Chapter 4 Photographic memory, Tesla, Einstein and Srinivasa Ramanujan

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Photographic Memory

So far, I have met 4 people who has the gift of photographic memory.

  • 3 females and 1 male.
  • All of different races.
  • 1 with high school education, 2 pursuing college and 1 completed college when I met them.

These people have a gift of using much more of their brain than the normal humans.  They can remember exactly everything they see or hear the first time it happens. I am jealous! I want this gift.

They say that all they need to do is to listen to the teacher/professor and they really don’t have to study.  They get straight “A”s in every test.

The strange thing is one person got hit by a car as a child and she gained photographic memory afterwards. Another person got hit by a car as a young adult and actually lost some photographic memory.  I did not think it was possible to gain photographic memory after you were born. Maybe scientists can figure out how to turn-on photographic memory for everyone?  Maybe?

I decided to test the IQ level of the photographic memory of person I worked with one day.  She had a high school education;

She did good work with no errors always and she would always finish what work her boss gave her very quickly and then get on Facebook and Instagram on her phone for the rest of the day unless the Boss actually checked up on her.

Also, one day when I was teaching class about the new computer system at work, she sat in the front of my class but was on her phone the whole time. But at the end of my class there were some questions I got from the audience, and she was able to answer the people’s question before I could answer, even though she was not really paying attention but rather on Facebook most of the time.

So, her IQ test results came out to be somewhere around 140 to 150 which is very close to Einstein’s score of 160!

Wow! I have seen that she had photographic memory, but I had no idea how IQ played into photographic memory? I myself had had a score of 127 which was rated at Master’s Degree Level.  Which is directly related to what I was at that time. So, my score was normal to my situation? She should have had a score of around 115 which is the average for high school students and not 140 – 150.


Please remember that the IQ level is a combination of;

  1. what you are born with +
  2. who you are surrounded by +
  3. how you challenge yourself like education, hobbies and job types.


So, I then tested two of my direct reports at work. One lady with High School education scored almost to my level at around 120 (I always saw her as very smart) and one lady scored below 90 which was below high school level.  I knew she was lower but didn’t realize how low.

  1. Dr. Evangelos Katsioulis is the founder of the World Intelligence Network (WIN), an international organization of high IQ societies. He had an IQ level of 205 on Stanford-Binet scale as a teenager. As an adult, Dr. Katsioulis’ IQ level was measured to be 198 (according to the 2012 record). This is the highest IQ level ever measured in the world. The intelligence of this Greek physician and psychiatrist is considered unrivaled in various fields.
  2. Richard G. Rosner, fondly known as Rick Rosner, is an American television writer. He took more than 30 IQ tests and scored between 192 and 198.
  3. Garry Kimovich Kasparov, a Russian chess grandmaster, has an IQ level of 194.
  4. Philip Emeagwali is a Nigerian-born engineer, computer scientist, mathematician, and geologist with an IQ score of 190.
  5. Mislav Predavec, a Croatian mathematics professor, has an IQ of 190.
If you now feel challenged, feel free to take a 15 minute IQ test => http://studymaster.org/iq_test.php

Now don’t go crazy worrying about IQ scores because while Einstein, who was an absolute genius had an IQ of only 160, there were several people with IQ’s far greater than Einstein but did not achieve the greatness of Einstein in my opinion. See below these people with IQ’s far greater than Einstein’s


But in the end, the IQ level and photographic memory is normal human capability. I just added it as something interesting to know about.

 

 

Nikola Tesla

Born July 9/10, 1856, Smiljan, Austrian Empire [now in Croatia] - died January 7, 1943, New York, New York. I would consider Tesla and Einstein and Srinivasa as superhuman genius’.

Tesla was fluent in 8 different languages: Serbo-Croatian, English, Czech, German, French, Hungarian, Italian and Latin.

Your everyday life today has something to thank Tesla for;

  1. Electricity generation – Power plants and the electricity transmission
  2. Transmitting electricity through the air – Cellphones, radio and TV (via antennae)
  3. Transformers and motors
  4. Telegraph
  5. And many more
Tesla had seen DC power (like your battery) working with a motor and generator when he was working for Thomas Edison (in New York you get your bill from ConEd?), where Thomas Edison was working to supply Manhattan (with funding from JP Morgan) with DC power. 

Unfortunately, DC power does not go very far, just a couple of miles.  You can only imagine having DC power plants every 10 miles all over the country? This would never work.

Tesla’s idea of AC power is what the entire world uses for the last 100 years with cables running hundreds of miles from the electric Power Plants.

The first electric power plant was built at Niagara Falls in 1896 with Tesla’s designs to power Manhattan!

Sidenote: Tesla believed in his AC power so much that he actually gave up his patent on AC power generation and transmission to George Westinghouse for free. You can imagine Tesla could have been a Billionaire if he kept his patent. (Since the whole world uses electricity)

Tesla also designed a way to code information into electric power and to send electricity airborne which is how you get your cellphone and radio to work.

Tesla also invented;

  1. The first remote controlled boat in 1898.
  2. X-Rays and neon lights.
  3. He discovered a resonant frequency of our Planet Earth (which was something like 8Hz or 10Hz) which he could use to send electricity through the ground (no ugly wires on the streets) to power up homes. He lit up lamps for 25 miles without wires in Colorado.

Tesla gained the confidence of JP Morgan and sold some of his patents to get funding to build a laboratory in Shoreham, Long Island, NY. (Wardenclyffe Tower)

He expected to provide worldwide communication, and to furnish facilities for sending pictures, messages, weather warnings, and stock reports all 100 years ago. The project was abandoned because of a financial panic, labour troubles, and JP Morgan’s withdrawal of support. It was Tesla’s greatest defeat. (about 100 years before it actually happened – of which we now call it the internet?)


Now the good part…….

When Tesla told JP Morgan he was excited to help the world by giving free electricity to the world without wires, JP Morgan was not happy. Cannot bill the customers so No Profit for JP Morgan!

So mysteriously one day Tesla’s laboratory in Long Island that housed all his test equipment and years of notes, test results etc.. caught on fire and burned down. With Tesla’s gift here of retention of his memory, Tesla rewrote all his notes from many years of testing and rebuilt many of his test apparatus’. His Photographic Memory was way beyond a normal persons’ memory.

Tesla would say that many of his ideas and the answers would come to him when he slept?  So answers to things no one has ever thought-of and no one has ever created were already in Tesla’s brain? Maybe?

Tesla said; “If you only knew the magnificence of the 3, 6, and 9, then you would have a key to the universe.”

  • Tesla manifested his obsession in numerous ways. He would walk three times around the block before entering the building. Tesla would wash his dishes with 18 napkins (18 is divisible by 9, 6, and 3). The inventor would also only stay in hotel rooms that had a room number divisible by three.
  • The Sumerians on the other hand, in Iraq 6,000 – 10,000 years ago had an obsession with the number 60. 60 is divisible by 3 and 6? Not sure if there is any correlation.
  • At the end of his life, Tesla bounced between cheap hotels. And he died in room #3327 (divisible by 3). Tesla died a broke man when he should have been a billionaire.
  • The US government confiscated all of Tesla’s notes and experiments upon his death and till today many of Tesla’s notes are redacted or set at “Classified” level. We don’t know what the government has?

Sidenote: While Tesla and Marconi both were developing the radio and the wireless telegraph, it was Marconi who was awarded the patent for both inventions. Tesla was confident with his inventions that he said this about Marconi;  "... Marconi is a good fellow. Let him continue. He is using 17 of my patents..."

  1. Amar G Bose – Professor at MIT and the founder of the Bose stereo system. (Was my hero…. LOL)
  2. Jagadish Chandra Bose: Developed the radio and wireless telegraph.
  3. SN Bose: The famous Bose-Einstein (B-E) statistics in quantum mechanics.
  4. Bose is also a German name found in Saxony. (Not sure what is the correlation here)


Now a little known fact though is that while Tesla and Marconi both developed wireless transmission of Radio and Telegraph and Marconi gets the recognition, a lesser known person Jagadish Chandra Bose in India was also developing wireless communication in the 1890s.

Sidenote: It is interesting how the Bose last name must have a superior DNA or something because there are several people with the last name Bose in India with amazing achievements in science;








Wolfgang Amadeus Mozart

I thought it would be fun to add Mozart to this article. Mozart was born in 1756 and died 1791. Mozart grew up in the Classical period for music (1750 – 1820). Art and building designs also follow the music’s development periods.

  1. At age 4, Mozart was able to play short musical pieces with the Clavier flawlessly.
  2. At age 5, Mozart started composing small pieces of music with his father writing down the music notes.
  3. At age 6, Mozart was playing music at the Imperial Courts in Vienna and Prague.
  4. At age 8, Mozart wrote his first Symphony! Still transcribed by his father. What is important here is that writing music for maybe 5 instruments second by second for what all 5 instruments are doing at what beat meter. (5 instruments x 30 minutes x 60 seconds = 9,000 musical notes) that an 8-year-old will have to imagine in his head!
What’s amazing about Mozart was that he was playing musical instruments very well from age 4! He was composing Symphonies at age 5! By his teenage years Mozart was writing full operas which is now (10 instruments x 60 minutes x 60 seconds) that’s 36,000 second by second musical notes?

And the most amazing thing about Mozart was that he never needed to make any corrections! 36,000 accurate notes written the first time from imagining in his head? So, I think Mozart must be supernatural?



Albert Einstein

Everyone knows that Einstein developed the Atom bombs that were dropped on Japan during WWII and everyone also knows the equation E=mc2. But there are 1,000 more things that Einstein came up with that most people will never be able to comprehend. Such as;

  1. Quantum Physics
  2. Quasi Particles
  3. Subatomic particles
  4. Quarks
  5. Time is relative
  6. Time can be stopped
  7. General Relativity - The theory of general relativity says that the observed gravitational effect between masses results from their warping of space-time.
  8. Microquasars
  9. Black Hole
  10. Warp/Warp drive
  11. Wormholes
  12. Space-time
  13. Etc.. etc.. etc..


If you don’t know what these are, don’t worry me neither! Physics by nature, has a lot of imagining to do. Take for example Warp Drive proposed in 1994 by the Mexican theoretical physicist Miguel Alcubierre. (Again these Physicists are wacked out people!!)

Star Trek’s USS Enterprise is always jumping into Warp Drive if you remember.

The idea is to “create a bubble of distorted space inside which would be the spacecraft,” said Alcubierre, so that “the space behind the object that we want to move would violently expand, and at the same time the space in front of the object would contract.” Thus, “the object moves without actually moving; it is space itself that does the work.” https://www.bbvaopenmind.com/en/science/physics/space-propulsion-by-manipulating-space-time-can-it-go-from-paper-to-reality/


So is this the theory of how UFOs can travel between galaxies with reasonable time?  Because even with travelling at the speed of light, it would take more than a human lifetime to get to the nearest galaxy.

Getting back to Einstein, he was always bored in school. I don’t think he had the top grades in school but this is probably because class was not challenging him enough? There are two theories I wanted to cover that is amazing. Of properties that we cannot touch or measure or control but Einstein thought about it in his head and it was later proven correct?

Sidenote: While Tesla said he would get ideas for not only his experiments but also the results from the experiments coming to his mind when he sleeps, Einstein said that he thinks about a possible problem and what the answer could be.


1- Moving time is slower time: Einstein came up with the idea that the faster you travel, your time slows down compared to someone who is not moving. And the ultimate speed of travel is the speed of light? So at the speed of light, your clock comes to an absolute stop!

The speed of light is 700 million miles per hour. So, if you travel in an airplane at 600 miles per hour, your speed compared to the speed of light is so tiny or miniscule that there is nothing to see. So, we may never know if Einstein was maybe lying? Not really.

Every month the owners of the satellites orbiting our planet experience a slow down with their satellite’s internal clocks by 7 microseconds a day. But there is another strange effect which is from gravity that affects the satellite clocks by running faster by 45 microseconds per day. Physics is wild don’t you think?

Einstein explained that gravity arises because massive bodies warp space-time. (This space-time thing is driving me nuts!). As part of that warping, time should tick more slowly near a massive body than it does farther away. That bizarre effect was first confirmed to low precision in 1959 in an experiment on Earth and in 1976 by Gravity Probe A, a 2-hour rocket-born experiment that compared the ticking of an atomic clock on the rocket with another on the ground. https://www.science.org/content/article/after-botched-launch-orbiting-atomic-clocks-confirm-einsteins-theory-relativity

There were no satellites when Einstein was alive to understand about the effect of gravity on time! But Einstein concluded that someone in space travel will not have any gravity effects so they will probably only encounter slowing of time. In Einstein’s’ theory, if someone travels at the speed of light for one Earth year and when they return to Earth, everyone on Earth is one year older than the space traveler or the clocks on Earth is one year ahead of the space traveler’s. (Their bodies are the same age I would guess? Or not?)

Sidenote: Albert Einstein’s special and general theories of relativity apply to the clocks’ slowing of time is discussed here. https://www.e-education.psu.edu/geog862/node/1714


2- Light can be bent/curved: So, besides time can be bent and time can be slowed down, Einstein says that light also can also be bent? That’s what Einstein imagined in his mind. (Another wacked out imagination). We know light can be reflected, like with a mirror, can be refracted/bent like with water in a cup (this is because light is travelling through air vs a much denser medium such as water. This is called refraction. https://www.sciencelearn.org.nz/resources/49-refraction-of-light).

But Einstein also says that light can be bent by gravity? (I’m getting a headache again. LOL).

Ok here we go again with gravity and time and speed of light, all three things we cannot touch or control. Einstein thinks about it and comes up with ideas that no one can test because we cannot create gravity that is noticeable.

Everyone and everything produces gravity. Just that it is miniscule compared to something like a moon or planet.

So not only how did Einstein come up with these crazy ideas? But how in the world can he prove it?

His rise to superstardom began on May 29, 1919, when the moon and sun lined up just right for a solar eclipse. Photos of the astronomical event showed something strange: A few of the stars visible during the blackout were in the wrong place.

Einstein had foreseen this. Using his theory of general relativity, he made the seemingly crazy bet that the stars’ positions in the sky would shift during an eclipse, and even calculated by how much.

“Stars moved by exactly the amount his general relativity theory predicted,” says Mark Hurn, a departmental librarian at the University of Cambridge’s Institute of Astronomy. “It was the first experimental evidence for general relativity being on the right track.”

General relativity abandoned Newton’s idea that gravity is a force pulling objects together. It reimagined gravity as a warping of time and space — a distortion in the fabric of the universe. According to the mathematics of relativity, light traveling through this distortion will change its path, accommodating the universe’s warps and wefts. The more massive an object, the bigger the distortion, and the more its gravity can bend light.

So not only does the moon bend the light from the sun, but the sun bends the light from the stars. Einstein was right.https://www.discovermagazine.com/the-sciences/how-the-1919-solar-eclipse-made-einstein-the-worlds-most-famous-scientist

Also, space can be bent. We just learned that Time can be slowed down or sped up and light can be bent. Now space can be bent? (I’m getting a headache now from too much wacky information). Space is supposed to be nothing-ness? Can you bend nothing?

In conclusion, it is part of the job for a physicist to dream up of things we can never imagine, never touch, never control, Einstein keeps coming up with so so many things that I will never finish writing about even after a year. I think Einstein’s brain had more knowledge that humans probably not supposed to have?

When Einstein died, the US Government took his brain, (within seven and a half hours of his death), to be studied with the current medical technology available at that time and with future technology that will come.

Einstein’s brain was slightly wider but overall smaller than a normal brain. There were some sections of his brain also slight larger than normal but nothing amazingly different from a normal brain. https://www.science.org/content/article/closer-look-einsteins-brain#:~:text=When%20Einstein%20died%20in%201955,mounted%20them%20on%20microscope%20slides.

 

 

Srinivasa Ramanujan

Watch the Hollywood movie - The Man Who Knew Infinity (2015)

So here I go again with a story of a poor, (middle-class really but poor as an adult), Indian living in impoverished India over 100 years ago.Srinivasa Ramanujan, was born on 22 December 1887 in Kumbakonam, Tamil Nadu. Indian president declared on December 2012 as the 125th anniversary of his birth.

Sidenote: Can you imagine if America actually got off their Ass from

  • Math is racist!
  • And English is racist!
  • And teaching Critical Race Theory during Math and English class.
  • And teaching and helping elementary school children about being a Transgender?

…To actually creating National holidays for Math and Science. And recognizing people like Sir Isaac Newton for gravity and promoting math and sciences as fundamental basics of life and future of the country? Nope, the dumb Ass politicians are busy with CRT, 1619 projects, Global Warming/Climate Change and Diversity/Equity/Inclusion/Transgender crap. USA is going down the drain and going down badly!

Technically Srinivasa did not seem to be a genius. He failed English in High School, dropped out of college, and worked as a clerk in Madras, India. (Kind of similar to Einstein so far). Einstein was bored in High School classes, including Math because it was not challenging to him. My IQ test subject who was always on her cellphone at work, I think was also in the same situation, not being challenged at work for her intelligence level.

Sidenote: What we call Arabic numerals were invented in India by the Hindus. Because the Arabs transmitted this system to the West after the Hindu numerical system found its way to Persia, the numeral system became known as Arabic numerals, though Arabs call the numerals they use as “Indian numerals”.

The number 0 (zero) (or concept of zero) was also invented in India and not by the Arabs. The Arab traders passed it on to Europe.




https://historyofinformation.com/detail.php?id=132
French mathematician Pierre-Simon Laplace (1749–1827) who wrote:

“It is India that gave us the ingenious method of expressing all numbers by the means of ten symbols, each symbol receiving a value of position, as well as an absolute value; a profound and important idea which appears so simple to us now that we ignore its true merit, but its very simplicity, the great ease which it has lent to all computations, puts our arithmetic in the first rank of useful inventions, and we shall appreciate the grandeur of this achievement when we remember that it escaped the genius of Archimedes and Apollonius, two of the greatest minds produced by antiquity.” https://en.wikipedia.org/wiki/History_of_the_Hindu%E2%80%93Arabic_numeral_system

Wikipedia https://en.wikipedia.org/wiki/History_of_the_Hindu%E2%80%93Arabic_numeral_system

During the Vedic period (1500–500 BCE), motivated by geometric construction of the fire altars and astronomy, the use of a numerical system and of basic mathematical operations developed in northern India. Hindu cosmology required the mastery of very large numbers such as the kalpa (the lifetime of the universe) said to be 4,320,000,000 years and the "orbit of the heaven" said to be 18,712,069,200,000,000 yojanas.


Back to Srinivasa; When he was 15 years old, he obtained a copy of George Shoobridge Carr’s Synopsis of Elementary Results in Pure and Applied Mathematics, 2 vol. (1880–86). This collection of thousands of theorems, many presented with only the briefest of proofs and with no material newer than 1860, aroused his genius. Having verified the results in Carr’s book, Ramanujan went beyond the books teachings, developing his own theorems and ideas. In 1903 he secured a scholarship to the University of Madras but lost it the following year because he neglected all other studies in pursuit of mathematics.

In 1911 Ramanujan published the first of his papers in the Journal of the Indian Mathematical Society. His genius slowly gained recognition and he then received a scholarship to Trinity College/University of Cambridge in England.

Ramanujan’s knowledge of mathematics (most of which he had worked out for himself) was startling. Although he was almost completely unaware of modern developments in mathematics, his mastery of continued fractions was unequaled by any living mathematician. He worked out;

  1. the Riemann series,
  2. the elliptic integrals,
  3. hypergeometric series,
  4. the functional equations of the zeta function,
  5. and his own theory of divergent series,

…in which he found a value for the sum of such series using a technique he invented that came to be called Ramanujan summation. He was recognized by mathematicians as a phenomenal genius in the West.



When Mahalanobis asked him how he arrived at his solution to problem 3 above, Ramanujan reportedly said, “As soon as I heard the problem, I knew the answer was a continued fraction. I asked myself, ‘Which continued fraction?’ and the answer just came to me.”

Mark Kac There is no doubt that Srinivas Ramanujan was a magical genius, one of the greatest of all time. Just looking at any of his almost 4,000 original results can inspire a feeling of bewilderment and awe even in professional mathematicians. https://www.quantamagazine.org/three-puzzles-inspired-by-ramanujan-20160714/

Ramanujan was a mathematician of international acclaim, giving birth to theories that had no plausible explanation for decades. https://medium.com/psychology-simplified/how-subconscious-inspired-ramanujan-for-discovering-thousands-of-mathematical-ideas-8751504e02ec

Ramanujan died early of TB. At age 32 he only spent 6 years as a professional mathematician. Can you imagine what we could have learned from him if he lived to 76 years like Einstein did? We did lose an incredibly intelligent person.

  

Discussion

The key thing I want the reader to take away regarding Tesla, Einstein, Mozart and Ramanujan is of the following;

  1. They possessed intelligence of a 40 year old or older by age 4 – 6 years.
  2. Not only can they comprehend techniques such as Music, Electricity, Physics, Gravity, Light, or Mathematics, discovered by 50 year old professionals in their 20s, they actually created new theorems in their 20s that they have not been taught! And people are still reviewing some of these theorems yet today.
  3. They get the ideas and answers come to them as a dream, or idea or image in their head for topics mankind has never thought about!!!
Ramanujan writes: =>“While asleep, I had an unusual experience. There was a red screen formed by flowing blood, as it were. I was observing it. Suddenly a hand began to write on the screen. I became all attention. That hand wrote a number of elliptic integrals. They stuck to my mind. As soon as I woke up, I committed them to writing.”.

When he was a teenager, he frequently woke up between sleep during the late night and used to derive most of his mathematical formulas on slates, and sometimes he slept inside the Namagiri’s Temple and used to wake up in the middle of the night and wrote those formulae’s on the wall and floor of the temple.

He used to perform these activities several times a year. In such a way he managed to record those formulas and started collecting them from slates and the wall of the temple in his notebooks.

He also mentioned that he was never able to write those formulas on his own during the daytime.  How is it that the answers to questions that have never been imagined by mankind before are already in their heads?

These are what I call Super-Human intelligence!


*** End Chapter 4 ***

Would love to know what my readers think?

 

 


Extra Notes 1:

From : https://www.bbvaopenmind.com/en/science/leading-figures/ramanujan-the-man-who-saw-the-number-pi-in-dreams/


On January 16, 1913, a letter revealed a genius of mathematics. The missive came from Madras, a city – now known as Chennai – located in the south of India.

The sender was a young 26-year-old clerk at the customs port, with a salary of £20 a year, enclosing nine sheets of formulas, incomprehensible at first sight. “Dear Sir, I have no University education but I have undergone the ordinary school course.

I have made special investigation of divergent series in general and the results I get are termed by the local mathematicians as startling,” began the writing signed by S. Ramanujan. A century later, the legacy of this Indian genius continues to influence mathematics, physics or computation.

The Indian mathematician Srinivasa Ramanujan. Credit: Wikimedia Commons


The renowned British mathematician G. H. Hardy was the stunned recipient of the document. It contained 120 formulas among which he identified one for knowing how many prime numbers there are between 1 and a certain number, and others that allowed one to calculate quickly the infinite decimals of the number pi.

In some cases, Ramanujan had unwittingly arrived at conclusions already reached by western mathematicians, such as one of Bauer’s formulas for the decimals of pi, but many other formulas were entirely new.

The formulas came alone, isolated, without formal demonstrations or statements. This lack of methodology almost led Hardy to throw the letter into the rubbish. However, in the end he concluded that: “They must be true because, if not, no one would have had the imagination to invent them.”


Ramanujan (centre) together with his colleague G.H. Hardy (extreme right) and other scientists at Trinity College at the University of Cambridge. Credit: Wikimedia Commons


This statement resulted in the journey of Srinivasa Ramanujan (1887-1920) to Cambridge, where Hardy invited him to move in order to try to unravel the secret of this self-taught genius. Ramanujan arrived at Trinity College that same spring of 1913 at a time when colonialism was still justified on the basis of inferior races, a conviction that the extraordinary capacity of the Indian showed to be nonsense. However, during his nearly six years in Britain, Ramanujan had to endure the racism and contempt of English society.

 

CAPTIVATED BY THE NUMBER PI


Ramanujan is the icon of mathematical intuition. His case is a spectacular example of how mathematical language is inscribed in the brains of all human beings. In the same way that Mozart visualized music, this young Indian had the ability to sprout mathematical formulas with which he tried to explain the world. Coming from a poor family, Ramanujan formulated his first theorems at age 13, and by the age of 23 he was already a recognized local figure in the Indian mathematical community, even though he had no college education. He had been rejected twice in the entrance exam for leaving unanswered all those questions that were not related to mathematics.

However, this event did not stop him from continuing his training, which from 1906 became strictly self-taught. In this period, Ramanujan had a great obsession that would follow him until the end of his days: the number pi. From his hand came hundreds of different ways of calculating approximate values ​​of pi. In just the two notebooks he wrote before arriving at Cambridge are found 400 pages of formulas and theorems. Thanks to the theoretical foundations that Ramanujan laid a century ago, powerful computers have calculated the first 10 trillion decimals of the number pi. Going further is considered a test of fire in the world of computing.


EARLY DEATH

Ramanujan’s method: intuitive and without formal demonstrations, clashed with the form of scientific work that demanded that the result be replicable, that is, that another mathematician could follow the approach. The mathematician used to claim that it was the protective goddess of his family, Namagiri, who showed him in dreams the equations of his formulas.

In spite of the peculiarities in his way of working, his results and the support that Hardy always gave him took him to the Royal Society and he became a member of the faculty of Trinity College. However, he was not able to enjoy much of these honours. Ramanujan, who had very fragile health throughout his life, contracted tuberculosis and was confined to a sanatorium in 1918. A year later he returned to his homeland, where he died in the following months aged only 32 years. This early death prevented him from completing the full proofs of his notes. His legacy, which has recently been portrayed by Hollywood in the film The Man Who Knew Infinity, goes beyond its exoticism and is a pillar of modern number theory.

 

 

Extra Notes 2:

From: https://medium.com/psychology-simplified/how-subconscious-inspired-ramanujan-for-discovering-thousands-of-mathematical-ideas-8751504e02ec


The name Srinivasa Ramanujan is synonymous with genius. Born in 1887, Ramanujan was a mathematician of international acclaim, giving birth to theories that had no plausible explanation for decades. His discoveries are so profound that the mathematical community had trouble recognizing him as just one person.

He was an Indian mathematician who made important contributions to intersection theory and infinite series. Srinivasa Ramanujan is considered to be one of the greatest mathematicians of the 20th century. He was born in a lower caste Indian family, and as such received little education as a child.


Nevertheless, he taught himself mathematics and excelled by corresponding with Indian mathematicians and British mathematicians alike. This combination of genius and self-education led him to create several revolutionary mathematical findings that had never been seen before. He showed an affinity for mathematics at the age of five and by the age of 15, he had mastered calculus.

His work has been described as “curious,” “amazing,” and containing “elegant results.” In a period of 28 years, he produced almost 4,000 proofs, identities, conjectures, and equations in pure mathematics. Ramanujan’s work contributed to diverse fields. For instance, he taught Number Theory, Infinite Series, Continued Fractions, and Differential Equations.

His education stopped when he started working at a post office, but he continued studying math on his own. Born in a lower-caste Hindu family of rural India, Srinivasa Ramanujan was largely self-taught.

Nevertheless, Ramanujan’s natural mathematical ability was evident at an early age, and he could often be found sitting on the steps of the open well outside their house, pondering maths problems from books he had borrowed from a relative.

He came up with many brilliant ideas in areas such as elliptic functions and number theory.

The genius behind what is now called “Ramanujan’s Conjectures” was able to intuitively develop over 3000 mathematical formulas in his short life when he had little formal mathematics education. He made some astonishing discoveries that are still being used and studied decades after his death. 

This paper will cover the history behind these conjectures and provide insight into how these findings changed the way we view math and science today.

While asleep, I had an unusual experience. There was a red screen formed by flowing blood, as it were. I was observing it. Suddenly a hand began to write on the screen. I became all attention. That hand wrote a number of elliptic integrals. They stuck to my mind. As soon as I woke up, I committed them to writing.”―Srinivasa Ramanujan

When he was a teenager, he frequently woke up between sleep during the late night and used to derive most of his mathematical formulas on slates, and sometimes he slept inside the Namagiri’s Temple and used to woke up in the middle of the night and wrote those formulae’s on the wall and floor of the temple.

He used to perform these activities several times a year. In such a way he managed to record those formulas and started collecting them from slates and the wall of the temple in his notebooks. He believed that Namagiri the Hindu Goddess was appearing in his dreams and helped him to drive those difficult formulas.

He also mentioned that he was never able to write those formulas on his own during the daytime. Therefore, whenever he slept and got into trouble deriving those difficult formulas, Namagiri comes into his dreams and helps him with mathematical proofs.

This is how he managed to come up with so many Mathematical formulas and theories that are almost correct and still there are many Mathematicians that are struggling to understand his advance mathematical theories and formulas.

His mind was very advanced in Mathematics, therefore even today’s Mathematicians are unable to counter most of the work.

Final Thought

Whether you believe it or not. He considered that all those miracles happened due to the Goddess Namagiri.


But as per with the advancement of science we can say that that whole work was his power of the subconscious mind. Because in ancient days, people were unable to understand their inner voices.

Therefore, they linked them with God or Goddess. Because they were not sure from where these messages or creative help is coming to him.
The subconscious mind has its own memory system, which is separate from the conscious one.

This means that anything processed in the conscious mind remains there until it is accessed again, but when something happens in the subconscious it can be remembered at any time.
In addition to remembering dreams, the subconscious works on things like storing memories and problem-solving.

The subconscious is so powerful that it can even affect your physical health — influencing everything from your immune system to your heart rate.

When we are awake, our conscious mind can gather a lot of data and process what it is viewing, but when we sleep the subconscious mind takes care of that work while we sleep.

The subconscious mind works with repressed memories, old habits, and the conscious mind to create our daily lives.

A study published in the journal Nature revealed that over 90% of people have had at least one dream that has led to the creation of new ideas.

This idea is not new to our society but was first documented by Aristotle who believed that people were more creative during sleep.

Today, many more studies have been done on this topic and found that there are some restrictions on what can be produced during sleep, but there are still many revolutionary ideas that come from dreams.

Many people believe that dreams are the key to solving life’s hidden mysteries. However, even these people don’t know how much of an impact dreams can have on everyday life.

The National Sleep Foundation (NSF) reports that people who sleep well and get enough sleep are generally healthier, more productive, creative, better at managing stress, and able to cope with emotions than those who do not get enough sleep.

The process of dreaming has fascinated scientists and philosophers for centuries, and the idea that the conscious mind can work on solving problems while the body rests is one of the most compelling arguments in favour of human consciousness.


Here are some notable examples:
  1. Freud’s discovery that dreams represent wishes (1900).
  2. Einstein’s theory of relativity (1905).

Our imagination, creativity, and inspiration are linked with our dreams, muscle movements, pleasant music, and pleasant natural environment.

For example, if you want to write a title of your article you just write 10–15 different articles with the best you can make them possible and then open those titles after 2–3 days and then you suddenly feel and realize the best title for your book etc.


Extra Notes 3:

Other amazing mathematicians in ancient times from Greece, Babylon, Arabia, Egypt and even China! Ancient Humans were extremely advanced, but then Humans forgot everything?



A Babylonian tablet known as Plimpton 322 (c. 1700 BCE) is a case in point. In modern notation, it displays number triples x, y, and z with the property that x2 + y2 = z2. One such triple is 2,291, 2,700, and 3,541, where 2,2912 + 2,7002 = 3,5412.

Pythagoras (c. 580–500 BCE) worked in southern Italy amid devoted followers. His philosophy enshrined number as the unifying concept necessary for understanding everything from planetary motion to musical harmony. Given this viewpoint, it is not surprising that the Pythagoreans attributed quasi-rational properties to certain numbers.

The Greek philosopher Nicomachus of Gerasa (flourished c. 100 CE)

Euclid, Greek Eukleides, (flourished c. 300 BCE, Alexandria, Egypt), t

Diophantus of Alexandria (flourished c. 250), author of Arithmetica.

Sun Zi (Sun Tzu; flourished c. 250 CE) tackled multiple Diophantine equations.

Qin Jiushao (1202–61) gave a general procedure, now known as the Chinese remainder theorem

Brahmagupta took up what is now (erroneously) called the Pell equation. He posed the challenge to find a perfect square that, when multiplied by 92 and increased by 1, yields another perfect square. That is, he sought whole numbers x and y such that 92x2 + 1 = y2—a Diophantine equation with quadratic terms. Brahmagupta suggested that anyone who could solve this problem within a year earned the right to be called a mathematician. His solution was x = 120 and y = 1,151.

Thabit ibn Qurrah (active in Baghdad in the 9th century) returned to the Greek problem of amicable numbers and discovered a second pair: 17,296 and 18,416.



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