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 Mizugadro, pentation, Book tommy1729 Ultimate Fellow Posts: 1,370 Threads: 335 Joined: Feb 2009 01/12/2015, 12:06 AM (This post was last modified: 01/12/2015, 12:09 AM by tommy1729.) (01/11/2015, 06:05 AM)Kouznetsov Wrote: Happy year 2015! I have several news.Same to you. Nice to have you back here. Quote:1. I could not recover my previous institute site at tori.ils.uec.ac.jp But now I have clone at http://mizugadro.mydns.jp/t Is it seen from other countries? I have trouble with all links that start with " mizugadro " . But not Always ? A restart (F5) or restart the computer helps. Maybe its my safety settings or so ... Quote:2. I have constructed the natural pentation (superfunction of tetration): http://mizugadro.mydns.jp/t/index.php/Pentation http://article.sciencepublishinggroup.co...306.14.pdf http://www.ils.uec.ac.jp/~dima/PAPERS/2014acker.pdf http://mizugadro.mydns.jp/PAPERS/2014acker.pdf D.Kouznetsov. Evaluation of holomorphic ackermanns. Applied and Computational Mathematics. Vol. 3, No. 6, 2014, pp. 307-314. $u+{\rm i} v={\rm pen}(x+{\rm i} y)$ ${\rm tet}({\rm pen}(z))={\rm pen}(z+1)$ ${\rm pen}(0)=1$ Im still reading those. From an academic / career viewpoint these may be good papers. But I feel the lack of complete explaination and motivation , at least in what I read -at first sight -. For instance many methods of computation depend on a good " guess " ( I wonder if things can start from the " fake functions " but thats going offtopic ) and then I see things such as (say) f(z) = 1.23515 log(d). So natural questions are : what is 1.23515 ? Does it has a closed form ? How was it computed ? Do you mean 1.23515... ? What is the property of this number ; does the iteration only work if 1.23515 log(d) < f(z) < 1.23516 log(d) ? How did you find that solution ? Does the iterate then work for all initial values of z , or do we have a fractal zone where it works ? Are you talking about bases smaller then eta only in your formula ? Cant we just rewrite 1.23515 by 1.2 and get the same result ? *** I prefer color wheel graphs ... *** Quote:3. I have Book about Superfunctions in Russian: http://mizugadro.mydns.jp/t/index.php/Суперфункции https://www.morebooks.de/store/ru/book/С...59-56202-0 http://www.ils.uec.ac.jp/~dima/BOOK/202.pdf http://mizugadro.mydns.jp/BOOK/202.pd I am working on the English version and I hope to finish it this year. If Henryk submits, en fin, our review article "Bunch", I shall be glad to cite it. 4. I need someone to criticise my activity. So, the feedback should be greatly appreciated. I hope my criticism does not upset you. At first sight it seems you have 2 topics : pentation " Tania functions " For pentation see the comment above + Why the focus on L and exp(kz) ? I do not know much about Tania functions or the related physics , but I like the idea of naming functions after girls ?? Tania seems like a sister of Lambert. Apart from the physics and the identity in the table , does Tania serve another purpose ? MAYBE you said this before but why did you choose - assuming choice !? - pentation to be periodic ? Welcome back regards tommy1729 « Next Oldest | Next Newest »