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https://en.wikipedia.org/wiki/Albert%20Pinxton | Albert Edward Pinxton (24 May 1912 – 1992) was a footballer who played in the Football League for Blackburn Rovers, Cardiff City and Torquay United.
Career statistics
Source:
References
1912 births
1992 deaths
English men's footballers
English Football League players
Stoke City F.C. players
Nantwich Town F.C. players
Blackburn Rovers F.C. players
Cardiff City F.C. players
Torquay United F.C. players
Men's association football forwards
Footballers from Hanley, Staffordshire |
https://en.wikipedia.org/wiki/Marj%20Al-Ghazal | Marj Al-Ghazal (, ) is a Palestinian village in the Jericho Governorate in the West Bank, located north of Jericho. According to the Palestinian Central Bureau of Statistics (PCBS), Marj Al-Ghazal had a population of 243 in the 2017 census.
Location
Marj Al-Ghazal is bordered by the Jordan River to the east. Nearby Palestinian localities include az-Zubaidat to the northeast, Al-Jiftlik to the south and west.
History
In the wake of the 1948 Arab–Israeli War, and after the 1949 Armistice Agreements, Marj al-Ghazal came under Jordanian rule. It was annexed by Jordan in 1950.
Since the Six-Day War in 1967, Marj al-Ghazal has been under Israeli occupation.
In 1970, Israel confiscated 509 dunum of village land in order to construct the Israeli settlement of Argaman.
After 1995 accords, 4% of Marj al-Ghazal's land was classified as Area B, the remaining 96% as Area C.
In the 2007 census Marj Al-Ghazal had a population of 193 with exactly 92 being males and 101 females. The total number of households was 43 who lived in 50 housing units.
References
External links
Marj al Ghazal Village (Fact Sheet), Applied Research Institute - Jerusalem (ARIJ)
Marj al Ghazal Village Profile, ARIJ
Marj al Ghazal Aerial Photo, ARIJ
Locality Development Priorities and Needs in Marj al Ghazal, ARIJ
Jericho Governorate
Populated places established in 1995
Villages in the West Bank
Municipalities of the State of Palestine |
https://en.wikipedia.org/wiki/Hugh%20Osborn | Hugh Osborn is a British theoretical high-energy physicist and a professor emeritus at the University of Cambridge, Department of Applied Mathematics and Theoretical Physics.
He is known for his work on Conformal Field Theory and Quantum Field Theory.
Education
Osborn obtained his PhD in 1967 from the University College London. His PhD advisor was Sigurd Zienau.
Career and research
After postdoctoral research positions at the University of Sussex and Queen Mary University of London, he became a professor first at the University of Glasgow and then in 1971 moved to the University of Cambridge where he remained ever since. He is a fellow of Trinity College. In April 2020 he was elected a Fellow of the Royal Society.
In 1989, Osborn obtained the first proof of the four-dimensional C-theorem, which was conjectured one year earlier by John Cardy. Osborn's proof was applicable to renormalization group flows which are perturbative, that is do not deviate far from the free quantum field theories, and was valid to all orders in perturbation theory. It provided a strong hint that the four-dimensional C-theorem must be universally valid, but a nonperturbative proof of this fact was found only in 2011 by Zohar Komargodski and Adam Schwimmer.
In 2001 and 2004, Osborn, in collaboration with Francis Dolan, obtained explicit expressions for the conformal blocks in four dimensional conformal field theories. Starting from 2008, these results found many important applications within the conformal bootstrap approach to conformal field theories.
Former PhD students
His former PhD students include:
Francis Dolan
Johanna Erdmenger, professor at the University of Würzburg
Ian Jack, professor at the University of Liverpool
Tassos Petkou, professor at the Aristotle University of Thessaloniki
Jeong-Hyuck Park, professor at Sogang University
References
External links
Scientific publications of Hugh Osborn on INSPIRE-HEP
British physicists
Quantum physicists
Living people
Theoretical physicists
Fellows of Trinity College, Cambridge
Year of birth missing (living people)
Fellows of the Royal Society |
https://en.wikipedia.org/wiki/List%20of%20Major%20League%20Baseball%20career%20fielding%20errors%20as%20a%20second%20baseman%20leaders | In baseball statistics, an error is an act, in the judgment of the official scorer, of a fielder misplaying a ball in a manner that allows a batter or baserunner to advance one or more bases or allows an at bat to continue after the batter should have been put out. In baseball and softball, the second baseman is a fielding position in the infield, commonly stationed between second and first base. The second baseman often possesses quick hands and feet, needs the ability to get rid of the ball quickly, and must be able to make the pivot on a double play. In addition, second basemen are almost always right-handed. Only four left-handed throwing players have appeared as second basemen in the major leagues since 1950; one of the four, Gonzalo Márquez, was listed as the second baseman in the starting lineup for two games in 1973, batting in the first inning, but was replaced before his team took the field on defense, and none of the other three players lasted even a complete inning at the position. In the numbering system used to record defensive plays, the second baseman is assigned the number 4.
The list of career leaders is dominated by players from the 19th century, when fielding equipment was very rudimentary; baseball gloves only began to steadily gain acceptance in the 1880s, and were not uniformly worn until the mid-1890s, resulting in a much lower frequency of defensive miscues. All but three of the top 21 players in career errors began playing in the 19th century – including the top 13, ten of whom played their entire careers before 1900; only one of the top 21 played more than two games after 1920. None of the top 25 were active after 1930, with the top eight players active after 1926 all being members of the Baseball Hall of Fame; none of the top 49, and only eight of the top 77, were active after 1953. The top 59 single-season totals were all recorded before 1895, the top 192 were recorded before 1928, and the top 410 were recorded before 1946. To a large extent, the leaders reflect longevity rather than lower skill. Joe Morgan, whose 244 errors are the most by any second baseman since 1945, won five Gold Glove Awards for defensive excellence.
Fred Pfeffer, who retired in 1897 after having set National League (NL) records for career games, putouts and assists as a second baseman, is the all-time leader in career errors as a second baseman with 857 – nearly twice as many as any player whose career began after 1900, and over three times as many as any player who reached the major leagues after 1930; he is the only second baseman with over 800, and also holds the NL record of 781. Bid McPhee (792) and Cub Stricker (701), whose careers ended in 1899 and 1893 respectively, are the only other second basemen to commit more than 700 career errors. Robinson Canó, who had 124 errors through the 2021 season to place him tied for 144th all-time, is the leader among active players.
Key
List
Other Hall of Famers
References
External links
Baseba |
https://en.wikipedia.org/wiki/Chaim%20Goodman-Strauss | Chaim Goodman-Strauss (born June 22, 1967 in Austin, Texas) is an American mathematician who works in convex geometry, especially aperiodic tiling. He is on the faculty of the University of Arkansas and currently serves as outreach mathematician for the National Museum of Mathematics. He is co-author with John H. Conway and Heidi Burgiel of The Symmetries of Things, a comprehensive book surveying the mathematical theory of patterns.
Education and career
Goodman-Strauss received both his B.S. (1988) and Ph.D. (1994) in mathematics from the University of Texas at Austin. His doctoral advisor was John Edwin Luecke. He joined the faculty at the University of Arkansas, Fayetteville (UA) in 1994 and served as departmental chair from 2008 to 2015. He held visiting positions at the National Autonomous University of Mexico and Princeton University.
During 1995 he did research at The Geometry Center, a mathematics research and education center at the University of Minnesota, where he investigated aperiodic tilings of the plane.
Goodman-Strauss has been fascinated by patterns and mathematical paradoxes for as long as he can remember. He attended a lecture about the mathematician Georg Cantor when he was 17 and says, "I was already doomed to be a mathematician, but that lecture sealed my fate." He became a mathematics writer and popularizer. From 2004 to 2012, in conjunction with KUAF 91.3 FM, the University of Arkansas NPR affiliate, he presented "The Math Factor," a podcast website dealing with recreational mathematics. He is an admirer of Martin Gardner and is on the advisory council of Gathering 4 Gardner, an organization that celebrates the legacy of the famed mathematics popularizer and Scientific American columnist, and is active in the associated Celebration of Mind events. In 2022 Goodman-Strauss was awarded the National Museum of Mathematics' Rosenthal Prize, which recognizes innovation and inspiration in math teaching.
Aperiodic monotiles
On Mar 20, 2023 Strauss, together with David Smith, Joseph Samuel Myers and Craig S. Kaplan, announced the proof that the tile discovered by David Smith is an aperiodic monotile, i.e., a solution to a longstanding open einstein problem. The team continues to refine this work.
Mathematical artist
In 2008 Goodman-Strauss teamed up with J. H. Conway and Heidi Burgiel to write The Symmetries of Things, an exhaustive and reader-accessible overview of the mathematical theory of patterns. He produced hundreds of full-color images for this book using software that he developed for the purpose. The Mathematical Association of America said, "The first thing one notices when one picks up a copy … is that it is a beautiful book … filled with gorgeous color pictures … many of which were generated by Goodman-Strauss. Unlike some books which add in illustrations to keep the reader's attention, the pictures are genuinely essential to the topic of this book."
He also creates large-scale sculptures inspired by mathematics |
https://en.wikipedia.org/wiki/List%20of%20Major%20League%20Baseball%20career%20fielding%20errors%20as%20a%20shortstop%20leaders | In baseball statistics, an error is an act, in the judgment of the official scorer, of a fielder misplaying a ball in a manner that allows a batter or baserunner to advance one or more bases or allows an at bat to continue after the batter should have been put out. Shortstop, abbreviated SS, is a baseball or softball fielding position in the infield, commonly stationed between second and third base, which is considered to be among the most demanding defensive positions. The position is mostly filled by defensive specialists, so shortstops are generally relatively poor batters who typically hit lower in the batting order. In the numbering system used to record defensive plays, the shortstop is assigned the number 6.
The list of career leaders is dominated by players from the 19th century when fielding equipment was very rudimentary; baseball gloves only began to steadily gain acceptance in the 1880s, and were not uniformly worn until the mid-1890s, resulting in a much lower frequency of defensive miscues. 13 of the top 18 players in career errors began playing in the 19th century, six of whom played their entire careers before 1900; only one of the top 24 made their major league debut after 1915, and none of the top 38 were active after 1950. The top 12 single-season totals were all recorded before 1894, the top 61 were recorded before 1909, and the top 187 were recorded before 1919; none of the top 500 have been recorded since 1951. To a large extent, the leaders reflect longevity rather than lower skill. Luis Aparicio, whose 366 errors are the most by any American League (AL) shortstop since 1940, won nine Gold Glove Awards for defensive excellence, and retired with the second highest fielding percentage in AL history.
Herman Long, who retired in 1904 after setting major league records for games and putouts as a shortstop, is the all-time leader in errors committed as a shortstop with 1,070, nearly three times as many as any shortstop active since 1960, and the most by any player at a single position in major league history; he is the only shortstop to commit over 1,000 career errors. Bill Dahlen (975), Germany Smith (973), and Tommy Corcoran (961) are the only other shortstops to commit over 900 career errors. Elvis Andrus, who had 219 errors through the 2022 season to place him 120th all-time, is the leader among active players.
Key
List
Other Hall of Famers
References
Baseball-Reference.com
Major League Baseball statistics
Major League Baseball lists |
https://en.wikipedia.org/wiki/Robert%20Edgar%20Allardice | Robert Edgar Allardice FRSE (1862 – 1928) was a Scottish mathematician, specializing in geometry.
Biography
Allardice matriculated in 1879 at the University of Edinburgh and received there in 1882 an M.A. in mathematics.
In 1883 Allardice became assistant in mathematics to Professor George Chrystal at the University of Edinburgh and remained there until 1892. In 1892 Allardice was appointed a professor to Stanford University at the start of the University's second year and immediately became the head of the mathematics department, continuing in that position until his retirement in 1927. For many years, the senior faculty in mathematics at Stanford University consisted of Allardice and Rufus Green. The Stanford mathematics department, with Allardice as head, recruited Hans Frederick Blichfeldt and George Abram Miller.
On 16 January 1888 he was elected A Fellow of the Royal Society of Edinburgh. His proposers were George Chrystal, Robert McNair Ferguson, John Sturgeon Mackay, and Peter Guthrie Tait.
After suffering from a lingering illness for over a year, Allardice died in 1928 from a lung infection. He never married and upon his death was survived by a sister in Glasgow.
Selected publications
"Spherical Geometry." Proceedings of the Edinburgh Mathematical Society 2 (1883): 8–16.
with A. Y. Fraser: "La Tour d'Hanoï." Proceedings of the Edinburgh Mathematical Society 2 (1883): 50–53.
"Radical Axes in Spherical Geometry." Proceedings of the Edinburgh Mathematical Society 3 (1884): 59–61.
"On a number of concurrent spheres." Proceedings of the Edinburgh Mathematical Society 3 (1884): 118.
"Projective Geometry of the Sphere." Proceedings of the Edinburgh Mathematical Society 4 (1885): 56–58.
"Note on a Formula in Quaternions." Proceedings of the Edinburgh Mathematical Society 7 (1888): 8–10.
"On some theorems in the theory of numbers." Proceedings of the Edinburgh Mathematical Society 8 (1889): 16–19.
"Some Geometrical Theorems." Proceedings of the Edinburgh Mathematical Society 9 (1890): 11–13.
"Note on the dual of a focal property of the inscribed ellipse." The Annals of Mathematics 2, no. 1/4 (1900): 148–150.
"On Some Curves Connected with a System of Similar Conics." The Annals of Mathematics 3, no. 1/4 (1901): 154–160.
"On some systems of conics connected with the triangle." Proceedings of the Edinburgh Mathematical Society 20 (1901): 40–43.
"On a Linear Transformation, and Some Systems of Hypocycloids." The Annals of Mathematics 5, no. 4 (1904): 169–172.
"On a limit of the roots of an equation that is independent of all but two of the coefficients." Bulletin of the American Mathematical Society 13, no. 9 (1907): 443–447.
"On the Locus of the Foci of a System of Similar Conics through three Points." Proceedings of the Edinburgh Mathematical Society 27 (1909): 37–50.
References
1862 births
1928 deaths
Alumni of the University of Edinburgh
Academics of the University of Edinburgh
19th-century Scottish mathematicians
20th-centur |
https://en.wikipedia.org/wiki/Yau%27s%20conjecture | In differential geometry, Yau's conjecture from 1982, is a mathematical conjecture which states that a closed Riemannian 3-manifold has an infinite number of smooth closed immersed minimal surfaces. It is named after Shing-Tung Yau. It was the first problem in the minimal submanifolds section in Yau's list of open problems.
The conjecture has recently been claimed by Kei Irie, Fernando Codá Marques and André Neves in the generic case, and by Antoine Song in full generality.
References
Further reading
(Problem 88)
Conjectures
Unsolved problems in geometry
Differential geometry |
https://en.wikipedia.org/wiki/1966%E2%80%9367%20FK%20Partizan%20season | The 1966–67 season was the 21st season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1966–67 season.
Players
Squad information
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
Statistics
Goalscorers
This includes all competitive matches.
Score overview
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1966-67 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/1967%E2%80%9368%20FK%20Partizan%20season | The 1967–68 season was the 22nd season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1967–68 season.
Players
Squad information
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
Inter-Cities Fairs Cup
First round
Second round
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1967-68 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/John%20Charles%20Lounsbury%20Fish | John Charles Lounsbury Fish (June 3, 1870 - June 15, 1962) was a Professor of Civil Engineering, Emeritus, at the School of Engineering, Stanford University. He is known for his works Mathematics of the Paper Location of a Railroad (1905), Earthwork Haul and Overhaul: Including Economic Distribution (1913), Technique of Surveying Instruments and Methods (1917), Engineering Economics: First Principles... (1923), The Engineering Method (1950), Linear Drawing and Lettering for Beginners, Lettering of Working Drawings, and Descriptive Geometry, and also as a coauthor of Technic of Surveying Instruments and Methods (with Walter Loring Webb, 1917), The Transition Curve... (with Charles Lee Crandall), and The Engineering Profession (with Theodore Jesse Hoover, 1941).
Fish provided the critical bridge between the pioneering effort of Arthur M. Wellington in his engineering economics work of the 1870s and the first publication of the Principles of Engineering Economy in 1930 by Eugene L. Grant.
Early life and career
John Charles Lounsbury Fish was born on June 3, 1870, in Erie County, Ohio, near Lake Erie to Job Fish (1828-1923) and Anna Elizabeth Peabody (1834-1904). He studied at Oberlin academy in 1886 and graduated as a civil engineer from Cornell University in 1892 and was an instructor for another year at that engineering school. In 1894, Fish married Ethelwyn L. Slaught (1867-1951) in LaPorte, Indiana. They had three children, Job (1895-1907) Lounsbury slaught (1899-1987) and Frances Cecelia (1901-1968). Their son Lounsbury was also to be a future Stanford University civil engineering graduate in 1921.
John Charles Lounsbury Fish died in Los Angeles, California on June 15, 1962.
Stanford University (1893-1935)
Fish left Cornell for Stanford University as an instructor in 1893. He became a professor of railroad engineering in 1909 and then of civil engineering in 1925 and civil engineering department chair for 1928-1935 when he retired as emeritus professor of civil engineering.
Civil engineering practice
While Fish was largely an engineering educator, he worked on a variety of civil engineering projects. In 1891, he worked on the construction of the Sandusky and Columbus Short-Line railroad which opened in 1893. In 1899, Fish worked for the U. S. Coast and Geodetic Survey as part of its efforts to produce an accurate topographic map the State of California. Fish worked on the primary triangulation for San Jacinto Peak and Santiago Peak. In 1899 he would return to the USGS as a field engineer for exploratory surveys for reservoir and dam sites in Monterey County, California.
Fish also did railway work and from 1900 thru 1909 worked on the Lake Shore and Michigan Southern Railway; first as a resident engineer and then in 1907-09 as a division engineer.
Bibliography
Lettering of Working Drawings, New York: D. Van Nostrand Co., 1894.
The Transition Curve: by offsets and by deflection angles.J. Wiley & sons, (1899)
Mathematics of the Pape |
https://en.wikipedia.org/wiki/1961%E2%80%9362%20FK%20Partizan%20season | The 1961–62 season was the 16th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1961–62 season.
Players
Squad information
player (league matches/league goals)Velibor Vasović (22/2)Milutin Šoškić (22/0) (goalkeeper)Milan Galić (21/7)Fahrudin Jusufi (21/0)Vladica Kovačević (19/15)Milan Vukelić (17/6)Joakim Vislavski (17/3)Velimir Sombolac (17/0)Lazar Radović (16/2)Branislav Mihajlović (16/0)Zvezdan Čebinac (14/3)Milorad Milutinović (12/0)Radivoj Ognjanović (9/1)Dragoslav Jovanović (8/0)Ljubomir Mihajlović (6/0)Dragomir Slišković (4/1)Ivan Rajić (3/1)Miodrag Petrović (3/0)Vladimir Petrović (3/0)Bruno Belin (2/0)Mustafa Hasanagić (1/0)
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
European Cup
Preliminary round
First round
Mitropa Cup
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1961-62 (in Serbian)
FK Partizan seasons
Partizan
Yugoslav football championship-winning seasons |
https://en.wikipedia.org/wiki/List%20of%20Major%20League%20Baseball%20career%20fielding%20errors%20as%20a%20third%20baseman%20leaders | In baseball statistics, an error is an act, in the judgment of the official scorer, of a fielder misplaying a ball in a manner that allows a batter or baserunner to advance one or more bases or allows an at bat to continue after the batter should have been put out. Third base is the third of four stations on a baseball diamond which must be touched in succession by a baserunner in order to score a run for that player's team. A third baseman, abbreviated 3B, is the player on the team playing defense who fields the area nearest third base, and is responsible for the majority of plays made at that base. The third baseman requires good reflexes in reacting to batted balls, often being the closest infielder (roughly 90–120 feet) to the batter. The third base position requires a strong and accurate arm, as the third baseman often makes long throws to first base. The third baseman sometimes must throw quickly to second base in time to start a double play, and must also field fly balls in both fair and foul territory. In the scoring system used to record defensive plays, the third baseman is assigned the number 5.
The list of career leaders is dominated by players from the 19th century, when fielding equipment was very rudimentary; baseball gloves only began to steadily gain acceptance in the 1880s, and were not uniformly worn until the mid-1890s, resulting in a much lower frequency of defensive miscues. The top 19 players in career errors all began playing in the 19th century, all but four of them playing their entire careers before 1900; none were active in the major leagues after 1911. Only two of the top 29 were active after 1929, and none were active after 1946. Through 2021, the top 129 single-season totals were all recorded before 1906, and only five of the top 316 were recorded after 1942. To a large extent, the leaders reflect longevity rather than lower skill. Ron Santo, who leads all post-1950 third basemen with 317 errors, won five Gold Glove Awards for fielding excellence.
Arlie Latham, who set a major league record with 1,573 career games at third base – none of them after 1896 – is the all-time leader in career errors committed as a third baseman with 822, more than twice as many as any player who reached the major leagues after 1900; he is the only third baseman to commit more than 700 career errors. Billy Nash, whose career ended in 1898 after setting the National League record for games at third base, is second all-time; he is the only other third baseman to commit more than 600 errors. Evan Longoria, who had 152 errors through the 2021 season to place him tied for 131st all-time, is the leader among active players.
Key
List
Other Hall of Famers
References
Baseball-Reference.com
Major League Baseball statistics
Major League Baseball lists |
https://en.wikipedia.org/wiki/Sobolev%20Institute%20of%20Mathematics | The Sobolev Institute of Mathematics (SIM) was founded in 1957 by Sergey Sobolev. It is located in Akademgorodok and it constitutes part of the Siberian Branch of the Russian Academy of Sciences. Sergey S. Goncharov is the director.
The institute was founded as part of a broader project developed by Sobolev, Mikhail Lavrentyev and Sergey Khristianovich which received official support on 18 May 1957. The broader project led to the foundation of the Novosibirsk State University and the town of Akademgorodok. However SIM was one of the first academic institutes to be set up being founded in 1957.
Journals
Algebra and logic Editor: Yuri L. Ershov
Siberian Mathematical Journal Editor-in-Chief: Yuri L. Ershov
Siberian Advances in Mathematics Editor-in-Chief: Alexander A. Borovkov
Matematicheskie Trudy (Mathematical Proceedings) Editor-in-chief: Alexander A. Borovkov
Journal of Applied and Industrial Mathematics Editor-in-Chief: Vladimir G. Romanov
Siberian Electronic Mathematical Reports Editor-in-Chief: Andrei Yu. Vesnin
Official website
Official website
References
Research institutes in Novosibirsk
1957 establishments in the Soviet Union
Research institutes established in 1957
Research institutes in the Soviet Union |
https://en.wikipedia.org/wiki/Johan%20Antony%20Barrau | Johan Antony Barrau (3 April 1873, Oisterwijk – 8 January 1953, Utrecht) was a Dutch mathematician, specializing in geometry.
Barrau was educated at the Dutch Royal Naval College at Willemsoord and then at the University of Amsterdam. From 1891 to 1898, Barrau was an officer with the Royal Netherlands Navy, later with the Netherlands Marine Corps. However, he left the service and became a mathematics teacher at a Hogere Burgerschool in Dordrecht until 1900, then in Amsterdam. In 1907 he obtained his PhD at the University of Amsterdam under the supervision of Diederik Korteweg. From 1908 to 1913 Barrau was a mathematics professor at the Delft University of Technology. He was a professor of synthetic, analytical and descriptive differential geometry at the University of Groningen from 1913 to 1928. From 1928 until his retirement at age 70, he was a professor at Utrecht University. He received the military service medal consisting of the Expedition Cross with the Atjeh clasp and was named Knight of the Order of the Netherlands Lion. Barrau published a textbook on analytical geometry and various articles in national and international journals.
He was an Invited Speaker of the ICM in 1920 at Strasbourg and in 1924 at Toronto.
References
1873 births
1953 deaths
20th-century Dutch mathematicians
Geometers
University of Amsterdam alumni
Academic staff of the University of Groningen
Academic staff of Utrecht University
Recipients of the Order of the Netherlands Lion
People from Oisterwijk |
https://en.wikipedia.org/wiki/Fidelia%20Jewett | Fidelia Jewett (October 3, 1851 – June 21, 1933) was a mathematics and botany teacher in San Francisco, longtime companion of Lillien Jane Martin. Jewett was also one of the first benefactors of William Henry Holtzclaw, founder of Utica Institute, the first African-American college in Mississippi. Jewett Hall at Grambling State University in Louisiana is named after her.
Biography
Fidelia Jewett was born on October 3, 1851, in Weybridge, Vermont, the daughter of Solomon Wright Jewett (1808-1894) and Mary Catharine Jewett (1819-1891). The Jewett family were California pioneers, and for that account, pioneers in practically every State of the Union. The Jewett family reunion happened in 1915 at the Panama–Pacific International Exposition in San Francisco. Sixty or more delegates joined from the East, while every State was represented and many in attendance were from California. Fidelia Jewett read a paper on The Early Jewett Pioneers of California, telling how they were lured in California by the discovery of gold and how they had aided in the upbuilding of the State.
Since the 1880s, Jewett taught mathematics and botany without a college degree. While a teacher at the Girls High School in San Francisco in 1889, Jewett met Lillien Jane Martin who was hired as vice principal and head of the science department. In 1894, Martin resigned and moved to Göttingen, Germany, to earn a doctoral degree; Jewett joined her during the 1895/96 academic year.
Back in the United States, Jewett resumed her teaching at the Girls High School. When Martin returned in 1898, she was temporarily without income, waiting for her position as teacher of psychology at Stanford University to start: Jewett gave Martin half of her salary until Stanford paid Martin. Martin later encouraged Jewett to earn a college degree.
In 1903, Jewett was one of the earliest benefactors of William Henry Holtzclaw, the founder of the Utica Institute in north Mississippi, the first school of higher education for African Americans in Mississippi. In 1900, Jewett donated Jewett Hall to Utica, the first substantial building of the Institute. Utica Junior College merged with Hinds Junior College in 1982. In 1939, Jewett Hall at Grambling State University, the only institution of higher learning available to African Americans in north Louisiana from 1939 to 1960, was named after Fidelia Jewett, who visited and continuously gave money to Grambling. In 2010, Jewett Hall, with Long-Jones Hall, Eddie Robinson Museum, Lee Hall, Men’s Memorial Gym, T.H. Harris Auditorium, Brown Hall, University Police Building, and Foster-Johnson Health Center were added to National Register of Historic Buildings.
After the death of Jewett, her longtime companion Lillien Jane Martin, paid for a 12-foot-long speckled granite bench with the inscription: "Fidelia Jewett (October 3, 1851-1933), A Public School Teacher in San Francisco, For Almost Fifty Years, A Founder in Salvaging Old Age". On the base at the rear of the |
https://en.wikipedia.org/wiki/1976%E2%80%9377%20FK%20Partizan%20season | The 1976–77 season was the 31st season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1976–77 season.
Players
Squad information
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
European Cup
First round
Statistics
Goalscorers
This includes all competitive matches.
Score overview
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1976-77 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/1964%E2%80%9365%20FK%20Partizan%20season | The 1964–65 season was the 19th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1964–65 season.
Players
Squad information
player (league matches/league goals)Vladica Kovačević (28/14)Josip Pirmajer (27/7)Ljubomir Mihajlović (26/0)Milan Galić (24/15)Ivan Ćurković (23/0) (goalkeeper)Mustafa Hasanagić (20/13)Radoslav Bečejac (20/2)Jovan Miladinović (19/0)Joakim Vislavski (18/5)Fahrudin Jusufi (18/0)Branko Rašović (17/0)Velibor Vasović (15/0)Velimir Sombolac (14/0)Milan Damjanović (11/0)Milan Vukelić (10/0)Lazar Radović (8/0)Bora Milutinović (6/0)Mane Bajić (5/1)Miodrag Petrović (5/1)Milutin Šoškić (4/0) (goalkeeper)Branislav Mihajlović (2/0)Jovan Ćurčić (1/0) (goalkeeper)Vojislav Simeunović (1/0)
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
Statistics
Goalscorers
This includes all competitive matches.
Score overview
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1964-65 (in Serbian)
FK Partizan seasons
Partizan
Yugoslav football championship-winning seasons |
https://en.wikipedia.org/wiki/Richard%20Neapolitan | Richard Eugene Neapolitan was an American scientist. Neapolitan is most well-known for his role in establishing the use of probability theory in artificial intelligence and in the development of the field Bayesian networks.
Biography
Neapolitan grew up in the 1950s and 1960s in Westchester, Illinois, which is a western suburb of Chicago. He received a Ph.D. in mathematics from the Illinois Institute of Technology. Neapolitan notes that he was unable to obtain an academic position after obtaining his Ph.D., owing to a glut of mathematicians and a recession in the 1970s, and so he worked as a model and in various computer science related positions. The latter experience enabled him to obtain a faculty position in the Computer Science Department of Northeastern Illinois University (NEIU) in 1980. He served the majority of his academic career at NEIU, including becoming Chair of Computer Science in 2002.
Research
In the 1980s, researchers from cognitive science (e.g., Judea Pearl), computer science (e.g., Peter C. Cheeseman and Lotfi Zadeh), decision analysis (e.g., Ross Shachter), medicine (e.g., David Heckerman and Gregory Cooper), mathematics and statistics (e.g., Neapolitan, Tod Levitt, and David Spiegelhalter) and philosophy (e.g., Henry Kyburg) met at the newly formed Workshop on Uncertainty in Artificial Intelligence to discuss how to best perform uncertain inference in artificial intelligence. Neapolitan presented an exposition on the use of the classical approach to probability versus the Bayesian approach in artificial intelligence at the 1988 Workshop. A more extensive philosophical treatise on the difference between the two approaches and the application of probability to artificial intelligence appeared in his 1989 text Probabilistic Reasoning in Expert Systems: Theory and Algorithms.
Closely related to the issue of representing uncertainty in artificial intelligence, researchers at the Workshop on Uncertainty in Artificial Intelligence developed and discussed graphical models that could represent large joint probability distributions. Neapolitan formulated these efforts into a coherent field in the text Probabilistic Reasoning in Expert Systems: Theory and Algorithms. The text defines a causal (Bayesian) network, and proves a theorem showing that a directed acyclic graph and a discrete probability distribution together constitute a Bayesian network if and only if is equal to the product of its conditional distributions in . The text also includes methods for doing inference in Bayesian networks, and a discussion of influence diagrams, which are Bayesian networks augmented with decision nodes and a value node. Many AI applications have since been developed using Bayesian networks and influence diagrams.
Neapolitan's "Probabilistic Reasoning in Expert Systems" and Judea Pearl's "Probabilistic Reasoning in Intelligent Systems" have been widely recognized as formalizing the field of Bayesian networks, as seen in the works of Eug |
https://en.wikipedia.org/wiki/Taryn%20Young | Taryn Young is the Director of the Centre for Evidence-based Health Care and Head of the Division of Epidemiology and Biostatistics at Stellenbosch University. She is a member of the Academy of Science of South Africa. Professor Young has co-authored over 100 peer-reviewed scholarly articles. Her research has focused on summarising and interpreting medical research.
External links
Taryn Young on ResearchGate
Taryn Young on Google Scholar
References
Living people
South African public health doctors
Women public health doctors
University of Cape Town alumni
Stellenbosch University alumni
1972 births
Academic staff of Stellenbosch University |
https://en.wikipedia.org/wiki/Intensity%20measure | In probability theory, an intensity measure is a measure that is derived from a random measure. The intensity measure is a non-random measure and is defined as the expectation value of the random measure of a set, hence it corresponds to the average volume the random measure assigns to a set. The intensity measure contains important information about the properties of the random measure. A Poisson point process, interpreted as a random measure, is for example uniquely determined by its intensity measure.
Definition
Let be a random measure on the measurable space and denote the expected value of a random element with .
The intensity measure
of is defined as
for all .
Note the difference in notation between the expectation value of a random element , denoted by and the intensity measure of the random measure , denoted by .
Properties
The intensity measure is always s-finite and satisfies
for every positive measurable function on .
References
Measures (measure theory)
Probability theory |
https://en.wikipedia.org/wiki/Ali%20Al-Asmari | Ali Al-Asmari (; born 12 January 1997) is a Saudi Arabian footballer who plays as a midfielder for Saudi Arabian club Al-Ahli.
Career statistics
Club
External links
References
1997 births
Living people
Footballers from Jeddah
Saudi Arabian men's footballers
Men's association football midfielders
Al-Ahli Saudi FC players
Ohod Club players
Saudi Pro League players
Saudi First Division League players
Saudi Arabia men's youth international footballers
Saudi Arabia men's international footballers
Footballers at the 2018 Asian Games
Asian Games competitors for Saudi Arabia
21st-century Saudi Arabian people |
https://en.wikipedia.org/wiki/List%20of%20Major%20League%20Baseball%20career%20fielding%20errors%20as%20an%20outfielder%20leaders | In baseball statistics, an error is an act, in the judgment of the official scorer, of a fielder misplaying a ball in a manner that allows a batter or baserunner to advance one or more bases or allows an at bat to continue after the batter should have been put out. An outfielder (OF) is a person playing in one of the three defensive positions in baseball farthest from the batter, who are identified as the left fielder (LF), the center fielder (CF), and the right fielder (RF). An outfielder's duty is to try to catch long fly balls before they hit the ground, or to quickly catch or retrieve and return to the infield any other balls entering the outfield. Outfielders normally play behind the six other members of the defense who play in or near the infield; unlike catchers and most infielders (excepting first basemen), who are virtually exclusively right-handed, outfielders can be either right- or left-handed. In the scoring system used to record defensive plays, the outfielders are assigned the numbers 7 (left field), 8 (center field) and 9 (right field).
The list of career leaders is dominated by players from the 19th century when fielding equipment was very rudimentary; baseball gloves only began to steadily gain acceptance in the 1880s, and were not uniformly worn until the mid-1890s, resulting in a much lower frequency of defensive miscues. The top 13 players in career errors began playing in the 19th century, most of them playing their entire careers before 1900; none of the 13 were active after 1905, and none of the top 29 were active after 1929. Most of the top 78 played entirely in the 19th century, with only four making their major league debut after 1920; only one was active after 1945. The top 42 single-season totals were all recorded before 1896, the top 100 were recorded before 1904, and the top 459 were recorded before 1937. To a large extent, the leaders reflect longevity rather than lower skill. Roberto Clemente, who became the first National League (NL) outfielder in over 40 years to commit 140 errors, won twelve Gold Glove Awards for defensive excellence.
Because game accounts and box scores often did not distinguish between the outfield positions, there has been some difficulty in determining precise defensive statistics prior to 1901; because of this, and because of the similarity in their roles, defensive statistics for the three positions are frequently combined. Tom Brown, who retired in 1898 after setting major league records for career games and assists as an outfielder, is the all-time leader in career errors committed by an outfielder with 492, more than twice as many as any outfielder who began playing after 1910; he is the only outfielder to be charged with more than 400 career errors. Dummy Hoy (394), Paul Hines (385), Jesse Burkett (383), George Gore (368), Jimmy Ryan (366), George Van Haltren (358), and Ned Hanlon (350) are the only other outfielders to commit more than 300 career errors. Justin Upton, who had 89 er |
https://en.wikipedia.org/wiki/1962%E2%80%9363%20FK%20Partizan%20season | The 1962–63 season was the 17th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1962–63 season.
Players
Squad information
Player (league matches/league goals)
Vladica Kovačević (26/14)Milutin Šoškić (26/0) (goalkeeper)Milan Galić (25/16)Fahrudin Jusufi (25/0)Velibor Vasović (24/2)Ljubomir Mihajlović (23/0)Milan Vukelić (18/2)Joakim Vislavski (16/7)Zvezdan Čebinac (16/0)Bora Milutinović (15/1)Velimir Sombolac (14/0)Mustafa Hasanagić (12/4)Anton Rudinski (8/6)Aleksandar Jončić (8/0)Ivan Rajić (6/1)Lazar Radović (5/2)Milorad Milutinović (5/0)Ilija Mitić (5/0)Dragomir Slišković (5/0)Branislav Mihajlović (4/1)Mane Bajić (4/0)Miodrag Petrović (3/1)Vladimir Petrović (3/0)Dragoslav Jovanović (2/0)Milan Damjanović (1/0)Zenun BrovinaDimitrije DavidovićPoljanJankulovskiMilanović
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
European Cup
Preliminary round
Statistics
Goalscorers
This includes all competitive matches.
Score overview
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1962-63 (in Serbian)
FK Partizan seasons
Partizan
Yugoslav football championship-winning seasons |
https://en.wikipedia.org/wiki/1963%E2%80%9364%20FK%20Partizan%20season | The 1963–64 season was the 18th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1963–64 season.
Players
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
European Cup
Preliminary round
First round
Quarter-finals
Statistics
Goalscorers
This includes all competitive matches.
Score overview
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1963-64 (in Serbian)
FK Partizan seasons
Partizan
Partizan |
https://en.wikipedia.org/wiki/List%20of%20Major%20League%20Baseball%20career%20fielding%20errors%20as%20a%20left%20fielder%20leaders | In baseball statistics, an error is an act, in the judgment of the official scorer, of a fielder misplaying a ball in a manner that allows a batter or baserunner to advance one or more bases or allows an at bat to continue after the batter should have been put out. The left fielder (LF) is one of the three outfielders, the defensive positions in baseball farthest from the batter. Left field is the area of the outfield to the left of a person standing at home plate and facing toward the pitcher's mound. The outfielders' duty is to try to catch long fly balls before they hit the ground or to quickly catch or retrieve and return to the infield any other balls entering the outfield. The left fielder must also be adept at navigating the area of left field where the foul line approaches the corner of the playing field and the walls of the seating areas. Being the outfielder closest to third base, the left fielder generally does not have to throw as far as the other outfielders to throw out runners advancing around the bases, so they often do not have the strongest throwing arm, but their throws need to be accurate. The left fielder normally plays behind the third baseman and shortstop, who play in or near the infield; unlike catchers and most infielders (excepting first basemen), who are virtually exclusively right-handed, left fielders can be either right- or left-handed. In the scoring system used to record defensive plays, the left fielder is assigned the number 7.
The list of career leaders is dominated by players from the early 20th century; only two of the top 16 players were active after 1945. Only four of the top 28 single-season totals were recorded after 1916, none after 1935; only four of the top 81 totals were recorded after 1940. To a large extent, the leaders reflect longevity rather than lower skill. Barry Bonds, whose 89 errors are the most by a National League (NL) left fielder since 1971, won eight Gold Glove Awards for defensive excellence.
Because game accounts and box scores often did not distinguish between the outfield positions, there has been some difficulty in determining precise defensive statistics prior to 1901; because of this, and because of the similarity in their roles, defensive statistics for the three positions are frequently combined. Although efforts to distinguish between the three positions regarding games played during this period and reconstruct the separate totals have been largely successful, separate error totals are unavailable; players whose totals are missing the figures for pre-1901 games are notated in the table below. Zack Wheat, who held the major league records for career games and putouts in left field for over 70 years, is the modern (post-1900) leader in career errors committed by a left fielder with 186, including the modern National League record of 184. Goose Goslin (184), Lou Brock (168), Bobby Veach (146), Jimmy Sheckard (139), Patsy Dougherty (133), Duffy Lewis (123), Bob Johnson (121), Ja |
https://en.wikipedia.org/wiki/Transition%20kernel | In the mathematics of probability, a transition kernel or kernel is a function in mathematics that has different applications. Kernels can for example be used to define random measures or stochastic processes. The most important example of kernels are the Markov kernels.
Definition
Let , be two measurable spaces. A function
is called a (transition) kernel from to if the following two conditions hold:
For any fixed , the mapping
is -measurable;
For every fixed , the mapping
is a measure on .
Classification of transition kernels
Transition kernels are usually classified by the measures they define. Those measures are defined as
with
for all and all . With this notation, the kernel is called
a substochastic kernel, sub-probability kernel or a sub-Markov kernel if all are sub-probability measures
a Markov kernel, stochastic kernel or probability kernel if all are probability measures
a finite kernel if all are finite measures
a -finite kernel if all are -finite measures
a s-finite kernel is a kernel that can be written as a countable sum of finite kernels
a uniformly -finite kernel if there are at most countably many measurable sets in with for all and all .
Operations
In this section, let , and be measurable spaces and denote the product σ-algebra of and with
Product of kernels
Definition
Let be a s-finite kernel from to and be a s-finite kernel from to . Then the product of the two kernels is defined as
for all .
Properties and comments
The product of two kernels is a kernel from to . It is again a s-finite kernel and is a -finite kernel if and are -finite kernels. The product of kernels is also associative, meaning it satisfies
for any three suitable s-finite kernels .
The product is also well-defined if is a kernel from to . In this case, it is treated like a kernel from to that is independent of . This is equivalent to setting
for all and all .
Composition of kernels
Definition
Let be a s-finite kernel from to and a s-finite kernel from to . Then the composition of the two kernels is defined as
for all and all .
Properties and comments
The composition is a kernel from to that is again s-finite. The composition of kernels is associative, meaning it satisfies
for any three suitable s-finite kernels . Just like the product of kernels, the composition is also well-defined if is a kernel from to .
An alternative notation is for the composition is
Kernels as operators
Let be the set of positive measurable functions on .
Every kernel from to can be associated with a linear operator
given by
The composition of these operators is compatible with the composition of kernels, meaning
References
Probability theory |
https://en.wikipedia.org/wiki/Charles%20Henry%20Rowe | Charles Henry Rowe (9 February 1893, Cork – 4 December 1943) was an Irish mathematician, specializing in geometry. He was Erasmus Smith's Professor of Mathematics at Trinity College Dublin (1926-1943).
Career
Rowe received his bachelor's degree from University College Cork in 1914 and his M.A. in Mathematics and Philosophy from Trinity College Dublin in 1917. He was a close friend of the mathematical physicist J. L. Synge. By winning a competitive examination in 1920, Rowe became a Fellow of Trinity College Dublin and retained the fellowship until his death. He spent the academic year 1920–1921 in Paris, where he studied under Hadamard, Lebesgue, and Goursat.
From 1923 to 1926 he was the Donegall Lecturer in Mathematics at TCD and, after a probationary period as an acting professor, was appointed in 1926 to the Erasmus Smith's Professor of Mathematics, retaining the position until his death.
In 1932 he was an Invited Speaker of the ICM, with talk Subspaces associated with certain systems of curves in a Riemannian space, in 1932 in Zurich. The Rowe Prize of Trinity College Dublin was established in 1959 by a bequest from his widow, Olive Marjorie Rowe.
Selected publications
"A kinematical treatment of some theorems on normal rectilinear congruences." Trans. Amer. Math. Soc. 31 (1929) 919–930.
"On certain doubly infinite systems of curves on a surface." Bull. Amer. Math. Soc. 36 (1930) 695–704.
"Some theorems on the generators of a hyperboloid." Mathematische Annalen 103, no. 1 (1930): 516–531.
"A Proof of the Asymptotic Series for log Γ(z) and log Γ(z+ a)." Annals of Mathematics (1931): 10–16.
"A characteristic property of systems of paths." In Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences, vol. 40, pp. 99–106. Royal Irish Academy, 1931.
"Characteristic properties of certain systems of paths in a Riemannian space." In Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences, vol. 41, pp. 102–110. Royal Irish Academy, 1932.
"On certain systems of curves in Riemannian space." Journal de Mathématiques Pures et Appliquées 12 (1933): 283–308.
"On natural families of curves." Bull. Amer. Math. Soc. 39 (1933) 793–801.
with Bertrand Gambier: "Lieu des points dont les rapports des distances à trois droites fixes restent constants: biquadratiques, cubiques gauches et dégénérescences." In Annales scientifiques de l'École Normale Supérieure, vol. 53, pp. 329–386. Elsevier, 1936.
"Couples de tétraèdres de Moebius inscrits dans une quadrique (ou une biquadrique) et circonscrits à une autre quadrique (ou une développable de classe quatre)." In Annales scientifiques de l'École Normale Supérieure, vol. 58, pp. 261–283. Elsevier, 1941.
References
1893 births
1943 deaths
Academics of Trinity College Dublin
Alumni of Trinity College Dublin
Alumni of University College Cork
Donegall Lecturers of Mathematics at Trinity College Dublin
Scientists from Cork (city)
20th-century Irish mathemat |
https://en.wikipedia.org/wiki/1991%E2%80%9392%20FK%20Partizan%20season | The 1991–92 season was the 46th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1991–92 season.
Players
Squad information
Competitions
Yugoslav First League
Yugoslav Cup
1 Return leg was scheduled to be played on 6 May 1992, but due to Bosnian War and Željezničar club leaving the competition, it was not, hence Partizan were awarded the 3-0 win.
UEFA Cup
First round
See also
List of FK Partizan seasons
Notes and references
External links
Official website
Partizanopedia 1991-92 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/List%20of%20Oricon%20number-one%20albums%20of%202018 | The following is a list of Oricon number-one albums of 2018. Oricon supplies statistics and information on music and the music industry in Japan. It is also the first year where the combined albums chart was introduced, which is based on physical and digital sales, as well as streaming. The first number-one album on the combined chart was Radwimps' Anti Anti Generation on December 24.
Chart history
Physical sales
Combined sales
See also
List of Oricon number-one singles of 2018
References
Number-one albums
Japan Oricon Albums
2018 |
https://en.wikipedia.org/wiki/Sub-probability%20measure | In the mathematical theory of probability and measure, a sub-probability measure is a measure that is closely related to probability measures. While probability measures always assign the value 1 to the underlying set, sub-probability measures assign a value lesser than or equal to 1 to the underlying set.
Definition
Let be a measure on the measurable space .
Then is called a sub-probability measure if .
Properties
In measure theory, the following implications hold between measures:
So every probability measure is a sub-probability measure, but the converse is not true. Also every sub-probability measure is a finite measure and a σ-finite measure, but the converse is again not true.
See also
Helly's selection theorem
Helly–Bray theorem
References
Probability theory
Measures (measure theory) |
https://en.wikipedia.org/wiki/Engare | Engare is a puzzle game created by Iranian game designer Mahdi Bahrami and soundtracked by Mim Rasouli, playable on PC and MacOS. Describing itself as "a game about motion and geometry", Engare's design is based upon Islamic art and sacred geometry. The game consists of two gameplay modes: a puzzle-solving mode, where the player has to recreate shapes shown onscreen by placing a point on a moving object, akin to a Spirograph tool, and a free-form art tool allowing the player to design their own patterns. First prototyped in 2010, Engare was released in October 2017, and retails for $6.99 on Steam and Bahrami's website. The game's release was delayed by difficulties caused by international sanctions imposed upon Iran, making it difficult for Bahrami to travel and access resources.
Background
Bahrami has described the influences behind both the game's aesthetics and mechanics. The traditional Islamic geometric patterns featured in the game are widespread in Iran, and particularly in Bahrami's hometown of Isfahan, including the central Naqsh-e Jahan Square, a UNESCO World Heritage site. The game's mechanic was inspired by a question asked by Bahrami's high-school geometry teacher, when he asked students to imagine what shape would be traced by a point fixed to a ball when rolled across a flat surface - the result being a series of loops. Bahrami explains that even students who did not understand geometry were interested in the answer to this puzzle, and he was interested in using Engare to "explore mathematics in different ways [...] for some people it's easier to explore maths when it's visualised," and that "video games as a medium have great potential [for] these visualisations." Despite this, Bahrami says, he did not originally set out to make an educational game. The game is Bahrami's second to be inspired by traditional Islamic patterns, following Farsh, a game inspired by Persian carpets, which his mother wove when he was growing up.
Gameplay
Engare has two gameplay modes. The first is a puzzle-solving mode, where the player must recreate a shape shown on-screen by placing a point on a moving object that is drawn into a line as the object moves. As the puzzles become more complex, the player is rewarded with the creation of more and more intricate patterns created from their solution; in later levels these patterns repeat themselves and are coloured in. After enough puzzles are solved, a second gameplay mode is unlocked: a pattern design tool where the player can place dots and lines or colour in tiles to create repeating geometric patterns. These patterns can then be mapped onto a 3-D mosque-like dome and explored from different perspectives.
Reception
Engare has been received positively, with a demo version presented at the 2014 GDC Experimental Gameplay Workshop generating positive press coverage. Since its release, Engare has been praised by Sam Machkovech of Ars Technica, who describes the game as "[feeling] absolutely magical a |
https://en.wikipedia.org/wiki/Coarctate%20reaction | In the classification of organic reactions by transition state topology, a coarctate reaction (from L. coarctare "to constrict") is a third, comparatively uncommon topology, after linear topology and pericyclic topology (itself subdivided into Hückel and Möbius topologies).
Transition state topologies
Reactions of linear topology are the most common, and consist of all transformations whose transition states are acyclic, including addition, elimination, substitution, and (some types of) fragmentation reactions. In contrast, in pericyclic reactions, the atoms under chemical change form a closed cycle, and include reactions like the Diels-Alder reaction and Cope rearrangement, among many others.
In contrast to these types of reactions, a coarctate reaction is characterized by a doubly cyclic transition state, in which at least one atom undergoes the simultaneous making and breaking of two bonds. Thus, the topology of the transition state of a coarctate reaction is a constricted cycle that meets with itself (resembling a figure eight) while the topology of pericyclic and linear reactions are a circle (or Möbius strip) and line segment, respectively. The concept was first proposed by Herges.
Examples
The most well-known example of a coarctate transition state is that of the epoxidation of an olefin by dimethyldioxirane. In this transition state, the oxygen atom transferred to the olefin forms a cycle with the acetone leaving group and a cycle with the olefin undergoing epoxidation. Another well-studied reaction is the fragmentation of spirocyclic ozonides into formaldehyde, CO2, and an olefin.
Selection rules, resembling the Woodward-Hoffmann rules, have been proposed to explain patterns in reaction activation energy related to transition state topology or orbital symmetry.
References
Organic reactions |
https://en.wikipedia.org/wiki/Dissection%20into%20orthoschemes | In geometry, it is an unsolved conjecture of Hugo Hadwiger that every simplex can be dissected into orthoschemes, using a number of orthoschemes bounded by a function of the dimension of the simplex. If true, then more generally every convex polytope could be dissected into orthoschemes.
Definitions and statement
In this context, a simplex in -dimensional Euclidean space is the convex hull of points that do not all lie in a common hyperplane. For example, a 2-dimensional simplex is just a triangle (the convex hull of three points in the plane) and a 3-dimensional simplex is a tetrahedron (the convex of four points in three-dimensional space). The points that form the simplex in this way are called its vertices.
An orthoscheme, also called a path simplex, is a special kind of simplex. In it, the vertices can be connected by a path, such that every two edges in the path are at right angles to each other. A two-dimensional orthoscheme is a right triangle. A three-dimensional orthoscheme can be constructed from a cube by finding a path of three edges of the cube that do not all lie on the same square face, and forming the convex hull of the four vertices on this path.
A dissection of a shape (which may be any closed set in Euclidean space) is a representation of as a union of other shapes whose interiors are disjoint from each other. That is, intuitively, the shapes in the union do not overlap, although they may share points on their boundaries. For instance, a cube can be dissected into six three-dimensional orthoschemes. A similar result applies more generally: every hypercube or hyperrectangle in dimensions can be dissected into orthoschemes.
Hadwiger's conjecture is that there is a function such that every -dimensional simplex can be dissected into at most orthoschemes. Hadwiger posed this problem in 1956; it remains unsolved in general, although special cases for small values of are known.
In small dimensions
In two dimensions, every triangle can be dissected into at most two right triangles, by dropping an altitude from its widest angle onto its longest edge.
In three dimensions, some tetrahedra can be dissected in a similar way, by dropping an altitude perpendicularly from a vertex to a point in an opposite face, connecting perpendicularly to the sides of the face, and using the three-edge perpendicular paths through and to a side and then to a vertex of the face. However, this does not always work. In particular, there exist tetrahedra for which none of the vertices have altitudes with a foot inside the opposite face.
Using a more complicated construction, proved that every tetrahedron can be dissected into at most 12 orthoschemes.
proved that this is optimal: there exist tetrahedra that cannot be dissected into fewer than 12 orthoschemes. In the same paper, Böhm also generalized Lenhard's result to three-dimensional spherical geometry and three-dimensional hyperbolic geometry.
In four dimensions, at most 500 orthoschem |
https://en.wikipedia.org/wiki/1956%E2%80%9357%20FK%20Partizan%20season | The 1956–57 season was the 11th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1956–57 season.
Players
Squad information
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1956-57 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Rapp%20Creek%20%28Tinicum%20Creek%20tributary%29 | Rapp Creek is a tributary of Tinicum Creek in Nockamixon Township, Bucks County, Pennsylvania in the United States. Rapp Creek is part of the Delaware River watershed.
Statistics
Rapp Creek was entered into the Geographic Names Information System on 2 August 1979 as identification number 1184658. It appears in the Pennsylvania Gazatteer of Streams as identification number 03235 which indicates that Rapp Creek has a watershed of . Rapp Creek and Beaver Creek meet their confluences together at Tinicum Creek's 6.40 river mile.
Course
The headwaters of Rapp Creek rises from an unnamed pond south of Coffman Hill in upper Bucks County and flows into Lake Warren within a few hundred feet. Lake Warren was formed as a result of an earthen dam about 1935 and is owned by the Pennsylvania Fish and Game Commission. The dam is about 10 feet high, 110 feet long which allows Warren to contain a surface area of .
After Lake Warren, Rapp continues generally southeastward for about two-thirds of its length receiving a tributary from the left. Then as it turns to flow to the southeast, it picks up a tributary from the right bank next to a quarry. After a short length it meets Beaver Creek to form Tinicum Creek.
Geology
Appalachian Highlands Division
Piedmont Province
Gettysburg-Newark Lowland Section
Brunswick Formation
Lockatong Formation
Diabase
Rapp Creek begins in a region of diabase, an igneous intrusion rising during the Jurassic and the Triassic which consists of dark and very fine grained labradorite and augite. It then flows into the Lockatong Formation, a sedimentary layer consisting of dark-gray to black argillite, shale, with some limestone and calcareous shale. Shortly before it meets the Tinicum, it passes into the Brunswick Formation, which consists of sedimentary mudstone, siltstone, and shale. Mineralogy includes argillite and hornfels.
Crossings and Bridges
See also
List of rivers of the United States
List of rivers of Pennsylvania
List of Delaware River tributaries
References
Rivers of Bucks County, Pennsylvania
Rivers of Pennsylvania |
https://en.wikipedia.org/wiki/Alexey%20Georgiyevich%20Postnikov | Alexey Georgiyevich Postnikov (; 12 June 1921 – 22 March 1995) was a Russian mathematician, who worked on analytic number theory. He is known for the Postnikov character formula, which expresses the value of a Dirichlet character by means of a trigonometric function of a polynomial with rational coefficients.
Postnikov's father was a high-ranking economic functionary who was arrested in 1938 and became a victim of Stalin's purges. Alexei Postnikov studied from 1939 at the Lomonosov University, interrupted by WW II, so that his degree was delayed until 1946. In 1949 he received his Russian candidate degree (Ph.D.) from Lomonosov University under Alexander Gelfond with thesis On the differential independence of Dirichlet series. From 1950 Postnikov was at the Steklov Institute in Moscow in the department of number theory, led by Ivan Vinogradov, who exerted a great influence on Postnikov, who was also influenced by the Leningrad school of number theory under Yuri Linnik. In 1955 Postnikov published his famous formula, now known as the Postnikov character formula. This was also the subject of his Russian doctorate (higher doctoral recognition) in 1956 (Investigation of the method of Vinogradov for trigonometric sums (in Russian)). He was later a senior scientist at the Steklov Institute.
He also dealt with probability theory and Tauberian theorems in analysis.
In 1966, with Vinogradov, he was a Plenary Speaker of the ICM in Moscow with talk Recent developments in analytic number theory.
Selected publications
Introduction to Analytic Number Theory, American Mathematical Society, Translation of Mathematical Monographs 68, 1988 (translated from Russian original published by Nauka in Moscow in 1971)
Arithmetical modelling of random processes, Trudy Mat. Inst. Steklov 1960 (in Russian)
Ergodic aspects of the theory of congruences and of the theory of Diophantine approximations, Trudy Mat. Inst. Steklov 1966 (Russian), English translation Proc. Steklov Inst. Math. 1967
Tauberian theory and its applications, Trudy Mat. Inst. Steklow 142, 1979 (Russian), English translation Proc. Steklov Inst. Math. 1980
References
External links
mathnet.ru
Obituary (Russian) in Russian Mathematical Surveys 1998, Number Theory Web
1921 births
1995 deaths
20th-century Russian mathematicians
Soviet mathematicians
Scientists from Moscow
Number theorists
Moscow State University alumni |
https://en.wikipedia.org/wiki/Felix%20Horn%20Myhre | Felix Horn Myhre (born 4 March 1999) is a Norwegian football player who plays as midfielder for the Eliteserien club Brann.
Career statistics
Club
References
External links
1999 births
Living people
Norwegian men's footballers
Norway men's under-21 international footballers
Norway men's youth international footballers
Eliteserien players
Norwegian Second Division players
Norwegian Third Division players
Vålerenga Fotball players
FK Bodø/Glimt players
SK Brann players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Clearing%20denominators | In mathematics, the method of clearing denominators, also called clearing fractions, is a technique for simplifying an equation equating two expressions that each are a sum of rational expressions – which includes simple fractions.
Example
Consider the equation
The smallest common multiple of the two denominators 6 and 15z is 30z, so one multiplies both sides by 30z:
The result is an equation with no fractions.
The simplified equation is not entirely equivalent to the original. For when we substitute and in the last equation, both sides simplify to 0, so we get , a mathematical truth. But the same substitution applied to the original equation results in , which is mathematically meaningless.
Description
Without loss of generality, we may assume that the right-hand side of the equation is 0, since an equation may equivalently be rewritten in the form .
So let the equation have the form
The first step is to determine a common denominator of these fractions – preferably the least common denominator, which is the least common multiple of the .
This means that each is a factor of , so for some expression that is not a fraction. Then
provided that does not assume the value 0 – in which case also equals 0.
So we have now
Provided that does not assume the value 0, the latter equation is equivalent with
in which the denominators have vanished.
As shown by the provisos, care has to be taken not to introduce zeros of – viewed as a function of the unknowns of the equation – as spurious solutions.
Example 2
Consider the equation
The least common denominator is .
Following the method as described above results in
Simplifying this further gives us the solution .
It is easily checked that none of the zeros of – namely , , and – is a solution of the final equation, so no spurious solutions were introduced.
References
Elementary algebra
Equations |
https://en.wikipedia.org/wiki/Johann%20Schr%C3%B6der%20%28mathematician%29 | Johann Wiards Albert Schröder (4 April 1925, Norden, Lower Saxony – 3 January 2007) was a German mathematician.
Schröder studied mathematics and physics at Leibniz University Hannover and the University of Göttingen. In 1952 at Leibniz University Hannover he received his Promotion (Ph.D.) under Lothar Collatz for his thesis Fehlerabschätzungen zur Störungsrechnung bei linearen Eigenwertproblemen.
In 1955 Schröder received his Habilitation. From 1955 to 1957 he taught at the Braunschweig University of Technology and from 1957 to 1963 at the University of Hamburg, where from 1961 to 1963 he was an adjunct professor.
In 1963 Schröder was appointed professor at the University of Cologne, where he retired in 1986 as professor emeritus. He was a visiting professor at the University of Wisconsin–Madison for the academic year 1960–1961 and at the University of Washington, Seattle for the academic years 1964–1965 and 1969–1970.
In 1966 at the International Congress of Mathematicians in Moscow he was a Plenary Speaker with his talk Ungleichungen und Fehlerabschätzungen (Inequalities and error estimates).
He died as a result of an accident and was buried in the Bensberg cemetery.
Selected publications
Operator Inequalities. Academic Press, New York 1980.
Linear partial differential equations, self-adjoint partial differential operators, spectral theory. American Mathematical Society, November 2004.
Sources
Walter Habel: Wer ist wer? Lübeck 1993.
Obituary in the Frankfurter Allgemeine Zeitung, 13 January 2007
References
20th-century German mathematicians
21st-century German mathematicians
1925 births
2007 deaths
University of Hanover alumni
Academic staff of the University of Cologne
University of Washington faculty
University of Wisconsin–Madison faculty |
https://en.wikipedia.org/wiki/Generated%20%CF%83-algebra | The generated σ-algebra or generated σ-field refers to
The smallest σ-algebra that contains a given family of sets, see Generated σ-algebra (by sets)
The smallest σ-algebra that makes a function measurable or a random variable, see Sigma-algebra#σ-algebra generated by a function |
https://en.wikipedia.org/wiki/1960%E2%80%9361%20FK%20Partizan%20season | The 1960–61 season was the 15th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1960–61 season.
Players
Squad information
player (league matches/league goals)Tomislav Kaloperović (22/7)Milutin Šoškić (22/0) (goalkeeper)Velibor Vasović (22/1)Fahrudin Jusufi (22/0)Milan Galić (21/14)Milan Vukelić (20/8)Joakim Vislavski (20/5)Vladica Kovačević (18/4)Lazar Radović (17/3)Jovan Miladinović (16/2)Branislav Mihajlović (12/5)Aleksandar Jončić (11/0)Velimir Sombolac (9/0)Bora Milutinović (6/2)Bruno Belin (5/0)Ilija Mitić (5/0)Božidar Pajević (5/0)Milorad Milutinović (2/0)Miodrag Petrović (1/0)Dragomir Slišković (1/0)
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
Statistics
Goalscorers
This includes all competitive matches.
Score overview
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1960-61 (in Serbian)
FK Partizan seasons
Partizan
Yugoslav football championship-winning seasons |
https://en.wikipedia.org/wiki/Indiana%20Hoosiers%20women%27s%20volleyball | The Indiana Hoosiers women's volleyball team is currently coached by Steve Aird, who began in 2018.
Year by year highlights
Historical Statistics
*Statistics through 2015 season
See also
List of NCAA Division I women's volleyball programs
Big Ten Conference volleyball
References
External links |
https://en.wikipedia.org/wiki/2015%E2%80%9316%20Adelaide%20United%20FC%20%28W-League%29%20season | The 2015–16 Adelaide United W-League season was the club's eighth season in the W-League.
Players
Squad information
Transfers in
Transfers out
Managerial staff
Squad statistics
Competitions
W-League
League table
Results summary
Results by round
Matches
Notes
References
External links
Official Website
Adelaide United FC (A-League Women) seasons
Adelaide United |
https://en.wikipedia.org/wiki/Frank%20Williams%20%28footballer%2C%20born%201917%29 | Reginald Frank Williams (12 March 1917 – 24 November 1978) was a Welsh footballer who played as a goalkeeper for Wrexham and Halifax Town in the English Football League.
Statistics
Source:
References
1917 births
1978 deaths
Footballers from Wrexham County Borough
Welsh men's footballers
Men's association football goalkeepers
Wrexham A.F.C. players
Halifax Town A.F.C. players
English Football League players |
https://en.wikipedia.org/wiki/Ildar%20Ibragimov%20%28mathematician%29 | Ildar Abdulovich Ibragimov (Ильдар Абдулович Ибрагимов, born 15 July 1932, Leningrad) is a Russian mathematician, specializing in probability theory and mathematical statistics.
Biography
Ibragimov is the son of a father who was an engineer with Bashkir ancestry and a mother who was a physician from a Tatar family with origins in Kazan. Ildar Ibragimov studied at Leningrad State University, where he graduated in mathematics in 1956. He received in 1960 his Russian candidate degree (Ph.D.) under Yuri Linnik and in 1967 his Russian doctorate (higher doctoral degree). In 1969 he became a professor of probability at Leningrad State University.
He is a senior scientist and director of the laboratory of statistical methods at the Steklov Institute in Saint Petersburg, a position he has held there since 1972 as the successor to Yuri Linnik. Ibragimov was elected in 1990 a corresponding member and in 1997 a full member of the Russian Academy of Sciences. In 1970 he received the Lenin Prize. In 1989 he was the Wald Lecturer of the Institute of Mathematical Statistics. In 1966 in Moscow he was an Invited Speaker of the ICM.
His doctoral students include Taivo Arak and Boris Tsirelson.
Selected publications
with Linnik: Independent and stationary sequences of random variables, Groningen, Wolters-Noordhoff 1971
with Y. A. Rozanov: Gaussian Random Processes, Springer Verlag 1978
with R. Z. Hasminskii: Statistical estimation, asymptotic theory, Springer Verlag 1981
as editor with A. Yu. Zaitzev: Probability theory and mathematical statistics, Gordon and Breach 1996
as editor with N. Balakrishnan, V. B. Nevzorov: Asymptotic methods in probability and statistics with applications, Birkhäuser 2001
References
External links
Russian biography
20th-century Russian mathematicians
21st-century Russian mathematicians
Full Members of the Russian Academy of Sciences
Recipients of the Lenin Prize
1932 births
Living people
Saint Petersburg State University alumni
Academic staff of Saint Petersburg State University |
https://en.wikipedia.org/wiki/1983%E2%80%9384%20FK%20Partizan%20season | The 1983–84 season was the 38th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1983–84 season.
Friendlies
Competitions
Yugoslav First League
Matches
Yugoslav Cup
European Cup
First round
Second round
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1983-84 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Aleksander%20Pe%C5%82czy%C5%84ski | Aleksander "Olek" Pełczyński (2 July 1932, Tarnopol, Poland – 20 December 2012, Wrocław) was a Polish mathematician who worked in functional analysis.
Career
Pełczyński studied mathematics from 1950 to 1956 at the University of Warsaw and received there his doctorate in 1958 under Stanisław Mazur with dissertation Własności izomorficzne przestrzeni Banacha związane ze słabą zbieżnością bezwarunkową szeregów (Isomorphic properties of Banach spaces with regard to unconditional convergence of series). From 1967 to 2002 he worked at the Polish Academy of Sciences.
From 1967 onwards, he was a member of the editorial staff of the journal Studia Mathematica.
His doctoral students include Nicole Tomczak-Jaegermann and Stanisław Szarek.
He died in December 2012 and was buried in Warsaw.
Research
Pełczyński's main field of research was functional analysis, especially the theory of Banach spaces. The Bessaga–Pełczyński selection principle and the Pełczyński decomposition method are associated with his name.
Awards and honors
Pełczyński received the Stefan Banach Prize in 1961. In 1986, he was elected a member of the Akademie der Wissenschaften der DDR. He received the Stefan Banach Medal of the Polish Academy of Sciences in 1996. In 2005, he was granted an honorary doctorate from the Adam Mickiewicz University in Poznań.
In 1966, Pełczyński was (with Boris Mityagin) an invited speaker at the International Congress of Mathematicians in Moscow. In 1983, he was a plenary speaker at the International Congress of Mathematicians in Warsaw and gave the talk Structural Theory of Banach Spaces and Its Interplay with Analysis and Probability.
References
University of Warsaw alumni
Members of the German Academy of Sciences at Berlin
20th-century Polish mathematicians
21st-century Polish mathematicians
1932 births
2012 deaths |
https://en.wikipedia.org/wiki/1950%E2%80%9351%20FK%20Partizan%20season | The 1950–51 season was the fifth season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1950–51 season.
Players
Squad information
Šoštarić, Belin, Čolić, Čajkovski, Jovanović, Jakovetić, Bogojevac, Bobek, Valok, Atanacković, Herceg, Stojanović, Lazarević, Kolaković, P. Mihajlović, Zebec, Vorgić, Šijaković, Drenovac, Ančić, Srdzbadija Stanković, Stipić, Tapiška, Torbarov, Stokić, Ruman, Miloš Milutinović, Marjanović, Krajišnik, Branilović, Simonovski.
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
Statistics
Goalscorers
This includes all competitive matches.
Score overview
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1951 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Ruth%20Haas | Ruth Haas is an American mathematician and professor at the University of Hawaii at Manoa. Previously she was the Achilles Professor of Mathematics at Smith College. She received the M. Gweneth Humphreys Award from the Association for Women in Mathematics (AWM) in 2015 for her mentorship of women in mathematics. Haas was named an inaugural AWM Fellow in 2017. In 2017 she was elected President of the AWM and on February 1, 2019 she assumed that position.
Education
Haas received her Bachelor of Arts from Swarthmore College, her Master of Science from Cornell University, and her Ph.D. from Cornell University in 1987. Prior to becoming a professor at the University of Hawaii, Haas was Achilles Professor of Mathematics and Statistics at Smith College.
Career
Ruth Haas was a driving force in the strong and vibrant mathematics community at Smith College, where she taught for many years. At Smith Haas was instrumental in establishing the Center for Women in Mathematics and the highly-successful post-baccalaureate program at Smith. There is a plethora of other academic and community-building initiatives developed and supported by Haas, including a highly effective undergraduate research course, the annual Women In Mathematics In the Northeast (WIMIN) conference, a program for junior visitors, a high school outreach program, and weekly seminars. The AWM honored Ruth Haas’s outstanding achievements in inspiring undergraduate women to discover and pursue their passion for mathematics and eventually becoming mathematicians by awarding her the 2015 M. Gweneth Humphreys Award.
References
External links
American women mathematicians
Cornell University alumni
20th-century American mathematicians
21st-century American mathematicians
Living people
University of Hawaiʻi faculty
Year of birth missing (living people)
Smith College faculty
Mathematicians from Hawaii
Fellows of the Association for Women in Mathematics
Swarthmore College alumni
20th-century women mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Mariel%20V%C3%A1zquez | Mariel Vázquez (born ) is a Mexican mathematical biologist who specializes in the topology of DNA. She is a professor at the University of California, Davis, jointly affiliated with the departments of mathematics and of microbiology and molecular genetics.
Education
Vázquez received her Bachelor of Science in Mathematics from the National Autonomous University of Mexico in 1995. She received her Ph.D. in mathematics from Florida State University in 2000.
Her dissertation was entitled Tangle Analysis of Site-specific Recombination: Gin and Xer Systems and her advisor was De Witt Sumners.
Career
Vázquez was a postdoctoral fellow at the University of California, Berkeley from 2000 to 2005, where she researched mathematical and biophysical models of DNA repair in human cells with Rainer Sachs as part of the mathematical radiobiology group.
She was a faculty member in the mathematics department at San Francisco State University from 2005 to 2014.
In 2014, she joined the faculty at the University of California, Davis as a CAMPOS scholar.
Awards and honors
In 2011, Vázquez received a National Science Foundation CAREER Award to research topological mechanisms of DNA unlinking.
In 2012, she was the first San Francisco State University faculty member to receive the Presidential Early Career Award for Scientists and Engineers.
She received a grant for computer analysis of DNA unknotting from the National Institutes of Health in 2013.
In 2016, she was chosen for the Blackwell-Tapia prize, which is awarded every other year to a mathematician who has made significant research contributions in their field, and who has worked to address the problem of under-representation of minority groups in mathematics.
She was selected for the inaugural class of Association for Women in Mathematics fellows in 2017. She was elected a Fellow of the American Mathematical Society in the 2020 class "for contributions in research and outreach at the interface of topology and molecular biology, and for service to the mathematical community in particular to underrepresented groups."
References
External links
The Shape of DNA - Numberphile
How DNA unties its own knots - Numberphile
Stern, Gary M. A Scientific Star. The Hispanic Outlook in Higher Education. 18 February 2013.
Living people
1970s births
Year of birth missing (living people)
Mexican mathematicians
Mexican women mathematicians
Fellows of the Association for Women in Mathematics
Mathematical and theoretical biology
University of California, Davis faculty
San Francisco State University faculty
National Autonomous University of Mexico alumni
Florida State University alumni
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/Ilijas%20Farah | Ilijas Farah (born February 18, 1966, in Sremska Mitrovica, Serbia) is a Canadian-Serbian mathematician and a professor of mathematics at York University in Toronto and at the Mathematical Institute of Serbian Academy of Sciences and Arts, Belgrade, Serbia. His research focuses on applications of logic to operator algebras.
Career
He received his BSc and MSc in 1988 and 1992 respectively from the Belgrade University and his PhD in 1997 from the University of Toronto. He is now a Research Chair in Logic and Operator Algebras at York University, Toronto. Before moving to York University he was an NSERC Postdoctoral Fellow, York University (1997–99), a Hill Assistant Professor at Rutgers University (1999–2000), and a professor at CUNY–Graduate center and College of Staten Island (2000–02).
Awards, distinctions, and recognitions
Sacks prize for the best doctorate in Mathematical Logic, 1997
Governor General's gold medal for one of the two best doctorates at the University of Toronto, 1998
The Canadian Association for Graduate Studies/University Microfilms International Distinguished Dissertation Award, for the best dissertation in engineering, medicine and the natural sciences in Canada, 1998.
Dean's award for outstanding research, York University, 2006.
Faculty Excellence in Research Award (Established Research Award), Faculty of Science, York University, 2017
Professor Farah was an invited speaker at the ICM, Seoul 2014, section on Logic and Foundations, where he presented his work on applications of logic to operator algebras.
Sources
External links
Ilijas Farah: Krajnja proširenja modela, MSc thesis, Belgrade university 1992.
Living people
Canadian mathematicians
Mathematical logicians
Set theorists
1966 births |
https://en.wikipedia.org/wiki/Justin%20T.%20Moore | Justin Tatch Moore (born 1974) is a set theorist and logician. He is a full professor in mathematics at Cornell University.
Career
Moore received his PhD in 2000 from the University of Toronto under the supervision of Stevo Todorcevic. He was an assistant professor in mathematics at Boise State University. In the fall of 2007, he joined the faculty at Cornell University.
Research
His primary research area is Ramsey theory of infinite sets. He is known for solutions to the basis problem for uncountable linear orders and to the L space problem from general topology and for his work in determining the consequences of relating the continuum to certain values of the aleph function. Moore, together with his PhD student Yash Lodha, produced the first torsion-free and finitely presented counterexample to the von Neumann-Day problem, originally described by mathematician John von Neumann in 1929. Lodha presented this solution at the London Mathematical Society's Geometric and Cohomological Group Theory symposium in August 2013.
Awards, distinctions, and recognitions
Moore won the "Young Scholar's Competition" award in 2006, in Vienna, Austria. The Competition was a part of the "Horizons of Truth" celebrating the Gödel Centenary 2006. He was an invited speaker at the ICM, Hyderabad 2010, Logic session, where he presented his solution to the problem of constructing an L-space. The L-space was constructed without assuming additional axioms and by combining Todorcevic's rho functions with number theory.
Moore is an editor for the Archive of Mathematical Logic where he handles papers in set theory. He was one of the organizers of the fall 2012 Thematic Program in Forcing and its Applications (Forcing Axioms and their Applications) at the Fields Institute.
In 2012, he was elected as a Fellow (Inaugural Class of Fellows) of the American Mathematical Society.
Sources
External links
Justin Tatch Moore Collected Works
1974 births
Living people
Logicians
Set theorists
Cornell University faculty
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/1954%E2%80%9355%20FK%20Partizan%20season | The 1954–55 season was the ninth season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1954–55 season.
Players
Squad information
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
Statistics
Goalscorers
This includes all competitive matches.
Score overview
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1954-55 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/John%20Rogers%20Musselman | John Rogers Musselman (1 December 1890, Gettysburg, Pennsylvania – 8 August 1968, Cleveland) was an American mathematician, specializing in algebraic geometry and known for Musselman's theorem.
J. R. Musselman received his A.B. in 1910 from Pennsylvania College and his Ph.D. from Johns Hopkins University in 1916 under Arthur Byron Coble with thesis A set of eight self-associated points in space. Musselman was a teaching assistant at Gettysburg Academy from 1910 to 1912 and an instructor in mathematics at the University of Illinois in 1916–1918 and then at Washington University in St. Louis in 1920–1928. He was a professor mathematics at Western Reserve University from 1928 until his retirement as professor emeritus in 1961.
He was an Invited Speaker of the International Congress of Mathematicians in 1936 in Oslo.
Selected publications
"Spurious Correlation Applied to Urn Schemata." Journal of the American Statistical Association 18, no. 143 (1923): 908–911.
"On the linear correlation ratio in the case of certain symmetrical frequency distributions." Biometrika (1926): 228–231.
"On Circles Connected with Three and Four Lines." American Journal of Mathematics 59, no. 2 (1937): 371–375.
with Frank Morley: "On 2n points with a real cross-ratio." American Journal of Mathematics 59, no. 4 (1937): 787–792.
"On the line of images." American Mathematical Monthly 45, no. 7 (1938): 421–430.
"Some loci connected with a triangle." American Mathematical Monthly 47, no. 6 (1940): 354–361.
References
1890 births
1968 deaths
20th-century American mathematicians
Gettysburg College alumni
Johns Hopkins University alumni
Case Western Reserve University faculty
People from Gettysburg, Pennsylvania
Mathematicians from Pennsylvania
Washington University in St. Louis mathematicians |
https://en.wikipedia.org/wiki/Jorge%20D%C3%ADaz%20%28footballer%2C%20born%201998%29 | Jorge Roberto Díaz Price (born 27 July 1998) is a Mexican professional footballer who plays as a midfielder for Liga MX club León.
Career statistics
Club
Honours
León
CONCACAF Champions League: 2023
References
External links
Jorge Diaz at Debut Club Leon
1998 births
Living people
Footballers from Quintana Roo
Men's association football midfielders
Mexican men's footballers
Mexican expatriate men's footballers
Club León footballers
Everton de Viña del Mar footballers
Liga MX players
Chilean Primera División players
Expatriate men's footballers in Chile |
https://en.wikipedia.org/wiki/Kang-Tae%20Kim | Kang-Tae Kim (; born 1957) is a South Korean mathematician. He is a professor of mathematics at Pohang University of Science and Technology, and is the head of the Center for Geometric Research at the Center for Leading Research. He is one of executive editors of Complex Analysis and its Synergies, an international journal published by Springer-Verlag.
Education
1978: B. Sc.; 1980 M. Sc. in Mathematics, Seoul National University, Seoul, South Korea
1980–83: Lieutenant Junior Grade, Republic of Korea Navy
1983–88: University of California, Los Angeles, United States
1988: Ph D. in Mathematics from UCLA (advisor: Robert E. Greene)
Major academic positions
1988–1994: J.D. Tamarkin and regular assistant professor, Brown University, Rhode Island, United States
1994–1998: associate professor, POSTECH, South Korea
1999–present: professor of Mathematics, POSTECH, South Korea
1998–2000, 2004–2006: chairman, Mathematics Department of POSTECH (2 terms)
2011–present: director of the Center for Geometry and its Applications (SRC-GAIA)
Service
2013–present: executive editor, Complex Analysis and its Synergies (Springer)
2001–2009: associate editor, Journal of Mathematical Analysis and Applications (Elsevier)
2007: chief editor of the Journal of the Korean Mathematical Society
2008–present: editor, Journal of Geometric Analysis (Springer)
1997–present: chair organizer of the KSCV Conference (10 times)
2001–2005: organized conference/school (two times) in Centre International de Rencontres Mathématiques, Luminy, France
Books
R. E. Greene, K.-T. Kim and S. G. Krantz: The Geometry of complex domains, Progress in Mathematics, Volume 291, Birkhauser-Verlag. 2011
K.-T. Kim and Hanjin Lee: Schwarz’s lemma from a differential geometric viewpoint, * Indian Institute of Science, Bangalore, India, published by the World Scientific, 2011.
J.S. Bland, K.-T. Kim and S.G. Krantz, Eds. Complex and Riemannian geometry, Contemporary mathematics 322, American mathematical society, 2008.
김강태, 김성옥 (1999) 우리 아이들을 위한 미적분학 I, 교우사.
K.-T. Kim and S.G. Krantz, Eds. Complex geometry in Pohang , Contemporary mathematics 222, American mathematical society, 1998.
K.-T. Kim, Scaling methods in several complex variables, Lecture note series, Global Analysis Research Center, Seoul National University, 1990
Articles
Robert E. Greene, Kang-Tae Kim The Riemann mapping theorem from Riemann's viewpoint. Complex analysis and its synergies, 3:1, (2017). This is an Open-Access journal). The URL for the paper is .
Joo, Jae-Cheon; Kim, Kang-Tae; Schmalz, Gerd On the generalization of Forelli's theorem. Math. Ann. 365 (2016), no. 3-4, 1187–1200.
Kim, Kang-Tae; Zhang, Liyou On the uniform squeezing property of bounded convex domains in Cn . Pacific J. Math. 282 (2016), no. 2, 341–358.
Ahn, Taeyong; Gaussier, Hervé; Kim, Kang-Tae Positivity and completeness of invariant metrics. J. Geom. Anal. 26 (2016), no. 2, 1173–1185.
Fornaess, John-Erik; Kim, Kang-Tae Some prob |
https://en.wikipedia.org/wiki/List%20of%20Atlas%20launches%20%282020%E2%80%932029%29 |
Notable missions
Solar Orbiter
Mars 2020
Landsat 9
Lucy
Launch statistics
Launch sites
Launch outcomes
Rocket configurations
Launch history
2020
2021
2022
2023
Future launches
In August 2021, ULA announced that Atlas V would be retired, and all 29 remaining launches had been sold. , 17 launches remain, all of which are listed here: 7 Starliner missions, 8 launches for Kuiper, and 2 other launches.
2024 and later
See also
List of Thor and Delta launches (2020–2029)
References
Atlas |
https://en.wikipedia.org/wiki/1977%E2%80%9378%20FK%20Partizan%20season | The 1977–78 season was the 32nd season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1977–78 season.
Players
Squad information
players (league matches/ league goals): Momčilo Vukotić (34/11)Nenad Stojković (34/3)Nikica Klinčarski (34/2)Petar Borota (34/0) -goalkeeper-Aleksandar Trifunović (32/5)Borislav Đurović (28/1)Boško Đorđević (27/5)Jusuf Hatunić (27/0)Milovan Jović (24/6)Ilija Zavišić (24/4)Xhevad Prekazi (22/2)Ivan Golac (19/1)Pavle Grubješić (17/3)Slobodan Santrač (16/11)Vladimir Pejović (15/0)Tomislav Kovačević (14/0)Dragan Arsenović (11/0)Rešad Kunovac (8/0)Refik Kozić (5/1)Novica Vulić (4/0)Aranđel Todorović (2/0)Miroslav Polak (1/0)
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
Mitropa Cup
Final
Statistics
Goalscorers
This includes all competitive matches.
Score overview
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1977-78 (in Serbian)
FK Partizan seasons
Partizan
Yugoslav football championship-winning seasons |
https://en.wikipedia.org/wiki/Mabel%20Gweneth%20Humphreys | Mabel Gweneth Humphreys was a Canadian-American mathematician and Professor of Mathematics at Randolph-Macon Woman's College.
The M. Gweneth Humphreys Award of the Association for Women in Mathematics was established in her honor.
Education
Humphreys attended North Vancouver High School from 1925 to 1928.
She received her Bachelor of Arts with honors in mathematics from the University of British Columbia in 1932, where she held scholarships for all four years.
She studied at Smith College under Neil McCoy, Susan Miller Rambo, and Ruth G. Wood, and she received a master's degree in mathematics in 1933.
She received her Ph.D. in mathematics from the University of Chicago in 1935.
Her dissertation was entitled On the Waring Problem with Polynomial Summands and her advisor was Leonard Eugene Dickson.
Career
In 1981, Humphreys described her first attempts to find a job after completing her Ph.D.:
From 1935 to 1936, Humphreys was an instructor of mathematics and physics at Mount St. Scholastica College.
She began teaching at H. Sophie Newcomb Memorial College in 1936 and was promoted to assistant professor in 1941.
She was also an assistant professor at Barnard College in the summer of 1944, and an assistant professor at Tulane University in the summer of 1946.
In 1949, Humphreys became an associate professor at Randolph-Macon Woman's College.
After one year at Randolph-Macon, she was named Gillie A. Larew Professor and head of the mathematics department.
She was head of the department until 1979.
For the 1955-1956 academic year, Humphreys went on sabbatical leave to the University of British Columbia (UBC).
During this time, she visited undergraduate mathematics programs at several colleges and universities to examine their methods.
From 1962 to 1963 she was a visiting professor at UBC as a National Science Foundation (NSF) faculty fellow.
In the summers, Humphreys taught high school teachers at NSF summer institutes.
From 1965 to 1969, Humphreys worked for the Educational Testing Service.
She was also a consultant in 1975 for the American Council on Education regarding mathematics course credit given by nonacademic organizations.
Humphreys was an active member of the Mathematical Association of America at both the sectional and national levels.
Awards and legacy
Humphreys earned the Governor General's Gold Medal in 1932, which was awarded to the college student with the highest grade point average in Canada.
The M. Gweneth Humphreys Award of the Association for Women in Mathematics is named in her honor. Each year, this award is presented to a mathematics educator who has encouraged women undergraduates to pursue mathematical careers.
Personal life
Humphreys was born on October 22, 1911, in South Vancouver, British Columbia.
Her mother, Mabel Jane Thomas (1885-1963), was born in London, England, and worked as a dressmaker and a florist.
Her father was Richard Humphreys (1880-1969), a machinist who was born in Pwllheli in Northwest Wales. |
https://en.wikipedia.org/wiki/Horace%20Lyman | Horace Lyman (November 16, 1815 – March 31, 1887) was a reverend and professor of mathematics in the U.S. state of Oregon.
He was born in Massachusetts, and came to Oregon by way of New York and Cape Horn in October 1848. He married Mary Dennison the next month. He established a school in Portland in 1849, and helped establish the Hillsboro School District in Hillsboro in 1851. He was a founder of Portland's First Congregational Church in June 1851. He was founding secretary of LaCreole Academic Institutue near Dallas, Oregon in 1856.
Lyman served as Hillsboro's first commissioner, and later its school superintendent. He later taught math at Pacific University in Forest Grove, where he died in 1887.
His son, Horace Sumner Lyman, was a prominent journalist, historian, and educator.
References
External links
Transactions of the Fourteenth Annual Reunion of the Oregon Pioneer Association (1886)
letter to the Oregonian, 1852
Oregon clergy
1815 births
1887 deaths
Educators from Oregon
People from Hillsboro, Oregon
Pacific University faculty
People from Forest Grove, Oregon
People from Easthampton, Massachusetts
Williams College alumni
19th-century American clergy |
https://en.wikipedia.org/wiki/Arithmetic%20billiards | In recreational mathematics, arithmetic billiards provide a geometrical method to determine the least common multiple and the greatest common divisor of two natural numbers by making use of reflections inside a rectangle whose sides are the two given numbers. This is an easy example of trajectory analysis of dynamical billiards.
Arithmetic billiards have been discussed as mathematical puzzles by Hugo Steinhaus and Martin Gardner, and are known to mathematics teachers under the name 'Paper Pool'.
They have been used as a source of questions in mathematical circles.
The arithmetic billiard path
Consider a rectangle with integer sides, and construct a path inside this rectangle as follows:
start in a corner, and move along the straight line which makes a 45° angle with the sides;
every time that the path hits a side, reflect it with the same angle (the path makes either a left or a right 90° turn);
eventually (i.e. after a finite number of reflections) the path hits a corner and there it stops.
If one side length divides the other, the path is a zigzag consisting of one or more segments.
Else, the path has self-intersections and consists of segments of various lengths in two orthogonal directions.
In general, the path is the intersection of the rectangle with a grid of squares (oriented at 45° w.r.t. the rectangle sides).
Arithmetical features of the path
Call and the side lengths of the rectangle, and divide this into unit squares. The least common multiple is the number of unit squares crossed by the arithmetic billiard path or, equivalently, the length of the path divided by . In particular, the path goes through each unit square if and only if and are coprime.
Suppose that none of the two side lengths divides the other. Then the first segment of the arithmetic billiard path contains the point of self-intersection which is closest to the starting point. The greatest common divisor is the number of unit squares crossed by the first segment of the path up to that point of self-intersection.
The number of bouncing points for the arithmetic billiard path on the two sides of length equals , and similarly for the two sides of length . In particular, if and are coprime, then the total number of contact points between the path and the perimeter of the rectangle (i.e. the bouncing points plus starting and ending corner) equals .
The ending corner of the path is opposite to the starting corner if and only if and are exactly divisible by the same power of two (for example, if they are both odd), else it is one of the two adjacent corners, according to whether or has more factors in its prime factorisation.
The path is symmetric: if the starting and the ending corner are opposite, then the path is pointsymmetric w.r.t. the center of the rectangle, else it is symmetric with respect to the bisector of the side connecting the starting and the ending corner.
The contact points between the arithmetic billiard path and the recta |
https://en.wikipedia.org/wiki/1953%E2%80%9354%20FK%20Partizan%20season | The 1953–54 season was the eighth season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1953–54 season.
Players
Squad information
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
Statistics
Goalscorers
This includes all competitive matches.
Score overview
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1953-54 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Gabriele%20Vezzosi | Gabriele Vezzosi is an Italian mathematician, born in Florence (Italy). His main interest is algebraic geometry.
Vezzosi earned an MS degree in Physics at the University of Florence, under the supervision of Alexandre M. Vinogradov, and a PhD in Mathematics at the Scuola Normale Superiore in Pisa, under the supervision of Angelo Vistoli. His first papers dealt with differential calculus over commutative rings, intersection theory, (equivariant) algebraic K-theory, motivic homotopy theory, and existence of vector bundles on singular algebraic surfaces.
Around 2001–2002 he started his collaboration with Bertrand Toën. Together, they created homotopical algebraic geometry (HAG), whose more relevant part is Derived algebraic geometry (DAG) which is by now a powerful and widespread theory. Slightly later, this theory have been reconsidered, and highly expanded by Jacob Lurie.
More recently, Vezzosi together with Tony Pantev, Bertrand Toën and Michel Vaquié defined a derived version of symplectic structures and studied important properties and examples (an important instance being Kai Behrend's symmetric obstruction theories); further together with Damien Calaque these authors introduced and studied a derived version of Poisson and coisotropic structures with applications to deformation quantization.
Lately Toën and Vezzosi (partly in collaboration with Anthony Blanc and Marco Robalo) moved to applications of derived and non-commutative geometry to arithmetic geometry, especially to Spencer Bloch's conductor conjecture.
Vezzosi also defined a derived version of quadratic forms, and in collaboration with Benjamin Hennion and Mauro Porta, proved a very general formal gluing result along non-linear flags with hints of application to a yet conjectural Geometric Langlands program for varieties of dimension bigger than 1. Together with Benjamin Antieau, Vezzosi proved a Hochschild–Kostant–Rosenberg theorem (HKR) for varieties of dimension p in characteristic p.
In 2015 he organised the Oberwolfach Seminar on Derived Geometry at the Mathematical Research Institute of Oberwolfach in Germany, and is an organiser of the one-semester thematic program at Mathematical Sciences Research Institute in Berkeley, California in 2019 on Derived algebraic geometry.
Vezzosi spent his career so far in Pisa, Florence, Bologna and Paris, has had three PhD students (Schürg, Porta and Melani) and is full professor at the University of Florence (Italy).
References
External links
Personal web page
Gabriele Vezzosi at the Mathematics Genealogy Project
Gabriele Vezzosi Wikipedia entry in german
Ncatlab entry on derived algebraic geometry
Talk at Kashiwara's Conference (IHES, France) June 2017
1968 births
Living people
Italian mathematicians
University of Florence alumni
Scuola Normale Superiore di Pisa alumni
Scientists from Florence
Algebraic geometers
Academic staff of the University of Florence |
https://en.wikipedia.org/wiki/Cl%C3%A9ment%20Servais | Clément Joseph Servais (16 October 1862, Huy – 9 October 1935, Brussels) was a Belgian mathematician, specializing in geometry.
Servais attended secondary school at the Athénée royal de Huy. In 1881 he matriculated at the Normal School of Sciences of Ghent University. In 1884 he graduated there and passed the agrégation for teaching upper secondary classes. He then became a teacher in Ypres and in the following year he taught at the Athénée royal de Bruxelles but after a short time he was appointed a docent for teaching mathematical courses at the School of Civil Engineering of Ghent University.
In 1886 he received his Ph.D. at Ghent University. He became in 1887 a docent, in 1890 a professor extraordinarius, and in 1894 a professor ordinarius at the Faculty of Sciences of Ghent University. In 1932 he retired there as a professor emeritus.
On 15 December 1919 he was elected to the Royal Academies for Science and the Arts of Belgium. He was an Invited Speaker of the ICM in 1924 in Toronto.
Selected publications
"Sur la courbure des biquadratiques gauches de première espèce." Nouvelles annales de mathématiques: journal des candidats aux écoles polytechnique et normale 11 (1911): 289–302.
"Extension des théorèmes de Frégier aux courbes et aux surfaces algébriques." Nouvelles annales de mathématiques: journal des candidats aux écoles polytechnique et normale 12 (1912): 145–156.
"Sur les axes de l'indicatrice et les centres de courbure principaux en un point d'une surface du second ordre." Nouvelles annales de mathématiques: journal des candidats aux écoles polytechnique et normale 14 (1914): 193–218.
"Sur les surfaces tétraédrales symétriques." Nouvelles annales de mathématiques: journal des candidats aux écoles polytechnique et normale 19 (1919): 456–468.
"Un théorème général sur les complexes." Nouvelles annales de mathématiques: journal des candidats aux écoles polytechnique et normale 20 (1920): 347–355.
Bibliography
(list of publications by C. Servais)
References
1862 births
1935 deaths
Belgian mathematicians
Ghent University alumni
Academic staff of Ghent University |
https://en.wikipedia.org/wiki/Chandrasekhar%E2%80%93Wentzel%20lemma | In vector calculus, Chandrasekhar–Wentzel lemma was derived by Subrahmanyan Chandrasekhar and Gregor Wentzel in 1965, while studying the stability of rotating liquid drop. The lemma states that if is a surface bounded by a simple closed contour , then
Here is the position vector and is the unit normal on the surface. An immediate consequence is that if is a closed surface, then the line integral tends to zero, leading to the result,
or, in index notation, we have
That is to say the tensor
defined on a closed surface is always symmetric, i.e., .
Proof
Let us write the vector in index notation, but summation convention will be avoided throughout the proof. Then the left hand side can be written as
Converting the line integral to surface integral using Stokes's theorem, we get
Carrying out the requisite differentiation and after some rearrangement, we get
or, in other words,
And since , we have
thus proving the lemma.
References
Vector calculus |
https://en.wikipedia.org/wiki/Richard%20von%20Mises%20Prize | The Richard von Mises Prize is awarded annually by the International Association of Applied Mathematics and Mechanics (GAMM). Since its inception in 1989, the award is given to a young scientist (not older than 36) for outstanding scientific achievements in the field of Applied Mathematics and Mechanics. The prize is presented during the opening ceremony of the GAMM Annual Meeting where the winner will present his research in a plenary talk. The prize aims to reward and encourage young scientists whose research represents a major advancement in the field of Applied Mathematics and Mechanics.
Richard von Mises was an Austrian-American mathematician who worked among others on numerical mathematics, solid mechanics, fluid mechanics, statistics and probability theory.
Winners
The prize winners have included:
Alexander Mielke (1989)
Tobias von Petersdorff (1991)
Peter Fotin (1992)
Carsten Carstensen (1993)
Michael Fey (1993)
Christiane Tretter (1993)
Franz Marketz (1996)
Hermann Nirschel (1997)
Guido Schneider (1997)
Valery Levitas (1998)
Michael Ruzicka (1999)
Peter Eberhard (2000)
Udo Nackenhorst (2000)
Martin Rein (2000)
Herbert Steinrück (2001)
Britta Nestler (2002)
Xue-Nong Chen (2002)
Barbara Niethammer (2003)
Mark David Groves (2004)
Bernd Rainer Noack (2005)
José A. Carrillo (2006)
Michael Dumbser (2007)
Tatjana Stykel (2007)
Chiara Daraio (2008)
Daniel Balzani (2009)
Bernd Schmidt (2009)
Volker Gravemeier (2010)
Ulisse Stefanelli (2010)
Oliver Röhrle (2011)
Swantje Bargmann (2012)
Dennis M. Kochmann (2013)
Christian Linder (2013)
Irwin Yousept (2014)
Siddhartha Mishra (2015)
Dominik Schillinger (2015)
Josef Kiendl (2016)
Martin Stoll (2016)
Benjamin Klusemann (2017)
Christian Kuehn (2017)
Marc Avila (2018)
Dietmar Gallistl (2019)
Philipp Junker (2019)
Fadi Aldakheel (2020)
Elisa Davoli (2020)
Matti Schneider (2022)
See also
List of mathematics awards
References
Academic awards
Mathematics awards
Awards established in 1989 |
https://en.wikipedia.org/wiki/Markov%20theorem | In mathematics the Markov theorem gives necessary and sufficient conditions for two braids to have closures that are equivalent knots or links. The conditions are stated in terms of the group structures on braids.
Braids are algebraic objects described by diagrams; the relation to topology is given by Alexander's theorem which states that every knot or link in three-dimensional Euclidean space is the closure of a braid. The Markov theorem, proved by Russian mathematician Andrei Andreevich Markov Jr. describes the elementary moves generating the equivalence relation on braids given by the equivalence of their closures.
More precisely Markov's theorem can be stated as follows: given two braids represented by elements in the braid groups , their closures are equivalent links if and only if can be obtained from applying to a sequence of the following operations:
conjugating in ;
replacing by (here are the standard generators of the braid groups; geometrically this amounts to adding a strand to the right of the braid diagram and twisting it once with the (previously) last strand);
the inverse of the previous operation (if with replace with ).
References
Theorems in algebraic topology
Theorems in graph theory
Braids |
https://en.wikipedia.org/wiki/Paul%20Jean%20Joseph%20Barbarin | Paul Jean Joseph Barbarin (20 October 1855, Tarbes – 28 September 1931) was a French mathematician, specializing in geometry.
Education and career
Barbarin studied mathematics for a brief time at the École Polytechnique, but changed, at the age of 19, to the École Normale Supérieure, where he studied mathematics under Briot, Bouquet, Tannery, and Darboux. After graduation, Barbarin became a professor of mathematics at the Lyceum of Nice and then at the School of St.-Cyr of the Lyceum of Toulon. In 1891 he became a professor at the Lyceum of Bordeaux, where he taught for many years. At the time of his death he was a professor at the École Spéciale des Travaux Publics in Paris.
In 1903 the Kazan Physical and Mathematical Society of Kazan State University awarded the Lobachevsky Prize to Hilbert but the Society cited Barbarin as the second choice among the nominees considered. When Hilbert received the Society's award, Henri Poincaré contributed a report on the work of Hilbert, and Professor Mansion of Ghent contributed a report on the work of Barbarin. In a 1904 article published in the journal Science, G. B. Halsted gave an English summary of the two French reports.
Athanase Papadopoulos edited and translated Lobachevsky's Pangéométrie ou Précis de géométrie fondée sur une théorie générale et rigoureuse des parallèles (Pangeometry) and provided a footnote concerning Barbarin:
Barbarin was an Invited Speaker of the ICM in 1928 in Bologna.
Selected publications
Articles
"Note sur le planimètre polaire." Nouvelles annales de mathématiques: journal des candidats aux écoles polytechnique et normale 19 (1880): 212–215.
"Note sur les coordonnées bipolaires." Nouvelles annales de mathématiques: journal des candidats aux écoles polytechnique et normale 1 (1882): 15–28.
Sur le droite de Simson. Mathesis 2 (1882) Part I, 106–108, Part II, 122–129. (See Robert Simson.)
Note sur l'herpolhodie. Nouvelles annales de mathématiques: journal des candidats aux écoles polytechnique et normale 4 (1885): 538–556.
Systèmes isogonaux du triangle. Association française pour l'avancement des sciences 2 (1896) 89–105.
Triangles dont les bissectrices ont des longueurs données. Mathesis 16 (1896) 143–150.
Une généralisation de théorème de Joachimstal Revue de mathématiques spéciales 4 (1897) 353–354. (See Ferdinand Joachimstal.)
Constructions sphériques a la règle et au compas. Mathesis 19 (1899) Part I, 57–60, Part II, 81–85.
On the Utility of Studying Non-Euclidean Geometry. The American Mathematical Monthly 8, no. 8/9 (1901) 161–163. (trans. by G. B. Halsted)
Le cinquième livre de la Métagéométrie Mathesis 21 (1901) 177–191.
Bilatères et trilatères en Metagéométrie Mathesis 22 (1902) 187–193.
Les cosegments et les volumes en géométrie non euclidienne. Mémoires de la Société des sciences physiques et naturelles de Bordeaux, série 6, tome 2 (1902) 25–44.
Polygones réguliers sphériques et non-euclidiens. Le matematiche pure ed applicate 2 (1902) 137–145.
Calculs abrégés |
https://en.wikipedia.org/wiki/Matsusaburo%20Fujiwara | Matsusaburo Fujiwara (, Fujiwara Matsusaburō, 14 February 1881, Tsu, Mie – 12 October 1946, Fukushima) was a Japanese mathematician and historian of mathematics.
Education and career
Fujiwara graduated in June 1902 from secondary school at the Third Higher School in Kyoto and then studied mathematics at the University of Tokyo, where he graduated in 1905. His most important teacher was Rikitaro Fujisawa (1861–1933). In 1906 he became a secondary school teacher at the First Higher School Daiichi Kōtō Gakkō in Tokyo. In 1908 Fujiwara and Tsuruichi Hayashi (1873–1935) were appointed professors at Tohoku University in Sendai. To prepare for his professorial duties, Fujiwara was sent to study from 1908 to 1911 in Göttingen, Paris and Berlin. After his return in February 1912, Fujiwara worked closely with his colleague Tsuruichi Hayashi, who in 1911 founded the Tohoku Mathematical Journal. The Journal published many of Fujiwara's mathematical papers. In November 1914 he received his doctorate.
Fujiwara was an important contributor to the development of the Mathematical Institute of the University of Tokyo. His contacts with European mathematicians made it possible to create an extensive library. He worked in the mathematical fields of analysis, geometry, and number theory and wrote more than 100 mathematical articles in German, English, and Japanese. After the death of his colleague Hayashi in 1935, Fujiwara intensively studied the history of wasan, i.e. traditional Japanese mathematics. In 1928–1929 his two-volume algebra textbook was published, and from 1934 to 1939 his two-volume analysis textbook was published. His manuscript (about eight thousand pages) on the history of mathematics in Japan survived the bombing of Sendai in July 1945 and was published posthumously in 5 volumes from 1954 to 1960 by the Japan Academy. From historians active in the first half of the twentieth century, Matsusaburo Fujiwara and Yoshio Mikami are considered the two leading historians of wasan.
In 1925 he and the mathematician Teiji Takagi were elected to the Japan Academy. While Takagi was considered the more original researcher (on the basis of contributions to class field theory), Fujiwara was known for his scholarship. In 1936 Fujiwara was an Invited Speaker of the International Congress of Mathematicians in Oslo.
Selected publications
Meiji-zen Nippon Sugakushi (history of mathematics in Japan before the Meiji era), 5 vols., 1954 to 1960
Nippon Sugakushi-yo (brief history of Japanese mathematics), 1952
Seiyo Sugakushi (history of western mathematics from antiquity to Euler), 1956
(with Sōichi Kakeya): On some problems of maxima and minima for the curve of constant breadth and the in-revolvable curve of the equilateral triangle, Tōhoku Math. J. 11, 92–110, 1917
Ein Problem aus der Theorie der diophantischen Approximationen, lecture at the International Congress of Mathematicians in 1936 in Oslo, online
References
External links
Nachlass David Hilbert, Findb |
https://en.wikipedia.org/wiki/Peter%20Cox%20%28climatologist%29 | Peter M. Cox is professor of climate system dynamics within mathematics at the University of Exeter. Until 2006 he was the Science Director - Climate Change at the Centre for Ecology and Hydrology, and before that he was at the Hadley Centre for Climate Prediction and Research (1990-2004).
References
External links
https://www.researchgate.net/profile/Peter_Cox
https://www.youtube.com/watch?v=3bCMGjOKXeI
Academics of the University of Exeter
Living people
British climatologists
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Professorship%20of%20Mathematical%20Finance | The position of Professor of Mathematical Finance in the Mathematical Institute of the University of Oxford was established in 2002.
It is one of the six Statutory professorships in Mathematics at Oxford.
From 2005 to 2015, the position was designated as 'Nomura Chair of Mathematical Finance' and endowed by Nomura.
The post is associated with a professorial fellowship at St. Hugh's College, Oxford.
List of Professors of Mathematical Finance
The holders of the Chair have been:
XunYu Zhou, 2008-2016.
Rama Cont, 2018-
References
See also
List of professorships at the University of Oxford
Mathematics education in the United Kingdom
Mathematics
Professorships in mathematics
Lists of people associated with the University of Oxford
Statutory Professors of the University of Oxford |
https://en.wikipedia.org/wiki/Sheaf%20of%20algebras | In algebraic geometry, a sheaf of algebras on a ringed space X is a sheaf of commutative rings on X that is also a sheaf of -modules. It is quasi-coherent if it is so as a module.
When X is a scheme, just like a ring, one can take the global Spec of a quasi-coherent sheaf of algebras: this results in the contravariant functor from the category of quasi-coherent (sheaves of) -algebras on X to the category of schemes that are affine over X (defined below). Moreover, it is an equivalence: the quasi-inverse is given by sending an affine morphism to
Affine morphism
A morphism of schemes is called affine if has an open affine cover 's such that are affine. For example, a finite morphism is affine. An affine morphism is quasi-compact and separated; in particular, the direct image of a quasi-coherent sheaf along an affine morphism is quasi-coherent.
The base change of an affine morphism is affine.
Let be an affine morphism between schemes and a locally ringed space together with a map . Then the natural map between the sets:
is bijective.
Examples
Let be the normalization of an algebraic variety X. Then, since f is finite, is quasi-coherent and .
Let be a locally free sheaf of finite rank on a scheme X. Then is a quasi-coherent -algebra and is the associated vector bundle over X (called the total space of .)
More generally, if F is a coherent sheaf on X, then one still has , usually called the abelian hull of F; see Cone (algebraic geometry)#Examples.
The formation of direct images
Given a ringed space S, there is the category of pairs consisting of a ringed space morphism and an -module . Then the formation of direct images determines the contravariant functor from to the category of pairs consisting of an -algebra A and an A-module M that sends each pair to the pair .
Now assume S is a scheme and then let be the subcategory consisting of pairs such that is an affine morphism between schemes and a quasi-coherent sheaf on . Then the above functor determines the equivalence between and the category of pairs consisting of an -algebra A and a quasi-coherent -module .
The above equivalence can be used (among other things) to do the following construction. As before, given a scheme S, let A be a quasi-coherent -algebra and then take its global Spec: . Then, for each quasi-coherent A-module M, there is a corresponding quasi-coherent -module such that called the sheaf associated to M. Put in another way, determines an equivalence between the category of quasi-coherent -modules and the quasi-coherent -modules.
See also
quasi-affine morphism
Serre's theorem on affineness
References
External links
https://ncatlab.org/nlab/show/affine+morphism
Sheaf theory
Morphisms of schemes |
https://en.wikipedia.org/wiki/Thornton%20Carle%20Fry | Thornton Carle Fry (7 January 1892, Findlay, Ohio – 1 January 1991) was an applied mathematician, known for his two widely-used textbooks, Probability and its engineering uses (1928) and Elementary differential equations (1929).
Career
Thornton C. Fry received his bachelor's degree from Findlay College in 1912 and then pursued graduate study in Wisconsin in mathematics, physics, and astronomy. He received his M.A. in 1913 and his Ph.D. in 1920 in applied mathematics from the University of Wisconsin-Madison with thesis under the supervision of Charles S. Slichter.
Fry was employed as an industrial mathematician by Western Electric Company from 1916 to 1924 and then by Bell Telephone Laboratories (Bell Labs), which was half-owned by Western Electric. He headed a corporate division for industrial applications of mathematics and statistics and was involved in research and development for the U.S. federal government in both world wars.
After retiring (due to reaching the mandatory retirement age) from Bell Labs in 1956, he was hired by William Norris as a Senior Consultant for the UNIVAC division of Sperry Rand. He would subsequently be appointed as Vice-President head of the UNIVAC Division over Norris in April 1957. After retiring from Sperry-Rand in 1961 he worked as a consultant with Boeing Scientific Research Labs and also, during the 1960s, with Walter Orr Roberts, director of the National Center for Atmospheric Research.
In 1924 Fry was an Invited Speaker of the International Congress of Mathematicians in Toronto. In 1982 the Mathematical Association of America (MAA) gave him the MAA's distinguished service award.
Selected publications
with R. V. L. Hartley:
with R. V. L. Hartley:
with John R. Carson:
Patents
"System for determining the direction of propagation of wave energy." U.S. Patent 1,502,243, issued July 22, 1924.
"Harmonic analyzer." U.S. Patent 1,503,824, issued August 5, 1924.
"Filtering circuit." U.S. Patent 1,559,864, issued November 3, 1925.
References
1892 births
1991 deaths
People from Findlay, Ohio
20th-century American mathematicians
Scientists at Bell Labs
University of Findlay alumni
University of Wisconsin–Madison College of Letters and Science alumni
Fellows of the American Physical Society |
https://en.wikipedia.org/wiki/Hiroaki%20Terao | is a Japanese mathematician, known as, with Peter Orlik and Louis Solomon, a pioneer of the theory of arrangements of hyperplanes. He was awarded a Mathematical Society of Japan Algebra Prize in 2010.
Education
Terao started his studies at the University of Tokyo, where he earned in 1974 his bachelor's degree and in 1976 his master's degree. For his graduate studies he went to Kyoto University, where he earned in 1981 his Ph.D. degree, with a thesis written under the supervision of Kyoji Saito.
Career
He held teaching positions at International Christian University (1977–1991), University of Wisconsin–Madison (1990–1999), Tokyo Metropolitan University (1998–2006), and Hokkaido University (1996–1998, 2006–2015). He was dean of the school of science of Hokkaido University (2013–2015), after which he became vice president of Hokkaido University (2015–2017). He has been a professor emeritus at Hokkaido University since 2017. He is currently a guest professor at Tokyo Metropolitan University.
Research
In 1983, Terao asked whether the freeness of an arrangement is determined from its intersection lattice. This problem is now known as the Terao conjecture, and is still open.
Books
References
External links
Hiroaki Terao's Page
1951 births
Living people
20th-century Japanese mathematicians
21st-century Japanese mathematicians
Academic staff of Hokkaido University
University of Wisconsin–Madison faculty
International Christian University alumni
University of Tokyo alumni
Kyoto University alumni
Mathematicians from Tokyo
Japanese expatriates in the United States |
https://en.wikipedia.org/wiki/1973%E2%80%9374%20FK%20Partizan%20season | The 1973–74 season was the 28th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1973–74 season.
Players
Friendlies
Competitions
Yugoslav First League
Matches
Yugoslav Cup
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1973-74 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/1978%E2%80%9379%20FK%20Partizan%20season | The 1978–79 season was the 33rd season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1978–79 season.
Players
Squad information
Friendlies
Competitions
Yugoslav First League
Yugoslav Cup
European Cup
First round
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1978-79 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Regular%20distribution%20%28economics%29 | Regularity, sometimes called Myerson's regularity, is a property of probability distributions used in auction theory and revenue management. Examples of distributions that satisfy this condition include Gaussian, uniform, and exponential; some power law distributions also satisfy regularity.
Distributions that satisfy the regularity condition are often referred to as "regular distributions".
Definitions
Two equivalent definitions of regularity appear in the literature.
Both are defined for continuous distributions, although analogs for discrete distributions have also been considered.
Concavity of revenue in quantile space
Consider a seller auctioning a single item to a buyer with random value . For any price set by the seller, the buyer will buy the item if . The seller's expected revenue is . We define the revenue function as follows:
is the expected revenue the seller would obtain by choosing such that .
In other words, is the revenue that can be obtained by selling the item with (ex-ante) probability .
Finally, we say that a distribution is regular if is a concave function.
Monotone virtual valuation
For a cumulative distribution function and corresponding probability density function , the virtual valuation of the agent is defined as
The valuation distribution is said to be regular if is a monotone non-decreasing function.
Applications
Myerson's auction
An important special case considered by is the problem of a seller auctioning a single item to one or more buyers whose valuations for the item are drawn from independent distributions.
Myerson showed that the problem of the seller truthfully maximizing her profit is equivalent to maximizing the "virtual social welfare", i.e. the expected virtual valuation of the bidder who receives the item.
When the bidders valuations distributions are regular, the virtual valuations are monotone in the real valuations, which implies that the transformation to virtual valuations is incentive compatible.
Thus a Vickrey auction can be used to maximize the virtual social welfare (with additional reserve prices to guarantee non-negative virtual valuations).
When the distributions are irregular, a more complicated ironing procedure is used to transform them into regular distributions.
Prior-independent mechanism design
Myerson's auction mentioned above is optimal if the seller has an accurate prior, i.e. a good estimate of the distribution of valuations that bidders can have for the item.
Obtaining such a good prior may be highly non-trivial, or even impossible.
Prior-independent mechanism design seeks to design mechanisms for sellers (and agents in general) who do not have access to such a prior.
Regular distributions are a common assumption in prior-independent mechanism design.
For example, the seminal proved that if bidders valuations for a single item are regular and i.i.d. (or identical and affiliated),
the revenue obtained from selling with an English auction to bidders |
https://en.wikipedia.org/wiki/Burkard%20Polster | Burkard Polster (born 26 February 1965 in Würzburg) is a German mathematician who runs and presents the Mathologer channel on YouTube. He is a professor of mathematics at Monash University in Melbourne, Australia.
Education and career
Polster earned a doctorate from the University of Erlangen–Nuremberg in 1993 under the supervision of Karl Strambach. Other universities that Polster has been affiliated with, before joining Monash University in 2000, include the University of Würzburg, University at Albany, University of Kiel, University of California, Berkeley, University of Canterbury, and University of Adelaide.
Polster's research involves topics in geometry, recreational mathematics, and the mathematics of everyday life, including how to tie shoelaces or stabilize a wobbly table.
Books
Polster is the author of multiple books including:
Included in the four-book compilation Scientia: Mathematics, Physics, Chemistry, Biology, and Astronomy for All (2011) and translated into German as Sciencia: Mathematik, Physik, Chemie, Biologie und Astronomie für alle verständlich (Librero, 2014, in German).
References
External links
Mathologer, Polster's YouTube site
Maths Masters, Burkard Polster and Marty Ross
Australian mathematicians
20th-century German mathematicians
Recreational mathematicians
University of Erlangen-Nuremberg alumni
Academic staff of Monash University
Living people
Science-related YouTube channels
1965 births
Mathematics popularizers
21st-century German mathematicians
English-language YouTube channels |
https://en.wikipedia.org/wiki/Vyacheslav%20Erbes | Vyacheslav Ivanovich Erbes (born 14 January 1988) is a Kazakh footballer who last played for FC Makhtaaral in the Kazakhstan First Division.
Career statistics
International
Statistics accurate as of match played 3 March 2010
Honours
Club
Astana
Kazakhstan Cup (1): 2010
References
External links
1988 births
Living people
Kazakhstani men's footballers
Kazakhstan men's international footballers
Kazakhstan men's under-21 international footballers
Kazakhstan Premier League players
FC Astana players
FC Shakhter Karagandy players
FC Vostok players
Sportspeople from Oskemen
Men's association football midfielders |
https://en.wikipedia.org/wiki/Bernard%20Richards | Bernard Richards (born 16th October 1931) is a British computer scientist and an Emeritus Professor of Medical Informatics at the University of Manchester, England.
Richards studied mathematics and physics for his bachelor's degree. For his master's degree, he worked under the supervision of Alan Turing (1912–1954) at Manchester as one of Turing's last students, helping to validate Turing’s theory of morphogenesis. Reflecting on Turing's death at the age of 80 during Turing's centenary year in 2012, Richards commented: "The day he died felt like driving through a tunnel and the lights being switched off".
After Turing died, Richards changed his research area and worked for his doctorate, studying an aspect of optics, resulting in a Royal Society paper with his supervisor, Professor Emil Wolf. This provided a detailed description of the diffraction of light through a convex lens. After this, Richards moved into the area of medicine, producing an important paper on hormone peaks in the menstrual cycle. Later he worked on expert systems aimed at use in open heart surgery and also intensive care units.
Richards became Professor of Medical Informatics at Manchester University and latterly Emeritus Professor within the School of Computer Science.
Richards has been Chairman of the BCS Health Informatics Committee and in 1998 was made BCS Fellow of the Year for Services to Medical Informatics. He was the first President of the Institute for Health Record and Information Management (IHRIM), a member of the International Federation of Records Officers (IFRO). In Europe, he is an Honorary Member of the Ukrainian Association for Computer Medicine of the Ukraine, the Romanian Academy of Medical Science, the John von Neumann Computer Society of Hungary, the Czech Medical Informatics Society, and the Polish Medical Informatics Society. Richards was presented with an award by Queen Elizabeth II for contributing a morphogenesis memento to a time capsule during 2012, Alan Turing's centenary year.
References
1931 births
Living people
Alumni of the University of Manchester
Academics of the University of Manchester
English computer scientists
Health informaticians
Fellows of the British Computer Society
Fellows of the Institute of Mathematics and its Applications
Alan Turing |
https://en.wikipedia.org/wiki/1992%E2%80%9393%20FK%20Partizan%20season | The 1992–93 season was the 47th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1992–93 season.
Players
Squad information
Players (league matches/league goals)
Goran Pandurović
Nikola Damjanac
Vujadin Stanojković
Nebojša Gudelj
Slaviša Jokanović
Gordan Petrić
Budimir Vujačić
Vuk Rašović
Goran Bogdanović
Petar Vasiljević
Albert Nađ
Bratislav Mijalković
Zlatko Zahovič
Dragan Ćirić
Ljubomir Vorkapić
Branko Brnović
Slobodan Krčmarević
Savo Milošević
Đorđe Tomić
Slobodan Milanović
Dejan Rađenović
Blažo Pešikan
Dejan Tasić
Competitions
First League of FR Yugoslavia
Matches
FR Yugoslavia Cup
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1992-93 (in Serbian)
FK Partizan seasons
Partizan
Serbian football championship-winning seasons |
https://en.wikipedia.org/wiki/Joel%20Greenberg%20%28historian%29 | Joel Greenberg (born 1946) is an educational technology consultant and historian on the role of Bletchley Park in World War II.
Greenberg gained a PhD degree in numerical mathematics from the University of Manchester (UMIST) in 1973. For over 33 years, he worked for the Open University and held a number of director-level management positions. He lectures and writes about Bletchley Park and its role in World War II. He also conducts tours of the site. He is author of biographies about Gordon Welchman, a key figure at Bletchley Park during WWII, and Alastair Denniston, the first operational head of GCHQ. In 2017, he contributed a chapter to The Turing Guide on the German WWII Enigma machine.
Books
References
External links
Books by Joel Greenberg on Amazon.co.uk
1946 births
Living people
Alumni of the University of Manchester Institute of Science and Technology
People associated with the Open University
Bletchley Park people
English biographers
21st-century English historians
English military historians
Historians of World War II
Historians of technology
Tour guides |
https://en.wikipedia.org/wiki/Universal%20homeomorphism | In algebraic geometry, a universal homeomorphism is a morphism of schemes such that, for each morphism , the base change is a homeomorphism of topological spaces.
A morphism of schemes is a universal homeomorphism if and only if it is integral, radicial and surjective. In particular, a morphism of locally of finite type is a universal homeomorphism if and only if it is finite, radicial and surjective.
For example, an absolute Frobenius morphism is a universal homeomorphism.
References
External links
Universal homeomorphisms and the étale topology
Do pushouts along universal homeomorphisms exist?
Homeomorphisms
Morphisms of schemes |
https://en.wikipedia.org/wiki/Sheaf%20on%20an%20algebraic%20stack | In algebraic geometry, a quasi-coherent sheaf on an algebraic stack is a generalization of a quasi-coherent sheaf on a scheme. The most concrete description is that it is a data that consists of, for each a scheme S in the base category and in , a quasi-coherent sheaf on S together with maps implementing the compatibility conditions among 's.
For a Deligne–Mumford stack, there is a simpler description in terms of a presentation : a quasi-coherent sheaf on is one obtained by descending a quasi-coherent sheaf on U. A quasi-coherent sheaf on a Deligne–Mumford stack generalizes an orbibundle (in a sense).
Constructible sheaves (e.g., as ℓ-adic sheaves) can also be defined on an algebraic stack and they appear as coefficients of cohomology of a stack.
Definition
The following definition is
Let be a category fibered in groupoids over the category of schemes of finite type over a field with the structure functor p. Then a quasi-coherent sheaf on is the data consisting of:
for each object , a quasi-coherent sheaf on the scheme ,
for each morphism in and in the base category, an isomorphism
satisfying the cocycle condition: for each pair ,
equals .
(cf. equivariant sheaf.)
Examples
The Hodge bundle on the moduli stack of algebraic curves of fixed genus.
ℓ-adic formalism
The ℓ-adic formalism (theory of ℓ-adic sheaves) extends to algebraic stacks.
See also
Hopf algebroid - encodes the data of quasi-coherent sheaves on a prestack presentable as a groupoid internal to affine schemes (or projective schemes using graded Hopf algebroids)
Notes
References
Editorial note: This paper corrects a mistake in Laumon and Moret-Bailly's Champs algébriques.
External links
https://mathoverflow.net/questions/69035/the-category-of-l-adic-sheaves
http://math.stanford.edu/~conrad/Weil2seminar/Notes/L16.pdf Adic Formalism, Part 2 Brian Lawrence March 1, 2017
Sheaf theory
Algebraic geometry |
https://en.wikipedia.org/wiki/List%20of%20FC%20Astana%20records%20and%20statistics | FC Astana is a Kazakh professional football club based in Astana.
This list encompasses the major records set by the club and their players in the Kazakhstan Premier League. The player records section includes details of the club's goalscorers and those who have made more than 50 appearances in first-team competitions.
Player
Most appearances
Players played over 50 competitive, professional matches only. Appearances as substitute (goals in parentheses) included in total.
Goal scorers
Competitive, professional matches only, appearances including substitutes appear in brackets.
Clean sheets
Competitive, professional matches only, appearances including substitutes appear in brackets.
Internationals
Players who have played for their country before or during their time with Lokomotiv Astana/Astana. Players who earnt a cap whilst playing for Astana are marked in Bold,
Kazakhstan
CAF
AFC
CONCACAF
UEFA
Team
Record wins
Record win
7–0 v Atyrau (9 September 2017)
Record League win
7–0 v Atyrau (9 September 2017)
Record home win
7–0 v Atyrau (9 September 2017)
Record away win
6–1 v Irtysh Pavlodar (7 April 2018)
Record Cup win
4–0 v Vostok (1 May 2013)
4–0 v Tobol (18 June 2014)
Record Super Cup win
3–0 v Kairat (4 March 2018)
Record European win
5–1 v Valletta (8 August 2019)
Record defeats
Record defeat
6–0 v AZ Alkmaar (24 October 2019)
Record League defeat
5–0 v Irtysh Pavlodar (26 May 2011)
Record home defeat
0–5 v AZ Alkmaar (7 November 2019)
Record away defeat
6–0 v AZ Alkmaar (24 October 2019)
Record Cup defeat
3–0 v Kairat (7 November 2021)
3–0 v Kairat (20 November 2021)
Record Super Cup defeat
2–0 v Kairat (4 March 2017)
Record European defeat
6–0 v AZ Alkmaar (24 October 2019)
Wins/draws/losses in a season
Most wins in a league season 25 – 2017
Most draws in a league season 10 – 2014
Most defeats in a league season 10 – 2010
Fewest wins in a league season 11 – 2020
Fewest draws in a league season 0 – 2009
Fewest defeats in a league season 3 – 2021
Goals
Most League goals scored in a season 74 – 2017
Fewest League goals scored in a season 32 – 2020
Most League goals conceded in a season 37 – 2011
Fewest League goals conceded in a season 21 – 2016, 2017, 2020
Points
Most points in a season
77 in 33 matches, 2018 Kazakhstan Premier League
Fewest points in a season
33 in 32 matches, 2011 Kazakhstan Premier League
References
External links
FC Astana
FC Astana |
https://en.wikipedia.org/wiki/1999%E2%80%932000%20FK%20Partizan%20season | The 1999–2000 season was the 54th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1999–2000 season.
Competitions
First League of FR Yugoslavia
UEFA Champions League
First qualifying round
Second qualifying round
Third qualifying round
UEFA Cup
First round
See also
List of FK Partizan seasons
References
External links
Official website
Partizanopedia 1999-2000 (in Serbian)
FK Partizan seasons
Partizan |
https://en.wikipedia.org/wiki/Emma%20McCoy | Emma Joan McCoy is the Vice President and Pro-Vice Chancellor for Education and a Professor of Statistics at the London School of Economics and Political Science. She has acted as a mathematics subject expert for discussions on reform of the National Curriculum, and is a member of the Royal Statistical Society council.
Education
McCoy completed a PhD at Imperial College London in 1995 and a Master of Science degree in Computational Statistics in 1991 at the University of Bath. McCoy's PhD focused on the analysis and synthesis of long-memory processes. In particular, she investigated the use of the discrete wavelet transform and multitaper spectral estimation. She completed her thesis, Some New Statistical Approaches to the Analysis of Long Memory Processes, under the supervision of Andrew Walden.
Research and career
McCoy is interested in time series analysis and causal inference, with a particular focus on transport. Prior to joining LSE in October 2022, she was the Vice-Provost (Education and Student Experience) at Imperial College London, where she was appointed Professor of Statistics in 2014. McCoy previously taught several undergraduate courses at Imperial, as well as being an advisor for the EPSRC funded Mathematics of Planet Earth doctoral training centre.
She has given several public talks related to her research, and real world applications, like Inference Challenges in Transportation. In 2006 she delivered the London Mathematical Society popular lecture, From Magic Squares to Sudoku. She has been involved with the Royal Institution mathematics masterclasses since they started being held at Imperial College London. She is concerned about the future of mathematics education in the UK, and is a member of the Royal Society Advisory Committee of Mathematics Education. McCoy established a joint Mathematics with Education BSc at Imperial College, which was delivered jointly by Imperial College London and Canterbury Christ Church University.
McCoy is a Fellow of the Institute of Mathematics and its Applications and the Royal Statistical Society. She has also been a member of the Royal Statistical Society's Council and the Academic Affairs Advisory group. In 2017 she was appointed Vice-Dean for Education for the Faculty of Natural Sciences at Imperial College London. She is on the Council of the Royal Statistical Society.
McCoy was the first female professor of maths at Imperial College London. She was the mathematical advisor to the maths and computing section of the Suffrage Science scheme, which celebrates women in science for their scientific achievement and for their ability to inspire others. Suffrage Science was established in 2011 by the MRC Clinical Sciences Centre. In 2017 she received an award from the London Institute of Medical Sciences for establishing a Maths and Computing Group.
References
Living people
Academics of Imperial College London
Alumni of the University of Bath
British women mathematicians
British statist |
https://en.wikipedia.org/wiki/Binary%20tiling | In geometry, the binary tiling (sometimes called the Böröczky tiling) is a tiling of the hyperbolic plane, resembling a quadtree over the Poincaré half-plane model of the hyperbolic plane. It was first studied mathematically in 1974 by . However, a closely related tiling was used earlier in a 1957 print by M. C. Escher.
Tiles
In one version of the tiling, the tiles are shapes bounded by three congruent horocyclic segments (two of which are part of the same horocycle), and two line segments. All tiles are congruent. In the Poincaré half-plane model, the horocyclic segments are modeled as horizontal line segments (parallel to the boundary of the half-plane) and the line segments are modeled as vertical line segments (perpendicular to the boundary of the half-plane), giving each tile the overall shape in the model of a square or rectangle. However, in the hyperbolic plane, these tiles have five sides rather than four, and are not hyperbolic polygons, because their horocyclic edges are not straight. In the half-plane model, In this model, the hyperbolic length of a horizontal horocyclic segment is its Euclidean length in the model, divided by its Euclidean distance from the half-plane boundary. Therefore, in order to make the two horocyclic segments on the lower horizontal edge of each tile each have equal length to the single horocyclic segment on the top edge of the tile, it should be placed with its top edge twice as far from the half-plane boundary as its bottom.
An alternative and combinatorially equivalent version of the tiling places its vertices at the same points, but connects them by hyperbolic line segments instead of horocyclic segments, so that each tile becomes a hyperbolic convex pentagon. In this form of the tiling, the tiles do not appear as rectangles in the halfplane model, and the horocycles formed by horizontal sequences of edges are replaced by apeirogons.
Enumeration and aperiodicity
There are uncountably many different tilings of the hyperbolic plane by these tiles, even when they are modified by adding protrusions and indentations to force them to meet edge-to-edge. None of these different tilings are periodic (having a cocompact symmetry group), although some (such as the one in which there exists a line that is completely covered by tile edges) have a one-dimensional infinite symmetry group.
More strongly than having all tiles the same shape, all first coronas of tiles, the set of tiles touching a single central tile, have the same pattern of tiles (up to symmetries of the hyperbolic plane allowing reflections). For tilings of the Euclidean plane, having all first coronas the same implies that the tiling is periodic and isohedral (having all tiles symmetric to each other); the binary tiling provides a strong counterexample for the corresponding property in the hyperbolic plane.
Corresponding to the fact that these tilings are non-periodic but monohedral (having only one tile shape), the dual tilings of these tilings ar |
https://en.wikipedia.org/wiki/Configuration%20%28polytope%29 | In geometry, H. S. M. Coxeter called a regular polytope a special kind of configuration.
Other configurations in geometry are something different. These polytope configurations may be more accurately called incidence matrices, where like elements are collected together in rows and columns. Regular polytopes will have one row and column per k-face element, while other polytopes will have one row and column for each k-face type by their symmetry classes. A polytope with no symmetry will have one row and column for every element, and the matrix will be filled with 0 if the elements are not connected, and 1 if they are connected. Elements of the same k will not be connected and will have a "*" table entry.
Every polytope, and abstract polytope has a Hasse diagram expressing these connectivities, which can be systematically described with an incidence matrix.
Configuration matrix for regular polytopes
A configuration for a regular polytope is represented by a matrix where the diagonal element, Ni, is the number of i-faces in the polytope. The diagonal elements are also called a polytope's f-vector. The nondiagonal (i ≠ j) element Nij is the number of j-faces incident with each i-face element, so that NiNij = NjNji.
The principle extends generally to dimensions, where .
Polygons
A regular polygon, Schläfli symbol {q}, will have a 2x2 matrix, with the first row for vertices, and second row for edges. The order g is 2q.
A general n-gon will have a 2n x 2n matrix, with the first n rows and columns vertices, and the last n rows and columns as edges.
Triangle example
There are three symmetry classifications of a triangle: equilateral, isosceles, and scalene. They all have the same incidence matrix, but symmetry allows vertices and edges to be collected together and counted. These triangles have vertices labeled A,B,C, and edges a,b,c, while vertices and edges that can be mapped onto each other by a symmetry operation are labeled identically.
Quadrilaterals
Quadrilaterals can be classified by symmetry, each with their own matrix. Quadrilaterals exist with dual pairs which will have the same matrix, rotated 180 degrees, with vertices and edges reversed. Squares and parallelograms, and general quadrilaterals are self-dual by class so their matrices are unchanged when rotated 180 degrees.
Complex polygons
The idea is also applicable for regular complex polygons, p{q}r, constructed in :
The complex reflection group is p[q]r, order .
Polyhedra
The idea can be applied in three dimensions by considering incidences of points, lines and planes, or -spaces , where each -space is incident with -spaces . Writing for the number of -spaces present, a given configuration may be represented by the matrix
for Schläfli symbol {p,q}, with group order g = 4pq/(4 − (p − 2)(q − 2)).
Tetrahedron
Tetrahedra have matrices that can also be grouped by their symmetry, with a general tetrahedron having 14 rows and columns for the 4 vertices, 6 edges, and 4 f |
https://en.wikipedia.org/wiki/Barnab%C3%A1s%20T%C3%B3th | Barnabás Tóth (born 28 July 1994) is a Hungarian professional footballer who plays for Dorogi FC.
Club statistics
Updated to games played as of 1 September 2019.
References
1994 births
Living people
Footballers from Budapest
Hungarian men's footballers
Men's association football forwards
Puskás Akadémia FC players
Vác FC players
Diósgyőri VTK players
Tiszakécske FC footballers
Dorogi FC footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players |
https://en.wikipedia.org/wiki/Educational%20Launch%20of%20Nanosatellites | Educational Launch of Nanosatellites (ELaNa) is an initiative created by NASA to attract and retain students in the science, technology, engineering and mathematics disciplines. The program is managed by the Launch Services Program (LSP) at NASA's Kennedy Space Center in Florida.
Overview
The ELaNa initiative has made partnerships with universities in the US to design and launch small research satellites called CubeSats (because of their cube shape). These low-cost CubeSat missions provide NASA with valuable opportunities to test emerging technologies that may be useful in future space missions, while university students get to be involved in all phases of the mission, from instrument and satellite design, to launch and monitoring.
A CubeSat has a cubic shape measuring 10 × 10 × 10 cm (1 unit or 1U), and can be fabricated of multiple cubic units such as 2U, 3U and 6U, and weighing 1.33 kg per unit. Because of the high cost incurred by launching them to orbit, ELaNa's satellites are launched as secondary payload on other missions that have mass and space to spare. Since the launch waiting list has grown considerably, another initiative was launched in 2015 in partnership with the private industry to develop launch vehicles dedicated to CubeSats exclusively. A new company is called Rocket Lab and their launch vehicle is the Electron rocket. This agreement with NASA, enables the company to use NASA resources such as personnel, facilities and equipment for commercial launch efforts. In 2015, NASA contracted two other companies for this purpose: Firefly Space Systems and Virgin Galactic. Nevertheless, NASA CubeSats will continue to hitch rides as secondary payloads in larger rockets whenever possible.
As of August 2017, NASA's ELaNa initiative has selected 151 CubeSat missions, 49 of which have been launched into space.
Missions
ELaNa mission numbers are based on the order they are manifested; due to the nature of launching, the actual launch order differs from the mission numbers.
Launched missions
Future missions
List of future missions:
References
External links
ELaNa Home page at NASA
Past ELaNa missions at NASA
Upcoming ELaNa missions at NASA
CubeSat Launch Initiative at NASA
CubeSats
NASA programs
NASA oversight
Nanosatellites |
https://en.wikipedia.org/wiki/Monster%20File%20Number%20One | Monster File Number One is a 1981 role-playing game supplement published by The Dragon Tree.
Contents
Monster File Number One is a set of 48 filing cards with game statistics for a fantasy monster printed on one side and an illustration of the monster on the other side.
Reception
Lewis Pulsipher reviewed Monster File One in The Space Gamer No. 42. Pulsipher commented that "By 1974 standards this is a decent set - better than All the World's Monsters I, for example - but by 1981 standards the monsters do not show well. If the format appeals to you you might want to try this set or the planned Monster File Two. Otherwise, you'll have to decide if a few usable monsters are worth [the price]. I don't think so."
References
Fantasy role-playing game supplements
Role-playing game supplements introduced in 1981 |
https://en.wikipedia.org/wiki/Quaternionic%20manifold | In differential geometry, a quaternionic manifold is a quaternionic analog of a complex manifold. The definition is more complicated and technical than the one for complex manifolds due in part to the noncommutativity of the quaternions and in part to the lack of a suitable calculus of holomorphic functions for quaternions. The most succinct definition uses the language of G-structures on a manifold. Specifically, a quaternionic n-manifold can be defined as a smooth manifold of real dimension 4n equipped with a torsion-free -structure. More naïve, but straightforward, definitions lead to a dearth of examples, and exclude spaces like quaternionic projective space which should clearly be considered as quaternionic manifolds.
Early history
Marcel Berger's 1955 paper on the classification of Riemannian holonomy groups first raised the issue of the existence of non-symmetric manifolds with holonomy Sp(n)·Sp(1).Interesting results were proved in the mid-1960s in pioneering work by Edmond Bonan and Kraines who have independently proven that any such manifold admits a parallel 4-form .The long-awaited analog of strong Lefschetz theorem was published in 1982 :
Definitions
The enhanced quaternionic general linear group
If we regard the quaternionic vector space as a right -module, we can identify the algebra of right -linear maps with the algebra of quaternionic matrices acting on from the left. The invertible right -linear maps then form a subgroup of . We can enhance this group with the group of nonzero quaternions acting by scalar multiplication on from the right. Since this scalar multiplication is -linear (but not -linear) we have another embedding of into . The group is then defined as the product of these subgroups in . Since the intersection of the subgroups and in is their mutual center (the group of scalar matrices with nonzero real coefficients), we have the isomorphism
Almost quaternionic structure
An almost quaternionic structure on a smooth manifold is just a -structure on . Equivalently, it can be defined as a subbundle of the endomorphism bundle such that each fiber is isomorphic (as a real algebra) to the quaternion algebra . The subbundle is called the almost quaternionic structure bundle. A manifold equipped with an almost quaternionic structure is called an almost quaternionic manifold.
The quaternion structure bundle naturally admits a bundle metric coming from the quaternionic algebra structure, and, with this metric, splits into an orthogonal direct sum of vector bundles
where is the trivial line bundle through the identity operator, and is a rank-3 vector bundle corresponding to the purely imaginary quaternions. Neither the bundles or are necessarily trivial.
The unit sphere bundle
inside corresponds to the pure unit imaginary quaternions. These are endomorphisms of the tangent spaces that square to −1. The bundle is called the twistor space of the manifold , and its properties are described in |
https://en.wikipedia.org/wiki/Rodges%20Run%20%28Delaware%20River%20tributary%29 | Rodges Run is a tributary of the Delaware River in Durham Township, Bucks County, Pennsylvania in the United States.
Statistics
Rodges run was entered into the Geographic Names Information System by the U.S. Geological Survey on 30 August 1990 as identification number 1212006. It has a length of ; its headwaters rises at an elevation of and meets its confluence at the Delaware River's 173.1 River Mile at an elevation of for a total elevation drop of which give Rodges Run a slope of 202.27 feet per mile (19.8 meters per kilometer).
Course
Rodges Run rises near the center of Durham Township east of Lehnenberg, and runs generally east northeast, then skirts south and east around an elevation before it drains into the Pennsylvania Canal (Delaware Division).
Geology
Rodges Run rises in a bed of Hornblende Gneiss laid down during the Precambrian, the hornblende is mixed in with labradorite, the grains are about 1 to 2 mm in diameter. Then it moves into a bed of the Leithsville Formation consisting of dolomite, calcareous shale, and chert.
Crossings and Bridges
See also
List of rivers of the United States
List of rivers of Pennsylvania
List of Delaware River tributaries
References
Rivers of Bucks County, Pennsylvania
Rivers of Pennsylvania
Tributaries of the Delaware River |
https://en.wikipedia.org/wiki/Kent%20Mathematics%20Project | The Kent Mathematics Project (K.M.P.) was an educational system for teaching mathematics to 9-16 year olds. The system comprised task worksheets, booklets, audio compact cassettes and tests. Through the 1970s and 1980s, it was widely adopted in Kent schools, as well as being exported internationally.
The system was based on the idea that:
K.M.P. providing materials and structure for non-specialist teachers to teach math classes while sharing the effort required in producing suitable teaching material.
History
Started in 1966, the project originated at Ridgewaye School, Southborough, Tunbridge Wells which closed its doors in 1991. K.M.P went through several titles including "An Auto-Instructional Course in Mathematics" and "The Ridgewaye Individualized Course". The system was inspired by the self-directed learning of the Dalton Plan while attempting to avoid its pitfalls. K.M.P was gradually extended over time, involving trials at a number of schools before being more widely distributed. K.M.P. was adopted by the education authority in 1970 and used in over seventy schools around Kent.
In 1988, the project's director objected to the National Curriculum which emphasised goals to be achieved by particular ages.
Usage
To teach a specific concept, the teacher selected a set of twelve tasks called a "matrix" from a material bank for the pupil to complete. The teacher was expected to be available to mentor pupils if they encountered difficulty. The tasks were completed in any order, then self-corrected by the pupil and checked by the teacher. When the entire task matrix is completed, the pupil performed a test to check their understanding. The tests results were then used by the teacher to construct the next task matrix. This allowed children to progress at their own rate, either ahead or behind the rest of the class, while allowing the teacher to customize the course to the pupil's needs. Tasks were assigned a level of 1 to 9, depending on their difficulty. The difficulty of tasks assigned was based on the child's ability, rather than their age.
KMP materials were published by Ward Lock & Co.
Impact
Ideas from K.M.P. were adopted in later teaching tools, including Graded Assessment in Mathematics (GAIM) and Secondary Mathematics Individualised Learning Experiment (SMILE).
See also
Programmed learning
Mastery learning
Educational technology
References
Education in Kent
Mathematics education in the United Kingdom |
https://en.wikipedia.org/wiki/P%C3%A4rnu%20JK%20Poseidon | Pärnu JK Poseidon is a football club based in Pärnu, Estonia.
It has a reserve team, Pärnu JK Poseidon II, that currently plays in the IV Liiga.
Players
Current squad
Statistics
League and Cup
References
Pärnu JK Poseidon at Estonian Football Association
External links
Official website
Pärnu County
Football clubs in Estonia
Association football clubs established in 2013 |
https://en.wikipedia.org/wiki/Bence%20B%C3%A1rdos | Bence Bárdos (born 2 May 1998) is a Hungarian professional footballer who plays for Diósgyőr.
Club statistics
Updated to games played as of 16 March 2019.
References
1998 births
Living people
People from Ózd
Hungarian men's footballers
Men's association football defenders
Diósgyőri VTK players
Szolnoki MÁV FC footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
Footballers from Borsod-Abaúj-Zemplén County |
https://en.wikipedia.org/wiki/Patrik%20Ternov%C3%A1n | Patrik Ternován (born 10 June 1997) is a Hungarian professional footballer who plays for Kazincbarcika.
Club statistics
Updated to games played as of 25 August 2019.
References
1997 births
Living people
People from Miskolc
Hungarian men's footballers
Men's association football midfielders
Diósgyőri VTK players
Balmazújvárosi FC players
Tiszakécske FC footballers
Soroksár SC players
Kazincbarcikai SC footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
Nemzeti Bajnokság III players
21st-century Hungarian people |
https://en.wikipedia.org/wiki/David%20Gregory%20Ebin | David Gregory Ebin (born 24 October 1942, Los Angeles) is an American mathematician, specializing in differential geometry.
Ebin received in 1964 from Harvard University his bachelor's degree and in 1967 his Ph.D. from Massachusetts Institute of Technology under Isadore Singer with thesis On the space of Riemannian metrics. From 1968 to 1969 Ebin was a lecturer at the University of California, Berkeley. He became in 1969 an associate professor and in 1978 a full professor at the Stony Brook University.
Ebin in the academic years 1983–1984 and 1991–1992 was a visiting professor at UCLA, in 1971 a docent at the École Polytechnique and the University of Paris VII, and in 1976 a member of the Courant Institute in New York. He was elected a Fellow of the American Mathematical Society in 2012.
His research deals with differential geometry, infinite-dimensional manifolds (in hydrodynamics and in his treatment of the space of Riemannian metrics), nonlinear partial differential equations, mathematical hydrodynamics (including slightly compressible fluids), and elastodynamics. He investigated in his dissertation the space of Riemannian metrics on a compact manifold and gave this infinite-dimensional space a Riemannian structure.
In 1970 he was, with Jerrold Marsden, an Invited Speaker with talk On the motion of incompressible fluids at the ICM in Nice.
Ebin is since 1971 married to Barbara Jean Ebin and has four children.
Selected publications
with Jeff Cheeger: Comparison theorems in Riemannian Geometry, North Holland 1975
On the space of Riemannian metrics, Bulletin of the AMS, vol. 74, 1968, pp. 1001–1003
The space of Riemannian Metrics, in S. S. Chern, Stephen Smale (eds.), Global Geometry, AMS 1970
with Jerrold Marsden: Groups of diffeomorphisms and the solution of the classical Euler equations for a perfect fluid, Bulletin of the American Mathematical Society, vol. 75, 1969, pp. 962–967
with Jerrold Marsden, Arthur E. Fischer: Diffeomorphism groups, hydrodynamics and relativity. In: Proceedings of the 13th Biennial Seminar of Canadian Mathematical Congress, Canadian Mathematical Congress 1972, pp. 135–279
with Jerrold Marsden: Groups of diffeomorphisms and the motion of an incompressible fluid, Annals of Mathematics, vol. 92, 1970, pp. 102–163
References
20th-century American mathematicians
21st-century American mathematicians
Harvard University alumni
Massachusetts Institute of Technology alumni
Stony Brook University faculty
Fellows of the American Mathematical Society
1942 births
Living people |
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