1 percent error in calculator range

 I have modified my earlier formula and it now fetches result in the calculator range to 1 percent. Given below is the screenshot of the formula

And the Wolfram Alpha screenshot to confirm 1 percent error claim.

Have a nice day !!

general approximate 2n factorial formula

I hereby submit my approximate 2n factorial formula

It calculates 2n factorial till 2n is 0.1 million or 1 lakh.

Any more improvements, if any will be done to this formula only. And that is what I have thought about.

Have a nice day !!

light at the end of tunnel

 You may be aware that I made a formula for (2n)!. It was (2n) factorial was approximately equal to (((n+1)(n+2))/2)^n. Here is the link

It was a crude formula and the result was not accurate. 

So I posted a query in Wolfram Alpha to plot (((n+1)(n+2))/2)^n divided by (2n)!. The resultant graph seems like a half binomial distribution graph. Half bell graph. 

As the graph is known to us the formula (((n+1)(n+2))/2)^2 can be made more accurate. 

Factorial Formula

If you thought factorials of decimals and integers can be found out only by integral of e or integral of log functions, think again !!

Here is a formula which uses summation till infinity and still finds factorials of decimals and integers. How about that ?

This formula is very liked by me also because I did an experiment to derive it.

(I had done this formula earlier and have made a blog post. In this blog post I have reframed the expression in some other manner)

The world of Golden Ratios

 I am now presenting 4 expressions. Two of them done earlier. Two now. 

100% indigenously calculable

The following expressions are 100% indigenously calculable. These are 'Make in India' formulas.

Accurately

Approximately but effectively

Hope you have a fine day. Good wishes !!

3 milestones to becoming a professional digital comic artist

 You may be aware that I have dreams to becoming a digital comic artist. I have Wacom One and Lenovo laptop to realize my dream. You may be also aware that the title for my digital comics is likely to be "BEHAVO". I have kept it "BEHAVO", because it  will teach good behavior to young people even under difficult life situations.

But there are 3 milestones to achieve before I start my "BEHAVO" comics.

1. 5 perspectives of humans, animals and objects with camera at normal level. 3 perspectives of humans, animals and objects with camera above head level. 3 perspectives of humans, animals and objects with camera at ground level.

2. Outdoor scenes practice with lessons from book by Masao Yamada.

3. Learning Clip Studio Paint software as per my need.

With the help of a tutor I can achieve the above targets in a year. With the help of a highly motivated youngster in two years. On my own it will take four years. My retirement.

Do not forget to enjoy your time folks. The Lord above wants a happy world and a happy world includes you. You as an individual. Cheers !!