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Charles F. Dunkl
Charles F. Dunkl (born 1941 in Vienna) is a mathematician at the University of Virginia The University of Virginia (UVA) is a Public university#United States, public research university in Charlottesville, Virginia, United States. It was founded in 1819 by Thomas Jefferson and contains his The Lawn, Academical Village, a World H ... who introduced Dunkl operators. Selected works * * with Donald E. Ramirez: * with Donald E. Ramirez: * * with Donald E. Ramirez: * * * * * * with M. F. E. de Jeu; E. M. Opdam: * * with Yuan Xu: * with E. M. Opdam: * References Charles F. Dunkl* 1941 births Living people 20th-century American mathematicians 21st-century American mathematicians {{US-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vienna
Vienna ( ; ; ) is the capital city, capital, List of largest cities in Austria, most populous city, and one of Federal states of Austria, nine federal states of Austria. It is Austria's primate city, with just over two million inhabitants. Its larger metropolitan area has a population of nearly 2.9 million, representing nearly one-third of the country's population. Vienna is the Culture of Austria, cultural, Economy of Austria, economic, and Politics of Austria, political center of the country, the List of cities in the European Union by population within city limits, fifth-largest city by population in the European Union, and the most-populous of the List of cities and towns on the river Danube, cities on the river Danube. The city lies on the eastern edge of the Vienna Woods (''Wienerwald''), the northeasternmost foothills of the Alps, that separate Vienna from the more western parts of Austria, at the transition to the Pannonian Basin. It sits on the Danube, and is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Virginia
The University of Virginia (UVA) is a Public university#United States, public research university in Charlottesville, Virginia, United States. It was founded in 1819 by Thomas Jefferson and contains his The Lawn, Academical Village, a World Heritage Site, UNESCO World Heritage Site. The original governing Board of Visitors included three List of presidents of the United States, U.S. presidents: Jefferson, James Madison, and James Monroe, the latter as sitting president of the United States at the time of its foundation. As its first two Rector (academia)#United States, rectors, Presidents Jefferson and Madison played key roles in the university's foundation, with Jefferson designing both the #1800s, original courses of study and the university's #Academical Village, architecture. Located within its 1,135-acre central campus, the university is composed of eight undergraduate and three professional schools: the University of Virginia School of Law, School of Law, the University ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dunkl Operator
In mathematics, particularly the study of Lie groups, a Dunkl operator is a certain kind of mathematical operator, involving differential operators but also reflections in an underlying space. Formally, let ''G'' be a Coxeter group with reduced root system ''R'' and ''k''''v'' an arbitrary "multiplicity" function on ''R'' (so ''k''''u'' = ''k''''v'' whenever the reflections σ''u'' and σ''v'' corresponding to the roots ''u'' and ''v'' are conjugate in ''G''). Then, the Dunkl operator is defined by: :T_i f(x) = \frac f(x) + \sum_ k_v \frac v_i where v_i is the ''i''-th component of ''v'', 1 ≤ ''i'' ≤ ''N'', ''x'' in ''R''''N'', and ''f'' a smooth function on ''R''''N''. Dunkl operators were introduced by . One of Dunkl's major results was that Dunkl operators "commute," that is, they satisfy T_i (T_j f(x)) = T_j (T_i f(x)) just as partial derivatives do. Thus Dunkl operators represent a meaningful generalization of partial derivatives. References *{{Citation , last1=Dun ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1941 Births
The Correlates of War project estimates this to be the deadliest year in human history in terms of conflict deaths, placing the death toll at 3.49 million. However, the Uppsala Conflict Data Program estimates that the subsequent year, 1942, was the deadliest such year. Death toll estimates for both 1941 and 1942 range from 2.28 to 7.71 million each. Events Below, the events of World War II have the "WWII" prefix. January * January–August – 10,072 men, women and children with mental and physical disabilities are asphyxiated with carbon monoxide in a gas chamber, at Hadamar Euthanasia Centre in Germany, in the first phase of mass killings under the Aktion T4 program here. * January 1 – Thailand's Prime Minister Plaek Phibunsongkhram decrees January 1 as the official start of the Thai solar calendar new year (thus the previous year that began April 1 had only 9 months). * January 3 – A decree (''Normalschrifterlass'') promulgated in Germany by Martin Bormann ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Living People
Purpose: Because living persons may suffer personal harm from inappropriate information, we should watch their articles carefully. By adding an article to this category, it marks them with a notice about sources whenever someone tries to edit them, to remind them of WP:BLP (biographies of living persons) policy that these articles must maintain a neutral point of view, maintain factual accuracy, and be properly sourced. Recent changes to these articles are listed on Special:RecentChangesLinked/Living people. Organization: This category should not be sub-categorized. Entries are generally sorted by family name In many societies, a surname, family name, or last name is the mostly hereditary portion of one's personal name that indicates one's family. It is typically combined with a given name to form the full name of a person, although several give .... Maintenance: Individuals of advanced age (over 90), for whom there has been no new documentation in the last ten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
