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https://en.wikipedia.org/wiki/Alta%20V%C3%A1%C5%A1ov%C3%A1
|
Alta Vášová (born 27 May 1939 in Vynohradiv) in a Slovak sci-fi writer, film and television writer and child stories author.
Life
Vášová studied Mathematics and Physics Teaching at the Comenius University (then called Higher School of Pedagogy in Bratislava). In addition to writing, she worked as writer in Koliba, Bratislava and Barrandov, Prague. She also worked as a cleaner and guide at the Zvíkov Castle. Between 1968 - 1973 she was a dramaturgist at the Slovak Public Television.
Vášová lives in Bratislava. She was formerly married to the architect Dimitrij Jurkovič. The marriage resulted in twins Ilja and Dušan. Her second husband is the literature critic Peter Zajac with whom she has twins Marek and Matúš.
Works
Vášová published in literature magazines Mladá Tvorba, Romboid and Slovenské rozhľady. She focuses on civilizational, ecological, biographic and sci-fi genres as well as relationships between children and parents. She received Anasoft litera prize for her 2008 novel Ostrovy nepamäti (Islands of unmemory) and Dominik Tatarka prize for 2019 novel Odlety (Departures). In 2018, the president of Slovakia Andrej Kiska awarded her the Order of Ľudovít Štúr, 2nd class.
She wrote the script of the popular television fairy tale Neberte nám princeznú (Let the Princess Stay with Us).
References
Slovak screenwriters
Slovak women writers
Slovak novelists
Living people
1939 births
Comenius University alumni
People from Vynohradiv
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https://en.wikipedia.org/wiki/Florence%20Purington
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Florence E. Purington (August 12, 1862 – May 22, 1950) was an American college administrator and mathematics professor. She was the first dean of Mount Holyoke College, holding that office from 1907 to 1929.
Early life and education
Florence Purington was born in Burnt Hills, New York, the daughter of Lewis Madison Purington and Emily Sherman Purington. She graduated from Mount Holyoke Female Seminary in 1886, and earned a bachelor's degree at Mount Holyoke College in 1896.
Career
Purington was on the faculty of Mount Holyoke College from 1887 to 1929, at first as a mathematics instructor, and then as treasurer from 1902 to 1907, then as the first dean of the college from 1907 to 1929. She was on the board of three women's colleges in India. From 1925 to 1942, she was on the college's board of trustees. In 1926 and 1927 she traveled to India, Ceylon, China, and Japan to visit Mount Holyoke alumnae who were American missionaries working in those countries. She was president of the National Association of Deans from 1925 to 1926, and active in the American Association of University Women (AAUW). When she retired in 1929, she was replaced by two women, Alice Brown Frame as dean of residence, and Harriet May Allyn as social dean.
Honors
The Florence Purington Prize was established by Mount Holyoke alumnae in 1919, and presented annually to a high-ranking first-year student until 1950. The Florence Purington Lectures at Mount Holyoke featured prominent campus visitors, who are given the Purington Chair; Bertrand Russell held the Florence Purlington Visiting Professorship in 1950. Poet W. H. Auden, philosopher Walter Terence Stace, historian Geoffrey Bruun, geneticist Salome Gluecksohn-Waelsch, historian John Conway, and politician Shirley Chisholm later occupied the Purington Chair.
Personal life
Purington lived with her sister Emily in South Hadley. She died in 1950, in Holyoke, Massachusetts, aged 87 years.
References
1862 births
1950 deaths
Mount Holyoke College alumni
Mount Holyoke College faculty
American women academics
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https://en.wikipedia.org/wiki/Abraham%20Bass%20%28footballer%29
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Abraham Bass Flores (born 9 August 2001) is a Mexican professional footballer who plays as a defensive midfielder.
Career statistics
Club
References
External links
Living people
2001 births
Men's association football midfielders
Atlas F.C. footballers
Liga de Expansión MX players
Liga MX players
C.D.S. Tampico Madero footballers
Footballers from Mexico City
Mexican men's footballers
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https://en.wikipedia.org/wiki/Jorge%20Guzm%C3%A1n%20%28footballer%29
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Jorge Luis Guzmán Rodríguez (born 13 December 2003) is a Mexican professional footballer who plays as a forward for Liga MX club Atlas.
Career statistics
Club
References
External links
Living people
2003 births
Men's association football forwards
Atlas F.C. footballers
Liga MX players
Footballers from Jalisco
People from Puerto Vallarta
Mexican men's footballers
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https://en.wikipedia.org/wiki/Negative%20log%20predictive%20density
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In statistics, the negative log predictive density (NLPD) is a measure of error between a model's predictions and associated true values. A smaller value is better. Importantly the NLPD assesses the quality of the model's uncertainty quantification. It is used for both regression and classification.
To compute: (1) find the probabilities given by the model to the true labels. (2) find the negative log of this product. (we actually find the negative of the sum of the logs, for numerical reasons).
Definition
where is the model, are the inputs (independent variables) and are the observations outputs (dependent variable).
Example
Calculating the NLPD for a simple classification example
We have a method that classifies images as dogs or cats. Importantly it assigns probabilities to the two classes.
We show it a picture of three dogs and three cats. It predicts that the probability of the first three being dogs as 0.9 and 0.4, 0.7 and of the last three being cats as 0.8 and 0.4, 0.3.
The NLPD is: .
Comparing to a classifier with better accuracy but overconfident
We compare this to another classifier which predicts the first three as being dogs as 0.95, 0.98, 0.02, and the last three being cats as 0.99, 0.96,0.96. The NLPD for this classifier is 4.08. The first classifier only guessed half correctly, so did worse on a traditional measure of accuracy (compared to 5/6 for the second classifier). However it performs better on the metric of NLPD: The second classifier is effectively 'confidently wrong' which is penalised heavily by this metric.
Compared to a very under-confident classifier
A third classifier than just predicts 0.5 for all classes will have an NLPD in this case of 4.15: worse than either of the others.
Usage
It is used extensively in probabilistic modelling research. Examples include:
- Candela, Joaquin Quinonero, et al. "Propagation of uncertainty in bayesian kernel models-application to multiple-step ahead forecasting." 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings.(ICASSP'03).. Vol. 2. IEEE, 2003.
- Kersting, Kristian, et al. "Most likely heteroscedastic Gaussian process regression." Proceedings of the 24th international conference on Machine learning. 2007.
- See also https://onlinelibrary.wiley.com/doi/pdfdirect/10.1111/coin.12411 for a background of other approaches (confusingly the definition in that reference says that the NLPD is what most others refer to as the *average* NLPD). I.e. .
- Heinonen, Markus, et al. "Non-stationary gaussian process regression with hamiltonian monte carlo." Artificial Intelligence and Statistics. PMLR, 2016.
Etc...
Statistical theory
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https://en.wikipedia.org/wiki/Rodrigo%20L%C3%B3pez%20%28footballer%2C%20born%202001%29
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Rodrigo López Quiñones (born 12 November 2001) is a Mexican professional footballer who plays as a midfielder for Liga MX club UNAM.
Career statistics
Club
Honours
Mexico U23
Central American and Caribbean Games: 2023
References
External links
Living people
2001 births
Mexican men's footballers
Men's association football midfielders
Liga MX players
Querétaro F.C. footballers
Footballers from Mexico City
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https://en.wikipedia.org/wiki/2018%20FIVB%20Volleyball%20Women%27s%20World%20Championship%20statistics
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The final tournament was held in Japan from 29 September to 20 October 2022. Serbia won their first world title, defeating Italy in five sets at the final.
First round
<div style="overflow-x: auto; white-space: nowrap;">
Pool A
Total matches played : 15
Total sets played : 49 (3.27 per match)
Total points played : 2,167 (145 per match)
Pool B
Total matches played : 15
Total sets played : 50 (3.33 per match)
Total points played : 2,139 (143 per match)
Pool C
Total matches played : 15
Total sets played : 57 (3.80 per match)
Total points played : 2,422 (161 per match)
Pool D
Total matches played : 15
Total sets played : 45 (3.00 per match)
Total points played : 1,898 (127 per match)
Second round
Pool E
Total matches played : 16
Total sets played : 60 (3.75 per match)
Total points played : 2,603 (163 per match)
Pool F
Total matches played : 16
Total sets played : 56 (3.50 per match)
Total points played : 2,453 (153 per match)
Third round
Pool G
Total matches played : 3
Total sets played : 12 (4.00 per match)
Total points played : 531 (177 per match)
Pool H
Total matches played : 3
Total sets played : 14 (4.67 per match)
Total points played : 592 (197 per match)
Final round
Total matches played* : 5
Total sets played* : 21 (4.20 per match)
Total points played* : 934 (187 per match)
* (inc. 5th place match)
Tournament statistics
Host cities
Japan : Yokohama, Sapporo, Kobe, Hamamatsu, Nagoya, Osaka
Venues
Yokohama : Yokohama Arena (12,000)
Sapporo : Hokkaido Prefectural Sports Center (8,000)
Kobe : Kobe Green Arena (6,000)
Hamamatsu : Hamamatsu Arena (8,200)
Nagoya : Nippon Gaishi Hall (10,000)
Osaka : Osaka Municipal Central Gymnasium (8,000)
Attendance
Matches played : 103
Attendance (first round) (played 60) : 100,705 (1,678 per match)
Attendance (second round) (played 32) : 53,410 (1,669 per match)
Attendance (third round) (played 6) : 22,250 (3,708 per match)
Attendance (final round) (played 5) : 48,050 (9,610 per match)
Total attendance on tournament : 224,415 (2,179 per match)
Most attendance : 11,500 - v. , Yokohama Arena, Yokohama on 19 October 2018.11,500 - v. , Yokohama Arena, Yokohama on 20 October 2018.
Fewest attendance : 160 - v. , Osaka Municipal Central Gymnasium, Osaka on 11 October 2018.
Matches
Most matches wins : 11 - , ,
Fewest matches wins : 0 - , ,
Most matches lost : 8 -
Fewest matches lost :2 - , , ,
Longest match played (duration) : 158 min. - vs. (2h,38m)
Shortest match played (duration) : 58 min. - vs. (0h,58m)
Sets
Total sets (first round) : 201 (3.35 per match)
Total sets (second round) : 116 (3.63 per match)
Total sets (third round) : 26 (4.33 per match)
Total sets (final round) : 21 (4.20 per match)
Total sets scored : 364 (3.53 per match)
Most sets played : 49 -
Most sets wins : 36 - ,
Fewest sets wins : 0 -
Most sets lost : 24 -
Fewest sets lost : 10 -
Most 5 sets played : 4 - , ,
Most 5 sets win : 2 - , , (2/1), (2/2)
Most 5 sets lo
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https://en.wikipedia.org/wiki/Rafael%20Fern%C3%A1ndez%20%28footballer%29
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Rafael Eduardo Fernández Inzunza (born 5 August 2000) is a Mexican professional footballer who plays as a centre-back for Liga MX club Tijuana.
Career statistics
Club
References
External links
Living people
2000 births
Mexican men's footballers
Men's association football defenders
Dorados de Sinaloa footballers
Liga de Expansión MX players
Liga MX players
Querétaro F.C. footballers
Footballers from Sinaloa
Footballers from Culiacán
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https://en.wikipedia.org/wiki/Ettson%20Ay%C3%B3n
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Ettson Ayón Calderón (born 26 March 2001) is a Mexican professional footballer who plays as a forward for Liga MX club Querétaro.
Career statistics
Club
Honours
Mexico U23
Central American and Caribbean Games: 2023
Individual
Central American and Caribbean Games Top Scorer (Shared): 2023
References
External links
Living people
2001 births
Mexican men's footballers
Mexico men's youth international footballers
Men's association football forwards
Club Tijuana footballers
Liga MX players
Querétaro F.C. footballers
Footballers from Tijuana
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https://en.wikipedia.org/wiki/List%20of%20S%C3%A3o%20Paulo%20FC%20records%20and%20statistics
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São Paulo FC is an association football club based in São Paulo, Brazil. Being one of the most successful and well-known clubs in the country, with a crowd of approximately 20 million fans, the club founded on 25 January 1930 has a series of records and achievements, some of them unique in all of Brazilian football.
Players
Appearances
Following is the list of the players with most appearances for São Paulo:
Most appearances in Copa Libertadores: 90 – Rogério Ceni
Most appearances in Campeonato Brasileiro Série A: 575 – Rogério Ceni
Most appearances in Copa do Brasil: 67 – Rogério Ceni
Most appearances in Campeonato Paulista: 343 – Waldir Peres
Most appearances in 20th century: 617 – Waldir Peres
Most appearances in 21st century: 906 – Rogério Ceni
Most appearances has a captain: 978 – Rogério Ceni
Most consecutive appearances: 132 – Rogério Ceni (23 January 2010 − 26 October 2011)
Most appearances in a single season: 79 – Zetti, 1992
Player with most major trophies: 18 – Rogério Ceni
Youngest player in 20th century: 15 years, 311 days – Zizinho, 15 April 1978, vs. Guaxupé
Youngest player in 21st century: 16 years, 170 days – Leandro Alves, 27 March 2003, 1–1 vs. Al-Ittihad Tripoli
Oldest player: 42 years, 276 days – Rogério Ceni, 28 October 2015, 1–3 vs. Santos
The first line-up: Nestor, Clodô, Barthô, Boock, Zito, Alves, Luisinho, Milton, Friedenreich, Seixas, Zuanella.
Goals scored
Following is the list of the players with most goals scored for São Paulo:
Most goals scored in Copa Libertadores: 14 – Luis Fabiano, Rogério Ceni
Most goals scored in Campeonato Brasileiro Série A: 108 – Luis Fabiano
Most goals scored in Copa do Brasil: 24 – Luis Fabiano
Most goals scored in Campeonato Paulista: 142 – Gino Orlando
Most goals scored in 20th century: 242 – Serginho Chulapa
Most goals scored in 21st century: 212 – Luis Fabiano
Most goals scored in a single season: 54 – Dodô, 1997
Most goals scored in a single match: 6 – Antonio Sastre, 14 August 1943, 9–0 vs. Portuguesa Santista
Most hat-tricks scored: 13 – França
Most consecutive goals: 28 goals in 11 matches – Waldemar de Brito
Most times finished as a top scorer: 6 – Luis Fabiano
Most times finished a season as the club top scorer: 7 – Serginho Chulapa
Best goals scored/matches ratio: 1.08 – Waldemar de Brito, 85 goals scored in 78 matches
First goal scored: Barthô – 23 March 1930, 6–1 vs. Juventus (SP)
First goal scored at Estádio do Morumbi: Peixinho – 2 October 1960, 1–0 vs. Sporting CP
Fastest goal scored: 10 seconds – Zé Roberto, 26 February 1969, 4–1 vs. São Bento
Latest goal in regular time: 90+9 minute – Nathan, 22 July 2023, 1–2 vs. Cuiabá
Youngest goalscorer in overall: 15 years, 311 days – Zizinho, 15 April 1978, vs. Guaxupé
Youngest goalscorer in a professional match: 16 years, 172 days – Armando José , 30 July 1939, 1–0 vs. Portuguesa Santista
Oldest goalscorer: 42 years, 214 days – Rogério Ceni, 26 August 2015, 3–0 vs. Ceará
Most goals scored
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https://en.wikipedia.org/wiki/Jacques%20Buot
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Jacques Bu[h]ot (before 1623 – January 1678) was a French mathematician, engineer, physicist, and astronomer. He worked on the constructions of forts and compiled a mathematics textbook apart from being one of the first seven mathematician members of the Royal Academy of Sciences.
Buot was born in L’Aigle, Orne, and nothing is known of his early life. He worked as a gunsmith early in life. He then worked in Paris as an engineer in the forts along with Pierre Petit and Jean Ballesdens. While in Paris he wrote on the use of proportional wheels in 1647, published by Melchoir Mondière. He was then appointed ordinary royal engineer from around 1648. He made observations on the solar eclipse of 8 April 1652 along with Jacques-Alexandre le Tenneur and Adrien Auzout. He made a chart of sky for the King which includes the 1665 comet that he observed along with Adrien Auzout. He constructed a sundial in the royal library as well as at the castle of Saint-Germain-en-Laye. In 1666 he was among the first seven mathematicians included in the Royal Academy of Sciences. He examined the inclination of Saturn's rings in 1667. Along with Cassini and other he observed the great red spot on Jupiter and determined the period of Jupiter's rotation as 9 hours and 56 minutes. He devised an azimuthal square that would help identify the longitude without the need for measurements at noon which was later constructed along with Claude Antoine Couplet who also married Buot's step daughter Marie Baillot.
He married Simone Rousseau on November 11, 1655. He is thought to have died around January 1678 since Philippe de la Hire was appointed as his substitute at the Academy.
References
External links
Buot's introduction to mathematics
1600s births
1678 deaths
People from L'Aigle
French astronomers
Members of the French Academy of Sciences
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https://en.wikipedia.org/wiki/Legnano%20Frogs
|
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The Legnano Frogs established in 1977, are an American football team from the city of Legnano, in the Metropolitan City of Milan, in Lombardy, Italy. It has black and silver as its social colors, while it has a frog as a symbol, hence the name of the team.
In 2023, The Frogs will be back playing at the top level of the Italian Football League IFL.
Among the most successful American football teams in Italy, they were European Football League champions in 1989 (with two participations in the Eurobowl final), won six Italian Football League titles (with 11 participations in the Italian Bowl) and a Coppa Italia Bowl (1993). The youth team has won two Youngbowls (1991, 1992).
History
The team was founded by a group of boys from Gallarate in 1977. They decided to practice this sport after seeing it while vacationing in the United States.
The founders organized three small teams, with reference to as many bars in the area. From the spring of 1978 one of these teams, called Frogs (in reference to the 1972 horror film Frogs) from the Bianchi bar, who had gone there for work, began training with the Pink Panthers of Piacenza.
In Piacenza there were several players from the NATO base who taught the children the fundamentals of the sport. From the Pink Panthers, the Rhinos Milano was formed, one of the most important Italian football teams.
From 1978 to 1980, the Frogs played many friendlies, also participating in tournaments organized in NATO bases. Among the games played there was the first official match played between Italian American football teams in preparation for the first championship officially recognized by the federation; played on 24 June 1978 at the Stadio Carlo Speroni in Busto Arsizio, it was won 36–0 by the Rhinos Milano over the Gallarate Frogs.
In 1981, the first official championship was organized by the Italian American Football Association, consisting of five teams: the Frogs, the Rhinos Milano, the Jaguars Turin, the Rams Milano and the Eagles Ferrara. In 1984 the team moved to Busto Arsizio and changed its name to Busto Arsizio Frogs. In 1984 the Frogs beat an American team for the first time, the Derby Rangers of the NATO Naval Air Station in Tirrenia, 7–0.
In 1987 the Frogs were close to being absorbed by the Milano Seamen. However, it was decided by president Ulrico Lucarelli to move the team to Legnano and merge with the local Legnano Vikings instead. On this occasion the team changed its name to Legnano Frogs.
In 2001 the team moved to Milan and changed its name to Milano Frogs, while in 2002 they merged with the Kings Gallarate, moving the headquarters to Gallarate and changing its name to Gallarate Frogs. In 2003 the team returned to Legnano and changed its name back to Legnan
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https://en.wikipedia.org/wiki/Eyeball%20theorem
|
The eyeball theorem is a statement in elementary geometry about a property of a pair of disjoined circles.
More precisely it states the following:
For two nonintersecting circles and centered at and the tangents from P onto intersect at and and the tangents from Q onto intersect at and . Then .
The eyeball theorem was discovered in 1960 by the Peruvian mathematician Antonio Gutierrez.
References
Further reading
Antonio Gutierrez: Eyeball theorems. In: Chris Pritchard (ed.): The Changing Shape of Geometry. Celebrating a Century of Geometry and Geometry Teaching''. Cambridge University Press, 2003, ISBN 9780521531627, pp. 274–280
External links
The Eyeball Theorem at cut-the-knot.org (contains a variety of proofs)
Eyeball Theorem at Geometry from the Land of the Incas
Theorems about circles
Euclidean geometry
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https://en.wikipedia.org/wiki/John%20M.%20Pickering
|
John Michael Pickering (3 August 1934 – 7 July 2016) was a twentieth-century British sculptor who pioneered the use of mathematics in British art.
Early life and training
John Pickering was born in Wolverhampton, England, one of three children of Midlands-born couple Alice Marston and Arthur Pickering Sr. A lifelong resident of the Midlands, Pickering trained in classical sculpture and life drawing at Bilston and Birmingham School of Art. After graduating in 1955, he worked as a stone carver on various local sites, including St Philip's Cathedral, Birmingham Birmingham, and the fifteenth-century Collegiate Church of St Mary, Warwick . In 1964, the young artist got hold of David Hilbert's and Stefan Cohn-Vossen's book Geometry and the Imagination, and began the lifelong study of applied mathematics which inspired his art.
The inversion principle
After an early onset of severe Rheumatoid arthritis limited his ability to carve stone, the classically trained artist turned to figurative life drawing. From the 1970s onwards, he embraced abstract art and began exploring the sculptural potential of inversive geometry. From then on, he made art exclusively with the inversion principle, a mathematical transformation involving the reflection of geometric shapes (cones, cylinders, and spheres) about a circle. For Pickering, the rigour and technical demands of geometry were no hindrance to artistic expression: The inversion principle (...), he said , is not the rigid system one might suppose, as it allows the artist imaginative choices and flexibility, enabling personality to be imposed as part of the process. Logic is nothing to be afraid of when applied to art; it is simply part of human thought, spatial relations, balance and the laws of nature. The numerous sculptures he made with the inversion principle constitute a rare example of analytic geometry applied to art.
Collaborations
During the final years of his career, John Pickering took a great interest in computational design and initiated several artistic collaborations with other technically minded creatives, such as Foster and Partners' Specialist Modelling Group, and IJP Architects Principal George L. Legendre. Pickering and Legendre collaborated on the artist's final four pieces, Spherical Inversion I (Inverting intersecting spheres whose centres lie on the axis of a cylinder, with respect to a point not lying on any of the spheres 2007). Inverse Cylinder II (Inverting a cylinder, the centre of inversion not lying on the cylinder, also connecting ellipses by projection 2008), F01B (2010), and Equinox at 103 Colmore Row, Birmingham. Equinox was installed in late 2021 and remains the sculptor's only large-scale public artwork.
Work and legacy
John Pickering toiled in relative obscurity throughout his career, while enjoying the support of professionals and academics, such as Mohsen Mostafavi of the Architectural Association School of Architecture who organized a solo exhibition of Pickering
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https://en.wikipedia.org/wiki/Fernando%20Gonz%C3%A1lez%20%28footballer%2C%20born%202001%29
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Fernando González Peña (born 26 April 2001) is a Mexican professional footballer who plays as a midfielder for Liga MX club UANL.
Career statistics
Club
References
External links
Living people
2001 births
Men's association football midfielders
Liga MX players
Tigres UANL footballers
Footballers from Morelos
Sportspeople from Cuernavaca
Mexican men's footballers
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https://en.wikipedia.org/wiki/Enrique%20G%C3%B3mez%20%28footballer%29
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Enrique Gómez Iturbe (born 24 January 2004) is a Mexican professional footballer who plays as a midfielder for Liga MX club Toluca.
Career statistics
Club
References
External links
Living people
2004 births
Men's association football midfielders
Deportivo Toluca F.C. players
Liga MX players
Footballers from the State of Mexico
Mexican men's footballers
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https://en.wikipedia.org/wiki/Marja%20Holecyov%C3%A1
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Marja Holecyová (born Mária Holecyová 28 August 1988) is a Slovak mathematician and fantasy writer.
Education
Holecyová was born in Nitra. She studied Mathematics at the Comenius University. Her PhD thesis Maximum Principle for Infinite Horizon Discrete Time Optimal Control Problems was supervised by professor Pavel Brunovský and defended in 2016.
Writing
Holecyová started writing Harry Potter fan fiction as a 16 years old under the pseudonym Marja Holecyová. Encouraged by the popularity of her writing she send a manuscript of her own fantasy story set in Slovakia and based on local mythology Mariotovi dediči (Heirs of Mariot) to the Slovak branch of Czech fantasy and sci-fi published Fragment at the age of 20. The success of the book resulted in three sequels published over the course of 2010 and 2011. In 2016, she published a historical fantasy novel set in the 16th century Kingdom of Hungary called Korene Hriechu (Roots of sin)
References
Living people
1988 births
People from Nitra
Slovak fantasy writers
Slovak women novelists
Comenius University alumni
21st-century Slovak women writers
Slovak women scientists
Slovak mathematicians
21st-century women mathematicians
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https://en.wikipedia.org/wiki/Hocine%20Cherhabil
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Hocine Cherhabil (born 24 February 1953) is the Algerian Minister of Digitization and Statistics. He was appointed as minister on 9 September 2022.
Education
Cherhabil holds a Diploma in Political Science (1975) from the University of Algiers, a Diploma in Human Resources Management Techniques (1993) from the International Institute of Public Administration, a Doctorate in Social Sciences (1982) from the École des hautes études des sciences sociales de Paris and a Doctorate in Political Science and International Relations (2009) from the University of Algiers.
References
1953 births
Living people
21st-century Algerian politicians
Algerian politicians
Government ministers of Algeria
University of Algiers alumni
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https://en.wikipedia.org/wiki/Karim%20Bibi%20Triki
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Karim Bibi Triki (born 16 August 1968) is the Algerian Minister of Post and Telecommunications. He was appointed as minister on 8 July 2021.
Education
Triki holds a Bachelor of Mathematics (1986) from the Lycée Colonel Lotfi and a Master in Electronics (1991) from the University of Science and Technology.
Career
From 1994 until 1996, Triki was a Reserve Second Lieutenant in the Algerian Air Force.
Between 1992 and 2009, he worked for ALFATRON Electronic Industries. He was the Development Engineer from 1992 until 1996. In 1997, he was appointed Director of Engineering and Development. In 1999, Triki became Deputy General Manager. From 2001 until 2009, he was the Chairman and CEO of ALFATRON.
From 2009 until 2020, Triki held several positions at Intel Corporation, including Business Development Manager, Country Manager for North Africa and Country Lead of Intel.
Between 2020 and 2021, he served as the Chairman and CEO at Groupe Télécom Algérie.
Since 7 July 2021, Triki has been the Minister of Post and Telecommunications.
References
1968 births
Living people
21st-century Algerian politicians
Algerian politicians
Government ministers of Algeria
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https://en.wikipedia.org/wiki/Jos%20Baeten
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Josephus C.M. Baeten (born 15 June 1954) is a Dutch computer scientist and mathematician, who has published on process calculus, concurrency theory, formal methods, model-based software engineering, model-based systems engineering and theory of computation.
Early life and education
Jos Baeten was born in Tilburg. He received his Ph.D. from the University of Minnesota in 1985, advised by Wayne Richter.
Career
He was a researcher at Centrum Wiskunde & Informatica (CWI) and the University of Amsterdam until 1991, when he was appointed as a full professor at the Eindhoven University of Technology. There, he was professor at the Department of Mathematics and Computer Science from 1991 until 2015 (in two periods, he was dean of the department), and professor at the Department of Mechanical Engineering from 2010 until 2012. In 2011, he returned to CWI as its director, and in 2015, he returned to the University of Amsterdam as professor of theory of computing at the Institute of Logic, Language and Computation. He retired from both positions in 2020, and at that time became a CWI Fellow.
Baeten chaired the steering committee of the CONCUR conferences 1991-2018 and was president of ERCIM 2018-2019. Since 2010, he is a member of the Koninklijke Hollandsche Maatschappij der Wetenschappen.
During the 75th anniversary of CWI, he received a royal decoration of Officer in the Order of Orange-Nassau.
References
Dutch computer scientists
Dutch mathematicians
University of Minnesota alumni
People from Tilburg
1954 births
Living people
Academic staff of the Eindhoven University of Technology
Officers of the Order of Orange-Nassau
Members of the Koninklijke Hollandsche Maatschappij der Wetenschappen
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https://en.wikipedia.org/wiki/Disciplinary%20literacy
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In the United States, disciplinary literacy is the teaching of literacy within the defined disciplines of mathematics, science, English-language arts, and social studies. This process is defined as "the use of reading, rereading, investigating, speaking, and writing required to learn and form complex content knowledge appropriate to a particular discipline". Through the practices of disciplinary literacy, educators are to present content using real-world examples and connections, and do so in such a way as to accurately incorporate and exemplify the everyday lives of all students, regardless of race, gender, socioeconomic status, etc. As such, students are coached to become experts in each disciplinary field; that is, students are encouraged and expected to acquire and use skills, during reading, that professionals in each of the disciplines themselves are using. To note, disciplinary literacy does not demand reading skills be taught during instruction of various content areas, there is still some crossover, with the need to incorporate some reading skills, such as vocabulary instruction.
Disciplinary literacy is the result of the inception of the Common Core State Standards, Next Generation Science Standards, and 3C Framework for Social Studies. These standards promote the reading and writing of complex texts within the various disciplines.
Common misconception
The expression, "every teacher is a teacher of reading" is a commonly used phrase in the field of education; however, researchers are encouraging professionals to depart from this ideological practice. To clarify, disciplinary literacy is not the incorporation of reading-specific skills, such as, but not limited to, phonological instruction, phonemic awareness, etc., into non-reading classrooms, and, while teachers are often encouraged to serve as reading teachers, regardless of the discipline in which they teach, it is argued that this approach is ineffective. Educators, instead, practice fusing literacy and content instruction.
Inconsistencies in the practice
Educators are expected to incorporate socially just content with the intellectual aspect of teaching content. While its focus is on the inclusion of morals into the classroom, socially just content encompasses a multitude of lenses. In teaching socially just content, educators acquire culturally responsive curricula, understand and embrace the differing perspectives of the individuals in the classroom, make content valuable, and ensure learners understand the value in the content, all while maintaining the required learning targets. Educators face difficulty completing each of the aforementioned tasks, which negate or dismiss required content.
In education there is an ambiguity surrounding who gets to determine what is proper or just teaching. With the lack of clarity, teachers make these determinations independently, on a daily basis. With the uncertainty, teachers are left to the devices of hope and supposition, rather than
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https://en.wikipedia.org/wiki/Kelly%20McConville
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Kelly S. McConville is an American statistician and statistics educator whose research interests include survey methodology, the applications of environmental statistics to forestry, and the effects of voter identification laws. She is a senior lecturer in statistics at Harvard University.
Education and career
McConville majored in mathematics at St. Olaf College, graduating in 2006. She went to Colorado State University for graduate study in statistics, earning a master's degree there in 2008 and completing her Ph.D. in 2011. Her dissertation, Improved Estimation for Complex Surveys Using Modern Regression Techniques, was jointly supervised by Jay Breidt and Thomas C. M. Lee.
Prior to joining Harvard as a senior lecturer in 2021, she spent ten years teaching statistics in the mathematics departments of small liberal arts colleges, including Swarthmore College, Whitman College, and most recently, as an associate professor of statistics at Reed College.
She is the 2023 chair elect of the Section on Statistics and Data Science Education of the American Statistical Association.
Recognition
In 2022, McConville was elected as a Fellow of the American Statistical Association.
References
Year of birth missing (living people)
Living people
American statisticians
American women statisticians
Statistics educators
St. Olaf College alumni
Colorado State University alumni
Swarthmore College faculty
Whitman College faculty
Reed College faculty
Harvard University faculty
Fellows of the American Statistical Association
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https://en.wikipedia.org/wiki/Fermi%E2%80%93Dirac%20prime
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In number theory, a Fermi–Dirac prime is a prime power whose exponent is a power of two. These numbers are named from an analogy to Fermi–Dirac statistics in physics based on the fact that each integer has a unique representation as a product of Fermi–Dirac primes without repetition. Each element of the sequence of Fermi–Dirac primes is the smallest number that does not divide the product of all previous elements. Srinivasa Ramanujan used the Fermi–Dirac primes to find the smallest number whose number of divisors is a given power of two.
Definition
The Fermi–Dirac primes are a sequence of numbers obtained by raising a prime number to an exponent that is a power of two. That is, these are the numbers of the form where is a prime number and is a non-negative integer. These numbers form the sequence:
They can be obtained from the prime numbers by repeated squaring, and form the smallest set of numbers that includes all of the prime numbers and is closed under squaring.
Another way of defining this sequence is that each element is the smallest positive integer that does not divide the product of all of the previous elements of the sequence.
Factorization
Analogously to the way that every positive integer has a unique factorization, its representation as a product of prime numbers (with some of these numbers repeated), every positive integer also has a unique factorization as a product of Fermi–Dirac primes, with no repetitions allowed. For example,
The Fermi–Dirac primes are named from an analogy to particle physics. In physics, bosons are particles that obey Bose–Einstein statistics, in which it is allowed for multiple particles to be in the same state at the same time. Fermions are particles that obey Fermi–Dirac statistics, which only allow a single particle in each state. Similarly, for the usual prime numbers, multiple copies of the same prime number can appear in the same prime factorization, but factorizations into a product of Fermi–Dirac primes only allow each Fermi–Dirac prime to appear once within the product.
Other properties
The Fermi–Dirac primes can be used to find the smallest number that has exactly divisors, in the case that is a power of two, . In this case, as Srinivasa Ramanujan proved, the smallest number with divisors is the product of the smallest Fermi–Dirac primes. Its divisors are the numbers obtained by multiplying together any subset of these Fermi–Dirac primes. For instance, the smallest number with 1024 divisors is obtained by multiplying together the first ten Fermi–Dirac primes:
In the theory of infinitary divisors of Cohen, the Fermi–Dirac primes are exactly the numbers whose only infinitary divisors are 1 and the number itself.
References
Prime numbers
Integer sequences
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https://en.wikipedia.org/wiki/Robert%20D.%20Hough
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Robert D. Hough is an American born mathematician specializing in number theory, probability and discrete mathematics. He is an associate professor of mathematics at Stony Brook University.
Early life and education
Hough holds BS in Math, MS in CS and PhD in Math degrees from Stanford University. He completed his PhD under Kannan Soundararajan in 2012. Hough was a post-doctoral researcher at Cambridge University and Oxford University in the United Kingdom working with Ben Green from 2013 to 2015, and was a post-doctoral member of the Institute for Advanced Study, Princeton, New Jersey from 2015 to 2016.
Achievements
Hough won the Mathematical Association of America's David P. Robbins Prize at the Joint Math Meetings in 2017. The prize was given for finding the solution of a problem imposed by Paul Erdős.
In February 2020, Hough won the Sloan Research Fellowship. He has also won a Trustees Faculty Award from Stony Brook University.
Career
Since 2016 Hough has been on the faculty of Stony Brook University.
References
Year of birth missing (living people)
Place of birth missing (living people)
Living people
American mathematicians
21st-century American academics
21st-century mathematicians
Stony Brook University faculty
Stanford University alumni
Sloan Research Fellows
Cambridge mathematicians
Alumni of the University of Cambridge
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https://en.wikipedia.org/wiki/Assassination%20of%20Nikos%20Temponeras
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Nikos Temponeras (1954 – January 8, 1991) was a high school mathematics teacher, and a member of the left-wing Labour Antimilitaristic Front (EAM). Temponeras was murdered in Patras during the student protests of 1990–1991 by Giannis Kalampokas, a municipal councillor and president of the local New Democracy branch.
Background
In late 1990 and 1991, student demonstrations occurred throughout Greece in opposition to an education bill proposed by Minister of Education Vassilis Kontogiannopoulos of the conservative New Democracy government. Among other things the bill included disciplinary control of students' lives outside of school, enforcement of mandatory school uniforms and abolition of social (free food and accommodation) provisions to financially weak university students. A popular measure of demonstration was the occupation of schools and universities by the students.
Assassination
The murderer was a municipal councilor and the president of the local branch of Youth Organization of New Democracy (ONNED), Giannis Kalampokas. The murder occurred on January 8, 1991, when Kalampokas hit Temponeras in the head with an iron bar while ONNED was trying to recapture the school complex of 3rd and 7th Patras high schools (where Temponeras was a teacher) that was occupied by the students. In order to take control of the school, the members of ONNED, led by Kalampokas, made an attack with bats, iron bars and cement tiles against the occupiers of the school that were supported by many parents and teachers, including Temponeras.
Aftermath
The assassination, occurring in a period of fierce political confrontation, sparkled a wave of protests throughout Greece. During these protests another four people died in Athens, due to a fire caused by a tear gas agent thrown by the riot police. The day after the murder, the Minister of Education Kontogiannopoulos resigned and the most controversial articles of the bill were removed.
Kalampokas was tried and sentenced to life in prison for murder but later his sentence was reduced to 17 years and 3 months in prison and finally to 16 years and 9 months. He was released on February 2, 1998.
The school complex where the murder occurred was named after Nikos Temponeras.
References
1991 in Greece
1991 murders in Europe
January 1991 events in Europe
January 1991 crimes
Greek educators
Assassinations in Greece
History of Patras
Deaths from head injury
Protest-related deaths
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https://en.wikipedia.org/wiki/Jan%20Vondr%C3%A1k
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Jan Vondrák is a Czech applied mathematician and theoretical computer scientist. He is a professor of mathematics at Stanford University since 2015. He was a research staff member in the theory group at the IBM Almaden Research Center from 2009 to 2015.
Vondrák completed a bachelor's degree in physics (1995) and an M.S. (1999) and Ph.D. (2007) in computer science at Charles University under advisor Martin Loebl. He met mathematician Maryam Mirzakhani in 2004 in Boston. Vondrák completed a Ph.D. in applied mathematics in 2005 at Massachusetts Institute of Technology under advisor Michel Goemans. He was a postdoctoral researcher in the theory group at Microsoft Research from 2005 to 2006. From 2006 to 2009, Vondrák was a postdoctoral teaching fellow at Princeton University. He married Mirzakhani in 2008 on a mountain in New Hampshire. They moved to California in 2009. Their daughter Anahita was born 2011. Mirzakhani died of breast cancer in 2017.
References
Living people
Year of birth missing (living people)
Place of birth missing (living people)
21st-century Czech mathematicians
Czech computer scientists
Applied mathematicians
Theoretical computer scientists
Charles University alumni
Massachusetts Institute of Technology alumni
Stanford University faculty
Czech emigrants to the United States
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https://en.wikipedia.org/wiki/Plug-in%20electric%20vehicles%20in%20Russia
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, there were around 18,700 electric vehicles in Russia, equivalent to 0.04% of all cars in the country. , around 0.13% of new cars sold in Russia were electric.
Statistics
, the Volkswagen ID.4 was the best-selling electric car in Russia.
Government policy
In 2021, the federal government announced plans to subsidize 25% of the value of each purchase of a Russian-made electric car, with a maximum subsidy of .
Charging stations
, there were around 400 public charging stations in Russia.
Manufacturing
The first electric vehicle manufacturing plant in Russia, operated by Dongfeng Motor Corporation, opened in September 2022 in Lipetsk Oblast.
By federal subject
Moscow
, there were about 3,000 electric vehicles in Moscow.
References
Russia
Road transport in Russia
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https://en.wikipedia.org/wiki/Nieuw%20Archief%20voor%20Wiskunde
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The Nieuw Archief voor Wiskunde (English translated title: New Archive for Mathematics) is a quarterly Dutch peer-reviewed scientific journal of mathematics published by the Koninklijk Wiskundig Genootschap (Royal Mathematical Society) since 1875. The new version, the fifth series, started in 2000. The journal covers developments in mathematics in general and in Dutch mathematics in particular. It is abstracted and indexed in zbMATH Open.
History
The previous version, with the full title Nieuw Archief voor Wiskunde uitgegeven door het Wiskundig Genootschap had four series between 1875 up to 1999: Eerste reeks (First Series, 1875-1893, 20 volumes), Tweede reeks (Second series, 1895-1949, 23 volumes), Derde reeks (Third series, 1953-1982, 30 volumes), and Vierde reeks (Fourth series, 1983-1999, 17 volumes). Initially, the publishing company was Weytingh & Brave in Amsterdam.
Predecessor journal
In the years 1856-1874, the Wiskundig Genootschap (Mathematical Society) published three volumes of Archief, uitgegeven door het Wiskundig Genootschap with Weytingh & Brave in Amsterdam.
References
Mathematics journals
Quarterly journals
Dutch-language journals
Academic journals established in 1875
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https://en.wikipedia.org/wiki/NCAA%20Division%20I%20FBS%20total%20offense%20leaders
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The NCAA Division I FBS total offense leaders are career, single-season, and single-game leaders in total offense yards and touchdown responsibility. Both of these statistics are defined as the sum of passing and rushing yards or touchdowns, and do not include any receiving or returns stats. These lists are dominated by more recent players for several reasons:
Since 1955, seasons have increased from 10 games to 11 and then 12 games in length.
The NCAA didn't allow freshmen to play varsity football until 1972 (with the exception of the World War II years), allowing players to have four-year careers.
Bowl games only began counting toward single-season and career statistics in 2002. This affects players such as Ty Detmer, though the vast majority of players on this list played after 2002 anyway.
In recent decades, starting with the Southeastern Conference in 1992, FBS conferences have introduced their own championship games, which have always counted fully toward single-season and career statistics.
The NCAA ruled that the 2020 season, heavily disrupted by COVID-19, would not count against the athletic eligibility of any football player. This gave every player active in that season the opportunity for five years of eligibility instead of the normal four.
Only seasons in which a team was considered to be a part of the Football Bowl Subdivision are included in these lists. Players such as Taylor Heinicke and Chad Pennington played for teams who reclassified to the FBS during their careers, and only their stats from the FBS years are eligible for inclusion. All records are current as of the end of the 2022 season.
Total offense yards
The career leader in total offense yards is Houston's Case Keenum. Keenum was granted a fifth year of eligibility after being injured in Houston's third game in 2010 but he would still top the list by nearly 2,500 yards if 2010 were not included. The second player on the list, Hawaii's Timmy Chang, also had a fifth season after being granted a medical redshirt after being injured in 2001. Chang broke the record previously held by BYU's Ty Detmer, who is the only player in the top 30 whose entire college career was in the 20th century. Two other players in the top 30, Chang and Philip Rivers of NC State, played their first college seasons in 2000, which depending on definitions is part of either the 20th or 21st century.
The single-season leader in passing yards is Joe Burrow, who is the only player to ever top 6,000 yards of total offense in a single season. Burrow's yards came in 15 games, while second place Bailey Zappe's yards came in 14 games, and third place B. J. Symons's yards came in just 13 games. Symons held the single-season record for 16 years after breaking the record previously set by Houston's David Klingler in 1990.
The single-game record belongs to Patrick Mahomes, whose 819 yards came in a 2016 loss.
While these lists have many of the same players as the passing leaders list, the player with the
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https://en.wikipedia.org/wiki/Oper%20%28mathematics%29
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In mathematics, an Oper is a principal connection, or in more elementary terms a type of differential operator. They were first defined and used by Vladimir Drinfeld and Vladimir Sokolov to study how the KdV equation and related integrable PDEs correspond to algebraic structures known as Kac–Moody algebras. Their modern formulation is due to Drinfeld and Alexander Beilinson.
History
Opers were first defined, although not named, in a 1981 Russian paper by Drinfeld and Sokolov on Equations of Korteweg–de Vries type, and simple Lie algebras. They were later generalized by Drinfeld and Beilinson in 1993, later published as an e-print in 2005.
Formulation
Abstract
Let be a connected reductive group over the complex plane , with a distinguished Borel subgroup . Set , so that is the Cartan group.
Denote by and the corresponding Lie algebras. There is an open -orbit consisting of vectors stabilized by the radical such that all of their negative simple-root components are non-zero.
Let be a smooth curve.
A G-oper on is a triple where is a principal -bundle, is a connection on and is a -reduction of , such that the one-form takes values in .
Example
Fix the Riemann sphere. Working at the level of the algebras, fix , which can be identified with the space of traceless complex matrices. Since has only one (complex) dimension, a one-form has only one component, and so an -valued one form is locally described by a matrix of functions
where are allowed to be meromorphic functions.
Denote by the space of valued meromorphic functions together with an action by , meromorphic functions valued in the associated Lie group . The action is by a formal gauge transformation:
Then opers are defined in terms of a subspace of these connections. Denote by
the space of connections with . Denote by the subgroup of meromorphic functions valued in of the form
with meromorphic.
Then for it holds that . It therefore defines an action. The orbits of this action concretely characterize opers. However, generally this description only holds locally and not necessarily globally.
Gaudin model
Opers on have been used by Boris Feigin, Edward Frenkel and Nicolai Reshetikhin to characterize the spectrum of the Gaudin model.
Specifically, for a -Gaudin model, and defining as the Langlands dual algebra, there is a bijection between the spectrum of the Gaudin algebra generated by operators defined in the Gaudin model and an algebraic variety of opers.
References
Differential operators
Connection (mathematics)
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https://en.wikipedia.org/wiki/Hot%20form%20quench
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Hot Form Quench (HFQ®) is an industrial forming process for the production of deep drawn, precise and complex geometry ultra-high strength aluminium sheet components. It is a hot stamping process for certain grades of aluminium and has similarities to the press hardening of ultra-high strength steels. HFQ exploits viscoplasticity of aluminium at high temperatures to facilitate the production of lightweight structures, often replacing steel, composites, castings, extrusions or multiple cold formed pressings.
Hot Form Quench (HFQ) is a hot forming process for high strength aluminium sheet (typically) 2x, 6x and 7x series alloys, that was initially developed in the early 2000s by Professors Jianguo Lin and Trevor Dean at the University of Birmingham and then at Imperial College London, both in the UK.
Impression Technologies Limited (ITL), a materials technology company based in Coventry, UK, has exclusive commercialisation rights for HFQ, and has since developed its own additional know-how and rights in this domain. At the same time as the first HFQ applications were adopted in automotive applications (the Aston Martin DB11) in 2016, other organisations in the lightweighting ecosystem joined Impression Technologies on a Horizon 2020 programme called LoCoMaTech with an aim to take the HFQ Technology towards mass volume applications. ITL has since started licensing the HFQ Technology around the world to manufacturers supplying the automotive and aerospace sectors.
Process
Hot forming of aluminium alloys consists of four main steps performed on a custom-shaped sheet blank: solutionising, blank transfer, quenching and forming, and artificial aging. In the solutionising step, the blank is heated in a furnace to a temperature where the precipitates in the material dissolve. The solutionising ovens are most effective when designed with forced convection, which is a difference to those used for press hardened steel lines.
The pressing operation is carried out in a high speed hydraulic, servo-hydraulic or servo press in which the forming tool is cooled to create the necessary quenching to maintain the alloying elements in solid solution. The subsequent ageing process enables precipitation and increases the strength of the components to the required level, typically 300 to 500MPa yield, depending on the aluminium alloy used. Customised proprietary ageing processes have been developed to optimise corrosion performance and/or downstream joining properties
Following the HFQ process, parts can be in-die trimmed or laser trimmed as is typical for press hardened steel parts, dependant on production volume. It is usual for volumes below 10,000 parts per annum to be laser trimmed because of the high cost of the trim tooling; or for higher volumes if flexibility is required for future design changes, such as hole positioning.
Although a key benefit of the HFQ process is to enable the production of complex, deep drawn pressings in a single forming operation,
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https://en.wikipedia.org/wiki/%C3%81lvaro%20Carrillo%20%28footballer%29
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Álvaro Carrillo Alacid (born 6 April 2002) is a Spanish professional footballer who plays as a centre-back for Real Madrid Castilla.
Career statistics
Club
Honours
Real Madrid Juvenil A
UEFA Youth League: 2019–20
References
External links
Real Madrid profile
2002 births
Living people
Footballers from Murcia
Spanish men's footballers
Men's association football defenders
Real Madrid Castilla footballers
Segunda División B players
Primera Federación players
Spain men's youth international footballers
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https://en.wikipedia.org/wiki/Mario%20Mart%C3%ADn
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Mario Martín Rielves (born 5 March 2004) is a Spanish professional footballer who plays as a midfielder for Real Madrid Castilla.
Career statistics
Club
Honours
Real Madrid
FIFA Club World Cup: 2022
References
External links
Real Madrid profile
2004 births
Living people
Spanish men's footballers
Men's association football midfielders
Real Madrid Castilla footballers
Real Madrid CF players
Primera Federación players
Footballers from the Province of Toledo
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https://en.wikipedia.org/wiki/Lucas%20Alc%C3%A1zar
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Lucas Alcázar Moreno (born 11 July 2002) is a Spanish professional footballer who plays as a left-back for Betis Deportivo Balompié.
Career statistics
Club
Honours
Real Madrid Juvenil A
UEFA Youth League: 2019–20
References
External links
Real Madrid profile
2002 births
Living people
Footballers from the Community of Madrid
Spanish men's footballers
Men's association football defenders
Primera Federación players
Segunda Federación players
SCR Peña Deportiva players
Real Madrid Castilla footballers
CF Talavera de la Reina players
Betis Deportivo Balompié footballers
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https://en.wikipedia.org/wiki/HIV/AIDS%20in%20Uruguay
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The presence of HIV/AIDS in Uruguay is an ongoing health concern for the population of that South American nation.
Prevalence
According to Unaids statistics, there were 15,000 confirmed cases of the disease in Uruguay in 2021. Of those, 14,000 patients were over the age of 15. Among people older than 15 with HIV or the AIDS syndrome associated with the HIV disease, 8,600 patients were male and 5,800 female. 0.6 percent of Uruguay's population aged 15 to 49 were affected, with percentages of 0.7 for males and 0.5 for females in the same age category, respectively.
As in most of the Spanish-speaking world, HIV and AIDS are known as VIH and SIDA in Uruguay.
History
Initially, HIV/AIDS spread quickly in Uruguay: by August 1988, there were 422 confirmed HIV cases in the country, of which 73 had progressed to full-blown AIDS. Of the latter 73, 39 had been reported as deceased. 86.5% of the then-reported cases were males at that time.
According to the Uruguayan government, across social and economic levels, the percentages of people affected with HIV in Uruguay range between 1% and 5% of the population. Between 2016 and 2020, there were an average of 902 new cases reported per year. (info on Spanish-language PDF included on this link)
Government response
The Uruguayan government has designated July 29 as HIV/AIDS national day () in Uruguay to commemorate those who have passed away from the virus and disease and those suffering from them.
That particular date also commemorates the first time that the presence of HIV and AIDS were detected in Uruguay, when, on July 29, 1983, a person who had recently arrived in the country from the United States was diagnosed.
References
HIV/AIDS by country
HIV/AIDS in South America
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https://en.wikipedia.org/wiki/V%C3%A1clav%20%C5%A0imerka
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Václav Šimerka (20 December 1819 – 26 December 1887) was a Bohemian mathematician, priest, physicist, and philosopher. He wrote the first Czech text on calculus and is credited for discovering the first seven Carmichael numbers, from 561 to 8911, in 1885.
Biography
Šimerka was born on 20 December 1819 in Vysoké Veselí in Bohemia to a family of coopers of businessman Petr Šimerka and his wife Terezie. After attending school in Jičín, he studied in the University of Prague's Faculty of Philosophy from 1839 to 1841. There, he studied mathematics under Jakob Philipp Kulik and astronomy under and practical geometry under Adam Bittner and also obligatory teaching of religion, philosophy, mathematics, Latin philology, natural science, physics, moral philosophy and history. After graduating in Prague, Šimerka studied in the Theological Seminary in Hradec Králové. Šimerka was ordained on 25 July 1845 and then became a chaplain in Žlunice near Jičín. He only spent a short time being a chaplain in Žlunice as he gave up his appointment after disagreements with the pastor there. In 1852, after passing the mathematics teacher qualification exam, he went to Prague to study physics under F. A. Petřina. When he passed the physics qualification exam, he became a substitute teacher at the Piarist gymnasium in České Budějovice but did not attain a permanent appointment there. In 1862, Šimerka requested to return to spiritual administration and then was appointed became parish priest in Slatina nad Zdobnicí and then became a priest in Vraňany from 1866 until 1886. He died in Praskačka on 26 December 1887.
Work
In 1858, his work Die Perioden der quadratischen Zahlformen bei negativen Determinanten was published in the reports of the Vienna Academy of Sciences. The same journal published his article Lösungen zweier Arten von Gleichungen a year later. In 1862, the Royal Czech Society published Přispěvky k neurčité analytice, his contributions to indeterminate analytics. His Die rationalen Dreiecke which deals with the diophantine problem of rational triangles was published in the Archiv der Mathematik und Physik in 1869 and is one of Šimerka's known contributions to the theory of factoring.
Šimerka is known for Algebra, čili, počtářství obecné pro vyšší gymnasia, his textbook on algebra published in 1863. Considered as his most important work, his algebra textbook for middle schools was published in three editions. The book's appendix giving an introduction to differential and integral calculus was published separately in 1864 under the title Přídavek k algebra, intended for the more inquisitive students. It is considered the first Czech text on calculus. Šimerka's calculus text presented differential calculus without using the concepts of limits and continuity. His use of differentials is similar to the infinitesimal approach of 17th and 18th century mathematicians. The calculus text focused on explaining the basic knowledge and intuition to teach students to use
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https://en.wikipedia.org/wiki/Alex%20Murley
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Alex Murley (born 20 June 1999) is an English motorcycle racer. He formerly competed in the Superbike World Championship.
Murley is the 2014 and 2015 Kawasaki Junior Cup champion.
Career statistics
European Junior Cup
Races by year
(key) (Races in bold indicate pole position; races in italics indicate fastest lap)
Supersport 300 World Championship
Races by year
(key)
Supersport World Championship
Races by year
(key) (Races in bold indicate pole position; races in italics indicate fastest lap)
References
1999 births
Living people
Sportspeople from Solihull
English motorcycle racers
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https://en.wikipedia.org/wiki/Fuzzy%20differential%20equation
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Fuzzy differential equation are general concept of ordinary differential equation in mathematics defined as differential inclusion for non-uniform upper hemicontinuity convex set with compactness in fuzzy set.
for all .
First order fuzzy differential equation
A first order fuzzy differential equation with real constant or variable coefficients
where is a real continuous function and is a fuzzy continuous function
such that .
Application
It is useful for calculating Newton's law of cooling, compartmental models in epidemiology and multi-compartment model.
Linear systems of fuzzy differential equations
A system of equations of the form
where are real functions and are fuzzy functions
Fuzzy partial differential equations
A fuzzy differential equation with partial differential operator is
for all .
Fuzzy fractional differential equation
A fuzzy differential equation with fractional differential operator is
for all where is a rational number.
References
Fuzzy logic
Differential equations
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https://en.wikipedia.org/wiki/Paul%20ver%20Eecke
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Paul-Louis ver Eecke (23 February 1867 – 14 October 1959) was a Belgian mining engineer and historian of Greek mathematics. He produced influential French translations of the mathematical works of ancient Greece, including those of Archimedes, Pappus, and Theodosius.
Eecke was born in Menen where he received an early education in Greek and Latin. He completed his secondary studies at the Royal Athenaeum in Bruges before going to study at the mining school at Liege (1888-1891). He then worked in the mining industry. While serving as an engineer for the Fortis Powder Company Ltd at Herentals, Antwerp, he was nearly killed in an explosion. His family forced him to move out of such dangerous work and he then joined the Labor Administration in 1894, then a newly created department.
He became a principal inspector but during World War I, he was forced to take leave and he studied Greek mathematical works. This would later become his most influential work and included translations into French, incorporating modern mathematical notation, of the works of Apollonius of Perga (1924), Diophantus (1926), Theodosius (1927), Serenus of Antinoe (1929), Pappus of Alexandria (1933), Euclid (1938); and the works of Didymus, Diophanes, Anthemius, and [the palimpsests of] Bobbio (1940). He became an inspector general of labor in 1922 and retired in 1923.
Although worked largely in isolation, he collaborated with Johan Ludvig Heiberg. For his contribution, Eecke was made Commander of the Order of Leopold and of the Order of the Crown, and later Grand Officer of the Order of Leopold II, Officer of the Order of Orange-Nassau by the Belgian government. He was also decorated by the Greek and French governments.
References
External links
Biography in French (with portrait and list of publications)
1867 births
1959 deaths
Belgian mathematicians
Historians of mathematics
People from Menen
University of Liège alumni
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https://en.wikipedia.org/wiki/Michael%20D.%20Escobar
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Michael David Escobar is an American biostatistician who is known for Bayesian nonparametrics, mixture models.
Education and career
Escobar earned a degree in mathematics at Tufts University in 1981 followed by a doctorate in statistics at Yale University in 1988 under the supervision of John Hartigan. Between 1990 and 1994, he was an assistant professor at Carnegie Mellon University. Escobar subsequently joined the University of Toronto faculty. In 2015, he was elected a fellow of the American Statistical Association.
Bibliography
References
American statisticians
Yale University alumni
Year of birth missing (living people)
Tufts University School of Arts and Sciences alumni
Living people
Fellows of the American Statistical Association
Biostatisticians
Academic staff of the University of Toronto
Carnegie Mellon University faculty
American expatriates in Canada
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https://en.wikipedia.org/wiki/Miguel%20V%C3%A1zquez%20%28footballer%29
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Miguel Ángel Vázquez García (born 7 February 2004) is a Mexican professional footballer who plays as a centre-back for Liga MX club América.
Career statistics
Club
References
External links
Living people
2004 births
Mexican men's footballers
Men's association football defenders
Club América footballers
Liga MX players
Footballers from Querétaro
Sportspeople from Querétaro City
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https://en.wikipedia.org/wiki/Ruth%20Pfeiffer
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Ruth Maria Pfeiffer is a biostatistician who researches risk prediction, molecular and genetic epidemiology, and electronic medical records. She is a senior investigator in the biostatistics branch at the National Cancer Institute. Pfeiffer is an elected member of the International Statistical Institute and the American Statistical Association.
Life
Pfeiffer received an M.S. degree in applied mathematics from the TU Wien. She earned a M.A. in applied statistics and a Ph.D. (1998) in mathematical statistics from the University of Maryland, College Park. Her dissertation was titled, Statistical problems for stochastic processes with hysteresis. Mark Freidlin was Pfeiffer's doctoral advisor.
Pfeiffer is a tenured senior investigator in the biostatistics branch of the division of cancer epidemiology and genetics (DCEG), National Cancer Institute (NCI). Her research focuses on statistical methods for risk prediction, problems arising in molecular and genetic epidemiologic studies, and the analysis of data from electronic medical records. Pfeiffer is the recipient of a Fulbright Fellowship and an elected member of the International Statistical Institute. In 2013, she became an elected Fellow of the American Statistical Association.
Selected works
References
Living people
Place of birth missing (living people)
Year of birth missing (living people)
TU Wien alumni
University of Maryland, College Park alumni
National Institutes of Health people
Austrian statisticians
21st-century Austrian women scientists
21st-century American women scientists
American women statisticians
21st-century American mathematicians
Biostatisticians
Cancer researchers
American medical researchers
Austrian medical researchers
Women medical researchers
Austrian emigrants to the United States
Elected Members of the International Statistical Institute
Fellows of the American Statistical Association
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https://en.wikipedia.org/wiki/Ibragimov%E2%80%93Iosifescu%20conjecture%20for%20%CF%86-mixing%20sequences
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Ibragimov–Iosifescu conjecture for φ-mixing sequences in probability theory is the collective name for 2 closely related conjectures by Ildar Ibragimov and :ro:Marius Iosifescu.
Conjecture
Let be a strictly stationary -mixing sequence, for which and . Then is asymptotically normally distributed.
-mixing coefficients are defined as
,
where and are the -algebras generated by the (respectively ), and -mixing means that .
Reformulated:
Suppose is a strictly stationary sequence of random variables such that
and as (that is, such that it has finite second moments and as ).
Per Ibragimov, under these assumptions, if also is -mixing, then a central limit theorem holds. Per a closely related conjecture by Iosifescu, under the same hypothesis, a weak invariance principle holds. Both conjectures together formulated in similar terms:
Let be a strictly stationary, centered, -mixing sequence of random variables such that and . Then per Ibragimov , and per Iosifescu . Also, a related conjecture by Magda Peligrad states that under the same conditions and with , .
Sources
I.A. Ibragimov and Yu.V. Linnik, Independent and Stationary Sequences of Random Variables, Wolters-Noordhoff, Groningen, 1971, p. 393, problem 3.
M. Iosifescu, Limit theorems for ϕ-mixing sequences, a survey. In: Proceedings of the Fifth Conference on Probability Theory, Brașov, 1974, pp. 51-57. Publishing House of the Romanian Academy, Bucharest, 1977.
Conjectures
Probability theory
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https://en.wikipedia.org/wiki/Extrinsic%20Geometric%20Flows
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Extrinsic Geometric Flows is an advanced mathematics textbook that overviews geometric flows, mathematical problems in which a curve or surface moves continuously according to some rule. It focuses on extrinsic flows, in which the rule depends on the embedding of a surface into space, rather than intrinsic flows such as the Ricci flow that depend on the internal geometry of the surface and can be defined without respect to an embedding.
Extrinsic Geometric Flows was written by Ben Andrews, Bennett Chow, Christine Guenther, and Mat Langford, and published in 2020 as volume 206 of Graduate Studies in Mathematics, a book series of the American Mathematical Society.
Topics
The book consists of four chapters, roughly divided into four sections:
Chapters 1 through 4 concern the heat equation and the curve-shortening flow defined from it, in which a curve moves in the Euclidean plane, perpendicularly to itself, at a speed proportional to its curvature. It includes material on curves that remain self-similar as they flow, such as circles and the grim reaper curve , the Gage–Hamilton–Grayson theorem according to which every simple closed curve converges to a circle until eventually collapsing to a point, without ever self-intersecting, and the classification of ancient solutions of the flow.
Chapters 5 through 14 concern the mean curvature flow, a higher dimensional generalization of the curve-shortening flow that uses the mean curvature of a surface to control the speed of its perpendicular motion. After an introductory chapter on the geometry of hypersurfaces, It includes results of Ecker and Huisken concerning "locally Lipschitz entire graphs", and Huisken's theorem that uniformly convex surfaces remain smooth and convex, converging to a sphere, before they collapse to a point. Huisken's monotonicity formula is covered, as are the regularity theorems of Brakke and White according to which the flow is almost-everywhere smooth. Several chapters in this section concern the singularities that can develop in this flow, as well as the surfaces that remain self-similar as they flow.
Chapters 15 through 17 concern the Gauss curvature flow, a different way of generalizing the curve-shortening flow to higher dimensions using Gaussian curvature in place of mean curvature. Although Gaussian curvature is intrinsic, unlike mean curvature, the Gauss curvature flow is extrinsic, because it involves the motion of an embedded surface. Here, variations of the flow involve using a power of the curvature, rather than the curvature itself, to define the speed of the flow, and this raises questions concerning the existence of the flow over finite time intervals, the existence of self-similar solutions, and limiting shapes. The exponent of the curvature is critical here, with convex surfaces converging to an ellipsoid at exponent (generizing the affine curve-shortening flow) and to a round sphere for larger exponents.
Chapters 18-20 provide a broader panorama of nonlinear
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https://en.wikipedia.org/wiki/Economy%20of%20Cebu
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The economy of the Province of Cebu is the 2nd largest in the Philippines according to the Philippine Statistics Authority. In 2021, the Cebuano's combined economy peaked at P869.9 billion, making it the 2nd largest in the nation next to Laguna P922.3.
According to COA, Cebu has been currently reigning as one of the most populous province and the most richest province in the region for 8 consecutive times.
Ceboom
"Ceboom" is a combination of the term Cebu and boom. It is primarily described the province's rapid economical development in 1990. Before the event of Ceboom, Cebu was primarily crossed by Typhoon Mike. It damaged thousands of houses in Cordova and leaving ships sinking. After the incident, renovation and construction were started and two major shopping companies opened in Cebu, ShoeMart or SM (now as SMPH) and Ayala opened that period. More projects were proposed and the Marcelo Fernan Bridge was constructed then after.
References
Cebu
Cebu
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https://en.wikipedia.org/wiki/Error%20Carried%20Forward
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Error Carried Forward (ECF) is an informal principle for grading employed within computational fields of study such as mathematics, physics, engineering and computer science. In questions with multiple parts, it is common that the answer to the current part builds on an answer to the previous part. As such, if the answer to any part is incorrect, all subsequent parts will be incorrect, even if the approach for said subsequent parts was correct. The purpose of Error Carried Forward is to protect students who run into this issue from being penalized not only for the initial error, but for all subsequent errors that are only incorrect in answer, not approach.
Usage
ECF has been a long standing topic within schools and standardized testing. Newcastle University's School of Mathematics, Statistics and Physics (NUMBAS) did not initially offer Error Carried Forwards points, but in 2015, NUMBAS developer Christian Lawson-Perfect proposed a system of adaptive marking enabled by the replacement of question variables with the student’s answers to question parts. Lawson-Perfect's approach is to represent each part of a question as a function of the answer to the previous part. That is, if a student answer's "x" for part a, the correct answer to part b is "f(x)." No matter what the student puts for part a, the corresponding answer for part b can be calculated quickly. Lawson-Perfect discloses that this system cannot identify "why" a student made an error, but maintains that it is generally successful in providing fair ECF credit.
The college board has been known to employ ECF in both the AP Calculus AB and AP Physics B exams. However, the college board does not award ECF marks if an incorrect answer changes the latter parts of question too drastically. The Association of Chartered Certified Accountants (ACCA) has also been known to employ ECF on the financial accounting exam. However, this only applied to written, or fill-in-the-blank questions, not the multiple choice ones.
In 2022, Forrest et al conducted a study of a prototype computer application to incorporate ECF into automated grading of online assessments. This application employs the model-view-controller (MVC) design, which includes a data structure to represent the exam questions, a graphical user interface (GUI) for inputting student answers, and a set of algorithms written in JavaScript to process input and output. However, this application is a work in progress, as it cannot handle rounding errors. The study was published in the 2022 Advances in Science and Engineering Technology International Conferences (ASET), highlighting the prevalence of ECF today.
References
School examinations
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https://en.wikipedia.org/wiki/North%20Korean%20census
|
North Korean census may refer to:
1993 North Korean census
2008 North Korean census
2018 North Korean census
See also
Central Bureau of Statistics (North Korea)
|
https://en.wikipedia.org/wiki/List%20of%20North%20West%20Sydney%20Spirit%20FC%20records%20and%20statistics
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North West Sydney Spirit Football Club is an Australian professional association football club based in Sydney. The club was formed and admitted into the National Soccer League in 1998.
The list encompasses the records set by the club, their managers and their players. The player records section itemises the club's leading goalscorers and those who have made most appearances in first-team competitions. It also records notable achievements by North West Sydney Spirit players on the international stage. Attendance records in Sydney are also included.
The club's record appearance maker is Paul Henderson, who made 133 appearances between 1998 and 2004. Ben Burgess is North West Sydney Spirit's record goalscorer, scoring 16 goals in total.
Player records
Appearances
Most appearances
Competitive matches only, includes appearances as substitute. Numbers in brackets indicate goals scored.
Goalscorers
Most goals in a season: Ben Burgess, 16 goals (in the 2000–01 season)
Top goalscorers
Ben Burgess is the top goalscorer for North West Sydney Spirit.
Competitive matches only. Numbers in brackets indicate appearances made.
International
This section refers only to caps won while a North West Sydney Spirit player.
First capped player: Luke Casserly, for Australia against Chile on 9 February 2000
Most capped player: Luke Casserly with 4 caps
Club records
Matches
First National Soccer League match: Northern Spirit 0–2 Sydney Olympic, National Soccer League, 9 October 1998
Record win:
4–0 against Marconi Fairfield, National Soccer League, 15 January 1999
4–0 against Sydney Olympic, National Soccer League, 4 October 2003
Record defeat: 0–6 against Adelaide Force, National Soccer League, 25 May 2003
Record consecutive wins: 3
from 25 October 1998 to 6 November 1998
from 15 January 1999 to 26 January 1999
from 4 February 2003 to 16 February 2003
from 26 October 2003 to 8 November 2003
Record consecutive defeats: 6, from 14 April 2000 to 15 October 2000
Record consecutive draws: 3, from 3 December 2000 to 17 December 2000
Record consecutive matches without a defeat: 6, from 27 December 1998 to 26 January 1999
Record consecutive matches without a win: 10, from 27 February 2001 to 29 April 2001
Goals
Most league goals scored in a season: 72 in 26 matches, NSW Division One, 2007
Fewest league goals scored in a season: 26 in 10 matches, National Premier Leagues NSW 2, 2020
Most league goals conceded in a season: 58 in 34 matches, National Soccer League, 1999–2000
Fewest league goals conceded in a season: 16 in 22 matches, National Soccer League, 2015
Points
Most points in a season: 58 in 26 matches, NSW Division One, 2007
Fewest points in a season: 22
in 22 matches, NSW Super League, 2012
in 10 matches, National Premier Leagues NSW 2, 2020
Attendances
Highest attendance: 18,985, against Sydney Olympic, National Soccer League, 9 October 1998
Lowest attendance: 1,004, against Melbourne Knights, National Soccer League, 29 November
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https://en.wikipedia.org/wiki/Sergey%20Kislitsyn
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Sergey S. Kislitsyn, () is a Russian mathematician, specializing in combinatorics and coding theory.
Kislitsyn was born January 5, 1935, in Ivanovo, Soviet Union. He received his M.S. in mathematics from Leningrad State University in 1957. From 1962 until 1970 he worked at Yekaterinburg branch of the Steklov Institute of Mathematics (). He defended his Ph.D. thesis in 1964 and continued working as a lecturer at Krasnoyarsk State University.
Kislitsyn is known for posing the 1/3–2/3 conjecture for linear extensions of finite posets, which he published in 1968. The conjecture is established in several special cases but open in full generality.
References
1935 births
20th-century Russian mathematicians
Saint Petersburg State University alumni
Academic staff of the Steklov Institute of Mathematics
Academic staff of Ural State University
Scientists from Yekaterinburg
Living people
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https://en.wikipedia.org/wiki/Hunter%20Snevily
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Hunter Snevily (1956–2013) was an American mathematician with expertise and contributions in Set theory, Graph theory, Discrete geometry, and Ramsey theory on the integers.
Education and career
Hunter received his undergraduate degree from Emory University in 1981, and his Ph.D. degree from the University of Illinois Urbana-Champaign under the supervision of Douglas West in 1991. After a postdoctoral fellowship at Caltech, where he mentored many students, Hunter took a faculty position at the University of Idaho in 1993 where he was a professor until 2010. He retired early while fighting with Parkinsons, but continued research in mathematics till his last days.
Mathematics research
The following are some of Hunter's most important contributions (as discussed in ):
Hunter formulated a conjecture (1991) bounding the size of a family of sets under intersection constraints. He conjectured that if is a set of positive integers and is a family of subsets of an -set satisfying whenever , then . His conjecture was ambitious in a way it would beautifully unify classical results of Nicolaas Govert de Bruijn and Paul Erdős (1948), Bose (1949), Majumdar (1953), H. J. Ryser (1968), Frankl and Füredi (1981), and Frankl and Wilson (1981). Hunter finally proved his conjecture in 2003
Hunter made important contribution to the well known Chvátal's Conjecture (1974) which states that every hereditary family of sets has a largest intersecting subfamily consisting of sets with a common element. Schönheim proved this when the maximal members of have a common element. Vašek Chvátal proved it when there is a linear order on the elements such that implies when for . A family has as a dominant element if substituting for any element of a member of not containing yields another member of . Hunter's 1992 result greatly strengthened both Schönheim's result and Chvátal's result by proving the conjecture for all families having a dominant element; it was major progress on the problem.
One of his most cited papers is with Lior Pachter and Bill Voxman on Graph pebbling. This paper and Hunter's later paper with Foster added several conjectures on the subject and together have been cited in more than 50 papers.
Hunter made important contributions on the Snake-in-the-box problem and on the Graceful labeling of graphs.
One of Hunter's conjectures (1999) became known as Snevily's Conjecture: Given an abelian group of odd order, and subsets and of , there exists a permutation of such that are distinct. Noga Alon proved this for cyclic groups of prime order. Dasgupta et al. (2001). proved it for all cyclic groups. Finally, after a decade, the conjecture was proved for all groups by a young mathematician Arsovski. Terence Tao devoted a section to Snevily's Conjecture in his well-known book Additive Combinatorics.
Hunter collaborated the most with his long-term friend André Kézdy. After retirement, he became friends with Tanbir Ahmed and explored experimen
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https://en.wikipedia.org/wiki/Bachir%20Messaitfa
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Bachir Messaitfa is the Algerian Deputy Minister of Statistics and Forward Planning. He was appointed as deputy minister on 2 January 2020.
References
Living people
21st-century Algerian politicians
Algerian politicians
Government ministers of Algeria
Year of birth missing (living people)
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https://en.wikipedia.org/wiki/Helmut%20Alt
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Helmut Alt (born 1950) is a German computer scientist whose research concerns graph algorithms and computational geometry. He is known for his work on matching geometric shapes, including methods for efficiently computing the Fréchet distance between shapes. He was also the first to use the German phrase "Algorithmische Geometrie" [algorithmic geometry] to refer to computational geometry. He is a professor of computer science at the Free University of Berlin.
Education and career
Alt was born in 1950 in Wolfersweiler, a town in Saarland that later became incorporated into Nohfelden. He became a student of Kurt Mehlhorn at Saarland University, where he completed his Ph.D. in 1976 on algorithms for parsing context-free languages.
At the Free University of Berlin, he became the doctoral advisor of many successful students, including Otfried Cheong (1992), Johannes Blömer (1993), Christian Knauer (2002), Carola Wenk (2002), and Maike Buchin (2007).
Recognition
The Free University of Berlin held a symposium on 2015 in honor of Alt's 65th birthday. Another symposium in honor of Alt and Günter Rote was held in 2022 at the Free University of Berlin, in conjunction with the annual International Symposium on Computational Geometry. At the same International Symposium on Computational Geometry, Alt's work with Michael Godau on using Fréchet distance to measure the similarity of shapes (announced at the 1992 symposium and published in a 1995 journal paper) was given the SoCG Test of Time Award.
Selected publications
Edited volumes
Computational Discrete Mathematics: Advanced Lectures (Springer, LNCS 2122, 2001)
Efficient Algorithms: Essays Dedicated to Kurt Mehlhorn on the Occasion of His 60th Birthday (with Susanne Albers and Stefan Näher, Springer, LNCS 5760, 2009)
Algorithms Unplugged (with B. Vöcking, M. Dietzfelbinger, R. Reischuk, C. Scheideler, H. Vollmer, and D. Wagner, Springer, 2011)
Research articles
References
External links
1950 births
Living people
German computer scientists
Researchers in geometric algorithms
Saarland University alumni
Academic staff of the Free University of Berlin
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https://en.wikipedia.org/wiki/2021%20Rugby%20World%20Cup%20statistics
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This article documents statistics from the 2021 Rugby World Cup, held in New Zealand from 8 October to 12 November 2022.
As of: 5 November 2022
Team statistics
Individual statistics
Oldest player:
Iliseva Batibasaga: 37 years, 169 days.
Youngest player:
Sulila Waisega: 18 years, 204 days.
Most experienced player:
Iliseva Batibasaga: 16 years, 12 days since debut (debut: 31 August 2006)
Least experienced player:
Tania Naden: debut
Maya Stewart: debut
Marie Thibault: debut
Raijieli Daveua: debut
Siteri Rasolea: debut
Akanisi Sokoiwasa: debut
Iris Verebalavu: debut
Joanna Grisez: debut
Sofia Rolfi: debut
Erica Jarell: debut
Jett Hayward: debut
Most capped player:
Sarah Hunter: 137 caps.
Least capped player:
Tania Naden: 0 caps
Maya Stewart: 0 caps
Marie Thibault: 0 caps
Raijieli Daveua: 0 caps
Siteri Rasolea: 0 caps
Akanisi Sokoiwasa: 0 caps
Iris Verebalavu: 0 caps
Joanna Grisez: 0 caps
Sofia Rolfi: 0 caps
Erica Jarell: 0 caps
Jett Hayward: 0 caps
Tallest player:
Jenny Kronish:
Shortest player:
Megumi Abe: .
Try scorers
7 tries
Portia Woodman
6 tries
Emily Tuttosi
Amy Cokayne
Marlie Packer
5 tries
Ruby Tui
4 tries
Paige Farries
Abigail Dow
Claudia MacDonald
Connie Powell
Joanna Grisez
3 tries
Bienne Terita
Rosie Galligan
Marine Ménager
Theresa Fitzpatrick
Ayesha Leti-I'iga
2 tries
Brianna Miller
Mikiela Nelson
Karen Paquin
Alex Tessier
Poppy Cleall
Lydia Thompson
Abbie Ward
Émilie Boulard
Maëlle Filopon
Romane Ménager
Laure Sansus
Gabrielle Vernier
Maria Magatti
Aura Muzzo
Vittoria Ostuni Minuzzi
Sylvia Brunt
Luka Connor
Ruahei Demant
Stacey Fluhler
Renee Holmes
Sarah Hirini
Krystal Murray
Maia Roos
Amy Rule
Renee Wickliffe
Megan Gaffney
Lana Skeldon
Alev Kelter
Joanna Kitlinski
Sioned Harries
1 try
Iliseva Batibasaga
Emily Chancellor
Ivania Wong
Tyson Beukeboom
Alysha Corrigan
Olivia DeMerchant
McKinley Hunt
Sara Kaljuvee
Zoe Aldcroft
Shaunagh Brown
Sarah Hunter
Leanne Infante
Alex Matthews
Helena Rowland
Emily Scarratt
Lavena Cavuru
Ilisapeci Delaiwau
Sesenieli Donu
Karalaini Naisewa
Aloesi Nakoci
Pauline Bourdon
Annaëlle Deshayes
Célia Domain
Caroline Drouin
Madoussou Fall
Émeline Gros
Gaëlle Hermet
Mélissandre Llorens
Laure Touyé
Melissa Bettoni
Elisa Giordano
Megumi Abe
Komachi Imaguki
Kyoko Hosokawa
Hinano Nagura
Maki Takano
Alana Bremner
Chelsea Bremner
Liana Mikaele-Tu'u
Joanah Ngan-Woo
Georgia Ponsonby
Awhina Tangen-Wainohu
Aseza Hele
Nomawethu Mabenge
Zintle Mpupha
Elizabeth Cairns
Jennine Detiveaux
Jenny Kronish
Hallie Taufo'ou
Kate Zackary
Alisha Butchers
Ffion Lewis
Point scorers
Kicking accuracy
Hat-tricks
Discipline
In total, 3 red cards and 27 yellow cards have been issued during the tournament.
Yellow cards
2 yellow cards
Shannon Parry (1 vs New Zealand, 1 vs England)
Adiana Talakai (2 vs Scotland)
Roela Radiniyavuni (2 vs France)
Komachi Imaguki (1 vs United States, 1 vs Ita
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https://en.wikipedia.org/wiki/1968%20in%20American%20television
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This is a list of American television-related events in 1968.
Events
Other events and statistics in 1968
The last round-screen color TV sets were produced by all American manufacturers.
Television programs
Debuts
Ending this year
Television specials
Networks and services
Network launches
Television stations
Sign-ons
Network affiliation changes
Station closures
Births
Deaths
References
External links
List of 1968 American television series at IMDb
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https://en.wikipedia.org/wiki/Sum%20of%20two%20cubes
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In mathematics, the sum of two cubes is a cubed number added to another cubed number.
Factorization
Every sum of cubes may be factored according to the identity
in elementary algebra.
Binomial numbers are the general of this factorization to higher odd powers.
"SOAP" method
The mnemonic "SOAP", standing for "Same, Opposite, Always Positive", is sometimes used to memorize the correct placement of the addition and subtraction symbols while factorizing cubes. When applying this method to the factorization, "Same" represents the first term with the same sign as the original expression, "Opposite" represents the second term with the opposite sign as the original expression, and "Always Positive" represents the third term and is always positive.
{| cellspacing="4"
|- style="vertical-align:bottom;text-align:center;line-height:0.9;font-size:90%;"
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|-
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!
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!
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!
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!
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|-
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!
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!
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!
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!
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|}
Proof
Starting with the expression, is multiplied by a and b
By distributing a and b to , one get
and by canceling the alike terms, one get
Similarly for the difference of cubes,
Fermat's last theorem
Fermat's last theorem in the case of exponent 3 states that the sum of two non-zero integer cubes does not result in a non-zero integer cube. The first recorded proof of the exponent 3 case was given by Euler.
Taxicab and Cabtaxi numbers
Taxicab numbers are numbers that can be expressed as a sum of two positive integer cubes in n distinct ways. The smallest taxicab number, after Ta(1), is 1729, expressed as
or
The smallest taxicab number expressed in 3 different ways is 87,539,319, expressed as
, or
Cabtaxi numbers are numbers that can be expressed as a sum of two positive or negative integers or 0 cubes in n ways. The smallest cabtaxi number, after Cabtaxi(1), is 91, expressed as:
or
The smallest Cabtaxi number expressed in 3 different ways is 4104, expressed as
, or
See also
Difference of two squares
Binomial number
Sophie Germain's identity
Aurifeuillean factorization
References
Further reading
Algebra
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https://en.wikipedia.org/wiki/Elias%20Uddin%20Biswas
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Elias Uddin Biswas (born 15 December 1964) is a Bangladeshi educationalist. He is a professor at Mathematics Department at Shahjalal University of Science and Technology (SUST) and current vice-chancellor at North East University Bangladesh (NEUB). Before joining North East University Bangladesh he served as treasurer and acting vice-chancellor of SUST.
Early life
Elias Uddin Biswas was born on 16 December 1964 in Nabinagar village of Godagari Upazila, Rajshahi Division to father Toimur Rahman Biswas and mother Jumratun Nesa.
Education
Biswas obtained his BSc and MSc degree in mathematics from University of Rajshahi in 1985 and 1986 respectively. He later received his PhD degree in 1998 from the same university.
Career
Biswas joined Shahjalal University of Science and Technology as a lecturer in Mathematics Department in 1994. He was promoted to professor in 2007 and grade-1 professor in 2017.
In addition to teaching and research, he served as treasurer of Shahjalal University of Science and Technology for eight years in two terms. He also has the experience of serving as acting vice-chancellor for various terms while being treasurer. Besides, he has held various important responsibilities including head of Department of Mathematics, director of Student Counseling and Guidance Department, dean of Faculty of Physical Science, provost of residential hall. He also served as professor of mathematics and chairman of Department of Computer Science and Engineering at Jagannath University.
Biswas was appointed as the vice-chancellor of North East University Bangladesh located in Sylhet on January 11, 2021, and officially assumed the responsibility of the vice-chancellor of the university for the next four years on January 12.
Publications
Apart from teaching, Biswas is also involved in writing books. Some of his works include:
Niruddesh (নিরুদ্দেশ)
Gonit Utshober proshnottor (গণিত উৎসবের প্রশ্নোত্তর)
Vasashoinik theke rastonayok (ভাষাসৈনিক থেকে রাষ্ট্রনায়ক)
Vasa andolon, muktijuddho O Bangladesh (ভাষা আন্দোলন, মুক্তিযুদ্ধ ও বাংলাদেশ)
Affiliation
Biswas is also affiliated with several professional organizations. He served as the joint secretary of Bangladesh University Teachers Federation.
References
Bangladeshi educators
Bangladeshi academics
University of Rajshahi alumni
People from Rajshahi District
1964 births
Living people
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https://en.wikipedia.org/wiki/List%20of%20Bath%20City%20F.C.%20records%20and%20statistics
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Bath City Football Club is a semi-professional Football Club based in Bath, Somerset, England. The club is affiliated with the Somerset FA and currently competes in the National League South. Bath have played their home matches at Twerton Park since 1932. This list encompasses the major honours won by Bath City, records set by the club, and awards achieved by the players and managers.
The player records section includes details of the club's leading goalscorers and those who have made the most appearances in first-team competitions. The club's record appearance maker is Dave Mogg, who made 515 appearances between 1982 and 1997. Charlie Fleming is the club's record goalscorer, scoring 216 goals in all competitions.
Honours
Player records
Top 10 all-time appearances
Goalscorers
Most goals scored (in a season) – 51, Paul Randall (1989–90)
Most League goals scored (in a season) – 37, Charlie Fleming
Top 10 all-time scorers
Player of the Season and Golden Boot winners
The following table shows players who have been named the Supporters' Player of the Season and have received the Golden Boot award for scoring the most goals (all competitions) in a season. The table is in chronological order and begins from the 1984–85 season:
Transfers
For consistency, fees in the record transfer tables below are all sourced from BBC Sport's contemporary reports of each transfer.
Record transfer fees paid
Record transfer fees received
Managerial records
Manager with highest win% ratio: Malcolm Allison with 54% of games won from 1963 to 1964.
Longest serving manager by time: Ted Davis, from 22 June 1927 to 10 June 1937 and from 4 May 1939 to 3 June 1947 (17 years).
Most successful manager: Ted Davis, two Southern League western section titles, four Somerset Premier Cups and one Football League North.
Team records
Cup runs
Best FA Cup performance – Third Round (6 times):
vs Brentford (1931–32)
vs Norwich City (1934–35)
vs Brighton & Hove Albion (1959–60)
vs Bolton Wanderers (1963–64)
vs Mansfield Town (1987–88)
vs Stoke City (1993–94)
Best FA Trophy performance – Semi-finals
vs North Ferriby United (2014–15)
Points
Most points in a season:
Two points for a win: 67 in 42 matches, Southern League, 1959–60
Three points for a win: 91 in 42 matches, Southern League, 2007–08
Fewest points in a season:
Two points for a win: 26 in 42 matches, Southern League, 1971–72
Three points for a win: 31 in 46 matches, National League, 2011–12
League position
Highest League position:
4th in the Alliance Premier League (1984–85) (level 5)
Lowest League position:
6th in the Southern League, (2004–05) (level 7)
Goals
Most goals scored in a season: 116: 1959–60 Southern League
Fewest goals scored in a season: 18: 1934–35 Southern League
Most goals conceded in a season: 107: 1955–56 Southern League
Attendance
Record home attendance – 18,020 vs Brighton & Hove Albion, (FA Cup third round, 9 January 1960)
Record League attendanc
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https://en.wikipedia.org/wiki/Eugene%20A.%20Feinberg
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Eugene A. Feinberg is an American mathematician and distinguished professor of applied mathematics and statistics at Stony Brook University. He is noted for his work in probability theory, real analysis, and Markov decision processes.
Biography
Feinberg was born in Moscow, Russia in 1954. He received his masters degree in applied mathematics from the Russian University of Transport (MIIT). He completed his PhD thesis at Vilnius University in 1979 under Alexander Yushkevich and held research and faculty positions at the from 1976 to 1988. Feinberg immigrated to the United States in 1988, working as a visiting faculty member of Yale University's operations research group. In 1989, he joined Stony Brook University's faculty in the Applied Mathematics and Statistics department.
Research
Feinberg's research interests include applied probability and its applications to operations research, Markov decision processes, and industrial applications of operations research. His work includes the theory of MDPs and solutions to Kolmogorov's forward equations for jump Markov processes. He also contributed to real analysis by developing generalizations of Fatou's lemma and Berge's maximum theorem. Feinberg has also worked on applications including electric grid forecasting.
Selected writings
Handbook of Markov Decision Processes: Methods and Algorithms (with A. Shwartz, editors), Kluwer, Boston, 2002.
"Load Forecasting," (with D. Genethliou), Applied Mathematics for Restructured Electric Power Systems: Optimization, Control, and Computational Intelligence (J. H. Chow, F.F. Wu, and J.J. Momoh, eds.), Springer, pp. 269–285, 2005.
"Continuous Time Discounted Jump Markov Decision Processes: A Discrete-Event Approach,” Mathematics of Operations Research, 29, pp. 492–524, 2004.
"Constrained Discounted Dynamic Programming" (with A. Shwartz), Mathematics of Operations Research, 21, pp. 922-945, 1996.
"Constrained Semi-Markov Decision Processes with Average Rewards," ZOR - Mathematical Methods of Operations Research, 39, pp. 257-288, 1994.
"Average-Cost Markov Decision Processes with Weakly Continuous Transition Probabilities," (with P.O. Kasyanov and N.V. Zadoianchuk), Mathematics of Operations Research 37, pp.591-607, 2012.
"Constrained Discounted Markov Decision Processes and Hamiltonian Cycles" Mathematics of Operations Research, 25, pp. 130-140, 2000.
"Quickest Detection of Drift Change for Brownian Motion in Generalized Bayesian and Minimax Settings," (with A.N. Shiryaev), Statistics & Decisions, 24, 445-470, 2006.
"Constrained Markov Decision Models with Weighted Discounting" (with A. Shwartz), Mathematics of Operations Research, 20, pp. 302-320, 1995.
"Controlled Markov Processes with Arbitrary Numerical Criteria," SIAM Theory Probability Appl., 27, pp. 486-503, 1982.
"Markov Decision Models with Weighted Discounted Criteria" (with A. Shwartz), Mathematics of Operations Research, 19, pp. 152-168, 1994.
"Partially Observable Total-Cost Marko
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https://en.wikipedia.org/wiki/Ddbar%20lemma
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In complex geometry, the lemma (pronounced ddbar lemma) is a mathematical lemma about the de Rham cohomology class of a complex differential form. The -lemma is a result of Hodge theory and the Kähler identities on a compact Kähler manifold. Sometimes it is also known as the -lemma, due to the use of a related operator , with the relation between the two operators being and so .
Statement
The lemma asserts that if is a compact Kähler manifold and is a complex differential form of bidegree (p,q) (with ) whose class is zero in de Rham cohomology, then there exists a form of bidegree (p-1,q-1) such that
where and are the Dolbeault operators of the complex manifold .
ddbar potential
The form is called the -potential of . The inclusion of the factor ensures that is a real differential operator, that is if is a differential form with real coefficients, then so is .
This lemma should be compared to the notion of an exact differential form in de Rham cohomology. In particular if is a closed differential k-form (on any smooth manifold) whose class is zero in de Rham cohomology, then for some differential (k-1)-form called the -potential (or just potential) of , where is the exterior derivative. Indeed, since the Dolbeault operators sum to give the exterior derivative and square to give zero , the -lemma implies that , refining the -potential to the -potential in the setting of compact Kähler manifolds.
Proof
The -lemma is a consequence of Hodge theory applied to a compact Kähler manifold.
The Hodge theorem for an elliptic complex may be applied to any of the operators and respectively to their Laplace operators . To these operators one can define spaces of harmonic differential forms given by the kernels:
The Hodge decomposition theorem asserts that there are three orthogonal decompositions associated to these spaces of harmonic forms, given by
where are the formal adjoints of with respect to the Riemannian metric of the Kähler manifold, respectively. These decompositions hold separately on any compact complex manifold. The importance of the manifold being Kähler is that there is a relationship between the Laplacians of and hence of the orthogonal decompositions above. In particular on a compact Kähler manifold
which implies an orthogonal decomposition
where there are the further relations relating the spaces of and -harmonic forms.
As a result of the above decompositions, one can prove the following lemma.
The proof is as follows. Let be a closed (p,q)-form on a compact Kähler manifold . It follows quickly that (d) implies (a), (b), and (c). Moreover, the orthogonal decompositions above imply that any of (a), (b), or (c) imply (e). Therefore, the main difficulty is to show that (e) implies (d).
To that end, suppose that is orthogonal to the subspace . Then . Since is -closed and , it is also -closed (that is ). If where and is contained in then since this sum is from an orthogonal decomposition with respect to
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https://en.wikipedia.org/wiki/List%20of%20places%20in%20the%20Northern%20Territory%20by%20population
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The Northern Territory is a self governing territory of Australia. It has a population of 232,605 as of the 2021 Australian census and occupies an area of . Official population statistics are published by the Australian Bureau of Statistics, which conducts a census every five years. The most recent census for which data has been released is the 2021 census.
Urban centres and localities by population
SA1's are areas that subdivide all of Australia, and have a population between 200 and 800 people and an average population size of 400. Urban centres and localities are defined by the Australian Bureau of Statistics to be clusters of urban SA1's. Clusters with a population higher than 1,000 are considered urban centres and clusters with a population between 200 and 999 are considered localities.
Local government areas by population
The Northern Territory is divided into 17 local government areas plus several unincorporated areas.
See also
List of cities in Australia by population
List of places in New South Wales by population
List of places in Queensland by population
List of places in South Australia by population
List of places in Tasmania by population
List of places in Victoria by population
List of places in Western Australia by population
Notes
References
Lists of populated places in Australia
Northern Territory-related lists
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https://en.wikipedia.org/wiki/Roberts%27s%20triangle%20theorem
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Roberts's triangle theorem, a result in discrete geometry, states that every simple arrangement of lines has at least triangular faces. Thus, three lines form a triangle, four lines form at least two triangles, five lines form at least three triangles, etc. It is named after Samuel Roberts, a British mathematician who published it in 1889.
Statement and example
The theorem states that every simple arrangement of lines in the Euclidean plane has at least triangular faces. Here, an arrangement is simple when it has no two parallel lines and no three lines through the same point.
One way to form an arrangement of lines with exactly triangular faces is to choose the lines to be tangent to a semicircle. For lines arranged in this way, the only triangles are the ones formed by three lines with consecutive points of tangency. As the lines have consecutive triples, they also have triangles.
Proof
Branko Grünbaum found the proof in Roberts's original paper "unconvincing", and credits the first correct proof of Roberts's theorem to Robert W. Shannon, in 1979. He presents instead the following more elementary argument, first published in Russian by Alexei Belov. It depends implicitly on a simpler version of the same theorem, according to which every simple arrangement of three or more lines has at least one triangular face. This follows easily by induction from the fact that adding a line to an arrangement cannot decrease the number of triangular faces: if the line cuts an existing triangle, one of the resulting two pieces is again a triangle. On the other hand, although the bound of Roberts's theorem increases with each added line, the number of triangles in any particular arrangement may sometimes remain unchanged.
If the given lines are all moved without changing their slopes, their new positions can be described by a system of real numbers, the offsets of each line from its original position. For each triangular face, there is a linear equation on the offsets of its three lines that, if satisfied, causes the face to retain its original area. If there could be fewer than triangles, then (because there would be more variables than equations constraining them) it would be possible to fix two of the lines in place and find a simultaneous linear motion of all remaining lines, keeping their slopes fixed, that preserves all of the triangle areas. Such a motion must pass through arrangements that are not simple, for instance when one of the moving lines passes over the crossing point of the two fixed lines. At the time when the moving lines first form a non-simple arrangement, three or more lines meet at a point. Just before these lines meet, this subset of lines would have a triangular face (also present in the original arrangement) whose area approaches zero. But this contradicts the invariance of the face areas. The contradiction shows that the assumption that there are fewer than triangles cannot be true.
Related results
Whereas Roberts'
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https://en.wikipedia.org/wiki/Alojz%20Kodre
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Alojzij Franc 'Alojz' Kodre (born 22 February 1944 in Villach, Austria) is a Slovenian physicist and translator.
Kodre was a professor at the Faculty of Mathematics and Physics in Ljubljana, where he lectured Mathematical Physics and Model Analysis. In Mathematical Physics, he succeeded Ivan Kuščer, who was the first lecturer of this subject at the University of Ljubljana. Kodre researches atomic physics (inner shells), low-energy spectroscopy and excitation phenomena caused by synchrotron light. After he retired, he was bestowed with the title of an emeritus by the University.
He has translated a number of English and American science fiction works to Slovene:
Douglas Adams: The Hitchhiker's Guide to the Galaxy (1988), The Restaurant at the End of the Universe (1988), Life, the Universe and Everything (1989), So Long, and Thanks for All the Fish (2000), Mostly Harmless (1993), The Salmon of Doubt: Hitchhiking the Galaxy One Last Time (2002);
Ray Bradbury: The Martian Chronicles (1980);
Robert Anson Heinlein: The Door into Summer (1976);
Fred Hoyle: Fifth Planet (1972); and others.
He is also known from a song by the singer-songwriter Marko Brecelj, Alojz valček (Alojz Waltz). Brecelj sang about a "master of mafia" (i.e., of mathematical physics).
In October 2022, Alojz Kodre was awarded the Blinc Award (named after Robert Blinc) by the Jožef Stefan Institute for lifetime achievement.
Selected works
In collaboration with Ivan Kuščer, Matematika v fiziki in tehniki, Matematika – fizika : zbirka univerzitetnih učbenikov in monografij [Mathematics - Physics : Collection of University Textbooks and Monographs], 36, Ljubljana, DMFA – publishing, 1994, 2006, ISBN 961-212-033-1
References
External links
Blog story. Douglas Adams: The Hitchhiker's Guide to the Galaxy (III)
Blog story. Douglas Adams: The Hitchhiker's Guide to the Galaxy (IV)
1944 births
Living people
Slovenian translators
Slovenian physicists
Mathematical physicists
Science fiction translators
Academic staff of the University of Ljubljana
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https://en.wikipedia.org/wiki/Johann%20Pfanzagl
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Johann Richard Pfanzagl (2 July 1928 – 4 June 2019) was an Austrian mathematician known for his research in mathematical statistics.
Life and career
Pfanzagl studied from 1946 to 1951 at the University of Vienna and received his doctorate there in 1951 with Johann Radon and Edmund Hlawka on the topic of Hermitian forms in imaginary square number fields. In the same year he became a founding member of the Austrian Statistical Society, of which he was executive secretary from 1955 to 1959. From 1951 to 1959, Pfanzagl headed the statistical office of the Austrian Federal Economic Chamber. In 1959 he habilitated as a professor for statistics at the University of Vienna. Since 1960 he was a member of the Austrian Mathematical Society. At the same year, he moved to the University of Cologne, where he has held two chairs, one after the other, from 1960 to 1964 for economic and social statistics and from 1964 until his retirement in 1995 for mathematical statistics.
Pfanzagl became an honorary member of the Institute of Mathematical Statistics in 1968. From 1993 he was a corresponding member of the mathematics and natural sciences class abroad at the Austrian Academy of Sciences and received an honorary doctorate from the Vienna University of Economics and Business in 1993. He became an honorary member of the Austrian Statistical Society in 1996.
Bibliography
Die axiomatischen Grundlagen einer allgemeinen Theorie des Messens. Schriftenreihe des Statistischen Instituts der Universität Wien N. F. Nr. 1, Physica-Verlag, 1959.
References
External links
Über Johann Pfanzagl Facultas Verlags- und Buchhandels AG, retrieved 22 September 2022
Johann Pfanzagl Mathematics Genealogy Project, retrieved 22 September 2022
J. Pfanzagl Website der Universität zu Köln, Abteilung Mathematik, retrieved 22 September 2022
Johann Richard Pfanzagl 1928–2019. In: Österreichische Mathematische Gesellschaft (Hrsg.): Internationale Mathematische Nachrichten. Nr. 242, 73. Jahrgang, December 2019, Kapitel: Nachrichten der Österreichischen Mathematischen Gesellschaft. , S. 45. (oemg.ac.at, PDF).
2019 deaths
1928 births
Academic staff of the University of Cologne
Corresponding Members of the Austrian Academy of Sciences
University of Vienna alumni
20th-century Austrian mathematicians
Austrian statisticians
Academic staff of the University of Vienna
Mathematical statisticians
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https://en.wikipedia.org/wiki/F%C3%A9lix%20Auger-Aliassime%20career%20statistics
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These are the career statistics for Canadian tennis player Félix Auger-Aliassime. All information is according to the ATP.
Performance timelines
Singles
Current through the 2023 Rolex Paris Masters.
Doubles
Significant finals
Masters 1000 finals
Doubles: 1 (1 title)
ATP career finals
Singles: 14 (5 titles, 9 runner-ups)
Doubles: 2 (1 title, 1 runner-up)
National and international representation
Team competitions finals: 6 (4 titles, 2 runner-ups)
ATP Challenger Tour and ITF Futures finals
Singles: 9 (6 titles, 3 runner-ups)
Doubles: 2 (2 titles)
Junior Grand Slam finals
Singles: 2 (1 title, 1 runner-up)
Doubles: 3 (1 title, 2 runner-ups)
Career Grand Slam tournament statistics
Career Grand Slam tournament seedings
*
Best Grand Slam results details
Head-to-head records
Record against top 10 players
Auger-Aliassime's record against players who have been ranked in the top 10, with those who are active in boldface. Only ATP Tour main draw matches are considered:
Record against players ranked No. 11–20
Active players are in boldface.
Nikoloz Basilashvili 3–0
Lorenzo Musetti 3–2
Pablo Cuevas 2–0
Alex de Minaur 2–0
Nick Kyrgios 2–0
Albert Ramos Viñolas 2–1
Cristian Garín 2–2
Chung Hyeon 1–0
Reilly Opelka 1–0
Sam Querrey 1–0
Andreas Seppi 1–1
Borna Ćorić 1–2
Kyle Edmund 0–1
Aslan Karatsev 0–1
Ivo Karlović 0–1
Feliciano López 0–1
Benoît Paire 0–1
Bernard Tomic 0–1
*
Wins over top-10 players
Auger-Aliassime has a record against players who were ranked in the top 10 at the time the match was played.
* .
Longest winning streaks
16 match win streak (2022)
Notable exhibitions
Tournament Finals
Matches
See also
Canada Davis Cup team
List of Canada Davis Cup team representatives
References
External links
Félix Auger-Aliassime at the ITF profile
Auger-Aliassime, Félix
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https://en.wikipedia.org/wiki/Blockhouse%20on%20Signal%20Mountain%20%28Oklahoma%29
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{
"type": "Feature",
"geometry": { "type": "Point", "coordinates": [-98.49058, 34.67433] },
"properties": {
"title": "Blockhouse on Signal Mountain",
"marker-color": "ff7300",
"marker-size": "medium",
"marker-symbol": "mountain"
}
}
Blockhouse on Signal Mountain is within the Fort Sill Military Reservation, north of Lawton, Oklahoma. Located along Mackenzie Hill Road within the West Range and the current administrative division of Comanche County, it was known as Camp Wichita in May 1868. The blockhouse was established in 1871 pursuant to the Medicine Lodge Treaty of 1867.
The stone structure was constructed on the summit of Wichita Mountain's Signal Mountain encompassing a terrestrial elevation of . The shelter has a dimension of by with a structural exterior consisting of native stone collected within the vicinity of the Wichita Mountains. The four wall dwelling was erected as some of the first limestone architecture as part of Fort Sill's Old Post Corral or United States Army Quartermaster Corps fortification foraged during the American Indian Wars on the American frontier.
The observation post was settled as a meteorological observatory and signal station. The elevated station provided support for military communications between Signal Mountain, Medicine Bluffs, Mountain Scott, and Fort Reno geographically positioned north of the Canadian River within the Great Plains. The Fort Sill, Indian Territory signal station officially commenced atmospheric observations and telegraphic communications on June 23, 1875 with meteorological reports beginning on September 9, 1875.
The Army Signal Corps employed flag semaphore, heliograph, and signal lamp before implementing the signal field wire lines enabling electric telegraphic communications. The optical communication applied visible light along a visual topographical line of sight for distant information exchange. The semaphore communications served as an intelligence assessment of the Wichita Mountains cadastre while safeguarding the transcontinental railroad and territorial prairie trails as an integration of the Westward Expansion Trails.
The mountainous altitude served as an observation of the Plains Indians equine flights disrupting the manifest destiny of westbound wagon trains ostracizing the Reconstruction era at the crest of the progressive Gilded Age. The high ground outpost continually anticipated the spontaneous mobilization of the Old Post Redoubt troops into the rugged terrain of southwestern Indian Territory.
The geology of Oklahoma elevation features an area reconnaissance potentially revealing the disturbance of the prairie by bison hunting and horse breed herds reciprocative to the Oklahoma red beds and the shortgrass prairie of the Comanche, Kiowa, and Wichita Indian reservation within Southwestern Oklahoma.
Native Raids on Military Supply Wagon Trains
The stone lookout station was decisively undisputed at the Fort Sill outpost after Sheridan's campai
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https://en.wikipedia.org/wiki/Terrafirma%20Dyip%20all-time%20roster
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The following is a list of players, both past and current, who appeared in at least one game for the Kia/Mahindra/Columbian/Terrafirma PBA franchise. Statistics are accurate as of the 2023 PBA Governors' Cup.
Players
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| align=left| || align=left| || G/F || align=left| || 1 || || 27 || 263 || 75 || 11 || 5 ||
|-
| align=left| || align=left| || F || align=left| || 2 || – || 22 || 541 || 213 || 155 || 13 ||
|-
| align=left| || align=left| || G/F || align=left| || 3 || – || 39 || 352 || 105 || 66 || 26 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 12 || 100 || 39 || 29 || 1 ||
|-
| bgcolor="#CFECEC" align=left|^ || align=left| || G || align=left| || 2 || –present || 22 || 292 || 80 || 36 || 30 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 6 || 64 || 5 || 15 || 4 || |
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || F || align=left| || 1 || || 11 || 486 || 314 || 200 || 35 ||
|-
| align=left| || align=left| || F || align=left| || 2 || – || 43 || 520 || 93 || 112 || 30 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 7 || 95 || 41 || 20 || 4 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 11 || 185 || 68 || 41 || 12 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 16 || 232 || 89 || 21 || 14 ||
|-
| align=left| || align=left| || G || align=left| || 2 || – || 44 || 594 || 186 || 68 || 63 ||
|-
| align=left| || align=left| || F/C || align=left| || 3 || – || 35 || 287 || 43 || 46 || 6 ||
|-
| align=left| || align=left| || C || align=left| || 2 || – || 48 || 608 || 83 || 170 || 6 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 1 || 3 || 0 || 1 || 0 ||
|-
| bgcolor="#FFCC00" align=left|+ || align=left| || C || align=left| || 1 || || 4 || 161 || 108 || 60 || 12 ||
|-
| align=left| || align=left| || F || align=left nowrap| || 1 || || 1 || 4 || 0 || 0 || 0 ||
|-
| bgcolor="#CFECEC" align=left|^ || align=left| || G || align=left| || 3 || –present || 26 || 234 || 94 || 19 || 34 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 29 || 530 || 143 || 74 || 65 ||
|-
| align=left| || align=left| || F/C || align=left| || 1 || || 11 || 118 || 27 || 19 || 2 ||
|-
| bgcolor="#CFECEC" align=left|^ || align=left| || G || align=left| || 2 || –present || 24 || 621 || 208 || 97 || 128 ||
|-
| align=left| || align=left| || F || align=left| || 2 || – || 34 || 212 || 84 || 25 || 10 ||
|-
| bgcolor="#CFECEC" align=left|^ || align=left| || F || align=left| || 5 || –present || 116 || 2,362 || 569 || 448 || 118 ||
|-
| bgcolor="#CFECEC" align=left|^ || align=left| || G || align=left| || 4 || –present || 90 || 1,625 || 455 || 197 || 234 ||
|-
| bgcolor="#CFECEC" align=left|^ || align=left| || F || align=left| || 6 || –present || 130 || 2,131 || 1,007 || 516 || 104 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 32 || 809 || 373 || 122 || 31 ||
|-
| align=left| || align=left| || F/C || align=left| || 2 || – || 20 |
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https://en.wikipedia.org/wiki/Wells%20score%20%28pulmonary%20embolism%29
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The Wells score is a clinical prediction rule used to classify patients suspected of having pulmonary embolism (PE) into risk groups by quantifying the pre-test probability. It is different than Well's score for DVT (deep vein thrombosis). It was originally described by Well's et al. in 1998, using their experience from creating Well's score for DVT in 1995. Today, there are multiple (revised or simplified) versions of the rule, which may lead to ambiguity.
The purpose of the rule is to select the best method of investigation (e.g. D-dimer testing, CT angiography) for ruling in or ruling out the diagnosis of PE, and to improve the interpretation and accuracy of subsequent testing, based on a Bayesian framework for the probability of the diagnosis.
The rule is more objective than clinician gestalt, but still includes subjective opinion (unlike e.g. Geneva score).
Original algorithm
Originally it was developed in 1998 to improve the low specificity of V/Q scan results (which then had a more important role in the workup of PE than now).
It categorized patients into 3 categories: low / moderate / high probability. It was formulated in the form of an algorithm, not a score.
Subsequent testing choices were V/Q scanning, pulmonary angiography, and serial compression ultrasound.
Revised score
The emergence of D-dimer assays prompted the revision of the rule.
This version was published as a score, and according to the final score, patients could be categorized in either 3 groups (low / intermediate / high risk) or 2 groups (low / high risk)
Subsequent testing choices included D-dimer testing for low risk cases, and V/Q scanning, pulmonary angiography, and compression ultrasonography for intermediate / high risk patients and low-risk patients with positive D-dimer results.
Risk of PE using 3 categories (data from the derivation group)
Risk of PE using 2 categories (data from the derivation group)
References
Medical terminology
Medical tests
Vascular diseases
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https://en.wikipedia.org/wiki/Janis%20Oldham
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Janis Marie Oldham (March 31, 1956 – July 14, 2021) was an American mathematician specializing in differential geometry and mathematics education and known for her efforts in mentoring mathematics students, especially those from disadvantaged backgrounds.
Early life and education
Oldham was African American. She was born in Indianapolis, Indiana on March 31, 1956, and graduated from North Central High School (Indianapolis) in 1974. She became an undergraduate at the University of Chicago, majored in mathematics, and graduated with a bachelor of arts in 1978.
After going to Purdue University and earning a master's degree in mathematics in 1980, she went to the University of California, Berkeley for doctoral study, completing her Ph.D. in mathematics in 1990. Her dissertation, Connections in Super Principal Fiber Bundles, concerned connections in fiber bundles, mathematical structures used to transport geometric information from one part of a topological space to another. It was supervised by Shoshichi Kobayashi.
Career and later life
After completing her Ph.D., Davis became an instructor of mathematics at the University of California, Davis and then, in 1992, an assistant professor at North Carolina A&T State University, a historically-black public university. Ten years later, she was still one of only a very small number of African American women teaching university-level mathematics in the US. She earned tenure there and remained there for the rest of her career, until retiring shortly before her death. She died on July 14, 2021.
Service and mentorship
Oldham was "a passionate math mentor and professor", "particularly interested in events and activities that promoted mathematical excellence for underrepresented minorities". She was active as a conference organizer and newsletter editor for the National Association of Mathematicians, a mathematical organization particularly focusing on African Americans in mathematics, and for the Mathematical Association of America, which focuses on postsecondary mathematics education. She was also a leader in the EDGE program for mentoring beginning mathematics graduate students.
Recognition
In 2005, Oldham was the winner of the Etta Z. Falconer Award for Mentoring and Commitment to Diversity of Spelman College and the Infinite Possibilities Conference Steering Committee, given to "individuals who have demonstrated a professional commitment to mentoring and increasing diversity in the sciences, and in particular the mathematical sciences".
In 1994, she won the Distinguished Service Award of the National Association of Mathematicians, and in 2019, she won the Stephens–Shabazz Teaching Award of the same association.
References
1956 births
2021 deaths
People from Indianapolis
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
African-American mathematicians
African-American women scientists
University of Chicago alumni
Purdue University alumni
Universit
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https://en.wikipedia.org/wiki/WTA%201000%20Series%20singles%20records%20and%20statistics
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WTA 1000 is a category of tennis tournaments on the WTA Tour organized by the Women's Tennis Association.
The Series was initially called WTA Tier I which began in 1988 and lasted until 2008. Records before 1990 are excluded from this list. When the WTA Tour was established in 1990 there were initially six Tier I tournaments held annually in the first three years. The list thereafter expanded to eight events in 1993, nine in 1997 and ten in 2004, before being scaled back to nine for 2008.
In 2009 the WTA changed the tournament categories, so that the majority of Tier I and Tier II tournaments were in one category, Premier Tournaments, split into three categories: two of them being Premier Mandatory and Premier 5, comprising all the current nine events being held with Wuhan, which replaced Tokyo in 2014, as the only exception.
WTA Premier Mandatory and Premier 5 tournaments merged into a single highest tier and it is implemented since the reorganization of the schedule in 2021. There are ten WTA 1000 tournaments which divide into two categories: Mandatory and non-Mandatory. There are four Mandatory tournaments: Indian Wells, Miami, Madrid and Beijing and six non-Mandatory tournaments: Doha/Dubai, Rome, Cincinnati, Canada and Guadalajara.
These tournaments offer ranking points: 1,000 for a Mandatory and 900 for a non-Mandatory tournament.
Only three tournaments were held in 2020 due to the COVID-19 pandemic: Doha, Rome and Cincinnati.
Guadalajara replaced Wuhan and Beijing in 2022 due to the disappearance of Peng Shuai.
On 1 March 2022, the WTA announced that players from Belarus will not be allowed to compete under the name or flag of Belarus following the 2022 Russian invasion of Ukraine.
Champions by year
New tournaments underlined.
Tier I (1990–2008)
Premier / 1000 (since 2009)
Title leaders
Players with 5+ titles. Active players and records are denoted in bold.
71 champions in 288 events as of 2023 Beijing.
Career totals
Active players in bold.
Statistics correct as of 2023 Beijing. To avoid double counting, they should be updated at the conclusion of a tournament or when the player's participation has ended.
Season records
Tournament records
Most titles per tournament
Tournaments won with no sets dropped
Consecutive records
Calendar title combinations
Triples
Doubles
Title defence
Statistics
Seeds statistics
No. 1 vs. No. 2 seeds in final
Most finals contested between two players
Top 4 seeds in semifinals
Top 8 seeds in quarterfinals
Qualifiers in final
No seeds in final
All countrywomen statistics
All countrywomen in final
All countrywomen in semifinals
See also
WTA Tour
WTA 1000
WTA Premier Mandatory and Premier 5
WTA Tier I tournaments
ATP Tour
ATP Tour Masters 1000
Tennis Masters Series singles records and statistics
Tennis Masters Series doubles records and statistics
References
External links
WTA Tour official website
Tennis records and statistics
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https://en.wikipedia.org/wiki/JOLTS%20report
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The JOLTS report or Job Openings and Labor Turnover Survey is a report from the Bureau of Labor Statistics measuring Employment, layoffs, job openings, and quits in the United States economy. The report is released monthly and usually a month after the jobs report for the same reference period. Job separations are broken down into three categories quits or voluntary resignations, layoffs or discharges, and other separations which include deaths and retirements. Job openings and the quits rate were at an all time high in 2021 and 2022 triggering the Great Resignation.
See also
Nonfarm payrolls
Occupational Employment and Wage Statistics
References
Federal Statistical System of the United States
National statistical services
Official statistics
Statistical organizations in the United States
Unemployment in the United States
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https://en.wikipedia.org/wiki/K%C3%A4hler%20identities
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In complex geometry, the Kähler identities are a collection of identities between operators on a Kähler manifold relating the Dolbeault operators and their adjoints, contraction and wedge operators of the Kähler form, and the Laplacians of the Kähler metric. The Kähler identities combine with results of Hodge theory to produce a number of relations on de Rham and Dolbeault cohomology of compact Kähler manifolds, such as the Lefschetz hyperplane theorem, the hard Lefschetz theorem, the Hodge-Riemann bilinear relations, and the Hodge index theorem. They are also, again combined with Hodge theory, important in proving fundamental analytical results on Kähler manifolds, such as the -lemma, the Nakano inequalities, and the Kodaira vanishing theorem.
History
The Kähler identities were first proven by W. V. D. Hodge, appearing in his book on harmonic integrals in 1941. The modern notation of was introduced by André Weil in the first textbook on Kähler geometry, Introduction à L’Étude des Variétés Kähleriennes.
The operators
A Kähler manifold admits a large number of operators on its algebra of complex differential formsbuilt out of the smooth structure (S), complex structure (C), and Riemannian structure (R) of . The construction of these operators is standard in the literature on complex differential geometry. In the following the bold letters in brackets indicates which structures are needed to define the operator.
Differential operators
The following operators are differential operators and arise out of the smooth and complex structure of :
, the exterior derivative. (S)
, the -Dolbeault operator. (C)
, the -Dolbeault operator. (C)
The Dolbeault operators are related directly to the exterior derivative by the formula . The characteristic property of the exterior derivative that then implies and .
Some sources make use of the following operator to phrase the Kähler identities.
. (C)
This operator is useful as the Kähler identities for can be deduced from the more succinctly phrased identities of by comparing bidegrees. It is also useful for the property that . It can be defined in terms of the complex structure by the formula
Tensorial operators
The following operators are tensorial in nature, that is they are operators which only depend on the value of the complex differential form at a point. In particular they can each be defined as operators between vector spaces of forms at each point individually.
, the complex conjugate operator. (C)
, the Lefschetz operator defined by where is the Kähler form. (CR)
, the Hodge star operator. (R)
The direct sum decomposition of the complex differential forms into those of bidegree (p,q) manifests a number of projection operators.
, the projection onto the part of degree k. (S)
, the projection onto the part of bidegree (p,q). (C)
, known as the counting operator. (S)
, the complex structure operator on the complex vector space . (C)
Notice the last operator is the extension of t
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https://en.wikipedia.org/wiki/WTA%201000%20Series%20doubles%20records%20and%20statistics
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WTA 1000 is a category of tennis tournaments on the WTA Tour organized by the Women's Tennis Association.
The Series was initially called WTA Tier I which began in 1988 and lasted until 2008. Records before 1990 are not counted in this list. When the WTA Tour was established in 1990 there were initially six Tier I tournaments held annually in the first three years. The list thereafter expanded to eight events in 1993, nine in 1997 and ten in 2004, before being scaled back to nine for 2008.
In 2009 the WTA changed the tournament categories, so that the majority of Tier I and Tier II tournaments were in one category, Premier Tournaments, split into three categories: two of them being Premier Mandatory and Premier 5, comprising all the current nine events being held with Wuhan, which replaced Tokyo in 2014, as the only exception.
WTA Premier Mandatory and Premier 5 tournaments merged into a single highest tier which has been implemented since the reorganization of the schedule in 2021. There are currently ten WTA 1000 tournaments which divide into two categories:
Four Mandatory tournaments:
Indian Wells
Miami
Madrid
Beijing
Six non-Mandatory tournaments:
Doha/Dubai
Rome
Cincinnati
Canada
Guadalajara
These tournaments offer ranking points: 1,000 for a Mandatory and 900 for a non-Mandatory tournament.
Only three tournaments were held in 2020 due to the Coronavirus pandemic: Doha, Rome and Cincinnati.
Champions by year
New tournaments underlined.
Tier I (1990–2008)
Premier / 1000 (since 2009)
Title leaders
Players with 6+ titles. Active players and records are denoted in bold.
152 champions in 288 events as of 2023 Beijing.
Career totals
Active players in bold.
Statistics correct as of 2023 Beijing. To avoid double counting, they should be updated at the conclusion of a tournament or when the player's participation has ended.
Season records
Tournament records
Most titles per tournament
Tournaments won with no sets dropped
Consecutive records
Calendar title combinations
Quadruples
Triples
Doubles
Title defence
Statistics
Seeds statistics
No. 1 vs. No. 2 seeds in final
Top 4 seeds in semifinals
Top 8 seeds in quarterfinals
Qualifiers in final
All countrywomen in final
See also
WTA Tour
WTA 1000
WTA Premier Mandatory and Premier 5
WTA Tier I tournaments
ATP Tour
ATP Tour Masters 1000
Tennis Masters Series singles records and statistics
Tennis Masters Series doubles records and statistics
References
External links
WTA Tour official website
Tennis records and statistics
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https://en.wikipedia.org/wiki/Carol%20House
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Carol C. House is a retired American statistician who worked for many years in the National Agricultural Statistics Service.
Education and career
House studied mathematics as a graduate student at the University of Maryland, College Park. She worked for 34 years in the National Agricultural Statistics Service, beginning in the late 1970s, and becoming chair of its Agricultural Statistics Board and deputy administrator for programs and products. She retired in 2010. After retiring, she came to work part time in the Committee on National Statistics of the National Academy of Sciences. There, she became a senior program officer, and study director for studies including Measuring What We Spend: Toward a New Consumer Expenditure Survey (2013) and Estimating the Incidence of Rape and Sexual Assault (2014).
Recognition
House was elected as a Fellow of the American Statistical Association in 2003. She is also an elected member of the International Statistical Institute.
References
Year of birth missing (living people)
Living people
American statisticians
American women statisticians
University of Maryland, College Park alumni
Fellows of the American Statistical Association
Elected Members of the International Statistical Institute
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https://en.wikipedia.org/wiki/Canada%20immigration%20statistics
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Since confederation in 1867 through to the contemporary era, decadal and demi-decadal census reports in Canada have compiled detailed immigration statistics. During this period, the highest annual immigration rate in Canada occurred in 1913, when 400,900 new immigrants accounted for 5.3 percent of the total population, while the greatest number of immigrants admitted to Canada in single year occurred in 2022, with 437,500 persons accounting for 1.1 percent of the total population.
In a linear timeline following initial British and French colonization, what is now Canada has seen four major waves (or peaks) of immigration and settlement of non-Indigenous Peoples take place over a span of nearly two centuries. Canada is currently undergoing its fifth wave.
Annual immigration and rate
Since confederation in 1867, the highest annual immigration rate in Canada occurred during the early 20th century, including 1913 (new immigrants accounted for 5.3 percent of the total population), 1912 (5.1 percent), 1911 (4.6 percent), 1907 (4.3 percent) and 1910 (4.1 percent). At this time, immigration from the British Isles increased, supplemented by a rapid increase in immigration flows from continental Europe, especially Germany, Scandinavia, and the Soviet Union.
Sources of immigration
Canada receives its immigrant population from almost every country in the world. Statistics Canada projects that immigrants will represent between 29.1% and 34.0% of Canada's population in 2041, compared with 23.0% in 2021, while the Canadian population with at least one foreign born parent (first and second generation persons) could rise to between 49.8% and 54.3%, up from 44.0% in 2021. The number of visible ethno-cultural composition of population will double and make up the minority of the population of cities in Canada.
2021 census
The 2021 census reported that immigrants comprised 8,361,505 individuals or 23.0 percent of the total Canadian population. Of the total immigrant population, the top countries of origin were India (898,045 persons or 10.7%), Philippines (719,580 persons or 8.6%), China (715,835 persons or 8.6%), United Kingdom (464,135 persons or 5.6%), United States (256,085 persons or 3.1%), Pakistan (234,110 persons or 2.8%), Hong Kong (213,855 persons or 2.6%), Italy (204,065 persons or 2.4%), Iran (182,940 persons or 2.2%), and Vietnam (182,095 persons or 2.2%).
2016 census
The 2016 census reported that immigrants comprised 7,540,830 individuals or 21.9 percent of the total Canadian population. Of the total immigrant population, the top countries of origin were India (668,565 persons or 8.9%), China (649,260 persons or 8.6%), Philippines (588,305 persons or 7.8%), United Kingdom (499,120 persons or 6.6%), United States (253,715 persons or 3.4%), Italy (236,635 persons or 3.1%), Hong Kong (208,935 persons or 2.8%), Pakistan (202,255 persons or 2.7%), Vietnam (169,250 persons or 2.2%), and Iran (154,420 persons or 2.1%).
2011 census
The 2011 census r
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https://en.wikipedia.org/wiki/Rousseeuw%20Prize%20for%20Statistics
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The Rousseeuw Prize for Statistics awards innovations in statistical research with impact on society. This biennial prize is awarded in even years, and consists of a medal, a certificate, and a monetary reward of US$1,000,000, similar to the Nobel Prize in other disciplines. The home institution of the Prize is the King Baudouin Foundation (KBF) in Belgium, which appoints the international jury and carries out the selection procedure. The award money comes from the Rousseeuw Foundation created by the statistician Peter Rousseeuw.
The first Rousseeuw Prize was awarded on October 12, 2022, at KU Leuven, presented by His Majesty King Philippe of Belgium. The awarded topic was Causal Inference with application in Medicine and Public Health, with laureates James Robins, Andrea Rotnitzky, Thomas Richardson, Miguel Hernán and Eric Tchetgen Tchetgen.
Laureates
Nominations for the prize are submitted to its website together with letters of recommendation. The organizers of the prize and its ceremony are Mia Hubert and Stefan Van Aelst.
See also
International Prize in Statistics
COPSS Presidents' Award
COPSS Distinguished Achievement Award and Lectureship
References
External links
The Rousseeuw Prize for Statistics, official site
The King Baudouin Foundation, official site
Belgian awards
Statistical awards
2022 establishments in Belgium
Awards established in 2022
King Baudouin Foundation
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https://en.wikipedia.org/wiki/Hyperbolic%20theory
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Hyperbolic theory may refer to:
Hyperbolic geometry
The theory of hyperbolic partial differential equations
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https://en.wikipedia.org/wiki/Kees%20Vuik
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Cornelis (Kees) Vuik (Capelle aan den IJssel, Jan. 25, 1959) is a Dutch mathematician and professor. In 1982 he received his master's degree in applied mathematics from Delft University of Technology in Netherlands. He worked at Philips Natuurkundig Laboratorium for six months. He completed his Ph.D. at Utrecht University in 1988. His research focused on moving-boundary problems (Stefan problems) and he was supervised by Prof. dr. E.M.J. Bertin and Prof. dr. A. van der Sluis. Vuik then worked at TU Delft, successively as assistant professor, associate professor, and since 2007 as full professor of Numerical Analysis in the Faculty of Electrical Engineering, Mathematics and Computer Science. Since 2022, he has been department chair of the Delft Institute of Applied Mathematics (DIAM) department.
Research
Vuik's primary research interests are in numerical linear algebra. He also works on simulators for energy networks and high-performance computing. Several dozen Ph.D. students have been supervised by Vuik. His research has led to many publications in international journals. He was the founder of the TU Delft Institute for Computational Science and Engineering (DCSE), of which he has been the director since 2007. The institute connects TU Delft researchers from various disciplines that make use of computational methods. Thanks to his efforts, a High-Performance Computing facility was created within TU Delft, to which he has been a scientific director since 2020. From 2012 to 2019, Vuik also served as scientific director of the 4TU.Applied Mathematics Institute (4TU.AMI) of TU Delft, TU Eindhoven, the University of Twente and Wageningen University & Research. Under his leadership, the institute has grown into an important player within the Dutch mathematical community, with connections to similar institutes such as Matheon in Berlin. 4TU.AMI has also contributed to the innovation of mathematics education. In 2013, Vuik participated in a Flemish-Dutch economic mission to Texas as a representative of (at the time) the 3TU federation.
Teaching
Vuik is active in developing mathematical courses, BSc. and MSc. curricula, and educational innovations. He founded the minor Computational Science and Engineering. He is the coordinator of the international program Computer Simulation for Science and Engineering (COSSE), established in cooperation with TU Berlin and KTH Royal Institute of Technology Sweden. Vuik was also closely involved in the Massive Open Online Course (MOOC) Mathematical Modeling Basics. Tens of thousands of students have already participated in this online course. Vuik is a faculty advisor of the SIAM Student Chapter Delft of the Society for Industrial and Applied Mathematics (SIAM). He is further involved in the development and application of Multi-Media Math Education (MUMIE), an open-source e-learning platform in mathematics.
Awards
Vuik has won several awards throughout his career, including:
- 2022: Professor of Excellence Award
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https://en.wikipedia.org/wiki/Gillian%20Slater
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Gillian Lesley Slater (née Filtness) is a retired British mathematician and academic administrator, the former vice chancellor of Bournemouth University.
Education
Slater read mathematics in St Hugh's College, Oxford, where she served as secretary of the Oxford University Liberal Democrats in 1969. She completed a DPhil at the University of Oxford in 1973, with the dissertation Some Topics in Functional–Differential Equations supervised by John Bryce McLeod.
Career
Slater became a mathematics instructor at South Bank Polytechnic (now London South Bank University) and at Sheffield City Polytechnic (now Sheffield Hallam University). She moved into academic administration as dean of science and technology at Manchester Polytechnic, and then after it became Manchester Metropolitan University, as pro-vice-chancellor.
Her next step was to become vice chancellor of Bournemouth University, in 1994, succeeding the university's first vice chancellor, Bernard MacManus. She came under pressure from the UK's Labour government in 2004 for taking a stand against the government's push to institute differential fees for different universities, and retired in 2005, replaced as vice chancellor by atmospheric scientist Paul Curran.
References
Further reading
Year of birth missing (living people)
Living people
British mathematicians
British women mathematicians
Alumni of St Hugh's College, Oxford
Academics of London South Bank University
Academics of Sheffield Hallam University
Academics of Manchester Metropolitan University
Academics of Bournemouth University
Fellows of the Institute of Mathematics and its Applications
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https://en.wikipedia.org/wiki/Indira%20Chatterji
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Indira Lara Chatterji (born 25 January 1973) is a Swiss-Indian mathematician working in France as a professor of mathematics in the J. A. Dieudonné Laboratory of the University of Côte d'Azur. Her research involves low-dimensional geometry, cubical complexes, and geometric group theory. She has also studied sexism and institutional bias in mathematics.
Education and career
Chatterji was born in Lausanne, where her father, Indian probability theorist Srishti Dhar Chatterji, worked; her mother was a Swiss woman from Ticino, Carla Bolognini. She is a Swiss citizen, and holds Overseas Citizenship of India. After entering the University of Lausanne intending to study criminology and then sociology, she switched to mathematics, earning a license in 1995 and a diploma in 1997. She completed her doctorate in mathematics at ETH Zurich in 2001. Her dissertation, On property (RD) for certain discrete groups, studied the property of "rapid decay" in group theory, introduced by Vincent Lafforgue in connection with the Baum–Connes conjecture. It was jointly supervised by Marc Burger and Alain Valette.
After working as an H. C. Wang Assistant Professor at Cornell University, she took a tenure-track faculty position at Ohio State University in 2005, and remained there until 2011, earning tenure in 2010. In 2007, she was one of 16 US mathematicians to win an NSF CAREER Award. Meanwhile, in 2005, she began working as a professor at the University of Orléans in France (on leave from Ohio State), and in 2010 was promoted to professor 1st class. In 2014 she moved to her present position in the J. A. Dieudonné Laboratory, originally associated with the University of Nice Sophia Antipolis and currently with the University of Côte d'Azur.
She also serves on the scientific council of the .
Animation
Along with her mathematical research, Chatterji has made animated drawings that illustrate concepts in geometric group theory for general-audience talks, and exhibited her drawings in the Institute for Computational and Experimental Research in Mathematics "Illustrating Mathematics" program.
Recognition
Chatterji was a junior member of the Institut Universitaire de France from 2014 to 2019.
References
External links
Home page
1973 births
Living people
Swiss mathematicians
Indian mathematicians
Women mathematicians
University of Lausanne alumni
ETH Zurich alumni
Cornell University faculty
Ohio State University faculty
Academic staff of Côte d'Azur University
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https://en.wikipedia.org/wiki/Bishop%27s%20graph
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In mathematics, a bishop's graph is a graph that represents all legal moves of the chess piece the bishop on a chessboard. Each vertex represents a square on the chessboard and each edge represents a legal move of the bishop; that is, there is an edge between two vertices (squares) if they occupy a common diagonal. When the chessboard has dimensions , then the induced graph is called the bishop's graph.
Properties
The fact that the chessboard has squares of two colors, say red and black, such that squares that are horizontally or vertically adjacent have opposite colors, implies that the bishop's graph has two connected components, whose vertex sets are the red and the black squares, respectively. The reason is that the bishop's diagonal moves do not allow it to change colors, but by one or more moves a bishop can get from any square to any other of the same color. The two components are isomorphic if the board has a side of even length, but not if both sides are odd.
A component of the bishop's graph can be treated as a rook's graph on a diamond if the original board is square and has sides of odd length, because if the red squares (say) are turned 45 degrees, the bishop's moves become horizontal and vertical, just like those of the rook.
Domination
A square is said to be attacked by a bishop if the bishop can get to that square in exactly one move. A dominating set is an arrangement of bishops such that every square is attacked or occupied by one of those bishops. An independent dominating set is a dominating set in which no bishop attacks any other. The minimum number of bishops needed to dominate a square board of side n is exactly n, and this is also the smallest number of bishops that can form an independent dominating set.
By contrast, a total domination set, which is a dominating set for which every square, including those occupied by bishops, is attacked by one of the bishops, requires more bishops; on the square board of side n ≥ 3, the least size of a total dominating set is about 1/3 larger than a minimum dominating set.
References
Graph theory
Mathematical chess problems
Chess-related lists
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https://en.wikipedia.org/wiki/Retopology
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Retopology (or retopo) is a step in the 3D modeling process where an object's polygonal mesh is modified or recreated to obtain a cleaner layout while maintaining nearly the same physical shape of the model. Owing to its complexity, retopology is currently a mostly manual process but tools exist to assist 3D artists with the workflow. Automated and semi-automated retopology algorithms are an active field of research; state-of-the-art techniques provide good results in some, but not all, cases. Most organically-shaped models, especially those that are animated or used in real-time applications, must be created with clean topology to render and perform with good results.
References
3D computer graphics
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https://en.wikipedia.org/wiki/Arnold%20conjecture
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The Arnold conjecture, named after mathematician Vladimir Arnold, is a mathematical conjecture in the field of symplectic geometry, a branch of differential geometry.
Statement
Let be a compact symplectic manifold. For any smooth function , the symplectic form induces a Hamiltonian vector field on , defined by the identity:
The function is called a Hamiltonian function.
Suppose there is a 1-parameter family of Hamiltonian functions , inducing a 1-parameter family of Hamiltonian vector fields on . The family of vector fields integrates to a 1-parameter family of diffeomorphisms . Each individual is a Hamiltonian diffeomorphism of .
The Arnold conjecture says that for each Hamiltonian diffeomorphism of , it possesses at least as many fixed points as a smooth function on possesses critical points.
Nondegenerate Hamiltonian and weak Arnold conjecture
A Hamiltonian diffeomorphism is called nondegenerate if its graph intersects the diagonal of transversely. For nondegenerate Hamiltonian diffeomorphisms, a variant of the Arnold conjecture says that the number of fixed points is at least equal to the minimal number of critical points of a Morse function on , called the Morse number of .
In view of the Morse inequality, the Morse number is also greater than or equal to a homological invariant of , for example, the sum of Betti numbers over a field :
The weak Arnold conjecture says that for a nondegenerate Hamiltonian diffeomorphism on the above integer is a lower bound of its number of fixed points.
See also
Arnold–Givental conjecture
References
Symplectic geometry
Conjectures
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https://en.wikipedia.org/wiki/Yunqing%20Tang
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Yunqing Tang is a mathematician specialising in number theory and arithmetic geometry and an Assistant Professor at University of California, Berkeley. She was awarded the SASTRA Ramanujan Prize in 2022 for "having established, by herself and in collaboration, a number of striking results on some central problems in arithmetic geometry and number theory".
Yunqing Tang was born in China and secured a BSc degree from Beijing University in 2011 and then moved to Harvard University for higher education from where she graduated with a Ph D degree in 2016 under the guidance of Mark Kisin. She was associated with Princeton University in several capacities. First she was with the IAS Princeton during 2016-2017, then as an instructor from July 2017 to Jan 2020 and then as an assistant professor from July 2021 to June 2022, In between, she worked as a researcher at CNRS from February 2020 to June 2021. She is with University of California, Berkeley since July 2022.
Work
The citation for SASTRA Ramnujan Prize summarizes Yunqing Tang's contributions to mathematics thus:
"The prize notes that her works display a remarkable combination of sophisticated techniques, in which the arithmetic and geometry of modular curves and of Shimura varieties play a central role, and have strong links with the discoveries of Srinivasa Ramanujan in the area of modular equations. ... she established a new special case of the Ogus conjecture concerning cycles in de Rham cohomology of abelian varieties. She has shown that any abelian surface with real multiplication has infinitely many primes with split reduction. She resolved of the long-standing unbounded coefficient conjecture of Atkin and Swinnertin-Dyer that algebraic functions which are not invariant under any congruence subgroup of SL2(Z), must have unbounded denominators. The study of algebraic functions that are related to the moduli of elliptic integrals, stems from Ramanujan’s own investigations and the plethora of beautiful modular identities that he discovered."
Awards and recognition
The awards and recognition conferred on Yunqing Tang include:
SASTRA Ramanujan Prize, 2022.
AWM Dissertation Prize, awarded for outstanding Ph.D dissertations by female students in the US, 2016.
New World Mathematics Award, Gold Medal for Ph.D thesis awarded for outstanding Chinese mathematics students worldwide, 2016.
Merit Research Fellowship, Graduate School of Arts and Sciences, Harvard University, 2015 – 2016.
References
Recipients of the SASTRA Ramanujan Prize
Living people
Year of birth missing (living people)
University of California, Berkeley faculty
Peking University alumni
Princeton University faculty
Harvard University alumni
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https://en.wikipedia.org/wiki/Kirsten%20Wickelgren
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Kirsten Graham Wickelgren is an American mathematician whose research interests range over multiple areas including algebraic geometry, algebraic topology, arithmetic geometry, and anabelian geometry. She is a professor of mathematics at Duke University.
Education and career
Wickelgren was one of the finalists in the 1999 Intel Science Talent Search. She majored in mathematics at Harvard University, graduating magna cum laude in 2003. After a year at the École normale supérieure (Paris), she went to Stanford University for doctoral study in mathematics, completing her Ph.D. in 2009. Her dissertation, Lower Central Series Obstructions To Homotopy Sections of Curves Over Number Fields, was supervised by Gunnar Carlsson.
She returned to Harvard as a five-year postdoctoral research fellow, funded by the American Institute of Mathematics, and in 2013 became an assistant professor at Georgia Tech. In 2018 she was tenured as associate professor there, and in 2019 she moved to Duke University as a full professor.
Recognition
Wickelgren was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to algebraic topology, algebraic geometry, and number theory".
Family
Wickelgren is daughter of psychologists Norma Graham and Wayne Wickelgren, sister of physicist , and half-sister of lawyer Abraham Wickelgren. She is granddaughter of psychologist Frances K. Graham and great-granddaughter of surgeon Evarts Ambrose Graham.
References
External links
Home page
Year of birth missing (living people)
Living people
American mathematicians
American women mathematicians
Harvard University alumni
Stanford University alumni
Georgia Tech faculty
Duke University faculty
Fellows of the American Mathematical Society
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https://en.wikipedia.org/wiki/Scott%20Shields%20Emerson
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Scott Shields Emerson is an American biostatistician and emeritus professor of the University of Washington.
Emerson was a professor of biostatistics at the University of Washington in the School of Public Health's department of biostatistics from 1999 to 2017. Emerson worked on randomized controlled trial design. Emerson has been part of advisory committees for the Food and Drug Administration, including on work related to Aduhelm.
Schooling
Emerson studied at the University of Virginia and the University of Washington.
References
Living people
University of Washington faculty
Biostatisticians
University of Virginia alumni
University of Washington alumni
Food and Drug Administration people
Year of birth missing (living people)
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https://en.wikipedia.org/wiki/Jennifer%20Hom
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Jennifer Cheung Hom is an American mathematician whose research concerns low-dimensional topology, including Heegaard Floer homology and link concordance. She is a professor of mathematics at Georgia Tech.
Education and career
Hom majored in applied physics at Columbia University, with a minor in applied physics, graduating magna cum laude in 2004. She became a doctoral student of Paul Melvin at the University of Pennsylvania, completing a Ph.D. in 2011 with the dissertation Heegaard Floer invariants and cabling.
She returned to Columbia University as Ritt Assistant Professor from 2011 to 2015, when she moved to Georgia Tech. She was tenured there as an associate professor in 2018.
Recognition
Hom was named to the 2023 class of Fellows of the American Mathematical Society, "for contributions to low-dimensional topology, Heegaard Floer homology, and service to the mathematical community".
References
External links
Home page
Year of birth missing (living people)
Living people
American mathematicians
American women mathematicians
Topologists
Columbia University alumni
University of Pennsylvania alumni
Columbia University faculty
Georgia Tech faculty
Fellows of the American Mathematical Society
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https://en.wikipedia.org/wiki/Standard%20deviation%20line
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In statistics, the standard deviation line (or SD line) marks points on a scatter plot that are an equal number of standard deviations away from the average in each dimension. For example, in a 2-dimensional scatter diagram with variables and , points that are 1 standard deviation away from the mean of and also 1 standard deviation away from the mean of are on the SD line. The SD line is a useful visual tool since points in a scatter diagram tend to cluster around it, more or less tightly depending on their correlation.
Properties
Relation to regression line
The SD line goes through the point of averages and has a slope of when the correlation between and is positive, and when the correlation is negative. Unlike the regression line, the SD line does not take into account the relationship between and . The slope of the SD line is related to that of the regression line by where is the slope of the regression line, is the correlation coefficient, and is the magnitude of the slope of the SD line.
Typical distance of points to SD line
The root mean square vertical distance of points from the SD line is . This gives an idea of the spread of points around the SD line.
Descriptive statistics
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https://en.wikipedia.org/wiki/Mel%20Wymore
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Mel Joaquin Wymore is an American activist, systems engineer, and social impact entrepreneur.
Education
Wymore was formally trained in mathematics, communications, and systems engineering at the University of Arizona, and certified in sustainable business strategy at Harvard.
Career
Over 30 years, Wymore served in local and nonprofit governance, organizing dozens of large-scale projects to expand public resources and support vulnerable residents of Manhattan's Upper West Side. As Executive Director of TransPAC, he marshaled support to pass first-ever gender protections in NY State (GENDA) in 2019.
In 2009, a single mother of two children, Chair of Manhattan Community Board 7, and Chair of Ethical Culture Fieldston parents association, Wymore began a gender transition in open dialogue with thousands of parents and neighbors. In 2013, Wymore ran for New York City Council and became the first openly transgender person to run for public office in the State of New York. Although Wymore received widespread support and the endorsement of the New York Times, he placed 2th in a field of seven candidates.
Having trained with systems pioneer A. Wayne Wymore and leadership expert Monica Sharma, Wymore focuses on empowering individuals and organizations to shift socioeconomic systems toward achieving universal well-being.
References
Living people
Transgender male politicians
Transgender rights activists
Transgender businesspeople
American LGBT politicians
American LGBT rights activists
American LGBT businesspeople
American transgender people
Year of birth missing (living people)
21st-century American LGBT people
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https://en.wikipedia.org/wiki/Fast%20probability%20integration
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Fast probability integration (FPI) is a method of determining the probability of a class of events, particularly a failure event, that is faster to execute than Monte Carlo analysis. It is used where large numbers of time-variant variables contribute to the reliability of a system. The method was proposed by Wen and Chen in 1987.
For a simple failure analysis with one stress variable, there will be a time-variant failure barrier, , beyond which the system will fail. This simple case may have a deterministic solution, but for more complex systems, such as crack analysis of a large structure, there can be a very large number of variables, for instance, because of the large number of ways a crack can propagate. In many cases, it is infeasible to produce a deterministic solution even when the individual variables are all individually deterministic. In this case, one defines a probabilistic failure barrier surface, , over the vector space of the stress variables.
If failure barrier crossings are assumed to comply with the Poisson counting process an expression for maximum probable failure can be developed for each stress variable. The overall probability of failure is obtained by averaging (that is, integrating) over the entire variable vector space. FPI is a method of approximating this integral. The input to FPI is a time-variant expression, but the output is time-invariant, allowing it to be solved by first-order reliability method (FORM) or second-order reliability method (SORM).
An FPI package is included as part of the core modules of the NASA-designed NESSUS software. It was initially used to analyse risks and uncertainties concerning the Space Shuttle main engine, but is now used much more widely in a variety of industries.
References
Bibliography
Beck, André T.; Melchers, Robert E., "Fatigue and fracture reliability analysis under random loading", pp. 2201–2204 in, Bathe, K.J (ed), Proceedings of the Second MIT Conference on Computational Fluid and Solid Mechanics June 17–20, 2003, Elsevier, 2003 .
Murthy, Pappu L.N.; Mital, Subodh K.; Shah, Ashwin R., "Design tool developed for probabilistic modeling of ceramic matrix composite strength", pp. 127–128 in, Research & Technology 1998, NASA Lewis Research Center, 1999.
Riha, David S.; Thacker, Ben H.; Huyse, Luc J.; Enright, Mike P.; Waldhart, Chris J.; Francis, W. Loren; Nicolella, Dniel P.; Hudak, Stephen J.; Liang, Wuwei; Fitch, Simeon H.K., "Applications of reliability assessment for aerospace, automotive, bioengineering, and weapons systems", ch. 1 in, Nikolaidis, Efstratios; Ghiocel, Dan M.; Singhal, Suren, Engineering Design Reliability Applications: For the Aerospace, Automotive and Ship Industries, CRC Press, 2007 .
Shah, A.R.; Shiao, M.C.; Nagpal, V.K.; Chamis, C.C., Probabilistic Evaluation of Uncertainties and Risks in Aerospace Components, NASA Technical Memorandum 105603, March 1992.
Wen, Y.K.; Chen, H.C., "On fast integration for time variant structural reliab
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https://en.wikipedia.org/wiki/Latin%20tenses%20with%20modality
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This article covers free indications of frequency, probability, volition and obligation.
Gerundive tenses
Present gerundive
The gerundive of the verb (an adjectival form ending in -ndus) can be combined with the verb 'I am' to make a passive periphrastic tense. This usually expresses what is needing to be done:
(Pliny)
'I don't need to be asked or encouraged' (i.e. I will do it willingly)
(Celsus)
'tumours of this kind need to be lanced'
Negative
The negative gerundive usually means 'not needing to be', as in the first example above. However, sometimes the interpretation 'ought not to be' or 'it isn't possible for it to be' is more appropriate:
(Seneca)
'you do not need to be reminded now that no one is good except the wise man'
(Ovid)
'the story of Achilles shouldn't (or can't) be told using the metre of Callimachus'
Impersonal construction
Very often the passive periphrastic is used impersonally, together with a dative of the agent:
(Cicero)
'a decision needs to be made by you today'
The impersonal form of this tense can also be made using intransitive verbs such as 'I go' and verbs such as 'I persuade' and 'I use' which do not take an accusative object:
(Cicero)
'there is no need to reply to everything'
(Cicero)
'I have to go to Arpinum'
(Cicero)
'you must use your judgement'
Future gerundive
An example of a future gerundive periphrastic is the following:
(Cicero)
'since that isn't possible, we will need to ask my friend, Marcus Plaetorius'
Imperfect gerundive
An example of the imperfect passive periphrastic is the following:
(Cicero)
'he was afraid not only of those things which needed to be feared, but everything'
Perfect gerundive
As with the active perfect periphrastic, in a conditional sentence the perfect gerundive periphrastic tense can mean 'would have done':
(Livy)
'if you had delayed just one day, you would all have died'
Another meaning of the perfect passive is 'ought to have been done':
(Cicero)
'either his army should have been taken away or he should have been given the command'
In the following result clause, this tense becomes subjunctive:
(Cicero)
'what you write about Pomptinus is correct: for the fact is that, if he is going to be in Brundisium before the 1st June, it wasn't so necessary for Marcus Anneius and Lucius Tullius to have been urged to hurry'
Future perfect gerundive
The active future perfect periphrastic tense is not found, but the passive occurs:
(Vitruvius)
'whenever (at some future time) it is necessary for a building to be made (using local stone), the stones for it should be quarried two years in advance'
For gerundive infinitive tenses see #Gerundive infinitives below.
Subjunctive tenses
Wishes
The present subjunctive can express a wish for the future (the word is usually added):
(Cicero)
'I hope I may see that day!'
The negative is :
(Cicero)
'may I not live if I know!'
Less commonly, the perfect subjunctive expresses a wish for the past, leaving open the poss
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https://en.wikipedia.org/wiki/Albert%20Woods%20%28footballer%29
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Albert Woods was an English footballer who played in the Football League for Gillingham as a left half.
Career statistics
References
English men's footballers
English Football League players
Gillingham F.C. players
Brentford F.C. players
1907 births
Men's association football wing halves
People from Faversham
Year of death missing
Footballers from Kent
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https://en.wikipedia.org/wiki/Plane-based%20Geometric%20Algebra
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Plane-based Geometric Algebra is an application of Clifford algebra to modelling planes, lines, points, and rigid transformations. Generally this is with the goal of solving engineering problems involving these elements and their intersections, projections, and their angle from one another in 3D space. Originally growing out of research on spin groups, it was developed with applications to robotics in mind. It has since been applied to machine learning, rigid body dynamics, and computer science, especially computer graphics. It is usually combined with a duality operation into a system known as "Projective Geometric Algebra", see below.
Plane-based geometric algebra takes planar reflections as basic elements, and constructs all other transformations and geometric objects out of them. In technical language: it identifies planar reflections with the grade-1 elements of a Clifford Algebra, that is, elements that are written with a single subscript such as "". With some rare exceptions described below, the algebra is almost always , meaning it has three basis grade-1 elements whose square is and a single basis element whose square is .
Plane-based GA subsumes a large number of algebraic constructions applied in engineering, including the axis–angle representation of rotations, the quaternion and dual quaternion representations of rotations and translations, the plücker representation of lines, the point normal representation of planes, and the homogeneous representation of points. Dual Quaternions then allow the screw, twist and wrench model of classical mechanics to be constructed.
The plane-based approach to geometry may be contrasted with the approach that uses the cross product, in which points, translations, rotation axes, and plane normals are all modelled as "vectors". However, use of vectors in advanced engineering problems often require subtle distinctions between different kinds of vector because of this, including Gibbs vectors, pseudovectors and contravariant vectors. The latter of these two, in plane-based GA, map to the concepts of "rotation axis" and "point", with the distinction between them being made clear by the notation: rotation axes such as (two lower indices) are always notated differently than points such as (three lower indices).
All objects considered below are still "vectors" in the technical sense that they are elements of vector spaces; however they are not (generally) vectors in the sense that one could meaningfully take their cross product - so it is not informative to visualize them as arrows. To avoid conflict over different algebraic and visual connotations coming from the word 'vector', this article will avoid the use of the word.
Construction
Plane-based geometric algebra starts with planes and then constructs lines and points by taking intersections of planes. Its canonical basis consists of the plane such that , which is labelled , the , which is labelled , and the plane, .
Other planes may be obtai
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https://en.wikipedia.org/wiki/Blind%20polytope
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In geometry, a Blind polytope is a convex polytope composed of regular polytope facets.
The category was named after the German couple Gerd and Roswitha Blind, who described them in a series of papers beginning in 1979.
It generalizes the set of semiregular polyhedra and Johnson solids to higher dimensions.
Uniform cases
The set of convex uniform 4-polytopes (also called semiregular 4-polytopes) are completely known cases, nearly all grouped by their Wythoff constructions, sharing symmetries of the convex regular 4-polytopes and prismatic forms.
Set of convex uniform 5-polytopes, uniform 6-polytopes, uniform 7-polytopes, etc are largely enumerated as Wythoff constructions, but not known to be complete.
Other cases
Pyramidal forms: (4D)
(Tetrahedral pyramid, ( ) ∨ {3,3}, a tetrahedron base, and 4 tetrahedral sides, a lower symmetry name of regular 5-cell.)
Octahedral pyramid, ( ) ∨ {3,4}, an octahedron base, and 8 tetrahedra sides meeting at an apex.
Icosahedral pyramid, ( ) ∨ {3,5}, an icosahedron base, and 20 tetrahedra sides.
Bipyramid forms: (4D)
Tetrahedral bipyramid, { } + {3,3}, a tetrahedron center, and 8 tetrahedral cells on two side.
(Octahedral bipyramid, { } + {3,4}, an octahedron center, and 8 tetrahedral cells on two side, a lower symmetry name of regular 16-cell.)
Icosahedral bipyramid, { } + {3,5}, an icosahedron center, and 40 tetrahedral cells on two sides.
Augmented forms: (4D)
Rectified 5-cell augmented with one octahedral pyramid, adding one vertex for 13 total. It retains 5 tetrahedral cells, reduced to 4 octahedral cells and adds 8 new tetrahedral cells.
Convex Regular-Faced Polytopes
Blind polytopes are a subset of convex regular-faced polytopes (CRF).
This much larger set allows CRF 4-polytopes to have Johnson solids as cells, as well as regular and semiregular polyhedral cells.
For example, a cubic bipyramid has 12 square pyramid cells.
References
</ref>
External links
Blind polytope
Convex regular-faced polytopes
Polytopes
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https://en.wikipedia.org/wiki/S2S%20%28mathematics%29
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In mathematics, S2S is the monadic second order theory with two successors. It is one of the most expressive natural decidable theories known, with many decidable theories interpretable in S2S. Its decidability was proved by Rabin in 1969.
Basic properties
The first order objects of S2S are finite binary strings. The second order objects are arbitrary sets (or unary predicates) of finite binary strings. S2S has functions s→s0 and s→s1 on strings, and predicate s∈S (equivalently, S(s)) meaning string s belongs to set S.
Some properties and conventions:
By default, lowercase letters refer to first order objects, and uppercase to second order objects.
The inclusion of sets makes S2S second order, with "monadic" indicating absence of k-ary predicate variables for k>1.
Concatenation of strings s and t is denoted by st, and is not generally available in S2S, not even s→0s. The prefix relation between strings is definable.
Equality is primitive, or it can be defined as s = t ⇔ ∀S (S(s) ⇔ S(t)) and S = T ⇔ ∀s (S(s) ⇔ T(s)).
In place of strings, one can use (for example) natural numbers with n→2n+1 and n→2n+2 but no other operations.
The set of all binary strings is denoted by {0,1}*, using Kleene star.
Arbitrary subsets of {0,1}* are sometimes identified with trees, specifically as a {0,1}-labeled tree {0,1}*; {0,1}* forms a complete infinite binary tree.
For formula complexity, the prefix relation on strings is typically treated as first order. Without it, not all formulas would be equivalent to Δ12 formulas.
For properties expressible in S2S (viewing the set of all binary strings as a tree), for each node, only O(1) bits can be communicated between the left subtree and the right subtree and the rest (see communication complexity).
For a fixed k, a function from strings to k (i.e. natural numbers below k) can be encoded by a single set. Moreover, s,t ⇒ s01t where t doubles every character of t is injective, and s ⇒ {s01t: t∈{0,1}*} is S2S definable. By contrast, by a communication complexity argument, in S1S (below) a pair of sets is not encodable by a single set.
Weakenings of S2S: Weak S2S (WS2S) requires all sets to be finite (note that finiteness is expressible in S2S using Kőnig's lemma). S1S can be obtained by requiring that '1' does not appear in strings, and WS1S also requires finiteness. Even WS1S can interpret Presburger arithmetic with a predicate for powers of 2, as sets can be used to represent unbounded binary numbers with definable addition.
Decision complexity
S2S is decidable, and each of S2S, S1S, WS2S, WS1S has a nonelementary decision complexity corresponding to a linearly growing stack of exponentials. For the lower bound, it suffices to consider Σ11 WS1S sentences. A single second order quantifier can be used to propose an arithmetic (or other) computation, which can be verified using first order quantifiers if we can test which numbers are equal. For this, if we appropriately encode numbers 1..m, we
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https://en.wikipedia.org/wiki/Tetrahedral%20bipyramid
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In 4-dimensional geometry, the tetrahedral bipyramid is the direct sum of a tetrahedron and a segment, {3,3} + { }. Each face of a central tetrahedron is attached with two tetrahedra, creating 8 tetrahedral cells, 16 triangular faces, 14 edges, and 6 vertices,. A tetrahedral bipyramid can be seen as two tetrahedral pyramids augmented together at their base.
It is the dual of a tetrahedral prism, , so it can also be given a Coxeter-Dynkin diagram, , and both have Coxeter notation symmetry [2,3,3], order 48.
Being convex with all regular cells (tetrahedra) means that it is a Blind polytope.
This bipyramid exists as the cells of the dual of the uniform rectified 5-simplex, and rectified 5-cube or the dual of any uniform 5-polytope with a tetrahedral prism vertex figure. And, as well, it exists as the cells of the dual to the rectified 24-cell honeycomb.
See also
Triangular bipyramid - A lower dimensional analogy of the tetrahedral bipyramid.
Octahedral bipyramid - A lower symmetry form of the as 16-cell.
Cubic bipyramid
Dodecahedral bipyramid
Icosahedral bipyramid
References
4-polytopes
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https://en.wikipedia.org/wiki/Icosahedral%20bipyramid
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In 4-dimensional geometry, the icosahedral bipyramid is the direct sum of a icosahedron and a segment, {3,5} + { }. Each face of a central icosahedron is attached with two tetrahedra, creating 40 tetrahedral cells, 80 triangular faces, 54 edges, and 14 vertices. An icosahedral bipyramid can be seen as two icosahedral pyramids augmented together at their bases.
It is the dual of a dodecahedral prism, Coxeter-Dynkin diagram , so the bipyramid can be described as . Both have Coxeter notation symmetry [2,3,5], order 240.
Having all regular cells (tetrahedra), it is a Blind polytope.
See also
Pentagonal bipyramid - A lower dimensional analogy
Tetrahedral bipyramid
Octahedral bipyramid - A lower symmetry form of the as 16-cell.
Cubic bipyramid
Dodecahedral bipyramid
References
External links
Icosahedral tegum
4-polytopes
|
https://en.wikipedia.org/wiki/Dodecahedral%20bipyramid
|
In 4-dimensional geometry, the dodecahedral bipyramid is the direct sum of a dodecahedron and a segment, {5,3} + { }. Each face of a central dodecahedron is attached with two pentagonal pyramids, creating 24 pentagonal pyramidal cells, 72 isosceles triangular faces, 70 edges, and 22 vertices. A dodecahedral bipyramid can be seen as two dodecahedral pyramids augmented together at their base.
It is the dual of a icosahedral prism.
See also
Tetrahedral bipyramid
Cubic bipyramid
Icosahedral bipyramid
References
External links
Dodecahedral tegum
4-polytopes
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https://en.wikipedia.org/wiki/Jean-Philippe%20Omotunde
|
Nioussérê Kalala Omotunde, born Jean-Philippe Corvo, (19 July 1967 – 14 November 2022) was a Guadeloupean writer, Egyptologist, and specialist in classical African mathematics. He founded the Anyjart Institute of African History based in Guadeloupe, as well as satellite institutes in Canada, Guyana, Martinique, and Haiti. Via his institute, Omotunde worked tirelessly to empower Africans, particularly the Black youth in the diaspora and beyond by teaching African history, origin, and ancestors. Omotunde was also of Project Manager at UNESCO, and was influenced by Cheikh Anta Diop.
Biography
Omotunde earned a degree from the École de publicité de Paris and became a teacher at the Institut Africamaat. He made an appearance at the UNESCO event "Africa Week" on 22 May 2017 with the theme "Investing in African Youth through Mathematics".
Omotunde rejected his French name to affirm his African roots, taking the name Nioussérê Kalala Omotunde, with Egyptian and Congolese roots. In December 2000, the Regional Council of Île-de-France paid Street Spirit Culture 650,000 CFA francs to organize a Hip-Hop World Cup in Paris.
As head of the Héliopolis association, Omotunde organized a commemoration of the 154th anniversary of the in Garges-lès-Gonesse in the presence of deputy Dominique Strauss-Kahn and mayor Nelly Olin. He expressed his attachment to republican values at the festivities, which took place between the two rounds of the 2002 French presidential election.
Omotunde's works were favored towards Afrocentricité, which sought to counteract the philosophy of Négritude, put forth by Léopold Sédar Senghor and Aimé Césaire.
Nioussérê Kalala Omotunde died in Guadeloupe on 14 November 2022, at the age of 55.
Publications and Media
L'origine négro-africaine du savoir grec (2000)
La traite négrière européenne: vérité & mensonges (2003)
Les racines africaines de la civilisation européenne. (2004)
Les racines africaines de la civilisation européenne. Volume 2 (2004)
Discours afrocentriste sur l'aliénation culturelle (2006)
Les humanités classiques africaines pour les enfants: Volume 1 (2006)
Initiation aux humanités classiques africaines pour les enfants de 7 à 17 ans et + (2006)
Manuel d'études des humanités classiques africaines (2007)
Histoire de l'esclavage: critique du discours eurocentriste (2008)
Qu'est-ce qu'être Kamit(e)? (2010)
L'Afrique Noire : Initiatrice des législateurs antiques (2014)
Le Papyrus D'Ahmès (2015)
Cosmogénèse Kamite - Tome 1 (2015)
Cosmogénèse Kamite - Tome 2 (2015)
La Monnaie au temps des Pharaons: Une antéoriorité africaine (2016)
Cosmogénèse Kamite - Fascicule (2018)
Pélasgia - L'histoire Africaine de l'Europe (2020)
References
2022 deaths
20th-century Cameroonian writers
21st-century Cameroonian writers
Cameroonian male writers
1967 births
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https://en.wikipedia.org/wiki/Jan%20Nekov%C3%A1%C5%99
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Jan Nekovář (1963 – 14 November 2022) was a Czech academic and mathematician who specialized in number theory.
Biography
Nekovář first studied at Charles University in Prague and was an exchange student at Moscow State University from 1984 to 1985. He obtained his doctorate from the Czechoslovak Academy of Sciences in 1991 with a thesis titled Modulární formy necelé váhy. From 1991 to 1993, he was a postdoctoral researcher at the University of California, Berkeley. In 1993, he became an assistant professor at Charles University, where he became a lecturer in 1995. He taught at Christ's College, Cambridge from 1995 to 2002 and subsequently became a professor at Pierre and Marie Curie University.
Nekovář was a visiting researcher at the Steklov Institute of Mathematics from 1988 to 1989, at the Max Planck Institute for Mathematics from 1989 to 1990, at the Isaac Newton Institute in 1998, the École normale supérieure in 1991, as well as the University of Minnesota, the Centre de Recerca Matemàtica, the Fields Institute, and the Erwin Schrödinger International Institute for Mathematical Physics.
Jan Nekovář died in Paris on 14 November 2022, at the age of 59.
Awards
Whitehead Prize (1998)
G. de B. Robinson Award (2014)
Neuron Prize for Important Scientific Discovery (2019)
Publications
"Class numbers of quadratic fields and Shimura's correspondence." (1990)
"On p-adic height pairings" (1991)
Selmer complexes (2006)
"The Euler system method for CM points on Shimura curves" (2007)
"Eichler-Shimura relations and semisimplicity of étale cohomology of quaternionic Shimura varieties" (2018)
"Semisimplicity of certain Galois representations occurring in étale cohomology of unitary Shimura varieties" (2019)
References
1963 births
2022 deaths
Czech mathematicians
Charles University alumni
Academic staff of Charles University
Academic staff of Pierre and Marie Curie University
Moscow State University alumni
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https://en.wikipedia.org/wiki/2019%E2%80%9320%20FC%20Chernihiv%20season
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Players
Squad information
Transfers
In
Out
Statistics
Appearances and goals
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! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
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! colspan=17 style=background:#dcdcdc; text-align:center| Defenders
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! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
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! colspan=16 style=background:#dcdcdc; text-align:center| Forwards
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! colspan=16 style=background:#dcdcdc; text-align:center| Players transferred out during the season
Last updated: 16 November 2022
Goalscorers
Last updated: 15 November 2022
Clean sheets
Last updated: 15 November 2022
References
External links
FC Chernihiv
FC Chernihiv seasons
FC Chernihiv
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