F. W. Levi
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F. W. Levi
Friedrich Wilhelm Daniel Levi (February 6, 1888 – January 1, 1966) was a German mathematician known for his work in abstract algebra, especially torsion-free abelian groups. He also worked in geometry, topology, set theory, and analysis. Early life and education Levi was born to Georg Levi and Emma Blum in Mulhouse in Alsace-Lorraine, then part of the German Empire. He received his Ph.D. in 1911 under Heinrich Martin Weber at the University of Strasbourg. Career Levi served his mandatory military service in the German Army in 1906–1907, and was called up again serving in the artillery during World War I, 1914–18. Awarded the Iron Cross, he was discharged as a lieutenant. In 1917, he married Barbara Fitting, with whom he eventually had three children (Paul Levi, Charlotte, and Suzanne). He taught at the University of Leipzig from 1920 to 1935, when the Nazi government dismissed him because of his Jewish ancestry. Friedrich and Barbara moved to Calcutta, India. In 1935 he ...
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University Of Leipzig
Leipzig University (german: Universität Leipzig), in Leipzig in Saxony, Germany, is one of the world's oldest universities and the second-oldest university (by consecutive years of existence) in Germany. The university was founded on 2 December 1409 by Frederick I, Elector of Saxony and his brother William II, Margrave of Meissen, and originally comprised the four scholastic faculties. Since its inception, the university has engaged in teaching and research for over 600 years without interruption. Famous alumni include Gottfried Wilhelm von Leibniz, Johann Wolfgang von Goethe, Leopold von Ranke, Friedrich Nietzsche, Robert Schumann, Richard Wagner, Tycho Brahe, Georgius Agricola, Angela Merkel and ten Nobel laureates associated with the university. History Founding and development until 1900 The university was modelled on the University of Prague, from which the German-speaking faculty members withdrew to Leipzig after the Jan Hus crisis and the Decree of Kutná H ...
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Michael Atiyah
Sir Michael Francis Atiyah (; 22 April 1929 – 11 January 2019) was a British-Lebanese mathematician specialising in geometry. His contributions include the Atiyah–Singer index theorem and co-founding topological K-theory. He was awarded the Fields Medal in 1966 and the Abel Prize in 2004. Life Atiyah grew up in Sudan and Egypt but spent most of his academic life in the United Kingdom at the University of Oxford and the University of Cambridge and in the United States at the Institute for Advanced Study. He was the President of the Royal Society (1990–1995), founding director of the Isaac Newton Institute (1990–1996), master of Trinity College, Cambridge (1990–1997), chancellor of the University of Leicester (1995–2005), and the President of the Royal Society of Edinburgh (2005–2008). From 1997 until his death, he was an honorary professor in the University of Edinburgh. Atiyah's mathematical collaborators included Raoul Bott, Friedrich Hirzebruch and Isadore Sin ...
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Raghavan Narasimhan
Raghavan Narasimhan (August 31, 1937 – October 3, 2015) was an Indian mathematician at the University of Chicago who worked on real and complex manifolds and who solved the Levi problem In mathematics, in the theory of several complex variables and complex manifolds, a Stein manifold is a complex submanifold of the vector space of ''n'' complex dimensions. They were introduced by and named after . A Stein space is similar to a St ... for complex manifolds. Early life and education He attended Loyola College in Madras, where, like many other well-known Indian mathematicians, he was taught by the French Jesuit priest Racine, and received his doctorate in 1963 from K. Chandrasekharan in Bombay. In 1966 he was at the Institute for Advanced Study at Princeton. Narasimhan was a professor at the University of Chicago. References Bibliography * * External links * {{DEFAULTSORT:Narasimhan, Raghavan 1937 births 2015 deaths 20th-century Indian mathematicians University o ...
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Mumbai
Mumbai (, ; also known as Bombay — the official name until 1995) is the capital city of the Indian state of Maharashtra and the ''de facto'' financial centre of India. According to the United Nations, as of 2018, Mumbai is the second-most populous city in India after Delhi and the eighth-most populous city in the world with a population of roughly 20 million (2 crore). As per the Indian government population census of 2011, Mumbai was the most populous city in India with an estimated city proper population of 12.5 million (1.25 crore) living under the Brihanmumbai Municipal Corporation. Mumbai is the centre of the Mumbai Metropolitan Region, the sixth most populous metropolitan area in the world with a population of over 23 million (2.3 crore). Mumbai lies on the Konkan coast on the west coast of India and has a deep natural harbour. In 2008, Mumbai was named an alpha world city. It has the highest number of millionaires and billionaires among all cities i ...
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Tata Institute Of Fundamental Research
Tata Institute of Fundamental Research (TIFR) is a public deemed research university located in Mumbai, India that is dedicated to basic research in mathematics and the sciences. It is a Deemed University and works under the umbrella of the Department of Atomic Energy of the Government of India. It is located at Navy Nagar, Colaba, Mumbai, with a campus in Bangalore, International Centre for Theoretical Sciences (ICTS), and an affiliated campus in Serilingampally near Hyderabad. TIFR conducts research primarily in the natural sciences, mathematics, the biological sciences and theoretical computer science. History In 1944, Homi J. Bhabha, known for his role in the development of the Indian atomic energy programme, wrote to the Sir Dorabji Tata Trust requesting financial assistance to set up a scientific research institute. With support from J.R.D. Tata, then chairman of the Tata Group, TIFR was founded on 1 June 1945, and Homi Bhabha was appointed its first director. The inst ...
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Calcutta Mathematical Society
The Calcutta Mathematical Society (CalMathSoc) is an association of professional mathematicians dedicated to the interests of mathematical research and education in India. The Society has its head office located at Kolkata, India. History Calcutta Mathematical Society was established on 6 September 1908 under the stewardship of Sir Asutosh Mookerjee, the then Vice-Chancellor of Calcutta University. He was the founder president of the Society, and was assisted by Sir Gurudas Banerjee, Prof. C.E. Cullis and Prof. Gauri Sankar Dey as Vice Presidents and Prof. Phanindra Lal Ganguly as the Founder Secretary of the organization. It is said that the founders were inspired by the structure and operations of the London Mathematical Society while forming this organization. Over more than the last 100 years, the Society has fostered teaching and research of theoretical and applied mathematical sciences through several pedagogic and technical activities. It is honored to be associated ...
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Levi Lemma
In theoretical computer science and mathematics, especially in the area of combinatorics on words, the Levi lemma states that, for all strings ''u'', ''v'', ''x'' and ''y'', if ''uv'' = ''xy'', then there exists a string ''w'' such that either :''uw = x'' and ''v'' = ''wy'' (if , ''u'', ≤ , ''x'', ) or :''u'' = ''xw'' and ''wv'' = ''y'' (if , ''u'', ≥ , ''x'', ) That is, there is a string ''w'' that is "in the middle", and can be grouped to one side or the other. Levi's lemma is named after Friedrich Wilhelm Levi, who published it in 1944. Applications Levi's lemma can be applied repeatedly in order to solve word equations; in this context it is sometimes called the Nielsen transformation by analogy with the Nielsen transformation for groups. For example, starting with an equation ''xα'' = ''yβ'' where ''x'' and ''y'' are the unknowns, we can transform it (assuming '', x, ≥ , y, '', so there exists ''t'' such tha ...
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Combinatorics On Words
Combinatorics on words is a fairly new field of mathematics, branching from combinatorics, which focuses on the study of words and formal languages. The subject looks at letters or symbols, and the sequences they form. Combinatorics on words affects various areas of mathematical study, including algebra and computer science. There have been a wide range of contributions to the field. Some of the first work was on square-free words by Axel Thue in the early 1900s. He and colleagues observed patterns within words and tried to explain them. As time went on, combinatorics on words became useful in the study of algorithms and coding. It led to developments in abstract algebra and answering open questions. Definition Combinatorics is an area of discrete mathematics. Discrete mathematics is the study of countable structures. These objects have a definite beginning and end. The study of enumerable objects is the opposite of disciplines such as analysis, where calculus and ...
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Finite Geometry
Finite is the opposite of infinite. It may refer to: * Finite number (other) * Finite set, a set whose cardinality (number of elements) is some natural number * Finite verb, a verb form that has a subject, usually being inflected or marked for person and/or tense or aspect * "Finite", a song by Sara Groves from the album '' Invisible Empires'' See also * * Nonfinite (other) Nonfinite is the opposite of finite * a nonfinite verb is a verb that is not capable of serving as the main verb in an independent clause * a non-finite clause In linguistics, a non-finite clause is a dependent or embedded clause that represen ... {{disambiguation fr:Fini it:Finito ...
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Levi Graph
In combinatorial mathematics, a Levi graph or incidence graph is a bipartite graph associated with an incidence structure.. See in particulap. 181 From a collection of points and lines in an incidence geometry or a projective configuration, we form a graph with one vertex per point, one vertex per line, and an edge for every incidence between a point and a line. They are named for Friedrich Wilhelm Levi, who wrote about them in 1942. The Levi graph of a system of points and lines usually has girth at least six: Any 4- cycles would correspond to two lines through the same two points. Conversely any bipartite graph with girth at least six can be viewed as the Levi graph of an abstract incidence structure. Levi graphs of configurations are biregular, and every biregular graph with girth at least six can be viewed as the Levi graph of an abstract configuration.. Levi graphs may also be defined for other types of incidence structure, such as the incidences between points and planes in ...
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University Of Calcutta
The University of Calcutta (informally known as Calcutta University; CU) is a Public university, public collegiate university, collegiate State university (India), state university in India, located in Kolkata, West Bengal, India. Considered one of best university, state research university all over India every year, CU has topped among India's best universities several times. It has 151 affiliated undergraduate colleges and 16 institutes in Kolkata and nearby areas. It was established on 24 January 1857 and is the oldest multidisciplinary and European-style institution in Asia. Today, the university's jurisdiction is limited to a few districts of West Bengal, but at the time of establishment it had a catchment area, ranging from Lahore to Myanmar. Within India, it is recognized as a "Five-Star University" and accredited an "A+" grade by the National Assessment and Accreditation Council (NAAC). The University of Calcutta was awarded the status of "Centre with Potential for Exce ...
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