Wednesday 22 December 2021

National Mathematics Day 2021: 9 Interesting Facts about Genius Mathematician Srinivasa Ramanujan

 National Mathematics Day 2021: It is celebrated on December 22 to commemorate the birth anniversary of great mathematician Srinivasa Ramanujan. On this day, let us read some interesting facts about Srinivasa Ramanujan.

National Mathematics Day 2021: The day is celebrated in India annually to mark the birth anniversary of the genius mathematician Srinivasa Ramanujan. In 2012, former Prime Minister Manmohan Singh declared December 22 as National Mathematics Day to honour the genius mathematician. Here, we are providing some facts regarding Ramanujan's life, contribution, and works.

9 Interesting Facts about Mathematician Srinivasa Ramanujan

1. Srinivasa Ramanujan was born on 22 December 1997, Erode, Tamil Nadu, India, into a Brahmin family.  His father was Srinivasa Iyengar, an accounting clerk for a clothing merchant, and his mother was Komalatammal.

 2. He had not done any formal training in pure mathematics then also he made several contributions to mathematical analysis, number theory, infinite series, and continued fractions, etc.

3. When Ramanujan was 15 years old, he obtained a copy of George Shoobridge Carr’s Synopsis of Elementary Results in Pure and Applied Mathematics. This book was his main source of inspiration and expertise. 

It consists of a large number of mathematical theorems, many presented without proofs, and those with proofs only have the briefest. Ramanujan verified results in Carr's book and went beyond it. He developed his own theorems and ideas. He also secured a scholarship to the University of Madras in 1903 but lost it in the following year, as he neglected all other studies due to mathematics.

4. He published the first of his papers in the Journal of the Indian Mathematical Society in 1911. His understanding of mathematics and his genius slowly gained recognition. He was appointed to the position of clerk in the Madras Post Trust Office in 1912 where his colleague encouraged him to reach out to G.H. Hardy, who was a famous mathematician at Cambridge University. He led to a special scholarship from the University of Madras and a grant from Trinity College, Cambridge. 

5. In 1914, he travelled to England despite religious objections. Here, Hardy taught him and collaborated with him on some research. Ramanujan, in England also made advances mainly in the partition of numbers.

6. His contributions to Mathematics

He compiled around 3900 results that consist of equations and identities. One of his most famous findings was his infinite series for pi. This is the basis of the various algorithms that we use today. 

He also discovered various new ideas for solving several challenging mathematical problems, which further gave a significant impetus to game theory development. 

He also described the mock theta function.  

His several other works include the Riemann series, the elliptic integralshypergeometric series, the functional equations of the zeta function, and his own theory of divergent series.

7. Ramanujan in England had made advances mainly in the partition of numbers. His papers were published in English and European journals. 

8. He was elected to the Royal Society of England in 1918 and became the second Indian. 

'1729' is said to be a magic number. According to Ramanujan's biography 'The Man Who Knew Infinity' by Robert Knaigel, GH Hardy once went to meet Ramanujan at a hospital. He told him that the taxi number was '1729' from which he came but it seemed to be an ordinary number. Ramanujan said that it was not an ordinary number. The genius mathematician said that it is the smallest number which can be expressed as the sum of two different cubes in 2 different ways. Later, the number was termed as 'Hardy-Ramanujan Number'.

9. Ramanujan at the age of 32 died after contracting tuberculosis. He left behind three notebooks and some pages known as 'lost notebooks' containing various unpublished results that were continued to verify by mathematicians after his death.

The genius Indian mathematician had few opportunities during his lifetime to showcase his talents. But due to his passion and for giving his best to mathematics did not hold him back from leaving back his legacy for the world to marvel at.

Srinivasa Ramanujan: Fast Facts

Born: 22 December 1887
Place of Birth: Erode, India
Died: 26 April 1920 (aged 32)
Place of Death: Kumbakonam, India
Other name: Srinivasa Ramanujan Iyengar
Education: Governments Art College (no degree),  Pachaiyappa's College (no degree), Trinity College, Cambridge (Bachelor of Arts by Research)
Known for: Landau–Ramanujan constant, Mock theta functions, Ramanujan conjecture, Ramanujan prime, Ramanujan theta function, Ramanujan's sum, Rogers–Ramanujan identities, Ramanujan's master theorem, etc.
Awards: Fellow of the Royal Society

Source: https://www.jagranjosh.com/general-knowledge/interesting-facts-about-mathematician-srinivasa-ramanujan-1640090048-1

National Mathematics Day 2021 today: Occasion to commemorate Srinivasa Ramanujan's Birth Anniversary

 In 2012, then PM Manmohan Singh declared December 22 as National Mathematics Day to honor Srinivas Ramanujan.


HIGHLIGHTS

  • India is celebrating National Mathematics Day 2021 today.
  • It is celebrated to remember Srinivas Ramanujan on his birth anniversary (December 22).
  • In 2012, then PM Manmohan Singh had declared this day as National Mathematics Day.

National Mathematics Day 2021: India is celebrating National Mathematics Day today to commemorate the 144th birth anniversary of ace mathematician Srinivas Ramanujan who was born on December 22, 1887. 

Here's all you need to know about the day, and Ramanujan:

  1. Srinivas Ramanujan was born on December 22, 1887, at Erode, Tamil Nadu in a Tamil Brahmin Iyengar family.
  2. His excellence at Mathematics was recognized after he started working as a clerk in the Madras Port Trust in 1912. 
  3. His colleague there referred Ramanujan to Professor GH Hardy of Trinity College, Cambridge University.
  4. Ramanujan received a Bachelor of Science (BSc) degree from Trinity College in 1916.
  5. He was elected to the London Mathematical Society in 1917.
  6. In 1918, he became the first Indian to be elected a Fellow of Trinity College. In 1919 he returned back to India.
  7. Unfortunately, he breathed his last a year later, aged 32.
  8. The 2015 movie 'The Man Who Knew Infinity' was released based on Srinivasa Ramanujan’s biography
  9. Ramanujan his own theorems and independently compiled 3900 results.
  10. In 2012, then Prime Minister Manmohan Singh declared December 22 as National Mathematics Day to honor Srinivas Ramanujan. 
    Source:https://www.indiatvnews.com/news/india/national-mathematics-day-2021-december-22-srinivasa-ramanujan-birth-anniversary-750622


Wednesday 15 December 2021

Vijay Diwas 2021: Know History and Significance of the day here

 Vijay Diwas 2021: The day is observed on December 16 annually to commemorate the victory of the Indian Forces over Pakistan during the 1971 war. Know about the history and significance of Vijay Diwas.



Vijay Diwas 2021: The day is celebrated in India on December 16 to mark the decisive victory over Pakistan in 1971 which resulted in the creation of Bangladesh and in the liberation of East Pakistan. Check out some key facts about the day below.

On 16 December 2021, Prime Minister Narendra Modi will participate in the Homage and Reception Ceremony of Swarnim Vijay Mashaal's at the National War Memorial.

About Vijay Diwas

On December 3, the Indo-Pakistan war began in 1971 and lasted for 13 days. Officially, the war ended on December 16 and Pakistan surrendered to India. The thirteen-day war resulted in the complete surrender of Pakistani forces and the creation of Bangladesh. Army of Pakistan surrendered before India with around 93,000 soldiers. It was the "Greatest Ever Victory" and India rose as a regional power to reckon with.  

Vijay Diwas: Key Facts of India-Pakistan War 1971

The conflict was a result of the Bangladesh Liberation War following West Pakistan's ill-treatment of the people and undermining of the election results in East Pakistan. On March 26, 1971, the call for succession was officially raised by East Pakistan. India's former Prime Minister Indira Gandhi supported them in their independence struggle.The 1971 war was a military conflict between India and Pakistan. It started with pre-emptive airstrikes on 11 Indian Air Force stations by Pakistan on December 3, 1971. As a result, the Indian Army agreed to support Bengali nationalist groups in the Bangladesh independence struggle in East Pakistan.

The war was fought due to the widespread genocide of the people of East Pakistan carried out by an oppressive military regime under General Yahya Khan of Pakistan.

The war was fought on both Eastern and Western fronts and was short and intense.

On December 4, 1971, Operation Trident was launched by India. In this operation, the Indian Navy's Western Naval Command successfully conducted a surprise attack on Karachi port. It was done under the codename Trident.

In East Pakistan, the Mukti Bahini guerrillas joined hands with Indian forces to fight against Pakistani troops in the east. 

During the war, the Southern Command defended the borders of the nation against any action by Pakistan. The battles that were fought in the area of responsibility of the Southern Army consists of the famous battles of Longewala and Parbat Ali. Here, Pakistan's armoured forces were destroyed by resolute Indian troops. 

Soldiers of the renowned 10 Para Commando Battalion led by Lieutenant Colonel (later Brigadier) Bhawani Singh carried out a raid on the Pakistani town of Chachro. These battles have created an example in history and show the grit, determination, and bravery of our soldiers.

On December 14, the IAF attacked a house where a meeting was taking place with the governor of East Pakistan. Pakistan was shaken by this attack. As a result, the surrender process started on 16 December 1971 and around 93,000 Pakistani forces had surrendered at that time.

Thus, on December 16, 1971, Bangladesh was born as a new nation and East Pakistan became independent from Pakistan.

This war is considered a historical war for India. That is why December 16 is celebrated as 'Vijay Diwas' to commemorate India's victory over Pakistan across the country. It is said that in the war of 1971, about 3,900 Indian soldiers were martyred and about 9,851 were injured.

Source:https://www.jagranjosh.com/general-knowledge/vijay-diwas-history-and-significance-1639571678-1


Thursday 9 December 2021

Human Rights Day 2021: क्यों मनाया जाता है मानवाधिकार दिवस? जानिए इस साल का थीम

 



Human Rights Day 2021: पूरी दुनिया में हर साल 10 दिसंबर को मानवाधिकार दिवस मनाया जाता है। संयुक्त राष्ट्र महासभा (United Nations General Assembly) ने 1948 में मानवाधिकारों की सार्वभौम घोषणा को अपनाया था। यह दिन लोगों के सामाजिक, सांस्कृतिक और शारीरिक अधिकारों के बारे में जागरूकता बढ़ाने और सभी के कल्याण को सुनिश्चित करने के लिए मनाया जाता है। साथ ही, इस दिन संयुक्त राष्ट्र देशों को सभी के लिए समान अवसर पैदा करने और असमानता, बहिष्कार और भेदभाव के मुद्दों को संबोधित करने के लिए प्रोत्साहित करता है।

मानवाधिकार दिवस किसी भी जाति, रंग, धर्म, लिंग, भाषा, राजनीतिक या अन्य राय, राष्ट्रीय या सामाजिक मूल, संपत्ति, जन्म या किसी भी अन्य स्टेटस के बावजूद सभी मनुष्यों के पूर्ण अधिकारों का प्रतीक है।

मानवाधिकार दिवस 2021 के बारे में

मानवाधिकार परिषद (Human Rights Council) में संयुक्त राष्ट्र के 47 निर्वाचित सदस्य राज्य शामिल हैं, जिन्हें असमानता, दुर्व्यवहार और भेदभाव को रोकने, सबसे कमजोर लोगों की रक्षा करने और मानवाधिकारों के उल्लंघन के अपराधियों को दंडित करने का अधिकार है। बता दें कि मानवाधिकारों को अंतरराष्ट्रीय और राष्ट्रीय कानूनों, और विश्व स्तर पर संधियों द्वारा संरक्षित और बरकरार रखा गया है।

मानवाधिकार दिवस 2021: थीम (Human Rights Day 2021 Theme) 

इस साल के मानवाधिकार दिवस की थीम "समानता, असमानताओं को कम करना, मानव अधिकारों को आगे बढ़ाना" है। समानता और गैर-भेदभाव का सिद्धांत मानव अधिकारों के केंद्र में है। समानता का मतलब है समावेश और गैर-भेदभाव- यानी विकास के लिए असमानताओं को कम करना ही मानवाधिकार का सबसे अच्छा तरीका है।

मानवाधिकार दिवस 2021: महत्व (Human Rights Day 2021 Significance) 

मानवाधिकार दिवस काफी अहम है, खासकर कोविड-19 के बाद जिसने गरीबी को और गहरा किया है, और असमानता, भेदभाव और मानवाधिकार संरक्षण में खाई को बढ़ाया है। हालांकि, बेहतर, अधिक लचीला और टिकाऊ दुनिया का निर्माण करके इन खाली जगहों को भरना और मानवाधिकारों को आगे बढ़ाना संभव है।

Source:https://bharat.republicworld.com/india-news/general-news/human-rights-day-2021-know-its-history-significance-and-theme

10 दिसंबर : ‘अंतरराष्ट्रीय मानवाधिकार दिवस’ को तौर पर मनाया जाता है यह दिन

 

नयी दिल्ली, नौ दिसम्बर (भाषा) मानवाधिकार संरक्षण के लिहाज से 10 दिसम्बर के दिन का खास महत्व है। इस दिन को ‘अंतरराष्ट्रीय मानवाधिकार दिवस’ के तौर पर मनाया जाता है।

नयी दिल्ली, नौ दिसम्बर (भाषा) मानवाधिकार संरक्षण के लिहाज से 10 दिसम्बर के दिन का खास महत्व है। इस दिन को ‘अंतरराष्ट्रीय मानवाधिकार दिवस’ के तौर पर मनाया जाता है। संयुक्त राष्ट्र ने 1950 में दस दिसम्बर को मानवाधिकार दिवस घोषित किया था, जिसका उद्देश्य विश्वभर के लोगों को मानवाधिकारों के महत्व के प्रति जागरूक करना और इसके पालन के प्रति सजग रहने का संदेश देना है।
Source:https://navbharattimes.indiatimes.com/india/10-december-is-celebrated-as-international-human-rights-day-/articleshow/88187452.cms

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