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https://en.wikipedia.org/wiki/Ma%20Yangyang
|
Ma Yangyang (; born 20 February 1998) is a Chinese footballer currently playing as a defender for Zibo Qisheng in China League Two.
Career statistics
Club
.
References
1998 births
Living people
Chinese men's footballers
Men's association football defenders
China League One players
Beijing Guoan F.C. players
Shaanxi Chang'an Athletic F.C. players
21st-century Chinese people
|
https://en.wikipedia.org/wiki/Gao%20Kanghao
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Gao Kanghao (; born 23 October 1999) is a Chinese footballer currently playing as a forward for Chinese club Yuxi Yukun.
Career statistics
Club
.
References
1999 births
Living people
Chinese men's footballers
Men's association football forwards
China League One players
Guangdong South China Tiger F.C. players
Shaanxi Chang'an Athletic F.C. players
|
https://en.wikipedia.org/wiki/Chen%20Hongwei
|
Chen Hongwei (; born 23 November 1999) is a Chinese footballer currently playing as a central defender for Shaanxi Chang'an Athletic.
Career statistics
Club
.
References
1999 births
Living people
Chinese men's footballers
Men's association football defenders
China League One players
Liaoning F.C. players
Shaanxi Chang'an Athletic F.C. players
21st-century Chinese people
|
https://en.wikipedia.org/wiki/Zhao%20Heng%20%28footballer%29
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Zhao Heng (; born 24 January 1997) is a Chinese footballer who plays as a goalkeeper for Chinese club Fuzhou Hengxing.
Career statistics
Club
.
References
1997 births
Living people
Chinese men's footballers
Men's association football goalkeepers
China League Two players
China League One players
Sichuan Jiuniu F.C. players
|
https://en.wikipedia.org/wiki/Zhao%20Jun%20%28footballer%2C%20born%201997%29
|
Zhao Jun (; born 5 March 1997) is a Chinese footballer currently playing as a defender for Sichuan Jiuniu.
Career statistics
Club
.
References
1997 births
Living people
Chinese men's footballers
Men's association football defenders
China League Two players
China League One players
Sichuan Jiuniu F.C. players
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https://en.wikipedia.org/wiki/Chuanfang%20Lisu%20and%20Dai%20Ethnic%20Township
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Chuanfang Lisu and Dai Ethnic Township () is an ethnic township in County, Yunnan, China. As of the 2017 statistics it had a population of 9,685 and an area of .
Administrative division
As of 2016, the township is divided into four villages:
Chuanfang ()
Huarong ()
Huiwo ()
Jiaju ()
History
It used to be in the territory of the Yuan dynasty (1271–1368).
In 1909, Huaping County was set up and this region was county seat.
During the Republic of China, it belonged to Yulu Township ().
After the establishment of the Communist State, in 1950, it belonged to the 5th District. In 1961, its name was changed to Huarong People's Commune () and then merged into the Yongxing District (). The Chuanfang Lisu and Dai Ethnic Township was established in 1988.
Geography
The township lies at the northeastern of Huaping County, bordering Yongxing Lisu Ethnic Township and Zhongxin Town to the west, the town of Xingquan to the south, and Yanbian County to the east and northeast. The highest point in the township is Guangtou Mountain () which stands above sea level. The lowest point is Huiwotangfang (), which, at above sea level.
The Wumu River () flows through the township.
Climate
The township enjoys a subtropical semi humid climate, with an average annual temperature of and total annual rainfall of .
Economy
The economy is supported primarily by farming, animal husbandry and mineral resources. The main crops are rice, wheat and corn. Economic crops are mainly zanthoxylum, tea, walnut, loquat, persimmon, and citrus. The region also has an abundance of coal, granite and limestone.
Demographics
As of 2017, the National Bureau of Statistics of China estimates the township's population now to be 9,685.
References
Bibliography
Divisions of Huaping County
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https://en.wikipedia.org/wiki/Ruan%20Jun
|
Ruan Jun (; born 29 June 1997) is a Chinese footballer currently playing as a forward for China League Two club Tai'an Tiankuang.
Career statistics
Club
.
References
1997 births
Living people
People from Mianyang
Footballers from Sichuan
Chinese men's footballers
Men's association football forwards
China League Two players
China League One players
Sichuan Jiuniu F.C. players
|
https://en.wikipedia.org/wiki/Zheng%20Shengxiong
|
Zheng Shengxiong (; born 5 January 1999) is a Chinese footballer currently playing as a midfielder for Guangzhou.
Career statistics
Club
.
References
1999 births
Living people
Chinese men's footballers
Men's association football midfielders
China League One players
Chinese Super League players
Guangzhou F.C. players
Sichuan Jiuniu F.C. players
|
https://en.wikipedia.org/wiki/Xiao%20Kun
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Xiao Kun (; born 15 February 1995) is a Chinese professional footballer who plays as a midfielder for and captains China League One club Sichuan Jiuniu.
Career statistics
Club
.
References
1995 births
Living people
Footballers from Hunan
Chinese men's footballers
Men's association football midfielders
China League Two players
China League One players
Suzhou Dongwu F.C. players
Shanghai Port F.C. players
Sichuan Jiuniu F.C. players
|
https://en.wikipedia.org/wiki/Yang%20Chao%20%28footballer%29
|
Yang Chao (; born 3 August 1993) is a Chinese footballer currently playing as a goalkeeper for Sichuan Jiuniu.
Career statistics
Club
.
References
1993 births
Living people
Chinese men's footballers
Men's association football goalkeepers
China League Two players
China League One players
Guangdong South China Tiger F.C. players
Sichuan Jiuniu F.C. players
|
https://en.wikipedia.org/wiki/Wang%20Jiaqi
|
Wang Jiaqi (; born 26 December 2001) is a Chinese footballer currently playing as a midfielder for Sichuan Jiuniu.
Career statistics
Club
.
References
2001 births
Living people
Chinese men's footballers
Men's association football midfielders
China League One players
Sichuan Jiuniu F.C. players
|
https://en.wikipedia.org/wiki/Li%20Bowen
|
Li Bowen (; born 23 January 1995) is a Chinese footballer currently playing as a defender for Sichuan Jiuniu.
Career statistics
Club
.
References
1995 births
Living people
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football defenders
China League One players
China League Two players
Campeonato de Portugal (league) players
Beijing Guoan F.C. players
Meizhou Hakka F.C. players
C.D. Aves players
C.D.C. Montalegre players
Sichuan Jiuniu F.C. players
Chinese expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
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https://en.wikipedia.org/wiki/Nuali%20Zimin
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Nuali Zimin (; born 13 January 2000) is a Chinese footballer currently playing as a midfielder for Zibo Qisheng in China League Two.
Career statistics
Club
.
References
2000 births
Living people
Chinese men's footballers
Men's association football midfielders
China League Two players
China League One players
Sichuan Jiuniu F.C. players
|
https://en.wikipedia.org/wiki/Ma%20Chao%20%28footballer%29
|
Ma Chao (; born 13 June 1998) is a Chinese footballer currently playing as a left-back for Yunnan Yukun.
Career statistics
Club
.
References
1998 births
Living people
People from Qingdao
Footballers from Shandong
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football defenders
Campeonato de Portugal (league) players
China League Two players
China League One players
S.C.U. Torreense players
C.D. Pinhalnovense players
Xinjiang Tianshan Leopard F.C. players
Chinese expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
|
https://en.wikipedia.org/wiki/Bonnie%20Ray
|
Bonnie Kathryn Ray is an American statistician and data scientist, the head of data science at Chartbeat, a publisher data analytics firm. Her publications in statistics have concerned long-range dependence, change detection, orthogonal defect classification, and wide-ranging applications including financial market analysis, climate models, and software engineering.
Education and career
Ray is originally from Mississippi, and grew up in northern Louisiana. She majored in mathematics at Baylor University, where she was president of the Mu Sigma Beta mathematics honor society, and held summer internships at Texas Instruments. She graduated Phi Beta Kappa in 1985, and completed a Ph.D. in statistics at Columbia University in 1991. Her dissertation, Fractionally Differenced ARMA Processes: Seasonality and Forecasting Issues, was jointly supervised by Jonathan Hosking and Howard Levene.
After postdoctoral research with Peter Lewis at the Naval Postgraduate School, she became an assistant professor of mathematics at the New Jersey Institute of Technology, and earned tenure there before moving to the Thomas J. Watson Research Center of IBM Research in 2001. At IBM she spent two years as program manager for analytics and optimization at IBM's China Research Laboratory in Beijing, and eventually became senior manager for data and decision analytics and director of cognitive algorithms.
In 2015, Ray moved from IBM to become vice president of data science at Talkspace, an online and mobile therapy company, before moving again to her present position at Chartbeat.
Recognition
Ray was elected as a Fellow of the American Statistical Association in 2005.
References
Year of birth missing (living people)
Living people
American women statisticians
Baylor University alumni
Columbia Graduate School of Arts and Sciences alumni
New Jersey Institute of Technology faculty
IBM Research computer scientists
Fellows of the American Statistical Association
21st-century American women
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https://en.wikipedia.org/wiki/Klaus%20Wilhelm%20Roggenkamp
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Klaus Wilhelm Roggenkamp (24 December 1940 – 23 July 2021) was a German mathematician, specializing in algebra.
Education and career
As an undergraduate, Roggenkamp studied mathematics from 1960 to 1964 at the University of Giessen. There in 1967 he received his PhD. His thesis Darstellungen endlicher Gruppen in Polynombereichen (Representations of finite groups in polynomial integral domains) was written under the supervision of Hermann Boerner. As a postdoc Roggenkamp was at the University of Illinois at Urbana-Champaign, where he studied under Irving Reiner, and at the University of Montreal. After four years as a professor at Bielefeld University, he was appointed to the chair of algebra at the University of Stuttgart.
Roggenkamp and Leonard Lewy Scott collaborated on a long series of papers on the groups of units of integral group rings, dealing with problems connected with the "integral isomorphism problem", which was proposed by Graham Higman in his 1940 doctoral dissertation at the University of Oxford. In 1986 Roggenkamp and Scott proved their most famous theorem (published in 1987 in the Annals of Mathematics). Their theorem states that given two finite groups and , if is isomorphic to then is isomorphic to , in the case where and are finite p-groups over the p-adic integers, and also in the case where and are finite nilpotent groups. Their 1987 paper also established a very strong form of a conjecture made by Hans Zassenhaus. The papers of Roggenkamp and Scott were the basis for most developments which followed in the study of finite groups of units of integral group rings.
In 1988 Roggenkamp and Scott found a counterexample to another conjecture by Hans Zassenhaus — the conjecture was a somewhat strengthened form of the conjecture that the "integral isomorphism problem" always has an affirmative solution. Martin Hertweck, partly building on the techniques introduced by Roggenkamp and Scott for their counterexample, published a counterexample to the conjecture that the "integral isomorphism problem" can always be solved affirmatively.
Roggenkamp was elected a member of the Akademie gemeinnütziger Wissenschaften zu Erfurt (Erfurt Academy of Useful Sciences) and was made an honorary member of Ovidius University of Constanța in Romania.
Selected publications
Articles
Books
(reprint of 1970 1st edition)
(2014 reprint)
(reprint of 1979 original )
(reprint of 1992 original )
as editor
book table of contents at Springer website
(reprint of 1985 1st edition)
References
1940 births
2021 deaths
Group theorists
20th-century German mathematicians
21st-century German mathematicians
University of Giessen alumni
Academic staff of Bielefeld University
Academic staff of the University of Stuttgart
People from Hanover
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https://en.wikipedia.org/wiki/Gu%20Junjie%20%28footballer%29
|
Gu Junjie (; born 7 March 1988) is a Chinese footballer currently playing as a goalkeeper for Zibo Cuju.
Career statistics
Club
.
References
1988 births
Living people
Chinese men's footballers
Men's association football goalkeepers
China League One players
Shenyang Dongjin F.C. players
Yunnan Flying Tigers F.C. players
Xinjiang Tianshan Leopard F.C. players
Zibo Cuju F.C. players
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https://en.wikipedia.org/wiki/Han%20Yi%20%28footballer%29
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Han Yi (; born 31 January 1993) is a Chinese footballer currently playing as a forward for Xinjiang Tianshan Leopard F.C.
Career statistics
Club
.
References
1993 births
Living people
Chinese men's footballers
Men's association football forwards
China League One players
China League Two players
Dalian Shide F.C. players
Shanghai Shenhua F.C. players
Beijing Sport University F.C. players
Zibo Cuju F.C. players
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https://en.wikipedia.org/wiki/Mai%20Sijing
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Mai Sijing (; born 17 April 1991) is a Chinese footballer currently playing as a forward for Zibo Cuju.
Career statistics
Club
.
References
1991 births
Living people
Sportspeople from Shenzhen
Footballers from Guangdong
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football forwards
Hong Kong First Division League players
China League Two players
China League One players
Shenzhen F.C. players
Shaanxi Chang'an Athletic F.C. players
Zibo Cuju F.C. players
Chinese expatriate sportspeople in Hong Kong
Expatriate men's footballers in Hong Kong
21st-century Chinese people
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https://en.wikipedia.org/wiki/Jiang%20Yu%20%28footballer%29
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Jiang Yu (; born 20 September 1998) is a Chinese footballer currently playing as a midfielder for Zibo Cuju.
Career statistics
Club
.
References
1998 births
Living people
Chinese men's footballers
Men's association football midfielders
China League One players
Beijing Chengfeng F.C. players
Heilongjiang Ice City F.C. players
Chongqing Liangjiang Athletic F.C. players
Zibo Cuju F.C. players
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https://en.wikipedia.org/wiki/Sun%20Xiaobin
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Sun Xiaobin (; born 16 February 1999) is a Chinese footballer currently playing as a central defender for Zibo Cuju.
Career statistics
Club
.
References
1999 births
Living people
Chinese men's footballers
Men's association football defenders
China League One players
Shandong Taishan F.C. players
Shenzhen F.C. players
Zibo Cuju F.C. players
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https://en.wikipedia.org/wiki/Luo%20Junhan
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Luo Junhan (; born 3 May 2004) is a Chinese footballer currently playing as a defender for Guangzhou.
Career statistics
Club
.
References
2004 births
Living people
Chinese men's footballers
Men's association football defenders
Guangzhou F.C. players
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https://en.wikipedia.org/wiki/Wu%20Linfeng
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Wu Linfeng (; born 16 July 1999) is a Chinese footballer currently playing as a forward for Zibo Cuju.
Career statistics
Club
.
References
1999 births
Living people
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football forwards
China League Two players
China League One players
Botafogo Futebol Clube (SP) players
Suzhou Dongwu F.C. players
Zibo Cuju F.C. players
Chinese expatriate sportspeople in Brazil
Expatriate men's footballers in Brazil
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https://en.wikipedia.org/wiki/Peng%20Hao%20%28footballer%2C%20born%202001%29
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Peng Hao (; born 25 December 2001) is a Chinese footballer currently playing as a midfielder for Guangzhou.
Career statistics
Club
.
References
2001 births
Living people
Chinese men's footballers
China men's youth international footballers
Men's association football midfielders
Shanghai Port F.C. players
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https://en.wikipedia.org/wiki/Sun%20Guan%27ou
|
Sun Guan'ou (; born 24 February 2000) is a Chinese footballer currently playing as a forward for Ji'nan Xingzhou, on loan from Shanghai Port.
Career statistics
Club
.
References
2000 births
Living people
People from Lu'an
Footballers from Anhui
Chinese men's footballers
Men's association football forwards
China League One players
Shanghai Port F.C. players
Inner Mongolia Zhongyou F.C. players
21st-century Chinese people
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https://en.wikipedia.org/wiki/Fang%20Liu%20%28statistician%29
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Fang Liu is a Chinese-American statistician and data scientist whose research topics include differential privacy, statistical learning theory, Bayesian statistics, regularization, missing data, and applications in biostatistics. She is a professor in the Department of Applied and Computational Mathematics and Statistics at the University of Notre Dame.
Education and career
Liu was talented in mathematics as a child, competed in mathematics competitions, and wanted to become a mathematician, but was discouraged from doing so by her parents, who wanted her to become a physician. As a compromise, she studied biology at Peking University, where she earned a bachelor's degree in 1997.
She began her graduate studies at Iowa State University intending to study genetics, but quickly switched to a program in statistics, and earned a master's degree there in 1999, and a Ph.D. from the University of Michigan in 2003. Her dissertation, Bayesian Methods for Statistical Disclosure Control in Microdata, involved both data privacy and Bayesian statistics, and was supervised by Roderick J. A. Little.
After completing her doctorate, she became a researcher at the Merck Research Laboratories. She returned to academia, joining the Notre Dame faculty, in 2011.
Recognition
Liu was named a Fellow of the American Statistical Association in 2021, "for novel contributions to differentially private synthetic data and Bayesian modeling; for outstanding interdisciplinary research in clinical and public health studies; for leadership in education and training; and for service to the profession".
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
American women statisticians
Chinese statisticians
Chinese women mathematicians
Chinese mathematicians
Peking University alumni
Iowa State University alumni
University of Michigan alumni
University of Notre Dame faculty
Fellows of the American Statistical Association
21st-century American women
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https://en.wikipedia.org/wiki/Mao%20Kaiyu
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Mao Kaiyu (; born 10 January 1991) is a Chinese footballer currently playing as a centre-back for Changchun Yatai.
Career statistics
Club
.
References
External links
1991 births
Living people
Footballers from Shenyang
Footballers from Liaoning
Chinese men's footballers
Men's association football defenders
China League One players
Chinese Super League players
Tianjin Jinmen Tiger F.C. players
Shenyang Dongjin F.C. players
Inner Mongolia Zhongyou F.C. players
Heilongjiang Ice City F.C. players
Changchun Yatai F.C. players
21st-century Chinese people
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https://en.wikipedia.org/wiki/Song%20Runtong
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Song Runtong (; born 18 September 2001) is a Chinese footballer who plays as a forward for Qingdao Youth Island, on loan from Shanghai Shenhua.
Career statistics
Club
.
References
2001 births
Living people
Chinese men's footballers
China men's youth international footballers
Men's association football forwards
China League Two players
Chinese Super League players
Shanghai Shenhua F.C. players
Qingdao F.C. players
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https://en.wikipedia.org/wiki/Gao%20Xin%20%28footballer%29
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Gao Xin (; born 22 February 1997) is a Chinese footballer currently playing as a defender for Jinhua Huayue.
Career statistics
Club
.
References
1997 births
Living people
Chinese men's footballers
Men's association football defenders
China League One players
Shandong Taishan F.C. players
Beijing Sport University F.C. players
21st-century Chinese people
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https://en.wikipedia.org/wiki/Yu%20Chenglei
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Yu Chenglei (; born 8 March 1997) is a Chinese footballer currently playing as a defender for Shandong Taishan.
Career statistics
Club
.
References
1997 births
Living people
Chinese men's footballers
Men's association football defenders
China League Two players
Shandong Taishan F.C. players
Sichuan Jiuniu F.C. players
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https://en.wikipedia.org/wiki/Liu%20Li%20%28footballer%29
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Liu Li (; born 3 April 1997) is a Chinese footballer currently playing as a midfielder for Shandong Taishan.
Career statistics
Club
.
References
1997 births
Living people
Chinese men's footballers
Men's association football midfielders
China League Two players
Shandong Taishan F.C. players
Sichuan Jiuniu F.C. players
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https://en.wikipedia.org/wiki/Tang%20Qirun
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Tang Qirun (; born 11 March 2000) is a Chinese footballer currently playing as a midfielder for Jiangxi Beidamen.
Career statistics
Club
.
References
2000 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
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https://en.wikipedia.org/wiki/Bai%20Tianci
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Bai Tianci (; born 28 August 1998) is a Chinese footballer currently playing as a forward for Hefei City.
Career statistics
Club
.
References
1998 births
Living people
People from Huainan
Footballers from Anhui
Chinese men's footballers
Men's association football forwards
China League Two players
China League One players
Shandong Taishan F.C. players
Shanghai Shenxin F.C. players
Guangdong South China Tiger F.C. players
Kunshan F.C. players
21st-century Chinese people
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https://en.wikipedia.org/wiki/Luo%20Andong
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Luo Andong (; born 17 December 1995) is a Chinese footballer currently playing as a left-back or midfielder for Liaoning Shenyang Urban.
Career statistics
Club
.
References
1995 births
Living people
Chinese men's footballers
Men's association football midfielders
China League One players
Beijing Chengfeng F.C. players
Inner Mongolia Zhongyou F.C. players
Shandong Taishan F.C. players
21st-century Chinese people
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https://en.wikipedia.org/wiki/Sun%20Rui%20%28footballer%2C%20born%201999%29
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Sun Rui (; born 14 July 1999) is a Chinese footballer currently playing as a midfielder for Wuxi Wugou.
Career statistics
Club
.
References
1999 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
Zibo Cuju F.C. players
Inner Mongolia Zhongyou F.C. players
21st-century Chinese people
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https://en.wikipedia.org/wiki/Cao%20Chuanyu
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Cao Chuanyu (; born 21 January 1995) is a Chinese footballer currently playing as a defender.
Career statistics
Club
.
References
1995 births
Living people
Footballers from Shanghai
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football defenders
Shanghai Shenhua F.C. players
Shanghai Shenxin F.C. players
Chinese expatriate sportspeople in Spain
Expatriate men's footballers in Spain
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https://en.wikipedia.org/wiki/Peter%20Jagers
|
Peter Jagers (born 1941) is a Professor Emeritus of Mathematical Statistics at University of Gothenburg and Chalmers University of Technology who made lasting contributions in probability and general branching processes. Jagers was first vice president (2007–2010) of the Royal Swedish Academy of Sciences and Chair of the Royal Society of Arts and Sciences in Gothenburg (2012). He in an elected member of the International Statistical Institute, a Fellow of the Institute of Mathematical Statistics and past President of the Bernoulli Society (2005–2007). He also served as a member of the Scientific Advisory Board of Statistics Sweden.
Jagers has been coordinating editor of the Journal of Applied Probability and Advances in Applied Probability. He is on the Editorial Committee for Springer's books on probability theory and was editor of Stochastic Processes and their Applications 1989–1993.
Awards
Jagers received an honorary doctorate from the Bulgarian Academy of Sciences and in 2012 was awarded the Carver Medal by the Institute of Mathematical Statistics. In 2003 he received the Chalmers Medal and in 2005 was awarded King Carl XVI Gustaf 's gold medal for "services to mathematics in Sweden and internationally".
Publications
He has published a large number of scientific works, notably in branching process theory and its applications, and is the author of two books, Branching Processes with Biological Applications (J. Wiley 1975) and Branching Processes: Variation, Growth, and Extinction of Populations (Cambridge U. Press 2005). The Crump-Mode-Jagers (or generalized) branching process is named for Jagers.
References
Swedish statisticians
Living people
1941 births
Members of the Royal Swedish Academy of Sciences
Academic staff of the University of Gothenburg
Academic staff of the Chalmers University of Technology
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https://en.wikipedia.org/wiki/Spatial%20Mathematics%3A%20Theory%20and%20Practice%20through%20Mapping
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Spatial Mathematics: Theory and Practice through Mapping is a book on the mathematics that underlies geographic information systems and spatial analysis. It was written by Sandra Arlinghaus and Joseph Kerski, and published in 2013 by the CRC Press.
Topics
The book has 10 chapters, divided into two sections on geodesy and on techniques for visualization of spatial data; each chapter has separate sections on theory and practice. For practical aspects of geographic information systems it uses ArcGIS as its example system.
In the first part of the book, Chapters 1 and 2 covers the geoid, the geographic coordinate system of latitudes and longitudes, and the measurement of distance and location. Chapter 3 concerns data structures for geographic information systems, data formatting based on raster graphics and vector graphics, methods for buffer analysis, and its uses in turning point and line data into area data. Later in the book, but fitting thematically into this part, chapter 9 covers map projections.
Moving from geodesy to visualization, chapters 4 and 5 concern the use of color and scale on maps. Chapter 6 concerns the types of data to be visualized, and the types of visualizations that can be made for them. Chapter 7 concerns spatial hierarchies and central place theory, while chapter 8 covers the analysis of spatial distributions in terms of their covariance. Finally, chapter 10 covers network and non-Euclidean data.
Additional material on the theoretical concepts behind the topics of the book is provided on a web site, accessed through QR codes included in the book.
Audience and reception
Reviewer reactions to the book were mixed. Several reviewers noted that, for a book with "mathematics" in its title, the book was surprisingly non-mathematical, with both Azadeh Mousavi and Paul Harris calling the title "misleading". Harris complains that "the maths is treated quite lightly and superficially". Alfred Stein notes the almost total absence of mathematical equations, and Daniel Griffith similarly notes the lack of proof of its mathematical claims.
Mousavi also writes that, although the book covers a broad selection of topics, it "suffers from lack of necessary depth" and that it is confusingly structured. Sang-Il Lee points to a lack of depth as the book's principal weakness. Stein notes that its reliance on a specific version of ArcGIS makes it difficult to reproduce its examples, especially for international users with different versions or for users of versions updated after its publication. Another weakness highlighted by Griffith is "its limited connection to the existing literature, with its citations far too often being only those works by its authors". Harris sees a missed opportunity in the omission of spatial statistics, movement data, and spatio-temporal data, the design of spatial data structures, and advanced techniques for visualizing geospatial data.
Nevertheless, Mousavi recommends this book as an "introductory text on spat
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https://en.wikipedia.org/wiki/Hu%20Haoyue
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Hu Haoyue (; born 1 June 2003) is a Chinese footballer currently playing as a midfielder for Suzhou Dongwu.
Career statistics
Club
.
References
2003 births
Living people
Chinese men's footballers
Men's association football midfielders
China League One players
Suzhou Dongwu F.C. players
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https://en.wikipedia.org/wiki/Chile%20national%20football%20team%20results%20%281980%E2%80%931999%29
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This page details the match results and statistics of the Chile national football team from 1980 to 1999.
Key
Key to matches
Att.=Match attendance
(H)=Home ground
(A)=Away ground
(N)=Neutral ground
Key to record by opponent
Pld=Games played
W=Games won
D=Games drawn
L=Games lost
GF=Goals for
GA=Goals against
Results
Chile's score is shown first in each case.
Notes
Record by opponent
References
Chile national football team results
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https://en.wikipedia.org/wiki/The%20History%20of%20Mathematics%3A%20A%20Very%20Short%20Introduction
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The History of Mathematics: A Very Short Introduction is a book on the history of mathematics. Rather than giving a systematic overview of the historical development of mathematics, it provides an introduction to how the discipline of the history of mathematics is studied and researched, through a sequence of case studies in historical topics. It was written by British historian of mathematics Jackie Stedall (1950–2014), and published in 2012 as part of the Oxford University Press Very Short Introductions series of books. It has been listed as essential for mathematics libraries, and won the Neumann Prize for books on the history of mathematics.
Topics
The History of Mathematics consists of seven chapters, featuring many case studies. Its first, "Mathematics: myth and history", gives a case study of the history of Fermat's Last Theorem and of Wiles's proof of Fermat's Last Theorem, making a case that the proper understanding of this history should go beyond a chronicle of individual mathematicians and their accomplishments, and that mathematics has always been done as part of a cultural milieu rather than as an isolated activity in an ivory tower. The second chapter takes a wider view, using the Chinese Book on Numbers and Computation as one of its case studies; it asks which cultural accomplishments should be counted as mathematics, and who counted as mathematicians, making the point that these two questions are not the same. The third chapter covers the way that ancient mathematics has been passed down to present historians, the ways that documentary evidence has been destroyed over the years, and the ways that, when it has been preserved, it has been altered in transmission. A case study here is Euclid's Elements and its transmission through Mathematics in medieval Islam to Europe.
Chapter 4 concerns the ways in which mathematics has been taught and learned, beginning with the scribal schools of Babylon and including also the historical role of women in mathematics, and chapter 5 concerns the ways in which its practitioners have supported themselves. Chapter 6 provides another case study, of the Pythagorean theorem, the different ways in which it has been reinterpreted, or other pieces of mathematics reinterpreted in its light, and the ways in which historians have shifted their views on questions of who was first for results like this that have been found across multiple ancient cultures. Another point of both chapters 3 and 6 is the importance of understanding mathematical works within the view of their subject at the time, rather than reinterpreting them anachronistically into modern concepts of mathematics. A final chapter discusses the history of the history of mathematics, as a discipline.
Audience and reception
The History of Mathematics is a quick read, largely avoids the use of formulas or other technical material, and is accessible to readers without significant background knowledge in this area. As well as being of general intere
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https://en.wikipedia.org/wiki/List%20of%20Lechia%20Gda%C5%84sk%20players
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This is a complete list of known Lechia Gdańsk players and their known competition statistics for the club since the clubs formation in 1945.
Information
This list also includes the players who played for Olimpia-Lechia Gdańsk and Lechia-Polonia Gdańsk due to these teams being created by mergers of Lechia Gdańsk and another team, and these teams replacing Lechia Gdańsk in the league. For the Olimpia-Lechia Gdańsk team, the club was a result of a merger between Lechia Gdańsk and Olimpia Poznań, the original Lechia Gdańsk team became known as Lechia Gdańsk II for the 1995–96 season, becoming the first team again the season after. Statistics for both the Olimpia-Lechia Gdańsk and Lechia Gdańsk II (for the 1995–96 season) are listed. The situation is slightly different with Lechia-Polonia Gdańsk who played from 1998 until 2002. This merger between Lechia Gdańsk and Polonia Gdańsk resulted in there being no Lechia Gdańsk team between 1998 and 2001, when the team reformed in the lowest divisions. For the 2001–02 season both Lechia-Polonia Gdańsk and the newly formed Lechia Gdańsk played in the leagues. Statistics for Lechia-Polonia Gdańsk from 1998 until 2002 are shown, as well as the original and current Lechia Gdańsk teams statistics since 2001. There are therefore two seasons in which two clubs count towards statistics for Lechia Gdańsk, 1995–1996 and 2001–2002. During the 1995–1996 season the original Lechia Gdańsk team was known as Lechia Gdańsk II, the league stats for the II team are being treated as normal II team stats and are included in the Other section.
There are 8 players where only the last name is known. Throughout the early years of Lechia's history the team did not always document players information as much as they do now, and news papers often only reported the players last names. Despite not knowing the full identity of these players they have still been included as they have still made appearances for Lechia Gdańsk.
Key
The table below identifies the sorting of the players stats.
Player statistics
The stats will be next updated after the end of the 2023–24 season and are correct as of 28 May 2023. This table will be updated at the end of each season, or before the end of the season for players who move to other clubs.
(Stats updated to 28 May 2023)
References
Lists of association football players by club
Lechia Gdańsk
Association football player non-biographical articles
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https://en.wikipedia.org/wiki/Amin%20Farouk
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Amin Farouk (; born 22 July 2003) is a German professional footballer who plays as a midfielder for Wehen Wiesbaden.
Career
On 27 January 2023, Farouk was loaned by FSV Frankfurt.
Career statistics
Weblinks
References
2003 births
Living people
German people of Egyptian descent
German men's footballers
Egyptian men's footballers
Footballers from Mainz
Men's association football midfielders
3. Liga players
1. FSV Mainz 05 players
SV Wehen Wiesbaden players
FSV Frankfurt players
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https://en.wikipedia.org/wiki/Jordy%20Makengo
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Jordy Makengo Basambundu (born 3 August 2001) is a French professional footballer who plays as a centre-back for SC Freiburg II.
Career statistics
References
External links
2001 births
Living people
Black French sportspeople
French sportspeople of Democratic Republic of the Congo descent
French men's footballers
Footballers from Saint-Denis, Seine-Saint-Denis
Men's association football central defenders
Championnat National 3 players
Championnat National 2 players
3. Liga players
Paris 13 Atletico players
AJ Auxerre players
SC Freiburg players
SC Freiburg II players
French expatriate men's footballers
French expatriate sportspeople in Germany
Expatriate men's footballers in Germany
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https://en.wikipedia.org/wiki/Tautness%20%28topology%29
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In mathematics, particularly in algebraic topology, a taut pair is a topological pair whose direct limit of cohomology module of open neighborhood of that pair which is directed downward by inclusion is isomorphic to the cohomology module of original pair.
Definition
For a topological pair in a topological space , a neighborhood of such a pair is defined to be a pair such that and are neighborhoods of and respectively.
If we collect all neighborhoods of , then we can form a directed set which is directed downward by inclusion. Hence its cohomology module is a direct system where is a module over a ring with unity. If we denote its direct limit by
the restriction maps define a natural homomorphism .
The pair is said to be tautly embedded in (or a taut pair in ) if is an isomorphism for all and .
Basic properties
For pair of , if two of the three pairs , and are taut in , so is the third.
For pair of , if and have compact triangulation, then in is taut.
If varies over the neighborhoods of , there is an isomorphism .
If and are closed pairs in a normal space , there is an exact relative Mayer-Vietoris sequence for any coefficient module
Properties related to cohomology theory
Let be any subspace of a topological space which is a neighborhood retract of . Then is a taut subspace of with respect to Alexander-Spanier cohomology.
every retract of an arbitrary topological space is a taut subspace of with respect to Alexander-Spanier cohomology.
A closed subspace of a paracompactt Hausdorff space is a taut subspace of relative to the Alexander cohomology theory
Note
Since the Čech cohomology and the Alexander-Spanier cohomology are naturally isomorphic on the category of all topological pairs, all of the above properties are valid for Čech cohomology. However, it's not true for singular cohomology (see Example)
Dependence of cohomology theory
Example
Let be the subspace of which is the union of four sets
The first singular cohomology of is and using the Alexander duality theorem on , as varies over neighborhoods of .
Therefore, is not a monomorphism so that is not a taut subspace of with respect to singular cohomology. However, since is closed in , it's taut subspace with respect to Alexander cohomology.
See also
Alexander-Spanier cohomology
Čech cohomology
References
Algebraic topology
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https://en.wikipedia.org/wiki/A%20History%20of%20Mathematical%20Notations
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A History of Mathematical Notations is a book on the history of mathematics and of mathematical notation. It was written by Swiss-American historian of mathematics Florian Cajori (1859–1930), and originally published as a two-volume set by the Open Court Publishing Company in 1928 and 1929, with the subtitles Volume I: Notations in Elementary Mathematics (1928) and Volume II: Notations Mainly in Higher Mathematics (1929). Although Open Court republished it in a second edition in 1974, it was unchanged from the first edition. In 1993, it was published as an 820-page single volume edition by Dover Publications, with its original pagination unchanged.
The Basic Library List Committee of the Mathematical Association of America has listed this book as essential for inclusion in undergraduate mathematics libraries. It was already described as long-awaited at the time of its publication, and by 2013, when the Dover edition was reviewed by Fernando Q. Gouvêa, he wrote that it was "one of those books so well known that it doesn’t need a review". However, some of its claims on the history of the notations it describes have been subsumed by more recent research, and its coverage of modern mathematics is limited, so it should be used with care as a reference.
Topics
The first volume of the book concerns elementary mathematics. It has 400 pages of material on arithmetic. This includes the history of notation for numbers from many ancient cultures, arranged by culture, with the Hindu–Arabic numeral system treated separately. Following this, it covers notation for arithmetic operations, arranged separately by operation and by the mathematicians who used those notations (although not in a strict chronological ordering). The first volume concludes with 30 pages on elementary geometry, including also the struggle between symbolists and rhetoricians in the 18th and 19th centuries on whether to express mathematics in notation or words, respectively.
The second volume is divided more evenly into four parts. The first part, on arithmetic and algebra, also includes mathematical constants and Special functionss that would nowadays be considered part of mathematical analysis, as well as notations for binomial coefficients and other topics in combinatorics, and even the history of the dollar sign. The second part is entitled "modern analysis", but its topics are primarily trigonometry, calculus, and mathematical logic, including the conflicting calculus notations of Isaac Newton and Gottfried Wilhelm Leibniz. The third part concerns geometry, while the fourth concerns scholarship in the history of mathematics as well as the movement for international standardization.
Audience and reception
This book is mainly a reference work and sourcebook, containing excerpts from many texts illustrating their use of notation.
Among reviewers from the time of the book's original publication, George Sarton took as the main lesson from this book "the slowness and timidity of human ad
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https://en.wikipedia.org/wiki/Raphael%20Hofer
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Raphael Hofer (born 14 February 2003) is an Austrian professional footballer who plays as a forward for Bundesliga club FC Blau-Weiß Linz on loan from FC Red Bull Salzburg.
Career statistics
Club
Notes
References
2003 births
Living people
Austrian men's footballers
Men's association football forwards
2. Liga (Austria) players
FC Red Bull Salzburg players
FC Liefering players
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https://en.wikipedia.org/wiki/Tolgahan%20Sahin
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Tolgahan Sahin (born 10 October 2004) is an Austrian professional footballer who plays as a midfielder for 2. Liga club Liefering.
Career statistics
Club
Notes
References
2004 births
Living people
Austrian men's footballers
Austria men's youth international footballers
Men's association football midfielders
2. Liga (Austria) players
LASK players
FC Red Bull Salzburg players
FC Liefering players
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https://en.wikipedia.org/wiki/Federico%20Crescenti
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Federico Leandro Crescenti (born 13 July 2004) is an Austrian-Swiss professional footballer who plays as a forward for 2. Liga club Liefering.
Career statistics
Club
Notes
References
2004 births
Living people
Austrian men's footballers
Swiss men's footballers
Switzerland men's youth international footballers
Men's association football forwards
2. Liga (Austria) players
FC St. Gallen players
FC Red Bull Salzburg players
FC Liefering players
People from Dornbirn
Footballers from Vorarlberg
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https://en.wikipedia.org/wiki/G%C3%B6ran%20Dillner
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Göran Dillner (April 26, 1832 – March 28, 1906) was a Swedish mathematician.
He founded the Swedish Tidskrift för matematik och fysik (Journal of Mathematics and Physics), and was its editor-in-chief in 1868–1871 and 1874. He was a city councilor in Uppsala from 1875 to 1882.
Works
G. Dillner (1873) "Traité de calcul géométrique supérieur", Nova acta Regiae Societatis Scientiarum Upsaliensis, Ser. III 8. https://archive.org/details/novaactaregiaeso38kung/page/n590
19th-century Swedish mathematicians
1832 births
1906 deaths
Mathematics journal editors
Swedish city councillors
Members of the Royal Society of Sciences in Uppsala
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https://en.wikipedia.org/wiki/Miquel%20Pons
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Miquel Pons Payeras (born 1 August 1997) is a Spanish motorcycle racer. He currently competes in the MotoE World Cup.
Career statistics
FIM CEV Stock 600 European Championship
Races by year
(key) (Races in bold indicate pole position, races in italics indicate fastest lap)
FIM Moto2 European Championship
Races by year
(key) (Races in bold indicate pole position) (Races in italics indicate fastest lap)
Supersport World Championship
Races by year
(key) (Races in bold indicate pole position; races in italics indicate fastest lap)
Grand Prix motorcycle racing
By season
By class
Races by year
(key) (Races in bold indicate pole position; races in italics indicate fastest lap)
References
External links
1997 births
Living people
Sportspeople from Palma de Mallorca
Spanish motorcycle racers
Moto2 World Championship riders
MotoE World Cup riders
Supersport World Championship riders
MotoE World Championship riders
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https://en.wikipedia.org/wiki/Wang%20Meng%20%28footballer%29
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Wang Meng (; born 16 March 1993) is a Chinese footballer.
Career statistics
Club
.
References
External links
1993 births
Living people
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football defenders
China League One players
China League Two players
U.D. Oliveirense players
Amora F.C. players
Yanbian Funde F.C. players
Shenyang Dongjin F.C. players
Suzhou Dongwu F.C. players
Chinese expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
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https://en.wikipedia.org/wiki/Peng%20Junxian
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Peng Junxian (; born 4 January 1997) is a Chinese footballer, currently playing as a midfielder for Beijing BSU.
Career statistics
Club
.
References
External links
1997 births
Living people
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football midfielders
China League One players
Guangzhou F.C. players
Beijing Sport University F.C. players
Chinese expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
21st-century Chinese people
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https://en.wikipedia.org/wiki/Event%20shape%20observables
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In high energy physics, event shapes observables are quantities used to characterize the geometry of the outcome of a collision between high energy particles in a collider. Specifically, event shapes observables quantify the general pattern traced by the trajectories of the particles resulting from the collision.
The most common event shape observables include:
The sphericity;
The aplanarity;
The thrust.
The C-parameter;
The jet broadening.
References
Experimental particle physics
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https://en.wikipedia.org/wiki/Scarlett%20Bellamy
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Scarlett Bellamy is an American public health researcher who is a Professor of the Department of Epidemiology and Biostatistics at Drexel University. At Drexel she is Associate Dean of Diversity, Inclusion and Faculty Development.
Early life and education
Bellamy was born in a rural own in North Carolina. She was raised by her grandparents. Her father's parents worked as farmers and her mother's mother worked in a hospital cafeteria. On the farm, Bellamy was involved with the summer harvest of tobacco, and learned to drive a tractor at the age of five. Bellamy spent her summer holidays taking part in a mathematics summer camp at North Carolina Central University. She was an undergraduate student at Hampton University, where she studied mathematics and graduated summa cum laude. She moved to Harvard University for graduate studies, where she focused on biostatistics. Bellamy completed her doctoral research at the Harvard T.H. Chan School of Public Health, supervised by Louise M. Ryan, where she made use of clustered data methods for community-based research. After graduating she worked as a statistical consultant for various organisations, including working on the East Boston Asthma Study.
Research and career
Bellamy was appointed to the faculty at the Perelman School of Medicine at the University of Pennsylvania in 2001. She was eventually promoted to Professor of Biostatistics. In 2016, Bellamy joined Drexel University as a Professor of Biostatistics and Director of the biostatistics graduate program. Her research considers the efficacy of interventions in longitudinal behavioural modification trials. In particular, she has focused on HIV/AIDS, cardiovascular disease and healthy living.
Bellamy was elected a Fellow of the American Statistical Association in 2016. Bellamy was made President of the North American region in the International Biometric Society in 2017. She joined the adjunct faculty at the Harvard T.H. Chan School of Public Health in 2021, where she was responsible for providing career mentorship for people from historically marginalized groups.
Selected publications
References
Year of birth missing (living people)
Living people
American women statisticians
Biostatisticians
Hampton University alumni
Harvard T.H. Chan School of Public Health alumni
University of Pennsylvania faculty
Drexel University faculty
Fellows of the American Statistical Association
21st-century American women
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https://en.wikipedia.org/wiki/Double%20extension%20set%20theory
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In mathematics, the Double extension set theory (DEST) is an axiomatic set theory proposed by Andrzej Kisielewicz consisting of two separate membership relations on the universe of sets, denoted here by and , and a set of axioms relating the two. The intention behind defining the two membership relations is to avoid the usual paradoxes of set theory, without substantially weakening the axiom of unrestricted comprehension.
Intuitively, in DEST, comprehension is used to define the elements of a set under one membership relation using formulas that involve only the other membership relation. Let be a first-order formula with free variable in the language of DEST not involving the membership relation . Then, the axioms of DEST posit a set such that . For instance, is a formula involving only , and thus DEST posits the Russell set , where . Observe that for , we obtain . Since the membership relations are different, we thus avoid the Russell's paradox.
The focus in DEST is on regular sets, which are sets whose extensions under the two membership relations coincide, i.e., sets for which it holds that . The preceding discussion suggests that the Russell set cannot be regular, as otherwise it leads to the Russell's paradox.
References
Systems of set theory
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https://en.wikipedia.org/wiki/Davide%20Di%20Francesco
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Davide Di Francesco (born 19 January 2001) is an Italian professional footballer who plays as a winger.
Club career
On 21 July 2022, Di Francesco signed with Monterosi.
Career statistics
References
External links
2001 births
Living people
Footballers from the Province of Teramo
Italian men's footballers
Men's association football midfielders
Serie C players
Ascoli Calcio 1898 FC players
Juventus FC players
Alma Juventus Fano 1906 players
SSD Città di Teramo players
ASD Campobasso 1919 players
Monterosi Tuscia FC players
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https://en.wikipedia.org/wiki/Mathematics%20of%20apportionment
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Mathematics of apportionment describes mathematical principles and algorithms for fair allocation of identical items among parties with different entitlements. Such principles are used to apportion seats in parliaments among federal states or political parties. See apportionment (politics) for the more concrete principles and issues related to apportionment, and apportionment by country for practical methods used around the world.
Mathematically, an apportionment method is just a method of rounding fractions to integers. As simple as it may sound, each and every method for rounding suffers from one or more paradoxes. The mathematical theory of apportionment aims to decide what paradoxes can be avoided, or in other words, what properties can be expected from an apportionment method.
The mathematical theory of apportionment was studied as early as 1907 by the mathematician Agner Krarup Erlang. It was later developed to a great detail by the mathematician Michel Balinsky and the economist Peyton Young. Besides its application to political parties, it is also applicable to fair item allocation when agents have different entitlements. It is also relevant in manpower planning - where jobs should be allocated in proportion to characteristics of the labor pool, to statistics - where the reported rounded numbers of percentages should sum up to 100%, and to bankruptcy problems.
Definitions
Input
The inputs to an apportionment method are:
A positive integer representing the total number of items to allocate. It is also called the house size, since in many cases, the items to allocate are seats in a house of representatives.
A positive integer representing the number of agents to which items should be allocated. For example, these can be federal states or political parties.
A vector of numbers representing entitlements - represents the entitlement of agent , that is, the amount of items to which is entitled (out of the total of ). These entitlements are often normalized such that . Alternatively, they can be normalized such that their sum is ; in this case the entitlements are called quotas and termed denoted by , where and . Alternatively, one is given a vector of populations ; here, the entitlement of agent is .
Output
The output is a vector of integers with , called an apportionment of , where is the number of items allocated to agent i.
For each agent , the real number is called the quota of , and denotes the exact number of items that should be given to . In general, a "fair" apportionment is one in which each allocation is as close as possible to the quota .
An apportionment method may return a set of apportionment vectors (in other words: it is a multivalued function). This is required, since in some cases there is no fair way to distinguish between two possible solutions. For example, if (or any other odd number) and , then (50,51) and (51,50) are both equally reasonable solutions, and there is no mathematical way to choose o
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https://en.wikipedia.org/wiki/Wolfgang%20Soergel
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Wolfgang Soergel (born 12 June 1962 in Geneva) is a German mathematician, specializing in geometry and representation theory.
Biography
He spent his youth in Heidelberg, where he passed the Abitur examination in 1980 at the . He studied mathematics and physics in Geneva and Bonn and received his Promotion (PhD) in 1988 from the University of Hamburg. His PhD dissertation Universelle versus relative Einhüllende: Eine geometrische Untersuchung von Quotienten von universellen Einhüllenden halbeinfacher Lie-Algebren (Universal versus relative envelopes: a geometric investigation of quotients of universal envelopes of semi-simple Lie algebras) was supervised by Jens Carsten Jantzen. After postdoctoral positions at U. C. Berkeley, Harvard University, and MIT, Soergel completed his Habilitation at the University of Bonn in 1991. In 1994 he was appointed to a professorial chair at the University of Freiburg. He was an invited speaker at the 1994 International Congress of Mathematicians in Zurich. Since 2008 he has been a full member of the Heidelberg Academy of Sciences and Humanities.
He is the author or coauthor of over 30 research articles. His research in representation theory has important applications to Kazhdan-Lusztig theory and Koszul duality. The category of Soergel bimodules is named in his honor.
His doctoral students include Peter Fiebig, Catharina Stroppel and Geordie Williamson.
Wolfgang Soergel is the son of the physicist and a grandson of the paleontologist (1887–1946).
Selected publications
Langlands’ Philosophy and Koszul Duality. In: I. Klaus W. Roggenkamp, Mirela Ștefănescu (ed.): Algebra – representation theory. (Proceedings of the NATO Advanced Study Institute on Algebra – Representation Theory, Constanta, Romania, 2–12 August 2000) (= NATO Science Series. Series 2: Mathematics, Physics and Chemistry. 28). Kluwer Academic, Dordrecht u. a. 2001, ISBN 0-7923-7113-5, pp. 379–414.
with Alexander Beilinson, Victor Ginzburg: Koszul duality patterns in representation theory. In: Journal of the American Mathematical Society. vol. 9, no. 2, 1996, pp. 473–527, .
Gradings on Representation Categories. In: Srishti D. Chatterji (ed.): Proceedings of the International Congress of Mathematicians. August 3–11, 1994, Zürich, Switzerland. vol. 2. Basel etc., Birkhäuser 1995, ISBN 3-7643-5153-5, pp. 800–806.
with Henning H. Andersen, Jens C. Jantzen: Representations of quantum groups at a -th root of unity and of semisimple groups in characteristic : independence of (= Astérisque. 220, ). Société Mathématique de France, Paris 1994.
Kategorie 𝓞, perverse Garben, und Moduln über den Koinvarianten zur Weylgruppe. In: Journal of the American Mathematical Society. vol. 3, no. 2, 1990, pp. 421–445, .
References
20th-century German mathematicians
21st-century German mathematicians
University of Hamburg alumni
Academic staff of the University of Freiburg
1962 births
Living people
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https://en.wikipedia.org/wiki/Oceania%20association%20football%20club%20records%20and%20statistics
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This article details men's professional association football club records and statistics in Oceania.
Individual records
Most goals in a season
In the 2020–21 season, Joses Nawo became the player with the most goals scored in a single season with 35 goals for the Henderson Eels. He passed Sasho Petrovski's tally of 34 goals from the 2000–01 season.
All records happened while the players' clubs in top-flight domestic league
*: No domestic cup competition held
**: No Oceania football competition
Club records
Most consecutive national league titles
Source:
15 – Tafea (1994–2009)
11 – Lotohaʻapai United (1998–2008)
11 – Nauti (1980–1990)
10 – Nauti (2007–2016)
9 – Titikaveka (1971–1979)
8 – Hekari United (2006–2014)
8 – Central Sport (1972–1979)
Highest goal margin in Oceania Club Championship
16 – Central United 16–0 Lotoha'apai in 1999 Oceania Club Championship
16 – Lotoha'apai 0–16 Wollongong Wolves in 2001 Oceania Club Championship
Notes
References
Association football club records and statistics
Association football in Oceania
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https://en.wikipedia.org/wiki/Ayn%20al-Bayda%2C%20Rif%20Dimashq
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Ayn al-Bayda () which means White Spring, is a Syrian village located in Markaz Rif Dimashq District, Rif Dimashq. According to the Syria Central Bureau of Statistics (CBS), Ayn al-Bayda had a population of 1,252 in the 2004 census. Nearby localities include Al-Taybah, Khiyarat Dannun and Zakiyah.
References
Populated places in Markaz Rif Dimashq District
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https://en.wikipedia.org/wiki/Ayn%20al-Souda%2C%20Rif%20Dimashq%20Governorate
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Ayn al-Souda () which means Black Spring, is a Syrian village located in Markaz Rif Dimashq District, Rif Dimashq. According to the Syria Central Bureau of Statistics (CBS), Ayn al-Souda had a population of 809 in the 2004 census. Nearby localities include Ayn al-Bayda and Khiyarat Dannun.
References
Populated places in Markaz Rif Dimashq District
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https://en.wikipedia.org/wiki/Giovanni%20Felder
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Giovanni Felder (18 November 1958 in Aarau) is a Swiss mathematical physicist and mathematician, working at ETH Zurich. He specializes in algebraic and geometric properties of integrable models of statistical mechanics and quantum field theory.
Education and career
Felder attended school in Lugano and Willisau District. He studied physics at ETH Zurich, where he graduated with M.Sc. in 1982 and with Ph.D. in 1986. His doctoral dissertation, entitled Renormalization Group, Tree Expansion, and Non-renormalizable Quantum Field Theories, was supervised by Jürg Fröhlich (and Konrad Osterwalder).
Felder held postdoctoral positions from 1986 to 1988 at IHES, from 1988 to 1989 at the Institute for Advanced Study, and from 1989 to 1991 at the Institute of Theoretical Physics, ETH Zurich.
From 1991 to 1994 he became an assistant professor of mathematics at ETH Zurich. From 1994 to 1996 he worked as professor of mathematics at the University of North Carolina. In 1996 he returned at ETH Zurich as professor of mathematics. From 2013 to 2019, he was the director of the Institute for Theoretical Studies at ETH Zurich.
In 1994 Felder was an invited speaker at the International Congress of Mathematicians in Zurich. He was elected member of the Academia Europaea in 2012 and fellow of the American Mathematical Society in 2013.
Research
Felder's research involves mathematical problems motivated by physical ideas.
In the late 1980s Felder did research with Krzysztof Gawedzki and Antti Kupiainen on the geometry of the Wess-Zumino-Witten model in conformal field theory. In 1989 he introduced a BRST approach to the "minimal two-dimensional conformal invariant models of Belavin, Polyakov and Zamolodchikov."
With Alexander Varchenko and Vitaly Tarasov, Felder did research on various integrable models in quantum field theory and statistical mechanics and resulting special functions (such as the elliptic gamma function, elliptic quantum groups, and elliptic Macdonald polynomials).
With Alberto Cattaneo in 2000 he gave a path integral interpretation of Kontsevich's deformation quantization of Poisson manifolds as well as a description of the symplectic groupoid integrating a Poisson manifold as an infinite-dimensional symplectic quotient.
He supervised 22 doctoral students as of 2022, including Thomas Willwacher.
References
External links
20th-century Swiss mathematicians
21st-century Swiss mathematicians
20th-century Swiss physicists
21st-century Swiss physicists
Mathematical physicists
ETH Zurich alumni
Academic staff of ETH Zurich
Members of Academia Europaea
Fellows of the American Mathematical Society
1958 births
Living people
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https://en.wikipedia.org/wiki/Nazmi%20Ahmad
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Muhammad Nazmi bin Ahmad (born 22 February 1998) is a Malaysian footballer who plays as a centre-back for Perak.
Career statistics
Club
References
External links
1998 births
Living people
Malaysian men's footballers
Perak F.C. players
Malaysian people of Malay descent
Men's association football defenders
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https://en.wikipedia.org/wiki/Zureiqiya
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Zureiqiya (), is a Syrian village located in Markaz Rif Dimashq District, Rif Dimashq. According to the Syria Central Bureau of Statistics (CBS), Zuraiqiya had a population of 749 in the 2004 census. Nearby localities include Arkis, Ghabaghib, Kanakir, and Deir al-Bukht.
References
Populated places in Markaz Rif Dimashq District
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https://en.wikipedia.org/wiki/Hitchin%27s%20equations
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In mathematics, and in particular differential geometry and gauge theory, Hitchin's equations are a system of partial differential equations for a connection and Higgs field on a vector bundle or principal bundle over a Riemann surface, written down by Nigel Hitchin in 1987. Hitchin's equations are locally equivalent to the harmonic map equation for a surface into the symmetric space dual to the structure group. They also appear as a dimensional reduction of the self-dual Yang–Mills equations from four dimensions to two dimensions, and solutions to Hitchin's equations give examples of Higgs bundles and of holomorphic connections. The existence of solutions to Hitchin's equations on a compact Riemann surface follows from the stability of the corresponding Higgs bundle or the corresponding holomorphic connection, and this is the simplest form of the Nonabelian Hodge correspondence.
The moduli space of solutions to Hitchin's equations was constructed by Hitchin in the rank two case on a compact Riemann surface and was one of the first examples of a hyperkähler manifold constructed.
The nonabelian Hodge correspondence shows it is isomorphic to the Higgs bundle moduli space, and to the moduli space of holomorphic connections.
Using the metric structure on the Higgs bundle moduli space afforded by its description in terms of Hitchin's equations, Hitchin constructed the Hitchin system, a completely integrable system whose twisted generalization over a finite field was used by Ngô Bảo Châu in his proof of the fundamental lemma in the Langlands program, for which he was afforded the 2010 Fields medal.
Definition
The definition may be phrased for a connection on a vector bundle or principal bundle, with the two perspectives being essentially interchangeable. Here the definition of principal bundles is presented, which is the form that appears in Hitchin's work.
Let be a principal -bundle for a compact real Lie group over a compact Riemann surface. For simplicity we will consider the case of or , the special unitary group or special orthogonal group. Suppose is a connection on , and let be a section of the complex vector bundle , where is the complexification of the adjoint bundle of , with fibre given by the complexification of the Lie algebra of . That is, is a complex -valued -form on . Such a is called a Higgs field in analogy with the auxiliary Higgs field appearing in Yang–Mills theory.
For a pair , Hitchin's equations assert that
where is the curvature form of , is the -part of the induced connection on the complexified adjoint bundle , and is the commutator of -valued one-forms in the sense of Lie algebra-valued differential forms.
Since is of type , Hitchin's equations assert that the -component . Since , this implies that is a Dolbeault operator on and gives this Lie algebra bundle the structure of a holomorphic vector bundle. Therefore, the condition means that is a holomorphic -valued -form on . A pair consisting of a
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https://en.wikipedia.org/wiki/Alberto%20Cattaneo
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Alberto Sergio Cattaneo (26 June 1967 in Milan) is an Italian mathematician and mathematical physicist, specializing in geometry related to quantum field theory and string theory.
Biography
After attending Liceo scientifico A. Volta in Milan, Cattaneo studied physics at University of Milan, graduating in 1991. In 1995 he obtained a PhD in theoretical physics at the same university; his thesis, entitled Teorie topologiche di tipo BF ed invarianti dei nodi (Topological BF theories and knot invariants), was supervised by Maurizio Martellini.
Cattaneo worked as a postdoc in 1995-1997 at Harvard University (with Arthur Jaffe) and in 1997-1998 at University of Milan (with Paolo Cotta-Ramusino). In 1998 he moved to University of Zurich's mathematics department as assistant professor and he become full professor in 2003.
In 2006 he was an invited speaker, with the talk From topological field theory to deformation quantization and reduction, at the International Congress of Mathematicians in Madrid. Cattaneo was elected a Fellow of the American Mathematical Society in 2013.
Research
Cattaneo's research interests include deformation quantization, symplectic and Poisson geometry, topological quantum field theories, and the mathematical aspects of perturbative quantization of gauge theories.
With Giovanni Felder he developed a path integral interpretation of the deformation quantization of Poisson manifolds (introduced in 2003 by Maxim Kontsevich), as well as a description of the symplectic groupoid integrating a Poisson manifold as an infinite-dimensional symplectic quotient.
He supervised 14 PhD students as of 2022.
Selected publications
Articles
Books
with Alain Bruguières, Bernhard Keller, Charles Torossian:
as editor
References
External links
20th-century Italian mathematicians
21st-century Italian mathematicians
20th-century Italian physicists
21st-century Italian physicists
Mathematical physicists
University of Milan alumni
Academic staff of ETH Zurich
Fellows of the American Mathematical Society
1967 births
Living people
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https://en.wikipedia.org/wiki/Limiting%20amplitude%20principle
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In mathematics, the limiting amplitude principle is a concept from operator theory and scattering theory used for choosing a particular solution to the Helmholtz equation. The choice is made by considering a particular time-dependent problem of the forced oscillations due to the action of a periodic force.
The principle was introduced by Andrey Nikolayevich Tikhonov and Alexander Andreevich Samarskii.
It is closely related to the limiting absorption principle (1905) and the Sommerfeld radiation condition (1912).
The terminology -- both the limiting absorption principle and the limiting amplitude principle -- was introduced by Aleksei Sveshnikov.
Formulation
To find which solution to the Helmholz equation with nonzero right-hand side
with some fixed , corresponds to the outgoing waves,
one considers the wave equation with the source term,
with zero initial data . A particular solution to the Helmholtz equation corresponding to outgoing waves is obtained as the limit
for large times.
See also
Limiting absorption principle
Sommerfeld radiation condition
References
Linear operators
Operator theory
Scattering theory
Spectral theory
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https://en.wikipedia.org/wiki/Igor%20Inoc%C3%AAncio
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Igor Inocêncio de Oliveira (born 20 April 1998), known as Igor Inocêncio or just Igor, is a Brazilian footballer who plays as a right back for Avaí, on loan from Ceará.
Career statistics
References
External links
1998 births
Living people
Sportspeople from João Pessoa, Paraíba
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Auto Esporte Clube (PB) players
Águia de Marabá Futebol Clube players
Clube Esportivo Lajeadense players
Esporte Clube Juventude players
Coritiba Foot Ball Club players
Ceará Sporting Club players
Centro Sportivo Alagoano players
Avaí FC players
Footballers from Paraíba
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https://en.wikipedia.org/wiki/Salajidin%20Akramjan
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Salajidin Akramjan (; born 12 March 1991) is a Chinese footballer currently playing as a goalkeeper for Yanbian Longding.
Career statistics
Club
.
References
1991 births
Living people
Chinese men's footballers
Men's association football goalkeepers
China League One players
Xinjiang Tianshan Leopard F.C. players
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https://en.wikipedia.org/wiki/Eniwar%20Ekremjan
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Eniwar Ekremjan (; born 15 January 1999) is a Chinese footballer currently playing as a left-back for Xinjiang Tianshan Leopard.
Career statistics
Club
.
References
1999 births
Living people
Chinese men's footballers
Men's association football defenders
China League One players
Xinjiang Tianshan Leopard F.C. players
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https://en.wikipedia.org/wiki/Mirza%27ekber%20Alimjan
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Mirza'ekber Alimjan (; born 28 January 1995) is a Chinese footballer currently playing as a defender for Guangxi Hengchen.
Career statistics
Club
.
References
1995 births
Living people
Chinese men's footballers
Men's association football defenders
China League Two players
China League One players
Shenyang Dongjin F.C. players
Xinjiang Tianshan Leopard F.C. players
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https://en.wikipedia.org/wiki/Mijit%20Arapat
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Mijit Arapat (; ; born 8 September 1991) is a Chinese footballer most recently playing as a right-back for Xinjiang Tianshan Leopard.
Career statistics
Club
.
References
1991 births
Living people
Chinese men's footballers
Men's association football defenders
China League One players
Xinjiang Tianshan Leopard F.C. players
21st-century Chinese people
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https://en.wikipedia.org/wiki/Abdulla%20Abduwal
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Abdulla Abduwal (; born 8 September 1999) is a Chinese footballer most recently as a forward for Xinjiang Tianshan Leopard.
Career statistics
Club
.
References
1999 births
Living people
Chinese men's footballers
Men's association football forwards
China League One players
Xinjiang Tianshan Leopard F.C. players
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https://en.wikipedia.org/wiki/Shirzat%20Halil
|
Shirzat Halil (; born 21 January 1997) is a Chinese footballer who played most recently as a midfielder for Xinjiang Tianshan Leopard.
Career statistics
Club
.
References
1997 births
Living people
Chinese men's footballers
Men's association football midfielders
China League One players
Chongqing Liangjiang Athletic F.C. players
Xinjiang Tianshan Leopard F.C. players
21st-century Chinese people
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https://en.wikipedia.org/wiki/Ling%20Jie%20%28footballer%29
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Ling Jie (; born 22 January 2003) is a Chinese footballer currently playing as a forward for Guangzhou.
Career statistics
Club
.
References
2003 births
Living people
Chinese men's footballers
Men's association football forwards
Chinese Super League players
Guangzhou F.C. players
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https://en.wikipedia.org/wiki/Shi%20Jian%20%28footballer%29
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Shi Jian (; born 16 July 1999) is a Chinese footballer currently playing as a forward for Qingdao West Coast.
Career statistics
Club
.
References
1999 births
Living people
Chinese men's footballers
Men's association football forwards
China League One players
Shanghai Port F.C. players
Xinjiang Tianshan Leopard F.C. players
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https://en.wikipedia.org/wiki/Jhony%20Douglas
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Jhony Douglas Santiago (born 19 February 1997), known as Jhony Douglas is a Brazilian footballer who plays as a defensive midfielder for São Bernardo FC.
Career statistics
References
External links
1997 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Paraná Clube players
Paysandu Sport Club players
Coritiba Foot Ball Club players
Associação Atlética Internacional (Limeira) players
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https://en.wikipedia.org/wiki/Danyar%20Musajan
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Danyar Musajan (; born 12 October 1997) is a Chinese footballer currently playing as a midfielder for Chinese club Guangxi Hengchen.
Career statistics
Club
.
References
1997 births
Living people
Chinese men's footballers
Men's association football midfielders
China League One players
Xinjiang Tianshan Leopard F.C. players
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https://en.wikipedia.org/wiki/Plethystic%20exponential
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In mathematics, the plethystic exponential is a certain operator defined on (formal) power series which, like the usual exponential function, translates addition into multiplication. This exponential operator appears naturally in the theory of symmetric functions, as a concise relation between the generating series for elementary, complete and power sums homogeneous symmetric polynomials in many variables. Its name comes from the operation called plethysm, defined in the context of so-called lambda rings.
In combinatorics, the plethystic exponential is a generating function for many well studied sequences of integers, polynomials or power series, such as the number of integer partitions. It is also an important technique in the enumerative combinatorics of unlabelled graphs, and many other combinatorial objects.
In geometry and topology, the plethystic exponential of a certain geometric/topologic invariant of a space, determines the corresponding invariant of its symmetric products.
Definition, main properties and basic examples
Let be a ring of formal power series in the variable , with coefficients in a commutative ring . Denote by
the ideal consisting of power series without constant term. Then, given , its plethystic exponential is given by
where is the usual exponential function. It is readily verified that (writing simply when the variable is understood):
Some basic examples are:
In this last example, is number of partitions of .
The plethystic exponential can be also defined for power series rings in many variables.
Product-sum formula
The plethystic exponential can be used to provide innumerous product-sum identities. This is a consequence of a product formula for plethystic exponentials themselves. If denotes a formal power series with real coefficients , then it is not difficult to show that:The analogous product expression also holds in the many variables case. One particularly interesting case is its relation to integer partitions and to the cycle index of the symmetric group.
Relation with symmetric functions
Working with variables , denote by the complete homogeneous symmetric polynomial, that is the sum of all monomials of degree k in the variables , and by the elementary symmetric polynomials. Then, the and the are related to the power sum polynomials: by Newton's identities, that can succinctly be written, using plethystic exponentials, as:
Macdonald's formula for symmetric products
Let X be a finite CW complex, of dimension d, with Poincaré polynomialwhere is its kth Betti number. Then the Poincaré polynomial of the nth symmetric product of X, denoted , is obtained from the series expansion:
The plethystic programme in physics
In a series of articles, a group of theoretical physicists, including Bo Feng, Amihay Hanany and Yang-Hui He, proposed a programme for systematically counting single and multi-trace gauge invariant operators of supersymmetric gauge theories. In the case of quiver gaug
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https://en.wikipedia.org/wiki/Minem%20Mehmudjan
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Minem Mehmudjan (; born 15 January 1994) is a Chinese footballer who played most recently as a defender for Xinjiang Tianshan Leopard.
Career statistics
Club
.
References
1994 births
Living people
Footballers from Xinjiang
Chinese men's footballers
Men's association football defenders
China League One players
Xinjiang Tianshan Leopard F.C. players
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https://en.wikipedia.org/wiki/Takeuti%E2%80%93Feferman%E2%80%93Buchholz%20ordinal
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In the mathematical fields of set theory and proof theory, the Takeuti–Feferman–Buchholz ordinal (TFBO) is a large countable ordinal, which acts as the limit of the range of Buchholz's psi function and Feferman's theta function. It was named by David Madore, after Gaisi Takeuti, Solomon Feferman and Wilfried Buchholz. It is written as using Buchholz's psi function, an ordinal collapsing function invented by Wilfried Buchholz, and in Feferman's theta function, an ordinal collapsing function invented by Solomon Feferman. It is the proof-theoretic ordinal of several formal theories:
, a subsystem of second-order arithmetic
-comprehension + transfinite induction
IDω, the system of ω-times iterated inductive definitions
Despite being one of the largest large countable ordinals and recursive ordinals, it is still vastly smaller than the proof-theoretic ordinal of ZFC.
Definition
Let represent the smallest uncountable ordinal with cardinality .
Let represent the th epsilon number, equal to the th fixed point of
Let represent Buchholz's psi function
References
Proof_theory
Ordinal_numbers
Set_theory
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https://en.wikipedia.org/wiki/Ca%C3%ADque%20%28footballer%2C%20born%202%20July%202000%29
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Caíque Calito Fernandes Costa (born 3 July 2000), commonly known as Caíque, is a Brazilian footballer who plays for Tombense.
Career statistics
Club
Notes
References
2000 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
Footballers from São Paulo
Associação Atlética Francana players
Vila Nova Futebol Clube players
CE Operário Várzea-Grandense players
Tombense Futebol Clube players
FC Porto players
FC Porto B players
Brazilian expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
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https://en.wikipedia.org/wiki/Wesley%20Augusto%20Henn%20Marth
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Wesley Augusto Henn Marth (born 5 March 2000), commonly known as Wesley, is a Brazilian footballer who plays for Tombense.
Career statistics
Club
Notes
References
2000 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football defenders
Figueirense FC players
Club Athletico Paranaense players
Grêmio Foot-Ball Porto Alegrense players
Tombense Futebol Clube players
FC Porto players
FC Porto B players
Brazilian expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
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https://en.wikipedia.org/wiki/Sascha%20Risch
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Sascha Risch (born 13 April 2000) is a German professional footballer who plays as a left-back for club SSV Ulm 1846.
Career statistics
References
External links
2000 births
Living people
German men's footballers
Men's association football fullbacks
3. Liga players
Regionalliga players
SC Freiburg players
SC Freiburg II players
SV Meppen players
SSV Ulm 1846 players
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https://en.wikipedia.org/wiki/Philip%20Fahrner
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Philip Fahrner (born 2 January 2003) is a German footballer who plays as a midfielder for SC Freiburg II.
Career statistics
References
2003 births
Living people
German men's footballers
Men's association football midfielders
3. Liga players
SSV Reutlingen 05 players
SC Freiburg players
SC Freiburg II players
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https://en.wikipedia.org/wiki/Dildar%20Atmaca
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Dildar Atmaca (born 17 October 2002) is a German footballer who plays as a winger for 1. FC Bocholt.
Career statistics
References
2002 births
German sportspeople of Turkish descent
Footballers from Bielefeld
Living people
German men's footballers
Men's association football forwards
Hannover 96 players
Arminia Bielefeld players
Würzburger Kickers players
SC Preußen Münster players
1. FC Bocholt players
3. Liga players
Oberliga (football) players
Regionalliga players
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https://en.wikipedia.org/wiki/Rodrigo%20Huescas
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Rodrigo Jhossel Huescas Hurtado (born 18 September 2003) is a Mexican professional footballer who plays as a winger for Liga MX club Cruz Azul.
Career statistics
Club
Honours
Cruz Azul
Supercopa de la Liga MX: 2022
Mexico Youth
Revelations Cup: 2022
Central American and Caribbean Games: 2023
References
2003 births
Living people
People from Naucalpan
Men's association football forwards
Liga MX players
Cruz Azul footballers
Footballers from the State of Mexico
Mexican men's footballers
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https://en.wikipedia.org/wiki/Giancarlos%20Ochoa
|
Giancarlos Fabián Ochoa Gonzales (born 18 April 2005), is a Bolivian footballer who plays as a forward for The Strongest.
Career statistics
Club
Notes
References
2005 births
Living people
Bolivian men's footballers
Men's association football forwards
Bolivian Primera División players
The Strongest players
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https://en.wikipedia.org/wiki/Santiago%20Castro%20%28footballer%2C%20born%202004%29
|
Santiago Tomás Castro (born 18 September 2004) is an Argentine professional footballer who plays as a forward for Vélez Sarsfield.
Career statistics
Club
Notes
References
2004 births
Living people
Argentine men's footballers
Men's association football forwards
Argentine Primera División players
Club Atlético Vélez Sarsfield footballers
Argentina men's youth international footballers
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https://en.wikipedia.org/wiki/Agust%C3%ADn%20Galli
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Agustín Galli (born 17 November 2004) is an Argentine footballer currently playing as a midfielder for Belgrano.
Career statistics
Club
References
2004 births
Living people
Argentine men's footballers
Men's association football forwards
Primera Nacional players
Club Atlético Belgrano footballers
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https://en.wikipedia.org/wiki/Lucas%20Palma
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Lucas Leonel Palma (born 5 May 2003) is an Argentine footballer currently playing as a forward for Boca Juniors.
Career statistics
Club
References
2003 births
Living people
Footballers from Tucumán Province
Argentine men's footballers
Men's association football forwards
Argentine Primera División players
Boca Juniors footballers
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https://en.wikipedia.org/wiki/Roswitha%20Blind
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Roswitha Blind (also published as Roswitha Hammer) is a German mathematician, specializing in convex geometry, discrete geometry, and polyhedral combinatorics, and a politician and organizer for the Social Democratic Party of Germany in Stuttgart.
Mathematics
As Roswitha Hammer, Blind completed a Ph.D. in 1974 at the University of Stuttgart. Her dissertation, Über konvexe Strukturen und die Beziehungen zur elementaren Konvexität, concerned convex geometry and discrete geometry and was supervised by Kurt Leichtweiss.
She is best known in mathematics for a 1987 publication with Peter Mani-Levitska in which, solving a conjecture of Micha Perles, she and Mani-Levitska proved that the combinatorial structure of simple polytopes is completely determined by their graphs. This result has been called the Blind–Mani theorem or the Perles–Blind–Mani theorem.
In a 1979 publication, she introduced a class of convex polytopes sometimes called the Blind polytopes, generalizing the semiregular polytopes and Johnson solids, in which all faces are regular polytopes.
Politics
Blind became a city councillor in the Möhringen-Vaihingen district of Stuttgart in 2004, stepping down from that seat in 2009 in order to become chair of the Social Democratic Party of Germany local council group. As councillor, in order to better serve the youth of her district, she became chair of a local football club, 1. FC Lauchhau-Lauchäcker, in 2006, also serving as president of the Stuttgart Sports Forum.
She retired from politics in 2014, and from her position with the football club in 2016.
References
Year of birth missing (living people)
Living people
20th-century German mathematicians
German women mathematicians
University of Stuttgart alumni
Politicians from Stuttgart
21st-century German mathematicians
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https://en.wikipedia.org/wiki/Val%20%28footballer%2C%20born%201997%29
|
Valdemir de Oliveira Soares (born 12 March 1997), known as Val is a Brazilian professional footballer who plays as a midfielder or right-back for Liga Portugal 2 club Marítimo.
Career statistics
Honours
Brasil de Pelotas
Taça Centenário: 2018
References
External links
1997 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Liga Portugal 2 players
Sport Club Internacional players
Grêmio Esportivo Brasil players
ABC Futebol Clube players
Botafogo Futebol Clube (SP) players
Coritiba Foot Ball Club players
C.S. Marítimo players
Footballers from Pará
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https://en.wikipedia.org/wiki/Mihai%20Lixandru
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Mihai Daniel Lixandru (born 5 June 2001) is a Romanian professional footballer who plays as a defensive midfielder for Liga I club FCSB.
Career statistics
Club
References
External links
2001 births
Living people
Footballers from Bucharest
Romanian men's footballers
Romania men's under-21 international footballers
Men's association football midfielders
Liga I players
Liga II players
FC Steaua București players
ACS Viitorul Târgu Jiu players
CS Gaz Metan Mediaș players
CS Mioveni players
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https://en.wikipedia.org/wiki/Samuel%20Lubkin
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Samuel Lubkin (1906-1972) was a mathematician and computer scientist instrumental in the early history of computing.
Life
Lubkin studied mathematics at Cooper Union in New York City, and was president of the Cooper Union Mathematics Club in the 1923-1924 academic year. He received a PhD in applied mathematics from Courant Institute of Mathematical Sciences.
He later went on to work on the design of the ENIAC computer while at the Moore School of Electrical Engineering at the University of Pennsylvania.
Lubkin afterwards joined the US Army's Ballistic Research Laboratory to work with other ENIAC designers on the design of the EDVAC computer's programming system, It has been claimed that the "Operating Manual for the EDVAC", which was authored by Lubkin, was "the bible of the computer industry in the late 1940s and early 1950s".
After that he joined the design team who went on to build the first UNIVAC computer.
In the 1940s, Reeves Instrument Corporation hired Lubkin to lead a project designing their first digital computer. Reeves later decided to build analogue computers instead (which ultimately resulted in the Reeves Electronic Analog Computer series of machines), and Lubkin left the company for a job in the digital computer division of the National Bureau of Standards (the US government organization later renamed the National Institute of Standards and Technology).
The bureau essentially hired Lubkin to replicate his design for the EDVAC, and this would go on to become the bureau's SEAC computer.
Electronic Computer Corporation
Within a few months, Lubkin left the bureau, and started his own company with Murray Pfefferman, who had been part of the SEAC design team, with Lubkin as president. This was the Electronic Computer Corporation. The company was established in Brooklyn, New York, as that is where Lubkin's extended family lived. Even as a fledgling enterprise, the company was able to hire several very experienced engineers who had a pedigree in large corporations like the Eckert–Mauchly Computer Corporation (creator of the ENIAC), as prominent Jewish scientists and engineers were losing their security clearance (and consequently, their defense sector jobs) as a result of the House Un-American Activities Committee, which sometimes equated Jewish heritage with Communist sympathies. Other notable employees included Evelyn Berezin.
The main product of this company was a "low cost" (for the time) digital computer named the ELECOM 100. This was a vacuum tube computer with a drum memory. It was also the first computer in history that operated with magnetic tape data storage, which was a separate peripheral. While smaller than some other room-sized computers, the ELECOM 100 was still not small by modern standards. The machine measured 10 feet wide by 6 feet high by 2 feet deep, not including the desk the operator would need to sit at, plus space for other sundry peripherals. The ELECOM 100 was successfully tested for use at Ballistic Rese
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https://en.wikipedia.org/wiki/Sara%20Lombardo
|
Sara Lombardo is an Italian applied mathematician whose research topics include nonlinear dynamics, rogue waves and solitons, integrable systems, and automorphic Lie algebras. She is Executive Dean of the School of Mathematical & Computer Sciences at Heriot-Watt University. Previously she was professor of mathematics at Loughborough University, and associate dean with teaching responsibilities.
Education and career
Lombardo studied mathematical physics at Sapienza University of Rome, earning a laurea in physics in 2000. She completed her PhD at the University of Leeds in 2004; her dissertation, Reductions of integrable equations and automorphic Lie algebras, was supervised by Alexander V. Mikhailov.
After postdoctoral research positions at the University of Leeds, University of Kent, Manchester University, and Vrije Universiteit Amsterdam,
she joined the academic staff at Northumbria University in 2011, becoming head of mathematics there. She moved to Loughborough University in 2017 and to Heriot-Watt in 2022.
Recognition
Lombardo is a Fellow of the Higher Education Academy and a Fellow of the Institute of Mathematics and its Applications. She was one of the 2020 winners of the Suffrage Science award in maths and computing.
References
External links
Year of birth missing (living people)
Living people
Italian mathematicians
Italian women mathematicians
Sapienza University of Rome alumni
Alumni of the University of Leeds
Academics of Northumbria University
Academics of Loughborough University
Fellows of the Higher Education Academy
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https://en.wikipedia.org/wiki/Cuthbert%20Edmund%20Cullis
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Cuthbert Edmund Cullis (15 April 1868 – 20 March 1954) was an English mathematician who worked as a professor of mathematics at the University of Calcutta and was influential in standardizing notation and conventions in the algebra of matrices and determinants.
Life and work
Cullis was the son of Frederick John, a dock surveyor in Gloucester and Louisa (née Corbett) Cullis. One of his two sisters, Winifred C. Cullis, became a physiologist. He was educated at King Edward High School, Birmingham after which he joined Caius College, Cambridge. After being seventh wrangler in 1891 he went to Jena, Germany and received a doctorate under Carl Johannes Thomae with a thesis titled Die Bewegung Durchlöcherter Körper in einer Inkompressiblen Flüssigkeit. He became a lecturer at Hartley College and moved to the University of Calcutta in 1910 where he served as Hardinge Professor of Mathematics until his retirement in 1925.
Cullis published extensively in the Bulletin of the Calcutta Mathematical Society and among his contribution was the work demonstrating that the Moebius ring was a section of the cubic surface defined by:
y(x2+y2+z2-a2)-2z(x2+y2+ax)=0
His most important work was Matrices and Determinoids (1913-1925) to be published in three volumes although only two volumes and a part of the third volume were finally published. He defined what is now called the Cullis-Radić determinant for rectangular matrices.
Cullis died in Gloucester and bequeathed £1000 to Gonville & Caius college to support needy students.
References
External links
Matrices and determinoids (1913-18) Volume 1 Volume 2
1868 births
1954 deaths
Academic staff of the University of Calcutta
Alumni of the University of Cambridge
English mathematicians
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https://en.wikipedia.org/wiki/2021%20Royal%20Malaysia%20Police%20Football%20Club%20season
|
The 2021 season is PDRM's 31st season in existence and the first season in the Malaysia Premier League since relegation from Malaysia Super League last year.
Players
First-team squad
Statistics
Appearances and goals
|}
References
2021
Malaysian football clubs 2021 season
|
https://en.wikipedia.org/wiki/Yuya%20Tanaka
|
is a Japanese footballer who plays as a goalkeeper for Giravanz Kitakyushu.
Career statistics
Club
References
External links
2000 births
Living people
Association football people from Chiba Prefecture
Japanese men's footballers
Men's association football goalkeepers
Giravanz Kitakyushu players
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