Approximately calculating my binomials

Here are two screenshots.  They are nearly equal. 

If we make log like system for 4.4^(1/x), then we can utilize the fact that (2n+1)/(2n) and 4.4^(1/3n) are same.

Thanks. Have a great weekend!!

They are same

In the following, the numerator and the denominator are nearly same. Therefore they give about 1 as an answer.

You may observe that as the number in the top of binomial becomes more, more is the tendency towards equality.

And My Lord, my shepherd.

Have a nice weekend, guys !!

Movies watched recently

 I watched 3 Bhagyaraj movies recently. I enjoyed them. They were

1. Mundhanai Mudichu

2. Andha 7 Naatkal

3. Vidiyum Varai Katthiru

I am planning to see one more Bhagyaraj movies today or tomorrow.

Have a nice weekend, guys !!

This KAAL number formula

Consider the following KAAL number formula that I discovered.

Here are the mobile screenshots to confirm.

Have a nice day !!

And Gamma function

Here is a gamma function.

And the Wolfram Alpha screenshot for 3.75!

Have a nice day !!

Let us recapitulate KAAL number

A lot has been written about KAAL number. There are possibly many confusions because I tried "too much" to make them "accurate". Also I was "hell-bent" on making a gamma function.

This blog post straightens many things.

KAAL number is (Kirtivasan, Abhaya, Akshaya, Lata) number.

Its value is 4.4

I am not doing any gamma equations with KAAL number.

It gives approximate results. Not any of the results are accurate. That is the beauty of KAAL number. Its beauty lies in its approximations.

Write up

I am using a number 67.89 in all the below expressions.

Infinite series RHS

Infinite series LHS

One(x)

Zero(x)

Expression 1

Expression 2

I wanted to finalize my expressions on KAAL number. I am not getting into gamma functions. I am not making 4.4 more accurate.

Goodbye for now !!

Combination now made continuous

The combination formula binomial(n,r) is now made continuous. This means that one need not go back and forth or up and down but keep moving ahead.

Here is the formula and an example with it.

That is why binomial distribution are so natural. It is continuous. 

I feel ecstatic. I hope you like the expression.

Below is the Wolfram Alpha screenshots for binomial(7,2) and binomial(8,3)

Have a nice day !!