|
Henry Crapo (mathematician)
Henry Howland Crapo (; August 12, 1932 – September 3, 2019) was an American-Canadian mathematician who worked in algebraic combinatorics. Over the course of his career, he held positions at several universities and research institutes in Canada and France. He is noted for his work in matroid theory and lattice theory. Education and career Crapo was born in Detroit, Michigan, in 1932. He received his Ph.D. in 1964 under the supervision of Gian-Carlo Rota and Kenneth Hoffman. He held academic positions at the University of Waterloo, Université de Montréal, INRIA Rocquencourt, and École des Hautes Études en Sciences Sociales. During his time in Waterloo, Crapo became a Canadian citizen. Crapo is known for his early work in matroid theory, and for related work in lattice theory. He introduced the beta invariant of a matroid, and published the first paper on the Tutte polynomial (though Tutte had already defined an equivalent polynomial in his thesis). Together with Gia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Detroit
Detroit ( , ; , ) is the largest city in the U.S. state of Michigan. It is also the largest U.S. city on the United States–Canada border, and the seat of government of Wayne County. The City of Detroit had a population of 639,111 at the 2020 census, making it the 27th-most populous city in the United States. The metropolitan area, known as Metro Detroit, is home to 4.3 million people, making it the second-largest in the Midwest after the Chicago metropolitan area, and the 14th-largest in the United States. Regarded as a major cultural center, Detroit is known for its contributions to music, art, architecture and design, in addition to its historical automotive background. ''Time'' named Detroit as one of the fifty World's Greatest Places of 2022 to explore. Detroit is a major port on the Detroit River, one of the four major straits that connect the Great Lakes system to the Saint Lawrence Seaway. The City of Detroit anchors the second-largest regional economy in t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Möbius Inversion Formula
In mathematics, the classic Möbius inversion formula is a relation between pairs of arithmetic functions, each defined from the other by sums over divisors. It was introduced into number theory in 1832 by August Ferdinand Möbius. A large generalization of this formula applies to summation over an arbitrary locally finite partially ordered set, with Möbius' classical formula applying to the set of the natural numbers ordered by divisibility: see incidence algebra. Statement of the formula The classic version states that if and are arithmetic functions satisfying : g(n)=\sum_f(d)\quad\textn\ge 1 then :f(n)=\sum_\mu(d)g\left(\frac\right)\quad\textn\ge 1 where is the Möbius function and the sums extend over all positive divisors of (indicated by d \mid n in the above formulae). In effect, the original can be determined given by using the inversion formula. The two sequences are said to be Möbius transforms of each other. The formula is also correct if and are funct ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
21st-century American 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 empero ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2019 Deaths
This is a list of deaths of notable people, organised by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked here. 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 See also * Lists of deaths by day The following pages, corresponding to the Gregorian calendar, list the historical events, births, deaths, and holidays and observances of the specified day of the year: Footnotes See also * Leap year * List of calendars * List of non-standard ... * Deaths by year {{DEFAULTSORT:deaths by year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1932 Births
Year 193 ( CXCIII) was a common year starting on Monday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Sosius and Ericius (or, less frequently, year 946 ''Ab urbe condita''). The denomination 193 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 * January 1 – Year of the Five Emperors: The Roman Senate chooses Publius Helvius Pertinax, against his will, to succeed the late Commodus as Emperor. Pertinax is forced to reorganize the handling of finances, which were wrecked under Commodus, to reestablish discipline in the Roman army, and to suspend the food programs established by Trajan, provoking the ire of the Praetorian Guard. * March 28 – Pertinax is assassinated by members of the Praetorian Guard, who storm the imperial palace. The Empire is auctioned off ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Museum Of Fine Arts Antwerp
The Royal Museum of Fine Arts Antwerp (Dutch: ''Koninklijk Museum voor Schone Kunsten Antwerpen'', ''KMSKA'') is a museum in Antwerp, Belgium, founded in 1810, that houses a collection of paintings, sculptures and drawings from the fourteenth to the twentieth centuries. This collection is representative of the artistic production and the taste of art enthusiasts in Antwerp, Belgium and the Northern and Southern Netherlands since the 15th century. The neoclassical building housing the collection is one of the primary landmarks of the Zuid district of Antwerp. The majestic building was designed by Jean-Jacques Winders (1849–1936) and Frans Van Dijk (1853–1939), built beginning in 1884, opened in 1890, and completed in 1894. Sculpture on the building includes two bronze figures of Pheme with horse-drawn chariots by sculptor Thomas Vincotte, and seven rondel medallions of artists that include Boetius à Bolswert, Frans Floris, Jan van Eyck, Peter Paul Rubens, Quentin Mats ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
James Ensor
James Sidney Edouard, Baron Ensor (13 April 1860 – 19 November 1949) was a Belgian painter and printmaker, an important influence on expressionism and surrealism who lived in Ostend for most of his life. He was associated with the artistic group Les XX. Biography Ensor's father, James Frederic Ensor, born in Brussels to English parents, was a cultivated man who studied engineering in England and Germany. Ensor's mother, Maria Catherina Haegheman, was Belgian. Ensor himself lacked interest in academic study and left school at the age of fifteen to begin his artistic training with two local painters. From 1877 to 1880, he attended the Académie Royale des Beaux-Arts in Brussels, where one of his fellow students was Fernand Khnopff. Ensor first exhibited his work in 1881. From 1880 until 1917, he had his studio in the attic of his parents' house. His travels were very few: three brief trips to France and two to the Netherlands in the 1880s, and a four-day trip to London in 1892 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Waterloo Faculty Of Arts
The Faculty of Arts is one of six faculties at the University of Waterloo in Waterloo, Ontario, Canada. Departments The faculty presently houses sixteen academic departments, the School of Accounting and Finance and the Stratford School of Interaction Design and Business. Academic Departments: Anthropology, Classical Studies, Drama and Speech Communication, Economics, English Language and Literature, Fine Arts, French Studies, Germanic and Slavic Studies, History, Independent Studies, Philosophy, Political Science, Psychology, Religious Studies, Social Development Studies, Sociology, Spanish and Latin American Studies. The Faculty of Arts offers seven undergraduate entry programs, over thirty majors and more than 400 degree options. The University of Waterloo, along with University of Guelph and Wilfrid Laurier University is a member of the Tri-University Graduate History Program, which combines the history departments of the three universities at the graduate level. Graduat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Porcellino
''Il Porcellino'' (Italian "piglet") is the local Florentine nickname for the bronze fountain of a boar. The fountain figure was sculpted and cast by Baroque master Pietro Tacca (1577–1640) shortly before 1634, following a marble Italian copy of a Hellenistic marble original, at the time in the Grand Ducal collections and today on display in the classical section of the Uffizi Museum. The original, which was found in Rome and removed to Florence in the mid-16th century by the Medici, was associated from the time of its rediscovery with the Calydonian Boar of Greek myth. Tacca's bronze, which has eclipsed the Roman marble that served as model, was originally intended for the Boboli Garden, then moved to the Mercato Nuovo in Florence, Italy; the fountain was placed originally facing east, in via Calimala, in front of the pharmacy that by association gained the name ''Farmacia del Cinghiale'' (Italian for "boar"). To gain more space for market traffic it was later moved to the s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
UWaterloo Porcellino
The University of Waterloo (UWaterloo, UW, or Waterloo) is a public research university with a main campus in Waterloo, Ontario, Canada. The main campus is on of land adjacent to "Uptown" Waterloo and Waterloo Park. The university also operates three satellite campuses and four affiliated university colleges. The university offers academic programs administered by six faculties and thirteen faculty-based schools. Waterloo operates the largest post-secondary co-operative education program in the world, with over 20,000 undergraduate students enrolled in the university's co-op program. Waterloo is a member of the U15, a group of research-intensive universities in Canada. The institution originates from the Waterloo College Associate Faculties, established on 4 April 1956; a semi-autonomous entity of Waterloo College, which was an affiliate of the University of Western Ontario. This entity formally separated from Waterloo College and was incorporated as a university with the pass ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
