Tuesday, March 20, 2018

The right way to meditate

Closing your eyes and opening them while uttering repetitive prayers is possibly the peak in meditative practice.
I challenge that breath control meditations can be that effective.
I do sandhyavandanam every day. The gayatri mantra part is done by coordinating eye closing and opening. One gayatri mantra with eyes open. The second one with eyes closed. The third with eyes open. I do 54 gayatri mantra japa. By 40, I reach blissed state.
Not so religious guys can try this.

Monday, March 19, 2018

Develop your own logic

Madhava of Sangamagrama gave
Pi/4 = 1 - 1/3 + 1/5 - 1/7 . . . .
This is accurate.
However 1/2 is missing.
If you gradually develop reasons and mathematical expressions for 1/2 missing; then you can reach pi/4 quickly.
This finishes pi topic.

Saturday, March 17, 2018

Zero laziness

Zero laziness is an objective we must practise.
It's a trait with a few.
How is it possible?
By refusing some of the work. But doing others without laziness.
Some can walk the whole day.
Some can clean the whole day.

Friday, March 16, 2018

Homage to Ramanujan

I have considered e^(√7) series. The fourth term will be 49.
The fourth term in ((n-1)!)^(n-1) is 2^2. 4. 49/4 is the resonance I seek.  Which is 48+1/4. I make it in n terms. (12^n+1)/2^n. I write this instead of n. (I realize there are some mistakes here !!).
Anyway, I get 13.92 very early from 5th term onwards.
Now, I multiply by 4000√14/(3683x18). This gives me 3.14.

Ramanujan must have been a master in all these, I think. Amazing feel for integers and squaring, cubing etc. as sums. A thorough genius, unbeaten. Still unbeaten. A challenge !! 

4000√14/(3683x18) is my intelligence. And my level of seeing numbers. Using calculators, of course. I have a passion for √2 and √3. 

Wednesday, March 14, 2018

Expressions for Pi

What are the different types of expressions of Pi?

  1. As a series of rational numbers. Progressing ahead in a logical way.  pi/4 =1 -1/3+1/5-1/7+1/9 . . . . These are slow. A value of pi to 1000 places may take a day, let's say in a software. These are of complex nature of our experience of numbers. You may recall that -1 is i squared. Also possibly the 90 degree 1/2,1/4, 1/6 etc. are eaten up. Or you may think when 1 and 3 are there why should I think of 2. It is intended. A complex thought !!
  2. As a series of factorials. pi/2 = (n!)/(2n+1)!!( Double factorial is different. n!! is not same as (n!)! Double factorial is multiplying the even numbers or the odd numbers as the case maybe.)  This is fast and efficient for pi calculations. A value of pi to 1000 places may take 5 minutes in software.
  3. As s(n).(An+B/C^n) series. This was pioneered by Ramanujan. And the fastest and most efficient. I am not clear here. Ramanujan was a genius here and his notes are confusing.
Why should I express pi?
  • Because it is nature
  • Because I am naturally affected by this.
  • Because it suits my thinking

#PythaShastri and young Indians

I am nearing 50 and expect young Indians to be smart, good and active. I have been influenced by constant pi from young age and now I can categorically state personality requirements which are mathematically supported:
1. Be extroverted in talks
2. Measure behaviour of people around.
3. If behaviour is not good then don't work for them. If you are in a situation where you have to work for them then use jugaad clauses and ways.
4. Do honest work in Sun fashion. Karma talks of Krishna god to Arjuna.
5. Two types of work you need to do. One jugaad  type for measured impossible guys and other honest work for yourself and family and god.
I am talking of work. Finances are tough. Maybe if you satisfy the financers with all the holes in your body you may get money. This is about bargaining. Or how you pattaufy the opposite sex. These are of finances. The bargaining and impressing.
But work is different. And should follow nature's plan.

Monday, March 12, 2018

#PythaShastri final formula for pi

It is important to have your own way.
The expression based on extroverted and work was simplified by me now to ((n^(n/24)/((n!)^(n-1)). It gives pi by to 0.99 range. Hence I shall divide with another thread of process(computer jargon!!) of sigma 1/(2^n). Which should give me approximately 1.
Pi by 2 is 1.5707963268