Many constants and irrational numbers are nature driven. They exist in nature. Root 2, Root 3, e, Pi, Phi and Gamma. And of course Feigenbaum Constants. Then there is Kinchin constant as well. These are all naturally existing constants. And maybe more.
These constants are beneficial to humankind as they promote healthy life.
Then there are constants like Ramanujan-Landau constant which are deduced constants. Genius mindsets see patterns and deduce interpretations.
Then there are material constants like Avagadro number, Planc's constant etc.
Then of course there are principles like Pareto Principle which is 80:20. These are the most beautiful and practical of all the above.
These constants are beneficial to humankind as they promote healthy life.
Then there are constants like Ramanujan-Landau constant which are deduced constants. Genius mindsets see patterns and deduce interpretations.
Then there are material constants like Avagadro number, Planc's constant etc.
Then of course there are principles like Pareto Principle which is 80:20. These are the most beautiful and practical of all the above.
Count of primes by count of non primes would lead to 10 is highly divergent. Divergent series are automatically rejected by mathematicians.
ReplyDeleteRamanujan had the fastest convergent series for pi.
ReplyDeleteOne of the fastest.
ReplyDeleteI have controlled methods.
ReplyDeleteIt will be apt to say that small prime number divided by large prime number leads to decimal system.
ReplyDeleteSuch an expression exists in books.
A number by the next number is a Reimann Zeta function. This I have it. Something like 11/12. But 11/13?
ReplyDeleteIn fact you multiply Reimann zeta function for 11/12 with 12/13 you get 11/13. This is Dirichlet conditions.
The lesson I have learnt is I may have an equation. But representing one way will lead to divergence and automatic rejection. Representing upside down and simplifying does not explain anything concrete. Only known stuff.
There is nothing new in what I know.
I do not have beauty of an expression.
ReplyDeleteAn Euler statement or a trigonometry this by that and that by this sorts.
In fact Euler said 1 + 2 + 3 + 4 + . . . . . . will lead to -1/12.
ReplyDeleteRamanujan could not explain in full. Only partially.
Shifting done to obtain this.
ReplyDelete1+ 2 + 3 + 4 + 5 + . . . . . . .
0+ 1 + 2 + 3 + 4 + 5 + . . . . . .
Timing involved. How?
Shift Registers, Adders, AND, NOT etc. I am good here.
You have fingers because of gaps. Is it not?
ReplyDelete1+2+3+4+5+. . .
is actually, in finger terms
1+0+2+0+3+0+4+0+5.
Now what will you get
0+1+0+2+0+4+0+5+0
Adding will give you twice. Subtracting will give you zero.
So, humans cannot shift.
Both hands are different is human.
ReplyDelete1+0+2+0+3+0+4+0+5+0
1+2+3+4+5
This will lead to negative numbers.
And that is how it is.
"The road to reality" is the book for guidance. For me.
ReplyDelete