Felipe Cucker
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Felipe Cucker
Juan Felipe Cucker Farkas (born 1958) is an Uruguayan mathematician and theoretical computer scientist who has done research into the complexity theory of the Blum–Shub–Smale computational model and the complexity of numerical algorithms in linear programming and numerical algebraic geometry. Biography Cucker was born in Montevideo in 1958. Also: . Due to the situation in Uruguay in the 70s, he emigrated to Spain to study the bachelor of mathematics at the University of Barcelona, which he completed in 1983. He obtained his Ph.D. degree at the University of Cantabria and University of Rennes 1 in 1986 under the supervision Tomás Recio and Michel Coste. His thesis was about Nash functions on real algebraic varieties. From 1987 to 1992 Cucker was professor at the Polytechnic University of Catalonia. In 1992 Cucker became professor at the recently created Pompeu Fabra University. In 1995 he was promoted to chair professor at this university. In 1993 he orga ...
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Montevideo
Montevideo () is the Capital city, capital and List of cities in Uruguay, largest city of Uruguay. According to the 2011 census, the city proper has a population of 1,319,108 (about one-third of the country's total population) in an area of . Montevideo is situated on the southern coast of the country, on the northeastern bank of the Río de la Plata. The city was established in 1724 by a Spanish soldier, Bruno Mauricio de Zabala, as a strategic move amidst the Spanish people, Spanish-Portuguese people, Portuguese dispute over the La Plata Basin, platine region. It was also under brief British invasions of the Río de la Plata, British rule in 1807, but eventually the city was retaken by Spanish criollos who defeated the British invasions of the River Plate. Montevideo is the seat of the administrative headquarters of Mercosur and ALADI, Latin America's leading trade blocs, a position that entailed comparisons to the role of Brussels in Europe. The 2019 Mercer's report on qual ...
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Computational Complexity
In computer science, the computational complexity or simply complexity of an algorithm is the amount of resources required to run it. Particular focus is given to computation time (generally measured by the number of needed elementary operations) and memory storage requirements. The complexity of a problem is the complexity of the best algorithms that allow solving the problem. The study of the complexity of explicitly given algorithms is called analysis of algorithms, while the study of the complexity of problems is called computational complexity theory. Both areas are highly related, as the complexity of an algorithm is always an upper bound on the complexity of the problem solved by this algorithm. Moreover, for designing efficient algorithms, it is often fundamental to compare the complexity of a specific algorithm to the complexity of the problem to be solved. Also, in most cases, the only thing that is known about the complexity of a problem is that it is lower than the c ...
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Centre De Recerca Matemàtica
The Centre de Recerca Matemàtica (CRM) () is a consortium, with its own legal status, integrated by the Institut d'Estudis Catalans (IEC) and the Catalan Government. It is a research institute associated with the Universitat Autònoma de Barcelona. The CRM is in essence a horizontal infrastructure that gives support to mathematical research groups and encourages the pursuit of emerging lines of research. The centre's activities are divided into two very different categories. The first category places the centre as organiser of international competitions (intensive research programmes, advances courses, conferences, etc.) and as a centre for long-term visiting researchers working in collaboration with the research community of Catalonia. Secondly, since 2008 CRM includes its own research groups, which allows it to open lines of research in different applied areas. The current director of the CRM is Lluís Alsedà. The CRM is a member of ERCOM (European Research Centres in Mathemati ...
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Polytechnic University Of Catalonia
The Technical University of Catalonia ( ca, Universitat Politècnica de Catalunya, , es, link=no, Universidad Politécnica de Cataluña; UPC), currently referred to as BarcelonaTech, is the largest engineering university in Catalonia, Spain. It also offers programs in other disciplines such as mathematics and architecture. UPC's objectives are based on internationalization, as it is one of Europe's technical universities with the most international PhD students and the university with the largest share of international master's degree students. UPC is a university aiming at achieving the highest degree of engineering/technical excellence and has bilateral agreements with several top-ranked European universities. UPC is a member of the Top Industrial Managers for Europe network, which allows for student exchanges between leading European engineering schools. It is also a member of several university federations, including the Conference of European Schools for Advanced Engi ...
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Professor
Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin as a "person who professes". Professors are usually experts in their field and teachers of the highest rank. In most systems of List of academic ranks, academic ranks, "professor" as an unqualified title refers only to the most senior academic position, sometimes informally known as "full professor". In some countries and institutions, the word "professor" is also used in titles of lower ranks such as associate professor and assistant professor; this is particularly the case in the United States, where the unqualified word is also used colloquially to refer to associate and assistant professors as well. This usage would be considered incorrect among other academic communities. However, the otherwise unqualified title "Professor" designated with a capital let ...
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Algebraic Variety
Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Modern definitions generalize this concept in several different ways, while attempting to preserve the geometric intuition behind the original definition. Conventions regarding the definition of an algebraic variety differ slightly. For example, some definitions require an algebraic variety to be irreducible, which means that it is not the union of two smaller sets that are closed in the Zariski topology. Under this definition, non-irreducible algebraic varieties are called algebraic sets. Other conventions do not require irreducibility. The fundamental theorem of algebra establishes a link between algebra and geometry by showing that a monic polynomial (an algebraic object) in one variable with complex number coefficients is determined ...
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Nash Functions
In real algebraic geometry, a Nash function on an open semialgebraic subset ''U'' ⊂ R''n'' is an analytic function ''f'': ''U'' → R satisfying a nontrivial polynomial equation ''P''(''x'',''f''(''x'')) = 0 for all ''x'' in ''U'' (A semialgebraic subset of R''n'' is a subset obtained from subsets of the form or , where ''P'' is a polynomial, by taking finite unions, finite intersections and complements). Some examples of Nash functions: *Polynomial and regular rational functions are Nash functions. *x\mapsto \sqrt is Nash on R. *the function which associates to a real symmetric matrix its ''i''-th eigenvalue (in increasing order) is Nash on the open subset of symmetric matrices with no multiple eigenvalue. Nash functions are those functions needed in order to have an implicit function theorem in real algebraic geometry. Nash manifolds Along with Nash functions one defines Nash manifolds, which are semialgebraic analytic submanifolds of some R''n''. A Nash mapping between Na ...
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Bachelor's Degree
A bachelor's degree (from Middle Latin ''baccalaureus'') or baccalaureate (from Modern Latin ''baccalaureatus'') is an undergraduate academic degree awarded by colleges and universities upon completion of a course of study lasting three to six years (depending on institution and academic discipline). The two most common bachelor's degrees are the Bachelor of Arts (BA) and the Bachelor of Science (BS or BSc). In some institutions and educational systems, certain bachelor's degrees can only be taken as graduate or postgraduate educations after a first degree has been completed, although more commonly the successful completion of a bachelor's degree is a prerequisite for further courses such as a master's or a doctorate. In countries with qualifications frameworks, bachelor's degrees are normally one of the major levels in the framework (sometimes two levels where non-honours and honours bachelor's degrees are considered separately). However, some qualifications titled bachelor's ...
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Spain
, image_flag = Bandera de España.svg , image_coat = Escudo de España (mazonado).svg , national_motto = ''Plus ultra'' (Latin)(English: "Further Beyond") , national_anthem = (English: "Royal March") , image_map = , map_caption = , image_map2 = , capital = Madrid , coordinates = , largest_city = Madrid , languages_type = Official language , languages = Spanish language, Spanish , ethnic_groups = , ethnic_groups_year = , ethnic_groups_ref = , religion = , religion_ref = , religion_year = 2020 , demonym = , government_type = Unitary state, Unitary Parliamentary system, parliamentary constitutional monarchy , leader_title1 = Monarchy of Spain, Monarch , leader_name1 = Felipe VI , leader_title2 = Prime Minister of Spain ...
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South China Morning Post
The ''South China Morning Post'' (''SCMP''), with its Sunday edition, the ''Sunday Morning Post'', is a Hong Kong-based English-language newspaper owned by Alibaba Group. Founded in 1903 by Tse Tsan-tai and Alfred Cunningham, it has remained Hong Kong's newspaper of record since British colonial rule. Editor-in-chief Tammy Tam succeeded Wang Xiangwei in 2016. The ''SCMP'' prints paper editions in Hong Kong and operates an online news website. The newspaper's circulation has been relatively stable for years—the average daily circulation stood at 100,000 in 2016. In a 2019 survey by the Chinese University of Hong Kong, the ''SCMP'' was regarded relatively as the most credible paid newspaper in Hong Kong. The ''SCMP'' was owned by Rupert Murdoch's News Corporation from 1986 until it was acquired by Malaysian real estate tycoon Robert Kuok in 1993. On 5 April 2016, Alibaba Group acquired the media properties of the SCMP Group, including the ''SCMP''. In January 2017, former D ...
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Royal Spanish Mathematical Society
The Royal Spanish Mathematical Society ( Spanish: ''Real Sociedad Matemática Española'', RSME) is the main professional society of Spanish mathematicians and represents Spanish mathematics within the European Mathematical Society (EMS) and the International Mathematical Union (IMU). History The RSME was founded in 1911 by a group of mathematicians, among whom were Luis Octavio de Toledo y Zulueta and Julio Rey Pastor, under the name of the Spanish Mathematical Society. The initiative arose at the first congress of the Spanish Association for the Progress of Science (AEPC), where the convenience of establishing a mathematics society was raised. Throughout its more than 100 years it has gone through various stages of greater or lesser activity. Since 1996, it has been in one of its most active periods, counting in August 2005 about 1700 members, among which there are individual members, as well as institutional members such as, for example, university faculties and departme ...
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1958
Events January * January 1 – The European Economic Community (EEC) comes into being. * January 3 – The West Indies Federation is formed. * January 4 ** Edmund Hillary's Commonwealth Trans-Antarctic Expedition completes the third overland journey to the South Pole, the first to use powered vehicles. ** Sputnik 1 (launched on October 4, 1957) falls to Earth from its orbit, and burns up. * January 13 – Battle of Edchera: The Moroccan Army of Liberation ambushes a Spanish patrol. * January 27 – A Soviet-American executive agreement on cultural, educational and scientific exchanges, also known as the "Lacy-Zarubin Agreement, Lacy–Zarubin Agreement", is signed in Washington, D.C. * January 31 – The first successful American satellite, Explorer 1, is launched into orbit. February * February 1 – Egypt and Syria unite, to form the United Arab Republic. * February 6 – Seven Manchester United F.C., Manchester United footballers are among the 21 people killed i ...
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