Sunday, September 28, 2025

22/7

 


6 sectors + 5 lines = 11 units
0.5+1 sector+1 line +1 sector = 3.5 units


My Ranchi life time table

6 am to 8 am

Clip Studio Paint/ Adobe Bamboo Paper/Pencil2d 

Car cleaning 

9am to 6pm

Office work

5 PDCA of humans/2 PDCA of backgrounds 

Wolframalpha.com/Wikipedia for mathematics 

7 pm to 9 pm

Clip Studio Paint/Adobe Bamboo Paper/Pencil2d 

Saturday, September 27, 2025

Right foot, left foot and Right foot

Karan Johar with his wax statue 

Karan Johar reached Singapore by plane.

Karan Johar reached Madame Tussaud's wax museum by car.

Understanding the limits, he walked from the entrance of Madame Tussaud's museum to his wax statue by foot.

The decisive steps were then taken by Karan Johar when he reached very near his statue.  Right step forward. Left foot forward.  Then right step.

This is Fermat's last theorem. 2. And 3.

Right foot signifies your step. Left foot the nature following you.

Sir Andrew Wiles proved Fermat's last theorem.

Can I have Fermat's last theorem in the 'Palm of my hand' ?


Some recent questions

4.666, log equivalent of 4.666, one(x), zero(x) and gamma using 4.666 with golden ratio have been made. Do you think they can replace e, log, cos(x), sin(x), gamma of e, gamma of log ?

Most certainly not. In fact when I made 4.666 to the power (1/x), I followed the thoughts of e, log, cos(x), sin(x), gamma. Basically I have followed.  And I do not claim originality of my expressions. 

But you wrote in blog that people no longer have enthusiasm for e, log, cos, sin?

I was disgusted with two things.  Nehru's insult of Sengol. I am appalled at the illegal 1947 action of Nehru.  Mountbatten agreed to Cholas. And how come Nehru disobeyed.  Being from Kumbakonam area I said look Nehru Sengol should have been given respect. Cholas are definitely strong like my expressions and now you eat your actions.  Of course Modiji has restored the pride of Sengol. The second reason is being from private college I made the blog post thus because I failed many entrance exams. 

But you should not have made the blog post because . . . 

Democratically private education students are higher in numbers. Don't teach me. And don't reason with me.

Okay, okay. You say you want to get into 2d animation.  Can you draw and color 500-600 drawings?

Yes. I have stamina for drawing 2d animation.  And my coloring is bucket tool. I believe I can draw 400 to 500 colored frames for 2d animation. 

Are you an angry person by nature ?

Not really.  I generally forget and forgive.  

Let me ask you this. What areas of mathematics interests you?

Hypergeometry,  L functions,  digamma, Bessel, Pochhammer,  Dedekind, Limits, and the European mathematics. 

What areas of drawing art interests you?

Now it is 2d animation.  And black pencil, paper and objects in front. These two.

Good. Thanks. 

Thanks. 


Pencil2d

My requirements for 2d animation software were simple. I am alone. I want to tell stories.  I needed simple interface.

After some research over Google I liked pencil2d software a lot. It was free. It is open source software.  I downloaded pencil2d software. It can probably be used for many many frames.

Pencil2d logo

I want to be in 2d animation.  I have changed from comic aims to 2d animation aim. Because  only PDCA practices are enough.  Backgrounds can be simple. Also I have years of exposure to funny cartoons and my artwork can be similar.

Have a great weekend. 


Friday, September 26, 2025

Constant e reached closer to 4.666 using golden ratios

Constant e is reached closer to 4.666. Using 1.61803 and 0.61803. And only 1.61803 and 0.61803. No 2,3,4 etc.

Till 13 places. This is enough to calculate factorials upto 50000.

Here is the screenshot for explanation. 

Using 2.61803 too

Enjoy your weekend,  guys. I shall do animation in Clip Studio Paint, this Saturday and Sunday.  But only 24 animation cels or 3 seconds allowed in Clip Studio Paint pro. So I can't make animated stories. Presently. 

Thursday, September 25, 2025

Revised Gamma Function

 The Wolfram results




The gamma function (approximate) typed in MS Word

One can also write above in the below fashion.


I must state the following here

1. I do not want to make fun of phi. 1.61803 is used because the pairs 1.61803 and 0.61803 form a similar pattern to consecutive numbers n and (n+1).

2. I am no expert in integrals. I just replace the sigma with integrals. Sigma are of steps of 1. Integrals are continuous.

Have a nice day !!