Sunday, December 8, 2024

The truth

I seemed to have got an approximate gamma function.  It was observed when I tried to apply Wallis pi formula for n less than 1 and greater than 0. You may be aware that I have made a sum series formula with Wolfram Alpha and this sum series gives 0 to 1 factorials accurately. 

This is the background. 

Then I thought the approximate gamma function is dependent on how you choose. I made a Devils formula for gamma and made equation like 10 by 3 is 3, 3.3, 3.33 etc. Now I realize the accuracy factor could be any number to the power of a polynomial of n when considered in a range.

Then I thought sum of numbers could be continuous and not necessarily for integers. I discovered the accuracy factor could be any number to the power of a polynomial of n when considered in a range.

The above two made me write Qayanat calculus. 

The expressions were similar to rational number series of mine and this reiterated to write Qayanat calculus. 

Other points too. Like accurate explanation while using a ruler. Qayanat calculus term got firmer in my mind.

This was the reason. 

Then I realized Gottfried Willhelm Leibniz idea must have been this only. I saw one or two paragraphs of Leibniz calculus in Wikipedia and was convinced the idea was similar to Leibniz calculus. 

I never used the term Qayanat calculus thereafter and was delighted that masters like Leibniz and Gauss were there.

When I see great masters I get delighted. And say to myself how great they were. 

I want to be their chela.

Thanks. 

Have a nice day!!

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