Beauty of Euler number

Euler number e is so beautiful. It changed our world by 25%.

And given below are two expressions which say by themselves why e(Euler number) is so beautiful.

When the 2^m term is in denominator root of e is obtained. When 2^m is in numerator e squared is obtained. 

Here are the screenshots.

It is a great honor that I had approximate expressions with 2 in numerator for squared of five consecutive numbers and with 2 in the denominator for square root of five consecutive numbers.

This is what I am talking about.

So Euler number and my expressions have similar property.

Euler you were the greatest !!

Have a nice day, dear blog readers !!

I claim to be an inventor

I invented dafli playing with a different style of playing. See Dafli and singing.

I claim this style of dafli playing to be one of the easiest. 

Dafli playing and singing is a very important skill to build rhythms. Even instrument players like violin player or a flute player or a sitar player should learn to play dafli the way I play (because I claim it is one of the easiest) and sing. Because this is an easy way to build rhythm. Your whole body and mind will learn to be in rhythm. And then when you take your violin or flute or sitar you will play in rhythm.

However it is better that Dafli is replaced with a vegetable cutting board. The sound created is less and also it is more convenient to use.

I invented Music scale. This music scale can be perfected using  the musical equation (base frequency)^(n/12).

I would prefer a musical scale to be made like a hanging belt.

These two inventions are useful music assets. 

Why don't I use it? Because currently I have lost singing habit due to sadness being away from family.

Why don't I start an industry for making music scale like a belt and a dafli like a vegetable cutting board? Because my father was just a service man in Singhania firm. And I believe in using vegetable cutting board and belt for personal usage for the invention. 

People here in India are shy of the term "inventor". Steve Jobs wasn't shy. He is called an inventor in USA.

Movies watched recently

Shershaah - Story of a brave soldier fighting in the Himalayas. 

Jai Bhim - Attrocities on a tribal of Tamil Nadu and a fight for justice by a Chennai city lawyer.

Meenakshi Sundareswar - An Iyer boy and a girl who got married due to a confusion are able to face challenges of life and their liking for each other finally wins.

Dhamaka - Terrorism and media action.

Shakuntala Devi - The story of the Indian mathematical genius.

Gamma with consecutive numbers

 Rational number series or consecutive numbers are great for Euler-Mascheroni constant or gamma. 

The three and four consecutive numbers have been used to get gamma in both the cases below:

Let me say a few things before I wind up this blog post.

1. Gamma is my favorite constant

2. Though I had a hunch what is gamma all about, still it took me two years to realize that my hunch was correct.

3. The rational number series are great to express gamma.

Have a nice day !!

An infinite and a finite expression from five consecutive numbers

 Here are the expressions I am talking about. The expressions are given below:

The expressions are beautiful. They have a good value.

I wish you a great day ahead !!

My intuition was right

You may recall my approximate expressions for three and four consecutive numbers, their squares and their square root operations. If not, then here they are given below:-

I had a hunch that there was a connection between squares and square root operation. But there were no such prominent connection.

Yesterday I considered for five consecutive numbers. Below is the expressions for five consecutive numbers. their squares and square roots.

Is not the connection between squares and square roots obvious? When it is squares (2 by 1), the RHS has 2 in the numerator. When it is square root (1 by 2), the RHS has 2 in the denominator. Otherwise the expression is one and the same.

(Request :- Kindly check and let me know whether approximately correct or not. I tried them for only two numbers)

Have a great day ahead !!

(If the above for 5 consecutive numbers is true, then it explains why our legs with five consecutive toes are so periodic and why our hands with five consecutive fingers so easily takes up right angled behaviour)

Basic binomial

 Consider the below equations. They are binomial expressions.

I am sure you like them. Have a great day !!

My explanation of the world is complete

God said let there be primes.

What are primes?

It is about 10. 10 fingers. Log to the base 10 business. I wrote about it in 2012.

Then what about 1?

1 is an infinite series.  I got 1 when I did a set of max reps with 10kg dumbbell with left hand. The sets of max reps made 1. So 1 is hard work.

What about 2?

2 is not similar to 1. It is about angles. I wrote about it in one of my blog posts. The complex number i comes to play immediately when we think of 2 or more.

Okay. So you say 1,2 and primes are important and you have a justification for that. Well then what about non primes?

Non primes are multiple of primes. 15 is 5 into 3. Multiple to me is Ramanujan Theta functions. Ramanujan theta functions are foundation of spoken languages. 

So essentially God made man with 10 fingers. He wanted him to work hard. He wants him to look at various angles.  He wants him to speak well.

Okay. However there are four things left out. Money as numbers. Time as numbers. To the power 1, to the power 2, to the power 3 etc. and mathematical constants.  Can you explain them?

The thing that comes to my mind when you raise these four points is about faith and belief in God. So I leave it to individuals.  

Have a nice day, dear blog readers.

Euler was great

Euler was so great. I admire him deeply. He made a prime number generator. It has 58% efficacy till 1000 numbers tried.

Here is the screenshot

I made two prime number generators based on my theory. However, I used 41 from Euler, my master. (41 because 40*4.1 is 164 which is next to 163, the largest Heegner number).

One has 51.4% efficacy till 1000 numbers tried.

Here is the screenshot

Another has 49% efficacy till 1000 numbers tried.

Here is the screenshot

I am writing this blog post because I managed to get more than 50% primes. i.e more than average.

Have a nice day, dear blog readers !!

Guruji - The most important requirement

 

 

I don't know about others. But I feel guruji is the most important requirement of a man. A person who can mould the young. 

That is one of the reasons why I want to turn into a teacher of young.  I have discovered methods.  I want to tutor kids with my methods.  Be it music. Be it mathematics.  Or be it art.

I always lacked a great tutor.  But I must add here that our HOD at KCT Coimbatore was a great guru. KAPS we would call him. But I did not or could not pursue further education in South. We were not financially well off. I had the only option of job.

Guruji points out mistake then and there. And he is able to do it convincingly.  And he has a method for improvement.  These are the qualities of a great guru.

I hope I get all the required abilities in art, mathematics and music with self discovery.  Or blessings of great souls. I am willing to put in effective hard work.

Am I not ambitious? The fields are vast. Therefore no. I am not ambitious. 

I am not much interested in public and interpersonal skills. However I want to be good in managing my own requirements. I want to be very efficient. 

So four things Guruji. Art, efficiency, mathematics and music. I seek your blessings in advance.

God, tussi great ho !!

I was unlucky

It was in 2010 that I made Measuring Behavior equation. I was more interested in a psychological equation than an expression of the constant pi.

To think about it now, I should have got the great Wallis product expression for pi. Because that was the way I thought about Measuring Behavior.  But not to be.

In 2017, however I made a sigma till infinity of combination 2n and n. At last I got pi.

What is infinite series all about?

Convergence.

And what is convergence?

Eureka.  You keep wondering why the car is not starting. You check fuel. You check battery.  You check fuses. But no. The car doesn't start. Then eureka !! You realize it is a diesel car. And you need to press the clutch with your feet while starting.  This eureka is similar to convergence of an infinite series.

Hey guys !! Take it easy. It was not supposed to be a definition. Just my thoughts on infinite ♾ series. 

When I got the funda of Euler Mascheroni constant gamma; I felt heavenly. It was inside me for a couple of years and then I realized that my thoughts on gamma and an expression of gamma were very very similar.  That was one satisfying moment 👌. 

So folks, bye for now. Have a great day!!

This is superb

Consider the following screenshots.

And therefore the below statement. (k and m are positive integers)

 

My preferred tea time table

0630 hrs Assam tea. Plain. Milk

1130 hrs Assam tea. Tea masala. Milk

1530 hrs Nilgiris tea. Plain. Milk

1745 hrs Assam tea. Himalayan Amrit half teaspoon.  Milk

1930 hrs Darjeeling tea. Plain. With Milk or without.

In summers, at 1530 hrs one must have Nestea with ice cubes.

In winters, at 1930 hrs one must have thicker Assam tea with cinnamon/ cloves/ elaichi.