Seonglae Cho학교에서 가르쳐주지 않는 연산
📢 Power Tower Fractal 배경화면 절찬 판매중 : https://marpple.shop/kr/dmtpark/products/16643340
【오류정정】
⎯ (18:50) 𝜋 = 3.145 ··· ➞ 𝜋 = 3.141 ···
【관련 영상】
⎯ 2=4임을 증명하는 영상 (https://youtu.be/QFg9_4sPm84?si=vHZ-BacuYpkD3OiJ)
⎯ 허수를 탑처럼 쌓으면 나타나는 놀라운 형태 (https://youtube.com/shorts/AiPeMBZbvKw?si=k3jQ7aahE-tOrC37)
⎯ 역사상 최고의 수학자도 알 수 없었던 함수 (https://youtube.com/shorts/GPe9Lt8OAdM?si=YoNOltrPAvnT87Hr)
⎯ 역사상 최고의 수학자도 풀지못한 문제 (https://youtu.be/PROONug8hCM?si=wfkJdz6V2MGRDmNh)
【관련 블로그 포스팅】
⎯ 재미있는 수학퀴즈 — Geometric Evaluation of a Limit (https://dmtpark.tistory.com/18)
⎯ infinite power tower 함수의 그래프를 그려보자 (https://dmtpark.tistory.com/19)
⎯ 2=4임을 증명해보자 (해답) (https://dmtpark.tistory.com/20)
⎯ 복소 tetration 연산이 나타내는 놀랍도록 다양한 형태, 그리고 프랙탈 (https://dmtpark.tistory.com/21)
⎯ Power Tower Fractal (https://dmtpark.tistory.com/22)
⎯ '허수의 삼중나선'에 대한 몇가지 질문 (https://dmtpark.tistory.com/23)
⎯ tetration 표현법에 대한 제안 (https://dmtpark.tistory.com/47)
⎯ 루트2의 무한층에 대한 흥미로운 성질들 (https://dmtpark.tistory.com/52)
【references】
⎯ Infinte Teteration (GeoGebra project, Simon Mullen) : https://www.geogebra.org/m/VvxMzPvD ··· 허수 z에 대한 무한 tetration이 어떻게 수렴/발산하는지, z값을 바꿔가며 관찰 할 수 있는 재미있는 프로그램입니다.
⎯ 실수 양자역학 관련 참조문헌 : ◾️ Quantum theory based on real numbers can be experimentally falsified (2022, nature, https://www.nature.com/articles/s41586-021-04160-4 ) ◾️ Ruling Out Real-Valued Standard Formalism of Quantum Theory (2022, PRL, https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.128.040403 ) ◾️ Quantum Mechanics Must Be Complex (2022, APS Physics, https://physics.aps.org/articles/v15/7 ) ◾️ Experimental Refutation of Real-Valued Quantum Mechanics under Strict Locality Conditions (2022, PRL, https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.129.140401 )
⎯ Extension of tetration to real and complex heights (2021, Takeji Ueda, https://arxiv.org/abs/2105.00247 ) ··· 이는 심사를 거쳐 학술저널에 게제된 논문은 아니지만, ‘층’의 자리를 실수나 복소수 까지 확장시키는 작업이 현재진행형이란걸 보여줍니다.
⎯ 우주상수문제 : https://en.wikipedia.org/wiki/Cosmological_constant_problem
⎯ Leonard Susskind - Is the Universe Fine-Tuned for Life and Mind? (https://youtu.be/2cT4zZIHR3s?si=ringJXRAn0ah1JO-)
#mytetration
https://www.youtube.com/watch?v=mIxrcXrrxAI
Tetration
In mathematics, tetration is an operation based on iterated, or repeated, exponentiation. There is no standard notation for tetration, though Knuth's up arrow notation and the left-exponent xb are common.
https://en.wikipedia.org/wiki/Tetration
5½ Hour Epic Mandelbrot Fractal Zoom
Sit back and enjoy the journey!
Only 1440p but it still took quite some time to render this on my poor antiquated cpu.
Zoom factor: 4x10^1477 (4E1477)
Calculation time for the 4900 image frames: 3 or 4 days (lost count somewhere)
Rendering the raw video: 36 hours
Rendering the edited video: 23 hours
Location:
Re:
-1.14167380492133391769429957217188052210863399000318733745976432957715303708678005541164658565029833861051200652937932104019159913290875547981298684653675032576580619979494017653766951060191404349955437835814258698814457034066233581100062917938736220382714749418922690649623543602014589136119527979898502668198323747484993342241344295271854680589790543475293454617044414294900948441987720017718853810074278309416086319912019829165542144960989917421159524601406626423270711902433868816794024751275493062995562741815193043422547667500483882456944283398912163197842516247328679416780602920845664352381865645368855845941806417650320378827318476895791327389924563286324629692081932788319676941928615738564671832599583146007096199528699388547640738359822592835409508022787653081856537267063836424907657647443632573349357176042488548670231860504702341591543553416052027502078946145157884667099886042603120621253170121622789112249064172536696920955885528302632421576115214210901640359976269191039524232350646994453934200415603859205263305634669239218284715349048345963294920025232519411969453379770158789084905820674286802497760665895343164007182437427745143124917341110962740480736498038681996520206029816074115810611709733941429989332442392900010647940313690857381792169645418448286104795687338815070177201126865669405389613277629131108347500415607803851978939510207854262082185639370865788064788100254695648106527965502249302457074432160210220741811468550946017262368777673094554755662714542819176514363526655000289
Im:
0.28147934251609103424676228630479245484487156021554951021310982406294273623137935177288671464645554503396983749891437800894376396576851064090924540439583549259884007389143653707488034761309270546133742997836495701736547390718774009448263127423618574458169170937203564755295193283139827615346704549873884882413604130327173283319522103744996456233392125043019099896969787433171736360447157746654564710740685390942332000493430689786122341137056951310539792954547797331765871247161086237601712432434188449144108535616543353225024207245072278286276844130649477750199582994602567836353248949259770531874515158977506903100528466955991898226183808786224569909625731039182566779093721194665131192471996099453149110149914503402051705409469695358850384613566434794891739680012261968850243752323192484211343853555108228873222562752017377170439340921963197082890092942193836088306916448212445000006559882114612485566517077440676824266416330788329639306526968650445789869452525288384846281832422838247230056155942280096064641117950427530731439119595750006434403811552534507274850680350502446093026811031425691062042921386493467366032822389612059265480033292238743118332801927996473012716170718602275944171289259223226061290938068418858021284850537133250849719930697989646049991052637449149907012592721836142414330446565631485896733118028961917805179900711574737081702087837601242310833925510212569852612264458857021288011659767222139486925247580404260551433983146808367621615512018376657705545332609446662966555265973000083
Software: Kalle's Fraktaler http://www.chillheimer.de/kallesfraktaler/
https://www.youtube.com/watch?v=Q5eRDR7oonY
