Monday, July 14, 2025

4.666 based approximate gamma(2n+1)

 I am submitting my almost final submission on 4.666 based approximate gamma(2n+1).

The formula is as given below. Check the big expression in the lower value of the integral.



The Wolfram Alpha screenshots



If only the top think tank in India agrees. We can have the truth (because of gamma function) behind the necessary human understanding of the number 0.

My good wishes for a nice day !!

Mathematics snippets

 Archimedes Pi



Golden Ratios



Combination (2n,n) and more


Sigma based Gamma function

Question and answer in Math GPT



These are what I am currently thinking about. So made a post. I want to correct 4.666 integral and make it closer to gamma function; but am unable to do so.

Have a nice week folks !!



Sunday, July 13, 2025

Which one of these gamma functions are correct?

Gamma functions are how humans understand truth in number terms.  One doesn't say there are 5 chairs but we also mean their arrangements,  selection, combinations and all. So saying 5 chairs is poor representation of reality. Functions involving 5! are superior.

Euler made gamma functions.  Nature can calculate 5.45! too. Decimal factorial.  When one says factorial then it means whole numbers.  When gamma functions then decimal factorial too apart from whole numbers.

50000.116!



50000.116! from my Sigma functions. 



50000.116! from a standard formula 



50000.116! from my latest formula 



But why discrepancy and where and what are the errors ?

Only mathematicians can say. I do not know. 

Thursday, July 10, 2025

At last !! Got gamma function in terms of Integrals

I was desperate to make a gamma function. Because gamma function are the truth. About 75 percent of nature's truth are hidden in gamma. This is my feeling !!

In my earlier post I wrote gamma function in terms of Sigma operation.

But in this blog post, I am attaching the gamma function in terms of Integral operation.

And the Wolfram screenshots to confirm that the expression is correct.




Have a very nice day, folks !! 

Wednesday, July 9, 2025

Gamma function is the truth

 Here is a gamma function.

I hope you like it !! Have a nice day !!

Letting my heart out or more frequently asked questions

Why did you get into mathematics?

I had a sense of timing in hour glass model. And the sense of this timing were in numbers.  The year was early 2000s or late 1990s. I don't remember.  Because my sense of hour glass were in number terms and Because I had infinite series method in Measuring Behavior,  I got into mathematics.  On my own.


Was it a wise step? Getting into mathematics?

No. My thoughts are not suitable to Indian mindset and my career in SAIL has got ruined.


Does anyone support you, then ?

The foundation of internet is peer to peer. I feel I get empathy from some peers in the internet world. That's all.


Do you have grudge against Indian intellectuals and mathematicians in particular?

Not a grudge.  Mild criticism perhaps. The zero we do in school,  college and higher areas of mathematics are zero of scale or ruler. It is a foundation of English people.  It was Wallis who first thought like this. Then, Newton,  Taylor,  Maclaurin, Euler all made contributions. Tell me are Indian students clear about zero? Are they not mixing up their own theories of zero with that of ruler or a scale?


Perhaps they are mixing up the zero concept.  But how is your mathematics useful?

My mathematics is an internal thing. The hour glass is inside me. The numbers due to hour glass are inside me. I have made expressions which are valid mathematical statements,  in general terms too. But I believe all of them are internal statements.  The 4.666, the constants, the approximate binomials and the combination (2n,n) are all internal phenomenon which are valid externally too in terms of numbers.


Do you believe that God is behind your mathematics?

Yes, I believe Jesus loves me.


Are you aware of mathematics technology or applications of mathematics in technology?

Not really.  My mathematics is internal. Perhaps some of my processes may improve quality.  And I feel I can improve quality as PDCA and DMAIC are highly internalized inside me. But when I do not have the latest mathematical processes my quality cycle inspiration is restricted. It is like this. I am reasonably good in 2d art. But today is the world of 3d art. And I can improve only in 2d. No chance of improvement in 3d. The same is true for mathematics. 


How can your mathematics help others?

I have approximate results in binomials,  gamma and all. Working on my mathematics will improve personality of people.  As an example an average Indian may have desires to date a fim actress.  Or an average Indian may have desires to become very rich. By following my mathematical models,  they can sense that their focus is approximately wrong.

Apart from this following my mathematical models may improve quality. 


Thanks. 

Thanks.

Saturday, June 28, 2025

Frequently Asked Questions

What are you doing these days ?

I have made life long plans in art. The plans are 2d. Cartoon,  comic of superman quality.  


Will ordinary comic stories have muscled bodied characters?

No. There will be two types of comics. One, my style.  And the other superman style.


Why not get into 3d?

See, I am self learning.  And I feel difficulty in drawing 2d. 3d is even more difficult. So much symmetry so much accuracy, so greater knowledge of 3d software mechanics and tricks are needed. I can't self learn all these. But I do like 3d sculpting very much. If only I get coaching and practice time.


What happened to mathematics?

Frankly, I am extremely disappointed with Indian think tank and top brass. I did 4.666 and not even a single soul are interested.  Shameful and total disregard these intellectuals have for a knowledge seed.  Agreed that entrance exams are the way to have long time access to mathematical resources and journals. But I feel scholarship in the eyes of Jesus is more important than entrance exams. 


Is 4.666 or KAAL number more important than e ?

I feel yes. The constant e itself have foundation in trigonometric series. 4.666, though only approximate does not have foundation in other serieses. It has the foundation of 1+2+3+4+5+.... which are ancient Indian thoughts. And I made factorials and infinite sigma from them. You can imagine my disgust for Indian intellectuals. 


What about combination (2n,n) ?

Combination(2n,n) is another important contribution from me. Electricity sorts theory, golden ratio type of series, mock theta foundation are there in some of my combination(2n,n).


. . .  And what about approximate results from your binomial?

Yes, many approximate results from my binomial are so eye opening for human race. But there is no point. Relevant Indian intellectuals are not showing interest.


The world looks at water, food,  transportation,  knowledge etc. for everyone. In that sense, should you not get 3d sculpting knowledge.  Should you not spend money and learn Blender,  for example?

I agree that I deserve 3d art knowledge.  But unfortunately there is no point in online courses only and I need teacher or bright guys besideme. In India many guys sleep with an empty stomach.  My case is similar to this.


In the same context, should you not get mathematics knowledge?

Mathematics knowledge may not be necessary.  It is a case different than art. Because my knowledge is very deep in mathematics. Taylor level. One step lesser than Newton. Mathematics,  you may say I can be self reliant. But the same is not true with 3d art. Getting 3d art is a human thirst which needs to be quenched by Indian society. 


So you think learning 3d art is the responsibility of Indian intellectuals ?

First of all I don't want to blame the Indian intellectuals only. I can join a course or get real time internet lessons in 3d. Because I have money. So it is my responsibility also. Now, life is much about 2d to 3d. Call it L functions,  call it Penrose thoughts.  2d software for art and 3d software for art are not just softwares. They are philosophical. I am thinking in terms of philosophy and want to make them practical. So I expect assistance from intellectuals.  When I don't get support I get frustrated. 


Thanks. 

Thanks. 


Wednesday, June 18, 2025

Medium Quality Indian

I think I have understood the Holy Bible.  Jesus loves you even if you are average. One should not have pride, indulge in lust, eat celebrity dishes, understand oneself and not kill or steal, be lazy or hate others for their superiority. 

Is it not amazing Jesus loves us for what we are ? The Lord Jesus Christ will give his blessings for being average and the Holy Spirit will guide us to our good.



I have accepted that I can be a medium quality artist in India.  Not high quality. 

I have accepted that there are greater Shoonyata proponents in mathematics in India than me.

I have Holy Bible and guidance from the Lord. I listen to prayers of good words.

May Christianity spread in India!!



Monday, June 2, 2025

. . . On with Digital Art

With mathematics mindset over, I shall get on with art. 

Digital is the way today. Paper Era is over. For all. Portraits,  cartoons and every drawing art.

Wacom One, Clip Studio Paint and Lenovo laptop. 

Objects in front.

Comics art.

This layer. That layer. This tool. That tool. Welcome to Digital Drawing World.

Have a nice day ahead with cheers !!

Golden Ratio

 


Some results of earlier blog post

 





1/4n in above is (1+root5)/4n, I think. 

Mine is a clumsy expression. But sort of explains the 1,1,2,3,5,8, 13, 21 . . . . . . An expression of un-paralleled beauty, the Fibonacci series.

Some Wolfram Alpha screenshots.







Saturday, May 31, 2025

Silver Ratio and Ability expression

In about a month in past, I have given the Indian society three research concepts. Namely

1. 4.666 or KAAL number

2. Sigma of n/(n+1)! for all factorials including decimals. This I propose the name Ability expression. 

3. ((Combination(2n-1,n)+Combination(2n,n))/(Combination(2(n-1)-1,n-1)+Combination(2(n-1),n-1)) ratio.  This ratio I propose a name of Silver Ratio.

The KAAL number, Ability expression and Silver Ratio are of Wolfram Alpha mainly.

It can be NAKAL- ed by Indian society. (N is Neela, my mother). And improved if improving is possible. 

. . . Off to drawing art now. Bipolar mindset.

Have a nice day !!

Friday, May 30, 2025

Interesting Properties

Combination(2n+1,n) plus Combination(2n,n) gives golden ratio like properties. And also other formulas for Gamma values. 

3.8 or something. 



Have a nice day !!

The Holy Bible

 I have ordered 'The Holy Bible' book from Amazon. 

Thank you,  Internet. 

Have a nice day!!

Thursday, May 29, 2025

Kaveri Jet Engine

DRDO is developing Kaveri Jet Engine. This will improve our defense strategies.  India has always maintained a stand of no first attack.

With the systems in place these jet engines will give a fitting reply to enemies.

Jai Bharat hi!!

My grudge in SAIL

There are many things which ruins a career of a well meaning individual.

There are guys in government who thinks Cabinet Secretary is more important than Prime Minister. CBI is more important than Armed Forces. 

In SAIL ED(Works) ruined my life, my career and in fact my alliance proposal too.

Therefore, I asked Google AI a vital question. Here it is.



Tuesday, May 27, 2025

Monday, May 26, 2025

Sins and Virtues of Mathematics

Sins of mathematics

 1. x =0

2. Polynomials and other functions equated to zero.

3. Maxima and minima equated to zero

4. Rotating thinking about 0

Virtues of mathematics

1. Appreciating beauty in m^2 -m -1. And not equating to zero

2. Alternately negated polynomials and analyzing them for combination(m,k) *(a)^(m-k) * (b)^(k-m) , with k varying from 1 to m. Not 0 to m.

3. Analyzing equations of the type (x-a)(x-b)........ and considering (1/x -1/a)(1/x-1/b) ......

4. Treating A which is A^1 as A^0.95 or so.

Here is a further extension to the Lord's  way

St. Thomas, patron Saint in Kerala and Tamil Nadu


May the doubts of children get clear in their mathematics, your Holiness !!

My rational analysis of 4.6666 or KAAL number

I must state that KAAL number is a Blog article. It is for internet experience. 

Approximate equivalence is much better than accurate formula.  One cannot complete 1/3. Can one ?

(4.666)^(1/x) formula is okay to me. 0, 1,2 etc are not coming properly.  Support of mathematical minds are needed.

0.1/n formula comes okay. And I claimed String Theory for higher values of n in LHS side. Verification from researchers are needed.

Integrals of 4.666 and treatment of lower value for definite integration should have been avoided by me. It is unofficial. 

I must state this. Ramanujan and his Mock Theta Functions are of much larger strides than my statements. I am sure of this fact. He is my Anna (brother) and it is easy for me to accept this certain fact.

My spirit of God asks me to wander all over India and experience Jesus and his 40 day life.

Thanks for your time. 

சொல்வதை செய்வோà®®், செய்வதை சொல்வோà®®்

Former CM of Tamil Nadu Kalaignar M Karunanidhi said " We do what we say and we say what we do". He was a great visionary and a great implementer unparalleled in Indian soil since 1947 to 2025. His legacy will continue to inspire us and drive us to deliver contributions to his economic dreams.

I talked of Approximate Integrals and I made it. Much like what Kalaignar said as above. A very small and a very humble offering from my side to the state of Tamil Nadu. Qayanat Calculus theory.

Here is the latest on 4.666 issue.



Sunday, May 25, 2025

Gamma functions list

See, where the world is. And we in India eating gobar.

List of gamma function