N. Trudinger
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N. Trudinger
Neil Sidney Trudinger (born 20 June 1942) is an Australian mathematician, known particularly for his work in the field of nonlinear elliptic partial differential equations. After completing his B.Sc at the University of New England (Australia) in 1962, he continued his graduate studies at Stanford University. He was awarded a Ph.D in 1966 for his thesis "Quasilinear Elliptical Partial Differential Equations in n Variables". After the award of his doctorate from Stanford University, Trudinger became a Courant Instructor at the Courant Institute of Mathematical Sciences of New York University during the academic year 1966–67. He then returned to Australia where he was appointed as a lecturer at Macquarie University in 1967. In 1970, he moved to University of Queensland where he was first appointed as a Reader, then as Professor. In 1973 he moved to the Australian National University. In 2016 he moved to the University of Wollongong, where he is currently appointed as a Dis ...
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Ballarat
Ballarat ( ) is a city in the Central Highlands (Victoria), Central Highlands of Victoria (Australia), Victoria, Australia. At the 2021 Census, Ballarat had a population of 116,201, making it the third largest city in Victoria. Estimated resident population, 30 June 2018. Within months of Victoria History of Victoria#Separation from New South Wales, separating from the colony of New South Wales in 1851, gold was discovered near Ballarat, sparking the Victorian gold rush. Ballarat subsequently became a thriving boomtown that for a time rivalled Melbourne, the capital of Victoria, in terms of wealth and cultural influence. In 1854, following a period of civil disobedience in Ballarat over gold licenses, local miners launched an armed uprising against government forces. Known as the Eureka Rebellion, it led to the introduction of male suffrage in Australia, and as such is interpreted as the origin of democracy in Australia, Australian democracy. The rebellion's symbol, the Eureka ...
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Australian Academy Of Science
The Australian Academy of Science was founded in 1954 by a group of distinguished Australians, including Australian Fellows of the Royal Society of London. The first president was Sir Mark Oliphant. The academy is modelled after the Royal Society and operates under a Royal Charter; as such, it is an independent body, but it has government endorsement. The Academy Secretariat is in Canberra, at the Shine Dome. The objectives of the academy are to promote science and science education through a wide range of activities. It has defined four major program areas: :* Recognition of outstanding contributions to science :* Education and public awareness :* Science policy :* International relations The academy also runs the 22 National Committees for Science which provide a forum to discuss issues relevant to all the scientific disciplines in Australia. Origins The Australian National Research Council (ANRC) was established in 1919 for the purpose of representing Australia on the In ...
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Fellows Of The American Mathematical Society
Fellows may refer to Fellow, in plural form. Fellows or Fellowes may also refer to: Places * Fellows, California, USA * Fellows, Wisconsin, ghost town, USA Other uses * Fellows Auctioneers, established in 1876. *Fellowes, Inc., manufacturer of workspace products *Fellows, a partner in the firm of English canal carriers, Fellows Morton & Clayton * Fellows (surname) See also *North Fellows Historic District, listed on the National Register of Historic Places in Wapello County, Iowa *Justice Fellows (other) Justice Fellows may refer to: * Grant Fellows (1865–1929), associate justice of the Michigan Supreme Court * Raymond Fellows (1885–1957), associate justice of the Maine Supreme Judicial Court {{disambiguation, tndis ...
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21st-century Australian Mathematicians
The 1st century was the century spanning AD 1 ( I) through AD 100 ( C) according to the Julian calendar. It is often written as the or to distinguish it from the 1st century BC (or BCE) which preceded it. The 1st century is considered part of the Classical era, epoch, or historical period. The 1st century also saw the appearance of Christianity. During this period, Europe, North Africa and the Near East fell under increasing domination by the Roman Empire, which continued expanding, most notably conquering Britain under the emperor Claudius (AD 43). The reforms introduced by Augustus during his long reign stabilized the empire after the turmoil of the previous century's civil wars. Later in the century the Julio-Claudian dynasty, which had been founded by Augustus, came to an end with the suicide of Nero in AD 68. There followed the famous Year of Four Emperors, a brief period of civil war and instability, which was finally brought to an end by Vespasian, ninth Roman emperor, a ...
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Fellows Of The Australian Academy Of Science
The Fellowship of the Australian Academy of Science is made up of about 500 Australian scientists. Scientists judged by their peers to have made an exceptional contribution to knowledge in their field may be elected to Fellowship of the Academy. Fellows are often denoted using the post-nominal FAA (Fellow of the Australian Academy of Science). A small number of distinguished foreign scientists with substantial connections to Australian science are elected as Corresponding Members. Fellows are appointed for life; this table also contains deceased fellows. Fellows Corresponding Members References *Australian Academy of ScienceFellowship list External links *http://www.asap.unimelb.edu.au/asap_inf.htm – Australian Science Archives Project *From http://www.asap.unimelb.edu.au/bsparcs/aasmemoirs AAS Biographical Memoirs (1966–1996) *From http://www.sciencearchive.org.au ** ** ** ** ** ** ** ** ** *From https://www.science.org.au ** ** ** ** ** ** ** ** **{{cite web, ur ...
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Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ...
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1942 Births
Year 194 ( CXCIV) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Septimius and Septimius (or, less frequently, year 947 ''Ab urbe condita''). The denomination 194 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Septimius Severus and Decimus Clodius Septimius Albinus Caesar become Roman Consuls. * Battle of Issus: Septimius Severus marches with his army (12 legions) to Cilicia, and defeats Pescennius Niger, Roman governor of Syria. Pescennius retreats to Antioch, and is executed by Severus' troops. * Septimius Severus besieges Byzantium (194–196); the city walls suffer extensive damage. Asia * Battle of Yan Province: Warlords Cao Cao and Lü Bu fight for control over Yan Province; the battle lasts for over 100 ...
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Yamabe Problem
The Yamabe problem refers to a conjecture in the mathematical field of differential geometry, which was resolved in the 1980s. It is a statement about the scalar curvature of Riemannian manifolds: By computing a formula for how the scalar curvature of relates to that of , this statement can be rephrased in the following form: The mathematician Hidehiko Yamabe, in the paper , gave the above statements as theorems and provided a proof; however, discovered an error in his proof. The problem of understanding whether the above statements are true or false became known as the Yamabe problem. The combined work of Yamabe, Trudinger, Thierry Aubin, and Richard Schoen provided an affirmative resolution to the problem in 1984. It is now regarded as a classic problem in geometric analysis, with the proof requiring new methods in the fields of differential geometry and partial differential equations. A decisive point in Schoen's ultimate resolution of the problem was an application of the p ...
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Trudinger's Theorem
In mathematical analysis, Trudinger's theorem or the Trudinger inequality (also sometimes called the Moser–Trudinger inequality) is a result of functional analysis on Sobolev spaces. It is named after Neil Trudinger (and Jürgen Moser). It provides an inequality between a certain Sobolev space norm and an Orlicz space norm of a function. The inequality is a limiting case of Sobolev imbedding and can be stated as the following theorem: Let \Omega be a bounded domain in \mathbb^n satisfying the cone condition. Let mp=n and p>1. Set : A(t)=\exp\left( t^ \right)-1. Then there exists the embedding : W^(\Omega)\hookrightarrow L_A(\Omega) where : L_A(\Omega)=\left\. The space :L_A(\Omega) is an example of an Orlicz space In mathematical analysis, and especially in real, harmonic analysis and functional analysis, an Orlicz space is a type of function space which generalizes the ''L'p'' spaces. Like the ''L'p'' spaces, they are Banach spaces. The spaces are na .... Referenc ...
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Jagiellonian University
The Jagiellonian University (Polish: ''Uniwersytet Jagielloński'', UJ) is a public research university in Kraków, Poland. Founded in 1364 by King Casimir III the Great, it is the oldest university in Poland and the 13th oldest university in continuous operation in the world. It is regarded as Poland's most prestigious academic institution. The university has been viewed as a guardian of Polish culture, particularly for continuing operations during the partitions of Poland and the two World Wars, as well as a significant contributor to the intellectual heritage of Europe. The campus of the Jagiellonian University is centrally located within the city of Kraków. The university consists of thirteen main faculties, in addition to three faculties composing the Collegium Medicum. It employs roughly 4,000 academics and provides education to more than 35,000 students who study in 166 fields. The main language of instruction is Polish, although around 30 degrees are offered in Engli ...
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