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Tadepalli Venkata Narayana
T. V. Narayana (Tadepalli Venkata Narayana) (23 April 1930 – 6 February 1987) was an Indo-Canadian mathematical statistician and mathematician known for his contributions to combinatorics, lattice theory and mathematical statistics. A certain sequence of numbers called the Narayana numbers and a certain class of polynomials called Narayana polynomials, which were both named after him for his work in bringing out their importance in lattice path theory, have found extensive and varied applications in combinatorics and lattice theory. (Published by the Statistical Society of Canada.) Narayana was born in Madras (now Chennai), India on 23 April 1930. He studied at the Madras and Bombay universities in India before joining the North Carolina University for pursuing PhD studies under the supervision of Raj Chandra Bose. He was awarded the PhD degree in mathematical statistics in the year 1954 for a dissertation titled ''Sequential Procedures in Probit Analysis''. After securing PhD, Na ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Narayana Numbers
Narayana (, ) is one of the forms and epithets of Vishnu. In this form, the deity is depicted in yogic slumber under the Kshira Sagara, celestial waters, symbolising the masculine principle and associated with his role of creation. He is also known as Purushottama, and is considered the Brahman, Supreme Being in Vaishnavism. Etymology Narayan Aiyangar states the meaning of the Sanskrit word 'Narayana' can be traced back to the Manusmriti, Laws of Manu (also known as the ''Manusmriti'', a ''Dharmaśāstra'' text), which states: This definition is used throughout post-Vedic literature such as the ''Mahabharata'' and the ''Vishnu Purana''. 'Narayana' is also defined as the 'son of the Purusha, primeval man', and 'Supreme Being who is the foundation of all men'. *'Nara' (Sanskrit नार) means 'water' and 'man' *'Yana' (Sanskrit यान) means 'vehicle', 'vessel', or more loosely, 'abode' or 'home' L. B. Keny proposes that Narayana was associated with the Dravidian pe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Narayana Polynomials
Narayana polynomials are a class of polynomials whose coefficients are the Narayana numbers. The Narayana numbers and Narayana polynomials are named after the Canadian mathematician T. V. Narayana (1930–1987). They appear in several combinatorial problems. Definitions For a positive integer n and for an integer k\geq0, the Narayana number N(n,k) is defined by : N(n,k) = \frac. The number N(0,k) is defined as 1 for k=0 and as 0 for k\ne0. For a nonnegative integer n , the n-th Narayana polynomial N_n(z) is defined by :N_n(z) = \sum_^n N(n,k)z^k. The associated Narayana polynomial \mathcal N_n(z) is defined as the reciprocal polynomial of N_n(z): :\mathcal N_n(z)=z^nN_n\left(\tfrac\right). Examples The first few Narayana polynomials are :N_0(z)=1 :N_1(z)=z :N_2(z)=z^2+z :N_3(z)=z^3+3z^2+z :N_4(z)=z^4+6z^3+6z^2+z :N_5(z)=z^5+10z^4+20z^3+10z^2+z Properties A few of the properties of the Narayana polynomials and the associated Narayana polynomials are collected below. Furt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chennai
Chennai, also known as Madras (List of renamed places in India#Tamil Nadu, its official name until 1996), is the capital city, capital and List of cities in Tamil Nadu by population, largest city of Tamil Nadu, the southernmost states and territories of India, state of India. It is located on the Coromandel Coast of the Bay of Bengal. According to the 2011 Census of India, 2011 Indian census, Chennai is the List of most populous cities in India, sixth-most-populous city in India and forms the List of million-plus urban agglomerations in India, fourth-most-populous urban agglomeration. Incorporated in 1688, the Greater Chennai Corporation is the oldest municipal corporation in India and the second oldest in the world after City of London Corporation, London. Historically, the region was part of the Chola dynasty, Chola, Pandya dynasty, Pandya, Pallava dynasty, Pallava and Vijayanagara Empire, Vijayanagara kingdoms during various eras. The coastal land which then contained th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
India
India, officially the Republic of India, is a country in South Asia. It is the List of countries and dependencies by area, seventh-largest country by area; the List of countries by population (United Nations), most populous country since 2023; and, since its independence in 1947, the world's most populous democracy. Bounded by the Indian Ocean on the south, the Arabian Sea on the southwest, and the Bay of Bengal on the southeast, it shares land borders with Pakistan to the west; China, Nepal, and Bhutan to the north; and Bangladesh and Myanmar to the east. In the Indian Ocean, India is near Sri Lanka and the Maldives; its Andaman and Nicobar Islands share a maritime border with Thailand, Myanmar, and Indonesia. Modern humans arrived on the Indian subcontinent from Africa no later than 55,000 years ago., "Y-Chromosome and Mt-DNA data support the colonization of South Asia by modern humans originating in Africa. ... Coalescence dates for most non-European populations averag ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Madras University
The University of Madras is a public university, public State university (India), state university in Chennai (Madras), Tamil Nadu, India. Established in 1857, it is one of the oldest and most prominent universities in India, incorporated by an act of the Council of India, Legislative Council of India under the British India, British government. The university is the alma mater of presidents of India, five Presidents of India, including A. P. J. Abdul Kalam; Chief Justice of India, three Chief Justices of the Supreme Court of India; two Indian physics Nobel laureates, CV Raman and Subrahmanyan Chandrasekhar; several notable mathematicians including Srinivasa Ramanujan and Abel Prize winner S. R. Srinivasa Varadhan; and Turing Award winner Raj Reddy among others. The University of Madras is a collegiate university, collegiate research university and has six campuses in the city: Chepauk, Marina Beach, Marina, Guindy, Taramani, Maduravoyal and Chetpet. It offers more than 230 cou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bombay University
University of Mumbai is a public state university in Mumbai. It is one of the largest university systems in the world with over 549,000 students on its campuses and affiliated colleges. , the university had 711 affiliated colleges. It was established in 1857 following a dispatch from Sir Charles Wood, President of the Board of Control, to Governor-General Lord Dalhousie. There are courses available covering science, commerce and the arts. History Wood's despatch, drafted by Sir Wood in 1854, advocated a range of educational reforms in India, including the establishment of universities in major Indian cities. As such, the University of Bombay was established in 1857 after the presentation of a petition from the Bombay Association to the imperial Government of India. The University of Mumbai was modelled on similar universities in the United Kingdom, specifically the University of London. The first departments established were the Faculty of Arts at Elphinstone College in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indian Council Of Agricultural Research
The Indian Council of Agricultural Research (ICAR) is an autonomous body responsible for co-ordinating agricultural education and research in India. It reports to the Department of Agricultural Research and Education, Ministry of Agriculture. The Union Minister of Agriculture serves as its president. It is the largest network of agricultural research and education institutes in the world.''India 2016'', "Agriculture" p.93, Ministry of Information and Broadcasting, (New Delhi). The committee to Advise on Renovation and Rejuvenation of Higher Education (Yashpal Committee, 2009) has recommended setting up of a constitutional body – the National Commission for Higher Education and Research – which would be a unified supreme body to regulate all branches of higher education including agricultural education. Presently, regulation of agricultural education is the mandate of ICAR, Veterinary Council of India (Veterinary sub-discipline) and Indian Council of Forestry Research and Edu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Henri Poincare Institute
Henri is the French form of the masculine given name Henry, also in Estonian, Finnish, German and Luxembourgish. Bearers of the given name include: People French nobles * Henri I de Montmorency (1534–1614), Marshal and Constable of France * Henri I, Duke of Nemours (1572–1632), the son of Jacques of Savoy and Anna d'Este * Henri II, Duke of Nemours (1625–1659), the seventh Duc de Nemours * Henri, Count of Harcourt (1601–1666), French nobleman * Henri, Dauphin of Viennois (1296–1349), bishop of Metz * Henri de Gondi (other) * Henri de La Tour d'Auvergne, Duke of Bouillon (1555–1623), member of the powerful House of La Tour d'Auvergne * Henri Emmanuel Boileau, baron de Castelnau (1857–1923), French mountain climber * Henri, Grand Duke of Luxembourg (born 1955), the head of state of Luxembourg * Henri de Massue, Earl of Galway (1648–1720), French Huguenot soldier and diplomat, one of the principal commanders of Battle of Almansa * François-Henri de Montmo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
McGill University
McGill University (French: Université McGill) is an English-language public research university in Montreal, Quebec, Canada. Founded in 1821 by royal charter,Frost, Stanley Brice. ''McGill University, Vol. I. For the Advancement of Learning, 1801–1895.'' McGill-Queen's University Press, 1980. the university bears the name of James McGill, a Scottish merchant, whose bequest in 1813 established the University of McGill College. In 1885, the name of the university was officially changed to McGill University. Its main campus is on the slope of Mount Royal in downtown Montreal in the borough of Ville-Marie, with a second campus situated in Sainte-Anne-de-Bellevue, west of the main campus on Montreal Island. The university is one of two members of the Association of American Universities located outside the United States, alongside the University of Toronto, and is the only Canadian member of the Global University Leaders Forum (GULF) within the World Economic Forum. The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Canada
Canada is a country in North America. Its Provinces and territories of Canada, ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, making it the world's List of countries and dependencies by area, second-largest country by total area, with the List of countries by length of coastline, world's longest coastline. Its Canada–United States border, border with the United States is the world's longest international land border. The country is characterized by a wide range of both Temperature in Canada, meteorologic and Geography of Canada, geological regions. With Population of Canada, a population of over 41million people, it has widely varying population densities, with the majority residing in List of the largest population centres in Canada, urban areas and large areas of the country being sparsely populated. Canada's capital is Ottawa and List of census metropolitan areas and agglomerations in Canada, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The University Of Alberta
The University of Alberta (also known as U of A or UAlberta, ) is a public research university located in Edmonton, Alberta, Canada. It was founded in 1908 by Alexander Cameron Rutherford, the first premier of Alberta, and Henry Marshall Tory, the university's first president. It was enabled through the ''Post-secondary Learning Act.'' The university is considered a "comprehensive academic and research university" (CARU), which means that it offers a range of academic and professional programs that generally lead to undergraduate and graduate level credentials. The university comprises four campuses in Edmonton, an Augustana Campus in Camrose, Alberta, Camrose, and a staff centre in downtown Calgary. The original north campus consists of 150 buildings covering 50 city blocks on the south rim of the North Saskatchewan River valley parks system, North Saskatchewan River valley, across and west from downtown Edmonton. About 37,000 students from Canada and 150 other countries partici ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
