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https://en.wikipedia.org/wiki/Kacper%20Radkowski
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Kacper Radkowski (born 27 March 2001) is a Polish professional footballer who plays as a centre-back for Irish club Bohemians, on loan from Śląsk Wrocław.
Career statistics
Club
Notes
References
2001 births
Living people
Polish men's footballers
Poland men's youth international footballers
Men's association football defenders
Ekstraklasa players
I liga players
II liga players
League of Ireland players
Legia Warsaw players
Zagłębie Sosnowiec players
Śląsk Wrocław players
Bohemian F.C. players
Polish expatriate men's footballers
Polish expatriate sportspeople in Ireland
Expatriate men's association footballers in the Republic of Ireland
Place of birth missing (living people)
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https://en.wikipedia.org/wiki/Kryspin%20Szcze%C5%9Bniak
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Kryspin Szcześniak (born 8 January 2001) is a Polish professional footballer who plays as a defender for Ekstraklasa side Górnik Zabrze.
Career statistics
Club
Notes
References
2001 births
Living people
Sportspeople from Gorzów Wielkopolski
Footballers from Lubusz Voivodeship
Polish men's footballers
Poland men's youth international footballers
Men's association football defenders
Ekstraklasa players
I liga players
III liga players
Stilon Gorzów Wielkopolski players
Pogoń Szczecin players
GKS Jastrzębie players
GKS Górnik Łęczna players
Górnik Zabrze players
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https://en.wikipedia.org/wiki/Mateusz%20Ma%C4%87kowiak
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Mateusz Maćkowiak (born 29 May 2001) is a Polish professional footballer who plays as a left-back for II liga club Skra Częstochowa.
Career statistics
Club
Notes
References
2001 births
Living people
Footballers from Poznań
Polish men's footballers
Poland men's youth international footballers
Men's association football defenders
I liga players
II liga players
III liga players
Warta Poznań players
Pogoń Szczecin players
RB Leipzig players
Śląsk Wrocław players
Odra Opole players
Stomil Olsztyn S.A. players
Skra Częstochowa players
Polish expatriate men's footballers
Polish expatriate sportspeople in Germany
Expatriate men's footballers in Germany
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https://en.wikipedia.org/wiki/Maksymilian%20Tkocz
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Maksymilian Tkocz (born 26 January 2002) is a Polish professional footballer who plays as a centre-back for II liga club Wisła Puławy.
Career statistics
Club
References
2002 births
Living people
Polish men's footballers
Poland men's youth international footballers
Men's association football defenders
I liga players
II liga players
III liga players
Górnik Zabrze players
Legia Warsaw players
Lech Poznań II players
Lech Poznań players
Odra Opole players
Wisła Puławy players
Sportspeople from Rybnik
Footballers from Silesian Voivodeship
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https://en.wikipedia.org/wiki/Sylvie%20Roelly
|
Sylvie Roelly (born 1960) is a French mathematician specializing in probability theory, including the study of particle systems, Gibbs measure, diffusion, and branching processes. She is a professor of mathematics in the Institute of Mathematics at the University of Potsdam in Germany.
Education and career
Roelly was born in 1960 in Paris, and studied mathematics from 1979 to 1984 at the École normale supérieure de jeunes filles in Paris. She earned a diploma in mathematics in 1980 through the Paris Diderot University, and an agrégation in 1982. She completed her Ph.D. in 1984 through Pierre and Marie Curie University, with the dissertation Processus de diffusion à valeurs mesures multiplicatifs supervised by Nicole El Karoui. She also earned her habilitation in 1991 through Pierre and Marie Curie University.
After a year of lecturing at the École normale supérieure, she became a researcher for the French National Centre for Scientific Research (CNRS) in 1985. She came to Germany as a Humboldt Fellow at Bielefeld University from 1990 to 1994, and was a researcher at the Weierstrass Institute in Berlin from 2001 to 2003, before taking her professorship at Potsdam in 2003.
At Potsdam, she was head of the Institute of Mathematics from 2011 to 2015, and vice-dean of the Faculty of Science from 2016 to 2019. Along with her research interest in probability, she has organized in Potsdam several events concerning the history of Jewish mathematicians.
Recognition
In 2007, Roelly and Michèle Thieullen won the Itô Prize of the Bernoulli Society for their work on Brownian diffusion. She was named mathematician of the month for April 2015 by the German Mathematical Society.
References
External links
Home page
1960 births
Living people
French mathematicians
French women mathematicians
Probability theorists
Academic staff of the University of Potsdam
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https://en.wikipedia.org/wiki/Rumi%20Chunara
|
Rumi Chunara is a computer scientist who is an associate professor of biostatistics at the New York University School of Global Public Health. She develops computational and statistical approaches to acquire, integrate and make use of data improve population-level public health.
Early life and education
Chunara was an undergraduate student at the California Institute of Technology, where she studied electrical engineering. She moved to the Massachusetts Institute of Technology for graduate studies, where she joined the Department of Electrical Engineering. Her master's dissertation investigated the creation of low-noise electronic readouts for high-throughput bimolecular detection. Chunara joined the Harvard–MIT Program in Health Sciences and Technology, where she completed her doctoral research supervised by Scott Manalis.
Research and career
Chunara worked at the Boston Children's Hospital and Harvard Medical School. Chunara joined the faculty at New York University in 2015. Her research makes use of data mining as well as the development of machine learning algorithms. She is particularly interested in how the acquisition of data can be used to better support public health decisions, and how ethics should be considered in the design of computational systems.
She has shown that it is possible to make use of social media and online sources to understand public health and emerging disease outbreaks. In parts of the world, it can take weeks for public health information to be aggregated by health ministries. In these contexts, early warning signs of disease outbreak can be essential in directing medical workers and resources to areas of need. She demonstrated that an increase in cholera-related Twitter posts in Haiti correlated with a Cholera outbreak. In India, Chunara offered $0.02 rewards to people who completed a malaria survey, the outcomes of which informed the design and deployment of diagnostic kits.
Chunara co-developed Flu Near You, a website that makes use of person-generated information to create spatially resolved maps of the prevalence of flu. Flu Near You emphasizes that it is possible to obtain useful public health information in the absence of public health officials. In 2018, the Bill & Melinda Gates Foundation supported Chunara to improve vaccination rates in Pakistan through the development of smart immunization targeting. Chunara combined artificial intelligence with cell phone technologies to direct vaccinators to areas of poor coverage. Chunara has also shown that hate speech on social media can be used to predict hate crimes in the real world.
In an effort to understand whether disparities in accessing telemedicine reflected in-person healthcare access, Chunara studied the use of telemedicine during the COVID-19 pandemic. She found that COVID diagnoses were considerably more likely for Black telemedicine patients as opposed to white patients. She found that telemedicine use was related to mean income and household s
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https://en.wikipedia.org/wiki/Dishant%20Mayurbhai%20Pancholi
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Dishant Mayurbhai Pancholi is a professor in the Institute of Mathematical Sciences, Chennai with research interests in contact and symplectic topology. Before taking up the position in The Institute Of Mathematical Sciences in 2016, Pancholi was an assistant professor at Chennai Mathematical Institute. He is also a von Newmann Fellow at the Institute for Advanced Study in Princeton, New Jersey. The Singapore based magazine Asian Scientist selected Pancholi as the top ranking Asian Scientist of the year 2020 in a list of 100 Asia’s most outstanding researchers. Pnacholi was awarded the Shanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Sciences in the year 2019.
Pancholi obtained his PhD degree from School of Mathematics, Tata Institute of Fundamental Research, Mumbai in 2006 for a thesis titled "Knots, mapping class groups and Kirby calculus", and MSc degree from Maharaja Sayajirao University of Baroda, Vadodara in 1998.
Honours and recognitions
B M Birla Science prize in 2017
Shanti Swarup Bhatnagar Prize for Science and Technology in Mathematical Sciences in the year 2019
References
External links
Publications of Dishant Mayurbhai Pancholi indexed in ResearchGate
21st-century Indian mathematicians
Recipients of the Shanti Swarup Bhatnagar Award in Mathematical Science
Living people
Year of birth missing (living people)
Tata Institute of Fundamental Research alumni
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https://en.wikipedia.org/wiki/Mamadou%20Fofana%20%28footballer%2C%20born%201995%29
|
Mamadou Fofana (born 21 May 1995) is an Ivorian former footballer who played professionally in Moldova.
Career statistics
Club
Notes
References
1995 births
Living people
Footballers from Bamako
Ivorian men's footballers
Men's association football midfielders
Moldovan Super Liga players
FC Saxan players
CSF Bălți players
Ivorian expatriate men's footballers
Expatriate men's footballers in Moldova
Ivorian expatriate sportspeople in Moldova
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https://en.wikipedia.org/wiki/Filip%20Vecheta
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Filip Vecheta (born 15 February 2003) is a Czech footballer who currently plays as a forward for Slovácko.
Career statistics
Club
Notes
References
2003 births
Living people
Czech men's footballers
Czech Republic men's youth international footballers
Men's association football forwards
Czech First League players
1. SC Znojmo FK players
1. FC Slovácko players
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https://en.wikipedia.org/wiki/Mat%C4%9Bj%20Hada%C5%A1
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Matěj Hadaš (born 25 November 2003) is a Czech footballer who currently plays as a forward for Sigma Olomouc.
Career statistics
Club
Notes
References
2003 births
Living people
Czech men's footballers
Czech Republic men's youth international footballers
Men's association football forwards
Czech First League players
Bohemian Football League players
TJ Valašské Meziříčí players
SK Sigma Olomouc players
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https://en.wikipedia.org/wiki/Dalibor%20Ve%C4%8Derka
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Dalibor Večerka (born 12 March 2003) is a Czech footballer who currently plays as a defender for Sparta Prague B, on loan from Opava.
Career statistics
Club
Notes
References
2003 births
Living people
Czech men's footballers
Czech Republic men's youth international footballers
Men's association football defenders
Czech First League players
Czech National Football League players
SFC Opava players
AC Sparta Prague players
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https://en.wikipedia.org/wiki/Ji%C5%99%C3%AD%20%C5%A0pl%C3%ADchal
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Jiří Šplíchal (born 23 August 2005) is a Czech footballer who currently plays as a forward for Táborsko.
Career statistics
Club
Notes
References
2005 births
Living people
Czech men's footballers
Men's association football forwards
Czech National Football League players
FC Silon Táborsko players
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https://en.wikipedia.org/wiki/Luk%C3%A1%C5%A1%20Ma%C5%A1ek
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Lukáš Mašek (born 8 May 2004) is a Czech professional footballer who plays as a forward for FK Mladá Boleslav.
Career statistics
Club
Notes
References
External links
2004 births
Living people
Sportspeople from Mladá Boleslav
Footballers from the Central Bohemian Region
Czech men's footballers
Czech Republic men's youth international footballers
Men's association football forwards
Czech First League players
FK Mladá Boleslav players
Czech National Football League players
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https://en.wikipedia.org/wiki/Vojt%C4%9Bch%20Str%C3%A1nsk%C3%BD
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Vojtěch Stránský (born 13 March 2003) is a Czech footballer who currently plays as a forward for Mladá Boleslav.
Career statistics
Club
Notes
References
External links
2003 births
Living people
Footballers from Ostrava
Czech men's footballers
Czech Republic men's youth international footballers
Men's association football forwards
Czech First League players
FK Mladá Boleslav players
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https://en.wikipedia.org/wiki/Daniel%20Langhamer
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Daniel Langhamer (born 20 March 2003) is a Czech footballer who currently plays as a midfielder for Viagem Příbram, on loan from Mladá Boleslav.
Career statistics
Club
Notes
References
2003 births
Living people
Czech men's footballers
Czech Republic men's youth international footballers
Men's association football midfielders
Bohemian Football League players
Czech First League players
Czech National Football League players
SK Slavia Prague players
FK Mladá Boleslav players
FK Příbram players
FC Sellier & Bellot Vlašim players
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https://en.wikipedia.org/wiki/Filip%20Uri%C4%8Da
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Filip Uriča (born 10 September 2003) is a Czech footballer who currently plays as a midfielder for Sigma Olomouc.
Career statistics
Club
Notes
References
2003 births
Living people
Czech men's footballers
Czech Republic men's youth international footballers
Men's association football midfielders
Czech First League players
Bohemian Football League players
SK Sigma Olomouc players
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https://en.wikipedia.org/wiki/Carlos%20Alcaraz%20career%20statistics
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This is a list of main career statistics of Spanish professional tennis player Carlos Alcaraz. All statistics are according to the ATP World Tour and ITF websites.
Performance timelines
Only main-draw results in ATP Tour, Grand Slam tournaments, Davis Cup/ATP Cup/Laver Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2023 Shanghai Masters.
Significant finals
Grand Slam finals
Singles: 2 (2 titles)
Masters 1000 finals
Singles: 5 (4 titles, 1 runner-up)
Alcaraz is the first player born in the 2000s to win an ATP Masters 1000 title and also to win multiple Masters 1000 titles.
ATP career finals
Singles: 16 (12 titles, 4 runner-ups)
ATP Next Generation finals
Singles: 1 (1 title)
ATP Challenger and ITF Futures finals
Singles: 9 (7 titles, 2 runner-ups)
Career Grand Slam statistics
Best Grand Slam tournament results details
Grand Slam winners are in boldface, and runner-ups are in italics (at time of matches played).
Grand Slam seedings
The tournaments won by Alcaraz are in boldface, and advanced into finals by Alcaraz are in italics.
ATP ranking
Carlos Alcaraz has spent in total 36 weeks as ATP world No. 1.
General
Alcaraz has spent the total 123* consecutive weeks in the ATP Tour's top-100.
He also has spent the total 75* consecutive in the ATP Tour's top-10.
He first ascended into the top-10 on 25 April 2022 when he moved up from No. 11 to No. 9. Since then, he has spent:
No. 1 – 36 weeks
No. 2 – 19 weeks*
No. 3 – 0 weeks
No. 4 – 6 weeks
No. 5 – 1 weeks
No. 6 – 6 weeks
No. 7 – 5 weeks
No. 8 – 0 weeks
No. 9 – 2 weeks
No. 10 – 0 weeks
*.
Weeks at No. 1 by span
Record against top 10 players
Alcaraz's record against players who have been ranked in the top 10, with those who are active in boldface. Only ATP Tour main draw matches are considered:
Record against No. 11–20 players
Alcaraz's record against players who have been ranked world No. 11–20, with those who are active in boldface.
Albert Ramos Viñolas 4–0
Nikoloz Basilashvili 2–0
Nicolás Jarry 2-0
Alex de Minaur 2–0
Lorenzo Musetti 2–1
Tommy Paul 2–2
Borna Ćorić 1–0
Ben Shelton 1–0
* Statistics correct .
Top 10 wins
He has a record against players who were, at the time the match was played, ranked in the top 10.
* .
Exhibition matches
Singles (4 losses)
ATP Tour career earnings
* Statistics correct .
National and international representation
Hopman Cup
(2 wins – 2 losses)
indicates the result of the Hopman Cup match followed by the score, date, place of event, competition phase, and the court surface.
See also
Spain Davis Cup team
List of Spain Davis Cup team representatives
Tennis in Spain
Sport in Spain
Notes
References
External links
Carlos Alcaraz at the ITF profile
Alcaraz, Carlos
Sport in Spain
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https://en.wikipedia.org/wiki/Koshiro%20Itohara
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is a Japanese footballer currently playing as a goalkeeper for Gainare Tottori.
Career statistics
Club
.
Notes
References
External links
1998 births
Living people
Association football people from Tottori Prefecture
Biwako Seikei Sport College alumni
Japanese men's footballers
Men's association football goalkeepers
J3 League players
Sanfrecce Hiroshima players
Gainare Tottori players
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https://en.wikipedia.org/wiki/Yin%20Depei
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Yin Depei (; born 2 May 1991) is a Chinese footballer currently playing as a goalkeeper for Qingdao Youth Island.
Career statistics
Club
References
1991 births
Living people
Chinese men's footballers
Men's association football goalkeepers
China League Two players
Shandong Tengding F.C. players
Shaanxi Chang'an Athletic F.C. players
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https://en.wikipedia.org/wiki/Tian%20Yong
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Tian Yong (; born 12 January 1987) is a Chinese professional footballer who plays as a midfielder or centre-back for and captains China League One club Qingdao West Coast.
Career statistics
Club
References
1987 births
Living people
Chinese men's footballers
Men's association football midfielders
China League Two players
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https://en.wikipedia.org/wiki/Michela%20Varagnolo
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Michela Varagnolo is a mathematician whose research topics have included representation theory, Hecke algebra, Schur–Weyl duality, Yangians, and quantum affine algebras. She earned a doctorate in 1993 at the University of Pisa, under the supervision of Corrado de Concini, and is maître de conférences in the department of mathematics at CY Cergy Paris University, affiliated there with the research laboratory on analysis, geometry, and modeling.
Varagnolo was an invited speaker at the 2014 International Congress of Mathematicians. In 2019, with Éric Vasserot, she won the Prix de l'État of the French Academy of Sciences for their work on the geometric representation theory of Hecke algebras and quantum groups.
References
Year of birth missing (living people)
Living people
Italian mathematicians
Italian women mathematicians
French mathematicians
French women mathematicians
University of Pisa alumni
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https://en.wikipedia.org/wiki/Erzhan%20Tokotayev
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Erzhan Nurlanovich Tokotayev (; ; born 17 July 2000) is a Kyrgyzstani footballer who plays for Turkish club Şanlıurfaspor and the Kyrgyzstan national football team as a goalkeeper.
Career statistics
International
Statistics accurate as of match played 24 September 2022
References
External links
2000 births
Living people
Footballers from Bishkek
Kyrgyzstan men's international footballers
Kyrgyzstani men's footballers
Men's association football goalkeepers
FC Dordoi Bishkek players
FC Alga Bishkek players
FC Turan players
FC Caspiy players
Şanlıurfaspor footballers
Kyrgyz Premier League players
Kazakhstan Premier League players
Kyrgyzstani expatriate men's footballers
Expatriate men's footballers in Kazakhstan
Kyrgyzstani expatriate sportspeople in Kazakhstan
Expatriate men's footballers in Turkey
Kyrgyzstani expatriate sportspeople in Turkey
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https://en.wikipedia.org/wiki/The%20Gold%20Sheet%3A%20Pro%20Football%20Analyst
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The Gold Sheet: Pro Football Analyst is software published by Villa Crespo Software in 1991
Gameplay
The Gold Sheet: Pro Football Analyst provided statistics for two full seasons of football, with the option to get a Statdisk with teams going back to 1983, and users had the ability to download updates weekly or receive hard copy updates by mail.
Reception
Bill Brown and Wyatt Lee reviewed the program for Computer Gaming World, and stated that "To be sure, The Gold Sheet: Pro Football Analyst is not a game, but this writer certainly felt like a Las Vegas radio personality when he finished analyzing last weekend's games. 61% accuracy may not be that good on GEnie, but it sure beats the 38% scored by one of the on-disk "experts." Anyone serious about sports and addicted to statistics will certainly want to be aware of The Gold Sheet."
Richard Jacobs for Computer Games Strategy Plus said "Gamblers will find that its array of stats and trends provide 'cause for pause' before wagering. But will this software make you rich? I wouldn't bet on it."
Reviews
VideoGames & Computer Entertainment
References
1991 video games
American football video games
DOS games
DOS-only games
Video games developed in the United States
Villa Crespo Software games
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https://en.wikipedia.org/wiki/Paraguay%20national%20football%20team%20results%20%281919%E2%80%931959%29
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This page details the match results and statistics of the Paraguay national football team from 1919 to 1959.
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
Paraguay's score is shown first in each case.
Notes
Record by opponent
References
Paraguay national football team results
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https://en.wikipedia.org/wiki/Ina%20Koch
|
Ina Koch (born 1958) is a German bioinformatics researcher who holds the Chair of Molecular Bioinformatics at Goethe University Frankfurt, in the faculty of mathematics and computer science. She has published research on the use of maximum common subgraphs and Petri nets to model problems in biology, and on the prediction of deleterious alleles.
Education and career
Koch was born in 1958 in East Berlin, and studied quantum chemistry at Leipzig University, working there with . She became a researcher in the Institute for Cybernetics and Information Processing of the German Academy of Sciences at Berlin, and after the German reunification in 1990, became a researcher for the from 1992 to 1996, and completed a doctorate in theoretical computer science.
After postdoctoral research with Jens Reich at the Max Delbrück Center for Molecular Medicine in the Helmholtz Association, and with Martin Vingron at the Max Planck Institute for Molecular Genetics, she took a professorship in 2002 at the Berlin University of Applied Sciences and Technology. She moved in 2005 to the University of Jena, and again in 2010 to her present position in Frankfurt.
References
External links
1958 births
Living people
Computational biologists
German bioinformaticians
Women bioinformaticians
German biologists
German computer scientists
German women biologists
German women computer scientists
Leipzig University alumni
Academic staff of the University of Jena
Academic staff of Goethe University Frankfurt
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https://en.wikipedia.org/wiki/Kacper%20Trelowski
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Kacper Trelowski (born 19 August 2003) is a Polish professional footballer who plays as a goalkeeper for Śląsk Wrocław, on loan from Raków Częstochowa.
Career statistics
Club
Honours
Raków Częstochowa
Ekstraklasa: 2022–23
Polish Cup: 2021–22
References
2003 births
Living people
Sportspeople from Częstochowa
Footballers from Silesian Voivodeship
Polish men's footballers
Poland men's youth international footballers
Poland men's under-21 international footballers
Men's association football goalkeepers
Ekstraklasa players
II liga players
III liga players
Raków Częstochowa players
Sokół Ostróda players
Śląsk Wrocław players
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https://en.wikipedia.org/wiki/Kamil%20Kruk
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Kamil Kruk (born 13 March 2000) is a Polish professional footballer who plays as a centre-back for Zagłębie Lubin.
Career statistics
References
External links
2000 births
Living people
People from Drezdenko
Polish men's footballers
Poland men's youth international footballers
Poland men's under-21 international footballers
Men's association football defenders
Ekstraklasa players
III liga players
Zagłębie Lubin players
Stal Mielec players
Footballers from Lubusz Voivodeship
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https://en.wikipedia.org/wiki/J.%20Richard%20Landis
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J. Richard Landis is an American biostatistician and Emeritus Professor of Biostatistics in the Perelman School of Medicine at the University of Pennsylvania, where he is also the senior vice chair of the Department of Biostatistics, Epidemiology and Informatics, director of the Biostatistics Unit within the Center for Clinical Epidemiology and Biostatistics, and faculty Director of the Clinical Research Computing Unit.
Education and academic career
Landis received his bachelor's degree from Millersville University in 1969 and his M.S. and Ph.D. from the University of North Carolina at Chapel Hill in 1973 and 1975, respectively. He was a faculty member at the University of Michigan School of Public Health from 1975 to 1988, where his positions included Professor of Biostatistics. In 1988, he joined the faculty of Pennsylvania State University as the founder of the Center for Biostatistics and Epidemiology (CBE) at the Milton S. Hershey Medical Center. He served as the director of the CBE for nine years until joining the faculty of the University of Pennsylvania in 1997.
Honors and awards
Landis received the Mortimer Spiegelman Award from the American Public Health Association in 1984. He was elected a member of the International Statistical Institute in 1985 and a fellow of the American Statistical Association in 1987. In 2011, he received the Marvin Zelen Leadership Award in Statistical Science from the Harvard School of Public Health.
References
External links
Faculty page
Living people
Biostatisticians
American statisticians
Perelman School of Medicine at the University of Pennsylvania faculty
University of Michigan faculty
Pennsylvania State University faculty
Millersville University of Pennsylvania alumni
University of North Carolina at Chapel Hill alumni
Elected Members of the International Statistical Institute
Fellows of the American Statistical Association
Year of birth missing (living people)
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https://en.wikipedia.org/wiki/Gary%20Grove%20Koch
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Gary Grove Koch (born January 6, 1942) is an American biostatistician who serves as professor of biostatistics and director of the Biometric Consulting Laboratory at the University of North Carolina at Chapel Hill, where he has been a faculty member since 1968. In 1972, he was elected a fellow of the American Statistical Association, and in 1974, he received the Mortimer Spiegelman Award from the American Public Health Association. In 1996, he was awarded an honorary doctorate from DeMontfort University in the United Kingdom.
References
External links
Faculty page
Living people
1942 births
People from Mount Vernon, Ohio
Ohio State University alumni
University of North Carolina at Chapel Hill alumni
University of North Carolina at Chapel Hill faculty
Fellows of the American Statistical Association
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https://en.wikipedia.org/wiki/Georgios%20Sideras
|
Georgios Sideras (; born 30 May 2002) is a Greek professional footballer who plays as a centre-back for Super League club Panathinaikos.
Career statistics
Honours
Panathinaikos
Greek Cup: 2021–22
References
2002 births
Living people
Greek men's footballers
Super League Greece players
Super League Greece 2 players
Panathinaikos F.C. players
Panathinaikos F.C. B players
Men's association football defenders
Footballers from Agrinio
c
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https://en.wikipedia.org/wiki/Susan%20Ahmed
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Susan Mae Wolofski Ahmed (born 1946) is an American statistician. After early work in biostatistics, she became chief mathematical statistician in the National Center for Education Statistics and president of the Washington Statistical Society.
Education and career
Susan Wolofski graduated in 1968 from Kalamazoo College, majoring in mathematics with an honors thesis concerning game theory. She earned a master's degree in public health in 1970 from the University of Michigan. In 1975, as Susan Wolofski Ahmed, she completed a Ph.D. at the University of North Carolina at Chapel Hill, with the dissertation Discriminant Analysis when the Initial Samples Are Contaminated supervised by Peter Lachenbruch.
In the 1980s, Ahmed performed biostatistics research, affiliated with the Department of Biostatistics and Epidemiology of the Georgetown University School of Medicine, including highly cited work on how inflammatory bowel disease and its treatment can affect pregnancy outcomes. By the 1990s, she had shifted to government and policy applications of statistics, as chief mathematical statistician in the Statistical Standards and Services Group of the National Center for Education Statistics. After retiring from the government, she was named a senior fellow for statistical services at Mathematica Policy Research in 2006.
Service and recognition
Ahmed was president of the Washington Statistical Society for the 1994–1995 term. In 1995, she was elected as a Fellow of the American Statistical Association.
References
1946 births
Living people
American statisticians
American women statisticians
Kalamazoo College alumni
University of Michigan alumni
University of North Carolina at Chapel Hill alumni
Georgetown University faculty
Fellows of the American Statistical Association
21st-century American women scientists
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https://en.wikipedia.org/wiki/Katherine%20Holt
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Katherine B. Holt (born 1977) is a British chemist who is a professor at University College London. She serves as Vice Dean for Education in the Department of Mathematics and Physical Sciences. Her research investigates the development of carbon-based electrodes and electrocatalysis.
Early life and education
Holt was born in the United Kingdom. Her parents were both chemistry teachers and she grew up around chemistry textbooks. She studied chemistry throughout high school, and was accepted to study in the Department of Chemistry at the University of Oxford. During her final year at Oxford, she joined the research group of John Foord, with whom she studied diamond thin films. She focussed on the creation of boron-doped diamond, which could be used as highly conductive electrodes. Holt stayed at the University of Oxford for doctoral research, where she looked to apply her conductive diamond films to electrochemical water waste treatment.
Research and career
Holt became interested in research in the United States, and applied to the laboratory of Allen J. Bard at the University of Texas at Austin, where she started to work on biological systems, such as studying the impact of silver ions on Escherichia coli respiration. After two years in Texas, Holt returned to the United Kingdom, where she joined University College London. She worked as a Centenary Ramsay Fellow. She was appointed an Engineering and Physical Sciences Research Council advanced research fellow in 2006 and a lecturer at University College London in 2007. In 2018 she was promoted to Professor of Chemistry at UCL.
Holt's research investigates the use of chemistry to better understand biological processes. In particular, she has studied the creation and application of functional diamonds-based nanomaterials. She has shown that boron-doped and nanocrystalline diamond can be grown on metals using chemical vapor deposition, creating highly conductive thin films that can be used to detect metabolic products of living cells. She has studied diamond nanoparticles, which may find application in drug delivery and cellular imaging. Holt showed that diamond can be redox active, a surprising observation given diamond has a bandage of 5.47 eV and is generally considered an insulator. Instead, Holt believes that the redox properties of diamond originate in unsaturated surface bonds, as these interactions can dominate when nanoparticle size is < 5 nm.
Selected publications
Awards and honours
Holt was awarded the Edward Harrison Memorial Prize by the Royal Society of Chemistry (RSC) in 2007.
References
Living people
British women chemists
1977 births
Alumni of the University of Oxford
|
https://en.wikipedia.org/wiki/Linear%20order%20%28disambiguation%29
|
Linear order (or total order) is the order of two comparable elements in mathematics.
Linear order may refer to:
Linear order (linguistics), the order of words or phrases in linguistics
Dense linear order, in mathematics
See also
Linearly ordered group
|
https://en.wikipedia.org/wiki/Aidil%20Johari
|
Aidil Johari (born 5 April 2003) is a Singaporean footballer currently playing as a defender for Balestier Khalsa.
Club
Balestier Khalsa
He made his debut against Young Lions.
Career statistics
Club
Notes
International statistics
References
2003 births
Living people
Singaporean men's footballers
Men's association football defenders
Singapore Premier League players
Balestier Khalsa FC players
|
https://en.wikipedia.org/wiki/Puvan%20Raj%20Sivalingam
|
Puvan Raj (born 29 August 2001) is a Singaporean professional footballer who plays as a forward for Balestier Khalsa.
Club
Balestier Khalsa
He made his debut against Young Lions.
Career statistics
Club
Notes
International statistics
References
2001 births
Living people
Singaporean men's footballers
Singaporean people of Tamil descent
Singaporean sportspeople of Indian descent
Men's association football defenders
Singapore Premier League players
Balestier Khalsa FC players
|
https://en.wikipedia.org/wiki/Ergys%20Peposhi
|
Ergys Peposhi (born 26 August 2000) is an Albanian professional footballer who plays as a left winger for Albanian club Teuta.
Career statistics
Club
References
2000 births
Living people
Men's association football wingers
Footballers from Tirana
Albanian men's footballers
FC Kamza players
Akademia e Futbollit players
KF Laçi players
KF Elbasani players
FK Kukësi players
FK Kukësi B players
Kategoria Superiore players
Kategoria e Parë players
|
https://en.wikipedia.org/wiki/V%C5%A9%20C%C3%B4ng%20Tuy%E1%BB%81n
|
Vũ Công Tuyền (born 17 May 1969) is a Vietnamese former international footballer who played as a forward. He was capped eight times in 2000, scoring nine goals.
Career statistics
International
International goals
Scores and results list Vietnam's goal tally first, score column indicates score after each Vietnam goal.
References
1969 births
Living people
Vietnamese men's footballers
Vietnam men's international footballers
Men's association football forwards
Viettel FC players
|
https://en.wikipedia.org/wiki/List%20of%20US%20Catanzaro%201929%20records%20and%20statistics
|
U.S. Catanzaro 1929 is an Italian football club based in Catanzaro, Calabria. The club was officially formed in 1929. Catanzaro has competed in the Serie A seven times and were one time Coppa Italia runners-up.
The list encompasses the honours won by U.S. Catanzaro 1929 at national and regional level, records set by the club, their managers and their players. The player records section itemises the club's leading goalscorers and those who have made the most appearances in first-team competitions. It also records notable achievements by Catanzaro players on the international stage.
Catanzaro have won 6 interregional level three titles and 1 interregional level four title. The club's record league appearances maker is Adriano Banelli, who made 336 appearances between 1967 and 1979 and the club's record Serie A appearance maker is Claudio Ranieri with 128 appearances. Massimo Palanca is the club's record goalscorer, scoring 116 goals in total.
All figures are correct as of 16 November 2021.
Honours and achievements
National
Leagues
Serie B (Level 2)
Runners-Up (2): 1975–76, 1977–78
Promoted via play-offs (1): 1970–71
Supercoppa di Serie C (Level 3)
Runners-Up (1): 2004
Scudetto IV Serie (Level 4)
Winners (1): 1952–53
Cups
Coppa Italia
Runners-Up (1): 1965–66
Semi-finalists (2): 1978–79, 1981–82
Interregional
Prima Divisione or Serie C or Serie C1 (Level 3)
Winners (6): 1932–33 (Prima Div/I), 1935–36 (Serie C/D), 1958–59 (Serie C/B), 1984–85 (Serie C1/B), 1986–87 (Serie C1/B), 2003–04 (Serie C1/B)
Runners–Up (4): 1945–46, 1947–48, 2020–21, 2021–22
IV Serie or Serie C2/Lega Pro Seconda Divisione (Level 4)
Winners (1): 1952–53 (IV Serie/H)
Runners-Up (2): 2009–10, 2011–12 (LP Seconda Div)
Promotion (1): 2002–03 (Serie C2)
Regional
Prima Divisione
Winners (2): 1938–39, 1939–40
Runners-Up (1): 1937–38
European
Cup of the Alps
Winners (1): 1960
Notes
Player records
Appearances
Most league appearances: Adriano Banelli, 336
Most Serie A appearances: Claudio Ranieri, 128
Most Coppa Italia appearances: Adriano Banelli, 39
Youngest first-team player: Domenico Strumbo, 16 years, 9 months, 12 days on 20 November 2017
Most appearances
Competitive matches only, includes appearances as substitute.
{| class="sortable wikitable plainrowheaders" style="text-align: center;"
|-
! scope="col" style="width:4%;" |#
! scope="col" style="width:14%;"|Name
! scope="col" style="width:14%;"|Years
! scope="col" style="width:10%;"|League (Serie A)
! scope="col" style="width:10%;"|Coppa Italia
! scope="col" style="width:10%;"|Other
! scope="col" style="width:10%;"|Total
|-
|1
! scope="row" |
| 1967–1979
| 336 (66)
| 39
| 3
| 378
|-
|2
! scope="row" |
| 1974–19811986–1990
| 332 (105)
| 36
| 1
| 369
|-
|3
! scope="row" |
| 1955–1966
| 313 (0)
| 2
|
| 315
|-
|4
! scope="row" |
| 1967–1977
| 244 (45)
| 27
| 3
| 274
|-
|5
! scope="row" |
| 1974–1982
| 225 (128)
| 27
| 1
| 253
|-
|6
! scope="row" |
| 1963–1969
| 224 (0)
| 14
|
| 238
|-
|7
! s
|
https://en.wikipedia.org/wiki/Faculty%20of%20Mathematics%20and%20Physics%2C%20Charles%20University
|
The Faculty of Mathematics and Physics of Charles University (Czech: Matematicko-fyzikální fakulta Univerzity Karlovy or Matfyz) was established on September 1, 1952, in Prague, Czech Republic. Since that time, the faculty has been represented by its students and professors both at home and abroad.
Activities and achievements
Among the recent collaborations belongs a participation in the development of the Solar Wind Analyser/Proton and Alpha Sensor (SWA-PAS) onboard the Solar Orbiter spacecraft, launching an educational game project based on comics simulations called Czechoslovakia 38-89 in cooperation with The Faculty of Arts and subsequent developing of a PC game Attentat 1942, making an AI translator called CUBBITT, which can compare to professional English human translators, establishing of the Malach Center for Visual History or the collaborating on a project dealing with AI system called DeepStack, which defeated professional poker players in 2016.
Moreover, The Faculty of Mathematics and Physics is a birthplace of Bird Internet routing daemon, IP routing daemon running mainly on Linux/UNIX-like operating systems etc., which began as a school project. Additionally, Matfyz also stood by a student project called Xelfi, which evolved in JAVA integrated development environment known as NetBeans. The Faculty of Mathematics and Physics has been also among teams of The CERN Experimental Programme for a long time and the participation in the programme is guaranteed for both the academic employees and the students. In 2021, the cooperative team of Matfyz, Švandovo divadlo and DAMU worked on the first theatre play written by AI, which had its premiere on the February 26, 2021.
The faculty produces approximately 25 % of all research outputs of Charles University.
Alumni/Graduates
Notable graduates of Matfyz are for example astronomer Jiří Grygar or scientist Jiří Bičák, who was awarded by the Neuron Fund for his contribution to global science in 2014. In 2007, a minor planet 55844 Bičák was named after him. Further, Martin Klíma, a co-founder of a video-game developer Warhorse Studios known for a game Kingdom Come: Deliverance. Alice Valkárová, a former student and current professor of physics at Matfyz, was appointed as a member of the European Research Council (ERC) in 2021. Miloslav Feistauer, who is currently teaching at Matfyz as well, is a member of Learned Society of the Czech Republic uniting significant Czech scientists.
Departments
School of Physics
Astronomical Institute of Charles University
Institute of Physics of Charles University
Laboratory of General Physics Education
Department of Physics Education
Department of Surface and Plasma Science
Department of Physics of Materials
Department of Low Temperature Physics
Department of Condensed Matter Physics
Department of Macromolecular Physics
Department of Geophysics
Department of Chemical Physics and Optics
Institute of Particle and Nuclear Physics
Department of A
|
https://en.wikipedia.org/wiki/Xhelal%20Juka
|
Xhelal Juka (5 April 1926 – 7 February 2012) was an Albanian footballer who played for Vllaznia. He featured once for the Albania national football team in 1946, scoring two goals.
Career statistics
International
International goals
Scores and results list Albania's goal tally first, score column indicates score after each Albania goal.
References
1926 births
2012 deaths
Albanian men's footballers
Albania men's international footballers
Men's association football forwards
|
https://en.wikipedia.org/wiki/Jes%C3%BAs%20Mar%C3%ADa%20Araya
|
Jesús María Araya was a Costa Rican footballer who represented the Costa Rica national football team between 1941 and 1946, scoring eleven goals in nine games.
Career statistics
International
International goals
Scores and results list Costa Rica's goal tally first, score column indicates score after each Costa Rica goal.
References
Date of birth missing
Date of death missing
Costa Rican men's footballers
Costa Rica men's international footballers
Men's association football forwards
Orión F.C. players
|
https://en.wikipedia.org/wiki/Speargrass%2C%20Alberta
|
Speargrass is an unincorporated place in the Canadian province of Alberta within Wheatland County that is recognized as a designated place by Statistics Canada. It is approximately southeast of downtown Calgary and south of Strathmore.
History
The community of Speargrass was approved for development by Wheatland County on December 12, 1997 through its adoption of the Speargrass Area Structure Plan (ASP). The first residential subdivision was registered in 2003.
Geography
Speargrass is on the north side of the Bow River at the intersection of Highway 24 and Highway 817.
Demographics
In the 2021 Census of Population conducted by Statistics Canada, Speargrass had a population of 275 living in 114 of its 117 total private dwellings, a change of from its 2016 population of 269. With a land area of , it had a population density of in 2021.
Attractions
The community of Speargrass is surrounded by the Speargrass Golf Course. The 18-hole golf course opened in 2003. The Wyndham-Carseland Provincial Park is to the south of Speargrass across the Bow River.
References
Designated places in Alberta
Unincorporated communities in Alberta
Wheatland County, Alberta
|
https://en.wikipedia.org/wiki/Kaito%20Abe%20%28footballer%2C%20born%20June%201999%29
|
is a Japanese footballer currently playing as a defender for Roasso Kumamoto as a designated special player.
Career statistics
Club
.
Notes
References
1999 births
Living people
People from Ogōri, Fukuoka
Association football people from Fukuoka Prefecture
Fukuoka University alumni
Japanese men's footballers
Men's association football defenders
J3 League players
J2 League players
Roasso Kumamoto players
|
https://en.wikipedia.org/wiki/Kishon%20Philip
|
Kishon Philip (born 26 November 1999) is a Singaporean footballer currently playing as a defender for Hougang United.
Career statistics
Club
Notes
References
1999 births
Living people
Singaporean men's footballers
Men's association football defenders
Singapore Premier League players
Hougang United FC players
|
https://en.wikipedia.org/wiki/G%C3%A1bor%20Sipos
|
Gábor Sipos (born 1 November 2002) is a Hungarian football midfielder who plays for Nemzeti Bajnokság III club Bicske.
Career statistics
.
References
External links
2001 births
People from Hódmezővásárhely
Sportspeople from Csongrád-Csanád County
Living people
Hungarian men's footballers
Hungary men's youth international footballers
Men's association football midfielders
Puskás Akadémia FC players
Puskás Akadémia FC II players
Békéscsaba 1912 Előre footballers
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
Nemzeti Bajnokság III players
|
https://en.wikipedia.org/wiki/L%C3%A1szl%C3%B3%20Vizler
|
László Vizler (born 13 October 2002) is a Hungarian football midfielder who plays for Puskás Akadémia II.
Career statistics
.
References
External links
2001 births
Footballers from Győr
21st-century Hungarian people
Living people
Hungarian men's footballers
Men's association football midfielders
Puskás Akadémia FC players
Puskás Akadémia FC II players
FC Ajka players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
Nemzeti Bajnokság III players
|
https://en.wikipedia.org/wiki/Gerg%C5%91%20Ominger
|
Gergő Ominger (born 25 September 2002) is a Hungarian football midfielder who plays for OTP Bank Liga club Puskás Akadémia.
Career statistics
.
References
External links
2001 births
Living people
Footballers from Győr
Hungarian men's footballers
Hungary men's youth international footballers
Men's association football midfielders
Puskás Akadémia FC players
Puskás Akadémia FC II players
Aqvital FC Csákvár players
Nemzeti Bajnokság I players
Nemzeti Bajnokság II players
Nemzeti Bajnokság III players
21st-century Hungarian people
|
https://en.wikipedia.org/wiki/Indicator%20function%20%28complex%20analysis%29
|
In the field of mathematics known as complex analysis, the indicator function of an entire function indicates the rate of growth of the function in different directions.
Definition
Let us consider an entire function . Supposing, that its growth order is , the indicator function of is defined to be
The indicator function can be also defined for functions which are not entire but analytic inside an angle .
Basic properties
By the very definition of the indicator function, we have that the indicator of the product of two functions does not exceed the sum of the indicators:
Similarly, the indicator of the sum of two functions does not exceed the larger of the two indicators:
Examples
Elementary calculations show that, if , then . Thus,
In particular,
Another easily deducible indicator function is that of the reciprocal Gamma function. However, this function is of infinite type (and of order ), therefore one needs to define the indicator function to be
Stirling's approximation of the Gamma function then yields, that
Another example is that of the Mittag-Leffler function . This function is of order , and
Further properties of the indicator
Those indicator functions which are of the form
are called -trigonometrically convex ( and are real constants). If , we simply say, that is trigonometrically convex.
Such indicators have some special properties. For example, the following statements are all true for an indicator function that is trigonometrically convex at least on an interval
If for a , then everywhere in .
If is bounded on , then it is continuous on this interval. Moreover, satisfies a Lipschitz condition on .
If is bounded on , then it has both left-hand-side and right-hand-side derivative at every point in the interval . Moreover, the left-hand-side derivative is not greater than the right-hand-side derivative. It also holds true, that the right-hand-side derivative is continuous from the right, while the left-hand-side derivative is continuous from the left.
If is bounded on , then it has a derivative at all points, except possibly on a countable set.
If is -trigonometrically convex on , then , whenever .
Notes
References
Complex analysis
|
https://en.wikipedia.org/wiki/Sarah%20Harris%20%28scientist%29
|
Sarah Anne Harris is a British physicist who is an Associate Professor of Biological Physics at the University of Leeds. Her research investigates biomolecular simulations and the topology of DNA. In particular, she makes use of molecular dynamics to explore how DNA responds to stress. She serves as chair of the Engineering and Physical Sciences Research Council (EPSRC) computational collaborative project in Biomolecular simulation.
Early life and education
Harris was an undergraduate student in physics at the University of Oxford. She was a graduate student at the University of Nottingham where she studied the structure and dynamics of DNA.
Research and career
Harris joined University College London where she worked on condensed matter physics. She joined the faculty at the University of Leeds in 2004, where she holds a joint position at the Astbury Centre for Structural and Molecular Biology. Her research considers the development of theoretical and computational biophysical tools to address open questions in molecular biophysics. Circular DNA sequences are present in bacterial, mitochondrial and cancer genomes, and offer promise for the design of gene vectors. These circular sequences can withstand superhelical stresses, resulting in the formation of DNA supercoils. Whilst such supercoils are frequently observed in vivo, their closed topology renders them more challenging to study experimentally than their linear counterparts. To this end, minicircles of DNA (closed double-stranded DNA sequences) have been proposed as model systems. Harris developed the mathematical models and atomistic molecular dynamics simulations that can accurately describe these DNA supercoils. Harris was involved with the development of Fluctuating Finite Element Analysis, a mesoscale modelling tool that makes use of contiuum mechanics used to predict bimolecular dynamics in globular macromolecules and proteins. FFEA makes use of 3D volumetric information, such as Cryo Electron Tomography maps.
In 2020, Harris was appointed Chair of the Engineering and Physical Sciences Research Council (EPSRC) computational collaborative project in Biomolecular simulation. The project unites biochemists, biophysicists and computer scientists in an effort to better understand biomolecular processes. These include simulations that can describe the role of enzymes in biological reactions, the configuration of proteins in cell membranes and the design of effective pharmaceutical. She serves on the management committee of High-End Computing Resources by the Biomolecular Simulation Community (HECBioSim), which provides access to High performance computing capabilities to scientists working on biomedical challenges.
Alongside the scientific insights that can be gained from biophysical simulations, Harris is interested in the artistic outputs of theoretical biology. She published a collection of images that were generated during theoretical biology.
Selected publications
Her publicatio
|
https://en.wikipedia.org/wiki/Keshav%20Kumar%20%28footballer%29
|
Keshav Kumar (born 6 February 2001) is a Singaporean footballer currently playing as a defender for Young Lions .
Career statistics
Club
Notes
References
2001 births
Living people
Singaporean men's footballers
Men's association football defenders
Singapore Premier League players
Balestier Khalsa FC players
Singaporean sportspeople of Indian descent
|
https://en.wikipedia.org/wiki/Pablo%20Carre%C3%B1o%20Busta%20career%20statistics
|
This is a list of the main career statistics of professional Spanish tennis player Pablo Carreño Busta.
Performance timelines
Only main-draw results in ATP Tour, Grand Slam tournaments, Davis Cup/ATP Cup/Laver Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2022 Paris Masters.
Doubles
Significant finals
Grand Slam finals
Doubles: 1 (1 runner-up)
Olympic medal finals
Singles: 1 (1 Bronze Medal)
Masters 1000 finals
Singles: 1 (1 title)
Doubles: 2 (1 title, 1 runner-up)
ATP career finals
Singles: 12 (7 titles, 5 runners-up)
Doubles: 9 (4 titles, 5 runners-up)
National representation
ATP Challenger Tour and ITF Futures finals
Singles: 31 (23 titles, 8 runner–ups)
ATP Tour career earnings
* Statistics correct .
Grand Slam seedings
Record against other players
Record against top 10 players
Carreño Busta's record against those who have been ranked in the top 10, with active players in boldface.
Record against players ranked No. 11–20
Active players are in boldface.
Alex de Minaur 2–0
Philipp Kohlschreiber 2–0
Reilly Opelka 1–0
Guido Pella 1–0
Albert Ramos Viñolas 1–0
Aslan Karatsev 1–1
Benoît Paire 1–1
*
Wins over top 10 players
Pablo is currently against top 10 players who were in the top 10 at the moment of the match. He got his first win against a top 10 player after 17 attempts.
See also
Spain Davis Cup team
ATP Finals appearances
Tennis in Spain
Sport in Spain
Notes
References
Carreño Busta, Pablo
|
https://en.wikipedia.org/wiki/Vasek%20Pospisil%20career%20statistics
|
This is a list of the main career statistics of professional Canadian tennis player Vasek Pospisil.
Performance timelines
Singles
Current through the 2023 Canadian Open.
Notes
Doubles
Grand Slam finals
Doubles: 1 (1 title)
Other significant finals
Masters 1000 finals
Doubles: 6 (1 title, 5 runners-up)
Olympic medal matches
Doubles: 1 (4th place)
ATP career finals
Singles: 3 (3 runners-ups)
Doubles: 15 (7 titles, 8 runners-up)
Other finals
Team competitions: 2 (1 win, 1 runner-up)
Challenger and Futures finals
Singles: 30 (21 titles, 9 runner-ups)
Doubles: 31 (17 titles, 14 runner–ups)
Junior Grand Slam finals
Doubles: 2 (2 runners-up)
Record against other players
Record against top 10 players
Pospisil's match record against players who have been ranked in the top 10, with those who are active in boldface. Only ATP Tour main draw matches are considered:
Wins over top-10 opponents
Pospisil has a record against players who were, at the time the match was played, ranked in the top 10.
Coaches
References
Pospisil, Vasek
|
https://en.wikipedia.org/wiki/James%20W.%20Fraser
|
James Walter Fraser is an American educationalist, pastor, and academic administrator. He is a professor of history and education and chair of the applied statistics, social science, and humanities department at the Steinhardt School of Culture, Education, and Human Development. Fraser is dean of education at the University of the People. He is a past president of the History of Education Society. Fraser was the pastor at Grace Church Federated from 1986 to 2006.
Education
Fraser completed a B.A. in American History at University of California, Santa Barbara in June 1966. He earned an elementary school teaching credential in August 1968 from New York University. Fraser graduated, cum laude, in May 1970 with a M.Div. in Religious History from Union Theological Seminary. He earned a Ph.D. in the History of American Education from Columbia University in May 1975.
Career
Fraser was a elementary school teacher at public school 76 in Manhattan from 1968 to 1970. He was a teaching assistant at Barnard College from 1970 to 1972. From 1972 to 1978, Fraser was an associate pastor at the Church of the Covenant.
Fraser was a research fellow at the Auburn Theological Seminary from 1974 to 1977. He was an assistant professor of education at Wellesley College from 1976 to 1978. Fraser was an assistant professor of religion and education from 1978 to 1984 at Boston University School of Theology. He was chair of the religion and social sciences department from 1979 to 1982.
At the University of Massachusetts Boston College of Public and Community Service Fraser, was an assistant and then associate professor from 1984 to 1990. He was director of advising from 1984 to 1987 and director of assessment from 1987 to 1990. Fraser was a senior associate in the John W. McCormack Institute for Public Affairs from 1984 to 1993. He was an adjunct associate professor in the school of education at University of Massachusetts Amherst from 1984 to 1993.
From 1986 to 2006, Fraser served as the pastor of Grace Church Federated, a United Church of Christ and Episcopal Church.
Fraser was professor of education and dean of educational studies and public policy at Lesley College from 1990 to 1993.
From 1993 to 2006, Fraser was a professor of history and education at Northeastern University. From 1993 to 1999, he was director of the center for innovation in urban education. From 1999 to 2004, Fraser was the founding dean of the Northeastern University School of Education.
Fraser joined the faculty at the Steinhardt School of Culture, Education, and Human Development in 2006 as a professor of history and education. He was senior vice president for programs of the Woodrow Wilson national fellowship foundation from 2008 to 2012. In 2015, he became chair of the department of applied statistics, social science, and humanities at Steinhardt.
Fraser was president of the History of Education Society from 2013 to 2014.
Fraser is dean of education at the University of the People.
P
|
https://en.wikipedia.org/wiki/2017%20Women%27s%20Cricket%20World%20Cup%20statistics
|
The following is a list of all the major statistics and records for the 2017 Women's Cricket World Cup, held in England and Wales from 24 June to 23 July 2017. It was the eleventh edition of the Women's Cricket World Cup. Notable records include England scoring 377 against Pakistan, the second-highest World Cup team score, and Anya Shrubsole taking 6/26 in the Final against India, the third best bowling figures in a World Cup.
Team
Highest team totals
England's total of 377 against Pakistan is the second-highest team score in a World Cup.
Batting
Most runs
The 2017 World Cup had three players scoring over 400 runs in the tournament for the first time World Cup history, the previous best being two players over 400 runs in a tournament, in 1997.
Highest individual scores
Chamari Atapattu's 178* was the second highest World Cup score of all time and the fourth highest in all WODIs.
Highest partnerships
Tammy Beaumout and Sarah Taylor's partnership of 275 for the 2nd wicket is the highest partnership for any wicket in World Cup history, and the third-highest in all WODIs.
Highest partnerships by wicket
Alex Blackwell and Kristen Beams' partnership of 76 for the 10th wicket is the highest in WODIs.
Bowling
Most wickets
Best bowling
Anya Shrubsole's figures of 6/46 are the third best bowling figures in a World Cup.
Fielding
Most catches
Most catches in a match
Wicket-keeping
Most dismissals
Most dismissals in a match
Team of the Tournament
The ICC announced its team of the tournament on 24 July 2017.
Tammy Beaumont (England)
Laura Wolvaardt (South Africa)
Mithali Raj (captain) (India)
Ellyse Perry (Australia)
Sarah Taylor (wicketkeeper) (England)
Harmanpreet Kaur (India)
Deepti Sharma (India)
Marizanne Kapp (South Africa)
Dane van Niekerk (South Africa)
Anya Shrubsole (England)
Alex Hartley (England)
Nat Sciver (12th) (England)
References
statistics
|
https://en.wikipedia.org/wiki/Innovation%20Method
|
In statistics, the Innovation Method provides an estimator for the parameters of stochastic differential equations given a time series of (potentially noisy) observations of the state variables. In the framework of continuous-discrete state space models, the innovation estimator is obtained by maximizing the log-likelihood of the corresponding discrete-time innovation process with respect to the parameters. The innovation estimator can be classified as a M-estimator, a quasi-maximum likelihood estimator or a prediction error estimator depending on the inferential considerations that want to be emphasized. The innovation method is a system identification technique for developing mathematical models of dynamical systems from measured data and for the optimal design of experiments.
Background
Stochastic differential equations (SDEs) have become an important mathematical tool for describing the time evolution of several random phenomenon in natural, social and applied sciences. Statistical inference for SDEs is thus of great importance in applications for model building, model selection, model identification and forecasting. To carry out statistical inference for SDEs, measurements of the state variables of these random phenomena are indispensable. Usually, in practice, only a few state variables are measured by physical devices that introduce random measurement errors (observational errors).
Mathematical model for inference
The innovation estimator. for SDEs is defined in the framework of continuous-discrete state space models. These models arise as natural mathematical representation of the temporal evolution of continuous random phenomena and their measurements in a succession of time instants. In the simplest formulation, these continuous-discrete models are expressed in term
of a SDE of the form
describing the time evolution of state variables of the phenomenon for all time instant , and an observation equation
describing the time series of measurements of at least one of the variables of the random phenomenon on time instants . In the model (1)-(2), and are differentiable functions, is an -dimensional standard Wiener process, is a vector of parameters, is a sequence of -dimensional i.i.d. Gaussian random vectors independent of , an positive definite matrix, and an matrix.
Statistical problem to solve
Once the dynamics of a phenomenon is described by a state equation as (1) and the way of measurement the state variables specified by an observation equation as (2), the inference problem to solve is the following: given partial and noisy observations of the stochastic process on the observation times , estimate the unobserved state variable of and the unknown parameters in (1) that better fit to the given observations.
Discrete-time innovation process
Let be the sequence of observation times of the states of (1), and the time series of partial and noisy measurements of described by the observation equation
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https://en.wikipedia.org/wiki/Saqr%20Mamdouh
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Saqr Mamdouh Al-Enezi (, born 3 October 1998) is a Saudi Arabian professional footballer who plays as a left back for Pro League side Al-Batin.
Career statistics
Club
References
External links
1998 births
Living people
Saudi Arabian men's footballers
Men's association football fullbacks
Al Batin FC players
Saudi Pro League players
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https://en.wikipedia.org/wiki/Rank-width
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Rank-width is a graph width parameter used in graph theory and parameterized complexity, and defined using linear algebra.
It is defined from hierarchical clusterings of the vertices of a given graph, which can be visualized as ternary trees having the vertices as their leaves. Removing any edge from such a tree disconnects it into two subtrees and partitions the vertices into two subsets. The graph edges that cross from one side of the partition to the other can be described by a biadjacency matrix; for the purposes of rank-width, this matrix is defined over the finite field GF(2) rather than using real numbers. The rank-width of a graph is the maximum of the ranks of the biadjacency matrices, for a clustering chosen to minimize this maximum.
Rank-width is closely related to clique-width: , where is the clique-width. However, clique-width is NP-hard to compute, for graphs of large clique-width, and its parameterized complexity is unknown. In contrast, testing whether the rank-width is at most a constant takes polynomial time, and even when the rank-width is not constant it can be approximated, with a constant approximation ratio, in polynomial time. For this reason, rank-width can be used as a more easily computed substitute for clique-width.
An example of a family of graphs with high rank-width is provided by the square grid graphs. For an grid graph, the rank-width is exactly .
References
Graph minor theory
Linear algebra
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https://en.wikipedia.org/wiki/Cluster%20prime
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In number theory, a cluster prime is a prime number such that every even positive integer k ≤ p − 3 can be written as the difference between two prime numbers not exceeding (). For example, the number 23 is a cluster prime because 23 − 3 = 20, and every even integer from 2 to 20, inclusive, is the difference of at least one pair of prime numbers not exceeding 23:
5 − 3 = 2
7 − 3 = 4
11 − 5 = 6
11 − 3 = 8
13 − 3 = 10
17 − 5 = 12
17 − 3 = 14
19 − 3 = 16
23 − 5 = 18
23 − 3 = 20
On the other hand, 149 is not a cluster prime because 140 < 146, and there is no way to write 140 as the difference of two primes that are less than or equal to 149.
By convention, 2 is not considered to be a cluster prime. The first 23 odd primes (up to 89) are all cluster primes. The first few odd primes that are not cluster primes are
97, 127, 149, 191, 211, 223, 227, 229, ...
It is not known if there are infinitely many cluster primes.
Properties
The prime gap preceding a cluster prime is always six or less. For any given prime number , let denote the n-th prime number. If ≥ 8, then − 9 cannot be expressed as the difference of two primes not exceeding ; thus, is not a cluster prime.
The converse is not true: the smallest non-cluster prime that is the greater of a pair of gap length six or less is 227, a gap of only four between 223 and 227. 229 is the first non-cluster prime that is the greater of a twin prime pair.
The set of cluster primes is a small set. In 1999, Richard Blecksmith proved that the sum of the reciprocals of the cluster primes is finite.
Blecksmith also proved an explicit upper bound on C(x), the number of cluster primes less than or equal to x. Specifically, for any positive integer : for all sufficiently large x.
It follows from this that almost all prime numbers are absent from the set of cluster primes.
References
External links
Classes of prime numbers
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https://en.wikipedia.org/wiki/Diamagnetic%20inequality
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In mathematics and physics, the diamagnetic inequality relates the Sobolev norm of the absolute value of a section of a line bundle to its covariant derivative. The diamagnetic inequality has an important physical interpretation, that a charged particle in a magnetic field has more energy in its ground state than it would in a vacuum.
To precisely state the inequality, let denote the usual Hilbert space of square-integrable functions, and the Sobolev space of square-integrable functions with square-integrable derivatives.
Let be measurable functions on and suppose that is real-valued, is complex-valued, and .
Then for almost every ,
In particular, .
Proof
For this proof we follow Elliott H. Lieb and Michael Loss.
From the assumptions, when viewed in the sense of distributions and
for almost every such that (and if ).
Moreover,
So
for almost every such that . The case that is similar.
Application to line bundles
Let be a U(1) line bundle, and let be a connection 1-form for .
In this situation, is real-valued, and the covariant derivative satisfies for every section . Here are the components of the trivial connection for .
If and , then for almost every , it follows from the diamagnetic inequality that
The above case is of the most physical interest. We view as Minkowski spacetime. Since the gauge group of electromagnetism is , connection 1-forms for are nothing more than the valid electromagnetic four-potentials on .
If is the electromagnetic tensor, then the massless Maxwell–Klein–Gordon system for a section of are
and the energy of this physical system is
The diamagnetic inequality guarantees that the energy is minimized in the absence of electromagnetism, thus .
See also
Citations
Inequalities
Electromagnetism
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https://en.wikipedia.org/wiki/Clarice%20Weinberg
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Clarice Ring Weinberg is an American biostatistician and epidemiologist who works for the National Institute of Environmental Health Sciences as principal investigator in the Biostatistics and Computational Biology Branch. Her research concerns environmental epidemiology, and its combination with genetics in susceptibility to disease, including running the Sister Study on how environmental and genetic effects can lead to breast cancer. She has also published highly cited research on fertility.
Education and career
Weinberg is originally from Connecticut. She majored in mathematics at Simmons College, graduating in 1972, earned a master's degree in mathematics from Brandeis University in 1974, and completed a Ph.D. in biomathematics from the University of Washington in 1980. Her dissertation, A Test for Clustering on the Circle, was supervised by Lloyd Delbert Fisher Jr.
After three years as an acting assistant professor at the University of Washington, she joined the National Institute of Environmental Health Sciences as a mathematical statistician in 1983. She became deputy chief of the Biostatistics and Computational Biology Branch in 1997, and has held an adjunct faculty appointment at the University of North Carolina at Chapel Hill since 1986.
Recognition
Weinberg was named a Fellow of the American Statistical Association in 1995. She won the Nathan Mantel Award of the Statistics in Epidemiology Section of the American Statistical Association in 2005, in recognition of her lifetime contributions to "statistical methods developed to solve problems in epidemiology resulting from involvement in epidemiological analysis". She was also the 2005 winner of the Janet L. Norwood Award for outstanding achievement by a woman in the statistical sciences.
References
External links
Year of birth missing (living people)
Living people
American statisticians
American women statisticians
American epidemiologists
American women epidemiologists
Biostatisticians
Simmons University alumni
Brandeis University alumni
University of Washington alumni
Fellows of the American Statistical Association
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https://en.wikipedia.org/wiki/Probability%20of%20direction
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In Bayesian statistics, the Probability of Direction (pd) is a measure of effect existence representing the certainty with which an effect is positive or negative. This index is numerically similar to the frequentist p-value.
Definition
It is mathematically defined as the proportion of the posterior distribution that is of the median's sign. It typically varies between 50% and 100%.
History
The original formulation of this index and its usage in Bayesian statistics can be found in the psycho software documentation by Dominique Makowski under the appellation Maximum Probability of Effect (MPE). It was later renamed Probability of Direction and implemented in the easystats collection of software. Similar formulations have also been described in the context of bootstrapped parameters interpretation.
Properties
The probability of direction is typically independent of the statistical model, as it is solely based on the posterior distribution and does not require any additional information from the data or the model. Contrary to indices related to the Region of Practical Interest (ROPE), it is robust to the scale of both the response variable and the predictors. However, similarly to its frequentist counterpart - the p-value, this index is not able to quantify evidence in favor of the null hypothesis. Advantages and limitations of the probability of direction have been studied by comparing it to other indices including the Bayes factor or Bayesian Equivalence test.
Relationship with p-value
The probability of direction has a direct correspondence with the frequentist one-sided p-value through the formula and to the two-sided p-value through the formula . Thus, a two-sided p-value of respectively .1, .05, .01 and .001 would correspond approximately to a pd of 95%, 97.5%, 99.5% and 99.95%. The proximity between the pd and the p-value is in line with the interpretation of the former as an index of effect existence, as it follows the original definition of the p-value.
Interpretation
The bayestestR package for R suggests the following rule of thumb guidelines:
style="text-align: left; margin-left: auto; margin-right: auto; border: none;"
! pd !! p-value equivalence !! Interpretation
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| || || Uncertain
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| || || Possibly existing
|-
| || || Likely existing
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| || || Probably existing
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| || || Certainly existing
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See also
Bayes factor
Equivalence test
p-value
References
External links
bayestestR — an R package for computing Bayesian indices
Bayesian statistics
Probability and statistics
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https://en.wikipedia.org/wiki/William%20Crosby%20Marshall
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William Crosby Marshall (September 21, 1870 – February 1, 1934) was an American mechanical and consulting engineer, Professor of Machine Design and Descriptive Geometry at the Sheffield Scientific School of Yale University and author.
Life and work
Youth and early career at Yale
Marshall was the son of Rev. Henry Grimes Marshall and Marietta (Crosby) Marshall. He grew up in Avon, Connecticut, were he attended the New Haven High School.
After some mechanical engineering course he started his career as structural engineer with the Berlin Iron Bridge Company in 1890. In 1893 he continued his studies at the Sheffield Scientific School, where he obtained his Master in Engineer in 1893. The next two years at Yale he was assistant in mechanical engineering and from 1894 to 1902 instructor in drawing and descriptive geometry. In 1902 at Yale Marshall was appointed assistant professor 1902–1912 and in 1912–13 professor in machine design.
In those years Marshall had continued his graduate study at the Sheffield Scientific School since 1895, and obtained his C.E. in 1900. In the years 1906–07 he had taken a sabbatical to study at the École d'Application du Gènie Maritime in Paris.
Further career in industry
At the age of 43 Marshall continued his career as consulting engineer in the Industry. He started in 1913 as construction engineer for the Federal Sugar Refining Co., and in 1915 became research engineer at the Bridgeport Works of the Remington Arms Union Metallic Cartridge Co. in Bridgeport, Connecticut.
In 1917 Marshall had started as mechanical engineer with the Holt Manufacturing Company in Peoria, Illinois, when on September 13, 1917, he was called upon to serve in the war industry. First he was Captain in Ordnance Department, U.S.A, and became assistant chief of the Inspection Division of the Small Arms Weapons Section at Washington, D.C. At the end of the war he was discharge February 19, 1919.
In 1919 Marshall went to Italy for six months as trade commissioner for the U.S. Department of Commerce on industrial machinery. Back in the States he again worked as mechanical engineer and consulting engineer for several companies for a shorter period of time: the National Spun Silk Company in New York; the U.S. Hoffman Machinery Company of Syracuse, where he was chief engineer; the Trexler Company of America at Wilmington, Delaware; Richard Hellman, Inc. at Long Island where he was maintenance and plant engineer, etc.
Works and memberships
In 1912 Marshall published his first work Elementary machine drawing and design in New York by McGraw-Hill, and in 1921 a second work on charts and graphs.
Marshall had been member of the American Society of Mechanical Engineers, member of the Society of Automotive Engineers and member of the Society for the Promotion of Engineering Education.
Marshall died February 1, 1934, in Wallingford, Connecticut.
Publications
Descriptive Geometry: For the Use of Students in Engineering at the Sheffield Scientific
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https://en.wikipedia.org/wiki/Suvam%20Sen
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Suvam Sen (born 14 November 1989) is an Indian professional footballer who plays as a goalkeeper for East Bengal in the Indian Super League.
Statistics
References
External links
ISL profile
Indian Super League players
East Bengal Club players
1989 births
Footballers from West Bengal
Living people
Indian men's footballers
Men's association football goalkeepers
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https://en.wikipedia.org/wiki/Convolution%20%28disambiguation%29
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In mathematics, convolution is a binary operation on functions.
Kinds
Circular convolution
Convolution theorem
Titchmarsh convolution theorem
Dirichlet convolution
Infimal convolution
Logarithmic convolution
Vandermonde convolution
Applications
Convolution, in digital image processing, with a Kernel (image processing)
Convolutional code, in telecommunication
Convolution of probability distributions
Convolution reverb, a process used for digitally simulating the reverberation of a physical or virtual space
Convolution random number generator, a pseudo-random number sampling method that can be used to generate random variates from certain classes of probability distribution
See also
Convolute (disambiguation)
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https://en.wikipedia.org/wiki/Flag%20algebra
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Flag algebras are an important computational tool in the field of graph theory which have a wide range of applications in homomorphism density and related topics. Roughly, they formalize the notion of adding and multiplying homomorphism densities and set up a framework to solve graph homomorphism inequalities with computers by reducing them to semidefinite programming problems. Originally introduced by Alexander Razborov in a 2007 paper, the method has since come to solve numerous difficult, previously unresolved graph theoretic questions. These include the question regarding the region of feasible edge density, triangle density pairs and the maximum number of pentagons in triangle free graphs.
Motivation
The motivation of the theory of flag algebras is credited to John Adrian Bondy and his work on the Caccetta-Haggkvist conjecture, where he illustrated his main ideas via a graph homomorphism flavored proof to Mantel's Theorem. This proof is an adaptation on the traditional proof of Mantel via double counting, except phrased in terms of graph homomorphism densities and shows how much information can be encoded with just density relationships.
Theorem (Mantel): The edge density in a triangle-free graph is at most . In other words,
As the graph is triangle-free, among 3 vertices in , they can either form an independent set, a single induced edge , or a path of length 2 . Denoting as the induced density of a subgraph in , double counting gives:
Intuitively, since a just consists of two s connected together, and there are 3 ways to label the common vertex among a set of 3 points. In fact, this can be rigorously proven by double counting the number of induced s. Letting denote the number of vertices of , we have:
where is the path of length 2 with its middle vertex labeled, and represents the density of s subject to the constraint that the labeled vertex is used, and that is counted as a proper induced subgraph only when its labeled vertex coincides with . Now, note that since the probability of choosing two s where the unlabeled vertices coincide is small (to be rigorous, a limit as should be taken, so acts as a limit function on a sequence of larger and larger graphs . This idea will be important for the actual definition of flag algebras.)
To finish, apply the Cauchy–Schwarz inequality to get
Plugging this back into our original relation proves what was hypothesized intuitively. Finally, note that so
The important ideas from this proof which will be generalized in the theory of flag algebras are substitutions such as , the use of labeled graph densities, considering only the "limit case" of the densities, and applying Cauchy at the end to get a meaningful result.
Definition
Fix a collection of forbidden subgraphs and consider the set of graphs of -free graphs. Now, define a type of size to be a graph with labeled vertices . The type of size 0 is typically denoted as .
First, we define a -flag, a partially labeled graph wh
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https://en.wikipedia.org/wiki/Hypergraph%20regularity%20method
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In mathematics, the hypergraph regularity method is a powerful tool in extremal graph theory that refers to the combined application of the hypergraph regularity lemma and the associated counting lemma. It is a generalization of the graph regularity method, which refers to the use of Szemerédi's regularity and counting lemmas.
Very informally, the hypergraph regularity lemma decomposes any given -uniform hypergraph into a random-like object with bounded parts (with an appropriate boundedness and randomness notions) that is usually easier to work with. On the other hand, the hypergraph counting lemma estimates the number of hypergraphs of a given isomorphism class in some collections of the random-like parts. This is an extension of Szemerédi's regularity lemma that partitions any given graph into bounded number parts such that edges between the parts behave almost randomly. Similarly, the hypergraph counting lemma is a generalization of the graph counting lemma that estimates number of copies of a fixed graph as a subgraph of a larger graph.
There are several distinct formulations of the method, all of which imply the hypergraph removal lemma and a number of other powerful results, such as Szemerédi's theorem, as well as some of its multidimensional extensions. The following formulations are due to V. Rödl, B. Nagle, J. Skokan, M. Schacht, and Y. Kohayakawa, for alternative versions see Tao (2006), and Gowers (2007).
Definitions
In order to state the hypergraph regularity and counting lemmas formally, we need to define several rather technical terms to formalize appropriate notions of pseudo-randomness (random-likeness) and boundedness, as well as to describe the random-like blocks and partitions.
Notation
denotes a -uniform clique on vertices.
is an -partite -graph on vertex partition .
is the family of all -element vertex sets that span the clique in . In particular, is a complete -partite -graph.
The following defines an important notion of relative density, which roughly describes the fraction of -edges spanned by -edges that are in the hypergraph. For example, when , the quantity is equal to the fraction of triangles formed by 2-edges in the subhypergraph that are 3-edges. Definition [Relative density]. For , fix some classes of with . Suppose is an integer. Let be a subhypergraph of the induced -partite graph . Define the relative density .What follows is the appropriate notion of pseudorandomness that the regularity method will use. Informally, by this concept of regularity, -edges () have some control over -edges (). More precisely, this defines a setting where density of edges in large subhypergraphs is roughly the same as one would expect based on the relative density alone. Formally,Definition [()-regularity]. Suppose are positive real numbers and is an integer. is ()-regular with respect to if for any choice of classes and any collection of subhypergraphs of satisfying we have .Roughly speaking, the f
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https://en.wikipedia.org/wiki/Guacolda%20Antoine%20Lazzerini
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Guacolda Antoine Lazzerini (11 April 1908 – 22 August 2015) was a Chilean mathematician and teacher of mathematics.
Education and career
Antoine's father died when Antoine was a teenager, and she began helping to support the family by teaching mathematics. She entered the teaching school of the University of Chile in 1924, and finished her studies there in 1928, earning the title of professor of mathematics and physics with a thesis on differential equations and their application in pedagogy and engineering. She became a high school mathematics teacher at the Liceo José Victorino Lastarria (Santiago), and continued to teach there for the next 30 years.
Meanwhile, she also became a professor at the from 1928 to 1931, earning a credential as an actuary there in 1929. In 1933 she became an assistant professor at the University of Chile, and by 1954 she was promoted to full professor there. She was named a professor in Chile's school for industrial engineers in 1947, which in 1953 merged into the (UTE). She also helped found The Kent School, a private school in Santiago, in 1953. From 1958 to 1962 she held a position at the UTE equivalent to that of a dean, the first woman at that level in UTE, and from 1963 to 1968 she was head of the mathematics department in the faculty of philosophy and education at the University of Chile. In the 1950s and 1960s she also represented Chile in several international events concerning mathematics teaching. She retired in 1985, but remained active in mathematics long afterward.
Book
In 1971, Antoine coauthored the book Nuevas Matematicas Para Los Padres [New Mathematics for Parents], with María Lara. It concerned New Math and set theory, subjects popular in mathematics education at the time.
Personal life
Antoine was born on 11 April 1908 in Santiago, one of seven children in a family of immigrants; her mother was from Italy and her father from France, both emigrating to Chile as children in the occupation of Araucanía of the late 18th century. In 1944 she married Arcadio Escobar Zapata, a high school inspector and law student; they had two children. She died on 22 August 2015.
Recognition
In 1992, Antoine was a nominee for the National Education Award. Antoine was honored by the Agrupación de Mujeres Ingenieros in 1997, as part of their celebration of International Women's Day.
References
External links
Pionera Guacolda Antoine Lazzerini, Blogspot
1908 births
2015 deaths
20th-century Chilean mathematicians
Chilean centenarians
Chilean women scientists
Women mathematicians
Women centenarians
Mathematics educators
University of Chile alumni
Academic staff of the University of Chile
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https://en.wikipedia.org/wiki/Quasirandom%20group
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In mathematics, a quasirandom group is a group that does not contain a large product-free subset. Such groups are precisely those without a small non-trivial irreducible representation. The namesake of these groups stems from their connection to graph theory: bipartite Cayley graphs over any subset of a quasirandom group are always bipartite quasirandom graphs.
Motivation
The notion of quasirandom groups arises when considering subsets of groups for which no two elements in the subset have a product in the subset; such subsets are termed product-free. László Babai and Vera Sós asked about the existence of a constant for which every finite group with order has a product-free subset with size at least . A well-known result of Paul Erdős about sum-free sets of integers can be used to prove that suffices for abelian groups, but it turns out that such a constant does not exist for non-abelian groups.
Both non-trivial lower and upper bounds are now known for the size of the largest product-free subset of a group with order . A lower bound of can be proved by taking a large subset of a union of sufficiently many cosets, and an upper bound of is given by considering the projective special linear group for any prime . In the process of proving the upper bound, Timothy Gowers defined the notion of a quasirandom group to encapsulate the product-free condition and proved equivalences involving quasirandomness in graph theory.
Graph quasirandomness
Formally, it does not make sense to talk about whether or not a single group is quasirandom. The strict definition of quasirandomness will apply to sequences of groups, but first bipartite graph quasirandomness must be defined. The motivation for considering sequences of groups stems from its connections with graphons, which are defined as limits of graphs in a certain sense.
Fix a real number A sequence of bipartite graphs (here is allowed to skip integers as long as tends to infinity) with having vertices, vertex parts and , and edges is quasirandom if any of the following equivalent conditions hold:
For every bipartite graph with vertex parts and , the number of labeled copies of in with embedded in and embedded in is Here, the function is allowed to depend on
The number of closed, labeled walks of length 4 in starting in is
The number of edges between and is for any pair of subsets and
, where denotes the number of common neighbors of and
The largest eigenvalue of 's adjacency matrix is and all other eigenvalues have magnitude at most
It is a result of Chung–Graham–Wilson that each of the above conditions is equivalent. Such graphs are termed quasirandom because each condition asserts that the quantity being considered is approximately what one would expect if the bipartite graph was generated according to the Erdős–Rényi random graph model; that is, generated by including each possible edge between and independently with probability
Though quasira
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https://en.wikipedia.org/wiki/List%20of%20things%20named%20after%20Ren%C3%A9%20Descartes
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This is the list of things named after René Descartes (1596–1650), a French philosopher, mathematician, and scientist.
Computer science
Cartesian genetic programming
Cartesian tree
Mathematics
Cartesian closed category
Cartesian geometry
Cartesian coordinate system
Cartesian equations
Cartesian plane
Cartesian tensor
Cartesian monoid
Cartesian monoidal category
Cartesian closed category
Cartesian oval
Cartesian product
Cartesian product of graphs
Cartesian square
Cartesian morphisms
Descartes number
Descartes' rule of signs
Descartes snark
Descartes' theorem
Descartes' theorem on total angular defect
Folium of Descartes
Physics
Cartesian diver
Cartesian vortex theory
Snell–Descartes law
Philosophy
Cartesian anxiety
Cartesian circle
Cartesian doubt
Cartesian dualism
Cartesian materialism
Cartesian other
Cartesian theater
Cartesian Method
Descartes' demon
Robotics
Cartesian coordinate robot
Cartesian parallel manipulators
Other
Blanche Descartes
Cartesian linguistics
Cartesian Meditations
Cartesian Reflections
Descartes (crater)
Descartes-class cruiser
Descartes' Error
Descartes-Huygens Prize
Descartes Island (Antarctica)
Descartes on Polyhedra
Descartes Prize
Lycée René Descartes (Champs-sur-Marne)
Descartes
Descartes
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https://en.wikipedia.org/wiki/List%20of%20things%20named%20after%20Georg%20Cantor
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This is a list of things named after Georg Cantor (1845–1918), a German mathematician.
Mathematics
Cantor algebra
Cantor cube
Cantor distribution
Cantor function
Cantor normal form
Cantor pairing function
Cantor set
Cantor space
Cantor tree surface
Cantor's back-and-forth method
Cantor's diagonal argument
Cantor's intersection theorem
Cantor's isomorphism theorem
Cantor's first set theory article
Cantor's leaky tent
Cantor's paradox
Cantor's theorem
Cantor–Bendixson rank
Cantor–Bendixson theorem
Cantor–Bernstein theorem
Cantor–Dedekind axiom
Heine–Cantor theorem
Cantor–Schröder–Bernstein theorem
Cantor–Schröder–Bernstein property
Smith–Volterra–Cantor set
Other
Cantor (asteroid)
Cantor (crater)
Cantor medal
Georg Cantor Gymnasium
Cantor
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https://en.wikipedia.org/wiki/Helmut%20Rechenberg
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Helmut Rechenberg (November 6, 1937, in Berlin – November 10, 2016, in Munich) was a German physicist and science historian.
Rechenberg studied mathematics, physics and astronomy at the University of Munich and graduated in 1964. At Munich, his work was in experimental physics, studying the magnetism of solids. He moved to the Max Planck Institute for Physics in Munich, where he became Werner Heisenberg's doctoral student. In 1968, he graduated with a doctorate on quantum field theory. From 1970 to 1972 he worked at the University of Texas at Austin, collaborating with George Sudarshan on quantum field theory and with Jagdish Mehra on science history. He then returned to Germany and the Max Planck Institute, from which he officially retired in 2002.
His six-volume work with Jagdish Mehra on the history of quantum mechanics has been described as "an extraordinary amount of painstaking scholarship". Rechenberg also co-edited Werner Heisenberg's collected works and from 1977 headed the MPI's Werner Heisenberg Archive. After retiring, he wrote a two-volume biography of Heisenberg.
From 1991 to 2006, he was also a board member of the Deutsche Physikalische Gesellschaft's Physics History Association.
References
External links
Quantum Mechanics on the Move film
1937 births
2016 deaths
German physicists
Historians of science
Ludwig Maximilian University of Munich alumni
University of Texas at Austin faculty
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https://en.wikipedia.org/wiki/Henry%20Hore
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Harry "Henry" Hore (born 17 August 1999), is an Australian professional footballer who plays as a attacking midfielder for Brisbane Roar.
Career statistics
References
External links
Living people
1999 births
Australian men's soccer players
Men's association football midfielders
Brisbane Roar FC players
Perth Glory FC players
South Melbourne FC players
A-League Men players
National Premier Leagues players
People from Nambour, Queensland
Soccer players from Queensland
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https://en.wikipedia.org/wiki/Common%20graph
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In graph theory, an area of mathematics, common graphs belong to a branch of extremal graph theory concerning inequalities in homomorphism densities. Roughly speaking, is a common graph if it "commonly" appears as a subgraph, in a sense that the total number of copies of in any graph and its complement is a large fraction of all possible copies of on the same vertices. Intuitively, if contains few copies of , then its complement must contain lots of copies of in order to compensate for it.
Common graphs are closely related to other graph notions dealing with homomorphism density inequalities. For example, common graphs are a more general case of Sidorenko graphs.
Definition
A graph is common if the inequality:
holds for any graphon , where is the number of edges of and is the homomorphism density.
The inequality is tight because the lower bound is always reached when is the constant graphon .
Interpretations of definition
For a graph , we have and for the associated graphon , since graphon associated to the complement is . Hence, this formula provides us with the very informal intuition to take a close enough approximation, whatever that means, to , and see as roughly the fraction of labeled copies of graph in "approximate" graph . Then, we can assume the quantity is roughly and interpret the latter as the combined number of copies of in and . Hence, we see that holds. This, in turn, means that common graph commonly appears as subgraph.
In other words, if we think of edges and non-edges as 2-coloring of edges of complete graph on the same vertices, then at least fraction of all possible copies of are monochromatic. Note that in a Erdős–Rényi random graph with each edge drawn with probability , each graph homomorphism from to have probability of being monochromatic. So, common graph is a graph where it attains its minimum number of appearance as a monochromatic subgraph of graph at the graph with
. The above definition using the generalized homomorphism density can be understood in this way.
Examples
As stated above, all Sidorenko graphs are common graphs. Hence, any known Sidorenko graph is an example of a common graph, and, most notably, cycles of even length are common. However, these are limited examples since all Sidorenko graphs are bipartite graphs while there exist non-bipartite common graphs, as demonstrated below.
The triangle graph is one simple example of non-bipartite common graph.
, the graph obtained by removing an edge of the complete graph on 4 vertices , is common.
Non-example: It was believed for a time that all graphs are common. However, it turns out that is not common for . In particular, is not common even though is common.
Proofs
Sidorenko graphs are common
A graph is a Sidorenko graph if it satisfies for all graphons .
In that case, . Furthermore, , which follows from the definition of homomorphism density. Combining this with Jensen's inequality for the function
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https://en.wikipedia.org/wiki/Comparison%20of%20programming%20languages%20%28algebraic%20data%20type%29
|
This article compares the syntax for defining and instantiating an algebraic data type (ADT), sometimes also referred to as a tagged union, in various programming languages.
Examples of algebraic data types
Ceylon
In Ceylon, an ADT may be defined with:
abstract class Tree()
of empty | Node {}
object empty
extends Tree() {}
final class Node(shared Integer val, shared Tree left, shared Tree right)
extends Tree() {}
And instantiated as:
value myTree = Node(42, Node(0, empty, empty), empty);
Clean
In Clean, an ADT may be defined with:
:: Tree
= Empty
| Node Int Tree Tree
And instantiated as:
myTree = Node 42 (Node 0 Empty Empty) Empty
Coq
In Coq, an ADT may be defined with:
Inductive tree : Type :=
| empty : tree
| node : nat -> tree -> tree -> tree.
And instantiated as:
Definition my_tree := node 42 (node 0 empty empty) empty.
C++
In C++, an ADT may be defined with:
struct Empty final {};
struct Node final {
int value;
std::unique_ptr<std::variant<Empty, Node>> left;
std::unique_ptr<std::variant<Empty, Node>> right;
};
using Tree = std::variant<Empty, Node>;
And instantiated as:
Tree myTree { Node{
42,
std::make_unique<Tree>(Node{
0,
std::make_unique<Tree>(),
std::make_unique<Tree>()
}),
std::make_unique<Tree>()
} };
Dart
In Dart, an ADT may be defined with:
sealed class Tree {}
final class Empty extends Tree {}
final class Node extends Tree {
final int value;
final Tree left, right;
Node(this.value, this.left, this.right);
}
And instantiated as:
final myTree = Node(42, Node(0, Empty(), Empty()), Empty());
Elm
In Elm, an ADT may be defined with:
type Tree
= Empty
| Node Int Tree Tree
And instantiated as:
myTree = Node 42 (Node 0 Empty Empty) Empty
F#
In F#, an ADT may be defined with:
type Tree =
| Empty
| Node of int * Tree * Tree
And instantiated as:
let myTree = Node(42, Node(0, Empty, Empty), Empty)
F*
In F*, an ADT may be defined with:
type tree =
| Empty : tree
| Node : value:nat -> left:tree -> right:tree -> tree
And instantiated as:
let my_tree = Node 42 (Node 0 Empty Empty) Empty
Free Pascal
In Free Pascal, an ADT may be defined with:
type
TTreeKind = (tkEmpty, tkNode);
PTree = ^TTree;
TTree = record
case FKind: TTreeKind of
tkEmpty: ();
tkNode: (
FValue: Integer;
FLeft, FRight: PTree;
);
end;
And instantiated as:
var
MyTree: PTree;
begin
new(MyTree);
MyTree^.FKind := tkNode;
MyTree^.FValue := 42;
new(MyTree^.FLeft);
MyTree^.FLeft^.FKind := tkNode;
MyTree^.FLeft^.FValue := 0;
new(MyTree^.FLeft^.FLeft);
MyTree^.FLeft^.FLeft^.FKind := tkEmpty;
new(MyTree^.FLeft^.FRight);
MyTree^.FLeft^.FRight^.FKind := tkEmpty;
new(MyTree^.FRight);
MyTree^.FRight^.FKind := tkEmpty;
end.
Haskell
In Haskell, an ADT may be defined with:
data Tree
= Empty
| Node Int Tree Tree
And instantiated as:
myTree = Node 42 (Node 0 Empty
|
https://en.wikipedia.org/wiki/Ryo%20Ishii%20%28footballer%2C%20born%202000%29
|
is a Japanese footballer currently playing as a goalkeeper for YSCC Yokohama, on loan from Urawa Reds.
Career statistics
Club
.
Notes
References
External links
2000 births
Living people
Association football people from Gunma Prefecture
Japanese men's footballers
Japan men's youth international footballers
Men's association football goalkeepers
J3 League players
Urawa Red Diamonds players
Renofa Yamaguchi FC players
YSCC Yokohama players
|
https://en.wikipedia.org/wiki/Arata%20Koyama
|
is a Japanese footballer currently playing as a defender for FC Gifu.
Career statistics
Club
.
Notes
References
1998 births
Living people
Japanese men's footballers
Men's association football defenders
Kansai University alumni
J3 League players
FC Gifu players
|
https://en.wikipedia.org/wiki/Park%20Seung-wook
|
Park Seung-wook (; born 7 May 1997) is a South Korean footballer who plays as a defender for Pohang Steelers.
Career statistics
Club
References
1997 births
Living people
South Korean men's footballers
Men's association football defenders
Korea National League players
K3 League players
K League 1 players
Busan Transportation Corporation FC players
Pohang Steelers players
Dong-Eui University alumni
|
https://en.wikipedia.org/wiki/Lee%20Jun%20%28footballer%29
|
Lee Jun (; born 14 July 1997) is a South Korean footballer currently playing as a goalkeeper for Gwangju FC.
Career statistics
Club
Notes
References
1997 births
Living people
Yonsei University alumni
South Korean men's footballers
South Korea men's youth international footballers
Men's association football goalkeepers
K League 1 players
K League 2 players
Pohang Steelers players
Gwangju FC players
|
https://en.wikipedia.org/wiki/Cho%20Sung-hoon%20%28footballer%29
|
Cho Sung-hoon (; born 21 April 1998) is a South Korean footballer currently playing as a goalkeeper for Pohang Steelers.
Career statistics
Club
Notes
References
1998 births
Living people
Soongsil University alumni
South Korean men's footballers
Men's association football goalkeepers
K League 1 players
Pohang Steelers players
|
https://en.wikipedia.org/wiki/Kim%20Jun-ho%20%28footballer%29
|
Kim Jun-ho (; born 11 December 2002) is a South Korean footballer currently playing as a midfielder for Pohang Steelers.
Career statistics
Club
Notes
References
2002 births
Living people
South Korean men's footballers
Men's association football midfielders
K League 1 players
Pohang Steelers players
|
https://en.wikipedia.org/wiki/Roh%20Kyung-ho
|
Roh Kyung-ho (; born 5 July 2000) is a South Korean footballer currently playing as a midfielder for Pohang Steelers.
Career statistics
Club
Notes
References
2000 births
Living people
South Korean men's footballers
Men's association football midfielders
K League 1 players
Pohang Steelers players
|
https://en.wikipedia.org/wiki/E.%20G.%20Glagoleva
|
Elena Georgievna Glagoleva (, 8 April 1926 – 20 July 2015) was a Soviet and Russian mathematician and mathematics educator who organized a correspondence school for the mathematics in the Soviet Union based at Moscow State University, and as part of the project coauthored two mathematics textbooks with Israel Gelfand.
She is the author of:
Метод координат (with I. M. Gelfand and A. A. Kirillov, 1964); translated into English by Richard A. Silverman as The Coordinate Method (Pocket Mathematical Library, Gordon & Breach, 1969), and by Leslie Cohn and David Sookne as The Method of Coordinates (Library of School Mathematics, MIT Press, 1967; Dover, 2002)
Функции и графики (with I. M. Gelfand and E. E. Schnol, 1965); translated into English as Functions and Graphs by Richard A. Silverman (Pocket Mathematical Library, Gordon & Breach, 1969) and by Thomas Walsh and Randell Magee (MIT Press, 1969; Birkhäuser, 1990; Dover, 2002); translated into German by Reinhard Hoffmann as Funktionen und ihre graphische Darstellung (Teubner, 1971)
Электричество в живых организмах (Electricity in Living Organisms, with M. B. Berkinblit, 1988)
References
1926 births
2015 deaths
Soviet mathematicians
Soviet women mathematicians
Russian mathematicians
Russian women mathematicians
Mathematics educators
|
https://en.wikipedia.org/wiki/Maksymilian%20Sitek
|
Maksymilian Sitek (born 4 December 2000) is a Polish professional footballer who mainly plays as a winger for I liga side Podbeskidzie Bielsko-Biała.
Career statistics
References
External links
2000 births
Footballers from Rzeszów
Living people
Polish men's footballers
Poland men's under-21 international footballers
Men's association football midfielders
Siarka Tarnobrzeg players
Puszcza Niepołomice players
Podbeskidzie Bielsko-Biała players
Stal Mielec players
Ekstraklasa players
I liga players
II liga players
|
https://en.wikipedia.org/wiki/Wiktor%20D%C5%82ugosz
|
Wiktor Długosz (born 1 July 2000) is a Polish professional footballer who plays as a right winger for Ruch Chorzów, on loan from Raków Częstochowa.
Career statistics
Honours
Raków Częstochowa
Ekstraklasa: 2022–23
Polish Cup: 2020–21, 2021–22
Polish Super Cup: 2022
References
External links
2000 births
Living people
Footballers from Kielce
Polish men's footballers
Poland men's youth international footballers
Poland men's under-21 international footballers
Men's association football midfielders
Korona Kielce players
Warta Poznań players
Raków Częstochowa players
Ruch Chorzów players
Ekstraklasa players
I liga players
III liga players
|
https://en.wikipedia.org/wiki/Abhishek%20Suryavanshi
|
Abhishek Dhananjay Suryavanshi (born 12 March 2001) is an Indian professional footballer who plays as a midfielder for Indian Super League club Mohun Bagan.
Career statistics
Club
References
External links
2001 births
Living people
Footballers from Maharashtra
Indian men's footballers
Men's association football midfielders
Mohun Bagan SG players
|
https://en.wikipedia.org/wiki/Jara%20Ackermann
|
Jara Ackermann (born 20 May 2004) is a Liechtensteiner footballer who plays as a goalkeeper for Young Boys and the Liechtenstein national football team.
Career statistics
International
External links
Profile at BSC YB Frauen's website
References
2004 births
Living people
Women's association football goalkeepers
Liechtenstein women's footballers
Liechtenstein women's international footballers
Liechtenstein expatriate sportspeople in Switzerland
Expatriate women's footballers in Switzerland
|
https://en.wikipedia.org/wiki/Bottom%20simulating%20reflector
|
Bottom simulating reflectors (BSRs) are, on seismic reflection profiles, shallow seismic reflection events, characterized by their reflection geometry similar to seafloor bathymetry.
. They have, however, the opposite reflection polarity to the seabed reflection, and frequently intersect the primary reflections.
Cause of Reflection
Seismic reflection is a sound wave bounced back from subsurface at the interface between media with different acoustic properties (density and wave velocity). In geology, the reflections normally occur at the contacts between different rocks, for example, between layers of sedimentary rocks (stratification). The acoustic properties of sedimentary rocks are influenced by their rock materials, pore space and fluid content. Reflections are generally parallel to sedimentary layering or bedding surfaces. Fluid content in pore space, however, sometimes becomes the dominant influence factor for the acoustic properties, therefore, reflections in such case, may not be parallel to bedding surfaces. BSRs are such a case of crossing bedding surfaces.
Drilling results show BSRs approximately marking the base of gas hydrated sediments below the seafloor and the reflection is primarily caused by the free gas contained in sediments below the gas hydrated section. Gas presence in sediments is well known for its drastically lowering the sediment acoustic impedance and hence, generates high amplitude reflection at the interface of gas bearing formation. Formation of gas hydrate in deep sea sediments depends on its ambient pressure and temperature, both which are largely influenced by the depth below seafloor. This is the primary reason for BSRs grossly parallel to the seafloor reflection on seismic profiles.
Formation and Occurrence
Gas hydrates are made of molecules of natural gas, mostly biogenic or thermogenic methane, contained in solid water molecule lattice. They are formed by combining methane with water under elevated pressures and at relatively low temperatures. Hence BSRs are widespread in arctic permafrost regions and in shallow sedimentary columns below seabed in deepwater continental margins
Application
Geologcial hazard studies
Identification of natural gas hydrate in deep sea sediments is crucial for offshore petroleum exploration. Without adequate equipment installed prior to drilling, blowout may occur if penetrating the gas hydrate sediments. Furthermore, presence of gas hydrates in marine sediments may alter sea floor stability, and induce submarine slumping.
Alternative energy resource
Although current production technology has not been proven to be commercially viable, gas hydrates’ global occurrence in deep sea sediments, have still been considered as a potential alternative energy resource. It should be pointed out that areal distribution of BSRs alone is not adequate to properly estimate the potential reserve, since other techniques are needed to address the thickness of sedimentary columns which contai
|
https://en.wikipedia.org/wiki/Percy%20I.%20Bugbee
|
Percy Isaac Bugbee was an American academic administrator and mathematics professor who served as the second president of the State University of New York at Oneonta.
Percy Isaac Bugbee was born in Colton, New York to John F. and Clementina P. Gates Bugbee. His family soon moved to Canton, New York. He attended and graduated from St. Lawrence University. While in college, he was a member of the Beta Theta Pi fraternity and the Phi Beta Kappa honor society.
Bugbee was an educator who taught in Colton, and would later serve as principle of schools in Naples, New York and Newark, New York. When the State Normal School at Oneonta (today SUNY Oneonta) opened in 1889, Bugbee become a professor of mathematics there. He would serve in this role until he became the conductor of the New York State Teachers’ Association. In 1898, Bugbee was put in charge of the State Normal School at Oneonta, succeeding James M. Milne. He would serve as the second leader of the school until 1933, when he resigned shortly after the death of his wife, Ida Maria Farns.
Bugbee held many honors, and was a skilled orator. He was a member of the Otsego County Draft Board, was once the President of the Council of Normal School Principals, and served on Oneonta's Board of Education for over two decades.
Bugbee was a Universalist Christian.
References
1935 deaths
St. Lawrence University alumni
Presidents of campuses of the State University of New York
People from Canton, New York
School board members in New York (state)
|
https://en.wikipedia.org/wiki/Neuberg%20cubic
|
In Euclidean geometry, the Neuberg cubic is a special cubic plane curve associated with a reference triangle with several remarkable properties. It is named after Joseph Jean Baptiste Neuberg (30 October 1840 – 22 March 1926), a Luxembourger mathematician, who first introduced the curve in a paper published in 1884. The curve appears as the first item, with identification number K001, in Bernard Gilbert's Catalogue of Triangle Cubics which is a compilation of extensive information about more than 1200 triangle cubics.
Definitions
The Neuberg cubic can be defined as a locus in many different ways. One way is to define it as a locus of a point in the plane of the reference triangle such that, if the reflections of in the sidelines of triangle are , then the lines are concurrent. However, it needs to be proved that the locus so defined is indeed a cubic curve. A second way is to define it as the locus of point such that if are the circumcenters of triangles , then the lines are concurrent. Yet another way is to define it as the locus of satisfying the following property known as the quadrangles involutifs (this was the way in which Neuberg introduced the curve):
Equation
Let be the side lengths of the reference triangle . Then the equation of the Neuberg cubic of in barycentric coordinates is
Other terminology: 21-point curve, 37-point curve
In the older literature the Neuberg curve commonly referred to as the 21-point curve. The terminology refers to the property of the curve discovered by Neuberg himself that it passes through certain special 21 points associated with the reference triangle. Assuming that the reference triangle is , the 21 points are as listed below.
The vertices
The reflections of the vertices in the opposite sidelines
The orthocentre
The circumcenter
The three points where is the reflection of A in the line joining and where is the intersection of the perpendicular bisector of with and is the intersection of the perpendicular bisector of with ; and are defined similarly
The six vertices of the equilateral triangles constructed on the sides of triangle
The two isogonic centers (the points X(13) and X(14) in the Encyclopedia of Triangle Centers)
The two isodynamic points (the points X(15) and X(16) in the Encyclopedia of Triangle Centers)
The attached figure shows the Neuberg cubic of triangle with all the above mentioned 21 special points on it.
In a paper published in 1925, B. H. Brown reported his discovery of 16 additional special points on the Neuberg cubic making the total number of then known special points on the cubic 37. Because of this, the Neuberg cubic is also sometimes referred to as the 37-point cubic. Currently, a huge number of special points are known to lie on the Neuberg cubic. Gilbert's Catalogue has a special page dedicated to a listing of such special points which are also triangle centers.
Some properties of the Neuberg cubic
Neuberg cubic as a circular cubic
The equat
|
https://en.wikipedia.org/wiki/Kacper%20Zych
|
Kacper Roman Zych (born 12 May 2002) is a Polish professional footballer who plays as a striker for II liga club GKS Jastrzębie.
Career statistics
References
External links
2002 births
Living people
Sportspeople from Cieszyn
Men's association football forwards
Polish men's footballers
Poland men's youth international footballers
MFK Karviná players
GKS Jastrzębie players
Czech First League players
Czech National Football League players
II liga players
Polish expatriate men's footballers
Expatriate men's footballers in the Czech Republic
Polish expatriate sportspeople in the Czech Republic
Footballers from Silesian Voivodeship
|
https://en.wikipedia.org/wiki/Karol%20Knap
|
Karol Knap (born 12 September 2001) is a Polish professional footballer who plays as a midfielder for Cracovia.
Career statistics
References
External links
2001 births
Living people
People from Krosno
Men's association football midfielders
Polish men's footballers
Poland men's youth international footballers
Karpaty Krosno players
Puszcza Niepołomice players
MKS Cracovia players
Ekstraklasa players
I liga players
III liga players
IV liga players
Footballers from Podkarpackie Voivodeship
|
https://en.wikipedia.org/wiki/Koen%20Gijsbers
|
Koen Gijsbers (born 22 August 1958) is a former Dutch sprinter and middle-distance runner. He competed in the men's 400 metres at the 1980 Summer Olympics.
Statistics
Personal bests
Source:
Indoor
Outdoor
Season's best
Source:
Indoor
Outdoor
References
1958 births
Living people
Athletes (track and field) at the 1980 Summer Olympics
Dutch male sprinters
Olympic athletes for the Netherlands
Place of birth missing (living people)
Medalists at the 1979 Summer Universiade
Universiade silver medalists for the Netherlands
Universiade medalists in athletics (track and field)
20th-century Dutch people
21st-century Dutch people
|
https://en.wikipedia.org/wiki/2017%E2%80%9318%20FC%20Desna%20Chernihiv%20season
|
For the 2017–18 season the club competed in the Ukrainian First League and Ukrainian Cup.
Players
Squad information
Transfers
In
Out
Statistics
Appearances and goals
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Goalkeepers
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Defenders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Midfielders
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Forwards
|-
! colspan=16 style=background:#dcdcdc; text-align:center| Players transferred out during the season
Last updated: 31 May 2019
Goalscorers
Last updated: 31 May 2019
References
External links
Official website
FC Desna Chernihiv
Desna Chernihiv
FC Desna Chernihiv seasons
|
https://en.wikipedia.org/wiki/List%20of%20countries%20by%20abortion%20statistics
|
The following lists include countries by total reported abortions, annual abortions and rates according to reports from governments and statisticians.
The CDC or Guttmacher estimates do not account for medical abortions outside a clinic. Some analysts have estimated that the cumulative amount of abortions in the United States may have reached seventy million and that up to two million abortions occurred annually. The Soviet Union had more than 200 million reported abortions throughout its history according to the Johnstons Archive. Since legalization in 1967, there have been 9,331,978 abortions in the United Kingdom according to government reports collected by the Johnstons Archive. In 1974, the Max Planck Society estimated that twenty million abortions had possibly occurred in West Germany since the Second World War.
Note that the Guttmacher study numbers used in the table below are estimates based on statistical models and are not actual reported numbers.
Guttmacher and United Nations Report
See also
Abortion in the United States by state
References
Abortion by country
abortion statistics
|
https://en.wikipedia.org/wiki/Maria%20Silvia%20Lucido
|
Maria Silvia Lucido (22 April 1963 – 4 March 2008) was an Italian mathematician specializing in group theory, and a researcher in mathematics at the University of Udine.
Life, education and career
Lucido was originally from Vicenza, where she was born on 22 April 1963. After working for a bank and a travel agency, she entered mathematical study at the University of Padua in 1986, graduating in 1991. Already as an undergraduate she began research into the theory of finite groups, and wrote an undergraduate thesis on the subject under the supervision of Franco Napolitani. She completed a Ph.D. at Padua in 1996 with the dissertation Il Prime Graph dei gruppi finiti [the prime graphs of finite groups], supervised by Napolitani and co-advised by Carlo Casolo.
After postdoctoral research at the University of Padua and as a Fulbright scholar at Michigan State University, she obtained a permanent position as a researcher at the University of Udine in 1999. She was killed in an automobile accident on March 4, 2008, survived by her husband and two sons.
Research
Lucido was particularly known for her research on prime graphs of finite groups. These are undirected graphs that have a vertex for each prime factor of the order of a group, and that have an edge whenever the given group has an element of order . Her work in this area included
Proving that the connected components of these graphs have diameter at most five, and at most three for solvable groups.
Proving that, when the prime graph is a tree, it has at most eight vertices, and at most four for solvable groups.
Characterizing the finite simple groups for which all components of the prime graphs are cliques.
Lucido founded a series of annual summer schools on the theory of finite groups, held in Venice and sponsored by the University of Udine, beginning in 2004. After her death, the three subsequent offerings of the summer schools in 2010, 2011, and 2013 were dedicated in her honor.
References
1963 births
2008 deaths
Italian mathematicians
Italian women mathematicians
Group theorists
University of Padua alumni
|
https://en.wikipedia.org/wiki/Alberto%20Ocejo
|
Jesús Alberto Ocejo Zazueta (born 16 June 1998) is a Mexican professional footballer who plays as a forward for Liga MX club Santos Laguna.
Career statistics
Club
References
External links
Living people
1998 births
Men's association football forwards
Santos Laguna footballers
C.D.S. Tampico Madero footballers
Ascenso MX players
Liga MX players
Footballers from Sonora
Sportspeople from Hermosillo
21st-century Mexican people
Mexican men's footballers
|
https://en.wikipedia.org/wiki/%C3%89rick%20%C3%81valos
|
Érick Alejandro Ávalos Alejo (born 21 April 2000) is a Mexican professional footballer who plays as a defender for Chihuahua.
Career statistics
Club
Honours
Tigres UANL
CONCACAF Champions League: 2020
References
External links
Living people
2000 births
Men's association football defenders
Tigres UANL footballers
Liga MX players
Liga Premier de México players
Tercera División de México players
Footballers from Nuevo León
Mexican men's footballers
|
https://en.wikipedia.org/wiki/Miguel%20Ren%C3%A9%20Ortega
|
Miguel René Ortega Rodríguez (born 13 April 1995) is a Mexican professional footballer who plays as a goalkeeper for Liga MX club Tigres UANL.
Career statistics
Club
Honours
Tigres UANL
Liga MX: Apertura 2017, Clausura 2019, Clausura 2023
Campeón de Campeones: 2018
Campeones Cup: 2018
CONCACAF Champions League: 2020
References
External links
Living people
2000 births
Men's association football goalkeepers
Tigres UANL footballers
Liga MX players
Footballers from Puebla
Mexican men's footballers
Sportspeople from Puebla (city)
|
https://en.wikipedia.org/wiki/Jonathan%20D%C3%ADaz
|
Jonathan Alejandro Díaz Rivas (born 11 May 1999) is a Mexican professional footballer who plays as a full-back for Liga de Expansión MX team UAT.
Career statistics
Club
References
External links
Living people
1999 births
Men's association football defenders
Santos Laguna footballers
Liga MX players
Footballers from Coahuila
Mexican men's footballers
Sportspeople from Monclova
|
https://en.wikipedia.org/wiki/Prime%20graph
|
In the mathematics of graph theory and finite groups, a prime graph is an undirected graph defined from a group. These graphs were introduced in a 1981 paper by J. S. Williams, credited to unpublished work from 1975 by K. W. Gruenberg and O. Kegel.
Definition
The prime graph of a group has a vertex for each prime number that divides the order (number of elements) of the given group, and an edge connecting each pair of prime numbers and for which there exists a group element with order .
Equivalently, there is an edge from to whenever the given group contains commuting elements of order and of order , or whenever the given group contains a cyclic group of order as one of its subgroups.
Properties
Certain finite simple groups can be recognized by the degrees of the vertices in their prime graphs. The connected components of a prime graph have diameter at most five, and at most three for solvable groups. When a prime graph is a tree, it has at most eight vertices, and at most four for solvable groups.
Related graphs
Variations of prime graphs that replace the existence of a cyclic subgroup of order , in the definition for adjacency in a prime graph, by the existence of a subgroup of another type, have also been studied. Similar results have also been obtained from a related family of graphs, obtained from a finite group through the degrees of its characters rather than through the orders of its elements.
References
Application-specific graphs
Finite groups
|
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