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K. R. Parthasarathy (probabilist)
Kalyanapuram Rangachari Parthasarathy (born 25 June 1936) is professor emeritus at the Indian Statistical Institute and a pioneer of quantum stochastic calculus. Biography He was born in 1936 at Chennai, into a modest but deeply religious Hindu Brahmin family. He studied at the Ramakrishna Mission Vivekananda College, where he completed the B.A. (Honours) course in Mathematics, and moved to the Indian Statistical Institute, Kolkata, where he completed his Ph.D., under the supervision of C. R. Rao in 1962. He was one of the "famous four" (the others were R. Ranga Rao, Veeravalli S. Varadarajan, and S. R. Srinivasa Varadhan) in ISI during 1956–1963. He was awarded the first Ph.D. degree of ISI. He received the Shanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Science in 1977 and the TWAS Prize in 1996. Research He worked at the Steklov Mathematical Institute, USSR Academy of Sciences (1962–63), as Lecturer where he collaborated with Andrey Kolmogoro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chennai
Chennai (, ), formerly known as Madras ( the official name until 1996), is the capital city of Tamil Nadu, the southernmost Indian state. The largest city of the state in area and population, Chennai is located on the Coromandel Coast of the Bay of Bengal. According to the 2011 Indian census, Chennai is the sixth-most populous city in the country and forms the fourth-most populous urban agglomeration. The Greater Chennai Corporation is the civic body responsible for the city; it is the oldest city corporation of India, established in 1688—the second oldest in the world after London. The city of Chennai is coterminous with Chennai district, which together with the adjoining suburbs constitutes the Chennai Metropolitan Area, the 36th-largest urban area in the world by population and one of the largest metropolitan economies of India. The traditional and de facto gateway of South India, Chennai is among the most-visited Indian cities by foreign tourists. It was ranked the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
USSR Academy Of Sciences
The Academy of Sciences of the Soviet Union was the highest scientific institution of the Soviet Union from 1925 to 1991, uniting the country's leading scientists, subordinated directly to the Council of Ministers of the Soviet Union (until 1946 – to the Council of People's Commissars of the Soviet Union). In 1991, by the decree of the President of the Russian Soviet Federative Socialist Republic, the Russian Academy of Sciences was established on the basis of the Academy of Sciences of the Soviet Union. History Creation of the Academy of Sciences of the Soviet Union The Academy of Sciences of the Soviet Union was formed by a resolution of the Central Executive Committee and the Council of People's Commissars of the Soviet Union dated July 27, 1925 on the basis of the Russian Academy of Sciences (before the February Revolution – the Imperial Saint Petersburg Academy of Sciences). In the first years of Soviet Russia, the Institute of the Academy of Sciences was perceived ra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Metric Spaces
In mathematics, a metric space is a set together with a notion of ''distance'' between its elements, usually called points. The distance is measured by a function called a metric or distance function. Metric spaces are the most general setting for studying many of the concepts of mathematical analysis and geometry. The most familiar example of a metric space is 3-dimensional Euclidean space with its usual notion of distance. Other well-known examples are a sphere equipped with the angular distance and the hyperbolic plane. A metric may correspond to a metaphorical, rather than physical, notion of distance: for example, the set of 100-character Unicode strings can be equipped with the Hamming distance, which measures the number of characters that need to be changed to get from one string to another. Since they are very general, metric spaces are a tool used in many different branches of mathematics. Many types of mathematical objects have a natural notion of distance and t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Measure
In mathematics, a probability measure is a real-valued function defined on a set of events in a probability space that satisfies measure properties such as ''countable additivity''. The difference between a probability measure and the more general notion of measure (which includes concepts like area or volume) is that a probability measure must assign value 1 to the entire probability space. Intuitively, the additivity property says that the probability assigned to the union of two disjoint events by the measure should be the sum of the probabilities of the events; for example, the value assigned to "1 or 2" in a throw of a dice should be the sum of the values assigned to "1" and "2". Probability measures have applications in diverse fields, from physics to finance and biology. Definition The requirements for a function \mu to be a probability measure on a probability space are that: * \mu must return results in the unit interval , 1 returning 0 for the empty set and 1 for t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bertram Kostant
Bertram Kostant (May 24, 1928 – February 2, 2017) was an American mathematician who worked in representation theory, differential geometry, and mathematical physics. Early life and education Kostant grew up in New York City, where he graduated from Stuyvesant High School in 1945. He went on to obtain an undergraduate degree in mathematics from Purdue University in 1950. He earned his Ph.D. from the University of Chicago in 1954, under the direction of Irving Segal, where he wrote a dissertation on representations of Lie groups. Career in mathematics After time at the Institute for Advanced Study, Princeton University, and the University of California, Berkeley, he joined the faculty at the Massachusetts Institute of Technology, where he remained until his retirement in 1993. Kostant's work has involved representation theory, Lie groups, Lie algebras, homogeneous spaces, differential geometry and mathematical physics, particularly symplectic geometry. He has given several ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indian Statistical Institute, Delhi Centre
Indian Statistical Institute (ISI) is a higher education and research institute which is recognized as an Institute of National Importance by the 1959 act of the Indian parliament. It grew out of the Statistical Laboratory set up by Prasanta Chandra Mahalanobis in Presidency College, Kolkata. Established in 1931, this unique institution of India is one of the oldest institutions focused on statistics, and its early reputation led it to being adopted as a model for the first US institute of statistics set up at the Research Triangle, North Carolina by Gertrude Mary Cox. Mahalanobis, the founder of ISI, was deeply influenced by the wisdom and guidance of Rabindranath Tagore and Brajendranath Seal. Under his leadership, the institute initiated and promoted the interaction of statistics with natural and social sciences to advance the role of statistics as a key technology by explicating the twin aspectsits general applicability and its dependence on other disciplines for its own ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Indian Institute Of Technology, Delhi
The Indian Institute of Technology, Delhi is a public institute of technology located in New Delhi, India. It is one of the 23 IITs created to be Centres of Excellence for training, research and development in science, engineering and technology in India. Established in 1961, was formally inaugurated in August 1961 by Prof. Humayun Kabir, Minister of Scientific Research & Cultural Affairs. First admissions were made in 1961.The current campus has an area of 320 acres (or 1.3 km2) and is bounded by the Sri Aurobindo Marg on the east, the Jawaharlal Nehru University Complex on the west, the National Council of Educational Research and Training on the south, and the New Ring Road on the north, and flanked by Qutub Minar and the Hauz Khas monuments. The institute was later decreed in the Institutes of National Importance under the Institutes of Technology Amendment Act, 1963, and accorded the status of a full University with powers to decide its academic policy, cond ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bombay University
The University of Mumbai is a collegiate, state-owned, public research university in Mumbai. The University of Mumbai is one of the largest universities in the world. , the university had 711 affiliated colleges. Ratan Tata is the appointed head of the advisory council. History In accordance with "Wood's despatch", drafted by Sir Charles Wood in 1854, the University of Bombay was established in 1857 after the presentation of a petition from the Bombay Association to the British colonial government in 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 1835 and the Faculty of Medicine at Grant Medical College in 1845. Both colleges existed before the university was founded and surrendered their degree-granting privileges to the university. The first degrees awarded in 1862 were Bachelor of Arts and Licentiate in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Robin Lyth Hudson
Robin Lyth Hudson was a British mathematician notable for his contribution to quantum probability. Education and career Robin Lyth Hudson received his Ph.D. from the University of Oxford in 1966 under John T. Lewis with a thesis entitled ''Generalised Translation-Invariant Mechanics''. He was appointed assistant lecturer at the University of Nottingham in 1964, promoted to a chair in 1985 and served as Head of Department from 1987 to 1990. He spent sabbatical semesters in Heidelberg (1978), Austin Texas (1983) and Boulder Colorado (1996). After taking early retirement in 1997, he held part-time research posts at Nottingham Trent University (1997-2005), the Slovak Academy of Sciences (1997-2000) and Loughborough University (2005–21), and a visiting professorship at the University of Łódź (2002) which awarded him an honorary doctorate in 2013. Hudson was a mathematical physicist who was one of the pioneers of quantum probability. An early result, now known as Hudson’s theor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Nottingham
The University of Nottingham is a public university, public research university in Nottingham, United Kingdom. It was founded as University College Nottingham in 1881, and was granted a royal charter in 1948. The University of Nottingham belongs to the research intensive Russell Group association. Nottingham's main campus (University Park Campus, Nottingham, University Park) with Jubilee Campus and teaching hospital (Queen's Medical Centre) are located within the City of Nottingham, with a number of smaller campuses and sites elsewhere in Nottinghamshire and Derbyshire. Outside the UK, the university has campuses in Semenyih, Malaysia, and Ningbo, China. Nottingham is organised into five constituent faculties, within which there are more than 50 schools, departments, institutes and research centres. Nottingham has about 45,500 students and 7,000 staff, and had an income of £694 million in 2020–21, of which £114.9 million was from research grants and contracts. The institution's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Manchester
, mottoeng = Knowledge, Wisdom, Humanity , established = 2004 – University of Manchester Predecessor institutions: 1956 – UMIST (as university college; university 1994) 1904 – Victoria University of Manchester 1880 – Victoria University 1851 – Owens College 1824 – Manchester Mechanics' Institute , endowment = £242.2 million (2021) , budget = £1.10 billion (2020–21) , chancellor = Nazir Afzal (from August 2022) , head_label = President and vice-chancellor , head = Nancy Rothwell , academic_staff = 5,150 (2020) , total_staff = 12,920 (2021) , students = 40,485 (2021) , undergrad = () , postgrad = () , city = Manchester , country = England, United Kingdom , campus = Urban and suburban , colours = Manchester Purple Manchester Yellow , free_label = Scarf , free = , website = , logo = UniOfManchesterLogo.svg , affiliations = Universities Research Association Sutton 30 Russell Group EUA N8 Group NWUA ACUUniversities UK The Universit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
