Gamma function from consecutive numbers

I made gamma function from consecutive number function.  It feels great !!

Here are the Wolfram Alpha screenshots.

I have typed the gamma function in MS Word

Have a nice day !!

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 !!

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. 

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 !! 

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.