Migrants from Pakistan

Migrants from Pakistan were very simple people. They were kind hearted. They were friendly neighbors.

They would share food with us. They would watch TV with us.

I learnt to ride cycle because I was taught by an elder migrant from Pakistan. 😭😭😭

Those days in 1978, 79, 80 etc. I just cannot forget them.

The last few months

The last few months were different. Since September 2022 to April 2023. I was occupied with one particular thought most of the time.  The thought was of Ponniyin Selvan.  Yes, I am serious. 

I never heard of the book before September 2022. Of course I knew of Raja raja chola because he was a great king. But about the book, no. 

I slowly got into the groove of Ponniyin Selvan.  Why write Ponniyin Selvan? What is the story? Who are the main characters? Why were the cholas so great? etc. 

Then I saw the movie 'Ponniyin Selvan 1'. Then I saw 3 more times in OTT.  Then I understood some of the movie making techniques.  Then followed YouTube videos. It kept me rolling for 7 to 8 months.

Now I have seen 'Ponniyin Selvan 2' also.

And the great time like that of Olympics or Football World cup is over.

Now what?

I am planning to read the following books in my kindle reader.  I am making notes and have bought a notebook for it.

I also have plans to improve quality of my artwork in funny cartoons and portraits. 

Keep reading my blog posts.  And don't forget to have a nice day!!

My good wishes. 

My recent purchases

I am in Delhi currently.  I am more comfortable shopping in Delhi shops. I got the following from a stationery shop yesterday. 

Staedtler Mars Lumograph Drawing pencils.  Two normal Luxor black sketch pens. One Uniball 1mm black gel pen.

The Staedtler Mars Lumograph Drawing pencils contains 2 pencils each of 2B, 4B, 6B and 8B pencils.  And 1 pencil each of 2H, H, B and HB pencils. They will help me in monochrome portraits.  I will be using sharpeners with these pencils.  I made a mistake of using pencil sharpening knife with portraits drawing pencils earlier. Be it color or be it monochrome.  It is better to use sharpeners with portraits drawing pencils. Not pencils sharpening knife. For Staedtler Luna watercolor pencils pencils sharpening knife is okay as you need to apply and not make strokes.  Basically the question is whether you want the pencils sharp or blunt. Pencil sharpening knife is good for blunt pencils.

The black Luxor sketch pens will be handy in funny caricature of VIPs.

The Uniball 1mm gel pen will be great in funny cartoons drawing. 

Is my commissioned work feasible?

 I always was in the impression that I must have an alternate source of income. To feel secure. To get confidence.

In this context I thought a commissioned work in portrait drawing is feasible. But is it so?

A colored printout of an A4 sized portrait will cost Rs.10/-. Then, will a customer pay Rs.500/- for my portrait drawn with the help of technology? 

Here are some thoughts.

1. A printout is a mixture of the three basic colors. While a portrait drawn using my method is colored with property of light and property of water.

2. There is an element of artwork and a customer is expected to pay Rs.490/- extra for this.

3. It is possible to color the dresses and background with watercolor pencils, thereby increase the value of portrait drawn. For example, I suggest a light chocolate brown shirt and creamy yellow background for the below portrait of Nana Patekar.

4. I plan to suggest a number to the customer. This is because I am strong in numbers. And this suggested number will help the customer in better mental balance.  For example, I suggest constant e and the number 8 for the below portrait of Nana Patekar.

My good wishes to all my dear readers !!

Space Equations

Space equations are unlike normal equations. They are mainly mental and there is no pattern to them except that they make some sense.

Space equations teaches us the importance of gravitational field. 

The expressions are for fun. However it is no fun that astronauts live in Space.

Here are some writings. 

Technology - As I see it

"Man is born free but everywhere is in chains" - Jean-Jacques Rousseau 

Electrical Technology - It puts you inside a room. Fans, lights, TVs, air conditioners.

Automobiles - You are free. You can travel from Mumbai to Pune. Almost anywhere.

Steel - I believe it is about cooking and food. Many feel magnetic property of steel and this factor is important.. But steel is used in cars too. Sort of neutralized between electricity and automobiles. Food however seems appropriate to me. Steel is about food and cooking will not be liked by steel men in SAIL. But I believe this to be the truth behind steel.

Computers and mobiles - About man and woman themselves. It assists intelligence and augments the capacity of humans. This is likely to be less controversial.

What are your views?

Golden Ratio

There are three instances where I encountered the Golden Ratio, phi or φ in my life. 

They are

1. Drawing a pentagon

2. Prime number generator

and

3. This equation

If you have any questions or any points do comment below. I shall be only happy to try and say my viewpoint.

Have a great day and a happy weekend, dear blog readers !!

Farmers raise flag at Red Fort

 

The farmers raised flag on Red Fort the other day.

Would Shah Jahan be happy with that?

Indian PM Narendra Modi said that government is saddened by this.

I hope the matter gets mellowed down in the media.

Twelve things that inspire my mathematics

I am writing an autobiography of sorts. 

There are twelve things that inspire my mathematics. These are

1. e^t. There are three different models of thinking I have on e^t.

2. 1/t!. I have done practical exercises to demonstrate the importance of 1/t!.

3. n/(n+1). I obtained an infinite series on it. This was my first major infinite expression.

4. (n+1)/n. Measuring behavior thought came up in 2010. (n+1)/n was an outcome of Measuring behaviour and also infinite series.

5. Comb(2n,n). Outcome of measuring behaviour. Two things. Fairness and unfairness.

6. Continued fractions. Vilvam (bael) tree was close to my thinking. I tried to represent Vilvam tree in continued fractions.

7.  (mn+m-1)/(mn+m)-(mn-1)/(mn). This expresses 3 consecutive numbers and 4 consecutive numbers concept. And more.

8. Geometric constructions. I was able to construct a pentagon and heptadecagon with a compass and straight edge.

9. Change produces area. My dafli playing teaches me this. Unfortunately my rhythm in calculus is not as strong as my rhythms in beats.

10. y to 1/y. I have a strong conviction here. God made integers and Pythagoras law becomes evident to me in this thread of thought.

11. Infinite series. Measuring behavior for fairness was made in 2010. And the concept of infinite series got laid.

12. #PythaShastri mantras. These are numeric utterances which makes harmony. Many of my #PythaShastri mantras have fetched results.

I thought of sharing my deep thoughts. Have a nice day dear readers !!

Of Gauss's Constant G

I have belief in and fully in support of Gauss's constant G (0.8346 . . .)

There are three reasons for it.

First. 0.999 + (1/(root2 +1/(root3 +1/(root4 + . .  . is 1.8346 into 0.8346.

Second. root3/(root2+root5(root4+. . . .  is (9/8) into 0.8346 into 0.8346.

Third. My #PythaShastri mantra and my interpretation of Taylor series (for both general and special theory of relativity) together supports 0.8346. . .

Now look at this.

Wolfram results do not say it is Gauss's constant (G) in both the above cases.

I am indebted to Wolfram Alpha for making me a mathematician of sorts. But why don't they write it as G for above two cases ?

I firmly believe in Gauss and have full faith in Gauss's constant G. Gauss's constant is an undeniable truth of nature and life. 

What about you, dear readers ?

(My views - 0.8346 . . . is most certainly important.

 I am in India. I do not want to comment on this. 

Well when we talk of personality of mathematicians I have the deepest regards for Leonhard Euler. He is my god of sorts. 

And I find Niels Henrik Abel as most brilliant. A Diego Maradona of mathematics.)

My future Plan

The four consecutive numbers and the three consecutive numbers theory is over.

There is scope in solutions to quintic equations formed by four consecutive numbers and three consecutive numbers. Higher authorities need to think about it.

There is another topic. I wrote sigma of (number of destinations travelled by an office goer × significance of the destination) should equal the sigma of (number of pages written by an office goer × significance of the writing). There is scope in making complex functions with this idea. Legs and hands. The relationship. Higher authorities need to give it a thought.

If I look with "Insaaf ka tarazu"; "Haq mil raha hai". "Halka sa zyaada"."100 gram ya 200 gram zyaada". "Lekin unyay ?"

My world of mathematics

Eminent Indian mathematician Shri C S Seshadri passed away recently. He founded the Chennai Mathematical Institute. He is known for his work in algebraic geometry. He is also known for Seshadri constant and Seshadri- Narasimhan theory.

My own research on Rational Number Series is going on. There are some very good results. I am not making them public. For fear of plagiarism. Also I am improving my prowess on mathematical equations manipulations. I lacked this. But now I am improving.

I hope to go on my own. I shall learn from internet whatever possible and I am inspired for my intuitions.

Have a good day dear blog readers.

Honestly speaking

I feel like I am a Gauss in mathematics.
Carl Gauss was a very big name in mathematics. He made enormous contributions to the field of mathematics.
But one needs to introspect and try to do a right justice to oneself. And also my blog readers. Because my blog readers may be confused as to what I think of myself.

Ramanujan and Continued Fractions

Better-half

Better-half is an England English word. The concept of the perpendicular bisector is due to this. The perpendicular bisector can help divide a line into any number of parts, with set-squares which can be manufactured. Possibly parallel lines can be drawn by masters as the online software GeoGebra is able to. I got it. One tangent to two semi-circles which sit on the same floor.
Perpendicular bisector is one of the top concepts of the world.
I was able to trisect an angle. GeoGebra has a tool for polygons. Hence it is possible to trisect an angle too.

Gauss error function

Some Rational Ideas

1. n and 2n - n should be treated as π and 2n should be treated as π²  when one has to travel from finitely very big to infinity.
2. Simplest and hence perfect right triangle - The area of the simplest and hence perfect right triangle should be treated as zero, when one needs to prove theorems. This is my statement.
3. How many papers should an office-goer write? - This formula was developed to better rational thinking. One must choose the values of variables based on census of general populace without bias to say the least. Please refer to Number of pages to be written by office goers
4. Batthi logic -Batthi is a common jargon in SAIL. It's closest meaning in English is "outburst in anger with a sense of responsibility". Developing a logic for it is close to my thinking and I wish to make a formula for Batthi.(>, = , <; ceiling > floor for both positives and negatives). You have to trust your boss. And hope your absolute value is taken into consideration when issue is negative. Found a solution to Batthi. If the issue is negative and your absolute value is higher than your boss. You need not worry. You need to talk of accuracy. Something like "Where are you 100 percent correct sir?" or "The world is going much better and faster sir." etc. I hope you have got it.
5. Success of a committee - Two statements from the committee.
6. Wisdom - Wisdom is a bad word. Especially for young in heart people. It is like a young man shouting "I shall buy experience from a shop . . . ". Or an old man saying, " Nothing will change". A youngster is doomed !! I put forward this equation for Wisdom calculation.And that is Presence = Absence. Presence of me in Ranchi is absence of security for three young ladies at home in Delhi. (Or) Presence of an officer in office is absence of biscuits in canteen.(Or) My presence here in SAIL is absence of implementing my business plan.
7. Decimal point - Decimal point can be an irritating issue. "You are paying me 1 rupee while I have 10 million cells each wanting 1 rupee". Decimal point is a circle. 1,n squared, n cubed, n to the power of four etc. are of pi. But for n. However exercising max reps 10 times gives pi approximately. Belief in this point will give relief to irritation. If you believe that fingers are what you count with, then fine. Greater than 10? How? If you work hard and do 10 sets of max reps, then it is pi. But not in the case of n. So one can say work hard equivalent to 10 sets of max reps. then 1,10, n squared, n cubed, n to the power of four etc. all supports pi. This finishes suitably. And in a friendly manner. Databases and computer systems have ceiling and floor functions with scientific theories, axioms and lemmas backing them. So no problem in computer programs. One can argue this way too. Ceiling (LHS)= Ceiling( RHS). If asked to distribute 10 rupees among 3; then question how he obtained 10. This finishes.

My Concept of Past, Present and Future

Finalised caricature style

My Papers

I was deeply involved in mathematical thinking. Intensively from year 2000. And from 2010, I began to write. My expressions began to get better.
I decided to write papers since I was in Research and development. Many of the famed journals on mathematics in India rejected my papers. But JETIR accepted my papers. Special thanks to JETIR for it. So two papers I have already submitted and got published. Rational Number Series was published earlier. And Expressions for 1 got published yesterday.
The next one on "Expressions of combinations" shall be applied for getting published after two or three months.
Best wishes to all my blog readers on the eve of new year 2020.