Friday, November 10, 2023

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 !!

Tuesday, November 7, 2023

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 !!

Saturday, November 4, 2023

This too has pattern

 One of the surprising results I got was of golden ratio and pi equivalence.  Philosophically both are ratios. One equally and the other on God's proportion. 

The difference between the golden ratio and pi expressions was 2 into 3 factorial by 5 factorial.  Which is 1 by combination (5,2).

I decided to use combination (5n,2n) and explore more.

Here are the results. 





As you can see, the patterns are simply amazing.  There is a clear one line pattern difference in them. Is it not amazing?

Hypergeometric functions are of John Wallis. My first pi algorithm was of John Wallis. Measuring Behavior.  Now I am able to show patterns in his Hypergeometric functions. 

John Wallis 


I have taken a printout of the above and have kept in my office drawer.

Have a nice day !!

Wednesday, November 1, 2023

Journey towards becoming a comic artist - 6

You may be aware that I am using PDCA technology to improve comic drawing quality. 

I was doing three sets namely hands, human figures and objects in my PDCA cycle in one day. This I did for three days. And continued like this.

Now I have changed my strategy. Now I plan to do hands on one day; human figures the next; and objects the third day. All using PDCA cycle and to be continued every three days. I have termed this "focused " PDCA cycle. 

So "focused " PDCA cycle is what is new in my approach towards comic drawing practices.  I thought this might be important and decided to share with you all.

"Focused " PDCA cycle from now onwards.  Have a nice day!!