Sample result

Below is the sample result from my integral.

Have a nice weekend ahead.

Final 4.666 results

My mind was wavering in the integral part. Then I decided on changing the lower value of integral only. I am not going ahead with correction factors.

Finally,

The integral is okay I think for n = 10 to n=300. I have checked randomly.

Goodbye for now.

Have a nice day !!

My suggestion

 I feel one must avoid complicated expressions and be simple in the integral formula. So this is what I did. I asked Math GPT to simplify the big six degree polynomial (which gives decent results) to a two degree polynomial.

The answer I got was (-0.83 *(x^2) - (0.82)*(x) +16.19)

Today (22 May 2025)

So, there are many assumptions in my thoughts and statements. I work on intuitions. When working on intuitions errors do creep up.

Have a nice day !!

My message

Here is the formulas made on 4.666

And the most latest 2n factorial used and blogged in earlier blog.

Calculating 4.73715 ! with only sigma operation

Here is how one can calculate 4.73715! with my formulas.

I came to know only yesterday using Math GPT. That is height of 'Agyaanatha'. It may not be necessary to use integrals for decimal factorial calculations.

Have a nice day !!

Two results in recent times

 I made two expressions in recent times. One more golden ratio formula. And one n! formula.

Golden ratio formula

n! formula

These I have made in recent few days. I hope you like the above expressions.

Have a nice day !!

My mother and I

I am staying with my mother here in Ranchi. 

She has been staying here with me since 2017. I was transferred to RDCIS,  Ranchi in 2016. 

She was helping me with food and managing the quarters we live in. But currently she is under medicine . It may probably take a month for her to become better.

Currently we are managing food from SAIL mess here in Ranchi. SAIL has good facilities and SAIL staff are helpful. 

Have a nice day, my blog friends.