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Norman Ernest Borlaug (; March 25, 1914 – September 12, 2009) was an American agronomist who led initiatives worldwide that contributed to the extensive increases in agricultural production termed the Green Revolution. Borlaug was awarded multiple honors for his work, including the Nobel Peace Prize, the Presidential Medal of Freedom and the Congressional Gold Medal.

Borlaug received his B.S. in forestry in 1937 and Ph.D. in plant pathology and genetics from the University of Minnesota in 1942. He took up an agricultural research position in Mexico, where he developed semi-dwarf, high-yield, disease-resistant wheat varieties. During the mid-20th century, Borlaug led the introduction of these high-yielding varieties combined with modern agricultural production techniques to Mexico, Pakistan, and India. As a result, Mexico became a net exporter of wheat by 1963. Between 1965 and 1970, wheat yields nearly doubled in Pakistan and India, greatly improving the food security in those nations.

Borlaug was often called "the father of the Green Revolution", and is credited with saving over a billion people worldwide from starvation. According to Jan Douglas, executive assistant to the president of the World Food Prize Foundation, the source of this number is Gregg Easterbrook's 1997 article "Forgotten Benefactor of Humanity." The article states that the "form of agriculture that Borlaug preaches may have prevented a billion deaths." He was awarded the Nobel Peace Prize in 1970 in recognition of his contributions to world peace through increasing food supply.

Later in his life, he helped apply these methods of increasing food production in Asia and Africa.

ka·ṭa·pa·yā·di (Devanagari: कटपयादि) system (also known as Paralppēru, Malayalam: പരല്‍പ്പേര്) of numerical notation is an ancient Indian alphasyllabic numeral system to depict letters to numerals for easy remembrance of numbers as words or verses. Assigning more than one letter to one numeral and nullifying certain other letters as valueless, this system provides the flexibility in forming meaningful words out of numbers which can be easily remembered.

Chanakya (IAST: Cāṇakya, pronunciation ) was an ancient Indian teacher, philosopher, economist, jurist and royal advisor. He is traditionally identified as Kauṭilya or Vishnugupta, who authored the ancient Indian political treatise, the Arthashastra, a text dated to roughly between the 3rd century BCE and the 3rd century CE. As such, he is considered the pioneer of the field of political science and economics in India, and his work is thought of as an important precursor to classical economics. His works were lost near the end of the Gupta Empire in the 6th century CE and not rediscovered until the early 20th century.

Chanakya assisted the first Mauryan emperor Chandragupta in his rise to power. He is widely credited for having played an important role in the establishment of the Maurya Empire. Chanakya served as the chief advisor to both emperors Chandragupta and his son Bindusara.

Diwali (English: ), Deepavali, or Divali, (IAST: dīpāvalī) also known as the Festival of Lights is a Hindu religious festival and one of the most important festivals within Hinduism. It generally lasts five days (or six in some regions of India), and is celebrated during the Hindu lunisolar month Kartika (between mid-October and mid-November). One of the most popular festivals of Hinduism, it symbolizes the spiritual "victory of light over darkness, good over evil, and knowledge over ignorance". The festival is widely associated with Lakshmi, goddess of prosperity and Ganesha, god of wisdom and the remover of obstacles, with many other regional traditions connecting the holiday to Sita and Rama, Vishnu, Krishna, Durga, Shiva, Kali, Hanuman, Kubera, Yama, Yami, Dhanvantari, or Vishvakarman. Furthermore, it is a celebration of the day Rama returned to his kingdom in Ayodhya with his wife Sita and his brother Lakshmana after defeating the demon Ravana in Lanka and serving 14 years of exile.

In the lead-up to Deepavali, celebrants prepare by cleaning, renovating, and decorating their homes and workplaces with diyas (oil lamps) and rangolis (colorful art circle patterns). During Diwali, people wear their finest clothes, illuminate the interior and exterior of their homes with diyas and rangoli, perform worship ceremonies of Lakshmi, the goddess of prosperity and wealth, light fireworks, and partake in family feasts, where mithai (sweets) and gifts are shared. Originally a Hindu festival, Diwali has transcended religious lines and is also celebrated by Jains and Sikhs. It is a major cultural event for the Hindu, Sikh, and Jain diaspora.

The five-day long festival originated in the Indian subcontinent and is mentioned in early Sanskrit texts. Diwali is usually celebrated twenty days after the Vijayadashami (Dussehra, Dasara, Dashain, Dashahara) festival, with Dhanteras, or the regional equivalent, marking the first day of the festival when celebrants prepare by cleaning their homes and making decorations on the floor, such as rangolis.Some regions of India start Diwali festivities the day before Dhanteras with Govatsa Dwadashi. The second day is Naraka Chaturdashi. The third day is the day of Lakshmi Puja and the darkest night of the traditional month. In some parts of India, the day after Lakshmi Puja is marked with the Govardhan Puja and Balipratipada (Padwa). Some Hindu communities mark the last day as Bhai Dooj or the regional equivalent, which is dedicated to the bond between sister and brother, while other Hindu and Sikh craftsmen communities mark this day as Vishwakarma Puja and observe it by performing maintenance in their work spaces and offering prayers.

Some other faiths in India also celebrate their respective festivals alongside Diwali. The Jains observe their own Diwali which marks the final liberation of Mahavira, the Sikhs celebrate Bandi Chhor Divas to mark the release of Guru Hargobind from a Mughal prison, while Newar Buddhists, unlike other Buddhists, celebrate Diwali by worshipping Lakshmi, while the Hindus of Eastern India and Bangladesh generally celebrate Diwali by worshipping the goddess Kali. The main day of the festival of Diwali (the day of Lakshmi Puja) is an official holiday in Fiji, Guyana, India, Malaysia, Mauritius, Myanmar, Nepal, Pakistan, Singapore, Sri Lanka, Suriname, and Trinidad and Tobago.

Srinivasa Ramanujan FRS (; listen ; 22 December 1887 – 26 April 1920) 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 analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then considered unsolvable. Ramanujan initially developed his own mathematical research in isolation: "He tried to interest the leading professional mathematicians in his work, but failed for the most part. What he had to show them was too novel, too unfamiliar, and additionally presented in unusual ways; they could not be bothered". Seeking mathematicians who could better understand his work, in 1913 he began a postal partnership with the English mathematician G. H. Hardy at the University of Cambridge, England. Recognizing Ramanujan's work as extraordinary, Hardy arranged for him to travel to Cambridge. In his notes, Ramanujan had produced groundbreaking new theorems, including some that Hardy said had "defeated him and his colleagues completely", in addition to rediscovering recently proven but highly advanced results.

During his short life, Ramanujan independently compiled nearly 3,900 results (mostly identities and equations). 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. Nearly all his claims have now been proven correct. The Ramanujan Journal, a scientific journal, was established to publish work in all areas of mathematics influenced by Ramanujan, and his notebooks—containing summaries of his published and unpublished results—have been analyzed and studied for decades since his death as a source of new mathematical ideas. As late as 2011 and again in 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. 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 only have been written by a mathematician of the highest calibre, comparing Ramanujan to mathematical geniuses such as Euler and Jacobi.

In 1919, ill health—now believed to have been hepatic amoebiasis (a complication from episodes of dysentery many years previously)—compelled Ramanujan's return to India, where he died in 1920 at the age of 32. His last letters to Hardy, written in January 1920, show that he was still continuing to produce new mathematical ideas and theorems. His "lost notebook", containing discoveries from the last year of his life, caused great excitement among mathematicians when it was rediscovered in 1976.

A deeply religious Hindu, Ramanujan credited his substantial mathematical capacities to divinity, and said the mathematical knowledge he displayed was revealed to him by his family goddess. "An equation for me has no meaning," he once said, "unless it expresses a thought of God."

The Bakhshali manuscript is an ancient Indian mathematical text written on birch bark that was found in 1881 in the village of Bakhshali, Mardan (near Peshawar in present-day Pakistan, historical Gandhara). It is perhaps "the oldest extant manuscript in Indian mathematics". For some portions a carbon-date was proposed of AD 224–383 while for other portions a carbon-date as late as AD 885–993 in a recent study, but the dating has been criticised by specialists on methodological grounds (Plofker et al. 2017 and Houben 2018 §3). The manuscript contains the earliest known Indian use of a zero symbol. It is written in a form of literary Sanskrit influenced by contemporary dialects.

Wootz steel is a crucible steel characterized by a pattern of bands. These bands are formed by sheets of microscopic carbides within a tempered martensite or pearlite matrix in higher carbon steel, or by ferrite and pearlite banding in lower carbon steels. It was a pioneering steel alloy developed in Southern India (Tamilakam present day Tamil Nadu and Kerala) and Sri Lanka in the 6th century BC and exported globally. It was also known in the ancient world by many different names including ukku, Hindvi steel, Hinduwani steel, Teling steel and seric iron.

Abu Rayhan al-Biruni (973 – after 1050) was a Persian scholar and polymath. He was from Khwarazm – a region which encompasses modern-day western Uzbekistan, and northern Turkmenistan.

Al-Biruni was well versed in physics, mathematics, astronomy, and natural sciences, and also distinguished himself as a historian, chronologist and linguist. He studied almost all fields of science and was compensated for his research and strenuous work. Royalty and powerful members of society sought out Al-Biruni to conduct research and study to uncover certain findings. He lived during the Islamic Golden Age. In addition to this type of influence, Al-Biruni was also influenced by other nations, such as the Greeks, who he took inspiration from when he turned to studies of philosophy. He was conversant in Khwarezmian, Persian, Arabic, Sanskrit, and also knew Greek, Hebrew and Syriac. He spent much of his life in Ghazni, then capital of the Ghaznavid dynasty, in modern-day central-eastern Afghanistan. In 1017 he travelled to the Indian subcontinent and authored a study of Indian culture Tārīkh al-Hind (History of India) after exploring the Hindu faith practiced in India. He was given the title "founder of Indology". He was an impartial writer on customs and creeds of various nations, and was given the title al-Ustadh ("The Master") for his remarkable description of early 11th-century India.

Mauryan polish describes one of the frequent characteristics of architecture and sculptures of the Maurya Empire in India (325 to 185 BCE), which gives a very smooth and shiny surface to the stone material, generally of sandstone or granite. Mauryan polish is found especially in the Ashoka Pillars as well as in some constructions like the Barabar Caves. The technique did not end with the empire, but continued to be "used on occasion up to the first or second century A.D.", although the presence of the polish sometimes complicates dating, as with the Didarganj Yakshi. According to the archaeologist John Marshall: the "extraordinary precision and accuracy which characterizes all Mauryan works, and which has never, we venture to say, been surpassed even by the finest workmanship on Athenian buildings".

Shatranj (Arabic: شطرنج‎; Persian: شترنگ‎; from Middle Persian chatrang) is an old form of chess, as played in the Sasanian Empire. Its origins are in the Indian game of chaturaṅga. Modern chess gradually developed from this game, as it was introduced to the western world via contacts in Muslim Andalusia (modern Spain) and in Sicily in the 10th century.