Monday, January 27, 2020

My papers in mathematics

I have got two more paper published. I am providing links of all the papers here for the benefit of my blog readers.
Expressions for 0
Expressions for 1
Expressions of Combinations
Rational Number Series

With this my dream of getting a paper published is through. There are no further topics to write about in mathematics. Maybe, I shall write on Gauss ideas and my observations. But not now. Not in near future, if at all.

Here is wishing you a pleasant day and happiness and cheer !!

Saturday, January 11, 2020

It is beautiful

I wrote there is no 2. Meaning no two things are similar.
I wrote there are two hands, two legs etc. Sort of mirror effect.
Then there is combination.
Then there is spin. In fact in our body too.  Constant e and imaginary number i.
Then when you have accepted that no two clothes are similar but you count. Due to practical necessity. 4 shirts and 3 trosers say. Your brother disturbs you and throws some pencils and ask you to count them. You have set a range of counting for clothes. Now pencils !!. Ramanujan tau functions.
(Pi involved here-->)Then a basic necessity for product of two difficult to quantify things. Conscience into quality. Is up and working. Luck into Opportunity. Is money. Ramanujan theta functions.
(Pi involved here-->)Also you are a thinker. Certain thoughts make harmony(Differentiation). But this harmony makes your leg travel or your hands to move either consciously,sub-consciouly or unconsciously covering an area(Integration).
Then you wanted to develop yourself. To build personality. You read my blogs. My mathematical theories.
Now see the below results. With Wolfram alpha.
Whether 1, n^2,n^3,n^4,n^5 . . . with comb(2n,n) the result is always a function of pi and a constant rational number. But with n and comb(2n,n) the result is something different. When yoy do multiplication n*n(n^2) or division n/n(1) pi supports. When you take only n then it does not. So beautiful !!