November 9th, 2017, 04:08 PM  #61 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,851 Thanks: 749 Math Focus: Wibbly wobbly timeywimey stuff.  
November 9th, 2017, 04:19 PM  #62  
Math Team Joined: May 2013 From: The Astral plane Posts: 1,851 Thanks: 749 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
We don't really care about when this method was first expounded upon. That is a trivial thing. What we are interested in is the method and how and why it works. I'll say it again: You haven't shown us that you can prove your claims. That is what we are looking for. And until you do you will likely be peppered with sarcasm from members who think you are nothing but a troll. Dan  
November 12th, 2017, 01:29 PM  #63  
Member Joined: Mar 2017 From: venezuela Posts: 36 Thanks: 3  Quote:
Ok, Summarizing another one who can not show any math text since antiquity up to now  that deals with this extremely simple, trivial and powerful operation: THE ARITHMONIC MEAN which produces all those highorder iterated functions that have been unjustifiably consecrated as the exclusive Superior creation of the Superb Infinitesimal Calculus (as unjustifiably asserted in so many math booktexts and peerreview journals). Now, Who is the troll? I think that those who only ask for answers, never responding a very simple question. So, Neeext... It is good for young students to see this discussion because this is the customary grandstanding behavior of many mathEgos, firstly they make jokes, secondly they just deny and state that the thing does not work, suddenly, they realize the thing certainly "might" work so they start asking you to write a book just for them  "apparently" because they do not understand such an "extremely complicated" thing and they cannot imagine how the convergence could be ever proved !!!  (Very funny, indeed), Finally and because they certainly know the thing is certainly a trivial and an extremely powerful arithmetical operation, then they start calling you a Troll, this way they manage to kick you off the forum without having to recognize that they never see such a trivial and powerful thing in any math text since ancient times up to now. Now, based on the number of views in this thread, It is fairly clear that only two or three swollen egos are NOT the whole audience, and because I know there are many other humble people reading this, most of them being young students, I repeat again: Quote:
Quote:
Last edited by skipjack; November 12th, 2017 at 07:55 PM.  
November 12th, 2017, 04:36 PM  #64 
Math Team Joined: May 2013 From: The Astral plane Posts: 1,851 Thanks: 749 Math Focus: Wibbly wobbly timeywimey stuff. 
I tried. I really tried but your monomania is too much for me. As you said, etc. etc. I'm done. Dan 
November 19th, 2017, 08:06 AM  #65  
Member Joined: Mar 2017 From: venezuela Posts: 36 Thanks: 3  Quote:
The true is that you and the others have never seen such an extremely simple arithmetical operation that produces an uncountable number highorder rootapproximating algorithms. Worst, you have never seen a numerical example like the one shown here: A trivial arithmetical operation that produces cubic convergence rate at the first step, worst, that produces any desired rate of convergence. That's the only true, as you said, etc, etc. Of course you are done, you have nothing to say, these extremely simple and trivial high order arithmetical algorithms does not appear in any math text since antiquity up to now. that's why you are totally done ¡¡¡ However, that you and other two guys are done it really does not matter at all. What really does matter here is what young people can learn from this: If these methods would have been analyzed 3000 years ago then most likely the course of mathematics had not been finally oriented towards the infinitesimal calculus, and as a consequence nowadays we were all dealing with a very different scheme of quantity. Young student, just imagine, they spent more than 3000 years until they could finally find highorder artificial methods using geometry, cartesian system, infinitesimals, however, they certainly had at hand a trivial arithmetical tool for producing those methods, just imagine what we would have got at present if they instead had devoted all their efforts to the analysis of this general and unifying arithmetical concept: The Rational mean. You might say: probably nothing. Ok that's fine, however, here you have an open door, a new way to go. You have two options now, the red pill or the blue one, your choice All the other discussion relating huge egos from some guys in any math forums is totally irelevant here. They will never admit they have missed something. Well, young student, to their disgrace, here you have something huge they have totally missed. Again, it follows the extremely simple numerical example that does not appear in any math text since antiquity uo to now: Quote:
 
November 19th, 2017, 11:03 AM  #66 
Senior Member Joined: Sep 2015 From: USA Posts: 2,037 Thanks: 1063  
November 22nd, 2017, 07:11 PM  #67 
Senior Member Joined: Sep 2016 From: USA Posts: 413 Thanks: 227 Math Focus: Dynamical systems, analytic function theory, numerics  
November 22nd, 2017, 07:25 PM  #68 
Senior Member Joined: Sep 2015 From: USA Posts: 2,037 Thanks: 1063  

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