Support needed

Agm of #PythaShastri methods result in approx values of constants.

Doubling is nature. How to use them?

Doubling numbers will double agm. What's the big deal may be said.

But you need #PythaShastri to treat doubling.

Mathematicians, you support me. I will use doubling. And together we can attempt constant values closer to actuals. 

What do you say?
(I tried working on #PythaShastri mantras, agm and doubling. Today i.e. 2020/05/23. My mathematical sense tells me that the result moved towards more precision. I tried on pi and G. I did not try golden ratio.)
(I tried working on the #PythaShastri mantra 1,2,3,7,9 and agm amd doubling and trebling. Today i.e. 2020/05/27. Gauss constant G is obtained till 10 places if mathematics of 'fun type' are used.)

It is about pi and inches to centimetres

I had uttered #PythaShastri mantra 1,2,3,4,5,9,10.
And then I claimed #PythaShastri mantra 7,8,10 is another 1,2,3,4,5,9,10.
What does the results show ?
Bull's eye.
(25*agm(9,10))/(27*agm(1,2,3,4,5)) is approximately pi.
(40*agm(10))/(17*agm(7,8)) is approximately pi.
(27/25)/(17/40) = 2.54.
Bull's eye.
#PythaShastri mantras have fetched results using agm.
#PythaShastri mantras have fetched results using infinite series.
Have a nice day !!

Approximately the golden ratio

I had uttered many #PythaShastri mantras.
One of them is also 1,2,3,4,7,8,10.
Well (40*agm(7,8,10))/(87*agm(1,2,3,4)) is 1.618 which is the golden ratio.
Golden ratio is a tough one. I believe it is the most fundamental constant. People over the world are mad after this number. I became mad after this number after reading Dan Brown novel The da vinci code.
I had 1,2,3,4,5,9,10. I decided to venture into the golden ratio.
In Ranchi I got the pentagon and an infinite series. I moved up and up using Wolfram alpha. Many expressions came up. One copyright and four papers too.
The journey continues. Nowadays it is relativity.
To think about it Newton was really great. In India it is almost Newton everywhere. Terrific effect on education by Newton. He was damn great.
But then Einstein, Planck and others gave the world new idea. Which were true. Hence the Nobel Prize.
Prof. Hardy was great. Ramanujan was good. But I never knew this. Possible dislike for Ramanujan in most parts of India.
Life moves on. They don't comment here in India. I wish someone would write 1,2,3,4,5,9,10 is not valid. Or it is blasphemy. Or something. But no one.
Anyway, have a nice day.

Another hint of Gauss's constant G

You may recall that I obtained the approximate value of Gauss's constant G. If you have missed it, then here is the link. A hint of Gauss's constant G.
I felt privileged and considered it to be great honor to have got the approximate value of Gauss's constant G.
You won't believe it !! I got another expression of the Gauss's constant G. Approximate one like the earlier "a hint of Gauss's constant G". But nevertheless as sturdy and as beautiful as the earlier one.
The expression is
agm of (7 and 9)/(5*agm(1,2 and 3)) is approximately the Gauss's constant G.
Two approximate expressions. Two healthy, sturdy, beautiful expressions.
I welcome your comments.

Two chess ideas

1. Offense opening

2. Diffident defence

Bihari babu (or) some small and some big (or) picking up tomatoes

First of all one needs to understand that fractions are most important. Right. When we pick up a tomato we do so from a lot of tomatoes.

Second is Brook Taylor showed us the importance of x, x^2, x^3 and so on. This is nature. One has to understand that. 1,2,3 and so on is not at all a fine way of looking at numbers. But x,x^2,x^3 and so on is. Fine. Let's move ahead.

Let's choose tomatoes like medium one then a larger one then one more larger and then more larger and so on.

Essentially x + x^2 + x^3 + x^4 + . . .

The result is -x/(x-1). A sort of negative results.

Here is the Wolfram snapshot.

Let's choose tomatoes like a medium then a small one then maybe another somewhat medium then a small then maybe a large then a medium and so on.

Essentially x - x^2 + x^3 - x^4 +. . .

The result is x/(x+1). A sort of positive results.

Here is the Wolfram snapshot.

Needless to say. In the second approach all the tomatoes are likely to be used. And in the first approach only the better, best gets used.

Movies watched recently

I saw the following movies :-
1. Sadgati
2. Mahanadi
3. Nizhalkuthu
No. I don't agree with Satyajit Ray. I doubt anyone or a Brahmin can be this cruel. Or a hungry laborer so bovine. I can accept the laborer not asking for food.( Read the story in youtube just now. Sadgati by Munshi Premchand. I am being unnecessarilly critical of Shri Satyajit Ray. He made as per the story only. My apologies !!)(But there are extra additions. The Brahmin's advice on remarriage is not there in original story.)
Mahanadi is a Kamalhaasan starrer movie which compels the viewer to stark realities. I wished girls were older to understand. I watched this movie for Kamalhaasan.
Nizhalkuthu was a fine movie. Full marks to Adoor Gopalakrishnan.