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Ravindra Bapat
Ravindra B. Bapat is an Indian mathematician known for the Bapat–Beg theorem. Education He obtained B.Sc. from University of Mumbai, M.Stat. from the Indian Statistical Institute, New Delhi and Ph.D. from the University of Illinois at Chicago in 1981. His research interests include major contributions to matrix inequalities, matrices in graph theory, generalized inverses, and matrix analysis. Career In addition to the numerous research papers in the reputed journals, Bapat has written books on linear algebra published by Hindustan Book Agency, Springer, and Cambridge University Press. He has served on the editorial boards of ''Electronic Journal of Linear Algebra'', ''Indian Journal of Pure and Applied Mathematics'', ''Kerala Mathematical Association Bulletin'', and ''Linear and Multilinear Algebra''. He is national coordinator for the Mathematics Olympiad and was head of the Indian Statistical Institute, Delhi Centre from 2007 to 2011. He is a Visiting Professor of Mathe ...
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India
India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. 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 in the vicinity of 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 average to between 73–55 ka.", "Modern human beings—''Homo sapiens''—originated in Africa. Then, int ...
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Matrix (mathematics)
In mathematics, a matrix (plural matrices) is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object. For example, \begin1 & 9 & -13 \\20 & 5 & -6 \end is a matrix with two rows and three columns. This is often referred to as a "two by three matrix", a "-matrix", or a matrix of dimension . Without further specifications, matrices represent linear maps, and allow explicit computations in linear algebra. Therefore, the study of matrices is a large part of linear algebra, and most properties and operations of abstract linear algebra can be expressed in terms of matrices. For example, matrix multiplication represents composition of linear maps. Not all matrices are related to linear algebra. This is, in particular, the case in graph theory, of incidence matrices, and adjacency matrices. ''This article focuses on matrices related to linear algebra, and, unle ...
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Indian Academy Of Sciences
The Indian Academy of Sciences, Bangalore was founded by Indian Physicist and Nobel Laureate C. V. Raman, and was registered as a society on 24 April 1934. Inaugurated on 31 July 1934, it began with 65 founding fellows. The first general meeting of Fellows, held on the same day, elected Raman as president, and adopted the constitution of the Academy. Objectives The aims of the Academy are to: * Promote progress in pure and applied branches of science. * Encourage important research in various branches of science. * Represent the scientific work of India internationally. * Publish work relating to scientific research initiated by the Academy, Provincial Academies, Universities and Government Scientific Institutions. * Organise meetings of Committees and Conferences to discuss papers submitted to the Academy. * Advise Government and other bodies on scientific and other matters referred to the Academy. Publications The first issue of the Academy Proceedings appeared in two ...
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Indian Mathematical Society
Indian Mathematical Society (IMS) is the oldest organization in India devoted to the promotion of study and research in mathematics. The Society was founded in April 1907 by V. Ramaswami Aiyar with its headquarters at Pune. The Society started its activities under the tentatively proposed name ''Analytic Club'' and the name was soon changed to ''Indian Mathematical Club''. After the adoption of a new constitution in 1910, the society acquired its present name, namely, the Indian Mathematical Society. The first president of the Society was B. Hanumantha Rao. Publications The Society publishes two periodicals both of which are quarterly: *The ''Journal of the Indian Mathematical Society'' (''JIMS'': ISSN 0019-5839) *''The Mathematics Student'' (''Math Student'': ) The 1911 volume of the ''Journal'' contains one of the earliest contributions of the Indian mathematician Srinivasa Ramanujan. It was in the form of a set of questions. A fifteen page paper entitled ''Some propertie ...
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Ashoka University
Ashoka University is a philanthropy-driven private university located in the National Capital Region (NCR), India, focusing on a liberal education in the Humanities, the Social Sciences, and the Sciences. The university is on a mission to build an inclusive institution of excellence in teaching and research, to nurture responsible leaders for India and the world, and to be a pioneering force for interdisciplinary higher education. The university campus is 100 per cent accessible to meet the needs of specially-abled students. Its "philosophy of creating by giving" has been replicated by other eminent institutions. Ashoka University has enabled thousands of students to become well rounded individuals who can think critically about issues from multiple perspectives, communicate effectively and become leaders with a commitment to public service. At Ashoka, education carries a strong emphasis on foundational knowledge, thorough academic research and hands-on experience with real-wor ...
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Visiting Professor
In academia, a visiting scholar, visiting researcher, visiting fellow, visiting lecturer, or visiting professor is a scholar from an institution who visits a host university to teach, lecture, or perform research on a topic for which the visitor is valued. In many cases the position is not salaried because visitor is salaried by their home institution (or partially salaried, as in some cases of sabbatical leave from US universities). Some visiting positions are salaried. Typically, a visiting scholar may stay for a couple of months or even a year,UT"Visiting Scholar". The University of Texas at Austin. though the stay can be extended. Typically, a visiting scholar is invited by the host institution, and it is not unusual for them to provide accommodation. Such an invitation is often regarded as recognizing the scholar's prominence in the field. Attracting prominent visiting scholars often allows the permanent faculty and graduate students to cooperate with prominent academic ...
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Mathematics Olympiad
Mathematics competitions or mathematical olympiads are competitive events where participants complete a mathematics, math test. These tests may require multiple choice or numeric answers, or a detailed written solution or proof. International mathematics competitions * Championnat International de Jeux Mathématiques et Logiques — for all ages, mainly for French-speaking countries, but participation is not limited by language. * China Girls Mathematical Olympiad (CGMO) — held annually for teams of girls representing different regions within China and a few other countries. * European Girls' Mathematical Olympiad (EGMO) — since April 2012 * Integration Bee — competition in integral calculus held in various institutions of higher learning in the United States and some other countries * Interdisciplinary Contest in Modeling (ICM) — team contest for undergraduates * International Mathematical Modeling Challenge — team contest for high school students * In ...
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Graph Theory
In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are connected by '' edges'' (also called ''links'' or ''lines''). A distinction is made between undirected graphs, where edges link two vertices symmetrically, and directed graphs, where edges link two vertices asymmetrically. Graphs are one of the principal objects of study in discrete mathematics. Definitions Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures. Graph In one restricted but very common sense of the term, a graph is an ordered pair G=(V,E) comprising: * V, a set of vertices (also called nodes or points); * E \subseteq \, a set of edges (also called links or lines), which are unordered pairs of vertices (that is, an edge is associated with t ...
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University Of Illinois At Chicago
The University of Illinois Chicago (UIC) is a Public university, public research university in Chicago, Illinois. Its campus is in the Near West Side, Chicago, Near West Side community area, adjacent to the Chicago Loop. The second campus established under the University of Illinois system, UIC is also the largest university in the Chicago metropolitan area, having more than 33,000 students enrolled in 16 colleges. It is Carnegie Classification of Institutions of Higher Education, classified among "R1: Doctoral Universities – Very high research activity." The roots of UIC can be traced to the establishment of the Chicago College of Pharmacy in 1859, which was joined in the 1800s by additional medical related schools. It began an undergraduate program toward the end of World War II, and developed its West side campus in the 1960s. In 1982, it consolidated the University of Illinois at Chicago Circle and the University of Illinois at the Medical Center into the present universi ...
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University Of Illinois, Chicago
The University of Illinois Chicago (UIC) is a public research university in Chicago, Illinois. Its campus is in the Near West Side community area, adjacent to the Chicago Loop. The second campus established under the University of Illinois system, UIC is also the largest university in the Chicago metropolitan area, having more than 33,000 students enrolled in 16 colleges. It is classified among "R1: Doctoral Universities – Very high research activity." The roots of UIC can be traced to the establishment of the Chicago College of Pharmacy in 1859, which was joined in the 1800s by additional medical related schools. It began an undergraduate program toward the end of World War II, and developed its West side campus in the 1960s. In 1982, it consolidated the University of Illinois at Chicago Circle and the University of Illinois at the Medical Center into the present university. Today, the university has become a global leader for a number of subjects, such as nursing, pharmac ...
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New Delhi
New Delhi (, , ''Naī Dillī'') is the capital of India and a part of the National Capital Territory of Delhi (NCT). New Delhi is the seat of all three branches of the government of India, hosting the Rashtrapati Bhavan, Parliament House, and the Supreme Court of India. New Delhi is a municipality within the NCT, administered by the NDMC, which covers mostly Lutyens' Delhi and a few adjacent areas. The municipal area is part of a larger administrative district, the New Delhi district. Although colloquially ''Delhi'' and ''New Delhi'' are used interchangeably to refer to the National Capital Territory of Delhi, both are distinct entities, with both the municipality and the New Delhi district forming a relatively small part of the megacity of Delhi. The National Capital Region is a much larger entity comprising the entire NCT along with adjoining districts in neighbouring states, including Ghaziabad, Noida, Gurgaon and Faridabad. The foundation stone of New Delhi was l ...
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