Srinivasa Ramanujan was an Indian mathematician who made significant contributions to mathematical analysis, number theory, and continued fractions. He showed great aptitude for mathematics from a young age, mastering advanced concepts independently without formal training. Ramanujan struggled for recognition in India but eventually gained the support of G.H. Hardy in England. Working with Hardy, Ramanujan made advances in partition theory and the Riemann zeta function before dying at age 32.
this was given at LVK ,Almora....both presentation were presented in a lucid manner....which provide me Ist prise for twice....really it was a good experience...
this was given at LVK ,Almora....both presentation were presented in a lucid manner....which provide me Ist prise for twice....really it was a good experience...
Srinivasa Ramanujan FRS was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical
This ppt is on Srinivasa Ramanujan FRS was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical
Srinivasa Ramanujan Date Of Birth 22.12.1887Padma Lalitha
In last slide I have mentioned Srinivasa Ramanujan D.O.B. as
22.12.1987. I am extremely sorry for that. Please read it as 22.12.1887. Thanks to my friend Smt. Indira, who brought it to my notice.
SREENIVASA RAMANUJAN (1887-1920).I am created this ppt.These ppt on my openoin all people are knowing the RAMANUJAN life achievements & history....Creativity is my hobby.....
Srinivasa Ramanujan FRS was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical
This ppt is on Srinivasa Ramanujan FRS was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical
Srinivasa Ramanujan Date Of Birth 22.12.1887Padma Lalitha
In last slide I have mentioned Srinivasa Ramanujan D.O.B. as
22.12.1987. I am extremely sorry for that. Please read it as 22.12.1887. Thanks to my friend Smt. Indira, who brought it to my notice.
SREENIVASA RAMANUJAN (1887-1920).I am created this ppt.These ppt on my openoin all people are knowing the RAMANUJAN life achievements & history....Creativity is my hobby.....
National Mathematics Day Celebration 22 DecemberRakibulSK3
Srinivasa Ramanujan was a great Indian
mathematician . He was born on 22nd December
1887 in Erode (Tamil Nadu) during British
Government .His full name was Srinivasa Iyenger
Ramanujan . His father name was Kuppuswamy
Srinivasa Iyenger and his mother’s name was
Komalatammal. He was enrolled in the Town
higher Secondary School from 1897-1904 , Wherehe encountered formal mathematics for the first Time.
By age 11, he had exhausted the mathematical knowledge of two college students who were lodgers at his home .He was latter lent a book on advanced
trigonometry written by S.L.Loney. He completely mastered on this book by the age of 13 and discovered
Sophisticated theorems on his own . In July 1909,
Ramanujan married S.Janaki Ammal , who was then
Just 10 years old . The Cambridge mathematician
G.H. Hardy arranged for Ramanujan to visit Trinity
College in Cambridge .Ramanujan arrived in Cambridge in 1914 and He completed his graduation from Cambridge University ,London . He made a lot of his theories which are very popular in the world and That is why His theories still get used in lots of countries . He wrote many books Comprising his theories and formulas . He is famous for his contribution to number theory and infinite Series .His birthday is celebrated as National Mathematics Day in India every year .He was died on 26th April 1920 ,at the age of 32 years in Madras . He Worked for a very short period but his teaching are Still alive in many people’s mind and text books .His Contribution in the Field of mathematics has been immense and will be remembered forever.
During his short life, Ramanujan independently compiled nearly 3,900 results (mostly identities and equations).[6] Many were completely novel; his original and highly unconventional results, such as the Ramanujan prime, the Ramanujan theta function, partition formulae and mock theta functions, have opened entire new areas of work and inspired a vast amount of further research.[7] Of his thousands of results, all but a dozen or two have now been proven correct.[8] The Ramanujan Journal, a scientific journal, was established to publish work in all areas of mathematics influenced by Ramanujan,[9] and his notebooks—containing summaries of his published and unpublished results—have been analysed and studied for decades since his death as a source of new mathematical ideas. As late as 2012, researchers continued to discover that mere comments in his writings about "simple properties" and "similar outputs" for certain findings were themselves profound and subtle number theory results that remained unsuspected until nearly a century after his death.[10][11] He became one of the youngest Fellows of the Royal Society and only the second Indian member, and the first Indian to be elected a Fellow of Trinity College, Cambridge. Of his original letters, Hardy stated that a single look was enough to show they could have been written only by a mathematician of the highest Ramanujan.
Great indian mathmatician -srinivasan ramanujanMahip Singh
Srinivasa Ramanujan Iyengar FRS (pronunciation: Listeni/sriːnivɑːsə rɑːmɑːnʊdʒən/) (22 December 1887 – 26 April 1920) was an Indian mathematician and autodidact. Though he had almost no formal training in pure mathematics, he made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. Ramanujan initially developed his own mathematical research in isolation; it was quickly recognized by Indian mathematicians. When his skills became apparent to the wider mathematical community, centred in Europe at the time, he began a famous partnership with the English mathematician G. H. Hardy. He rediscovered previously known theorems in addition to producing new theorems.
During his short life, Ramanujan independently compiled nearly 3,900 results (mostly identities and equations).[1] Nearly all his claims have now been proven correct, although some were already known.[2] He stated results that were both original and highly unconventional, such as the Ramanujan prime and the Ramanujan theta function, and these have inspired a vast amount of further research.[3] The Ramanujan Journal, an international publication, was launched to publish work in all areas of mathematics influenced by his work.[4]
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...Levi Shapiro
Letter from the Congress of the United States regarding Anti-Semitism sent June 3rd to MIT President Sally Kornbluth, MIT Corp Chair, Mark Gorenberg
Dear Dr. Kornbluth and Mr. Gorenberg,
The US House of Representatives is deeply concerned by ongoing and pervasive acts of antisemitic
harassment and intimidation at the Massachusetts Institute of Technology (MIT). Failing to act decisively to ensure a safe learning environment for all students would be a grave dereliction of your responsibilities as President of MIT and Chair of the MIT Corporation.
This Congress will not stand idly by and allow an environment hostile to Jewish students to persist. The House believes that your institution is in violation of Title VI of the Civil Rights Act, and the inability or
unwillingness to rectify this violation through action requires accountability.
Postsecondary education is a unique opportunity for students to learn and have their ideas and beliefs challenged. However, universities receiving hundreds of millions of federal funds annually have denied
students that opportunity and have been hijacked to become venues for the promotion of terrorism, antisemitic harassment and intimidation, unlawful encampments, and in some cases, assaults and riots.
The House of Representatives will not countenance the use of federal funds to indoctrinate students into hateful, antisemitic, anti-American supporters of terrorism. Investigations into campus antisemitism by the Committee on Education and the Workforce and the Committee on Ways and Means have been expanded into a Congress-wide probe across all relevant jurisdictions to address this national crisis. The undersigned Committees will conduct oversight into the use of federal funds at MIT and its learning environment under authorities granted to each Committee.
• The Committee on Education and the Workforce has been investigating your institution since December 7, 2023. The Committee has broad jurisdiction over postsecondary education, including its compliance with Title VI of the Civil Rights Act, campus safety concerns over disruptions to the learning environment, and the awarding of federal student aid under the Higher Education Act.
• The Committee on Oversight and Accountability is investigating the sources of funding and other support flowing to groups espousing pro-Hamas propaganda and engaged in antisemitic harassment and intimidation of students. The Committee on Oversight and Accountability is the principal oversight committee of the US House of Representatives and has broad authority to investigate “any matter” at “any time” under House Rule X.
• The Committee on Ways and Means has been investigating several universities since November 15, 2023, when the Committee held a hearing entitled From Ivory Towers to Dark Corners: Investigating the Nexus Between Antisemitism, Tax-Exempt Universities, and Terror Financing. The Committee followed the hearing with letters to those institutions on January 10, 202
A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
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Synthetic fiber production is a fascinating and complex field that blends chemistry, engineering, and environmental science. By understanding these aspects, students can gain a comprehensive view of synthetic fiber production, its impact on society and the environment, and the potential for future innovations. Synthetic fibers play a crucial role in modern society, impacting various aspects of daily life, industry, and the environment. ynthetic fibers are integral to modern life, offering a range of benefits from cost-effectiveness and versatility to innovative applications and performance characteristics. While they pose environmental challenges, ongoing research and development aim to create more sustainable and eco-friendly alternatives. Understanding the importance of synthetic fibers helps in appreciating their role in the economy, industry, and daily life, while also emphasizing the need for sustainable practices and innovation.
Macroeconomics- Movie Location
This will be used as part of your Personal Professional Portfolio once graded.
Objective:
Prepare a presentation or a paper using research, basic comparative analysis, data organization and application of economic information. You will make an informed assessment of an economic climate outside of the United States to accomplish an entertainment industry objective.
Read| The latest issue of The Challenger is here! We are thrilled to announce that our school paper has qualified for the NATIONAL SCHOOLS PRESS CONFERENCE (NSPC) 2024. Thank you for your unwavering support and trust. Dive into the stories that made us stand out!
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It is possible to hide or invisible some fields in odoo. Commonly using “invisible” attribute in the field definition to invisible the fields. This slide will show how to make a field invisible in odoo 17.
Executive Directors Chat Leveraging AI for Diversity, Equity, and InclusionTechSoup
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1. Srinivasa Ramanujan Biography
Srinivasa Ramanujan was an Indian mathematician who made significant contributions to mathematical
analysis, number theory, and continued fractions. Check out this biography to know about his childhood,
life, achievements, works & timeline. .
Quick Facts
Famous as Mathematician
Nationality Indian
Born on 22 December 1887 AD
Zodiac Sign Sagittarius
Born in Erode
Died on 26 April 1920 AD
Place of death Chetput
Father K. Srinivasa Iyengar
Mother Komalat Ammal
Siblings Sadagopan
Spouse Janaki Ammal
Education Town Higher Secondary School, 1906 -
Government Arts College, Kumbakonam,
Pachaiyappa's College, 1920 - Trinity College,
Cambridge, 1919 - University of Cambridge, 1916
- University of Cambridge, University of Madras
Works & Achievements Ramanujan constant, Ramanujan prime,
Ramanujan theta function, Ramanujan’s master
theorem, Mock theta functions, Ramanujan
conjecture, Ramanujan-Soldner constant,
Ramanujan’s sum.
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2. Srinivasa Ramanujan was an Indian mathematician who made significant contributions to mathematical
analysis, number theory, and continued fractions. What made his achievements really extraordinary was
the fact that he received almost no formal training in pure mathematics and started working on his own
mathematical research in isolation. Born into a humble family in southern India, he began displaying
signs of his brilliance at a young age. He excelled in mathematics as a school student, and mastered a
book on advanced trigonometry written by S. L. Loney by the time he was 13. While in his mid-teens,
he was introduced to the book ‘A Synopsis of Elementary Results in Pure and Applied Mathematics’
which played an instrumental role in awakening his mathematical genius. By the time he was in his late-
teens, he had already investigated the Bernoulli numbers and had calculated the Euler–Mascheroni
constant up to 15 decimal places. He was, however, so consumed by mathematics that he was unable to
focus on any other subject in college and thus could not complete his degree. After years of struggling,
he was able to publish his first paper in the ‘Journal of the Indian Mathematical Society’ which helped
him gain recognition. He moved to England and began working with the renowned mathematician G. H.
Hardy. Their partnership, though productive, was short-lived as Ramanujan died of an illness at the age
of just 32.
Childhood & Early Life:
Srinivasa Ramanujan was born on 22 December 1887 in Erode, Madras Presidency, to K.
Srinivasa Iyengar and his wife Komalatammal. His family was a humble one and his father
worked as a clerk in a sari shop. His mother gave birth to several children after Ramanujan, but
none of them survived infancy.
Ramanujan contracted smallpox in 1889 but recovered from the potentially fatal disease. While a
young child, he spent considerable time in his maternal grandparents’ home.
He started his schooling in 1892. Initially he did not like school though he soon started excelling
in his studies, especially mathematics.
After passing out of Kangayan Primary School, he enrolled at Town Higher Secondary School in
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3. 1897. He soon discovered a book on advanced trigonometry written by S. L. Loney which he
mastered by the time he was 13. He proved to be brilliant student and won several merit
certificates and academic awards.
In 1903, he got his hands on a book called ‘A Synopsis of Elementary Results in Pure and
Applied Mathematics’ by G.S. Carr which was a collection of 5000 theorems. He was
thoroughly fascinated by the book and spent months studying it in detail. This book is credited to
have awakened the mathematical genius in him.
By the time he was 17, he had independently developed and investigated the Bernoulli numbers
and had calculated the Euler–Mascheroni constant up to 15 decimal places. He was now no
longer interested in any other subject, and totally immersed himself in the study of mathematics
only.
He graduated from Town Higher Secondary School in 1904 and was awarded the K. Ranganatha
Rao prize for mathematics by the school's headmaster, Krishnaswami Iyer.
He went to the Government Arts College, Kumbakonam, on scholarship. However, he was so
preoccupied with mathematics that he could not focus on any other subject, and failed in most of
them. Due to this, his scholarship was revoked.
He later enrolled at Pachaiyappa's College in Madras where again he excelled in mathematics,
but performed poorly in other subjects. He failed to clear his Fellow of Arts exam in December
1906 and again a year later. Then he left college without a degree and continued to pursue
independent research in mathematics.
Later Years:
After dropping out of college, he struggled to make a living and lived in poverty for a while. He
also suffered from poor health and had to undergo a surgery in 1910. After recuperating, he
continued his search for a job.
He tutored some college students while desperately searching for a clerical position in Madras.
Finally he had a meeting with deputy collector V. Ramaswamy Aiyer, who had recently founded
the Indian Mathematical Society. Impressed by the young man’s works, Aiyer sent him with
letters of introduction to R. Ramachandra Rao, the district collector for Nellore and the secretary
of the Indian Mathematical Society.
Rao, though initially skeptical of the young man’s abilities soon changed his mind after
Ramanujan discussed elliptic integrals, hypergeometric series, and his theory of divergent series
with him. Rao agreed to help him get a job and also promised to financially fund his research.
Ramanujan got a clerical post with the Madras Port Trust, and continued his research with the
financial help from Rao. His first paper, a 17-page work on Bernoulli numbers, was published
with the help of Ramaswamy Aiyer, in the ‘Journal of the Indian Mathematical Society’ in
1911.
The publication of his paper helped him gain attention for his works, and soon he was popular
among the mathematical fraternity in India. Wishing to further explore research in mathematics,
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4. Ramanujan began a correspondence with the acclaimed English mathematician, Godfrey H.
Hardy, in 1913.
Hardy was very impressed with Ramanujan’s works and helped him get a special scholarship
from the University of Madras and a grant from Trinity College, Cambridge. Thus Ramanujan
travelled to England in 1914 and worked alongside Hardy who mentored and collaborated with
the young Indian.
In spite of having almost no formal training in mathematics, Ramanujan’s knowledge of
mathematics was astonishing. Even though he had no knowledge of the modern developments in
the subject, he effortlessly worked out the Riemann series, the elliptic integrals, hypergeometric
series, and the functional equations of the zeta function.
However, his lack of formal training also meant that he had no knowledge of doubly periodic
functions, the classical theory of quadratic forms, or Cauchy’s theorem. Also, several of his
theorems on the theory of prime numbers were wrong.
In England, he finally got the opportunity to interact with other gifted mathematicians like his
mentor, Hardy, and made several further advances, especially in the partition of numbers. His
papers were published in European journals, and he was awarded a Bachelor of Science degree
by research in March 1916 for his work on highly composite numbers. His brilliant career was
however cut short by his untimely death.
Major Works:
Considered to be a mathematical genius, Srinivasa Ramanujan, was regarded at par with the likes
of Leonhard Euler and Carl Jacobi. Along with Hardy, he studied the partition function P(n)
extensively and gave a non-convergent asymptotic series that permits exact computation of the
number of partitions of an integer. Their work led to the development of a new method for
finding asymptotic formulae, called the circle method.
Awards & Achievements:
He was elected a Fellow of the Royal Society in 1918, as one of the youngest Fellows in the
history of the Royal Society. He was elected "for his investigation in Elliptic functions and the
Theory of Numbers."
The same year, he was also elected a Fellow of Trinity College—the first Indian to be so honored.
Personal Life & Legacy:
He was married to a ten-year-old girl named Janakiammal in July 1909 when he was in his early
20s. The marriage was arranged by his mother. The couple did not have any children, and it is
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5. possible that the marriage was never consummated.
Ramanujan suffered from various health problems throughout his life. His health declined
considerably while he was living in England as the climatic conditions did not suit him. Also, he
was a vegetarian who found it extremely difficult to obtain nutritious vegetarian food in England.
He was diagnosed with tuberculosis and a severe vitamin deficiency during the late 1910s and
returned home to Madras in 1919. He never fully recovered and breathed his last on 26 April
1920, aged just 32.
His birthday, 22 December, is celebrated as 'State IT Day' in his home state of Tamil Nadu. On
the 125th anniversary of his birth, India declared his birthday as 'National Mathematics Day.'
Top 10 Facts You Did Not Know About Ramanujan:
Ramanujan was a lonely child in school as his peers could never understand him.
He hailed from a poor family and used a slate instead of paper to jot down the results of his
derivations.
He did not receive any formal training in pure mathematics!
He lost his scholarship to study at Government Arts College as he was so obsessed with
mathematics that he failed to clear other subjects.
Ramanujan did not possess a college degree.
He wrote to several prominent mathematicians, but most of them did not even respond as they
dismissed him as a crank due to the lack of sophistication in his works.
He became a victim of racism in England.
The number 1729 is called Hardy-Ramanujan number in his honor following an incident
regarding a taxi with this number.
A biographical film in Tamil based on Ramanujan’s life was released in 2014.
Google honored him on his 125th birth anniversary by replacing its logo with a doodle on its
home page.
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