Leopoldo Nachbin
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Leopoldo Nachbin
Leopoldo Nachbin (7 January 1922 – 3 April 1993) was a Jewish-Brazilian mathematician who dealt with topology, and harmonic analysis. Nachbin was born in Recife, and is best known for Nachbin's theorem. He died, aged 71, in Rio de Janeiro. Nachbin was a Ph.D. student of Laurent Schwartz. His Ph.D. students include Francisco Antônio Dória and Seán Dineen. He was an invited speaker at the International Congress of Mathematicians This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." ... (ICM) of 1962 in Stockholm.International Mathematical Union (IMU) "ICM Plenary and Invited Speakers since 1897" ''mathunion.org''. Retrieved on 8 July 2017. Bibliography *''Topology and Order'' (Krieger Pub. Co., 1965) *''Introdução à Álgebra'' (McGraw-Hill, 1971, in Portuguese) References ...
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Brazilian Jews
The history of the Jews in Brazil begins during the settlement of Europeans in the new world. Although only baptized Christians were subject to the Inquisition, Jews started settling in Brazil when the Inquisition reached Portugal, in the 16th century. They arrived in Brazil during the period of Dutch rule, setting up in Recife the first synagogue in the Americas, the Kahal Zur Israel Synagogue, as early as 1636. Most of those Jews were Sephardic Jews who had fled the Inquisition in Spain and Portugal to the religious freedom of the Netherlands. The Portuguese Inquisition expanded its scope of operations from Portugal to Portugal's colonial possessions, including Brazil, Cape Verde, and Goa, where it continued investigating and trying cases based on supposed breaches of orthodox Roman Catholicism until 1821. As a colony of Portugal, Brazil was affected by the nearly 300 years of repression of the Portuguese Inquisition, which began in 1536. In ''The Wealth of Nations'' Adam ...
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ...
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Topology
In mathematics, topology (from the Greek language, Greek words , and ) is concerned with the properties of a mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformations, such as Stretch factor, stretching, Twist (mathematics), twisting, crumpling, and bending; that is, without closing holes, opening holes, tearing, gluing, or passing through itself. A topological space is a set (mathematics), set endowed with a structure, called a ''Topology (structure), topology'', which allows defining continuous deformation of subspaces, and, more generally, all kinds of continuity (mathematics), continuity. Euclidean spaces, and, more generally, metric spaces are examples of a topological space, as any distance or metric defines a topology. The deformations that are considered in topology are homeomorphisms and homotopy, homotopies. A property that is invariant under such deformations is a topological property. Basic exampl ...
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Harmonic Analysis
Harmonic analysis is a branch of mathematics concerned with the representation of Function (mathematics), functions or signals as the Superposition principle, superposition of basic waves, and the study of and generalization of the notions of Fourier series and Fourier transforms (i.e. an extended form of Fourier analysis). In the past two centuries, it has become a vast subject with applications in areas as diverse as number theory, representation theory, signal processing, quantum mechanics, tidal analysis and neuroscience. The term "harmonics" originated as the Ancient Greek word ''harmonikos'', meaning "skilled in music". In physical eigenvalue problems, it began to mean waves whose frequencies are Multiple (mathematics), integer multiples of one another, as are the frequencies of the Harmonic series (music), harmonics of music notes, but the term has been generalized beyond its original meaning. The classical Fourier transform on R''n'' is still an area of ongoing research, ...
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Recife
That it may shine on all ( Matthew 5:15) , image_map = Brazil Pernambuco Recife location map.svg , mapsize = 250px , map_caption = Location in the state of Pernambuco , pushpin_map = Brazil#South America , pushpin_map_caption = , pushpin_relief = yes , coordinates = , subdivision_type = Country , subdivision_name = , subdivision_type1 = Region , subdivision_type2 = State , subdivision_name1 = Northeast , subdivision_name2 = , established_title = Founded , established_date = March 12, 1537 , established_title2 = Incorporated (as village) , established_date2 = 1709 , established_title3 = Incorporated (as city) , established_date3 = 1823 , leader_title = Mayor , leader_name = João Henrique Campos ( PSB) , leader_title1 = Vice Mayor , leader_name1 = Isabella de Roldão ( PT) , area_total_km2 = 218 , ar ...
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Nachbin's Theorem
In mathematics, in the area of complex analysis, Nachbin's theorem (named after Leopoldo Nachbin) is commonly used to establish a bound on the growth rates for an analytic function. This article provides a brief review of growth rates, including the idea of a function of exponential type. Classification of growth rates based on type help provide a finer tool than big O or Landau notation, since a number of theorems about the analytic structure of the bounded function and its integral transforms can be stated. In particular, Nachbin's theorem may be used to give the domain of convergence of the generalized Borel transform, given below. Exponential type A function ''f''(''z'') defined on the complex plane is said to be of exponential type if there exist constants ''M'' and α such that :, f(re^), \le Me^ in the limit of r\to\infty. Here, the complex variable ''z'' was written as z=re^ to emphasize that the limit must hold in all directions θ. Letting α stand for the infimum o ...
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Rio De Janeiro
Rio de Janeiro ( , , ; literally 'River of January'), or simply Rio, is the capital of the state of the same name, Brazil's third-most populous state, and the second-most populous city in Brazil, after São Paulo. Listed by the GaWC as a beta global city, Rio de Janeiro is the sixth-most populous city in the Americas. Part of the city has been designated as a World Heritage Site, named "Rio de Janeiro: Carioca Landscapes between the Mountain and the Sea", on 1 July 2012 as a Cultural Landscape. Founded in 1565 by the Portuguese, the city was initially the seat of the Captaincy of Rio de Janeiro, a domain of the Portuguese Empire. In 1763, it became the capital of the State of Brazil, a state of the Portuguese Empire. In 1808, when the Portuguese Royal Court moved to Brazil, Rio de Janeiro became the seat of the court of Queen Maria I of Portugal. She subsequently, under the leadership of her son the prince regent João VI of Portugal, raised Brazil to the dignity of a k ...
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Laurent Schwartz
Laurent-Moïse Schwartz (; 5 March 1915 – 4 July 2002) was a French mathematician. He pioneered the theory of distributions, which gives a well-defined meaning to objects such as the Dirac delta function. He was awarded the Fields Medal in 1950 for his work on the theory of distributions. For several years he taught at the École polytechnique. Biography Family Laurent Schwartz came from a Jewish family of Alsatian origin, with a strong scientific background: his father was a well-known surgeon, his uncle Robert Debré (who contributed to the creation of UNICEF) was a famous pediatrician, and his great-uncle-in-law, Jacques Hadamard, was a famous mathematician. During his training at Lycée Louis-le-Grand to enter the École Normale Supérieure, he fell in love with Marie-Hélène Lévy, daughter of the probabilist Paul Lévy who was then teaching at the École polytechnique. They married in 1938. Later they had two children, Marc-André and Claudine. Marie-Hélène w ...
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Francisco Antônio Dória
Francisco is the Spanish and Portuguese form of the masculine given name ''Franciscus''. Nicknames In Spanish, people with the name Francisco are sometimes nicknamed "Paco". San Francisco de Asís was known as ''Pater Comunitatis'' (father of the community) when he founded the Franciscan order, and "Paco" is a short form of ''Pater Comunitatis''. In areas of Spain where Basque is spoken, "Patxi" is the most common nickname; in the Catalan areas, "Cesc" (short for Francesc) is often used. In Spanish Latin America and in the Philippines, people with the name Francisco are frequently called "Pancho". " Kiko" is also used as a nickname, and "Chicho" is another possibility. In Portuguese, people named Francisco are commonly nicknamed " Chico" (''shíco''). This is also a less-common nickname for Francisco in Spanish. People with the given name * Pope Francis is rendered in the Spanish and Portuguese languages as Papa Francisco * Francisco Acebal (1866–1933), Spanish writer and ...
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Seán Dineen
Seán Dineen (born February 1944) is an Irish mathematician specialising in complex analysis. His academic career was spent, in the main, at University College Dublin (UCD) where he was Professor of Mathematics, serving as Head of Department and as Head of the School of Mathematical Sciences before retiring in 2009. Education Seán Dineen was born in Clonakilty, Co. Cork, Ireland in February 1944. He attended St Mary's, the first secondary school for boys in Clonakilty, which his parents Jerry (Jeremiah) and Margaret Dineen had founded in 1938. His father had died in 1953 and the school was subsequently run by his mother. He entered University College Cork (UCC) in 1961 to study mathematics, graduating with honours BSc in mathematics in 1964. While at UCC, he was involved in setting up the student mathematics society there. His tutors and lecturers included Finbarr Holland, Michael Mortell, Tagdh Carey, Paddy Kennedy, Paddy Barry and Siobhán O'Shea (later Siobhán Vernon). He c ...
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List Of International Congresses Of Mathematicians Plenary And Invited Speakers
This is a list of International Congresses of Mathematicians Plenary and Invited Speakers. Being invited to talk at an International Congress of Mathematicians has been called "the equivalent, in this community, of an induction to a hall of fame." The current list of Plenary and Invited Speakers presented here is based on the ICM's post-WW II terminology, in which the one-hour speakers in the morning sessions are called "Plenary Speakers" and the other speakers (in the afternoon sessions) whose talks are included in the ICM published proceedings are called "Invited Speakers". In the pre-WW II congresses the Plenary Speakers were called "Invited Speakers". By congress year 1897, Zürich * Jules Andrade * Léon Autonne *Émile Borel * N. V. Bougaïev *Francesco Brioschi *Hermann Brunn *Cesare Burali-Forti *Charles Jean de la Vallée Poussin *Gustaf Eneström *Federigo Enriques *Gino Fano * Zoel García de Galdeano * Francesco Gerbaldi *Paul Gordan *Jacques Hadamard * Adolf Hurwitz ...
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