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Olof Thorin
G. Olof Thorin (23 February 1912, Halmstad – 14 February 2004, Danderyd Hospital) was a Swedish mathematician working on analysis and probability Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an e ..., who introduced the Riesz–Thorin theorem. References * Swedish mathematicians 1912 births 2004 deaths People from Halmstad {{Sweden-mathematician-stub ...
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Halmstad
Halmstad () is a port, university, industrial and recreational urban areas of Sweden, city at the mouth of the Nissan (river), Nissan river, in the provinces of Sweden, province of Halland on the Sweden, Swedish west coast. Halmstad is the seat of Halmstad Municipality and the capital of Halland County. The city had a population of 71,422 in 2020, out of a municipal total of over 100,000. Halmstad is Sweden's 19th-largest city by population and located about midway between Gothenburg (the second most populous) and Malmö (the third). History Halmstad, at the time part of the Kingdom of Denmark, received its first city charter in 1307, and the city celebrated its 700th anniversary in 2007. The oldest remains of that first town are to be found at "Övraby" upstream on Nissan, just south of and quite close to the present day regiment buildings. The remains of the church can still be seen today between a defunct brick industry and a former landfill. In the 1320s the town moved to t ...
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Danderyd Hospital
Danderyd Hospital () is a teaching hospital in Danderyd Municipality in northern Greater Stockholm opened in 1922. Until 1964 it was called ''Centrallasarettet i Stocksund''. Danderyd Hospital is one of Sweden's largest emergency hospitals and provides university healthcare distributed across twelve operational areas. Annually, the hospital receives approximately 90,000 emergency patients, 429,000 outpatient visits and 50,000 inpatient visits, and performs 6,300 deliveries. In collaboration with the Karolinska Institutet (KIDS), education and research is conducted around the most common public diseases. Annually, roughly 2,000 students from roughly 100 different institutions of higher learning are welcomed in about 30 different educational programs. The hospital was founded in 1922 as Stockholm County's central hospital in Mörby and was renamed in 1964 to Danderyd Hospital. Danderyds Sjukhus AB is a wholly owned company within Region Stockholm and has around 4,500 employees. Nota ...
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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, mathematical structure, structure, space, Mathematical model, models, and mathematics#Calculus and analysis, change. History One of the earliest known mathematicians was Thales of Miletus (); 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's theorem. The number of known mathematicians grew when Pythagoras of Samos () 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 math ...
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Analysis (mathematics)
Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions. These theories are usually studied in the context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis. Analysis may be distinguished from geometry; however, it can be applied to any space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space). History Ancient Mathematical analysis formally developed in the 17th century during the Scientific Revolution, but many of its ideas can be traced back to earlier mathematicians. Early results in analysis were implicitly present in the early days of ancient Greek mathematics. For instance, an infinite geometric sum is implicit in Zeno's paradox of the d ...
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Probability
Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th ed., (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', vol. 1, 3rd ed., (1968), Wiley, . This number is often expressed as a percentage (%), ranging from 0% to 100%. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%). These concepts have been given an axiomatic mathematical formaliza ...
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Riesz–Thorin Theorem
In mathematical analysis, the Riesz–Thorin theorem, often referred to as the Riesz–Thorin interpolation theorem or the Riesz–Thorin convexity theorem, is a result about ''interpolation of operators''. It is named after Marcel Riesz and his student G. Olof Thorin. This theorem bounds the norms of linear maps acting between spaces. Its usefulness stems from the fact that some of these spaces have rather simpler structure than others. Usually that refers to which is a Hilbert space, or to and . Therefore one may prove theorems about the more complicated cases by proving them in two simple cases and then using the Riesz–Thorin theorem to pass from the simple cases to the complicated cases. The Marcinkiewicz theorem is similar but applies also to a class of non-linear maps. Motivation First we need the following definition: :Definition. Let be two numbers such that . Then for define by: . By splitting up the function in as the product and applying Hölder's inequa ...
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Swedish Mathematicians
Swedish or ' may refer to: Anything from or related to Sweden, a country in Northern Europe. Or, specifically: * Swedish language, a North Germanic language spoken primarily in Sweden and Finland ** Swedish alphabet, the official alphabet used by the Swedish language * Swedish people or Swedes, persons with a Swedish ancestral or ethnic identity ** A national or citizen of Sweden, see demographics of Sweden ** Culture of Sweden * Swedish cuisine See also * * Swedish Church (other) * Swedish Institute (other) * Swedish invasion (other) * Swedish Open (other) Swedish Open is a tennis tournament. Swedish Open may also refer to: * Swedish Open (badminton) * Swedish Open (table tennis) * Swedish Open (squash) * Swedish Open (darts) {{disambiguation ... {{disambig Language and nationality disambiguation pages ...
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1912 Births
This year is notable for Sinking of the Titanic, the sinking of the ''Titanic'', which occurred on April 15. In Albania, this leap year runs with only 353 days as the country achieved switching from the Julian to Gregorian Calendar by skipping 13 days. Friday, 30 November ''(Julian Calendar)'' immediately turned Saturday, 14 December 1912 ''(in the Gregorian Calendar)''. Events January * January 1 – The Republic of China (1912–49), Republic of China is established. * January 5 – The Prague Conference (6th All-Russian Conference of the Russian Social Democratic Labour Party) opens. * January 6 ** German Geophysics, geophysicist Alfred Wegener first presents his theory of continental drift. ** New Mexico becomes the 47th U.S. state. * January 8 – The African National Congress is founded as the South African Native National Congress, at the Waaihoek Wesleyan Church in Bloemfontein, to promote improved rights for Black people, black South Africans, with Joh ...
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2004 Deaths
This is a list of lists of deaths of notable people, organized by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked below. 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 1986 Earlier years ''Deaths in years earlier than this can usually be found in the main articles of the years.'' See also * Lists of deaths by day * Deaths by year (category) {{DEFAULTSORT:deaths by year ...
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