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.