Friday, August 25, 2017

Continued Fractions

Continued fractions are interesting and are considered important in constants and irrational numbers.
I have a good interest in continued fractions.
Continued fractions require great imagination and arrangement thinking.
I have understood the continued fractions for root 2, root 3, phi and pi.
Khinchin constant is on continued fractions.

Sunday, August 20, 2017

Indo Asian hour glass

I had developed the equation for sa, re, ga, ma, pa, dha, ni. The equations were :-
1 + t
1 + t squared
1 + t cubed.
In a range of 1 to 10, the equations gave me the importance of numbers 2, 4, 5, 8, 9 and 10.
When we fold a paper we get 1, 2, 3, 4, 5, 9, 10. This has already been explained.
It is clear from the two sets of numbers that my timing is musical. 2 raised to the power of 1 by 12.
Hence Heegner numbers are not easy.

Friday, August 11, 2017

Heegner numbers

Heegner numbers are what I am interested in. But I plan not to go further. Because it is beyond me.
Ramanujan knew about Heegner numbers. And therefore my curiosity is a subset of his knowledge. That's the way I prefer to view my mathematical endeavours.
I have many ifs of past life. Opportunities that wasn't there. Opportunities that I just missed. But I'm confident. Just one correct friend and I can change for  better. That's the way I feel in the present.