News for the golden ratio number and completely new mathematical equations

Автор темы sergeyklykov 
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27.06.2020 18:03
News for the golden ratio number and completely new mathematical equations
Dear colleagues,

Are you interested in obtaining completely new information about the golden ratio and new equations of completely unknown types, which are associated with the golden ratio? Then you should read this article:

https://www.worldscientific.com/doi/abs/10.1142/S1793524520500199

I want to make a little warning about this article. The fact is that I was deciding some natural tasks that were associated with the fermentation processes. This is what can scare you away, because You may be not a pure mathematician, as I understand it, but, you should not stop yourself for this reason ...

I was solving my problem and I noticed that my solution requires a few modified mathematics. I had to use hyperbolic functions. As a result, I got interesting patterns and the need to use the number "golden section".

But, this is not the main thing. The main thing lies at the end of the article: this is the system of equations (140) - (143), which was not previously absolutely known. I think this can be a union of the well-known theorems of Pythagoras and Fermat, or even something more!

“ …The final Equation with decomposing of square root degrees for difference between the constants Xp and XLim

was obtained after necessary algebraic contractions and permutations of all multipliers and terms:

(Xp-XLim)^0.5= (ε/γ)^0.5[Xp^0.5 Φ^0.5 –φ^0.5(XLimγ)^0.5], (140),

where are γ= XLim /(XLim)0 , (141),

and ε=Φγ-φ*(γ^2), (142).

{ Xp=(Φ^2)*(XLim)0, Φ=1,6180339…, φ=0,6180339…}

The Equation (141) can be rewritten for any degrees, 'n', using the Lemma 1:

(Xp-XLim)^(1/n)= (ε/γ)^(1/n)[Xp^(1/n) Φ^((n-1)/n) – φ^((n-1)/n) (XLim/γ)^(1/n)], (143).

Table 1(Please, see the Article) shows the results of calculating square and cubic roots from the difference of random sets of numbers, which were calculated by the usual method on the calculator and according to the Equations (140) and (142) presented above. ..."

But, I am sure, that success cannot be stopped if the movement is picked up by a professional community of mathematicians and specialists in the field of modeling. You should have full confidence that personally you can be the person who will move the indicated problems further ..

I will not dwell on all these details, for the reason that it is better to see once

than hear a hundred times.I wish you a pleasant reading and look forward to your comments.
If you have your questions, I ask you to write to my email id smlk03@mail.ru

Greetings,

Sergey Klykov, PhD



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