#PythaShastri Possibly Eyes

#PythaShastri Possibly Eyes.
Result is:

Puzzle

Raghuvar can write 11 pages at a stretch. The maximum he can at one go.
How many pages can his teacher demand in one day at school?
(Assume Raghuvar is in a disciplined school).

#PythaShastri Calculus?

#PythaShastri calculus?
Differentiation.
Integration.
Results are :

It is not clear. Differentiation is an event. And integration is reverse of it. Fourier?

#PythaShastri perfect running and otherwise

#PythaShastri perfect running and otherwise.
Results are:

#PythaShastri severity leg fracture theory

#PythaShastri severity leg fracture theory
Results are

#PythaShastri apologies to Lord Hanuman

#PythaShastri apologies to Lord Hanuman.
Let legs be balanced.
Let there be head.
Series diverges.
Let there be tail.
Series converges and result in pi squared terms.

Jai Shri Hanuman !! Forgive me for calling mokey.

Ramanujan and log natural by #PythaShastri

Statements may need citation from experts. My intention is to write my knowledge in a way a layman will understand.
India was great in mathematical endeavours.
Madhava of Sangamagrama brought the negative terms in infinite series.
With that we began to think that infinity is not just a very very big number; but 3.14......... is also infinite.
Madhava of Sangamagrama gave many more outstanding results too. Sines, Cosines and also errors in series. Errors in series I think is about divergence of series. Anyway he did sines and cosines too. He gave more meaning to reciprocals and their significance; as I would like to describe.
Ramanujan was highly self learnt and a genius and hard working too.
He put log natural and square root of log natural in reciprocals and got for India two constants. Ramanujan-Soldner constant and Landau-Ramanujan constant.
He left 3900 or more ideas for Indians to work on. He wanted Indians to contribute in his work and keep moving ahead. That was his last wish to his wife Janaki.
How much Indians have utilised his wealth of knowledge is a point to ponder.
I blame no one.

#PythaShastri Swimming theory

Head is important.
Head controls legs only.
I have gynecomastia. 50 percent. Hairy.
So swimming is of complex numbers.
Results show thus.

#PythaShastri walking is rational and running can create history

Results are:

#PythaShastri nearby crests hands and reality feet mantra

#PythaShastri mantra 1,3,4;1,10.
Result is

Others and #PythaShastri on human limbs

Others say

#PythaShastri say

Your opinions? Otherwise everything is going great. All are happy.

#PythaShastri equation

Consider two stationary hands.
Result is

I shall be writing on this as and when I get realisation.

#PythaShastri Exceed 10 is nature approved

#PythaShastri mantra 1,2,3,10,11.
Result is

In first 10 and 11 are in numerator. 1,2,3 are in denominator.
In second 10 and 11 are in denominator, so to speak.
These are part of my mathematical beauty expressions.

#PythaShastri approves two crests count

#PythaShastri mantra is 1,3,4,9,10. 1,2,3,4,5.
Result is

n is 5. In 1,3,4,9,10.

#PythaShastri approves zero as rational number

#PythaShastri mantra 1,3,4,5 and 1,2,3,4,5.
Result is

n is 5. In 1,3,4,5.

Puzzle

Gaurav Natekar was the chief of finance in Inrubber Carbon Limited.
Naresh Shah was the CEO of Inrubber Carbon Limited apart from other companies.
Yug Veer was Manager of finance working under  Gaurav Natekar.
The birthday anniversary of the 10 year old son of Naresh Shah was approaching.
Gaurav Natekar gives Rs. 1000 to Yug Veer and says that Yug Veer has to ensure that Inrubber Carbon is able to make an impressive representation in the birthday party.
Options and expenses that come to my mind are:
Decoration for party 750 rupees
Cake for party 1000 rupees
Chips and soft drinks for party 1000 rupees
Balloon and dart game 500 rupees
Gift for birthday boy 1000 rupees
What should Yug Veer do?

#PythaShastri approves counting of crests as rational

#PythaShastri mantra 1,3,4,10 and 1,2,3,4.
Results are :

n=4 considering 1,3,4,10.

Puzzle

Srini was an average programmer. He had clarity in financial applications though. He was employed in Relevant Technologies Limited. The CEO of Relevant Technologies Limited was Hari Hara Machi.
Srini could handle all the tough conditions like time balance sheet, order of merit etc. but was an average programmer.
Hari Hara Machi calls Srini and says he will review the output of his programs once in six months.
How should Srini respond?

Puzzle

Rehmat Nawab brought a briefcase filled with bundles of notes. He was chief financial officer in a reputed firm.
He calls his junior Gautam and says that his briefcase has 15 500 rupees bundles; 10 100 rupees bundles; 12 50 rupees bundles and 17 10 rupees bundles.
Rahmat asks Gautam to take as many bundles as he wants. Rahmat has bona fide intentions.
What should Gautam do?

Madhava of Sangamagrama and #PythaShastri

What I call as Madhava of Sangamagrama and #PythaShastri equation is below:

Puzzle

Thapar was the chief financial officer in Cure It pharmacy company.
Yaqub was manager of finance in the same company.
Thapar calls Yaqub and asks him to get a briefcase from a man wearing olive colored trousers and who will be standing near Qutab Minar entrance.
Thapar says that the passcode to whisper to the man is "Kuch paya kuch khoya".
Thapar asks Yaqub what he wants a passcode to be. Yaqub says " Chidiya kabootar ped mein hain".
Thapar says it's fine and he may proceed.
What immediate step Yaqub needs to do before proceeding?

Jesus and Shiva

√2 by Wikipedia, #PythaShastri and emathhelp

I discovered so I write

If
 x = 2+2+2+2+2+2
and
y=1+1+1
then if I make a statement y is the square root of x, then I am talking in terms of infinite series. Hope you have understood.

Puzzle

Rajesh earns 50,000 per month.

He spends 10000 on rent every month.

He spends 5000 on food every month.

He spends 3000 on children education every month.

He spends 1000 on tobacco and alcohol every month.

He has desires like buying a home etc. worth 2000000.

He needs 150000 for retired life.

One fine day he was given a blank cheque by his boss with bona fide intentions.

How much amount should he write? Or should he refuse to accept?

#PythaShastri betting on rational limbs in a right triangle

If a right triangle exists. The two sides are rational to each other. a/b = p/q where q is not zero. a and b are the two sides forming 90 degrees.
How about this?

Puzzle

Rahmat Baksh came to the office with a briefcase filled with bundles of 500 rupee notes.
Rahmat Baksh was the chief financial officer in Dharuhera Distilleries Ltd.
He called his junior Lucky Singh who was finance manager in Dharuhera Distilleries Ltd.
Lucky came in. Rahmat opened the briefcase and showed it to Lucky. Rahmat then said all the bundles are of 500 rupee notes but one bundle. That bundle has a 50 rupee note and 99 500 rupee notes. If you can find that bundle in 1 minute, then the briefcase and all its money are yours.

Puzzle

Atul Bhatia was chief in finance at Carbo Erant & Co.
He gives 500 rupees to Karthick , Farhan , Jose , Sukhdev  to do good for Carbo Erant Co.
What is the best strategy for Karthick , Farhan , Jose  and Sukhdev ?

Puzzle

Tarun Gupta was the finance chief of Automata Corp.
He has two managers under him. Rajeev Saxena and Uday Parihar.
Rajeev Saxena was a brilliant chartered accountant.
Uday Parihar was a financial genius from the most reputed institute.
Rajeev and Uday were asked to give sales figures of last three months by Tarun. Tarun gave them a deadline.
Who can give the correct sales figure?

#PythaShastri 1/2 significance

1/2 is about 1. And a rationality of division.
Why not 1/0? It is irrational . So what? Is not e irrational?
One can reach infinity by 1/0.1 or 1/ 0.01 or 1/ 0.001 etc. Why no research by Aryabhata? Madhava may have asked.
Probably they want us to accept that 1×0.1 is 0.1 and so forth. 

#PythaShastri and Rational Numbers

Madhava of Sangamagrama gave

π/4 = 1- 1/3 + 1/5 - 1/7 + . . . . . . . 

#PythaShastri gave

π/4 = 10/12 - 1/3.5 + 1/5.7 – 1/7.9 + 1/9.11 - . . . . . . .

What I did was multiply 3 of the Madhava of Sangamagrama with 5. 5 with 7. 7 with 9 and so on.

Well, both result in π/4, but with a difference. In #PythaShastri expression, there is a rational number 10/12.

If multiplication is rational, then division is rational too. So, the above two expressions seem to be saying.

I did conscience into quality. Here, conscience into quality is vague as conscience is vague and so is quality. There is no loss.

But several management models have numbers which are based on judgement. You are giving sanctity to rational numbers, then. 

#PythaShastri and 1/n

1 to 2. The rise is 2-1/1.
2 to 3. The rise is 3-2/2.
3 to 4. The rise is 4-3/3.
There are two points to ponder
One there is a feel that 2-1/1 is equal to 3-2/2 which in turn is equal to 4-3/3.
Two this could go on forever.
The above two clearly authorizes 1/n stuff.
And I with Wolfram widget have reached euler expression.
What further can be done?
Pi/4 = 1 - 1/3 + 1/5 - 1/7 + . . . (Madhava of Sangamagrama)
Pi/(3 × square root 3) = 1 - 1/3 - 1/4 + 1/6 + 1/7 - . . (# PythaShastri)
4 and 3 × square root 3 shifted by - and number placements. A matter of Indian research?
Pure Indian wind it is.

#PythaShastri and khuda na khasta

Khuda na khasta #PythaShastri fails.
There are expressions where it seems d/dn(n!)=e/pi. How to proceed? Your body! Your brain!
Logic.
There were pi squared terms to. But only e terms. No e squared.
So it means d/dn(n!)=e/pi and sometimes e/ (pi squared).
By these sort of interpretations and deductions it seems that
e^(i × theta) = cos(theta)+i× sin(theta).
Leonhard Euler it is.

Complex Numbers contd. . .

What are complex numbers? Can you give an analogy?
Money involved here. As the explanation can be quite expensive. Ambani is not sitting idle just to thwart flies.
Any way, I will give.
2 = 1 + (i squared) 1. Doubling is natural. When you break it becomes two.
And so 4 = 2 + (i squared) 2.
i squared in both the above is +1.
Consider, i squared as -1. Let us see what happens. This is risky. But a calculated one. On the strength of my education am I taking this risk.
So,
2 = 1 + (i squared) 1. Is that true No it isn't. Because 2 is not equal to zero. It may hurt dvaita philosophers, but not advaita philosophers. They may say 2 is indeed zero. There is no two.
So, what happens when i squared is -1 is that philosophy of one two arises.
Mathematicians thought, let us not waste time. Let us make i squared equal to -1. It will not be wrong also as i squared equal to +1 already exists.
So they decided on complex number i.

Magudanchavadi - A Short Story

Sekhar was trying to get some sleep in his berth in 2nd AC. He was on his way to visit a retired professor who was known to be staying in a place which the train will reach the next morning. It was evening 8 pm and Sekhar had nothing better to do. But try and relax.
Sekhar was a post graduate student in Physics. He was pursuing particle physics and was brilliant in it. The retired professor he wanted to meet was an expert in relativity and was acknowledged to have better theories than even Einstein. The retired professor was ignored by most of the Indian scientists and professors and was leading a sad life in one corner of a place. A place Sekhar was about to visit. He came to know the retired professor was staying at that particular place from a magazine which carried the article of the dejected retired professor.
Sekhar was brilliant in particle physics. He always stood second in his exams. The first position went to Tarun who was hard working and had great memory power. He never blamed Tarun for anything. He did not criticise him for using memory rather than inspiration and methods. Sekhar prided in being balanced and was supportive of even his rivals. Sekhar told himself, Tarun has his own methods of studying; I have my own; Both matters and both are following their  own ways.
Sekhar had a friend in Yakub. Yakub was a school friend of Sekhar. Yakub made it big in Gulf. He had his own business and was earning in crores. Sekhar's father would often compare Sekhar with Yakub. He would say how practical Yakub is and he made crores of money while Sekhar was pursuing theories. Sekhar refused to learn a lesson from his father. He maintained that Yakub is fine in his own way. And he is fine in his own way. Both matters and both are following their own ways.
Robert was another schoolmate of Sekhar and he made it big in pop music. Robert was young and his songs were continuously in the top charts for the last five years. Sekhar's sister would often tease Sekhar and would compare Sekhar with Robert. Sekhar did not allow himself to be affected by this comparison. He maintained that Robert is fine in his own way. And he is in his own way. Both matters and both are following their own ways.
Sekhar was thinking deeply in all these issues. He felt that the AC was not effective. But then he told himself, that's how it is. He felt that the train was slow. But then he told himself, that's how the trains move here. The food was cold. But then, he cannot expect steaming hot curries and rotis in train.
Suddenly the train stopped. Possibly for signal. Sekhar looked out of the window. It was Magudanchavadi. A small village or town.
Sekhar decided to get down and breathe in natural air. He got up from his berth and moved towards the door. There was a railway police personnel who stopped him. The railway police personnel was rather harsh and told Sekhar that he must be mad to get down here for the train will move any instant.
Sekhar was hurt by the word mad. But then he remembered. He was mildly schizophrenic and was taking medicines for it.
He went back to his berth. He opened his bag. He took out a tablet and popped in his mouth and drank water. Then, he decided.
Sekhar decided that he will not meet the dejected retired professor. There was no point. He will instead get down at the next big station. And return back to college. He promised himself that he will get well.
The railway police personnel at Magudanchavadi had saved him !!