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October 16th, 2015, 03:28 AM   #11
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Cepynsky?
The closest I came is 'Sierpinsky numbers'.
If that's not what you're looking for then I
don't know! ¶(:¿)-\]¬/
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October 16th, 2015, 04:27 AM   #12
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I hope this will also push to be more flexible on my summation notation, or if will be possible ask upstrais to create a more flexible symbol for that kind of sum...
Why? I think my post above is far more understandable than your initial thread in this post, and it doesn't need any special notation. I have yet to see any interesting mathematics come out of your symbolism, just routine symbol-pushing algebra.

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Lot is well clear in my head now, but how to explain if I have no symbol and I have all the time to re-translate to old Summation symbol ?
That's exactly what I recommend: use standard notation so more people can understand and comment on your work. I think that you will find that it clarifies your thoughts to go through this process, and that it would improve your work even if you didn't show it to anyone.

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With my notation is well clear who did what... while once you put all in a standard sum it becomes very hard to immagine why it happen and works...
I don't think that is the problem at all. But why speculate when you could test? Write up one of your findings both ways and present them and see which people prefer.

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upstrairs mathematician
I don't know what you mean by that expression, by the way.

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Here 2 of the possible solutions (there are just few finite possible case)
Nothing in those pictures makes sense to me.
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October 16th, 2015, 04:38 AM   #13
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Nothing in those pictures makes sense to me.
I represent powers as linearized sum, so sum of (2x-1) or K(2x-1) terms, then I discover that Beal solutions comes when the area bellow the gnomons roof are equals... so there is one more equation to solve it.

For the rest, no way...

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October 16th, 2015, 04:49 AM   #14
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I heard about Sierpinsky numbers will generate a sort of elimination, but I don't know nothing more, so since they comes from the binomial develope I'm interested to learn more...

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Stefano
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October 16th, 2015, 08:21 PM   #15
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Originally Posted by complicatemodulus View Post
I represent powers as linearized sum, so sum of (2x-1) or K(2x-1) terms, then I discover that Beal solutions comes when the area bellow the gnomons roof are equals... so there is one more equation to solve it.
I was hoping for something more specific.
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October 16th, 2015, 09:40 PM   #16
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Yes, sorry I know.

But we already discuss this in another topic here.

I know it's time to start again from the beginning of my work, clean all, and present it in somethink of serious, ...but it will be an unbelievable work... without fun... and probably will be better that all this will finish bellow the leg of a gammy table ...for several hundred years...

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October 27th, 2015, 09:51 AM   #17
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Here other 2 magic cancellations...






...still no interest on ???
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October 27th, 2015, 11:55 AM   #18
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I don't think anyone can follow what you're hinting at. It's possible that you have something interesting to share but if you can't communicate it I'm afraid you won't get much feedback.
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October 27th, 2015, 09:26 PM   #19
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Thanks, but I well know that when you are searching for somethink of new... you are like an astronaut in an empty space... Nobody wanna spend energy to be (really) there.

I don't wait for someone that sentence I'm right, I'm looking for right, still if I'm not sure I'm on the right way...

But time will always give reason to good works...

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November 2nd, 2015, 05:22 AM   #20
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Thanks to agentredlum,

He confirm me I'm not crazy, and I just discover hot water (but somethink of my work is not waste time since I don't refuse infimus or analisys as completion of the rational calculus...)

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Stefano

******************

Do you know about NJ Wildberger of UNSW? He has some 'non mainstream' opinions about the so called 'irrationals' and the foundations of mathematics.





https://en.m.wikipedia.org/wiki/Rational_trigonometry


I don't agree with some of his opinions but he raises interesting questions as far as I can tell.



******************
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