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https://en.wikipedia.org/wiki/Geng%20Xianglong
|
Geng Xianglong (; born 26 June 2003) is a Chinese footballer currently playing as a defender for Ji'nan Xingzhou in China League Two.
Career statistics
Club
.
References
2003 births
Living people
Chinese men's footballers
Men's association football defenders
Nantong Zhiyun F.C. players
21st-century Chinese people
|
https://en.wikipedia.org/wiki/Tohtaji%20Ablikim
|
Tohtaji Ablikim (; born 7 September 2002) is a Chinese footballer currently playing as a midfielders for Nantong Zhiyun.
Career statistics
Club
.
References
2002 births
Living people
Footballers from Xinjiang
Chinese men's footballers
Men's association football midfielders
Nantong Zhiyun F.C. players
|
https://en.wikipedia.org/wiki/Li%20Qinghao
|
Li Qinghao (; born 2 June 1999) is a Chinese footballer currently playing as a left-back for Jiangxi Beidamen.
Career statistics
Club
.
References
1999 births
Living people
Chinese men's footballers
Men's association football midfielders
China League One players
Tianjin Tianhai F.C. players
Dalian Professional F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Zhao%20Yibo
|
Zhao Yibo (; born 14 November 1988) is a Chinese footballer currently playing as a defender for Chinese club Dalian Jinshiwan.
Career statistics
Club
.
Notes
References
1988 births
Living people
Sportspeople from Anshan
Footballers from Liaoning
Chinese men's footballers
Men's association football defenders
China League One players
Shenyang Zhongze F.C. players
Dalian Transcendence F.C. players
Guangdong South China Tiger F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Zhu%20Mingxin
|
Zhu Mingxin (; born 16 May 1999) is a Chinese professional footballer who plays for Guangxi Pingguo Haliao, on loan from Changchun Yatai, as a defender.
Career statistics
.
References
1999 births
Living people
Chinese men's footballers
Changchun Yatai F.C. players
Jiangxi Lushan F.C. players
China League One players
Men's association football defenders
Guangxi Pingguo Haliao F.C. players
|
https://en.wikipedia.org/wiki/Zhang%20Kaiming
|
Zhang Kaiming (; born 17 May 1990) is a Chinese footballer currently playing as a defender for Dalian Zhixing.
Career statistics
Club
.
Notes
References
1990 births
Living people
Chinese men's footballers
Men's association football defenders
China League One players
China League Two players
Jiangxi Lushan F.C. players
Hainan Boying F.C. players
|
https://en.wikipedia.org/wiki/Zhang%20Yujie
|
Zhang Yujie (; born 18 March 2002) is a Chinese footballer currently playing as a midfielder for Kunshan.
Career statistics
Club
.
Notes
References
2002 births
Living people
Chinese men's footballers
Men's association football midfielders
China League Two players
Guangzhou F.C. players
Hubei Istar F.C. players
|
https://en.wikipedia.org/wiki/Zhang%20Gen
|
Zhang Gen (; born 5 May 1987) is a Chinese footballer currently playing as a midfielder for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1987 births
Living people
Chinese men's footballers
Men's association football midfielders
China League One players
China League Two players
Chongqing F.C. players
Hebei F.C. players
Yancheng Luzhiying F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Zhou%20Yuye
|
Zhou Yuye (; born 12 December 2000) is a Chinese footballer currently playing as a defender for Wuxi Wugou.
Career statistics
Club
.
Notes
References
2000 births
Living people
Chinese men's footballers
Men's association football defenders
China League One players
Mito HollyHock players
Jiangxi Lushan F.C. players
Chinese expatriate sportspeople in Japan
Expatriate men's footballers in Japan
|
https://en.wikipedia.org/wiki/Geng%20Zhiqing
|
Geng Zhiqing (; born 10 September 1991) is a Chinese footballer currently playing as a defender for Chinese club Hefei City.
Career statistics
Club
.
Notes
References
1991 births
Living people
Footballers from Dalian
Footballers from Liaoning
Chinese men's footballers
Men's association football defenders
China League One players
China League Two players
Shaoxing Keqiao Yuejia F.C. players
Jiangxi Lushan F.C. players
21st-century Chinese people
|
https://en.wikipedia.org/wiki/Bence%20%C3%96tv%C3%B6s
|
Bence Ötvös (born 13 March 1998) is a Hungarian professional footballer who plays for Kisvárda FC.
Career statistics
.
References
1998 births
Living people
Footballers from Nyíregyháza
Hungarian men's footballers
Men's association football midfielders
Nyíregyháza Spartacus FC players
Cigánd SE players
Kisvárda FC players
Nemzeti Bajnokság I players
|
https://en.wikipedia.org/wiki/Zhu%20Jiaqi
|
Zhu Jiaqi (; born 1 June 1993) is a Chinese footballer currently playing as a goalkeeper for Chinese Club Baoding Xuecheng Athletic.
Career statistics
Club
.
Notes
References
1993 births
Living people
Chinese men's footballers
Men's association football goalkeepers
China League Two players
China League One players
Shenyang Zhongze F.C. players
Shenzhen Fengpeng F.C. players
Cangzhou Mighty Lions F.C. players
Yinchuan Helanshan F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Wei%20Jingxing
|
Wei Jingxing (; born 18 March 1993) is a Chinese footballer currently playing as a forward for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1993 births
Living people
Chinese men's footballers
Men's association football forwards
China League Two players
China League One players
Shaanxi Wuzhou F.C. players
Shenzhen F.C. players
Shanghai Sunfun F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Xu%20Chen%20%28footballer%29
|
Xu Chen (; born 11 November 1991) is a Chinese footballer currently playing as a forward for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1991 births
Living people
Footballers from Dalian
Footballers from Liaoning
Chinese men's footballers
Men's association football forwards
China League One players
China League Two players
Beijing Sport University F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Yuan%20Mingcan
|
Yuan Mingcan (; born 12 December 1989) is a Chinese footballer currently playing as a midfielder for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1989 births
Living people
Chinese men's footballers
Men's association football midfielders
China League Two players
China League One players
Wuhan Yangtze River F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Ye%20Ruiheng
|
Ye Ruiheng (; born 26 May 1998) is a Chinese footballer currently playing as a goalkeeper for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1998 births
Living people
Footballers from Guangdong
Chinese men's footballers
Men's association football goalkeepers
China League Two players
China League One players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Wu%20Minfeng
|
Wu Minfeng (; born 24 January 1999) is a Chinese footballer currently playing as a midfielder for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1999 births
Living people
Chinese men's footballers
Men's association football midfielders
China League One players
Guangdong South China Tiger F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Yan%20Ge%20%28footballer%29
|
Yan Ge (; born 28 January 1994) is a Chinese footballer currently playing as a midfielder for Hefei City.
Career statistics
Club
.
Notes
References
1994 births
Living people
Chinese men's footballers
Men's association football midfielders
China League Two players
China League One players
Shanghai Shenhua F.C. players
Inner Mongolia Caoshangfei F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Zhou%20Xuezhong
|
Zhou Xuezhong (; born 16 January 1994) is a Chinese footballer currently playing as a forward for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1994 births
Living people
Footballers from Henan
Chinese men's footballers
Men's association football forwards
China League Two players
China League One players
Henan F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Sun%20Dong%20%28footballer%29
|
Sun Dong (; born 3 January 1992) is a Chinese footballer currently playing as a midfielder for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1992 births
Living people
Chinese men's footballers
Men's association football midfielders
China League Two players
China League One players
Shandong Taishan F.C. players
Shandong Tengding F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Gao%20Ming%20%28footballer%2C%20born%201998%29
|
Gao Ming (; born 2 January 1998) is a Chinese footballer currently playing as a midfielder for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1998 births
Living people
Chinese men's footballers
Men's association football midfielders
China League One players
Wuhan Yangtze River F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Pedro%20Hern%C3%A1ndez%20Garc%C3%ADa
|
Pedro Hernández García (born 31 October 2000) is a Mexican professional footballer who plays as a centre-back for Liga MX club León.
Career statistics
Club
Honours
León
Liga MX: Guardianes 2020
CONCACAF Champions League: 2023
References
External links
Living people
2000 births
Men's association football defenders
Club León footballers
Liga MX players
Footballers from Monterrey
Footballers from Nuevo León
Mexican men's footballers
|
https://en.wikipedia.org/wiki/Jesse%20Zamudio
|
Jesse Zamudio García (born 8 March 1999) is a Mexican professional footballer who plays as a midfielder for Liga MX club León.
Career statistics
Club
Honours
León
Liga MX: Guardianes 2020
Leagues Cup: 2021
Morelia
Liga de Expansión MX: Clausura 2022
References
External links
Living people
1999 births
Mexican men's footballers
Men's association football midfielders
Atlético Morelia players
Club León footballers
Liga MX players
Footballers from Guanajuato
|
https://en.wikipedia.org/wiki/Liu%20Wenjie%20%28footballer%29
|
Liu Wenjie (; born 27 September 2001) is a Chinese footballer currently playing as a forward for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
2001 births
Living people
Chinese men's footballers
Men's association football forwards
China League One players
Guangzhou City F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Wang%20Bojun
|
Wang Bojun (; born 2 March 1991) is a Chinese footballer currently playing as a midfielder for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1991 births
Living people
Chinese men's footballers
Men's association football midfielders
China League Two players
China League One players
Chengdu Qbao F.C. players
Anhui Hefei Guiguan F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Yang%20Siping
|
Yang Siping (; born 14 February 1995) is a Chinese footballer currently playing as a midfielder for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1995 births
Living people
Chinese men's footballers
Men's association football midfielders
China League Two players
China League One players
Shanghai JuJu Sports F.C. players
Yunnan Flying Tigers F.C. players
Lhasa Urban Construction Investment F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Liu%20Yuchen%20%28footballer%29
|
Liu Yuchen (; born 3 January 1989) is a Chinese footballer currently playing as a left-back for Dalian Zhixing.
Career statistics
Club
.
Notes
References
1989 births
Living people
Chinese men's footballers
Men's association football defenders
China League Two players
China League One players
Shaanxi Wuzhou F.C. players
Dalian Transcendence F.C. players
Shaoxing Keqiao Yuejia F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Peng%20Hao%20%28footballer%2C%20born%201993%29
|
Peng Hao (; born 18 October 1993) is a Chinese footballer currently playing as a goalkeeper for Jiangxi Beidamen.
Career statistics
Club
.
Notes
References
1993 births
Living people
Chinese men's footballers
Men's association football goalkeepers
China League Two players
Zhejiang Professional F.C. players
Jiangxi Lushan F.C. players
|
https://en.wikipedia.org/wiki/Li%20Biao
|
Li Biao (; born 12 December 1997) is a Chinese footballer currently playing as a midfielder for Hubei Istar.
Career statistics
Club
.
Notes
References
1997 births
Living people
Footballers from Yunnan
Chinese men's footballers
Men's association football midfielders
Shaoxing Keqiao Yuejia F.C. players
Gondomar S.C. players
F.C. Maia players
Chinese expatriate men's footballers
Chinese expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
|
https://en.wikipedia.org/wiki/Zhang%20Ruijie
|
Zhang Ruijie (; born 8 January 2001) is a Chinese footballer currently playing as a midfielder for Hubei Istar.
Career statistics
Club
.
Notes
References
2001 births
Living people
Chinese men's footballers
Men's association football midfielders
Atlético Madrid footballers
Gondomar S.C. players
Hubei Istar F.C. players
Chinese expatriate men's footballers
Chinese expatriate sportspeople in Spain
Expatriate men's footballers in Spain
Chinese expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
|
https://en.wikipedia.org/wiki/Abdullahi%20Sheikh%20Mohamed
|
Abdullahi Sheikh Mohamed (; born 30 November 1982) is a Somali former footballer. With 3 international goals, he is the all-time top scorer for the Somalia national football team.
Career statistics
International
International goals
Scores and results list Somalia's goal tally first.
References
1982 births
Living people
Men's association football midfielders
Somalian men's footballers
Somalia men's international footballers
Elman FC players
Place of birth missing (living people)
|
https://en.wikipedia.org/wiki/Mohamed%20Ali%20Abdiaziz
|
Mohamed Ali Abdiaziz (; born 3 April 1992) is a Somali former footballer.
Career statistics
International
International goals
Scores and results list Somalia's goal tally first.
References
1992 births
Living people
Men's association football forwards
Somalian men's footballers
Somalia men's international footballers
Place of birth missing (living people)
|
https://en.wikipedia.org/wiki/Abubakar%20Nur%20Abdikarim
|
Abubakar Nur Abdikarim (; born 13 May 1992) is a Somali former footballer.
Career statistics
International
References
1992 births
Living people
Men's association football defenders
Somalian men's footballers
Somalia men's international footballers
Place of birth missing (living people)
|
https://en.wikipedia.org/wiki/Mahad%20Mohamed%20Haji
|
Mahad Mohamed Haji (; born 11 April 1996) is a Somali former footballer.
Career statistics
International
References
1996 births
Living people
Men's association football defenders
Somalian men's footballers
Somalia men's international footballers
Place of birth missing (living people)
|
https://en.wikipedia.org/wiki/Mohamed%20Ali%20Osman
|
Mohamed Ali Osman (; born unknown) is a Somali former footballer.
Career statistics
International
International goals
Scores and results list Somalia's goal tally first.
References
Date of birth unknown
Living people
Men's association football midfielders
Somalian men's footballers
Somalia men's international footballers
Somalian expatriate men's footballers
Expatriate men's footballers in Kuwait
Year of birth missing (living people)
Place of birth missing (living people)
|
https://en.wikipedia.org/wiki/Adolfo%20Rumbos
|
Adolfo J. Rumbos is an American mathematician whose research interests include nonlinear analysis and boundary value problems. He is the Joseph N. Fiske Professor of Mathematics at Pomona College in Claremont, California.
References
External links
Faculty page at Pomona College
Year of birth missing (living people)
Living people
Pomona College faculty
American mathematicians
|
https://en.wikipedia.org/wiki/Abel%20Nazario%20%28footballer%29
|
Víctor Abel Nazario Brun (born 12 January 1983) is a Uruguayan former footballer.
Career statistics
Club
Notes
References
1983 births
Living people
People from Melo, Uruguay
Men's association football defenders
Uruguayan men's footballers
Uruguayan Primera División players
Venezuelan Primera División players
China League One players
Uruguayan Segunda División players
Cerro Largo F.C. players
Montevideo Wanderers F.C. players
Caracas FC players
Beijing Institute of Technology F.C. players
Uruguayan expatriate men's footballers
Uruguayan expatriate sportspeople in Venezuela
Expatriate men's footballers in Venezuela
Uruguayan expatriate sportspeople in China
Expatriate men's footballers in China
|
https://en.wikipedia.org/wiki/Exequiel%20Mereles
|
Exequiel Mereles de la Quintana (born 16 September 2005) is a Uruguayan footballer who plays as a forward for Atenas.
Career statistics
Club
Notes
References
2005 births
Living people
People from San Carlos, Uruguay
Footballers from Maldonado Department
Men's association football forwards
Uruguayan men's footballers
Uruguayan Segunda División players
Atenas de San Carlos players
|
https://en.wikipedia.org/wiki/Won%20Tae-yeon%20%28footballer%29
|
Won Tae-yeon (; born 11 May 1990) is a Korean former footballer.
Career statistics
Club
Notes
References
1990 births
Living people
Sungkyunkwan University alumni
South Korean men's footballers
Men's association football forwards
China League One players
Gyeongnam FC players
Yanbian Funde F.C. players
Gangneung Citizen FC players
South Korean expatriate men's footballers
South Korean expatriate sportspeople in China
Expatriate men's footballers in China
|
https://en.wikipedia.org/wiki/Liu%20Xuanchen
|
Liu Xuanchen (; born 16 February 1997) is a Chinese footballer who currently plays for Qingdao Red Lions in China League Two.
Career statistics
Club
.
Notes
References
1997 births
Living people
Footballers from Qingdao
Footballers from Shandong
Chinese men's footballers
Men's association football forwards
China League One players
Tianjin Tianhai F.C. players
Xinjiang Tianshan Leopard F.C. players
Guizhou F.C. players
21st-century Chinese people
|
https://en.wikipedia.org/wiki/Kobena%20Amed
|
Kobena Amed (born 10 November 1997) is an Ivorian footballer who currently plays for Omani side Al Taleiah.
Career statistics
Club
Notes
References
1997 births
Living people
Footballers from Abidjan
Ivorian men's footballers
Men's association football forwards
China League One players
Xinjiang Tianshan Leopard F.C. players
Ivorian expatriate men's footballers
Expatriate men's footballers in China
Ivorian expatriate sportspeople in China
Expatriate men's footballers in Oman
Ivorian expatriate sportspeople in Oman
|
https://en.wikipedia.org/wiki/Jhon%20Valoy
|
Jhon Edwar Valoy Riascos (born 26 July 1991) is a Colombian former footballer.
Career statistics
Club
Notes
References
1991 births
Living people
Colombian men's footballers
Men's association football midfielders
Categoría Primera A players
China League One players
Centauros Villavicencio footballers
Deportes Quindío footballers
Atlético Nacional footballers
Once Caldas footballers
Hunan Billows F.C. players
Colombian expatriate men's footballers
Colombian expatriate sportspeople in China
Expatriate men's footballers in China
Colombian expatriate sportspeople in El Salvador
Expatriate men's footballers in El Salvador
Footballers from Cali
|
https://en.wikipedia.org/wiki/Chris%20Shimbayev
|
Chris Tavershima Shimbayev (born 28 December 2001) is a Nigerian footballer.
Career statistics
Club
Notes
References
2001 births
Living people
Nigerian men's footballers
Men's association football forwards
China League One players
Suzhou Dongwu F.C. players
Nigerian expatriate men's footballers
Expatriate men's footballers in China
Nigerian expatriate sportspeople in China
|
https://en.wikipedia.org/wiki/Lentz%27s%20algorithm
|
In mathematics, Lentz's algorithm is an algorithm to evaluate continued fractions and compute tables of spherical Bessel functions.
The version usually employed now is due to Thompson and Barnett.
History
The idea was introduced in 1973 by William J. Lentz and was simplified by him in 1982. Lentz suggested that calculating ratios of spherical Bessel functions of complex arguments can be difficult. He developed a new continued fraction technique for calculating the ratios of spherical Bessel functions of consecutive order. This method was an improvement compared to other methods because it started from the beginning of the continued fraction rather than the tail, had a built-in check for convergence, and was numerically stable. The original algorithm uses algebra to bypass a zero in either the numerator or denominator. Simpler Improvements to overcome unwanted zero terms include an altered recurrence relation suggested by Jaaskelainen and Ruuskanen in 1981 or a simple shift of the denominator by a very small number as suggested by Thompson and Barnett in 1986.
Initial work
This theory was initially motivated by Lentz's need for accurate calculation of ratios of spherical Bessel function necessary for Mie scattering. He created a new continued fraction algorithm that starts from the beginning of the continued fraction and not at the tail-end. This eliminates guessing how many terms of the continued fraction are needed for convergence. In addition, continued fraction representations for both ratios of Bessel functions and spherical Bessel functions of consecutive order themselves can be computed with Lentz's algorithm. The algorithm suggested that it is possible to terminate the evaluation of continued fractions when is relatively small.
Algorithm
Lentz's algorithm is based on the Wallis-Euler relations. If
etc., or using the big-K notation, if
is the th convergent to then
where and are given by the Wallis-Euler recurrence relations
Lentz's method defines
so that the th convergent is
and uses the recurrence relations
When the product approaches unity with increasing , it is hoped that has converged to .
Applications
Lentz's algorithm was used widely in the late twentieth century. It was suggested that it doesn't have any rigorous analysis of error propagation. However, a few empirical tests suggest that it's at least as good as the other methods. As an example, it was applied to evaluate exponential integral functions. This application was then called modified Lentz algorithm. It's also stated that the Lentz algorithm is not applicable for every calculation, and convergence can be quite rapid for some continued fractions and vice versa for others.
References
Special hypergeometric functions
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https://en.wikipedia.org/wiki/Ad%C3%A9lia%20Sequeira
|
Adélia da Costa Sequeira is a Portuguese applied mathematician specializing in the mathematical modeling of blood flow and the circulatory system. She is a professor of mathematics at the Instituto Superior Técnico, part of the University of Lisbon, where she is coordinator for the Scientific Area on Numerical Analysis and Applied Analysis and director of the Research Center for Computational and Stochastic Mathematics.
Education
Sequeira earned a doctorat de troisième cycle in France in 1981, at Pierre and Marie Curie University, in numerical analysis. Her dissertation, Couplage entre la méthode des éléments finis et la méthode des équations integrales: application au problème de Stokes stationnaire dans le plan, was supervised by Jean-Claude Nédélec. She has a second doctorate in mathematics, earned in 1985 at the University of Lisbon, where she also earned a habilitation in 2001.
Books
Sequeira is a coauthor of the book Hemomath: the Mathematics of Blood (Springer, 2017), and is the editor of several edited volumes.
Recognition
She is a corresponding member of the Lisbon Academy of Sciences, elected in 2018.
References
External links
Adélia Sequeira, Mulheres na ciência, Portuguese Agency of Science and Technology "Ciência Viva"
Year of birth missing (living people)
Living people
20th-century Portuguese mathematicians
Women mathematicians
Applied mathematicians
University of Lisbon alumni
Academic staff of the University of Lisbon
21st-century Portuguese mathematicians
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https://en.wikipedia.org/wiki/Lee%20Kwang-jun
|
Lee Kwang-jun (; born 6 January 1996) is a South Korean footballer currently playing as a centre-back for Pohang Steelers.
Career statistics
Club
Notes
References
1996 births
Living people
Dankook University alumni
South Korean men's footballers
Men's association football defenders
K League 1 players
K3 League players
Pohang Steelers players
Daejeon Hana Citizen players
Gimhae FC players
|
https://en.wikipedia.org/wiki/Park%20Jae-woo
|
Park Jae-woo (; born 6 March 1998) is a South Korean footballer currently playing as a right-back for Gimpo FC.
Career statistics
Club
Notes
References
1998 births
Living people
People from Jinju
Sungkyunkwan University alumni
South Korean men's footballers
Men's association football defenders
K League 1 players
K League 2 players
Pohang Steelers players
|
https://en.wikipedia.org/wiki/Morrison%20Hashii
|
is a Japanese footballer who plays for Basingstoke Town.
College career
Hashii represented the Hinds Community College in 2019, scoring seven goals in 12 games.
Career statistics
Club
.
Notes
References
External links
Morrison Hashii at the Hinds Community College
2001 births
Living people
Association football people from Tottori Prefecture
Hinds Community College alumni
Japanese men's footballers
Japanese expatriate men's footballers
Men's association football forwards
Singapore Premier League players
Gainare Tottori players
Albirex Niigata Singapore FC players
Basingstoke Town F.C. players
Japanese expatriate sportspeople in the United States
Expatriate men's soccer players in the United States
Japanese expatriate sportspeople in the United Arab Emirates
Expatriate men's footballers in the United Arab Emirates
Japanese expatriate sportspeople in Singapore
Expatriate men's footballers in Singapore
|
https://en.wikipedia.org/wiki/Kim%20Kyu-pyo
|
Kim Kyu-pyo (; born 8 February 1999) is a South Korean footballer currently playing as a midfielder for Hwaseong FC in the K3 League.
Career statistics
Club
Notes
References
1999 births
Living people
Sungkyunkwan University alumni
South Korean men's footballers
Men's association football midfielders
K League 2 players
Jeonnam Dragons players
Pohang Steelers players
Gyeongnam FC players
|
https://en.wikipedia.org/wiki/Ana%20Bela%20Cruzeiro
|
Ana Bela Cruzeiro (born 1957) is a Portuguese and Swiss mathematician whose research concerns stochastic analysis and the Malliavin calculus, as well as the differential equations used to model fluid dynamics and quantum mechanics. She is a professor of mathematics at the Instituto Superior Técnico, part of the University of Lisbon.
Education and career
After earning a master's degree in mathematics at the University of Lisbon in 1980, Cruzeiro studied mathematics at Pierre and Marie Curie University in Paris, earning a diplôme d'études approfondies in 1982, a doctorat de troisième cycle in 1983, and a doctorat d'état in 1985. Her 1985 doctoral dissertation, Equations différentielles ordinaires et équations différentielles stochastiques sur l'espace de Wiener, was supervised by Paul Malliavin. She also earned a habilitation (agregação) at the University of Lisbon in 1991.
She has been on the faculty of the University of Lisbon since 1986, and became a full professor there in 2002.
Recognition
Cruzeiro is a corresponding member of the Lisbon Academy of Sciences, elected in 2020.
References
External links
Home page
1957 births
Living people
20th-century Portuguese mathematicians
21st-century Portuguese mathematicians
Women mathematicians
University of Lisbon alumni
Academic staff of the University of Lisbon
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https://en.wikipedia.org/wiki/Origamics
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Origamics: Mathematical Explorations Through Paper Folding is a book on the mathematics of paper folding by , a Japanese retired biology professor. It was edited and translated into English by Josefina C. Fonacier and Masami Isoda, based on material published in several Japanese-language books by Haga, and published in 2008 by World Scientific. The title is a portmanteau of "origami" and "mathematics", coined in the 1990s by Haga to describe the type of paper-folding mathematical exploration that would later be described in this book.
Topics
Although much of its content involves folding square sheets of origami paper, the book focuses on mathematical explorations developing from folding and unfolding paper rather than on the traditional use of origami to create paper figures and artworks. It is divided into ten chapters, exploring concepts in paper folding that are "so simple that they could be discovered by middle- or high-school students".
The book begins with the exploration of a single fold of a corner of a square to a midpoint of an opposite edge, and its analysis involving the geometry of the 3–4–5 right triangle. Later explorations (sometimes presented with colorful stories of knights and princesses as motivation) concern folding one or more corners of the square to other points on the square, similar folds on paper with the shape of a silver rectangle (such as A4 letter paper), the interactions of the fold lines produced in this way, and the use of these folds to obtain subdivisions of the interval into different numbers of parts.
Audience and reception
The book is primarily aimed at secondary-school mathematics teachers, and reviewer Gertraud Ehrig suggests that this book would be particularly helpful for them in providing inspiration for activities for their students.
Although the many activities discussed throughout the book are suitable for discovery learning by students, it also includes more technical material proving the mathematical insights found through these activities. These parts use only elementary methods in Euclidean geometry, such as the Pythagorean theorem and the use of triangle centers, and may be best omitted when presenting this material to students.
References
Mathematics books
Paper folding
2008 non-fiction books
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https://en.wikipedia.org/wiki/Brian%20Rubio
|
Brian Alejandro Rubio Rodríguez (born 9 November 1996) is a Mexican professional footballer who plays as a forward for Liga MX club León, on loan from Mazatlán.
Career statistics
Honours
León
CONCACAF Champions League: 2023
References
External links
Living people
1996 births
Mexican men's footballers
Footballers from Guadalajara, Jalisco
Men's association football forwards
C.S. Herediano footballers
Deportivo Toluca F.C. players
FC Juárez footballers
Liga MX players
Liga FPD players
Liga Premier de México players
Mazatlán F.C. footballers
Mexican expatriate men's footballers
Mexican expatriate sportspeople in Costa Rica
Expatriate men's footballers in Costa Rica
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https://en.wikipedia.org/wiki/Iv%C3%A1n%20Moreno%20%28Mexican%20footballer%29
|
Iván Jared Moreno Füguemann (born 17 January 1998) is a Mexican professional footballer who plays as a defender for Liga MX club León.
Career statistics
Club
Honours
León
CONCACAF Champions League: 2023
Individual
CONCACAF Champions League Best XI: 2023
References
External links
Living people
1998 births
Men's association football midfielders
Atlético Zacatepec players
Club América footballers
Liga MX players
Mazatlán F.C. footballers
Footballers from Puebla
Sportspeople from Puebla (city)
Mexican men's footballers
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https://en.wikipedia.org/wiki/Ricardo%20Daniel%20Guti%C3%A9rrez
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Ricardo Daniel Gutiérrez Hernández (born 17 June 1997) is a Mexican professional footballer who plays as a goalkeeper for Liga MX club Mazatlán.
Career statistics
References
External links
Living people
1997 births
Men's association football goalkeepers
Liga MX players
Mazatlán F.C. footballers
Atlético Morelia players
Footballers from Michoacán
Mexican men's footballers
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https://en.wikipedia.org/wiki/Zhilan%20Feng
|
Zhilan Julie Feng (born 1959) is a Chinese-American applied mathematician whose research topics include mathematical biology, population dynamics, and epidemiology. She is a professor of mathematics at Purdue University, and a program director in the Division of Mathematical Sciences at the National Science Foundation.
Education and career
Feng studied mathematics at Jilin University in China, earning a bachelor's degree in 1982 and a master's degree in 1985. She came to Arizona State University for graduate study, completing her Ph.D. in 1994. Her dissertation, A Mathematical Model for the Dynamics of Childhood Diseases Under the Impact of Isolation, was supervised by Horst R. Thieme.
After her postdoctoral study at Cornell University, she joined Purdue University as an assistant professor in 1996. She was promoted to full professor in 2005, and became a program director at the National Science Foundation in 2019.
Recognition
Feng was named a Fellow of the American Mathematical Society, in the 2022 class of fellows, "for contributions to applied mathematics, particularly in biology, ecology, and epidemiology".
Books
Feng's books include:
Disease Evolution: Models, Concepts, and Data Analyses (American Mathematical Society, 2006, edited with Ulf Dieckmann and Simon A. Levin)
Applications of Epidemiological Models to Public Health Policymaking: The role of heterogeneity in model predictions (World Scientific, 2014)
Mathematical Models of Plant-Herbivore Interactions (Chapman & Hall / CRC, 2018, with Donald DeAngelis)
Mathematical Models in Epidemiology (Springer, 2019, with Fred Brauer and Carlos Castillo-Chavez)
References
External links
Home page
1959 births
Living people
Chinese biologists
Chinese epidemiologists
Chinese mathematicians
Chinese women biologists
Chinese women mathematicians
American biologists
American epidemiologists
20th-century American mathematicians
21st-century American mathematicians
American women biologists
American women epidemiologists
American women mathematicians
Applied mathematicians
Theoretical biologists
Jilin University alumni
Cornell University alumni
Purdue University faculty
United States National Science Foundation officials
Fellows of the American Mathematical Society
20th-century American women
21st-century American women
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https://en.wikipedia.org/wiki/SuanShu%20numerical%20library
|
SuanShu is a Java math library. It is open-source under Apache License 2.0 available in GitHub. SuanShu is a large collection of Java classes for basic numerical analysis, statistics, and optimization. It implements a parallel version of the adaptive strassen's algorithm for fast matrix multiplication. SuanShu has been quoted and used in a number of academic works.
Features
linear algebra
root finding
curve fitting and interpolation
unconstrained and constrained optimization
statistical analysis
linear regression
probability distributions and random number generation
ordinary and partial differential equation solvers
License terms
SuanShu is released under the terms of the Apache License 2.0
Examples of usage
The following code shows the object-oriented design of the library (in contrast to the traditional procedural design of many other FORTRAN and C numerical libraries) by a simple example of minimization.
LogGamma logGamma = new LogGamma(); // the log-gamma function
BracketSearchMinimizer solver = new BrentMinimizer(1e-8, 10); // precision, max number of iterations
UnivariateMinimizer.Solution soln = solver.solve(logGamma); // optimization
double x_min = soln.search(0, 5); // bracket = [0, 5]
System.out.println(String.format("f(%f) = %f", x_min, logGamma.evaluate(x_min)));
See also
SOCP - Explanation of Second Order Conic Programming
SDP - Explanation of Semidefinite Programming
SQP - Explanation of Sequential quadratic programming
Interior Point Method
Adaptive strassen's algorithm – fast matrix multiplication
Apache License 2.0 - Version 2 of the Apache Software License
References
Numerical libraries
Java (programming language) libraries
Public-domain software with source code
Numerical software
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https://en.wikipedia.org/wiki/Beyond%20Infinity%20%28mathematics%20book%29
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Beyond Infinity : An Expedition to the Outer Limits of Mathematics is a popular mathematics book by Eugenia Cheng centered on concepts of infinity. It was published by Basic Books and (with a slightly different title) by Profile Books in 2017, and in a paperback edition in 2018. It was shortlisted for the 2017 Royal Society Insight Investment Science Book Prize.
Topics
The book is divided into two parts, with the first exploring notions leading to concepts of actual infinity, concrete but infinite mathematical values. After an exploration of number systems, this part discusses set theory, cardinal numbers, and ordinal numbers, transfinite arithmetic, and the existence of different infinite sizes of sets. Topics used to illustrate these concepts include Hilbert's paradox of the Grand Hotel, Cantor's diagonal argument, and the unprovability of the continuum hypothesis.
The second part concerns mathematics related to the idea of potential infinity, the assignment of finite values to the results of infinite processes including growth rates, limits, and infinite series. This part also discusses Zeno's paradoxes, Dedekind cuts, the dimensions of spaces, and the possibility of spaces of infinite dimensions, with a mention of higher category theory, Cheng's research specialty.
The mathematics is frequently lightened and made accessible with personal experiences and stories, involving such subjects as the Loch Ness Monster, puff pastry, boating, dance contests, shoes, "Legos, the iPod Shuffle, snorkeling, Battenberg cakes and Winnie-the-Pooh".
Audience and reception
The Royal Society judges called Beyond Infinity "a very engaging introduction to a forbidding subject". Similarly, reviewer Anne Haworth calls it "engaging and readable", and Wall Street Journal reviewer Sam Kean writes that its "chatty tone keeps things fresh". It is aimed at a popular audience, not assumed to have a significant background in mathematics, including "the young or those brimming with curiosity" as well as college or secondary-school students, although it may be "too elementary for mathematicians or mathematics students".
As similar reading material, reviewer Andrew James Simoson suggests placing this book alongside The Book of Numbers by John Horton Conway and Richard K. Guy (1996),
One Two Three... Infinity by George Gamow (1947), and Really Big Numbers by Richard Schwartz (2014).
References
Popular mathematics books
2017 non-fiction books
Infinity
Basic Books books
Profile Books books
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https://en.wikipedia.org/wiki/Ivan%20%C4%86ubeli%C4%87
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Ivan Ćubelić (born 2 June 2003) is a Croatian footballer currently playing as a midfielder for Hajduk Split. He was included in The Guardian's "Next Generation 2020".
Career statistics
Club
Notes
References
2003 births
Living people
Footballers from Split, Croatia
Men's association football midfielders
Croatian men's footballers
Croatia men's youth international footballers
HNK Hajduk Split II players
HNK Hajduk Split players
NK Dugopolje players
First Football League (Croatia) players
Croatian Football League players
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https://en.wikipedia.org/wiki/Mario%20Mitoi
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Mario Cristian Mitoi (born 13 August 2004) is a Romanian professional footballer who plays as a right winger for Liga II club Argeș Pitești.
Career statistics
Club
References
External links
2004 births
Living people
Romanian men's footballers
Romania men's youth international footballers
Men's association football midfielders
Liga I players
Liga II players
FC Argeș Pitești players
ASC Oțelul Galați players
Footballers from Pitești
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https://en.wikipedia.org/wiki/Statistics%20of%20the%20COVID-19%20pandemic%20in%20Serbia
|
This article consists of various statistical charts related to the ongoing COVID-19 pandemic in Serbia.
Cases
Total confirmed cases
New cases per day
Growth factor
Growth factor is defined as today's new cases/new cases on the previous day. It is indicative of the evolution of the pandemic. A continuously decreasing factor indicates that the pandemic is under control.
Cases by age group
Hospitalized
From June 6 until July 15, official source stopped giving number of hospitalized patients, only number of active ones From 6 June to 15 July this chart shows number of active cases.
Number of people on ventilators
Recoveries
Sudden jump in number of recoveries since 6 June was explained by changed methodology of determining healthy patients, requiring only one negative COVID-19 PCR test, as opposed to two negative test at least 24 hours apart required before.
Testing
Number of daily tests and positive cases
Total tested
Percentage of positive tests
Deaths
Total number of deaths
Number of deaths per day
Deaths by age groups
Average age of deceased on the day
By regions
Number of infected by districts and towns
(*) – include only Serbian communities in Kosovo
Number of self-isolated people by municipalities and towns
Data acquired from the official website.
References
COVID-19 pandemic in Serbia
Serbia
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https://en.wikipedia.org/wiki/Kanato%20Abe
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is a Japanese footballer currently playing as a forward for ReinMeer Aomori, on loan from Montedio Yamagata.
Career statistics
Club
.
Notes
References
External links
Profile at ReinMeer Aomori
2002 births
Living people
Association football people from Fukushima Prefecture
Japanese men's footballers
Men's association football forwards
J2 League players
J3 League players
Japan Football League players
Fukushima United FC players
Montedio Yamagata players
Kamatamare Sanuki players
ReinMeer Aomori players
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https://en.wikipedia.org/wiki/Akiyuki%20Yokoyama
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is a Japanese footballer currently playing as a midfielder for Fujieda MYFC.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Hokuriku University alumni
Japanese men's footballers
Men's association football midfielders
J3 League players
Fujieda MYFC players
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https://en.wikipedia.org/wiki/Yoshie%20Katsurada
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Yoshie Katsurada (, 3 September 1911 – 10 May 1980) was a Japanese mathematician specializing in differential geometry. She became the first Japanese woman to earn a doctorate in mathematics, in 1950, and the first to obtain an imperial university professorship in mathematics, in 1967.
Life
Katsurada was born in Akaigawa, Hokkaido on 3 September 1911, a daughter of an elementary school principal. In high school in Otaru, she took special instruction in mathematics from a boys' mathematics instructor. Graduating from high school in 1929, she began auditing classes at the , a predecessor to the Tokyo University of Science, in 1931.
She began working as an administrative assistant in the Hokkaido University Department of Mathematics in 1936. In 1938 she began study in mathematics at Tokyo Woman's Christian University, withdrawing in 1940 to transfer to Hokkaido University. She graduated from Hokkaido University in 1942, and in the same year became an assistant professor there.
In 1950, she completed a doctorate in mathematics at Hokkaido University, under the supervision of Shoji Kawaguchi, becoming the first Japanese woman to earn a doctorate in mathematics, and earning a promotion to associate professor. She remained at Hokkaido University for the remainder of her career, with research visits to Sapienza University of Rome, ETH Zurich, and the University of California, Berkeley. She was promoted to full professor in 1967, the first female professor in mathematics at a former imperial university.
She retired in 1975, and died on 10 May 1980.
Research
Katsurada's early research, from the beginning of her studies into the mid-1950s, primarily concerned line elements; this was the primary interest of her advisor Shoji Kawaguchi, with whom she continued to collaborate on this subject. After visiting Heinz Hopf at ETH Zurich in 1957–1958, she shifted interests to submanifolds and hypersurfaces in Riemannian manifolds, publishing well-regarded work in this area.
Recognition
Several papers in the 1972 volume of the Hokkaido Mathematical Journal are dedicated to Katsurada in honor of her 60th birthday. Katsurada was given the Hokkaido Culture Award in 1973.
References
1911 births
1980 deaths
Japanese mathematicians
Japanese women mathematicians
Hokkaido University alumni
Academic staff of Hokkaido University
Differential geometers
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https://en.wikipedia.org/wiki/Finding%20Ellipses
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Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other is a mathematics book on "some surprising connections among complex analysis, geometry, and linear algebra", and on the connected ways that ellipses can arise from other subjects of study in all three of these fields. It was written by Ulrich Daepp, Pamela Gorkin, Andrew Shaffer, and Karl Voss, and published in 2019 by the American Mathematical Society and Mathematical Association of America as volume 34 of the Carus Mathematical Monographs, a series of books aimed at presenting technical topics in mathematics to a wide audience.
Topics
Finding Ellipses studies a connection between Blaschke products, Poncelet's closure theorem, and the numerical range of matrices.
A Blaschke product is a rational function that maps the unit disk in the complex plane to itself, and maps some given points within the disk to the origin. In the main case considered by the book, there are three distinct given points , , and , and their Blaschke product has the formula
For this function, each point on the unit circle has three preimages, also on the unit circle. These triples of preimages form triangles inscribed in the unit circle, and (it turns out) they all circumscribe an ellipse with foci at and . Thus, they form an infinite system of polygons inscribed in and circumscribing two conics, which is exactly the kind of system that Poncelet's theorem describes. This theorem states that, whenever one polygon is inscribed in a conic and circumscribes another conic, it is part of an infinite family of polygons of the same type, one through each point of either conic. The family of triangles constructed from the Blaschke product is one of these infinite families of Poncelet's theorem.
The third part of the connection surveyed by the book is the numerical range of a matrix, a region within which the eigenvalues of the matrix can be found. In the case of a complex matrix, the numerical range is an ellipse, by a result commonly called the elliptical range theorem, with the eigenvalues as its foci. For a certain matrix whose coefficients are derived from the two given points, and having these points on its diagonal, this ellipse is the one circumscribed by the triangles of Poncelet's theorem. More, the numerical range of any matrix is the intersection of the numerical ranges of its unitary dilations, which in this case are unitary matrices each having one of the triangles of Poncelet's theorem as its numerical range and the three vertices of the triangle as its eigenvalues.
Finding Ellipses is arranged into three parts. The first part develops the mathematics of Blaschke products, Poncelet's closure theorem, and numerical ranges separately, before revealing the close connections between them. The second part of the book generalizes these ideas to higher-order Blaschke products, larger matrices, and Poncelet-like results for the corresponding numerical ranges, whi
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https://en.wikipedia.org/wiki/Statistics%20of%20the%20COVID-19%20pandemic%20in%20Chile
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This article consists of various statistical charts related to the ongoing COVID-19 pandemic in Chile.
Daily report
The following table includes the data reported daily by the Ministry of Health, based on the information available at 21:00 the day before the report is released.
On 9 June 2020, the Ministry of Health announced a new process to count the number of fatalities, based on the data recorded by the Civil Registry and Identification Service the day before. That method was changed again on 17 July; from that day, the deaths were counted using the data from the Department of Statistics and Health Information (DEIS) of the Ministry of Health. Due to the process of detection of deaths, the daily reports included deaths from several days prior, creating a gap between the date of report and the official date of death.
A graphic with the active cases as shown on the official data page of the Ministry, which are based on retroactively adjusted information rather than on daily reports, is also displayed.
Charts
Cases
Deaths
<div style="overflow-x:auto;">
Medical care situation
Daily progress of cases
Vaccination program
Types of vaccines used (percentage of the total doses applied)
Distribution per region
Summary
Confirmed cases and PCR+ deaths, updated as of 15 October 2021.
All COVID-19 related deaths (including suspected deaths without PCR+), updated as of 11 October 2021.
Cases by day
Charts
For these charts, the regions of Chile has been grouped as:
North: Arica and Parinacota, Tarapacá, Antofagasta, Atacama and Coquimbo regions.
Center: Valparaíso, O'Higgins, Maule and Ñuble regions.
Metropolitan: Santiago Metropolitan Region.
South: Biobío, Araucanía, Los Ríos and Los Lagos regions.
Extreme South: Aysén and Magallanes and Chilean Antarctica regions.
Distribution per commune
Summary
Notes
References
COVID-19 pandemic in Chile
Chile
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https://en.wikipedia.org/wiki/Xiangyu%20Zhou
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Xiangyu Zhou (Zhou Xiangyu, 周向宇, born March 1965 in Chenzhou, Hunan Province) is a Chinese mathematician, specializing in several complex variables and complex geometry. He is known for his 1998 proof of the "extended future tube conjecture", which was an unsolved problem for almost forty years.
Education and career
Zhou matriculated in 1981 at Xiangtan University, where he graduated in 1985 with a bachelor's degree in mathematics. From 1985 to 1990 he studied at the Institute of Mathematics of the Chinese Academy of Sciences, where he received an M.Sc. in 1988 and a Ph.D. in 1990. At Beijing's Institute of Mathematics of the Chinese Academy of Sciences he was from 1990 to 1992 an assistant professor and from 1992 to 1998 an associate professor and is since 1998 a full professor. During 1990 to 1992 he was on academic leave as a senior scientific member of the Steklov Mathematical Institute, where he was awarded in 1998 a Russian Doctor of Sciences degree.
In the Chinese Academy of Sciences, Zhou was from 2003 to 2012 the director of the Institute of Mathematics and is since 2008 the director of the Hua Loo-Keng Key Laboratory of Mathematics. From 2008 to 2011 he was the vice-chair of the Chinese Mathematical Society.
Zhou was awarded in 1999 the First Class Prize of the Natural Science Award of the Chinese Academy of Sciences, in 2001 the S.S. Chern Mathematics Prize of the Chinese Mathematical Society, and in 2004 the National Natural Science Award of China of the State Council of China. In 2002 he was an invited speaker at the International Congress of Mathematicians in Beijing. In 2013 he was elected an Academician by the Chinese Academy of Sciences and was a keynote speaker of the Abel Symposium.
Selected publications
2018
References
1965 births
Living people
20th-century Chinese mathematicians
21st-century Chinese mathematicians
People from Chenzhou
Xiangtan University alumni
Members of the Chinese Academy of Sciences
Members of the 14th Chinese People's Political Consultative Conference
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https://en.wikipedia.org/wiki/Susanne%20Teschl
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Susanne Teschl (née Timischl, born 1971) is an Austrian biomathematician and professor of mathematics at the University of Applied Sciences Technikum Wien in Vienna. She is known for her research on the mathematical modeling of breath analysis.
Education and career
Teschle earned a diploma in mathematical physics at the University of Graz in 1995, and completed her Ph.D. there in 1998. Her dissertation, A Global Model for the Cardiovascular and Respiratory System, was supervised by Franz Kappel.
After working for the Austrian Science Fund, she joined the University of Applied Sciences Technikum Wien in 2001, and headed the Department of Applied Mathematics and Natural Sciences there from 2007 to 2010.
Personal life
Teschl is the daughter of Wolfgang Timischl, an Austrian mathematics teacher and textbook author. Her husband, Gerald Teschl, is a mathematical physicist at the University of Vienna.
References
External links
1971 births
Living people
Applied mathematicians
University of Graz alumni
20th-century Austrian mathematicians
20th-century women mathematicians
21st-century Austrian mathematicians
21st-century women mathematicians
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https://en.wikipedia.org/wiki/Salvador%20Rodr%C3%ADguez%20Morales
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Salvador Rodríguez Morales (born 6 August 2001) is a Mexican professional footballer who plays as a full-back for Liga de Expansión MX club Raya2, on loan from Mazatlán.
Career statistics
Club
References
External links
Living people
2001 births
Men's association football defenders
Liga MX players
Mazatlán F.C. footballers
Footballers from Michoacán
Mexican men's footballers
Sportspeople from Morelia
Raya2 Expansión players
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https://en.wikipedia.org/wiki/Agnieszka%20Malinowska
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Agnieszka Barbara Malinowska is a Polish mathematician known for her research and books on fractional calculus and the fractional calculus of variations. She is an associate professor of mathematics, in the faculty of computer science of Bialystok University of Technology.
Education and career
Malinowska earned a master's degree in mathematics from the University of Warsaw in 1995. She joined Bialystok University of Technology as a teaching assistant in that year. After completing her doctorate in 2003 through the Polish Academy of Sciences, she became an assistant professor at Bialystok University of Technology, and later an associate professor.
Books
Malinowska is the coauthor of:
Introduction To The Fractional Calculus Of Variations (with Delfim F. M. Torres, World Scientific, 2012)
Quantum Variational Calculus (with Delfim F. M. Torres, Springer, 2014)
Advanced Methods in the Fractional Calculus of Variations (with Tatiana Odzijewic and Delfim F. M. Torres, Springer, 2015)
References
External links
Year of birth missing (living people)
Living people
Polish women mathematicians
20th-century Polish mathematicians
21st-century Polish mathematicians
University of Warsaw alumni
Academic staff of Bialystok University of Technology
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https://en.wikipedia.org/wiki/Malcolm%20Munro
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Malcolm George Munro (born 21 May 1953) is an English former professional footballer who played in the Football League for Leicester City as a central defender.
Career statistics
References
1953 births
Living people
English men's footballers
Leicester City F.C. players
English Football League players
People from Arlesey
Men's association football central defenders
Sportspeople from Melton Mowbray
Footballers from Leicestershire
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https://en.wikipedia.org/wiki/Nikolay%20Korobov
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Nikolai Mikhailovich Korobov (; November 23, 1917 – October 25, 2004) was a Soviet mathematician specializing in number theory and numerical analysis. He is best known for his work in analytic number theory, especially in exponential and trigonometric sums.
References
1917 births
2004 deaths
Soviet mathematicians
Russian mathematicians
Number theorists
Moscow State University alumni
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https://en.wikipedia.org/wiki/Buchholz%20hydra
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In mathematics, especially mathematical logic, graph theory and number theory, the Buchholz hydra game is a type of hydra game, which is a single-player game based on the idea of chopping pieces off of a mathematical tree. The hydra game can be used to generate a rapidly growing function, , which eventually dominates all recursive functions that are provably total in "", and the termination of all hydra games is not provably total in .
Rules
The game is played on a hydra, a finite, rooted connected tree , with the following properties:
The root of has a special label, usually denoted .
Any other node of has a label .
All nodes directly above the root of have a label .
If the player decides to remove the top node of , the hydra will then choose an arbitrary , where is a current turn number, and then transform itself into a new hydra as follows. Let represent the parent of , and let represent the part of the hydra which remains after has been removed. The definition of depends on the label of :
If the label of is 0 and is the root of , then = .
If the label of is 0 but is not the root of , copies of and all its children are made, and edges between them and 's parent are added. This new tree is .
If the label of is for some , then the first node below is labelled as . is then the subtree obtained by starting with and replacing the label of with and with 0. is then obtained by taking and replacing with . In this case, the value of does not matter.
If the label of is , is obtained by replacing the label of with .
If is the rightmost head of , is written. A series of moves is called a strategy, and a strategy is called a winning strategy if, after a finite amount of moves, the hydra reduces to its root. It has been proven that this always terminates, even though the hydra can get taller by massive amounts.
Hydra theorem
Buchholz's paper in 1987 showed that the canonical correspondence between a hydra and an infinitary well-founded tree (or the corresponding term in the notation system associated to Buchholz's function, which does not necessarily belong to the ordinal notation system ), preserves fundamental sequences of choosing the rightmost leaves and the operation on an infinitary well-founded tree or the operation on the corresponding term in .
The hydra theorem for Buchholz hydra, stating that there are no losing strategies for any hydra, is unprovable in .
BH(n)
Suppose a tree consists of just one branch with nodes, labelled . Call such a tree . It cannot be proven in that for all , there exists such that is a winning strategy. (The latter expression means taking the tree , then transforming it with , then , then , etc. up to .)
Define as the smallest such that as defined above is a winning strategy. By the hydra theorem, this function is well-defined, but its totality cannot be proven in . Hydras grow extremely fast, because the amount of turns required to kill is larger than Graha
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https://en.wikipedia.org/wiki/Extension%20complexity
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In convex geometry and polyhedral combinatorics, the extension complexity of a convex polytope is the smallest number of facets among convex polytopes that have as a projection. In this context, is called an extended formulation of ; it may have much higher dimension than .
The extension complexity depends on the precise shape of , not just on its combinatorial structure. For instance, regular polygons with sides have extension complexity (expressed using big O notation), but some other convex -gons have extension complexity at least proportional to .
If a polytope describing the feasible solutions to a combinatorial optimization problem has low extension complexity, this could potentially be used to devise efficient algorithms for the problem, using linear programming on its extended formulation. For this reason, researchers have studied the extension complexity of the polytopes arising in this way. For instance, it is known that the matching polytope has exponential extension complexity. On the other hand, the independence polytope of regular matroids has polynomial extension complexity.
The notion of extension complexity has also been generalized from linear programming to semidefinite programming, by considering projections of spectrahedra in place of projections of polytopes.
References
Polyhedral combinatorics
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https://en.wikipedia.org/wiki/Rafe%20Mazzeo
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Rafe Roys Mazzeo (born 1961) is an American mathematician working in differential geometry, microlocal analysis, and partial differential equations. He is currently a professor of mathematics. He served as the department chair at Stanford University from 2007 to 2010 and 2019–2022.
Education and career
Mazzeo obtained his B.S. degree from MIT in 1982. He completed his Ph.D. in mathematics at MIT under the supervision of Richard Burt Melrose in 1986. His Ph.D. thesis was titled "Hodge cohomology of negatively curved manifolds." After obtaining his Ph.D. degree, Mazzeo joined Stanford University, where he became a full professor in 1997.
Contributions
Mazzeo has published more than 150 mathematics papers, and his work has been cited more than 5000 times. His work has been published in many prestigious mathematics journals, including Annals of Mathematics, Inventiones Mathematicae, and Duke Mathematical Journal. He has had 11 doctoral students. He is one of the founders of the Stanford University Mathematics Camp. He is Faculty Director of the Stanford Online High School, and has been Director of the IAS/Park City Mathematics Institute since 2015.
Awards and fellowships
Mazzeo has received many awards, including a National Science Foundation Postdoctoral Fellowship, Alfred P. Sloan Foundation Research Fellowship, National Science Foundation Young Investigator Fellowship, and Louis and Claude Rosenberg Jr. University Fellowship in Undergraduate Education.
In 2013, he became a fellow of the American Mathematical Society. He was elected as a Member of the American Academy of Arts and Sciences in 2022.
Selected publications
References
External links
Rafe Mazzeo's Home Page
{[Category:Fellow of the American Academy of Arts and Sciences]}
1961 births
Massachusetts Institute of Technology alumni
Stanford University faculty
Differential geometers
20th-century American mathematicians
21st-century American mathematicians
Mathematicians from Massachusetts
Living people
Fellows of the American Mathematical Society
Scientists from Boston
Sloan Fellows
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https://en.wikipedia.org/wiki/Frobenius%20characteristic%20map
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In mathematics, especially representation theory and combinatorics, a Frobenius characteristic map is an isometric isomorphism between the ring of characters of symmetric groups and the ring of symmetric functions. It builds a bridge between representation theory of the symmetric groups and algebraic combinatorics. This map makes it possible to study representation problems with help of symmetric functions and vice versa. This map is named after German mathematician Ferdinand Georg Frobenius.
Definition
The ring of characters
Let be the -module generated by all irreducible characters of over . In particular and therefore . The ring of characters is defined to be the direct sumwith the following multiplication to make a graded commutative ring. Given and , the product is defined to bewith the understanding that is embedded into and denotes the induced character.
Frobenius characteristic map
For , the value of the Frobenius characteristic map at , which is also called the Frobenius image of , is defined to be the polynomial
Remarks
Here, is the partition of integers determined by . For example, when and , corresponds to the partition . Conversely, a partition of (written as ) determines a conjugacy class in . For example, given , is a conjugacy class. Hence by abuse of notation can be used to denote the value of on the conjugacy class determined by . Note this always makes sense because is a class function.
Let be a partition of , then is the product of power sum symmetric polynomials determined by of variables. For example, given , a partition of ,
Finally, is defined to be , where is the cardinality of the conjugacy class . For example, when , . The second definition of can therefore be justified directly:
Properties
Inner product and isometry
Hall inner product
The inner product on the ring of symmetric functions is the Hall inner product. It is required that . Here, is a monomial symmetric function and is a product of completely homogeneous symmetric functions. To be precise, let be a partition of integer, thenIn particular, with respect to this inner product, form a orthogonal basis: , and the Schur polynomials form a orthonormal basis: , where is the Kronecker delta.
Inner product of characters
Let , their inner product is defined to be
If , then
Frobenius characteristic map as an isometry
One can prove that the Frobenius characteristic map is an isometry by explicit computation. To show this, it suffices to assume that :
Ring isomorphism
The map is an isomorphism between and the -ring . The fact that this map is a ring homomorphism can be shown by Frobenius reciprocity. For and ,
Defining by , the Frobenius characteristic map can be written in a shorter form:
In particular, if is an irreducible representation, then is a Schur polynomial of variables. It follows that maps an orthonormal basis of to an orthonormal basis of . Therefore it is an isomorphism.
Example
Computing t
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https://en.wikipedia.org/wiki/Shuto%20Tanabe
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is a Japanese footballer who plays as a right-back for J1 League club, Kawasaki Frontale.
Career statistics
Club
.
References
External links
2002 births
Living people
Association football people from Kyoto Prefecture
Japanese men's footballers
Japan men's youth international footballers
Men's association football defenders
Kawasaki Frontale players
JEF United Chiba players
J2 League players
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https://en.wikipedia.org/wiki/Gabriel%20Santos%20%28footballer%2C%20born%201999%29
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Gabriel Oliveira Santos Campos (born 11 August 1999), known as Gabriel Santos, is a Brazilian footballer who plays as a forward for Sport.
Career statistics
Honours
São Bernardo
Campeonato Paulista Série A2: 2021
References
External links
1999 births
Living people
Footballers from Rio de Janeiro (city)
Men's association football forwards
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série D players
Ukrainian First League players
Ukrainian Second League players
Sampaio Corrêa Futebol e Esporte players
FC Rukh Lviv players
FC Kalush players
São Bernardo Futebol Clube players
Associação Atlética Caldense players
Ceará Sporting Club players
Londrina Esporte Clube players
Sport Club do Recife players
Brazilian expatriate men's footballers
Brazilian expatriate sportspeople in Ukraine
Expatriate men's footballers in Ukraine
Brazilian men's footballers
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https://en.wikipedia.org/wiki/Emerson%20Rodr%C3%ADguez%20%28footballer%29
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Emerson Rivaldo Rodríguez Valois (born 25 August 2000) is a Colombian professional footballer who plays as a winger for Liga MX club Santos Laguna, on loan from Inter Miami CF.
Career statistics
Club
Notes
References
2000 births
Living people
People from Buenaventura, Valle del Cauca
Colombian men's footballers
Men's association football forwards
Categoría Primera B players
Categoría Primera A players
Millonarios F.C. players
Valledupar F.C. footballers
Inter Miami CF players
Inter Miami CF II players
Colombian expatriate men's footballers
Colombian expatriate sportspeople in the United States
Expatriate men's soccer players in the United States
Major League Soccer players
Footballers from Valle del Cauca Department
MLS Next Pro players
21st-century Colombian people
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https://en.wikipedia.org/wiki/Leeroy%20Anton
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Leeroy Anton Matesanz (born 4 May 1985) is a French former footballer.
Career statistics
Club
Notes
References
1985 births
Living people
French men's footballers
Men's association football midfielders
Challenger Pro League players
Singapore Premier League players
Olympique Lyonnais players
FC Rouen players
Lyon La Duchère players
Union Namur players
Étoile FC players
French expatriate men's footballers
Expatriate men's footballers in Spain
French expatriate sportspeople in Spain
Expatriate men's footballers in Belgium
French expatriate sportspeople in Belgium
Expatriate men's footballers in Singapore
French expatriate sportspeople in Singapore
Footballers from Lyon
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https://en.wikipedia.org/wiki/Madeleine%20Chaumont
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Madeleine Chaumont (8 April 1896 – 27 July 1973) was a French mathematics teacher, who was notable as one of the first 41 women to be admitted to the École normale supérieure, and the second woman to be awarded the male agrégation in mathematics. Throughout her life, her teaching career was disrupted by various health problems.
Life
Chaumont was the daughter of Alfred Chaumont, director of the Chaumont Frères distillery, and Hélène Chaumont, a pianist. Having contracted several ear infections as a child, she suffered from hearing problems all her life.
A student at the Collège Sévigné, she obtained her Baccalauréat in mathematics and philosophy in 1912 and 1913. After a brief spell in preparatory classes at the Lycée Chaptal, she obtained a degree in mathematics. Encouraged by her former teacher at Chaptal, Alexandre Bernheim, and by the success of Marguerite Rouvière and Georgette Parize in the competitive examination for the École Normale Supérieure, she decided to apply in 1919; she was accepted, but had to make do with the status of bachelor's scholarship holder. It was not until 1927 that a decree issued by Édouard Herriot granted her the title of former student of the École normale supérieure. She was thus one of the 41 female students at the École before the competitive examination was banned in 1939.
She stayed at the school for only one year, to prepare for the men's agrégation in mathematics in 1920. Chaumont obtained it in 1920, in first place; she was the first female laureate since Liouba Bortniker in 1885. She demanded that "young girls should not have the right, but the obligation, to take the agrégation in boys' high schools", and she spoke out in favour of abolishing the women's agrégation, which was not achieved until 1976, after her death.
Career
In September 1920, she was assigned to the girls' high school in Reims, where she demanded equal treatment with her male colleagues. Unanimously praised for her pedagogical qualities, she was nevertheless regularly absent due to health problems. In 1927, she moved to the Lycée de Jeunes Filles de Versailles, where she prepared for the competitive examination for the École Normale Supérieure de Jeunes Filles, and then in 1933 to the Lycée Fénelon. Her pupils' applications were regularly successful.
Chaumont moved to Limoges in 1939–40, she was excluded from teaching in October 1941 in application of the Second law on the status of Jews and had to wear the yellow star. She was replaced by her former colleague from the Ecole Normale Supérieure, François Deschamps, who sent her pupils for private lessons.
She was reinstated at Fénelon in October 1944, and regularly received praise from the Inspectors General and her headmistress; again, many of her students were successful. From 1955 onwards, however, it had to face the reservations of the new headmistress and competition from the new special mathematics class at the Lycée Jules-Ferry. After a drastic fall in its numbers, the Fénelon
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https://en.wikipedia.org/wiki/Afeeq%20Iqmal
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Mohammad Afeeq Iqmal bin Rosli (born 1999) is a Malaysian professional footballer who plays as a forward for Manjung City.
Career statistics
Club
References
External links
1999 births
Living people
Malaysian men's footballers
Men's association football forwards
Kedah Darul Aman F.C. players
Malaysia Super League players
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https://en.wikipedia.org/wiki/Jakub%20Karbownik
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Jakub Karbownik (born 15 March 2001) is a Polish professional footballer who plays as a winger for Chełmianka Chełm.
Career statistics
Club
References
2001 births
Living people
Sportspeople from Bełchatów
Footballers from Łódź Voivodeship
Polish men's footballers
Poland men's youth international footballers
Men's association football wingers
Lech Poznań II players
Lech Poznań players
GKS Katowice players
Garbarnia Kraków players
Chełmianka Chełm players
I liga players
II liga players
III liga players
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https://en.wikipedia.org/wiki/Krzysztof%20B%C4%85kowski
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Krzysztof Maciej Bąkowski (born 4 January 2003) is a Polish professional footballer who plays as a goalkeeper for Ekstraklasa side Radomiak Radom, on loan from Lech Poznań.
Career statistics
Club
References
2003 births
Living people
Footballers from Poznań
Polish men's footballers
Poland men's youth international footballers
Poland men's under-21 international footballers
Men's association football goalkeepers
Lech Poznań II players
Lech Poznań players
Stomil Olsztyn S.A. players
Stal Rzeszów (football) players
Radomiak Radom players
Ekstraklasa players
I liga players
II liga players
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https://en.wikipedia.org/wiki/Mateusz%20%C5%81%C4%99gowski
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Mateusz Łęgowski (born 29 January 2003) is a Polish professional footballer who plays as a defensive midfielder for Salernitana and the Poland national team.
Career statistics
Club
References
External links
Living people
2003 births
People from Brodnica County
Footballers from Kuyavian-Pomeranian Voivodeship
Men's association football midfielders
Polish men's footballers
Poland men's international footballers
Poland men's youth international footballers
Poland men's under-21 international footballers
Pogoń Szczecin players
Valencia CF players
US Salernitana 1919 players
Ekstraklasa players
III liga players
Serie A players
Polish expatriate men's footballers
Expatriate men's footballers in Spain
Polish expatriate sportspeople in Spain
Expatriate men's footballers in Italy
Polish expatriate sportspeople in Italy
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https://en.wikipedia.org/wiki/Assyr%20Abdulle
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Assyr Abdulle (19 January 1971 – 1 September 2021) was a Swiss mathematician. He specialized in numerical mathematics.
Biography
Abdulle earned a doctorate in mathematics under Gerhard Wanner and Ernst Hairer at the University of Geneva with the thesis Méthodes de Chebyshev basées sur des polynômes orthogonaux. He also earned a degree in violin and music from the Conservatoire de Musique de Genève in 1993. From 2001 to 2002, he was a postdoctoral researcher at Princeton University and worked at the computational laboratory at ETH Zurich from 2002 to 2003. In 2003, he became an assistant professor at the University of Basel and an associate professor at the University of Edinburgh in 2007. He then became a full professor at the École Polytechnique Fédérale de Lausanne. At the school, he started the master's degree in computational science. In 2016, he became Director of the Institut Mathicse and was founding Director of the Institut de Mathématiques in 2017.
Abdulle was impassioned with modeling and numerical simulations in biology, chemistry, geology, and medicine. He notably contributed to the development of heterogeneous multi-scale methods. He developed methods for solving multiscale and ergodic stochastic problems. He also invented the Orthogonal Runge-Kutta-Chebyshev, which was used to solve stiff differential equations which were then generalized to multiscale stochastic systems.
In 2005, Abdulle won the New Talent Award at the International Conference on Scientific Computation and Differential Equations. He received an advanced research fellowship from the Engineering and Physical Sciences Research Council in 2007. In 2009, he won the James H. Wilkinson Prize in Numerical Analysis and Scientific Computing, awarded by the Society for Industrial and Applied Mathematics, for his contributions to applied mathematics. He won the Germund Dahlquist Prize in 2013.
Assyr Abdulle died on 1 September 2021 at the age of 50.
References
1971 births
2021 deaths
Scientists from Geneva
Swiss mathematicians
University of Geneva alumni
Academic staff of the University of Basel
Academics of the University of Edinburgh
Academic staff of the École Polytechnique Fédérale de Lausanne
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https://en.wikipedia.org/wiki/Wolfgang%20Vogel%20%28mathematician%29
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Wolfgang Vogel (8 February 1940 – 2 October 1996) was a German mathematician who made contributions to commutative algebra and algebraic geometry.
Biography
In 1968 Vogel became a mathematics student at the Halle University. After finishing his degree in 1963 he worked as research scientist at the universities of Halle, Berlin and Innsbruck. In 1965 he received his Ph.D. in Halle. He was appointed to the teaching staff (Habilitation) in 1968. He was chairman of the department of pure mathematics from 1977 to 1991. In 1993 he was appointed Professor of Pure Mathematics, at Massey University. He died of cancer in Palmerston North at the age of 56.
Selected publications
References
External links
1940 births
1996 deaths
Scientists from Bremen (city)
20th-century German mathematicians
Academic staff of Massey University
Academic staff of the Martin Luther University of Halle-Wittenberg
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https://en.wikipedia.org/wiki/Vladimir%20Bogachev
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Vladimir Igorevich Bogachev (; born in 1961) is an eminent Russian mathematician and Full Professor of the Department of Mechanics and Mathematics of the Lomonosov Moscow State University. He is an expert in measure theory, probability theory, infinite-dimensional analysis and partial differential equations arising in mathematical physics. His research was distinguished by several awards including the medal and the prize of the Academy of Sciences of the Soviet Union (1990); Award of the Japan Society for the Promotion of Science (2000); the Doob Lecture of the Bernoulli Society (2017); and the Kolmogorov Prize of the Russian Academy of Sciences (2018).
Vladimir Bogachev is one of the most cited Russian mathematicians. He is the author of more than 200 publications and 12 monographs. His total citation index by MathSciNet is 2960, with h-index=23 (by September 2021)
Biography
Bogachev graduated with honours from Moscow State University (1983). In 1986, he received his PhD (Candidate of Sciences in Russia) under the supervision of Prof. O. G. Smolyanov.
Awards
The medal and the prize of the Academy of Sciences of the Soviet Union (1990)
Award of the Japan Society for the Promotion of Science (2000)
The Doob Lecture of the Bernoulli Society (2017)
The Kolmogorov Prize of the Russian Academy of Sciences (2018)
Scientific contributions
In 1984, V. Bogachev resolved three Aronszajn's problems on infinite-dimensional probability distributions and answered a famous question of I. M. Gelfand posed about 25 years before that. In 1992, Vladimir Bogachev proved T. Pitcher’s conjecture (stated in 1961) on the differentiability of the distributions of diffusion processes. In 1995, he proved (with Michael Röckner) the famous Shigekawa conjecture on the absolute continuity of invariant measures of diffusion processes. In 1999, in a joint work with Sergio Albeverio and Röckner, Professor Bogachev resolved the well-known problem of S. R. S. Varadhan on the uniqueness of stationary distributions, which had remained open for about 20 years.
A remarkable achievement of Vladimir Bogachev is the recently obtained (2021) answer to the question of Andrey Kolmogorov (posed in 1931) on the uniqueness of the solution to the Cauchy problem: it is shown that the Cauchy problem with a unit diffusion coefficient and locally bounded drift has a unique probabilistic solution on , and in this is not true even for smooth drift.
Main Publications
Papers
Bogachev V.I., Röckner M. Regularity of invariant measures on finite and infinite dimensional spaces and applications. J. Funct. Anal., V. 133, N 1, P. 168–223 (1995)
Albeverio S., Bogachev V.I., Röckner M. On uniqueness of invariant measures for finite and infinite dimensional diffusions. Comm. Pure Appl. Math., V. 52, P. 325–362 (1999)
Bogachev V.I., Krasovitskii T.I., Shaposhnikov S.V. On uniqueness of probability solutions of the Fokker–Planck–Kolmogorov equation, Sb. Math., V. 212, N 6, P. 745–781 (2021)
B
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https://en.wikipedia.org/wiki/Christian%20Robert
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Christian P. Robert is a French statistician, specializing in Bayesian statistics and Monte Carlo methods.
Career
Christian Robert studied at ENSAE then defended his PhD in 1987 at Université de Rouen. He held temporary positions at Purdue and Cornell before being an Associate Professor at Université Paris 6, and then Professor at Université de Rouen. He was also Professor of Statistics at École Polytechnique and director of Center for Research in Economics and Statistics.
As of 2021, he is Professor at CEREMADE, Université Paris-Dauphine and a part-time member of the Department of Statistics, University of Warwick.
Works
Christian Robert is the author of several textbooks on Bayesian inference and Monte Carlo methods, including:
Robert, Christian. The Bayesian choice: from decision-theoretic foundations to computational implementation. Springer Science & Business Media, 2007.
Robert, Christian, and George Casella. Monte Carlo statistical methods. Springer Science & Business Media, 2013.
Marin, Jean-Michel, and Christian P. Robert. Bayesian essentials with R. New York: Springer, 2014.
Service
Robert served as the editor in chief of the Journal of the Royal Statistical Society, Series B, from 2006 to 2009. He was president of the International Society for Bayesian Analysis in 2008. In 2016 he was joint program chair of the AIStats conference.
Awards
Fellow of the Institute of Mathematical Statistics (1996)
Fellow of the Royal Statistical Society (1998)
International Society for Bayesian Analysis DeGroot prize for the Bayesian Choice (2003)
Fellow of the American Statistical Association (2012)
Fellow of the International Society for Bayesian Analysis (2014)
References
1961 births
French statisticians
Living people
Fellows of the Institute of Mathematical Statistics
Academic staff of École Polytechnique
Academics of the University of Warwick
University of Rouen Normandy alumni
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https://en.wikipedia.org/wiki/Australian%20Research%20Council%20Centre%20of%20Excellence%20for%20Plant%20Success%20in%20Nature%20and%20Agriculture
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The Australian Research Council (ARC) Centre of Excellence for Plant Success in Nature and Agriculture (Centre for Plant Success) is a research centre that combines plant science, mathematics, genetics, agriculture, and law to learn more about what makes plants successful in different environments. The Centre aims to develop new, more effective ways of solving persistent problems in plant science by predicting and improving plant performance in diverse environments. Using quantitative and computational methods the Centre for Plant Success will link gene networks with traits to help address the problems of food security and climate change.
Awarded $35 million in funding by the ARC in 2020, the Centre is planned to run for seven years with Professor Christine Beveridge from The University of Queensland as the Centre Director.
Organisation
The Centre for Plant Success is a collaboration between five Australian Universities - The University of Queensland, University of Tasmania, Queesland University of Technology, Monash University and Western Sydney University. Other collaborators and partners include:
Bioplatforms Australia
CSIRO
Corteva agriscience
The Crop Trust
Stephanie Alexander Kitchen Garden Foundation
CIMMYT
The University of British Columbia
Max Planck Institute of Molecular Plant Physiology
Colorado State University
University of Saskatchewan
Harvard University
Institute of Genetics And Developmental Biology Chinese Academy of Science
Investigators
The Centre for Plant Success has 17 Chief Investigators, and over 150 other members (Postdoctoral Researchers, Associate Investigators, Partner Investigators, Students and Staff).
References
External links
Official website
Research institutes in Australia
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https://en.wikipedia.org/wiki/List%20of%20NorthEast%20United%20FC%20records%20and%20statistics
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NorthEast United FC is an Indian professional football club based in Guwahati, Assam that competes in the Indian Super League, the top flight of Indian football. The club was founded on 13 April 2014 during the inaugural season of Indian Super League. NorthEast United represent the 8 states of India known as North East India which consist Assam, Nagaland, Manipur, Meghalaya, Sikkim, Arunachal Pradesh, Tripura and Mizoram.
Team records
All time performance record
As of 22 April 2023
General
Note: When scores are mentioned, score NorthEast United are given first.
First match: 1–0 (vs Kerala Blasters FC, 13 October 2014)
First Win: 1–0 (vs Kerala Blasters FC, 13 October 2014)
Biggest win (in ISL): 3–0 (vs Chennaiyin FC, 27 November 2014)
Biggest loss (in ISL):
0–5 (vs FC Pune City, 30 December 2017)
0–5 (vs Hyderabad, 31 January 2022)
Highest scoring draw:
3–3 (vs Jamshedpur FC ,10 February 2020)
3–3 (vs Chennaiyin FC ,18 February 2021)
3–3 (vs Mumbai City , 27 December 2021)
Longest winning run: 3 games, during 2020-21 Indian Super League season
Longest unbeaten run: 11 games, during 2020-21 Indian Super League season
Longest losing run: 10 games, during 2022-23 Indian Super League season
First Win (in Super Cup): 2–1 (vs Mumbai City ,15 April 2023)
Biggest win (in Super Cup): 6–3 (vs Churchill Brothers ,19 April 2023)
Biggest loss (in Super Cup): 1–3 (vs Odisha, 23 April 2023)
First Win (in Durand Cup): 2–0 (vs Sudeva Delhi, 2 September 2022)
Biggest win (in Durand Cup): 2–0 (vs Sudeva Delhi, 2 September 2022)
Biggest loss (in Durand Cup): 0–6 (vs Odisha, 17 August 2022)
Highest home attendance: 32,844 (vs Chennaiyin FC, 20 October 2016)
Lowest home attendance: 361 (vs Goa, 15 January 2023)
Players Records
Appearances
Record appearance maker: 71 – Reagan Singh
Most appearances in Indian Super League: 69 – Reagan Singh
Most appearances in Super Cup: 4 –
Rochharzela & more
Youngest player (also ISL record): Alfred Lalroutsang – 16 years 235 days
Youngest foreign player: Francis Dadzie – 20 years and 91 days
Oldest player: Silas – 39 years and 90 days
Oldest Indian player: Subhasish Roy Chowdhury – 35 years and 136 days
All competitions
As of match played 23 April 2023
Goals
All time top scorer: 15 – Wilmar Jordán
First goalscorer: Koke (vs Kerala Blasters, 13 October 2014)
First Indian goalscorer: Seiminlen Doungel (vs Chennaiyin, 8 November 2014)
Most goals in ISL: 12 –
Bartholomew Ogbeche
Deshorn Brown
Most goals in ISL by an Indian: 7 – V.P. Suhair
Most goals in an ISL season: 12 – Bartholomew Ogbeche, (2018–2019 season)
Most goals in ISL season by an Indian: 4 –
Seiminlen Doungel, (2017–2018 season)
Rowllin Borges, (2018–2019 season)
V.P. Suhair, (2021–2022 season)
Laldanmawia Ralte, (2021–22 season)
First goalscorer in Super Cup: Rowllin Borges (vs Chennaiyin, 2 April 2019)
Most goals in Super Cup: 7 – Wilmar Jordán
First goalscorer in Durand Cup: Dipu Mirdha (vs Army Green, 21 August 2022)
Most goals in Durand Cup: 2 –
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https://en.wikipedia.org/wiki/Independence%20Theory%20in%20Combinatorics
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Independence Theory in Combinatorics: An Introductory Account with Applications to Graphs and Transversals is an undergraduate-level mathematics textbook on the theory of matroids. It was written by Victor Bryant and Hazel Perfect, and published in 1980 by Chapman & Hall.
Topics
A major theme of Independence Theory in Combinatorics is the unifying nature of abstraction, and in particular the way that matroid theory can unify the concept of independence coming from different areas of mathematics. It has five chapters, the first of which provides basic definitions in graph theory, combinatorics, and linear algebra, and the second of which defines and introduces matroids, called in this book "independence spaces". As the name would suggest, these are defined primarily through their independent sets, but equivalences with definitions using circuits, matroid rank, and submodular set function are also presented, as are sums, minors, truncations, and duals of matroids.
Chapter three concerns graphic matroids, the matroids of spanning trees in graphs, and the greedy algorithm for minimum spanning trees. Chapter four includes material on transversal matroids, which can be described in terms of matchings of bipartite graphs, and includes additional material on matching theory and related topics including Hall's marriage theorem, Menger's theorem (an equivalence between minimum cuts and maximum sets disjoint paths in graphs), Latin squares, and gammoids. The final chapter concerns matroid representations using linear independence in vector spaces, labeled as an appendix and presented with fewer proofs.
Many exercises are included, of varied difficulty, with hints and solutions.
Audience and reception
The level of the text is appropriate for courses for advanced undergraduates or master's students, with only basic linear algebra as a prerequisite, and covers its material at a more accessible and general level than other texts on matroid theory. Although disagreeing with the book's choice to omit the related topic of geometric lattices, reviewer Dominic Welsh calls it "an ideal text for an undergraduate course on combinatorial theory". Michael J. Ganley similarly calls it "a very good introduction to quite a difficult subject".
However, reviewer W. Dörfler complains that the book has inadequate coverage of practical applications, and is missing a proper bibliography. Another complaint, by Bernhard Korte, is that the book's title is misleading: "independence spaces" often refers more generally to abstract simplicial complexes, while the book concentrates much more specifically on matroids. Korte also echoes the other reviewers' complaints about the lack of coverage of applications in combinatorial optimization and of connections to lattice theory.
References
Mathematics textbooks
1980 non-fiction books
Matroid theory
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https://en.wikipedia.org/wiki/Yuto%20Nagamine
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is a Japanese footballer who plays as a defender for Zweigen Kanazawa as a designated special player.
Career statistics
Club
References
External links
2000 births
Living people
Association football people from Saitama Prefecture
Takushoku University alumni
Japanese men's footballers
Men's association football defenders
J2 League players
Zweigen Kanazawa players
21st-century Japanese people
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https://en.wikipedia.org/wiki/Reon%20Yamahara
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is a Japanese footballer currently playing as a left back for Shimizu S-Pulse.
Career statistics
Club
.
Notes
References
External links
1999 births
Living people
Association football people from Kyoto
University of Tsukuba alumni
Japanese men's footballers
Japan men's youth international footballers
Men's association football defenders
J1 League players
Shimizu S-Pulse players
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https://en.wikipedia.org/wiki/Meguru%20Odagaki
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is a Japanese footballer currently playing as a forward for Gainare Tottori.
Career statistics
Club
.
Notes
References
1997 births
Living people
Japanese men's footballers
Men's association football forwards
Regionalliga players
J3 League players
Gamba Osaka players
Alemannia Aachen players
SV 19 Straelen players
SV Bergisch Gladbach 09 players
Gainare Tottori players
Japanese expatriate men's footballers
Japanese expatriate sportspeople in Germany
Expatriate men's footballers in Germany
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https://en.wikipedia.org/wiki/Shoya%20Koyama
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is a Japanese footballer currently playing as a forward for Kamatamare Sanuki.
Career statistics
Club
.
Notes
References
2003 births
Living people
Association football people from Yamaguchi Prefecture
Japanese men's footballers
Men's association football forwards
J3 League players
Kamatamare Sanuki players
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https://en.wikipedia.org/wiki/Marc%20Alexa
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Marc Alexa is a professor of computer science at TU Berlin working in the fields of computer graphics, geometric modeling and geometry processing.
Life
Alexa studied computer science at TU Darmstadt, receiving a Diplom in 1997 and a PhD in 2002. After his graduation, he spent time as a postdoctoral researcher with Greg Turk at Georgia Tech, returning the same year to become assistant professor at TU Darmstadt. In 2005, he became an associate professor for computer graphics at TU Berlin, transitioning to the full professorship in 2010. He conducted research at Caltech, Carnegie Mellon University, Disney Research, ETH Zurich, and the University of Toronto. From 2018 to 2021, he was the editor-in-chief of ACM Transactions on Graphics.
Awards
Alexa received numerous best paper awards at conferences, in particular the Symposium on Geometry Processing. Other noteworthy distinctions:
2022: ERC Advanced Grant
2018: Fellow of the Eurographics Association
2014: Eurographics Outstanding Technical Contributions Award
2012: Engineering Sciences Prize of the Academy, Berlin-Brandenburg Academy of Sciences and Humanities
2010: ERC Starting Grant
2003: Heinz Maier-Leibnitz-Preis of the German Research Foundation
References
External links
Living people
1974 births
Academic staff of the Technical University of Berlin
Technische Universität Darmstadt alumni
German computer scientists
Computer graphics researchers
European Research Council grantees
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https://en.wikipedia.org/wiki/Statistics%20of%20the%20COVID-19%20pandemic%20in%20Pakistan
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Below you can find many detailed tables and graphs that show the historical spread and trends of COVID-19 in Pakistan. Data (covering the national and provincial level) from 26 February 2020 (the day of the first two cases) – 9 March 2020 was taken by compiling news reports about the pandemic in Pakistan that minutely covered the pandemic. From 10 March 2020 – 2 April 2020, data was taken from the NIH's daily reports on COVID-19 that were published from 11 March – 3 April (these reports were published early in the day and thus reflected the previous day's cases). Since 3 April 2020, data has been taken from the federal government's live tracker. A more detailed list of sources and data covering the national and provincial levels can be found here. Sources regarding the district level can be found in their subsection.
National
Daily new confirmed cases
Daily new deaths
Case statistics
The three line graphs below give a detailed overview of the current and historical case, recovery, and death counts throughout the Pakistan. The first two show the exponential growth of the pandemic in the country by using a linear scale for their Y-Axes. The third plot uses a Logarithmic scale for its Y-Axis to show relationships between the trends. On a Logarithmic Scale, data that shows exponential growth will plot as a straight line. Each major division is a factor of ten. This makes the slope of the plot the relative rate of change anywhere in the timeline, which allows comparison of one plot with the others throughout the pandemic.
Fatality rates
The chart below displays the Case Fatality Rate (CFR) of COVID-19 within Pakistan. The two different trendlines represent different methods of measuring CFR during a pandemic. The first line shows the CFR when calculated using the most common method (Dividing the total number of deaths by the number of confirmed cases) and the second line shows the CFR when deaths are divided by the number of closed cases (the number you get when you add the number of recoveries and the number of deaths). By the end of the pandemic, barring any major demographic shifts, the Case Fatality Rate should end up somewhere between the two values (as they stand currently). The latest data on the graph below pertains to 22 May 2021
Testing statistics
The two charts below display historical COVID-19 testing data since 3 April 2020, when reliable testing data became available in Pakistan. The first chart covers raw data of numbers of cumulative tests, new tests, and cumulative confirmed cases and new confirmed case counts for comparison with testing numbers. It can be viewed on a linear or logarithmic scale. The second chart shows different types of test positivity rates in Pakistan since the same date. In the second chart, the total positivity rate (Cumulative Confirmed Cases ÷ Cumulative Tests Performed), the daily positivity rate (Daily New Confirmed Cases ÷ Daily New Performed Tests), and a Seven-Day Positivity Rates (Confirmed Ca
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https://en.wikipedia.org/wiki/Aldi%20Gjumsi
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Aldi Gjumsi (born 15 March 2002) is an Albanian professional footballer who plays as a forward for Kategoria Superiore club Teuta Durrës .
Career statistics
Club
Honours
Club
Tirana
Kategoria Superiore: 2021–22
Runner-up:2022–23
Albanian Supercup: 2022
Kupa e Shqipërisë
Runner-up:2022–23
Notes
References
2002 births
Living people
Footballers from Tirana
Albanian men's footballers
Albania men's youth international footballers
Men's association football forwards
KF Tirana players
Kategoria Superiore players
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https://en.wikipedia.org/wiki/Enes%20Kuka
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Enes Kuka (born 14 January 2002) is an Albanian professional footballer who plays as a midfielder for Kastrioti .
Career statistics
Club
Notes
Honours
Tirana
Kategoria Superiore: 2021–22
References
2002 births
Living people
Albanian men's footballers
Men's association football midfielders
KF Tirana players
Kategoria Superiore players
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https://en.wikipedia.org/wiki/Jacob%20Engel%20%28footballer%29
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Jacob Engel (born 13 January 2001) is a German footballer who plays as a left-back for 1. FC Schweinfurt 05.
Career statistics
References
2001 births
Living people
People from Bad Kreuznach
German men's footballers
Footballers from Rhineland-Palatinate
Men's association football defenders
Regionalliga players
3. Liga players
TSV Schott Mainz players
1. FSV Mainz 05 players
Eintracht Frankfurt players
SC Freiburg players
SC Freiburg II players
1. FC Schweinfurt 05 players
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