Sunday, November 26, 2023

A few lessons to me

Consider the following expressions 




I have used i, the complex number in both. 

One gives a simple cos(x) expressions.  While the other cosh(x). This is a discovery. 

Another point is, now I think I am in a position to get sigma integral equivalence for trigonometric and hyperbolic functions. 

Have a nice day!!

Saturday, November 25, 2023

These expressions too on 26th November 2023

These expressions are hereby presented on 27th November 2023. 


Have a nice day  !!

This expression on 26th November 2023

Special thanks to Wolfram alpha.  

I present this expression today. Like many of the earlier expressions this expression too is on e.

Have a nice day !!

Monday, November 20, 2023

Sunday, November 19, 2023

An engineer son of Allahabad Ganga valley farmer?

An engineer son of Allahabad Ganga valley farmer? Or an engineer son of Kumbakonam Cauvery delta farmer?

The mother of the would be bride needs to decide.

The father in me has decided.  Engineer son of Kumbakonam Cauvery delta farmer. The reason is focus. The Chola name.

Without focus you don't get to understand time. Without time you don't understand constants. Neither XML nor Apps.

I put forward to Google social mindset to decide. Who is more eligible bridegroom?

Friday, November 17, 2023

The story of e

The king had two sons. One of them was interested in the empire. The other was not. The son who was interested in the empire had two sons. One of these was interested in the kingdom the other was not. And so on the kingdom flourished.

1

1  0

1   0    0

1   0    0     0

1   0    0     0     0

. . . . . . . . . 

. . . . . . . . . 

The treasure cleaner had two sons. One of them was interested in the treasure. The other was not. The son who was interested in the treasure had two sons. One of these was interested in the treasure the other was not. And so on the treasure was safeguarded.

2

2  0

2   0    0

2   0    0     0

2   0    0     0     0

. . . . . . . . . 

. . . . . . . . . 

The brahmin of knowledge had two sons. One of them was interested in the knowledge. The other was not. The son who was interested in the knowledge had two sons. One of these was interested in the knowledge the other was not. And so on the knowledge was kept.

3

3  0

3   0    0

3   0    0     0

3   0    0     0     0

. . . . . . . . . 

. . . . . . . . . 

The song of the king is still sung because of the treasure cleaners chain and the brahman knowledge chain. The area the king has influence is the area maintained by the awe of the treasure and the hymns of the brahmans.

More of what I wish to say

 




I wish to state that I am able to show integral and sigma equivalence.  To the best of my knowledge only Parseval was able to demonstrate integral and sigma equivalence.


Have a nice day !!