Books

Thanks to Nehru philosophy,  India has food. 

Indians had quest and greed for books. I feel I have quest for beta functions,  gamma functions,  digamma functions,  partial sums, infinite series, calculus and particularly Gauss ideas.

Resnick Halliday,  Hall and Knight and Loney are favorites of many. Ramanujan had Carr and was deeply inspired by it. He learnt rigors of mathematics from Carr book.

Bernard Reimann is particularly very rigorous and methodical. I have understood his Reimann Zeta functions.  

If Nehru were alive I would have got library cards to great Indian library like Kelkar of IIT KANPUR. 

But with Modi government in power my focus is adjusted with the focus Modiji has. And that is my SAIL. 

Have a nice day !!

I wanted to find who is the most rigorous mathematician. And the answer

Complete prime number list

I have the following to say

Here because consecutive numbers are multiplied; and because consecutive numbers are generated: we can build a program for prime number generator.

Below are the Wolfram screenshots for 16,17,18, 19, 20 (19.61) and 21(20.67).

And for 30,31,32,33,34 and 35.

I also believe this is how we use our 5th finger and the sixth.

Have a nice day, folks !!

An expression today (18th June 2023)

I have done many binomial expressions.  My binomial expressions start from 1. Not 0.

I am presenting below 2 screenshots.  The explanation is there if you follow the screenshots. 

The expressions are nearly equal. 4 is there because of 64 by 16.

I hope you like this expressions.  

Gauss was at the top of distribution of mathematicians. His Gauss constant (G) seemed to say that Gauss can be fair and unfair to people at the same time. And that too he can be most fair to people.  And most unfair to people. And that was some brain there. 

Euler was a simple man. But full of mathematical expressions and theories.  He was like he said a lot on simplest of things. Even today he has left volumes of materials which scientists are reading.

Abel was brilliant.  A superhuman brain. 

Ramanujan had so much of interest in mathematics.  He never allowed to go his theories go waste. But took initiative and went ahead to join Cambridge. When you think of numbers, you must always consider Ramanujan Tau function and Ramanujan theta function.  When you count number of chairs sitting in Ranchi; you don't add the number of chairs in Delhi.  Do you? That is Ramanujan tau function.  Holding pencils in hand you count 1, 2, 3 etc. Even though the pencils brands are different.  That is because you feel musical, you feel harmony and you feel all are pencils.  That is Ramanujan theta functions. 

I have read only from Wikipedia but I applied and went ahead and tried to decipher a lot. Do read my Measuring Behavior and Up and Working blogs. These have articles on Ramanujan Tau function and Ramanujan theta functions. 

Have a nice day dear readers. Good  luck!!

An expression today (15th June 2023)

The hour glass tilts upside down.

The equations are also tilted upside down. Not just the LHS but the RHS also tilts upside down. 

These equations are great metaphors. 

Here are they.

I did something similar previously.  They had factorial in the denominator.  The equations on RHS did not have two terms. No 1s.

I am sure you like these expressions.  I wish to study Gauss and understand him in this lifetime.  But don't know if possible.  Gauss was the peak in mathematical mountain.  

I never had a guru. Be it mathematics or art. I inspired by Jesus move ahead. I pray to Shiva in temples as per my practice. Tamil Nadu guys will understand my mental state. I have a military mindset and like Muslims too. They are my brothers and sisters. 

Have a nice time dear readers. Have a great day 😀!!

An expression today (14th June 2023)

I submit this equation below. Like the last expression this expression is also approximately 1.

Here are the Wolfram screenshots. 

And the calculations to show that the result is approximately 1.

You can try for other values and see for results. Get back to me if there is any error. 

Have a nice day, folks !!

An expression today (8th June 2023)

This is a top expression of mine.

Here are the Wolfram screenshots for 67,163 and 19; randomly chosen numbers. The screenshots are of the four terms on the LHS of above.

Here is the calculation which shows that the resultant operation gives approximately 1.

Here is a second example.  33, 66 and 99 are the random numbers.  

Wolfram alpha for 4 terms of LHS.

Calculation to show that RHS is indeed approximately 1.

Have a very nice day, my dear blog readers !!

Interesting notes from my mathematical findings

The below three are some interesting notes from my mathematical findings.

Timings

It is like an hour glass tilted upside down. There is symmetry in the expressions.

Mercedes Benz symbol

An infinite series for 120 degrees.

Five way pi by 3 root3

All the five infinite series give pi by 3 root3.

Till then, have a great day !!

My deepest understanding

We so easily say 1, 2, 3 pencils for example.  But are all the pencils absolutely similar? 

We have a musical mind and trained by favorable field of thoughts of our parents, brothers,  sisters, relatives and others we developed intelligence.  We learnt that a pencil has a lead, writes in black, can be erased with an eraser. As all the three have similar properties we say 1, 2, 3 pencils. 

I believe Ramanujan theta functions work for the above.

I believe half the mathematicians see numbers in 1 to 0. They don't want to go 1,2,3,4, . . . . till infinity. And that's why my theory is not been accepted by Indian mathematicians. 

I have one question to ask. Stephen Hawking wrote "God made the integers". Strengthened by the title I dare to ask the Indian mathematicians as to what they have to say for integers.

Okay so far so good. 

Integers are about seeing the light bending and having an expression for same. As I have that and as 1/(n(n+1)) is light bending supported,  my contributions hold.

So it is all about the title "God made the integers". If you believe in it, you accept my theory.  Plain and simple. 

Have a nice day dear blog readers!!