source stringlengths 31 168 | text stringlengths 51 3k |
|---|---|
https://en.wikipedia.org/wiki/1989%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 1989.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
1989 in Japanese football
Japan |
https://en.wikipedia.org/wiki/1990%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 1990.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
1990 in Japanese football
Japan |
https://en.wikipedia.org/wiki/1991%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 1991.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
1991 in Japanese football
Japan |
https://en.wikipedia.org/wiki/1992%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 1992.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
1992 in Japanese football
Japan |
https://en.wikipedia.org/wiki/1993%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 1993.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
1993 in Japanese football
Japan |
https://en.wikipedia.org/wiki/1994%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 1994.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
1994 in Japanese football
Japan |
https://en.wikipedia.org/wiki/1995%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 1995.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
1995 in Japanese football
Japan |
https://en.wikipedia.org/wiki/1996%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 1996.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
1996 in Japanese football
Japan |
https://en.wikipedia.org/wiki/1997%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 1997.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
1997 in Japanese football
Japan |
https://en.wikipedia.org/wiki/1998%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 1998.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
1998 in Japanese football
Japan |
https://en.wikipedia.org/wiki/1999%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 1999.
Results
Players statistics
External links
Japan Football Association
1999 Team
National football team
Japan |
https://en.wikipedia.org/wiki/2000%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 2000.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
2000 in Japanese football
Japan |
https://en.wikipedia.org/wiki/2001%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 2001.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
2001 in Japanese football
Japan |
https://en.wikipedia.org/wiki/2002%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 2002.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
2002 in Japanese football
Japan |
https://en.wikipedia.org/wiki/2003%20Japan%20national%20football%20team | This page records the details of the Japan national football team in 2003.
Results
Players statistics
External links
Japan Football Association
Japan national football team results
2003 in Japanese football
Japan |
https://en.wikipedia.org/wiki/H%E1%BB%93%20T%E1%BA%A5n%20T%C3%A0i | Hồ Tấn Tài (born 6 November 1997) is a Vietnamese professional footballer who plays as a right back for V.League 1 club Công An Hà Nội and the Vietnam national team.
Career statistics
International
International goals
Honours
Becamex Bình Dương
Vietnamese National Cup: 2018
Hanoi Police
V.League 1: 2023
Vietnam U23/Olympic
Southeast Asian Games: 2019
Vietnam
AFF Championship runners-up: 2022
VFF Cup: 2022
References
1997 births
Living people
Vietnamese men's footballers
People from Bình Định province
Men's association football defenders
V.League 1 players
Becamex Binh Duong FC players
2019 AFC Asian Cup players
Competitors at the 2019 SEA Games
SEA Games medalists in football
SEA Games gold medalists for Vietnam |
https://en.wikipedia.org/wiki/Projection%20%28measure%20theory%29 | In measure theory, projection maps often appear when working with product (Cartesian) spaces: The product sigma-algebra of measurable spaces is defined to be the finest such that the projection mappings will be measurable. Sometimes for some reasons product spaces are equipped with -algebra different than the product -algebra. In these cases the projections need not be measurable at all.
The projected set of a measurable set is called analytic set and need not be a measurable set. However, in some cases, either relatively to the product -algebra or relatively to some other -algebra, projected set of measurable set is indeed measurable.
Henri Lebesgue himself, one of the founders of measure theory, was mistaken about that fact. In a paper from 1905 he wrote that the projection of Borel set in the plane onto the real line is again a Borel set. The mathematician Mikhail Yakovlevich Suslin found that error about ten years later, and his following research has led to descriptive set theory. The fundamental mistake of Lebesgue was to think that projection commutes with decreasing intersection, while there are simple counterexamples to that.
Basic examples
For an example of a non-measurable set with measurable projections, consider the space with the -algebra and the space with the -algebra The diagonal set is not measurable relatively to although the both projections are measurable sets.
The common example for a non-measurable set which is a projection of a measurable set, is in Lebesgue -algebra. Let be Lebesgue -algebra of and let be the Lebesgue -algebra of For any bounded not in the set is in since Lebesgue measure is complete and the product set is contained in a set of measure zero.
Still one can see that is not the product -algebra but its completion. As for such example in product -algebra, one can take the space (or any product along a set with cardinality greater than continuum) with the product -algebra where for every In fact, in this case "most" of the projected sets are not measurable, since the cardinality of is whereas the cardinality of the projected sets is There are also examples of Borel sets in the plane which their projection to the real line is not a Borel set, as Suslin showed.
Measurable projection theorem
The following theorem gives a sufficient condition for the projection of measurable sets to be measurable.
Let be a measurable space and let be a polish space where is its Borel -algebra. Then for every set in the product -algebra the projected set onto is a universally measurable set relatively to
An important special case of this theorem is that the projection of any Borel set of onto where is Lebesgue-measurable, even though it is not necessarily a Borel set. In addition, it means that the former example of non-Lebesgue-measurable set of which is a projection of some measurable set of is the only sort of such example.
See also
References
External links
"Measurable projectio |
https://en.wikipedia.org/wiki/Ahmad%20Raheel | Ahmad Raheel Al Dhufairi () is a Kuwaiti football player playing for Al-Arabi SC in the Kuwait Premier League and for the Kuwait national football team playing mainly as a defender.
Career statistics
Club
International
References
Living people
1996 births
Kuwaiti men's footballers
Al-Arabi SC (Kuwait) players
Men's association football forwards
Kuwait men's international footballers
Footballers from Kuwait City
Al-Nasr SC (Kuwait) players
Kuwait Premier League players |
https://en.wikipedia.org/wiki/Peter%20Dunsby | Peter Dunsby (born 12 November 1966) is a full professor of gravitation and cosmology at the Department of Mathematics and Applied Mathematics at the University of Cape Town, South Africa. He was the co-director of the Astrophysics, Cosmology and Gravity Centre at the university until 2016. He also serves on the editorial board of the International Journal of Modern Physics.
Dunsby has published extensively in the fields of cosmology and gravitation, including higher-order theories of gravity and f(R) gravity, and was the founding Director of the South African National Astrophysics and Space Science Programme (NASSP).
In 2006, Dunsby was awarded the silver medal by the Southern African Association for the Advancement of Science for his contributions to theoretical cosmology. The committee called out his research on cosmic microwave background radiation and study of study of Type Ia supernova which increased accuracy of calculation of the Hubble parameter. In 2016 he was presented the award for Human Capacity Development by the National Science and Technology Forum for his work developing postgraduate students and post doctoral researchers.
In October 2017 Dunsby was elected to the College of Fellows of the University of Cape Town.
Dunsby briefly received international attention following a 20 March 2018 report of a "very bright optical transient near the Trifid and Lagoon Nebulae" to the Astronomers Telegram, an internet service for quickly disseminating information about astronomical events. Forty minutes later he posted again, saying that the object in question was "identified as Mars". Dunsby later described the incident to Newsweek as "an honest mistake arising from simply not checking what else was in my camera frame, during an automated astrophotography session and of very little consequence in the scheme of things, but agreed it was rather funny. The world needs to smile more, so that’s something good that has come out of this episode.” The Astronomer's Telegram editors presented Dunsby with a tongue-in-cheek award as discoverer of Mars.
References
External links
South African cosmologists
Academic staff of the University of Cape Town
Living people
1966 births
Place of birth missing (living people) |
https://en.wikipedia.org/wiki/Pl%C3%ADnio%20%28footballer%2C%20born%201984%29 | Plínio Marcos da Silva (born 31 August 1984), simply known as Plínio, is a Brazilian footballer who plays for Uberlândia as a defender.
Career statistics
References
External links
1984 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Sociedade Esportiva Matsubara players
Grêmio Esportivo Juventus players
Esporte Clube Novo Hamburgo players
Clube de Regatas Brasil players
Guarani FC players
América Futebol Clube (RN) players
Agremiação Sportiva Arapiraquense players
Fortaleza Esporte Clube players
Associação Atlética Anapolina players
Associação Atlética Caldense players
Goiânia Esporte Clube players
Clube Náutico Marcílio Dias players
Sampaio Corrêa Futebol Clube players
Botafogo Futebol Clube (PB) players
Botafogo Futebol Clube (SP) players |
https://en.wikipedia.org/wiki/1981%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1981.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1981 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1984%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1984.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1984 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1986%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1986.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1986 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1987%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1987.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1987 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1988%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1988.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1988 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1989%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1989.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1989 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1990%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1990.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1990 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1991%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1991.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1991 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1993%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1993. Nicknamed Nadeshiko Japan the national team won 11 games in 1993.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1993 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1994%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1994.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1994 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1995%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1995.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1995 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1996%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1996.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1996 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1997%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1997.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1997 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1998%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1998.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1998 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/1999%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 1999.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
1999 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2000%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2000.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2000 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2001%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2001.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2001 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2002%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2002.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2002 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2003%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2003.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2003 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2004%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2004.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2004 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2005%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2005.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2005 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2006%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2006.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2006 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2007%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2007.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2007 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2008%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2008.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2008 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2009%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2009.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2009 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2010%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2010.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2010 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2011%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2011.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2011 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2012%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2012.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2012 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2013%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2013.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2013 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2014%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2014.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2014 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2015%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2015.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2015 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2016%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2016.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2016 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2017%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2017.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2017 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/2018%20Japan%20women%27s%20national%20football%20team | This page records the details of the Japan women's national football team in 2018.
Results
Players statistics
External links
Japan Football Association
Japan women's national football team results
2018 in Japanese women's football
Japan |
https://en.wikipedia.org/wiki/Vladimir%20Salo | Vladimir Salo (born 6 February 1974) is a retired Kyrgyzstani international football player who played for the Kyrgyzstan national football team.
Career statistics
International
Statistics accurate as of match played 17 November 2004
Honors
Kant-Oil
Kyrgyzstan League (2): 1994, 1995
Dinamo Bishkek
Kyrgyzstan League (1): 1997
Alga-PVO Bishkek
Kyrgyzstan Cup (1): 1997
SKA-PVO Bishkek
Kyrgyzstan League (1): 2000
Kyrgyzstan Cup (4): 1998, 1999, 2000, 2003
References
Kyrgyzstani men's footballers
Kyrgyzstan men's international footballers
1974 births
Living people
People from Chüy Region
Men's association football defenders
Kyrgyzstani people of Russian descent
FC Volgar Astrakhan players
Soviet men's footballers
Expatriate men's footballers in Russia |
https://en.wikipedia.org/wiki/Valery%20Berezovsky | Valery Yuryevich Berezovsky (; born 23 July 1975) is a retired Kyrgyzstani international football player who played for the Kyrgyzstan national football team.
Career statistics
International
Statistics accurate as of match played 9 May 2008
International goals
Scores and results list Kyrgyzstan's goal tally first.
Honors
Alga Bishkek
Kyrgyzstan League (1): 1992
Kyrgyzstan Cup (1): 1992
Alga-PVO Bishkek
Kyrgyzstan Cup (1): 1997
SKA-PVO Bishkek
Kyrgyzstan League (1): 2000
Kyrgyzstan Cup (3): 1998, 1999, 2000
Dordoi-Dynamo Naryn
Kyrgyzstan League (4): 2004, 2005, 2006, 2007
Kyrgyzstan Cup (3): 2004, 2005, 2006
References
Kyrgyzstani men's footballers
1974 births
Living people
Footballers from Bishkek
Kyrgyzstani people of Russian descent
Men's association football forwards
Kyrgyz Premier League players
Kyrgyzstan men's international footballers
FC Kyzylzhar players
FC Zhetysu players
FC Alga Bishkek players
Kyrgyzstani expatriate sportspeople in Russia
Kyrgyzstani expatriate sportspeople in Kazakhstan
Kyrgyzstani expatriate men's footballers
Expatriate men's footballers in Russia
Expatriate men's footballers in Kazakhstan
Kyrgyzstan women's national football team
Association football managers by women's national team |
https://en.wikipedia.org/wiki/Alan%20B.%20Tayler | Alan Breach Tayler (1931–1995) was a British applied mathematician and pioneer of "industrial mathematics". He was a Founding Fellow of St Catherine's College, Oxford (1959-1995), the initiator of the Oxford Study Groups with Industry in 1968 (which developed into the European Study Groups with Industry), a driving force behind the foundation of the European Consortium for Mathematics in Industry (ECMI) in 1985 and President of ECMI (1989), and the first Director of the Oxford Centre for Industrial and Applied Mathematics (OCIAM) (1989–1994).
Personal life
Alan Tayler was born in Mitcham, Surrey on 5 September 1931 and died in Ducklington, Oxfordshire on 29 January 1995. In 1955 he married June Earp and they had four daughters, one of whom pre-deceased him.
Education
Alan Tayler was a scholar at King's College School, Wimbledon, London. Then we went up to Brasenose College, Oxford in 1951 where he gained a First in Mathematics and then, after a brief period in industry, a DPhil on "Problems in Compressible Flow" under the supervision of Professor George Temple in 1959.
Career
Alan Tayler was a distinguished applied mathematician who made important contributions in a wide range of areas (notably lubrication theory, surface gravity waves and viscous dissipation), but his key contribution to science was as the driving force behind the establishment of what is often called "mathematics-in-industry" or "industrial mathematics" (i.e. the application of mathematical approaches to the modeling and analysis of a wide range of real-world problems) as a recognized scientific discipline in its own right. His philosophy is perfectly exemplified by the Oxford (now European) Study Groups with Industry which he and Professor Leslie Fox created in 1968 and are still going strong today. His approach to mathematical modelling is described in his seminal monograph "Mathematical Models in Applied Mechanics" (Oxford University Press, 1986), and is commemorated by the annual Alan Tayler Lecture held at the St Catherine's College, Oxford in November each year. During his career he supervised the DPhil research of several notable applied mathematicians, including Professor John Ockendon FRS and Professor John King.
In 1959 Alan Tayler became a University Lecturer and Tutorial Fellow at St Catherine's Society, Oxford, and was involved in its transformation into St Catherine's College, Oxford in 1962, where remained for the rest of his career. He was devoted to the College, and held several of its major offices, and also to the Oxford University Rugby Football Club, of which he was President (1990-1995).
Other work
He was on the governing body of Abingdon School from 1964-1983 and was the Vice-chairman of the Governors from 1972-1981.
Awards
In 1982 Alan Tayler was jointly awarded (with Professor Sir James Lighthill, FRS) the Gold Medal of the Institute of Mathematics and its Applications (IMA) for his services to applied mathematics, and in 1993 he was appo |
https://en.wikipedia.org/wiki/Safira%20%28footballer%29 | Alisson Pelegrini Safira (born 17 March 1995), simply known as Alisson Safira or only Safira, is a Brazilian footballer who plays for Vitória S.C. as a forward.
Career statistics
References
External links
1995 births
Living people
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Foz do Iguaçu Futebol Clube players
Londrina Esporte Clube players
Grêmio Esportivo Novorizontino players
B-SAD players
Primeira Liga players
Brazilian expatriate men's footballers
Expatriate men's footballers in Portugal
Brazilian expatriate sportspeople in Portugal |
https://en.wikipedia.org/wiki/List%20of%20ATK%20records%20and%20statistics | ATK (previously known as Atlético de Kolkata) was a professional football club based in Kolkata, West Bengal, which played in the Indian Super League until its merger with Mohun Bagan in 2020 to form ATK Mohun Bagan FC. It was established on 7 May 2014 as the first team in the Indian Super League. Initially for first three seasons Spanish La Liga club Atlético Madrid were also a co-owner, later Sanjiv Goenka bought the shares owned by Atlético Madrid. After the end of their partnership with Spanish giant, Atletico de Kolkata has been rechristened to ATK.
This list encompasses the major honours won by ATK and records set by the players and managers. The player records section includes details of the club's leading goalscorers and those who have made most appearances in first-team competitions. The club is tied for the record for the most Indian Super League titles, two, alongside Chennaiyin FC. The club's record appearance maker is Borja Fernández, who made 47 appearances(2014-2016) and the club's record goalscorer is Iain Hume, who scored 18 goals in 30 appearances(2015-2016).
All stats accurate as of match played 03 April 2018.
Honours
The club holds the most number of Indian Super League titles and were the first team to lift the ISL trophy.
National titles
Indian Super League
Winners(3): 2014, 2016, 2019-20
Players
All current players are in bold
Appearances
Youngest player to play: Komal Thatal – 17 years 132 days (against Jamshedpur FC, ISL, 28 January 2018).
Oldest player to play:Jussi Jääskeläinen – 42 years 226 days (against Jamshedpur FC, ISL, 1 December 2017)
Most consecutive appearances: Pritam Kotal – 30* (25 January 2019 – Present)
Most appearances
Player records
Most goals in a season in all competitions: Roy Krishna – 15 (2019–20)
Most goals in league: Roy Krishna – 15 (2019–20)
Most goals scored in a match: Iain Hume – 3 (2015), Roy Krishna - 3 (2020)
Most goals in a cup match: Balwant Singh - 3 (2019)
Most Hat-tricks: Iain Hume – 2 (2015-2016)
Best goal scoring rate: Robbie Keane – 0.73
Best goal scoring streak: Robbie Keane – 5
Most Assists in one match: Jayesh Rane - 3 (2019, vs Delhi Dynamos)
Most Clean sheets: Arindam Bhattacharya- 13 (2018 - Present)
Overall scorers
Captains
Team records
Biggest Win: 5-0 (vs Hyderabad FC; 25 October 2019)
Biggest Loss: 5-1 (vs FC Goa; 28 February 2018)
Highest attendance: 68,340 (vs Chennaiyin FC; 16 December 2015)
Lowest attendance: 3,165 (vs NorthEast United FC; 4 March 2018)
Fewest defeats in a season: 2 (2016 ISL Season)
Most draws in a season: 9 (2016 ISL Season)
References
ATK |
https://en.wikipedia.org/wiki/Mark%20Lee%20Green | Mark Lee Green (1 October 1947, Minneapolis) is an American mathematician, who does research in commutative algebra, algebraic geometry, Hodge theory, differential geometry, and the theory of several complex variables. He is known for Green's Conjecture on syzygies of canonical curves.
Green received in 1968 his bachelor's degree from MIT and in 1972 his PhD from Princeton University under Phillip Griffiths with thesis Some Picard Theorems for Holomorphic Maps to Algebraic Varieties. In 1970/71 Green was a Procter Fellow in Princeton. He was an instructor from 1972 to 1974 at the University of California, Berkeley and for the academic year 1974/75 at MIT. He became in 1975 an assistant professor and in 1982 a full professor at UCLA. He was a co-founder and the director of the Institute for Pure and Applied Mathematics (IPAM) for 7 years, starting in 2001.
From 1968 to 1972 he was a Woodrow Wilson Fellow and from 1976 to 1980 a Sloan Fellow. In 1998 he was an Invited Speaker with talk Higher Abel-Jacobi Maps at the ICM in Berlin.
He is a member of The Mathematical Sciences 2025 committee of the National Academies of the USA and the committee's vice-chair with the chair Caltech's president Thomas Everhart. He was elected a Fellow of the American Academy of Arts and Sciences in 2010 and a Fellow of the American Mathematical Society in 2012.
Selected publications
Articles
"Holomorphic maps into complex projective space omitting hyperplanes." Transactions of the American Mathematical Society 169 (1972): 89–103.
"Some Picard theorems for holomorphic maps to algebraic varieties." American Journal of Mathematics (1975): 43–75.
"Holomorphic maps to complex tori." American Journal of Mathematics 100, no. 3 (1978): 615–620.
"Secant functions, the Reiss relation and its converse." Transactions of the American Mathematical Society 280, no. 2 (1983): 499–507.
"Infinitesimal methods in Hodge theory." In Algebraic cycles and Hodge theory, pp. 1–92. Springer, Berlin, Heidelberg, 1994.
"Generic initial ideals." In Six lectures on commutative algebra, pp. 119–186. Birkhäuser, Basel, 1998.
Books
with P. Griffiths: On the tangent space to the space of algebraic cycles on a smooth algebraic variety, Princeton University Press 2005.
with P. Griffiths and Matt Kerr: Hodge theory, complex geometry, and representation theory, American Mathematical Society 2013
with P. Griffiths and Matt Kerr: Mumford-Tate groups and domains : their geometry and arithmetic, Princeton University Press 2012
References
Massachusetts Institute of Technology alumni
Princeton University alumni
University of California, Los Angeles faculty
Fellows of the American Academy of Arts and Sciences
Fellows of the American Mathematical Society
1947 births
Living people |
https://en.wikipedia.org/wiki/Rolf%20Schneider | Rolf Georg Schneider (born 17 March 1940, Hagen, Germany) is a mathematician. Schneider is a professor emeritus at the University of Freiburg. His main research interests are convex geometry and stochastic geometry.
Career
Schneider completed his PhD 1967 with Ruth Moufang at Goethe University Frankfurt with a thesis titled (Elliptisch gekrümmte Hyperflächen in der affinen Differentialgeometrie im Großen). In 1969, he got his Habilitation in Bochum. In 1970, he was appointed as a full professor at TU Berlin and in 1974 at the University of Freiburg.
He became a Fellow of the American Mathematical Society in 2014 and received an honorary doctorate of the University of Salzburg in the same year.
Research
Rolf Schneider is known for his solution of Shephard's problem, his books on stochastic and integral geometry, and his comprehensive monography on the Brunn–Minkowski theory.
References
1940 births
Living people
20th-century German mathematicians
21st-century German mathematicians
Fellows of the American Mathematical Society
People from Hagen
Goethe University Frankfurt alumni
Academic staff of the Technical University of Berlin |
https://en.wikipedia.org/wiki/Muhammed%20Rashid | Muhammed Rashid (born November 1, 1993) is an Indian football midfielder who plays for Gokulam Kerala FC in I-League.
Career statistics
Honours
Gokulam Kerala
Durand Cup: 2019
I-League: 2020–21
References
External links
1993 births
Living people
People from Wayanad district
Indian men's footballers
Footballers from Kerala
Men's association football midfielders
Gokulam Kerala FC players
I-League players |
https://en.wikipedia.org/wiki/Gert%20Prix | Gert Prix (* 25. September 1957 in Klagenfurt) is an Austrian musician, mathematics teacher, informatics teacher and engineer as well as the founder and the head of operations at the Eboardmuseum.
Biography
Gert Prix was born in Klagenfurt, where he spent his childhood. His father Helmut was a businessman and inventor, his mother Felicitas was employee. In 1984 Prix married his wife Gerti, who gave birth to two children, Thomas and Denise.
Musical career
Prix started his musical career at the age of 7 at the Carinthian State Conservatorium. When he was 15, he was a founding member of a boy group called “Sir Donald”, who went on to become the band “Three Tight”. In 1980 “Three Tight” won ’s ORF TV show “Die Große Chance” (The Great Chance). For more than 26 years the band kept their original format and performed at the lake Woerthersee with Gert Prix (keys), Heinz Köchl (guitar) and Rolf Holub (drums). Not least because of their entertaining stage show they were known as “the cult band of lake Woerthersee”, who created the legendary Woerthersee sound. They also performed in several Woerthersee-films of the German-Austrian Lisa Film company. In the year 2000 Heinz Köchl went his own separate way and the other two members formed the still existing “Beach Band”, a Beach Boys tribute band.
Eboardmuseum
Since 1973 Gert Prix has been interested in technics and history of electronic musical instruments. In 1987 the Eboardmuseum, which is now considered to be the largest museum for electronic keyboard instruments worldwide, arose out of his rapidly growing collection of vintage instruments.
References
1957 births
Living people
Austrian male musicians
20th-century Austrian musicians
20th-century Austrian male musicians
Musicians from Klagenfurt
20th-century Austrian mathematicians
Austrian educators
20th-century Austrian engineers |
https://en.wikipedia.org/wiki/Christof%20Sch%C3%BCtte | Christof Schütte (born April 10, 1966) is a German mathematician, working in applied and computational mathematics at the Freie Universität Berlin and the Zuse Institute Berlin.
Education and career
Christof Schütte was born in Warburg. He graduated in physics from Paderborn University in 1991 and then obtained his PhD in mathematics under the supervision of Peter Deuflhard in 1994. He is currently a Professor in Numerical Mathematics and Scientific Computing at Freie Universität Berlin, and the president of the Zuse Institute Berlin.
Schütte has been one of the driving forces behind the Research Center “Mathematics for Key Technologies” (MATHEON) former DFG Research Center Matheon and has been its co-chair since 2008. Since 2015, he has acted as the head of the Research Campus MODAL, a public-private partnership between mathematics research institutes and 15 industrial companies, and as the co-chair of the Einstein Center for Mathematics in Berlin.
2021 Schütte has been elected chairman of the board of the NHR association (Verein für Nationales Hochleistungsrechnen e.V. - NHR-Verein).
Research
Schütte's research has focused on the multiscale modelling and simulation for complex systems, numerical mathematics, data-driven modelling and statistical learning with applications in the natural, materials and life sciences. He is co-inventor of the transfer operator approach to metastability that has led to the development of widely used computational methods like Markov state models in molecular dynamics or the (extended) dynamic mode decomposition.
Schütte has been an invited speaker at the International Council for Industrial and Applied Mathematics (ICIAM) in Zurich, 2007, and at the International Congress of Mathematicians (ICM) in Hyderabad, 2010.
Publications
Christof Schütte has published more than 150 articles in scientific journals.
References
External links
Christof Schuette home page
Max Planck Institute for Molecular Genetics information
Newspaper "Der Tagesspiegel - The Synergy between Computational Science and Data Science"
Excellence Cluster TOPOI information
1966 births
Living people
Paderborn University alumni
20th-century German mathematicians
21st-century German mathematicians
Applied mathematicians
Academic staff of the Free University of Berlin |
https://en.wikipedia.org/wiki/Group%20functor | In mathematics, a group functor is a group-valued functor on the category of commutative rings. Although it is typically viewed as a generalization of a group scheme, the notion itself involves no scheme theory. Because of this feature, some authors, notably Waterhouse and Milne (who followed Waterhouse), develop the theory of group schemes based on the notion of group functor instead of scheme theory.
A formal group is usually defined as a particular kind of a group functor.
Group functor as a generalization of a group scheme
A scheme may be thought of as a contravariant functor from the category of S-schemes to the category of sets satisfying the gluing axiom; the perspective known as the functor of points. Under this perspective, a group scheme is a contravariant functor from to the category of groups that is a Zariski sheaf (i.e., satisfying the gluing axiom for the Zariski topology).
For example, if Γ is a finite group, then consider the functor that sends Spec(R) to the set of locally constant functions on it. For example, the group scheme
can be described as the functor
If we take a ring, for example, , then
Group sheaf
It is useful to consider a group functor that respects a topology (if any) of the underlying category; namely, one that is a sheaf and a group functor that is a sheaf is called a group sheaf. The notion appears in particular in the discussion of a torsor (where a choice of topology is an important matter).
For example, a p-divisible group is an example of a fppf group sheaf (a group sheaf with respect to the fppf topology).
See also
automorphism group functor
Notes
References
Algebraic geometry |
https://en.wikipedia.org/wiki/1993%E2%80%9394%20Saudi%20First%20Division | Statistics of the 1993–94 Saudi First Division.
External links
Saudi Arabia Football Federation
Saudi League Statistics
Al Jazirah 4 April 1994 issue 8758
Saudi First Division League seasons
Saudi Professional League
2 |
https://en.wikipedia.org/wiki/Multi-homogeneous%20B%C3%A9zout%20theorem | In algebra and algebraic geometry, the multi-homogeneous Bézout theorem is a generalization to multi-homogeneous polynomials of Bézout's theorem, which counts the number of isolated common zeros of a set of homogeneous polynomials. This generalization is due to Igor Shafarevich.
Motivation
Given a polynomial equation or a system of polynomial equations it is often useful to compute or to bound the number of solutions without computing explicitly the solutions.
In the case of a single equation, this problem is solved by the fundamental theorem of algebra, which asserts that the number of complex solutions is bounded by the degree of the polynomial, with equality, if the solutions are counted with their multiplicities.
In the case of a system of polynomial equations in unknowns, the problem is solved by Bézout's theorem, which asserts that, if the number of complex solutions is finite, their number is bounded by the product of the degrees of the polynomials. Moreover, if the number of solutions at infinity is also finite, then the product of the degrees equals the number of solutions counted with multiplicities and including the solutions at infinity.
However, it is rather common that the number of solutions at infinity is infinite. In this case, the product of the degrees of the polynomials may be much larger than the number of roots, and better bounds are useful.
Multi-homogeneous Bézout theorem provides such a better root when the unknowns may be split into several subsets such that the degree of each polynomial in each subset is lower than the total degree of the polynomial. For example, let be polynomials of degree two which are of degree one in indeterminate and also of degree one in (that is the polynomials are bilinear. In this case, Bézout's theorem bounds the number of solutions by
while the multi-homogeneous Bézout theorem gives the bound (using Stirling's approximation)
Statement
A multi-homogeneous polynomial is a polynomial that is homogeneous with respect to several sets of variables.
More precisely, consider positive integers , and, for , the indeterminates A polynomial in all these indeterminates is multi-homogeneous of multi-degree if it is homogeneous of degree in
A multi-projective variety is a projective subvariety of the product of projective spaces
where denote the projective space of dimension . A multi-projective variety may be defined as the set of the common nontrivial zeros of an ideal of multi-homogeneous polynomials, where "nontrivial" means that are not simultaneously 0, for each .
Bézout's theorem asserts that homogeneous polynomials of degree in indeterminates define either an algebraic set of positive dimension, or a zero-dimensional algebraic set consisting of points counted with their multiplicities.
For stating the generalization of Bézout's theorem, it is convenient to introduce new indeterminates and to represent the multi-degree by the linear form In the following, "multi |
https://en.wikipedia.org/wiki/High-energy%20replicated%20optics | High-energy replicated optics (HERO) is a high-altitude balloon-borne x-ray telescope based at the Marshall Space Flight Center. Its mirrors are conical approximations to Wolter type 1 geometry. The proving flight, at least, used a high-pressure gas scintillation proportional counter with relatively low spatial resolution.
See also
High energy X-ray imaging technology
X-ray astronomy
References
External links
High energy replicated optics to explore the Sun: Hard x-ray balloon-borne telescope (2013)
X-ray telescopes
Balloon-borne telescopes
Marshall Space Flight Center |
https://en.wikipedia.org/wiki/Henry%20Farquharson | Henry Farquharson (1675 – 19 December 1739) was a teacher who pioneered the study of mathematics in Russia. He was recruited by Peter the Great, who sought to introduce Western ideas and technology into Russia. He moved to Moscow where he established a school and later established a naval academy in Saint Petersburg. Farquharson had a profound effect on the intellectual life of Russia, not only by introducing mathematical ideas but by helping to create the first generation of explorers, surveyors, cartographers and astronomers.
Early life
Henry Farquharson was born around 1675 at Milton, Whitehouse in West Aberdeenshire, the son of John Farquharson. From 1691 he studied as Milne bursar at Marischal College in Aberdeen and by 1695 he was Liddel mathematical tutor there. In April 1698 he was introduced to the tsar of Russia, Peter the Great, probably by the Marquess of Carmarthen. The tsar was at this time on a tour of Europe to learn from Western ideas and technology. In particular he was interested in creating a modern Russian navy. Peter the Great recruited Farquharson for a new mathematics and navigation school that he planned to found in Moscow.
Moscow
Farquharson sailed on the Royal Transport with Stephen Gwyn (d.1720) and Richard Grice (d.1709) and they arrived in Archangel by June 1698. After their arrival in Moscow they lived in the house of an English merchant Henry Crevett and tutored a few paying students whilst they waited for the tsar to follow through with his promises of patronage.
By January 1701 a government decree had established the Mathematics and Navigation School. By June the school moved to the Sukharev Tower, a repurposed city gate and a Moscow landmark until its demolition in the 1930s. The school taught arithmetic, trigonometry, navigation, astronomy and surveying. Within a few years there were 500 pupils at the school, and by 1715 1200 specialists are thought to have graduated from the school. The school also held music and amateur stage performances on holidays and Sundays. At first Farquharson lectured in Latin until he learned Russian. He belonged to the quasi-masonic Neptune Society which met in the Sukharev Tower and was headed by the tsar himself. The tsar was fascinated with astronomy and would correspond with Farquharson about eclipses, as well as supplying him with as many instruments and book as he requested. In addition to teaching, Farquharson also performed practical duties. He proposed a direct road from Moscow to the new city of Saint Petersburg via Novgorod and led the surveying work himself.
St Petersburg
In 1715 Peter the Great founded the St Petersburg Naval Academy at Kilkin's House, on the site where the Winter Palace now stands. Farquharson was appointed senior professor of mathematics and although the academy had a president and director, he was in de facto charge of the institute. He created a broad curriculum including not only mathematics and navigation but drawing, fencing, artillery and |
https://en.wikipedia.org/wiki/1994%E2%80%9395%20Saudi%20First%20Division | Statistics of the 1994–95 Saudi First Division.
External links
Saudi Arabia Football Federation
Saudi League Statistics
Al Jazirah 2 Apr 1995 issue 8211
Saudi First Division League seasons
Saudi Professional League
2 |
https://en.wikipedia.org/wiki/Ofer%20Zeitouni | Ofer Zeitouni (עפר זיתוני, born 23 October 1960, Haifa) is an Israeli mathematician, specializing in probability theory.
Biography
Zeitouni received his bachelor's degree in electrical engineering in 1980 from the Technion.
He obtained in 1986 his doctorate in electrical engineering under the supervision of
Moshe Zakai with the thesis Bounds on the Conditional Density and Maximum a posteriori Estimators for the Nonlinear Filtering Problem. As a postdoc he was a visiting assistant professor at Brown University and at the Laboratory for Information and Decision Systems at MIT. He joined the Technion in 1989 as senior lecturer, and was promoted in 1991 to associate professor, and in 1997 to full professor in the department of electrical engineering. He is now a professor of Mathematics at the Weizmann Institute and at the Courant Institute, and was from 2002 to 2013 a part-time professor at the University of Minnesota.
His research deals with stochastic processes and filtering theory with applications to control theory (electrical engineering), the spectral theory of random matrices, the theory of large deviations in probability theory, motion in random media,
and extremes of logarithmically correlated fields.
He was Invited Speaker with the talk Random Walks in Random Environments at the ICM in Beijing in 2002. Zeitouni is a Fellow of the American Mathematical Society, member
of the American Academy of Arts and Sciences, the
National Academy of Sciences, and the Israel Academy of Sciences and Humanities.
He is married and has two children.
Selected publications
Articles
with Ildar Abdulovich Ibragimov:
with Amir Dembo, Yuval Peres, and Jay Rosen:
with Amir Dembo, Bjorn Poonen, and Qi-Man Shao:
with Amir Dembo, Yuval Peres, and Jay Rosen:
Books
with Greg W. Anderson and Alice Guionnet: Introduction to Random Matrices, Cambridge University Press 2010
with Amir Dembo: Large Deviations Techniques and Applications, Springer 1998,
Sources
Zhan Shi: Problèmes de recouvrement et points exceptionnels pour la marche aléatoire et le mouvement brownien, d’après Dembo, Peres, Rosen, Zeitouni, Seminaire Bourbaki, No. 951, 2005
References
External links
Ofer Zeitouni's home page, Weizmann Institute
Ofer Zeitouni, What happens when a person strolling along an intersecting path chooses directions with a roll of the dice?, Weizmann Institute
1960 births
Living people
Israeli mathematicians
Technion – Israel Institute of Technology alumni
Academic staff of Technion – Israel Institute of Technology
Fellows of the American Mathematical Society
Fellows of the American Academy of Arts and Sciences
Members of the United States National Academy of Sciences
Annals of Probability editors |
https://en.wikipedia.org/wiki/Jean%20Bertoin | Jean Bertoin (born 1961) is a French mathematician, specializing in probability theory and professor at the University of Zurich.
Education and career
Bertoin received in 1987 his doctorate from University of Paris VI under Marc Yor with Étude des processus de Dirichlet. Bertoin taught and did research there and is now a professor at the University of Zurich.
In 1996 he received the Rollo Davidson Prize. In 2002 he was an Invited Speaker with talk Some aspects of additive coalescents at the International Congress of Mathematicians in Beijing. In 2012 he was an Invited Speaker with talk Coagulation with limited aggregations at the European Congress of Mathematicians in Kraków. He is a corresponding member of the Mexican Academy of Sciences.
His research deals with Lévy processes, Brownian motion, branching processes, random fragmentation, and coalescence processes.
His doctoral students include Grégory Miermont.
Selected publications
Lévy processes, Cambridge University Press 1996.
Random fragmentation and coagulation processes, Cambridge University Press 2006.
Subordinators: Examples and Applications, in: Jean Bertoin, Fabio Martinelli, Yuval Peres, Lectures on Probability Theory and Statistics, Ecole d’Eté de Probailités de Saint-Flour XXVII - 1997, Lectures Notes in Mathematics 1717, Springer 1999, pp. 1–91.
with Jean-François Le Gall: "The Bolthausen–Sznitman coalescent and the genealogy of continuous-state branching processes." Probability theory and related fields 117, no. 2 (2000): 249–266.
with Marc Yor: "Exponential functionals of Lévy processes." Probability Surveys 2 (2005): 191–212.
References
External links
Prof. Dr. Jean Bertoin, Universität Zürich
Bertoin, Jean — Idref
20th-century French mathematicians
21st-century French mathematicians
University of Paris alumni
Academic staff of the University of Paris
Academic staff of the University of Zurich
1961 births
Living people
Probability Theory and Related Fields editors |
https://en.wikipedia.org/wiki/1995%E2%80%9396%20Saudi%20First%20Division | Statistics of the 1995–96 Saudi First Division.
Relegation play-offs
Al-Ansar, who finished 2nd, faced Hajer, who finished 3rd for a two-legged play-off.
First leg
External links
Saudi Arabia Football Federation
Saudi League Statistics
Saudi First Division League seasons
Saudi Professional League
2 |
https://en.wikipedia.org/wiki/Philippines%20national%20football%20team%20records%20and%20statistics | The lists shown below shows the Philippines national football team records in competitive and non-competitive tournaments, as well as individual and team records, and their head-to-head record against all opponents.
Individual records
Player records
Players in bold are still active.
Most capped players
Top goalscorers
Manager records
Team records
Competition records
FIFA World Cup
The Philippines has never qualified for the FIFA World Cup. The national team entered the 1950 FIFA World Cup qualification but withdrew without playing a single game. The Philippines had intended to enter the 1962 edition but did not push through with the plan. The country's entry to the 1966 edition was not accepted due to its association not being able to pay the registration fee for the qualifiers and the national team withdrew from the 1974 FIFA World Cup qualification just as they did in the 1950 qualifiers. The national team made its first participation in a FIFA World Cup qualifiers for the 1998 edition.
At the 2002 FIFA World Cup qualifiers, Yanti Barsales made the first goal for the Philippines at a FIFA World Cup qualifier against Syria.
The national team did not enter the qualifiers for the next succeeding editions until the 2014 FIFA World Cup qualifiers, about 10 years later. The national team secured their first victory in a World Cup qualifier against Sri Lanka, 4–0.
Olympic Games
The senior national team never managed to qualify for the Olympics.
Since 1992, the Olympic team has been drawn from a squad with a maximum of three players over 23 years of age, and the achievements of this team are not generally regarded as part of the national team's records, nor are the statistics credited to the players' international records.
AFC Asian Cup
The Philippines qualified once for the Asian Cup, in 2019. For the 2011 and the 2015 AFC Asian Cup, the Philippines attempted to qualify for the tournament through the AFC Challenge Cup. The Philippines would have been invited to host the 1968 Asian Cup, a tournament in which it did not qualify for, if Iran withdrew as hosts.
After the inception of the AFC Challenge Cup, new changes in AFC Competition rules were made. Countries categorized as "emerging nations" which include the Philippines, do not enter Asian Cup qualification starting with the 2011 edition. Therefore, failure to qualify and failure to win the Challenge Cup automatically results in failure to qualify for the Asian Cup.
Asian Games
The senior national team made its best finish at the 1958 Asian Games where it reached the Quarterfinals of the tournament. The Philippines also has hosted the 1954 edition.
Only until the 1998 edition is listed; football at the Asian Games changed to an under-23 tournament since the 2002 edition.
AFC Challenge Cup
The AFC Challenge Cup was organized as a route for nations classified as "emerging" or "developing" as a sole route to qualify for the Asian Cup. The Philippines is among these nations
and |
https://en.wikipedia.org/wiki/Jonathan%20Marchini | Jonathan Laurence Marchini (born 19 May 1973) is a Bayesian statistician and professor of statistical genomics in the Department of Statistics at the University of Oxford, a tutorial fellow in statistics at Somerville College, Oxford and a co-founder and director of Gensci Ltd. He co-leads the Haplotype Reference Consortium.
Education
He obtained a Bachelor of Science degree in Pure Mathematics and Mathematical Statistics from Exeter University from 1991-94. He then obtained a PGCE in Mathematics Education from the West Sussex Institute of Higher Education from 1994-5. He completed his DPhil in the Department of Statistics at the University of Oxford supervised by Professor Brian Ripley from 1998-2002.
Career and research
Marchini spent three years working as a VSO volunteer teaching A-level Mathematics at Tosamaganga Secondary school, near Iringa, Tanzania, between September 1995 and September 1998.
From 2002 to 2005 he held a Wellcome Trust Training Fellowship in Mathematical Biology, under the supervision of Prof Lon Cardon and Prof Peter Donnelly.
In 2006 he was appointed as a university lecturer (associate professor) in statistical genomics in the Department of Statistics at the University of Oxford and a senior research fellow at Mansfield College. In 2007 he became an affiliated group leader at the Wellcome Trust Center of Human Genetics at the University of Oxford. In 2010 he was re-appointed until retirement
In 2015 he was promoted to professor of statistical genomics
Marchini's research focusses on statistical genetics and population genetics, with a particular emphasis on methods development for genome-wide association studies. He has worked on haplotype estimation, genotype imputation, genotype calling from arrays and sequencing, sparse tensor decomposition for RNA-seq datasets, population structure, phenotype prediction and mixed models, gene-gene interactions and brain imaging genetics.
He was a member of the analysis team for the International HapMap Project, the Wellcome Trust Case-Control Consortium, the 1000 Genomes Project and the UK10K Project. His research group was responsible for the haplotype estimation and genotype imputation for the UK Biobank dataset. He co-leads the Haplotype Reference Consortium.
He has been an ISI Highly Cited Researcher from 2014-2018
He has acted as an expert witness in a patent trial
Awards
In 2012 he was awarded a Philip Leverhulme Prize for "leading the way by constructing powerful and ingenious novel statistical methodology for population and medical genetics, together with associated fast
computational algorithms and software."
References
External links
1977 births
Living people
Alumni of the University of Oxford
Fellows of Somerville College, Oxford
British statisticians
Alumni of the University of Exeter
Biostatisticians |
https://en.wikipedia.org/wiki/Calexico%20High%20School | Calexico High School is a public high school located in Calexico, California.
Statistics
Demographics
2020-2021 Enrollment by Ethnicity:
Notable alumni
Kiki Camarena - DEA Agent
References
Public high schools in California
High schools in Imperial County, California |
https://en.wikipedia.org/wiki/Akashdeep%20Singh%20Kahlon | Akashdeep Singh Kahlon (born 26 July 1993) is an Indian professional footballer who plays as a defender for Namdhari in the I-League.
Career statistics
Club
References
1993 births
Living people
Indian men's footballers
I-League players
Punjab FC players
Indian Arrows players
Men's association football defenders
Sportspeople from Gurdaspur district
Footballers from Punjab, India
Sudeva Delhi FC players
I-League 2nd Division players
Rajasthan United FC players |
https://en.wikipedia.org/wiki/Padali%20ninam | {
"type": "FeatureCollection",
"features": [
{
"type": "Feature",
"properties": {},
"geometry": {
"type": "Point",
"coordinates": [
74.015694,
17.582394
]
}
}
]
}
Tirthkshetra Padali, Satara is a village located in the Satara (Tehsil & District) of Maharashtra state of India. Tirthkshetra Padali village is surrounded by Urmodi river. The village is near the historic Ajinkyatara fort, which is situated on the north side of Tirthkshetra Padali. Jotiba is a popular deity in the Padali, and the Jotiba festival is a major annual celebration that takes place in honor of this deity. Also The festival is celebrated in various parts of Maharashtra, including the cities of Kolhapur and Satara.
The Jotiba festival typically takes place in the month of Chaitra (March/April), and it is a multi-day celebration that includes various rituals and cultural events. The festival is marked by processions of devotees who carry the idol of Jotiba on a palanquin, accompanied by music and dancing. The procession typically makes its way to the Jotiba temple, where the deity is offered prayers and offerings.
During the festival, devotees also perform various rituals and offerings, such as offering coconuts, lighting incense, and singing devotional songs. The festival is a time of great joy and celebration, and it is an important part of the cultural heritage of Maharashtra.
Festival (YATRA)
Tirthkshetra Padali yatra fall in Month of April on Sankashti Chaturthi mostly 3-4 day after Jyotirlinga chaitra yatra Kolhapur.
As per tradition, every Sasan Kathi is ranked from 1 to 108 and out of 108, nearly 40 - 50 Sasan Kathi's are arrived in Jyotiba temple for Chaitra Yatra in Wadi Ratnagiri. The first rank of the Sasan Kathi has been given to Tirthkshetra Padali village.
Sasan Kathi's are the biggest attraction of the Yatra. On the day of yatra, when all sasan kathi's arrived at the temple, proper invitation awarded to Tirthkshetra Padali village via Bhaldar from Paschim Maharashtra Devasthan Samiti (PMDS).
Education
Primary School
ZILLA PARISHAD MARATHI SCHOOL
High School
ENGLISH SCHOOL AND TANAJI BANDU DHANE JUNIOR COLLEGE OF ARTS PADALI NINAM
Sports
Cricket
Divyashakti Cricket club Padali
Speed Cricket Club, Padali
Nearest Tourism
Ajinkyatara
Kas Plateau Reserved Forest
Mahabaleshwar
Sajjangad
Pratapgad
Villages in Satara district |
https://en.wikipedia.org/wiki/List%20of%20Debreceni%20VSC%20records%20and%20statistics | Debreceni VSC is a professional football club, based in Debrecen, Hungary.
Manager
Managerial statistics
As of 26 July 2017
Player
Most appearances
Top scorers
Zilahi prize
2000: Zsolt Vadicska
2001: Csaba Sándor
2002: Zoltán Böőr
2003: Tibor Dombi
2004: Tamás Sándor
2005: Péter Halmosi
2006: Tamás Sándor
2007: Ibrahima Sidibe
2008: Zsombor Kerekes
2009: Gergely Rudolf
2010: Péter Czvitkovics
2011: András Herczeg
2012: József Varga
2013: Adamo Coulibaly
2014: Nenad Novaković
2015: József Varga
2016: Norbert Mészáros
2017: Dusan Brkovic
Record departures
Record arrivals
References
External links
Debreceni VSC
Hungarian football club statistics |
https://en.wikipedia.org/wiki/1996%E2%80%9397%20Saudi%20First%20Division | Statistics of the 1996–97 Saudi First Division.
External links
Saudi Arabia Football Federation
Saudi League Statistics
Saudi First Division League seasons
Saudi Professional League
2 |
https://en.wikipedia.org/wiki/College%20of%20Statistical%20and%20Actuarial%20Sciences | College of Statistical and Actuarial Sciences is a constituent college of the University of the Punjab in Lahore.
History
The subject of Statistics was introduced in 1941 in the University. The college was established as the Department of Statistics in 1950 by Dr. M. Zia ud Din. The department was raised to the status of an Institute in 1952 and renamed to its current name in 2007.
References
University of the Punjab
1950 establishments in Pakistan
Universities and colleges in Lahore |
https://en.wikipedia.org/wiki/Chen%20Mingyuan | Chen Mingyuan (, born January 5, 1941, Shanghai, China) is a Chinese scholar who works in various disciplines such as linguistics, mathematics, informatics, computer sciences, and modern poetry. On April 23, 1989, Chen gave a speech at Peking University, expressing his support for the student movements and criticisms of the government. This speech was considered a trigger for the later escalation of the 1989 Tiananmen Square protests and massacre.
Early life
Chen was born on January 5, 1941, in Shanghai. Chen graduated from Shanghai Middle School in 1958, and then earned his mathematics degree at ShanghaiTech University in 1963. Chen also formed a cross-age friendship in his adolescence with the prominent scholar and poet, Guo Moruo because of their shared interests in poetry writing. Later, he studied Chinese linguistics at Peking University. In 1978, he was assigned a position at the Institute of Acoustics, Chinese Academy of Sciences (Zhongguo kexueyuan shengxue yanjiusuo) as an associate researcher. In 1982, Chen became a professor in the department of linguistics in Beijing Language and Culture College (currently Beijing Language and Culture University). His book The Economic Life of Liberators (Heyi weisheng: Wenhuamingren de jingji beijing ) was considered the best published work on the economic status of such prominent scholars such as Lu Xun, Kang Youwei, and Cai Yuanpei.
Chen was accused of being a counterrevolutionary activist during the Cultural Revolution because his poetry style was similar to that of Mao Zedong. Chen then wrote a letter to the government explaining himself, and Zhou Enlai and Zhu De both agreed that charge could be dismissed if Mao was willing to be lenient. However, Mao refused to comment. Thus, Chen was imprisoned twice during the Cultural Revolution. He was released after the death of Mao. The government officially rehabilitated Chen in 1978.
During the protests
Chen openly supported the student protests in 1989. When students became hesitant to continue their protests after mourning the death of Hu Yaobang, Chen encouraged them not to give up, but to continue their actions. On April 23, 1989, Chen gave an emotional speech at the Triangle in Peking University to the students.
In his speech, Chen stated that intellectuals and students must not stay silent but speak out. First of all, Chen criticized the official mouthpieces such as China Central Television (CCTV) which falsely labelled the student protests as being anti-government in nature. Chen argued that the demonstration, petition, and the mourning for Hu Yaobang were spontaneous actions and there were no "black hands" behind them. Thus, Chen described CCTV as the shameless mouthpiece of the government, who had lost their consciences and had lied to the public for decades. Furthermore, Chen argued that social problems such as inflation, profiteering businesses, insufficient educational funds, and wealth polarization were caused by the immoral and |
https://en.wikipedia.org/wiki/Extensive%20category | In mathematics, an extensive category is a category C with finite coproducts that are disjoint and well-behaved with respect to pullbacks. Equivalently, C is extensive if the coproduct functor from the product of the slice categories C/X × C/Y to the slice category C/(X + Y) is an equivalence of categories for all objects X and Y of C.
Examples
The categories Set and Top of sets and topological spaces, respectively, are extensive categories. More generally, the category of presheaves on any small category is extensive.
The category CRingop of affine schemes is extensive.
References
External links
Category theory |
https://en.wikipedia.org/wiki/Denair%20High%20School | Denair High School is a public high school located in Denair, California founded in 1912.
Statistics
The school has an enrollment of 276 children enrolled in grades 9 to 12. 8.3% of all students are English language learners and 57.6% of students receive free or reduced lunch.
Demographics
2016-17
References
Educational institutions established in 1912
Public high schools in California
High schools in Stanislaus County, California
1912 establishments in California |
https://en.wikipedia.org/wiki/Le%20Grand%20High%20School | Le Grand High School is a public high school located in Le Grand, California.
Statistics
In the 2016–17 school year, the school had a total of 463 students.
References
Educational institutions established in 1909
Public high schools in California
High schools in Merced County, California
1909 establishments in California |
https://en.wikipedia.org/wiki/Anupam%20Saikia | Anupam Saikia is an Indian mathematician and at present professor in the Department of Mathematics at IIT Guwahati, India. He is known for his work related to arithmetic number theory, in particular applications to Iwasawa Theory and p-adic measures. He has also published articles in mathematical cryptography.
Biography
Saikia qualified his school leaving examinations from Govt. Higher Secondary School, Golaghat, Assam, in 1989. Then, he did his pre-university studies at Cotton College, Guwahati until 1991 and joined St. Stephen's College, Delhi for his Bachelors in Mathematics. After his B.Sc. degree in 1994, he joined Trinity College, Cambridge and became a wrangler in 1996. He completed his Certificate for Advanced Study in Mathematics (Mathematical Tripos, Part III) at Trinity College in 1997 with distinction, and then pursued his PhD degree from the Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, which he received in 2001 for a thesis titled Iwasawa Theory of Lubin-Tate Division Towers and p-Adic L-Functions under the supervision of John Coates.
Since his PhD, Saikia has held post doctoral positions at several institutes, including IHES, France and McGill University, Canada. Following a brief period of time at IIT, Bombay, Saikia has been a member of the faculty at IIT, Guwahati since 2005, becoming full professor in 2015. At various times, he has held several administrative positions in IIT, Guwahati as well.
Saikia is also a keen sportsperson and was captain of the Trinity College Badminton team in 1999-99, as well as member of its cricket team. He is also an enthusiastic chess and carom player. He lives in Guwahati with his wife and children.
Awards and honors
Saikia has won several awards and scholarships during his career. He won the Ramanujan Scholarship to pursue his studies at Cambridge, given to one Indian student each year. He was awarded the Smith and Knight Prize in the annual mathematics essay competition for second year Ph.D. students at the University of Cambridge in 1999 and the Senior Rouseball Scholarship, awarded by Trinity College, Cambridge on the basis of postgraduate research work in 2000-2001.
Professional Contributions
Saikia has written several research papers so far related to Iwasawa Theory, p-adic measures, Cyclotomic fields and Euler Systems. He has so far guided 6 students under him for their Ph.D dissertation. He is also associated with giving several popular lectures for school and college students in different places of Assam as well as in other parts of the country. He has also edited two volumes of conference proceedings related to Wiles' Proof of the Iwasawa's Main Conjecture and Bloch-Kato Conjectures.
He is the editor-in-chief of Journal of the Assam Academy of Mathematics and a member of the editorial boards of the Journal of the Ramanujan Mathematical Society and the Bulletin of the Mathematics Teachers' Association (India).
References
External links |
https://en.wikipedia.org/wiki/2013%20Urawa%20Red%20Diamonds%20season | 2013 Urawa Red Diamonds season.
Final Table
Squad
Results
J1 League
Emperors Cup
J-League Cup
Statistics
Overview
Goalscorers
League position by matchday
Appearances and goals
Transfers
In
Out
References
External links
J.League official site
Urawa Red Diamonds seasons |
https://en.wikipedia.org/wiki/2018%E2%80%9319%20Scottish%20Professional%20Football%20League | Statistics of the Scottish Professional Football League (SPFL) in season 2018–19.
Scottish Premiership
Scottish Championship
Scottish League One
Scottish League Two
Award winners
Yearly
Tarton Boot winner: Kevin Nisbet and Blair Henderson (shared as joint-highest goalscorers in the SPFL)
The Tartan Ball was awarded to highest scorer in each division of the SPFL.
Monthly
See also
2018–19 in Scottish football
References
Scottish Professional Football League seasons |
https://en.wikipedia.org/wiki/Chowchilla%20Union%20High%20School | Chowchilla Union High School is a public high school located in Chowchilla, California. It is within the Chowchilla Union High School District.
Statistics
Demographics
In the 2016–2017 school year, the high school had a total of 1,051 students enrolled.
Notable alumni
Morris Owens, former NFL wide receiver for the Miami Dolphins and the Tampa Bay Buccaneers
References
External links
Chowchilla Union High School District
Public high schools in California
High schools in Madera County, California |
https://en.wikipedia.org/wiki/1997%E2%80%9398%20Saudi%20First%20Division | Statistics of the 1997–98 Saudi First Division.
Play-off
The play-off was played over a single leg at a neutral venue.
0–0 on aggregate. Najran won 4–3 on penalties.
External links
Saudi Arabia First Division on rsssf.com
Saudi Arabia Football Federation
Saudi League Statistics
Saudi First Division League seasons
Saudi Professional League
2 |
https://en.wikipedia.org/wiki/Civil%20registration%20and%20vital%20statistics | CRVS Systems stands for Civil Registration and Vital Statistics Systems and represents the interoperability of three separate systems: Civil Registration, Health Information, and Vital Statistics.
The United Nations (UN) defines Civil Registration as: “The continuous, permanent, compulsory, and universal recording of the occurrence and characteristics of vital events (live births, deaths, fetal deaths, marriages, and divorces) and other civil status events pertaining to the population as provided by decree, law or regulation, in accordance with the legal requirements in each country.”
The primary purpose of Civil Registration is to establish the legal documents required by law. Civil Registration establishes the individual’s right to recognition as a person before the law and is the fundamental source of legally valid identity data used across government services.
Universal birth registration is enshrined in international human rights through the UN Convention on the Rights of the Child (Article 7).
Civil Registration is a driver for accessing fundamental rights. Besides establishing a person’s legal identity from birth, such as name and date of birth, it also establishes legal family relations.
Civil Registration also enables states to fulfill the obligations they have contracted when ratifying human rights instruments that specifically guarantee such rights. For example, in the absence of exercising the right to legally identity through birth registration, other rights such as the right to education, health, and social protection might be significantly hampered, particularly for women and girls.
Health Information Systems capture, store, manage, or transmit information related to the health of individuals or the activities of organizations that work within the health sector.
The UN defines Vital Statistics as: “The collection of statistics on vital events in a lifetime of a person as well as relevant characteristics of the events themselves and of the person and persons concerned. Vital Statistics provide crucial and critical information on the population in a country.” The vital events of interest are: live births, adoptions, legitimations, recognitions; deaths and fetal deaths; and marriages, divorces, separations, and annulments of marriage.
The functioning of the three systems depend on a series of common elements that include, but are not limited to: training, assessments and evaluations, identity management, data security and privacy, information and communications technology, etc.
Why CRVS systems matter
High-quality, permanent and continuous Civil Registration/Vital Statistics (CR/VS) systems provide many benefits to individuals, nations, regions and communities:
For the individual, birth registration is needed to obtain a legal document that proves their identity, their name, sex, legal parents' names, and date and place of birth. That document may be necessary to vote, marry or secure employment. In some countries, it may |
https://en.wikipedia.org/wiki/Fran%C3%A7ois%20Lalonde | François Lalonde (born 17 September 1955 in Montréal) is a Canadian mathematician, specializing in symplectic geometry and symplectic topology.
Lalonde received from the Université de Montréal in 1976, at the age of 20, his bachelor's degree (called licence in France) in physics and, after a year to complete the bachelor in mathematics in 1977, he received in 1979 his master's degree in logic and theoretical computer science (complexity theory and NP-completeness). In 1985 he received his doctorate (Doctorat d'Etat) in mathematics from the Université de Paris-Saclay in Orsay becoming one of the rare candidates obtaining the Doctorat d'Etat before the age of thirty. He then was an NSERC (Natural Sciences and Engineering Research Council of Canada) University Research Fellow at Université du Québec à Montréal where he became, six years later, full professor in 1991 until 2000. He is professor at the Université de Montréal since 2000, holding from 2001 to 2022 the Canada Research Chair (CRC) in differential geometry and topology when the CRC program was first set up by the Prime Minister of Canada.
He has held invited positions at many institutions, including the IHES (1983–1985), Harvard University (1989–1990), the Université de Strasbourg (1990), the University of Tel Aviv (1997 and 1999), the École Polytechnique (2001-2002), Stanford University (2005 and 2022), the École Normale Supérieure de Lyon (2008), and the Université d'Aix-Marseille (2015).
With Octav Cornea he developed a new homology (cluster homology), leading to a new universal Floer homology for pairs of Lagrangian submanifolds of a symplectic manifold. He has also collaborated with Dusa McDuff and Leonid Polterovich.
He became Fellow of the Royal Society of Canada in 1997 at the age of 41, Fellow of the Fields Institute in 2001 when this distinction was introduced. From 2000 to 2002 he was a Killam Fellow, a private-public foundation in arts and sciences that enables Canadian researchers to devote most of their time to their works.
From 2004 to 2008 and from 2011 to 2013 he was the director of the Centre de Recherches Mathématiques (CRM), the premier scientific institute in Canada founded in 1968, based at Université de Montréal. Members of this institute have won the "Nobel Prize" in computer sciences (Turing Prize, Yoshua Bengio) in 2019 and the Wolf Prize in physics in 2018 (Gilles Brassard), considered as the most prestigious prize in physics after the Nobel, leading usually to the Nobel prize in physics. In 2022, James Maynard (Oxford) was awarded the Fields Medal after his postdoctoral year in the CRM-ISM postdoctoral program that Lalonde founded.
He (co)founded several institutions, namely the Institut des Sciences Mathématiques (ISM) (McGill, Montréal, UQAM, Concordia, Laval, Sherbrooke universities) based at UQAM, the first unified doctoral school in the world with 250 professors, the Centre interuniversitaire de recherches en géométrie différentielle et en topologi |
https://en.wikipedia.org/wiki/Symmetric%20power | In mathematics, the n-th symmetric power of an object X is the quotient of the n-fold product by the permutation action of the symmetric group .
More precisely, the notion exists at least in the following three areas:
In linear algebra, the n-th symmetric power of a vector space V is the vector subspace of the symmetric algebra of V consisting of degree-n elements (here the product is a tensor product).
In algebraic topology, the n-th symmetric power of a topological space X is the quotient space , as in the beginning of this article.
In algebraic geometry, a symmetric power is defined in a way similar to that in algebraic topology. For example, if is an affine variety, then the GIT quotient is the n-th symmetric power of X.
References
External links
Symmetric relations |
https://en.wikipedia.org/wiki/Timur%20Bayzhanov | Timur Rashiduly Bayzhanov (; born 30 March 1990) is a Kazakh footballer who plays as a forward for Aksu.
Career statistics
International
References
External links
1990 births
Living people
Kazakhstani men's footballers
Kazakhstan men's international footballers
Kazakhstan Premier League players
FC Irtysh Pavlodar players
FC Kaisar players
FC Kairat players
FC Taraz players
FC Tyumen players
Kazakhstani expatriate men's footballers
Expatriate men's footballers in Russia
Men's association football forwards
Sportspeople from Pavlodar |
https://en.wikipedia.org/wiki/If%20to%20Believe%20Lopotukhin... | If We Believe Lopotukhin... () is a 1983 Soviet science fiction-comedy film directed by Mikhail Kozakov.
Plot
Vasya Lopotukhin who comes late for the mathematics exam says that he met with a representative of extraterrestrial civilization, or, more simply, a humanoid who flew on a ZAZ Zaporozhets without wheels and is very similar to the school headmaster, only he also wore a helmet. Vasya is forced to renounce his stories about the stranger at the general school meeting, but whether to believe him or not, each of the participants in this story decides for himself.
Cast
Grisha Evseev — Vasya Lopotukhin
Leonid Bronevoy — Yuri Leonidovich, school director / humanoid
Svetlana Kryuchkova — Alla Konstantinovna, teacher of mathematics
Boryslav Brondukov — Uncle Kolya
Vitaly Leonov (Stepan Ivanovich) and Ivan Ufimtsev (Ivan Stepanovich) — Friends of Uncle Kolya
Vasya Arkanov — Shafirov
Natasha Zbrueva — Malakhova
Anton Narkevich — Pavlov
Maxim Kondratiev — Petrov
Maksim Shirokov — Polukektov
References
External links
Studio Ekran films
Soviet science fiction comedy films
1980s science fiction comedy films
1980s high school films
Soviet television films
1983 comedy films
1983 films |
https://en.wikipedia.org/wiki/Hui%20Zou | Hui Zou is currently a professor of statistics at the University of Minnesota.
Selected publications
Honors and awards
Fellow of the American Statistical Association, 2019
Highly Cited Researcher in Mathematics, 2014, 2015, 2016, 2017, 2018
Fellow, Institute of Mathematical Statistics, 2015.
Institute of Mathematical Statistics Tweedie New Researcher Award, 2011
National Science Foundation CAREER Award, 2009
New Hot Paper in Mathematics, 2008
Fast Breaking Paper in Mathematics, 2006
References
External links
Living people
American people of Chinese descent
American statisticians
American computer scientists
Chinese statisticians
Fellows of the American Statistical Association
Chinese computer scientists
University of Science and Technology of China alumni
Stanford University alumni
University of Minnesota faculty
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/William%20Parkinson%20Wilson | William Parkinson Wilson (late 1825 – 11 September 1874) was an astronomer and professor of mathematics who was born in England but spent most of his career in Australia.
Life and career
William Parkinson Wilson was born in Peterborough, Northamptonshire to John Wilson, a silversmith, and his wife Elizabeth (née Parkinson). He attended Cathedral Grammar School in Peterborough and in 1843 won a scholarship to St John's College, Cambridge where he earned his BA (and was senior wrangler) in 1847. In 1849 he became First Professor of Mathematics at Queen's College, Belfast (later Queen's University Belfast). During his six years there he worked tirelessly to establish a Queens College astronomical observatory. In 1850 he published A Treatise on Dynamics (Hodges and Smith).
In 1855 he moved to Australia and, along with William Hearn, became one of the four founding professors of the University of Melbourne. He was active in the Philosophical Institute (founded in 1855) and its successor the Royal Society of Victoria. While at his earlier position in Belfast, Wilson had in 1856 advocated Melbourne as the site for a southern hemisphere observatory––long a goal of the Royal Society. In 1858 he demonstrated a model reflector for the proposed Melbourne Observatory, and lived to see it open in 1863.
He spent the rest of his life as professor of mathematics and astronomy at Melbourne. He is buried in Mornington, Victoria on 11 December 1874. He was 48 years old.
References
External links
Papers of William Parkinson Wilson Physics in Australia to 1945
Alumni of St John's College, Cambridge
Academics of Queen's University Belfast
Academic staff of the University of Melbourne
19th-century English mathematicians
English physicists
19th-century British astronomers
1826 births
1874 deaths
English emigrants to colonial Australia
People from Peterborough |
https://en.wikipedia.org/wiki/Profinite%20word | In mathematics, more precisely in formal language theory, the profinite words are a generalization of the notion of finite words into a complete topological space. This notion allows the use of topology to study languages and finite semigroups. For example, profinite words are used to give an alternative characterization of the algebraic notion of a variety of finite semigroups.
Definition
Let A an alphabet. The set of profinite words over A consists of the completion of a metric space whose domain is the set of words over A. The distance used to define the metric is given using a notion of separation of words. Those notions are now defined.
Separation
Let M and N be monoids, and let p and q be elements of the monoid M. Let φ be a morphism of monoids from M to N. It is said that the morphism φ separates p and q if . For example, the morphism sending a word to the parity of its length separates the words ababa and abaa. Indeed .
It is said that N separates p and q if there exists a morphism of monoids φ from M to N that separates p and q. Using the previous example, separates ababa and abaa. More generally, separates any words whose size are not congruent modulo n. In general, any two distinct words can be separated, using the monoid whose elements are the factors of p plus a fresh element 0. The morphism sends prefixes of p to themselves and everything else to 0.
Distance
The distance between two distinct words p and q is defined as the inverse of the size of the smallest monoid N separating p and q. Thus, the distance of ababa and abaa is . The distance of p to itself is defined as 0.
This distance d is an ultrametric, that is, . Furthermore it satisfies and .
Since any word p can be separated from any other word using a monoid with |p|+1 elements, where |p| is the length of p, it follows that the distance between p and any other word is at least . Thus the topology defined by this metric is discrete.
Profinite topology
The profinite completion of , denoted , is the completion of the set of finite words under the distance defined above. The completion preserves the monoid structure.
The topology on is compact.
Any monoid morphism , with M finite can be extended uniquely into a monoid morphism , and this morphism is uniformly continuous (using any metric on compatible with the discrete topology). Furthermore, is the least topological space with this property.
Profinite word
A profinite word is an element of . And a profinite language is a set of profinite words. Every finite word is a profinite word. A few examples of profinite words that are not finite are now given.
For m any word, let denote , which exists because is a Cauchy sequence. Intuitively, to separate and , a monoid should count at least up to , and hence requires at least elements. Since is a Cauchy sequence, is indeed a profinite word.
Furthermore, the word is idempotent. This is due to the fact that, for any morphism with N finite, . Since N is finite, |
https://en.wikipedia.org/wiki/M%C3%A1rta%20Sv%C3%A9d | Márta Svéd (1910 – 30 September 2005) was a Hungarian mathematician who moved to Australia in the 1930s and became a teacher of mathematics at the University of Adelaide. She was 75 years old when she completed her PhD in 1985. She wrote the textbook Journey into Geometries (1991), and won the BH Neumann Award in 1994 for her contributions to mathematics learning in Australia.
Early life
Márta Svéd was in the same high school class in Budapest as Esther Klein. She became interested in mathematics through Középiskolai Matematikai Lapok (KöMaL), a Hungarian magazine for high school mathematicians, and through its problem-solving column, where Paul Erdős was also a regular solver.
She took third place in her year's offering of the Hungarian national high school mathematics competition, ahead of Pál Turán but behind her future husband, civil engineer George Svéd. Due to the restrictions placed on Jews in Hungary in the late 1920s, only two students from their class could study science or mathematics at the university in Budapest; Márta took the mathematics position, and Klein studied physics instead.
Later life
Svéd and her husband moved to Australia in 1939 and had one son and one daughter. She became the head of the mathematics department at Wilderness School, a private Adelaide high school for girls, and in the same year helped found Australia's first high school mathematics magazine.
Her old friend Klein, meanwhile, had married mathematician George Szekeres and escaped Europe for Shanghai; after World War II, the Szekeres and Svéd families shared a small apartment in Adelaide.
Svéd died on 30 September 2005, two days after the death of her friends, George and Esther Szekeres, who died within an hour of each other. She was interred at Centennial Park Cemetery, Pasadena, Mitcham City, South Australia.
Contributions
In 1985, Svéd completed a PhD at the University of Adelaide, at age 75. Her dissertation, On finite linear and Baer structures, concerned finite geometry, and was supervised by Rey Casse. Her 1991 book, Journey into Geometries (MAA Spectrum), has been described by reviewer David A. Thomas as an "Alice-in-Wonderland-type journey into non-Euclidean geometry", written in a conversational style.
Svéd's posthumously-published book Two Lives and a Bonus (Peacock Publications, 2006) documents her early life in Budapest.
Awards and honours
Svéd won the BH Neumann Award of the Australian Mathematics Trust in 1994. The award citation credited her in particular for the flourishing of mathematics competitions in Australia and the success of Australia in international mathematics competitions.
The University of Adelaide offers a scholarship for women mathematicians named in memory of Svéd.
References
Year of birth uncertain
Date of birth missing
2005 deaths
Australian mathematicians
Australian people of Hungarian-Jewish descent
Hungarian Jews
20th-century Hungarian mathematicians
Women mathematicians
University of Adelaide alumni
Academic |
https://en.wikipedia.org/wiki/Modified%20gross%20national%20income | Modified gross national income, Modified GNI or GNI* is a metric used by the Central Statistics Office (Ireland) to measure the Irish economy rather than GNI or GDP. GNI* is GNI minus the depreciation on Intellectual Property, depreciation on leased aircraft and the net factor income of redomiciled PLCs.
While "Inflated GDP-per-capita" due to BEPS tools is a feature of tax havens, Ireland was the first to adjust its GDP metrics. Economists, including Eurostat, noted Irish Modified GNI (GNI*) is still distorted by Irish BEPS tools and US multinational tax planning activities in Ireland (e.g. contract manufacturing); and that Irish BEPS tools distort aggregate EU-28 data, and the EU-US trade deficit.
In August 2018, the Central Statistics Office (Ireland) (CSO) restated table of Irish GDP versus Modified GNI (2009–2017) showed GDP was 162% of GNI* (EU-28 2017 GDP was 100% of GNI). Ireland's public differ dramatically depending on whether Debt-to-GDP, Debt-to-GNI* or Debt-per-Capita is used.
Original distortion
In February 1994, tax academic James R. Hines Jr., identified Ireland as one of seven major tax havens in his 1994 Hines-Rice paper, still the most cited paper in research on tax havens. Hines noted that the profit shifting tools of US multinationals in corporate-focused tax havens distorted the national economic statistics of the haven as the scale of the profit shifting was disproportionate to haven's economy. An elevated GDP-per-capita became a "proxy indicator" of a tax haven.
In November 2005, the Wall Street Journal reported that US technology and life sciences multinationals (e.g. Microsoft), were using an Irish base erosion and profit shifting ("BEPS") tool called the double Irish, to minimise their corporate taxes. Designed by PwC (Ireland) tax partner, Feargal O'Rourke, the double Irish would become the largest BEPS tool in history, and would enable US multinationals to accumulate over US$1 trillion in untaxed offshore profits.
The accounting flows of BEPS tools can appear in national economic statistics, varying with each tool, but without contributing to the economy of the tax haven.
Subsequent US Senate (2013), and EU Commission (2014–2016) investigations, into Apple's Irish tax structure, would show that starting in 2004, Apple's Irish subsidiary, Apple Sales International ("ASI"), would almost double the untaxed profits shifted through its double Irish BEPS tool every year, for a decade.
From 2003 to 2007, research has shown that inflated Irish GDP from US multinational BEPS tools, amplified the Irish Celtic Tiger period by stimulating Irish consumer optimism, who increased borrowing to OECD record levels; and global capital markets optimism about Ireland enabling Irish banks to borrow 180% of Irish deposits.
This unwound in the economic crisis as global capital markets, who had ignored Ireland's deteriorating credit metrics and distorted GDP data when Irish GDP was rising, withdrew and precipitated an Irish prope |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.