Numbers Mathematics II

De Moivre is the king in these mathematics.

Numbers Mathematics

Vilvam tree

Vilvam tree has been associated with Sivaratri for ages. It is called bael tree in Hindi. Sivaratri is Maha- Shivratri in Hindi.

The leaves of this tree is fascinating and a typical twig has a leaf at the end and two leaves in the lower part. There are many twigs in a branch. The best way to represent this would be 1/2. But as leaves are at different heights, a better way to represent the leaves of a Vilvam tree would be a continued fraction.

The continued fraction is (1,1,2,1,2,1,2,1 . . . . . .)[Please see, study and learn continued fractions].

This is nothing but √2. Amazing !! Isn't it ?

The greatest ever, the best so far and the magnificent √2 is represented by Vilvam tree.

The tree teaches us many things. Firstly, the importance of continued fractions. How to represent? No point in counting leaves or height of tree. Just do this representation and you get a beautiful reply to a beautiful question. And both of them are questions. And both are answers.

If an enterprising man uses intelligence he can easily make 100 rupees per customer. 50 rupees for bael juice and 50 rupees for √2. Not a bad deal. 2000 rupees in a summer day(bael juice can be had only in summer).

Irrational numbers

I am able to frame irrational numbers in terms of series but only to 2 decimal places accuracy. I think I have understood the reason. But I don't know how to correct.
Japanese scientists have got these correct to 20000 or more places.
It is like saying the missile will hit Tamil Nadu. Or missile will hit Pondicherry.

New Exercises Regimen

I have excluded the 10 kg pair dumbbells. Instead I do free body exercises. The exercises that I do are:-
1. Squats
2. Push-ups
3. Leg Raises

Three sets of the above. Once in the morning. In the evening a 20 minute walk.

The motivation factor is the equation 72 / 60 = √3 / √2. This equation is driving me and I am confident of leading a body-builder life of my own. No gurus or coaches or equipment or supplements. No gym too

#PythaShastri and Basel problem

I will write on some mathematics ideas. Basel Problem. I have found out solution angles to it.
I shall write about it.
The Basel problem was; what is
1+1/2²+1/3²+1/4²+ . . . . .  equal to.
1/2² is 1²/2² , 1²/3² and so on. These are nothing but angles in a semicircle. Have you understood this point. i.e tan²theta.
So, therefore, pi squared term is really there. Because pi is circumference by diameter. Circle is a truth.
Now, I wrote about doubling and 1/4th stuff earlier.
1+1/4*2²+1/3²+1/4*4²+1/5²+ . . . . . .  equals pi by √6 (not correct! Maybe rounding off! Maybe not!! Maybe desktop of 50 crores! Maybe not!) in the above equation.
This equation when squared(yes !!) is the Basel problem equation.
This means,
1+1/2²+1/3²+1/4²+ . . . . .  equal to pi squared by 6.
(No 50 crores desktop needed. Recursive functions should be sufficient., I guess. I am a one line C program writer.)
Yoo !! Hoo !! I have understood why these things happen. Whether correct or not correct. It seems correct to some extent. But not fully. I need money to explain this. Rs.10 crores and I am yours and my explanations too.
Reason is 4/5 -3/4 is the Riemann Zeta function. And . . . . . . . . . . 4/5 and 3/4 are so close. Did you get it ?
If I keep the (n³+1)th term as negative then the result of above is indeed pi by √6. i.e 9th term, 28th term etc.
Similarly, in the series,
1+1/2+1/3+1/4+1/5+ . . . . . . dividing by 2 and subtracting at (n²+1)th place gives √6.
This finishes the topic.

About Mock Theta

90 degrees or pi by 2 is mock theta as well. A big statement from a small man.
When I got to get an opportunity to work in Quality, I thought in the art versus science angle. I saw the name of a country in the ISO standards book and I got into motivated drive. Switzerland it was. I thought about spin and complex numbers and attacked the subject.
I was also upset with the Personnel system of SAIL and its attack on the weaker sex. Men!!
I thought about quality and about gender issues in SAIL.
I thought of conscience and to me conscience and quality had a relationship.
What it was? I pondered and their product seemed to be like power factor thing.
Then it made sense. Conscience and Quality are perpendicular to each other.
And a man and woman relationship too is. Then I began to look at SAIL personnel system and concluded that personnel and administration should be separated for betterment of SAIL.
And mock theta is here . . .

Magic Squares

The above is the childhood game taught by my cousin in my village. She explained the significance of the squares. Whether you read the letters horizontally from left to right or vertically from top to bottom it will read the same. "sivaji vayile jilebi"; which means "in the mouth of sivaji there is a sweet meat". This is Tamil.

Then there is another simple one. "siva vasi"which means "play an instrument siva".

I have realised that names in Tamil are good for these squares. "Selvarasa","Muruga","Saravana","Ramanuja","Rangaraja" or "Mahadeva".Most of the names have a n or j in the end but possibly these are influences of religion in Tamil Nadu, possibly.  Or maybe any other anthropological reason.

Glycol

Glycol is neither fat nor glucose. It is in between.
What happens when you exercise vigorously? You use glucose in muscles. Then glycol. Then fat. This is the secret to fat loss. Nothing beyond this.
If you do not have glucose. Muscles will breakdown. The process of fat to glycol and glycol to glucose has to be very efficient.
A glass of warm lemon juice with honey helps just that.
But as obese men we need to convert fat to glycol fast. Shortcut would be enzymes. Discover an enzyme which aids in fat to glycol conversion. Eat that and exercise.
Best option is develop feel for glycol.

Quality Posters

These Quality Posters have been made by me.  I hope you like them.

My Road Ahead

1. Better Cauchy Reimann internalising
2. Better Fourier Series internalising
3. Space Laws learning endeavours especially Cycles of Time
4. Ramayana Technical Management Lessons endeavour
5. Mahabharata Scientific Management Lessons endeavour
6. Matrix and Magic Squares technology

Sandhyavandhanam

Sandhyavandhanam is a set of prayers done by a brahmin ( a caste in India).
I am more modern and do exercises. But as I have time to spare, I have included Sandhyavandanam too in my daily routine.

My daily routine consists of dumbbells exercises and sandhyavandhanam in the mornings. I do not have time to spare in the afternoon and evenings.
I remember the prayers and procedures.

Why India fails ? (#PythaShastri Mathematical Explanation)

There are mathematicians. In India. There were Aryabhatta, Bhaskara and others. Then there were Madhava of Sangamagrama and Ramanujan.

First things first. Why this grouping? It is because of complex numbers. The spin. The halving and doubling phenomenon. Something similar to cell division and growth.

We need to halve. We need to double. This is the way of life. This is what we need to follow.

We need to cut greed. We need to produce more milk. (Halve. And Double)

We need to cut corruption. We need to increase policing. (Halve. And Double)

We need to cut luxuries. We need to improve productivity. (Halve. And Double)

We have always been attracted to the power of money. Though we are good in businesses and economies; but the modern businesses are close to technology and in synergy with it.

I wrote about money, because money helps in halving and doubling both. It is such a thing.

Another thing is halving and doubling are to be done with the same life force; if they are to be effective. Greed reduction and higher milk production should be from the same person. Corruption reduction and increase in policing from the same person. Cutting luxuries and increasing productivity from the same person.

These things did not happen favorably and we have failed as a nation because of this.

But I want India to do well. Especially the youngsters. I hope this lesson of halving and doubling reaches them. And . . . . . inspires them.

I plan to be in synergy with technologists and make/arrange money. Also I shall try to lead a halving/doubling life.

Experimenting with crayons

I am doing caricature practices with crayons these days.
The subjects are arbitrary. It will be tough to crayon an actual face. For many things have to be correct.

Intended Maharajapuram Santhanam.

More caricatures

I have more or less resigned to the fact that I shall draw caricatures of musicians only. I feel safe this way. Moreover, the caricatures on R D Burman musicians gave me encouragement from a fellow blogger. He wrote good.
I have made a caricature on Anand Milind. 

BYJU's

Byju is envied for his business acumen. He has made it big. He is young. But very enterprising.
This guy is a genius and brilliant and his courses can help you get into IIMs for sure.
Here is the link to his site. Byjus

Constants

Many constants and irrational numbers are nature driven. They exist in nature. Root 2, Root 3, e, Pi, Phi and Gamma. And of course Feigenbaum Constants. Then there is Kinchin constant as well. These are all naturally existing constants. And maybe more.
These constants are beneficial to humankind as they promote healthy life.
Then there are constants like Ramanujan-Landau constant which are deduced constants. Genius mindsets see patterns and deduce interpretations.
Then there are material constants like Avagadro number, Planc's constant etc.
Then of course there are principles like Pareto Principle which is 80:20. These are the most beautiful and practical of all the above.

#PythaShastri Travel Destinations

#PythaShastri likes Kerala a lot. It is God's own country.
#PythaShastri likes Munnar hills the most.
Kerala has other places like Kochi which is a world class city by any standards. Thekkady is a fresh water lake and is large sized. I tasted the water. It was indeed fresh water. Kumarakom is an outstanding destination. World level tourist destination in my opinion.
A visit to Kerala and a visit to Madurai temples will serve as a complete vision of an India. An India which is different. An India which will raise spirits.

Five Star Hotel

Five Star Hotel is a luxury accommodation meant for 2-3 days. It is situated in a big city or a tourist place.
A Five Star hotel usually has a swimming pool, gymnasium. It usually has a 24 hour coffee and light food service center. And a fine restaurant with chefs of international repute. And a bar too.
The lobby in a five star hotel has luxurious sofas with magazines spread on a center table here and there. A musician may arrive and play soft music. In his absence soft music is usually played on speakers.
Package trips or taxi services can be got arranged in a five star hotel.
A refrigerator with drinks and food is provided in the room. These are usually priced at very high rates. A window in the room opens to a pleasant sight. Either a garden or a monument or the pool.
Shower and bathtubs are provided to relax.
A laptop might be available with free wi-fi to facilitate guests. LCD TV are provided to entertain the guests.
Local cultural events are organised by the staff to increase knowledge of local culture.
Meal plans are usually American and buffet breakfast is served.
I have stayed in a suite. A suite has a living section and a bed section. And the toilets are large.
It is luxury to stay in a five star hotel.