Scheme: #Unicity"
Always Marco
27 Jun 2025 [0:50:44]
#MLM #AntiMLM #Cult
https://s.cultpodcasts.com/VyaaXFVUg0Ge0qLPkVLpKg

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3 Signs You’re NOT Food Proof (And Why It’s Not Your Fault) #unicity #FoodProof #CravingReset #FeelGreatSystem #GutBrainConnection #MetabolicFix #BloodSugarBalance #GLP1Support #YoureNotBroken

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Becoming Food Proof: The Day My Cravings Lost Their Power #unicity
#FoodProof #CravingControl #FeelGreatSystem #RootCauseHealing #MetabolicFreedom #NoMoreBingeEating #InsulinResistanceHelp #GutReset

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Think You Have Insulin Resistance? Here’s What to Look For #unicity #InsulinResistance #FixYourMetabolism #FatigueToFreedom #BloodSugarHelp #WeightLossJourney #FeelGreatAgain #RootCauseHealing

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Insulin Resistance? It’s Not Just You Being Lazy or Old #unicity #InsulinResistance #MetabolicHealth #Prediabetes #FatigueFix #FeelGreatSystem #RootCauseHealing #BloodSugarBalance #StopTheBloat

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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

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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

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