It is indeed nature !!

 I have been advocating "Rational Number Series" for two or more years. I claimed that n/(n+1) as nature.

I have a point. In fact 3 points. First is the finite series which gives 2n/(2n+1). Second is (n^k)/((n+1)^k) as infinite series. Third is ((-1)^k)(n^k)/((n+1)^k) as infinite series. The second and third points give easily expressible numbers. See the screenshots below.

I was right in advocating and popularising n/(n+1). 

Two presentations

 I am presenting two equations below.

Hope you like them.

The sway and the three joints four fingers theory

 My three fingers and four fingers theory and its extension has given many algebraic expressions to our group of institutions.

I have another theory. And that is the sway of legs and hands. And the three joints and four fingers thing.

I equated these two. Got y as 2/((2n+1)(2n-1))

The initial results are promising. I did infinite sigma on it. Got 1.

I did infinite sigma with alternating minuses. Got pi.

I did finite sums. Got a great and easily expressible answer.

Here are the screenshots.

A few more . . .

 I am able to make expressions with lot more ease now. Below I have pasted some expressions.

I would like my readers to try out all these expressions. You may have free time too. Because of COVID-19. 

Please also consider using 'Rational Number Series' in your thoughts. (n)/(n+1) is what I mean. You may refer to my expressions too. I believe it is nature.

Try this one too

 

I am quite convinced about this combination expression that I have put. Because it was in 2010 that I made the Measuring Behavious equation. I did not know many things. I was not sure of comb(n,r). But absolutely sure of comb(2n,n). And now comb(n,1). comb(n,1) was a genuine thought inside me. I used to think why only one aspect? 

So, I can use comb(n,1).

Try this one

 You may try out the following and verify for correctness.

Have a nice day dear blog readers.

The Road Ahead

 My road ahead in mathematics is summed up in this flowchart. I shall be directing my mathematical thoughts in this fashion.

Have a nice day, dear readers.