Tea is most suitable

Here are details of the brain of Carl Friedrich Gauss. 

Carl Friedrich Gauss 

If I were his cook, I would have given teas to Gauss sir. Coffee would have made him mad.

Need to study him.

The 0.89 minus 2.88 by n raised to 0.95 formula thing

This blog post is about the lower integral value of 0.89 minus 2.88 by n to the power of 0.95. This may interest the mathematicians. 

If it were 0.89 for n>=5 and less than 10 and 0.88 for n >=20 and n <=60 and then increases to 0.9, 0.91 for n>=80; then it is great.  We do not have to change 2.88 by n to the power of 0.95. So is there a scale for above changes in 0.89 then 0.88 and then 0.90,0.91 ? The answer is YES.

See the screen shots below.

So my theory of lower integral value has approval in common numerals formula. 

How about that ?

Have a nice weekend!!

The results as above.

Happy Sunday folks. Pray to Jesus.

108.726 ! is actually 3.989 into 10 to the power 175.

Integral with 54.363 gives 3.14 into 10 to the power 175.

138.318 ! is actually 3.31 into 10 to the power 237.

Integral with 69.159 gives 2.71 into 10 to the power 237.

The formula 0.899 + ((1/n)-(1/10))*((1/n)-(1/60)) - 2.88/(n^0.95) stays. 

I propose 4.666 as KAAL number. KAAL in Hindi means the times we live in.

This finishes. 

KAAL is Kirtivasan Abhaya Akshaya Lata. My family members. 

Final sample result for n>=20 and n<=100

 The final sample result in the range of 20 to 100 is as given below. I have used the following lower integral value

y = 0.5665 + 0.009027083*x - 0.00009515625*x^2 + 3.072917e-7*x^3 + 3.90625e-10*x^4

I hope you like my integral theory. 😎😎😎

Have a nice weekend, dear blog readers.

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.