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#proof

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inspired by tavis' deep field #nebulabrot #DeepZoom images on #fractal #fractals forums, I did a little shader that for each c in the complement of the #MandelbrotSet M, colours according to how often z <- z^2 + c hits a given small target disc , weighted by derivative (as a proxy for point density).

it looks as though the hit sources are distributed everywhere near the boundary of M, which i think i can prove for target discs outside a sufficiently large esape circle, but i'm not sure how for discs nearer M. intuitively, by the time any cell pair in binary decomposition of exterior escapes, it covers an annulus with radii R, R^2, so any disc outside R will be hit by some region in every cell pair.

#math#maths#proof
Replied in thread

#arMay day seven
Favourite magazine shoot?

I've not been a fan long enough to have extensive knowledge of this. And I was going to "pass" when this image #Jimin #Weverse #Proof 2022 GOT STUCK IN MY HEAD so I'm sharing, going off to work, and might reread these interviews if it's quiet this morning

magazine.weverse.io/article/vi

magazine.weverse.ioJimin: “I want to be better, and cooler” - Weverse MagazineJimin: “I want to be better, and cooler” - Weverse Magazine

5-year investigation into "Havana Syndrome" mystery confirms what we already suspected:

#Russia n intelligence using a new weapon to cause permanent neurological damage to high-ranking #US #intelligence /law enforcement officials ...*AND CLOSE FAMILY MEMBERS.* IN USA.

Not a conspiracy theory. Hard reporting from #60Minutes, #DerSpiegel, #Inside magazine.

We ARE at war. And losing.

youtu.be/JdPSD1SUYCY?si=aUthhq

#Putin #HavanaSyndrome #UKRAINE #proof @uspolitics @geopolitics @ukraineinvasion

Cambarus tartarus, the Oklahoma cave crayfish. This was a great find last week. Someone had just asked Danté if they were ever found out of water like some other species (it's common to move between pools and such), and the answer was 'nope, not that is known of'. About an hour later, and ta-da! This one was like, "I exist to prove we can!"

A review of V1 of the paper "On the Infinitude of Twin Primes" by Dr. Ryan Matthew Thurman ( @rythur ).
Shared in one of his posts under the url ef.msp.org/articles/uploads/an

#TwinPrimes #Primes #NumberTheory
#TwinPrimeConjecture #UnsolvedProblem #Proof #SolvedProblem
#Simple #Insightful #PrimeClockMethod #Modulo
#Puzzle #GameLike #Thrilled #Captivating #Excitement #Reading #ReadingRecommendation

My background for this review: a layman person without any #degree, with very weak #Math interest (I knew what were prime numbers but never heard of the twin prime conjecture) and lack of math background except for what is taught in high school and the occasional math that pop here and there from my adjacent interests in the process of thinking of process both formal and informally (mainly from #lisp lore for the #ComputerScience side and #Hegel lore for the #Philosophy side of the story)

And now, only after almost 1 month since I have read it, will I review this paper (flushed face 😳).

A paper of 10 pages of content.
The paper is very pleasant and simple to read. Managing to catch our attention and make us read it in one sitting with a child-like excitement and joy. So if you have tendencies to leave things half-done, do not fear, you will get drawn into finishing it without having to fight a moment of boringness.

1/3

Implementation of the Bellman's rule "What I tell you three times is true" (from Lewis Carroll's "The Hunting of the Snark", 1876). The #Haskell code is here: snrk.de/truth-isnt-truth/

This is a great tool for fact checking.
This is a great tool for fact checking.
This is a great tool for fact checking.

#TheHuntingOfTheSnark, #LewisCarroll, #WhatITellYouThreeTimesIsTrue, #BellmansRule, #thrice, #threeTimes, #truth, #facts, #assertion, #assertiveness, #proof, #FactChecking