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.

Have a nice day !!

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)

Indian mathematicians from recent past

Madhava of Sangamagrama,  Ramanujan and Harishchandra. 

Madhava of Sangamagrama is my favorite.  I have nuptial bondage with his thoughts.  He was simple. But he was sure. He was less. But conveyed more. He and Leibniz have a pi by 4 formula. 

Ramanujan had great intuitions.  He was fearless and was sure. He took steps believing in his intuitions,  capacity and in his Vaishnava Lord which guided him. British mathematicians had to consider him as India was ruled by them. Many people think his mathematics base is bogus.  No. I am not with them. Lakshmi consort of Vishnu is goddess of wealth. And wealth are numbers. He must have been good in numbers and most just put him off without reason.

Harishchandra had a dream. To bring mathematics to effort that people put in. A Nehru thought process probably.  It was quite disappointing that he missed winning any prize of distinction. 

I am able to "see" the time,  the light,  the field and the groups. Need to "see" the angular momentum, the differential equations,  the quantum working. I "hope" and "wish" to build my partial differential equations of perfection and as per the Lord's wishes.

Basically the way of a,b,c and z in the hypergeometric functions. So as I see. So as I understand. 

My best wishes.  And have a nice weekend ahead.

Expressions on 10th November 2023

 

Have a nice day !!

Expression on 9th November 2023

 

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Expressions on 8th November 2023

 

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Kindle book on hypergeometric functions

The cost of the kindle book

The book

My kindle library 

It was necessary to get the kindle book. Because the atmosphere in township of RDCIS is more for hypergeometric functions than my hopes of becoming a comic artist.  Another reason is #Pythashastri,  1,x,x squared,  x cubed.  . . model of mine which is close to hypergeometric distribution and functions. 

I shall spread the expression of the type a^n by combination (bn,cn) summed up from 1 to infinity and allow to be banged by its equivalence to hypergeometric functions. 

Hypergeometric functions are likely to be easy for me. Just like learning advanced calculus to an IITian.

Have a nice day !!