What I wish to say

 

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A general form of my hypergeometric function

Hypergeometric distribution is distribution above binomial distribution. 

When we made a mark | when one bullock went inside cowshed; and || when the second bullock went inside the cowshed and so on we were ignorant and simple. Later we came up with 1,2,3 etc. The problem is we used 1,2,3 not just for the bullock getting inside cowshed but also for the tiger cubs getting inside the den. Is a bullock the same as a tiger cub? No. That is the problem. 

Hypergeometric distribution is not like that.

Here is a general form of the Hypergeometric functions that I did.

You may notice that the results are same if we start from 0 or start from 1.  This is exactly what I was preaching about.  Indians in general give a lot of importance to zero. Shoonyata.  Many feel they are shoonya and do the job of 1 or any numbers till infinity.  They are controlling their egos perhaps. 

Many people think I am Tamil, non hindi and perhaps non US. No sirs. I am a global devotee of Shiva. Of Mohammed. 

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Final hypergeometric function

 

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My transformed hypergeometric expression now fetching classical result

My transformed hypergeometric functions are fetching classical result. 

It fetches results on e.

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Some approximately theorems

I believe I can make upto 4 theorems.  Using calculator and Wolfram alpha. 

Almost a number theorems.  This can be developed and will further reiterate the fact that actually there are no numbers.  Hindus started marking 1 line, 2 lines, 3 lines for each of the bullocks that entered into cowshed. Lines are okay. But actually 1,2,3 are not. Surprising, isn't it ?

Thou shalt not eat fruit from the tree at the centre. So the Lord commanded. Eve was tempted by serpent and then the original sin was committed. Today manhood so easily sway from one tree to another and count with temptation and greed for the fruits. Jesus commanded to be in his Hypergeometric distribution.  There are some clues when I use Wolfram alpha on Hypergeometric distribution.  

The above is a list of mathematicians admired by Stephen Hawking (on left) and E T Bell (on right)

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More thoughts in Delhi

 

I bought a spiral notebook from a stationery shop in Delhi yesterday. Spiral notebook is better because then you can remove a page from the notebook and the notebook doesn't loose significantly. 

I was thinking about hypergeometric functions and hypergeometric distribution.  Consecutive numbers as in (a)^n/(comb((a+1)n,n) and (a)^n/(comb((a-1)n,n) seemed to map hypergeometric functions to hypergeometric distributions in my theory. 

I thought whether 1/2 to 2/3 or 1/2 to 3/4 is of significance? If yes, can it beat the Newton 0 to 1 thing and his approach of approximations?

A student of brain and coming up with a 45 degrees equivalence theory in Maclaurin series is considered brilliant.  And whole heartedly I also feel so. Such student must get rewards of significance and must feel proud and happy . My saint inside swells in pride if this student of great caliber gets an award.

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Celebrating Diwali in Delhi

I am in Delhi to celebrate Diwali. My mother is in Ranchi. And I shall join her in two days time.

I have been thinking about hypergeometric functions all the while.

1. The ruler need not be straight.  It could be curved. And curved in 3d.

2. Whether angular momentum concept arises because of 1,x,x squared,  x cubed . . . 

3. Or whether angular momentum arises because of a+1, a+2, . . . 

(I guess because of a+1, a+2, . . . as then it supports Taylor series . This will give fillip to my consecutive numbers concept. If such is the case I can then avoid learning angular momentum and concentrate on consecutive numbers. And also concentrate on differential equations part)

(Rangoli made by my wife here in Delhi)