Thank you World

 

I most sincerely thank the internet world for my new Wacom One Drawing Tablet with screen. It is my most precious possession till date. Bose 500, my pencils both colored and monochrome and my colored notebooks are the other precious items that I possess.

Wacom One is one great invention. And hats off guys. You people are just amazing.

Simply said a digital drawing tablet is 20 times more effective than using paper and pencils. Because of undo and layers in digital drawing. I am now 90 % familiar with the ins and outs of digital drawing and am extremely satisfied and comfortable working in Wacom One.

In paper and pencils, you can err. To err is human. But in Digital drawing accuracy is very very important. If you are one who likes being accurate, being proportional, being correct in light and shadows, being correct in colors; digital drawing is for you. 

Digital drawing is for me because I am more into being accurate and correct.

I shall try and make comics. "BEHAVO" is the title for the comics. This comic will teach young Indians correct behavior in a particular situation. But not immediately. It will take time. 

Have a nice day !!

Important results

I have been using ((mn+m-1)/(mn+m)-(mn-1)/(mn)) and ((mn+m)/(mn+m-1)-(mn)/(mn-1)) expressions. 

It is a great amount of surprise that these two fetch similar results but with a "phase difference".

Surely a case for research in India.  But I know the priorities of Indian bigs. They are okayish. 

Have a nice day!!

So there are three levels of freaks.

1. The to and fro in numbers sorts.

2. The to and fro in numbers begins from zero sorts.

3. The to and fro in numbers begins from zero and the zeroes are relative sorts.

Here is what I mean

Have a nice day !!

A 100% Edward Deming's chela

Edwards Deming is a quality guru. And I am his chela (hindi word for staunch follower).

I shall be using Edward Deming PDCA to try and improve the quality of my comic drawings. 

PDCA in action for human drawings 

PDCA in action for close up of human faces

PDCA using flowchart self questioning for background drawings. 

Have a nice day!!

Totally three expressions which may help in calculating partial sums

Now I have discovered two more expressions which can help in partial sums.

So all in all I have three expressions which help in calculating partial sums. So many infinite series are lot closer. And so is Jesus.

Intuitions and methods , both are now available to me. I feel good. 

Have a nice day !!

I have used the above partial sums formula to compute 1/2 from 1/3 terms. And also e.

I don't think our education system teaches beyond infinite Geometric series and Taylor series for infinite series.  

I feel very deeply that infinite series should be taught to class 11 and class 12 and BSc courses.  Partial sums methods should be used. Infinite series are the most predominant human thinking.  And not knowledge gaining. Because knowledge can be wrong.  But a convergent infinite series is not. Though I realize I am mixing philosophy with mathematics but I mean good. And am partially correct. 

By changing the plus operator inside the braces to multiplication symbol and restricting to k terms, we can get m to the power k. Not sigma from 1 to k of m to the power k when we have the plus operator. This is the Reimann Zeta functions for positive integers. 

A calculation towards the Basel problem 

And a calculation towards Apery's constant.

Similarly,  by changing the plus operator to multiplication operator in sigma 1 to k of m factorial we get only m factorial.

More on infinite series

I think I can get the Archimedes constant Pi and the Golden ratio completely with my understanding and my knowledge. I am now a master of these two constants.  These two expressions. 

Wolfram alpha is able to get convergent values of all convergent series. If it converges, you get a value they seem to be saying. 

Stephen Wolfram 

Have a nice day !!

My philosophies of life

My philosophy of life is to make equations for mindsets and lead a life with a precision following the equation. 

I believe focus of Indians is the biggest problem with us. Many say lack of confidence.  But lack of confidence is a personality trait.  What I mean is being focused will give results which are useful to all of us in general. While becoming confident is important only for you.

Improving guts is another important thing for men. But guts should be improved only when your focus is correct.

My formula mindset doesn't die and I believe I can give a formula for both. Focus. And guts.

Focus should be imbibed by following the shape of pi symbol.  Top horizontal line. Two vertical lines below the horizontal line. Horizontal line is what had been happening to you in past and what is happening to you. And one vertical line is what you want from what is happening.  And the other vertical line is what you don't want from what is happening. 

Guts can be improved also from pi. But not the symbol. But the philosophy of pi. There are negatives happening.  There are positives happening.  And you be at the centre. Digest the negatives . Use the positives. But be at the centre always. The faster and better you do these three more is your guts.

Guys tell me in comments below as to how you find my formula.  Is it useful? Do you have doubts? Or you find them wrong? Or dangerous?

Bolder and more accurate

I am moving towards more accuracy. With boldness. In mathematics,  in portraits and in practicing for comics.

Mathematics 

I realized one can get partial sum formula for three consecutive numbers and four consecutive numbers infinite series of my form. Convergence test I already had. Now partial sums formula.  This is very very big. This means also that I am of the Archimedes constant Pi. Absolutely. Because now I can get pi till as many digits as I want with my abilities. 

Portraits 

I realized that the limbs of my cosine hatching can be and should be varying and should be controlled.  I am practicing controlling cosine hatching.  Above is my latest practice. 

Comics

If I get a chance in a comic industry and the publishers agree to give me a lead time of 6 months I shall join the publishers as an artist.  For six months I can help filling balloons with script in English,  Hindi and Tamil. And I can get into the groove of the comic style of the publishers. But I realize I am old.