Tuesday, December 12, 2017

Mathematical Objectives


  • To defend the following series:-
  1. 1 + 1/4*2² + 1/3² + 1/4*4² + 1/5² + 1/4*6² + . . . . . . .
  2. 1 + 1/2*2 + 1/3 + 1/2*4 + 1/5 + 1/2*6 + . . . . . . 
  3. 1/2*1 + 1/4*2 + 1/6*3 + 1/8*4 + 1/10*5 + 1/12*6 + . . . . . . . 
  4. 1 - 1/2*3 + 1/5 - 1/2*7 + 1/9 - 1/2*11 + 1/13 + . . . . . . .
  • To get series expressions for √2, √3, √5, √6, √7, √8 & √10.
  • Work on Fourier mathematics.
  • Work on Ramanujan mathematics.
  • 1) leads to π/√6. 2) leads to √6. 3) leads to π/4. 4) leads to √3/2.
  • 4) is the #PythaShastri & Madhava of Sangamagrama mix.

Thursday, December 7, 2017

Contribution to Google blogs

I have a few ideas and enough to contribute to Google blogs. These are:-

  1. Straightening measuring behaviour equation. Inclusion of environmental impact.
  2. Further explanation of 3,2 to 4,5. 3,2 to 4,5 is symmetrical. Suppose 3 & 2 are -3 & -2. Then -3,-2 are at the same distance as +4,+5 ; if we take +1 as centre. I believe that the new potential is high.
  3. I want to work on Rapid Sketching; I want to develop different axes system; especially for rapid sketching.
  4. I have one more idea on railway station short story.

Friday, December 1, 2017

Bhusaval - A Short Story


Rajiv Rawat felt the slowing of the train. He was sitting in the upper berth of 3-tier AC coach with a book in his hand. The book was on palmistry and though he had no knowledge inherited or otherwise on the subject; he wanted to develop palmistry knowledge and impress women students in his engineering college.
Rajiv was a student of electronics engineering from Gramsabha Engineering College (GEC) at Mavle village, about 50kms from Pune.
He got down from his upper berth after keeping the book suitably in his bag. He requested his lower berth passenger to make room for him to sit.
The old man in the lower berth gave some space and said, "I am Rakesh Ahuja, retired from Railway Engineering Services. Are you an engineering student?"
Rajiv shyly nodded his head.
The old man continued,"Which college ?"
To this Rajiv answered,"GEC, Pune".
"Oh!!", muttered the old man looking a little shocked.
The train reached Bhusaval.
Rajiv was thinking and wondering how people could be so irrational. The old man possibly thought he was a government college engineering student and seemed to be pained by GEC. His friends took leave for a month or more and managed to get into government colleges. He was regular and rational and felt ashamed at irrationality of people. He did not feel shy of his society in Delhi for showing confidence in him and his skills and allowing education. Education is tough and here are people with irrational minds.
Just then a beggar boy with twisted legs entered the compartment and asked for alms. The beggar boy was crying profusely. Rajiv went near him and offered him a 500 rupee note. He told him, "People are all irrational. No one will pay money. Take this and beg no more."
The beggar boy said, "People are irrational !! No sir, people are cruel. I get hit in my legs everyday, if I do not beg. I will take your money. But I will beg also."
The train gave a whistle.

Monday, November 27, 2017

#PythaShastri efforts

What have I been upto? In these 6-7 days?

I did a few things in mathematical series. I managed to understand Madhava of Sangamagrama. He is truly great and I would have helped him and would have done "anything" for him. What I tried to decipher was what is written about him in Wikipedia.

I tried rational expressions for root 2 and root 3. But this is not happening. They are "very" irrational to me. Sir Andrew Wiles must be an expert in this area.

I do not want to venture into the rational expression for root 2 and root 3, in future.

I plan to re-learn calculus and apply myself on Laplace and Fourier. If time permits. I shall work hard tremendously and shall be methodical.

But I have other jobs in hand . . . . . . 

Wednesday, November 15, 2017

Gummidipundi - A Short Story


Father Cristello was standing in Gummidipundi railway station to catch the electric train to reach Chennai. The platform was empty and there were only a few people.
A man sitting in a train in adjacent track was playing with a ball. He was throwing the ball up and catching it. The man glanced at Father Cristello and shouted, "Keep observing me father. Me, the ball and the train. Please father, do observe." He waved at Father Cristello.
Father kept observing the man, the ball and the train. He shouted back," A parabola, a stationary you and a stationary train."
Suddenly, the train in which the man was throwing and catching the ball, moved. The man shouted,"Now father ?"
Father shouted back, "A parabola of the ball."
The man shouted back, " To me the ball came back. Isn't it amazing ?"
Father replied back,"Yeah, relativity. "
The man waved back at Father Cristello and shouted, "Have a nice day !!"

Tuesday, November 14, 2017

Itarsi - A Short Story



Gautam Adhikari looked up at the window from his 2nd AC berth in which he was lying. The train had really slowed down and he was curious to know the station, though he knew it must be Itarsi.
He was a frequent traveler in this route. He worked in Nagpur and his family was in Delhi. He was leaving Nagpur after a grueling six months of work. He took a fortnight's leave to meet his family in Delhi.
He realized he needed water and got down to fill his bottle with water. The queue was unusually large and he stood in it waiting for his chance. Finally, he got his chance and was able to fill the bottle with water. He turned back to approach his train and could not spot it. It had left !!
He did not panic. As he was confident of the route. It will take another 3-4 hours for the next train and he cared the least for his baggage. He can always buy shirts and trousers, anyway, he thought.
He looked out of the railway wall and saw a few military personnel playing volleyball in shorts and vests. He was a good player of volleyball and he thought of joining them to pass his time for a couple of hours.
He approached them and said, "May I join you in this game? I missed my train to Delhi and the next train is a couple of hours later. I am good in this game."
One of them, a little weak as compared to others, said,"Sorry. No way can you play with us."
Gautam said,"Fine then. I shall leave. Anyway let me sit here and watch you play. I like this game a lot."
Gautam sat in a corner and watched the soldiers play.
He was observing them play and was enjoying the game. Then a ball hit by one soldier, reached near him bouncing. As it reached near him, the ground on which the ball hit made a metallic sound. Then
there was a beep from the pocket of Gautam. Immediately the weak soldier ran towards him and with a rapid motion slashed a big knife at Gautam and killed him.
Gautam was happy that he is killed. He managed to whisper, "Mera Bharat Mahaan !!".
(Gautam was a software engineer in Nagpur working on nuclear projects. The beep came from a radioactive detecting hardware kept in his pocket!!)

Monday, November 13, 2017

Asansol - A Short Story


The train stopped at Asansol.
Raghav Mukherjee looked out of the window and saw the water tank. An old man was taking a bath from the water oozing through a hole in the tank. He seemed to be optimistic and contended. 
Raghav then had a glance at a young boy sitting near the water tank. The boy must be about 11 years old, Raghav thought. He was well dressed and seemed to be from a good family. But he was weeping. He seemed to have lost all hope.
Raghav was himself in a hopeless situation. He could not understand his B.Sc Maths subjects and was failing miserably. His father would beat him everyday and he had run away from his home in Kolkata to a destination which did not matter.
Raghav then had a brainwave. He thought of getting down at Asansol and figure out and help the little boy sitting and weeping near the tank.
He got out of the train and crossed the railway tracks to approach the boy.
Raghav offered the boy a candy and sat close to him. He enquired where was he from. And where are his parents.
The boy said, "I live in  Gariahat in Kolkata.  We were travelling in a train, coming back from a marriage in Mughal Sarai. My father, mother and I. I and father got down here to fill water. The train started moving and my father ran and entered the train. I was left behind."
Raghav then asked when did this happen, his father leaving him here.
The boy replied, "Five days back".
Raghav could not believe it. His father may have deliberately left the boy here in Asansol, who knows.
Raghav then asked for the address of his house in Kolkata and prepared to take the boy back to his home.
They reached Kolkatta in a few hours. Raghav then took an auto to Gariahat and reached the home of the boy.
The father of the boy showed no emotion on seeing the boy. The boys mother seemed to be a little relieved. 
Raghav did not ask anything. The boy's father did not say anything.
Raghav just waved goodbye to the boy and left.
Raghav thought to himself how people could be. They all seemed small and hollow.
Raghav saw a broom lying ahead of him astray in the pavement. He picked up the broom and told himself "I shall forget my graduation. I shall start a new life. I shall become a sweeper."