Wednesday, February 18, 2026

I wish I . . . .

 . . . got an access to mathematical journals and books. I would have studied Gauss, Abel, Wallis and GHHardy.  

. . . were to concentrate on 2d animation without my salary being cut for my drawings and my stamina suits 2d animation. Not comics, actually. 

. . . had contacted Homi Mullan. I could have made into music industry. 



These questions are asked now

I have seen the KAAL expressions.  KAAL expressions do not have practical applications.  Can you tell me any one practical application?

With e^x, sin(x) and cos(x) you took external steps. The external nnumber system.  You took a ruler, you took a sextant,  you understood external magnetism.  You did engineering.  You did technology. While with KAAL number you put the focus inwards. You do a sigma of numbers and raise it to one less the number. You do 2n factorial and maintain and divide these two . You get 4.53946 to the power (1/x). Then you see one(x) and zero (x). Whether these two add up to 4.53946 to the power (1/x). If they are Then you are in right track.This is point 1. Then there is 4.53946 to the power (1/x) and 4.53946 to the power (1/-x). These two are nearly same. This is lesson 2. There are two mind focusing lessons from KAAL numbers.

You expect us to use these as a mind trainer. Hopeless,  let me tell you.

You guys never used ruler/scale ever . And that is more worthless. My KAAL number may be Hopeless. But you always have been worthless.

Don't use bad words.

You only started by saying Hopeless. My KAAL number can be helpful in this AI age. Such a mind training may be essential.  Tomorrow you never know where the world will go. Build yourself up by KAAL number expressions.  Face AI world. At least now India should arise. And accept KAAL number expressions. 

Ohh. I didn't see that. The AI coming up fast. Maybe KAAL number has advantages.  Thanks.

Thanks. 

Tuesday, February 17, 2026

Unable to mix DMAIC and PDCA

You may be aware that I have finalized my drawing art improvement plans. And the finalized plan is

But then the plan was not working well. I couldn't understand why.

Then I realized that things were not working because I was mixing PDCA with DMAIC.  

I am going to exclusively focus on DMAIC for the next 3 months.

So for the next 3 months my drawing practices shall be

1. Drawing exercises  2. Only the DMAIC part. Not PDCA. 

Let me clarify the difference between DMAIC and PDCA practices in drawing. 

DMAIC is for man made objects. DMAIC involves measurement. 

PDCA is for human poses improvement. 

Have a nice day , sirs !!

Monday, February 16, 2026

More on KAAL number

Is KAAL number to the power(1/x) equals one(x) plus zero(x)? If yes, in what way ? Remember,  we had i in e^x = cos(x)+i*sin(x).





KAAL number works for both positives and negatives. 

+2026





-2026





KAAL number is (Kirtivasan,  Abhaya,  Akshaya, Lata) number. It is of India, Google.

Have a nice day !!

Friday, February 13, 2026

Here are some questions asked now

You have done KAAL number and have stated it is only 3.14% as good as e^x. How did you calculate 3.14%?

This is my way of thinking.  KAAL number is a little good. Also I have expressions in pi. Now e^x, sin(x), cos(x) etc. are magnificent series. My series is not so good. But at the same time I have done pi expressions.  So I said 3.14%, so that I am considered low in value and at the same time respect is given to me for my pi. That's why I said 3.14%.

This is not correct way of thinking and saying and writing. Mind your ways. Say 5% or something. 

Most of the comparisons are likely to be infinite series.  Even smaller things like rotation of thumb are infinite series.  If I use 3.14%, where am I wrong.

No, you will say 5₹ or 10%. Not 3.14%.

You guys never used ruler/scale. You guys think complex number is inside you. You guys feel actions and reactions are inside you. Where are you guys correct? And now you ask me to put 5% or 10%?

You must accept defeat. 5% or 10% are correct. Say 5% or 10% of value as compared to e^x, sin(x), cos(x). 

Okay sir. 3.33%. Not 3.14%.

Okay. 3.33%. Thanks.

Thanks.

Thursday, February 12, 2026

The KAAL number

The KAAL number stands for (Kirtivasan, Abhaya, Akshaya, Lata) number.

Is KAAL number 4.666? Is KAAL number 4.6?

KAAL number is 4.53946.

Example 1






Example 2





It is only 3.33% as good as e^x. I agree.

These expressions lead to one(x) and zero(x) functions.

These functions give us gamma in integrals.

These functions demonstrate the string theory.

I have written about these in my earlier blog posts.

I have written a paper too in JETIR. Titled ' 4.666 based expressions'.

I have used Wolfram Alpha to check for n from 22 to 10 digit numbers. All the 3 give appropriate results. As these are of counting with fingers thing; I did not check further.

But e^x are all of ruler/scale. These give absolutely accurate results. While the above give approximate results.

Have a nice day !!



Sigma Product Equivalence

The following below gives the sigma product equivalence of Madhava's pi by 4 and the Basel Problem

Madhava's pi by 4 was sigma of minus one raised to n by 2n plus 1 all added up from 0 to infinity.

Basel problem was sigma of one by n squared all added up from 1 to infinity. Basel Problem resulted in pi squared by 6.


To have made a product equivalence is no intention to belittle the original sigma series. Most certainly not. The intention is to make the user aware of the vastness of mathematics. And encourage them to use their imagination. And to encourage them to use consecutive number model.

Have a nice weekend guys. Let us enjoy this weekend and get prepared to face a new week ahead.