Monday, November 4, 2024

Approximate Integral?

 


Now that we in India have approximate 2n  factorial formula; and now that we in India have approximate (a/b)^n formula; and now that we have the next number approximation; and now that we have many other formulas for approximate functions: . . . . . . it is time that Indian mathematicians apply their brain and work towards approximate integral. 

Just as Taylor series gives function as infinite series of to the power n, factorial and next level derivative; I am suggesting a function of approximations with my approximate values of (a/b)^n, (2n)! and next number. 

PM Narendra Modi should form a high power mathematics committee to explore, try and make approximate integral statements. 

The benefits are Indian people will develop to behave approximately. Indian people will improve intelligence.  Indian people will develop devotion.

If you think my idea is even 10 percent feasible, do comment below. 

Saturday, November 2, 2024

Is our Bhakti due to gravity?

Imagine you never experienced gravity. You were born in space, devoid of much gravitational field. Will you be having bhakti for Shiva? For Vishnu?

Sitting in my home at Ranchi, I am hearing devotional hymns and chants being played on loudspeakers.  Chatt festival season, it is. A local festival of Bihar and Jharkhand. 

Can there be taal without gravity? Imagine tabla being floating around. Can a tabla player still play the tabla? If he cannot, then there is no rhythm.  If there is no rhythm,  then there is no hymns. If there are no hymns, how can bhakti be developed?

My earlier approximate formula for 2n!, I believe is devoid of gravitational numbers.  So I claim. So I believe. 

My point is this.  Rhythm may not possible in absence of gravity.  Is it possible to see truth, meaning God through my 2n factorial formula?

I wonder.


2n factorial - Final submission

 The (2n)! formula with ((((n+1)(n+2))/2)^n) gave me many sleepless nights since April 2024. On April 2024, I discovered that ((((n+1)(n+2))/2)^n) is approximately connected to (2n)!. But how to give an expression? My education is limited. My mathematical prowess is hardly comparable to champions of IIT JEE.

But I felt it is my duty to complete the formula. Till calculator range. Till 170!. Or when n equals 85.

I carried on. I used the formula of Stirling formula and other expressions of (2n)! to get (2n)! through ((((n+1)(n+2))/2)^n). Well that was incorrect method. But I continued.

Now, I have finally made it. Without the use of any other approximate or accurate formula of (2n)!

Here is the formula



Here is an excel sheet that confirms 99 percent accuracy.



Have a great weekend folks!!