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https://en.wikipedia.org/wiki/Bulletin%20of%20Mathematical%20Sciences | The Bulletin of Mathematical Sciences is a triannual peer-reviewed scientific journal of mathematics published by World Scientific as a diamond open access journal with article processing charges covered by King Abdulaziz University. The journal publishes expository papers, mostly invited, in all areas of mathematics, as well as short papers with original research. The journal's editors-in-chief are Efim Zelmanov (University of California, San Diego), S.K. Jain (King Abdulaziz University), and Ahmed Alsaedi (King Abdulaziz University). The journal was established in 2011.
Abstracting and indexing
The journal is abstracted and indexed in MathSciNet, ZbMATH Open, Current Contents/Physical, Chemical & Earth Sciences, and the Science Citation Index Expanded. According to the Journal Citation Reports, the journal has a 2021 impact factor of 1.485. For 2016 the journal's Mathematical citation quotient (MSQ) from MathSciNet was 0.97.
References
External links
Mathematics journals
Academic journals established in 2011
World Scientific academic journals
English-language journals
Creative Commons Attribution-licensed journals
Triannual journals |
https://en.wikipedia.org/wiki/Kimiko%20O.%20Bowman | Kimiko Osada Bowman (August 15, 1927 – 13 January 2019) was a Japanese-American statistician known for her work on approximating the probability distribution of maximum likelihood estimators and for her advocacy for people with disabilities.
Life
Kimiko Osada was born in Japan in 1927 before emigrating to the United States in 1951. She became a U.S. citizen in 1958.
She contracted polio while young, and became paralyzed from the neck down, but learned to walk again through years of physical therapy.
She began her undergraduate studies in home economics at Radford College, but was persuaded by the college president to become a scientist. She studied both mathematics and chemistry and completed a B.S.Ed. in mathematics in 1960. She earned a Ph.D. in mathematical statistics from Virginia Tech in 1963; her dissertation, advised by Leonard Shenton, was Moments to Higher Orders for Maximum Likelihood Estimates with an Application to the Negative Binomial Distribution.
As a senior research scientist at the Oak Ridge National Laboratory, Bowman worked on the distributional properties of estimators based on non-normal data. Bowman also frequently visited Japan in association with the U.S. Office of Naval Research. After 45 years of service, she retired in 1994.
Bowman served on the National Science Foundation Equal Opportunities for Science and Engineering advisory committee, and chaired the NSF Committee on People with Disabilities. She also chaired the Statistical Tracking of Employment of People with Disabilities Task Force for the President’s Committee on Employment of People with Disabilities.
Awards and honors
Bowman became a Fellow of the American Statistical Association in 1976. She was also a fellow of the American Association for the Advancement of Science and the Institute of Mathematical Statistics, and an elected member of the International Statistical Institute.
In 1987, she was given an honorary doctorate by the University of Tokyo, becoming the first foreigner to be so honored.
References
1927 births
2019 deaths
American statisticians
Japanese statisticians
Women statisticians
Radford University alumni
Virginia Tech alumni
Fellows of the American Association for the Advancement of Science
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics
Elected Members of the International Statistical Institute
Japanese emigrants to the United States
American people of Japanese descent
People with tetraplegia |
https://en.wikipedia.org/wiki/List%20of%20Guangzhou%20F.C.%20records%20and%20statistics |
Honours
All-time honours list including semi-professional period.
Club
Domestic
Leagues
Chinese Super League
Winners (7): 2011, 2012, 2013, 2014, 2015, 2016, 2017
Chinese Jia-B League / China League One
Winners (5): 1956, 1958, 1981, 2007, 2010
Cups
Chinese FA Cup
Winners (2): 2012, 2016
Chinese FA Super Cup
Winners (4): 2012, 2016, 2017, 2018
International
AFC Champions League
Winners (2): 2013, 2015
FIFA Club World Cup
Fourth place (2): 2013, 2015
Personal
(* shared)
Player records
Appearances
Most appearances in the league: Feng Junyan, 222 games, 2003–14
Most appearances in all matches: Gao Lin, 304 games, 2010–present
Most first-tier league appearances: Gao Lin, 190 games, 2011–present
Goalscorers
Most goals in all competitions: Gao Lin, 100 goals, 2010–present
Most goals in first-tier league: Gao Lin, 62 goals, 2011–present
Most goals in a season: 34 goals, Elkeson in the 2014 season
Most goals in a match: 4 goals, Hu Zhijun against Shanghai Shenhua, 14 August 1994 and Muriqui against Nanjing Yoyo, 21 July 2010
Fastest goal: Tan Ende, 10 seconds, against Yanbian Hyundai, 2 June 1996
All-time top goalscorers
Since 1994 the first professional league season. Correct as of 28 August 2019. Names in bold indicate players currently plays for Guangzhou.
Transfers
Record transfer fee paid: signing Jackson Martínez from Atlético Madrid for €42 million, February 2016
Record transfer fee received: selling Paulinho to FC Barcelona for €40 million, August 2017
Club records
Since 1994 the first professional league season. Correct as of 4 November 2017.
Wins
Record home win: 10–0 against Nanjing Yoyo in China League One, 21 July 2010
Record away win: 6–0 against Shijiazhuang Ever Bright in Chinese Super League, 15 October 2016
Defeats
Record home defeat: 2–5 against Shanghai Shenhua in Jia-A League, 8 May 1994
Record away defeat: 0–6 against Changchun Yatai in Super League, 11 October 2008
Streaks
Longest unbeaten streak (league): 44 games (32 wins and 12 draws) during the 2010 League One to 2011 Super League seasons
Longest home unbeaten run (league): 44 games during 2015 Super League season to 2017 Super League season (29 wins and 15 draws)
Longest away unbeaten run (league): 23 games (14 wins and 9 draws) during the 2010 League One to 2011 Super League seasons
Longest streak without a win (league): 12 games (5 draws and 7 defeats) during the 2002 Jia-B League season
Longest streak without a win at home (league): 7 games (4 draws and 3 defeats) during the 1998 Jia-A League season
Longest streak without a win away (league): 21 games (11 draws and 10 defeats) during 1996 to 1998 Jia-A League seasons
Longest winning streak (league): 10 games during the 2017 Super League season
Longest home winning streak (league): 12 games during the 2011 to 2012 Super League season
Longest away winning streak (league): 10 games during the 2015 Super League season
Longest losing streak (league): 6 games during the 1998 Jia-A League season
Longest |
https://en.wikipedia.org/wiki/Rudolf%20Kochend%C3%B6rffer | Rudolf Paul Joachim Kochendörffer (21 November 1911 in Pankow – 23 August 1980 in Dortmund) was a German mathematician who was a Professor of mathematics in the University of Rostock specialising in algebra, Group theory and theory of finite groups and their representation. During World War II, Kochendörffer worked as a mathematical cryptanalyst in the mathematical referat of Inspectorate 7/IV, that would later become part of Referat I of Group IV of the General der Nachrichtenaufklärung (abbr. GDNA), the signals intelligence agency of the Wehrmacht and was known as a cryptographic tester of the Enigma cipher machine. Kochendörffer was a Member of the Scientific Advisory Council for Mathematics at the State Secretariat for the Higher and Specialist Schools of the GDR, a staff member of Mathematical Reviews and collaborated with the Zentralblatt MATH
Personal life
Rudolf Kochendörffers father, Albert Kochendörffer(1877-1958) was a lending bookseller (). His mother was Bertha Kochendörffer. In 1930, Kochendörffer completed his Abitur. Kochendörffer subsequently studied at the Technical University of Berlin from 1930 to 1936 on the study of mathematics, physics and philosophy.
In 1936, he was promoted to Dr Phil, with a doctoral thesis titled: Investigations on a presumption of W. Burnside (German:Untersuchungen über eine Vermutung von W. Burnside) (Burnside's theorem), whose doctorals advisors where among others, Ludwig Bieberbach, Issai Schur and Erhard Schmidt, but was forced to resign as a Jew in 1935. During 1938/9 he was an assistant at the University of Göttingen. From 1939 to 1942 he was an assistant to the cryptanalysis department of the German Foreign Office () and from 1942-1945 he was employed as a mathematical cryptanalysis in the OKW/Chi and the GDNA. from 1946 to 1948 he worked as a Senior assistant at the Mathematical Institute of the Humboldt University of Berlin. In 1948, Kochendörffer habilitated in the subjects of mathematics in Berlin, and was promoted to full professor, therein working as a lecturer. He then found position for a year as Professor with full lecturing for mathematics at the University of Greifswald. At the start of the new decade in 1950, Kochendörffer became a Professor of Mathematics at the University of Rostock, a position he held until 1966.
Kochendörffer specialized in group theory. He was also known for writing various algebra textbooks. Between 1967-1970 Rudolf Kochendörffer was Visiting Professor of Mathematics, Faculty of Natural Sciences at the Johannes Gutenberg University of Mainz, and at the University of Tasmania. Between 1970-1977, Kochendörffer finished his career as Professor of Mathematics at the Technical University of Dortmund.
He was a member of the , German Mathematical Society and the member of Gesellschaft für Angewandte Mathematik und Mechanik.
Honours
In 1960, he was awarded the Patriotic Order of Merit in Bronze, which was recognized in 1967. In 1963 he received the National Pri |
https://en.wikipedia.org/wiki/Adimeh | Adimeh or Al-'Adimah () is a Syrian village located in Baniyas District, Tartus. According to the Syria Central Bureau of Statistics (CBS), Adimeh had a population of 1,408 in the 2004 census.
Near Adimeh, there is a Crusader castle called Burj al-Sabi.
References
Populated places in Baniyas District |
https://en.wikipedia.org/wiki/Al-Annazah%2C%20Tartus%20District | Al-Annazah () is a Syrian village located in Tartus District, Tartus. According to the Syria Central Bureau of Statistics (CBS), Al-Annazah had a population of 1,944 in the 2004 census.
References
Populated places in Tartus District |
https://en.wikipedia.org/wiki/Aliqa | Aliqa or Al-Ullayqah () is a Syrian village located in Baniyas District, Tartus. According to the Syria Central Bureau of Statistics (CBS), Aliqa had a population of 720 in the 2004 census. The village has Aleika Castle which dates back to the Nizari Ismaili state.
References
Populated places in Baniyas District |
https://en.wikipedia.org/wiki/Areimeh | Areimeh () is a Syrian village located in Tartus District, Tartus. According to the Syria Central Bureau of Statistics (CBS), Areimeh had a population of 507 in the 2004 census.
Due to the region's important strategic role, the Areimeh Castle was built there.
References
Populated places in Tartus District |
https://en.wikipedia.org/wiki/Shili%20Lin | Shili Lin is a statistician who studies the applications of statistics to genomic data. She is a professor of statistics at Ohio State University, and is president-elect of the Caucus for Women in Statistics.
Lin earned her Ph.D. in 1993 from the University of Washington. Her dissertation, supervised by Elizabeth A. Thompson, was Markov Chain Monte Carlo Estimates Of Probabilities On Complex Structures.
After working as a Neyman Visiting Assistant Professor at the University of California, Berkeley, she joined the Ohio State faculty in 1995.
She has been a fellow of the American Statistical Association since 2004, and a fellow of the American Association for the Advancement of Science since 2009.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
University of Washington alumni
University of California, Berkeley faculty
Ohio State University faculty
Fellows of the American Association for the Advancement of Science
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Romeo%20Jozak | Romeo Jozak (born 11 October 1972) is a Croatian football manager and former player who most recently managed the Kuwait national team.
Early career
Jozak grew up in a family of mathematics and physics teachers. He ended his football career early due to a serious injury at the age of twenty-two while playing at the club NK Orijent Rijeka. During the Croatian War of Independence, he stayed in Zagreb. Soon after he was awarded a scholarship to the United States, where he also worked as an instructor at youth summer camps. After returning, he started training with Ilija Lončarević, assisting him as an assistant at Dinamo Zagreb (2001–2002 and 2004–2005), the Libya team (2003–2004 and 2005–2006) and NK Osijek (2006–2008). At the same time, he completed his doctorate education at the Faculty of Kinesiology at the University of Zagreb.
Coaching career
Early steps
He parted ways with the Croatian Football Federation in March 2017. Then returning to Dinamo Zagreb as a sports director, but he only staying there for four months. After the dismissal of Dinamo Zagreb's head coach, Ivaylo Petev, Jozak hinted at taking over for the vacant head coach position. The board replaced Petev with Mario Cvitanović and Jozak soon after decided to resign.
Legia Warsaw
On 13 September 2017, Jozak was hired as the manager of Polish club Legia Warsaw. On 14 April 2018, after his team lost 0–1 to Zagłębie Lubin, he was fired and replaced by his assistant Dean Klafurić.
Kuwait national team
On 27 July 2018, Romeo Jozak was hired as Kuwait national team head coach. On 12 September 2019, Romeo Jozak was fired following a home defeat to Australia.
Columbus Blast FC Soccer Academy
Romeo Jozak made a significant investment and became the majority owner of Columbus’ Blast FC Soccer Academy in Columbus, Ohio, which is the longest running youth soccer program in Central Ohio.
Saudi Arabia
On 22 July 2021, Romeo Jozak was hired as Saudi Arabia Technical Director.
Managerial statistics
As of 30 June 2021
References
External links
Romeo Jozak Official website
1972 births
Living people
Footballers from Rijeka
Men's association football players not categorized by position
Croatian men's footballers
HNK Orijent players
Croatian football managers
GNK Dinamo Zagreb non-playing staff
Legia Warsaw managers
Kuwait national football team managers
Croatian expatriate football managers
Expatriate football managers in Poland
Croatian expatriate sportspeople in Poland
Expatriate football managers in Kuwait
Croatian expatriate sportspeople in Kuwait
Croatian expatriate sportspeople in Saudi Arabia |
https://en.wikipedia.org/wiki/Zakiyah | Zakyah () is a Syrian town located in Markaz Rif Dimashq, Rif Dimashq. According to the Syria Central Bureau of Statistics (CBS), Zakiyah had a population of 18,553 in the 2004 census.
History
In 1838, Eli Smith noted Zakyah's population being Sunni Muslims.
References
Bibliography
Populated places in Markaz Rif Dimashq District |
https://en.wikipedia.org/wiki/Al-Taybah%2C%20Rif%20Dimashq%20Governorate | Al-Taybah () is a Syrian village located in Markaz Rif Dimashq, Rif Dimashq. According to the Syria Central Bureau of Statistics (CBS), Al-Taybah had a population of 4,008 in the 2004 census. In 1838, Eli Smith noted Al-Taybah's population as being Sunni Muslims.
References
Bibliography
Populated places in Markaz Rif Dimashq District |
https://en.wikipedia.org/wiki/Jabah | Jabah () is a Syrian village located in Quneitra District, Quneitra. According to the Syria Central Bureau of Statistics (CBS), Jabah had a population of 5,281 in the 2004 census.
History
In 1596 Jabah appeared in the Ottoman tax registers under the name of Jaba, situated in the nahiya (subdistrict) of Jaydur in the Hauran Sanjak. It had an entirely Muslim population of 30 households and 23 bachelors. They paid a fixed tax-rate of 40% on agricultural products, including wheat, barley, summer crops, fruit trees, goats and bee-hives; in addition to occasional revenues. Their total tax was 8,500 akçe, with all of it going to a waqf (religious trust).
References
Bibliography
External links
Qnaitra-map 19 K
Towns in Quneitra Governorate |
https://en.wikipedia.org/wiki/Jabab | Jabab () is a Syrian village located in Al-Sanamayn District, Daraa. According to the Syria Central Bureau of Statistics (CBS), Jabab had a population of 7,699 in the 2004 census.
History
In 1838, it was noted as a Sunni Muslim village, situated "the Nukra, north of Al-Shaykh Maskin".
References
Bibliography
External links
Mesmiye-map; 19M
Populated places in Al-Sanamayn District |
https://en.wikipedia.org/wiki/Deir%20Khabiyah | Deir Khabiyah () is a Syrian village located in Markaz Rif Dimashq, Rif Dimashq. According to the Syria Central Bureau of Statistics (CBS), Deir Khabiyah had a population of 4,350 in the 2004 census.
History
The tell in Deir Khabiyah dates back to the Bronze Age and Iron Age from the beginning of the 2nd to the 1st millennium BC.
In 1838, Eli Smith noted Deir Khabiyah's population being Sunni Muslims.
Syrian Civil War
On 16 May 2022, two fighters of the Pro-Assad Ba'ath militia were killed in a double IED explosion in the village.
References
Bibliography
Populated places in Markaz Rif Dimashq District |
https://en.wikipedia.org/wiki/Al-Haijaneh | Al-Haijaneh () is a Syrian village located in Douma District, Rif Dimashq. According to the Syria Central Bureau of Statistics (CBS), Al-Haijaneh had a population of 8,138 in the 2004 census.
References
Populated places in Douma District |
https://en.wikipedia.org/wiki/Al-Bitariyah | Al-Bitariyah () is a Syrian village located in Douma District, Rif Dimashq. According to the Syria Central Bureau of Statistics (CBS), Al-Bitariyah had a population of 3,026 in the 2004 census.
References
Populated places in Douma District |
https://en.wikipedia.org/wiki/Mesraba | Mesraba () is a Syrian village located in Douma District, Rif Dimashq. According to the Syria Central Bureau of Statistics (CBS), Mesraba had a population of 5,942 in the 2004 census.
References
Populated places in Douma District |
https://en.wikipedia.org/wiki/Madira%2C%20Syria | Madira () is a Syrian village located in Douma District, Rif Dimashq. According to the Syria Central Bureau of Statistics (CBS), Madira had a population of 4,308 in the 2004 census.
References
Populated places in Douma District |
https://en.wikipedia.org/wiki/Stiven%20Puci | Stiven Puci (born 3 May 1998) is an Albanian professional footballer who plays as a defender for Albanian club Luftëtari Gjirokastër.
Career statistics
References
External links
1998 births
Living people
Sportspeople from Gjirokastër County
Footballers from Gjirokastër
Albanian men's footballers
Men's association football defenders
KF Luftëtari players
FC Dinamo City players
Kategoria e Parë players
Kategoria Superiore players |
https://en.wikipedia.org/wiki/Arsen%20Kasa | Arsen Kasa (born 2 May 1997) is an Albanian professional footballer who plays as a midfielder for Albanian club AF Elbasani
Career statistics
References
External links
1997 births
Living people
Footballers from Elbasan
Albanian men's footballers
Sportspeople from Elbasan County
Men's association football midfielders
KF Elbasani players
KF Luftëtari players
KS Pogradeci players
Kategoria e Parë players
Kategoria Superiore players |
https://en.wikipedia.org/wiki/Janet%20D.%20Elashoff | Janet Dixon Elashoff is a retired American statistician, formerly the director of biostatistics for Cedars-Sinai Medical Center and professor of biomathematics at the University of California, Los Angeles.
Early life
Janet Dixon was the daughter of mathematician and statistician Wilfrid Dixon.
She completed her Ph.D. in statistics at Harvard University in 1966; her dissertation was Optimal Choice of Rater Teams.
Career
She became a faculty member in the Department of Education and Statistics at Stanford University. With educational psychologist Richard E. Snow, she is the author of Pygmalion Reconsidered: A Case Study in Statistical Inference (C. A. Jones Publishing, 1971), a book on how teacher expectations affect student learning.
She served on the Analysis Advisory Committee of the National Assessment of Educational Progress beginning in the mid-1970s, and chaired the committee in 1982.
While at UCLA and Cedars-Sinai, she wrote the program nQuery Advisor, widely used to estimate the sample size requirements for pharmaceutical testing, and spun off the company Statistical Solutions LLC to commercialize it.
She has been a fellow of the American Statistical Association since 1978, following in the steps of her father who was also a fellow.
References
Year of birth missing (living people)
Living people
American women statisticians
Harvard Graduate School of Arts and Sciences alumni
Stanford University faculty
University of California, Los Angeles faculty
Fellows of the American Statistical Association
21st-century American women |
https://en.wikipedia.org/wiki/Marina%20Vannucci | Marina Vannucci (born 1966) is an Italian statistician, the Noah Harding Professor and Chair of Statistics at Rice University, the past president of the International Society for Bayesian Analysis, and the former editor-in-chief of Bayesian Analysis. Topics in her research include wavelets, feature selection, and cluster analysis in Bayesian statistics.
Education and career
Vannucci earned a bachelor's degree in mathematics in 1992, from the University of Florence. She completed her doctorate in statistics in 1996 at the same institution. Her dissertation, supervised by Antonio Moro, was On the Application of Wavelets in Statistics.
After postdoctoral research at the University of Kent, she joined the faculty at Texas A&M University in 1998, and moved to Rice in 2007.
She was editor-in-chief of Bayesian Analysis for 2013–2015,
and was elected president of the International Society for Bayesian Analysis for the 2018 term.
Awards and honors
Vannucci is a fellow of the American Statistical Association (2006), the Institute of Mathematical Statistics (2009), the American Association for the Advancement of Science (2012), and the International Society for Bayesian Analysis (2014), and an elected member of the International Statistical Institute (2007).
The citation for her IMS fellowship credits her "for fundamental contributions to the theory and practice of Bayesian methods for variable selection, and of wavelet-based modeling, and for mentorship of young researchers". She was given the Noah Harding Chair in 2016.
References
External links
Home page
1966 births
Living people
American women statisticians
Italian statisticians
University of Florence alumni
Texas A&M University faculty
Rice University faculty
Elected Members of the International Statistical Institute
Fellows of the American Association for the Advancement of Science
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics
21st-century American women |
https://en.wikipedia.org/wiki/Frederick%20S.%20Woods | Frederick Shenstone Woods (1864–1950) was an American mathematician.
He was a part of the mathematics faculty of the Massachusetts Institute of Technology from 1895 to 1934, being head of the department of mathematics from 1930 to 1934 and chairman of the MIT faculty from 1931 to 1933.
His textbook on analytic geometry in 1897 was reviewed by Maxime Bocher.
In 1901 he wrote on Riemannian geometry and curvature of Riemannian manifolds. In 1903 he spoke on non-Euclidean geometry.
Works
1901:
1905:
1907: (with Frederick H. Bailey) A course in mathematics via Internet Archive
1917: (with Frederick H. Bailey) Analytic geometry and calculus via Internet Archive
1922: (with Frederick H. Bailey) Elementary calculus via Internet Archive
1922: Higher geometry
Non-Euclidean geometry
Following Wilhelm Killing (1885) and others, Woods described motions in spaces of non-Euclidean geometry in the form:
which becomes a Lorentz boost by setting , as well as general motions in hyperbolic space
Notes
External links
1864 births
1950 deaths
Mathematicians from Massachusetts
Massachusetts Institute of Technology School of Science faculty
American textbook writers |
https://en.wikipedia.org/wiki/Jane%20Ye | Jane Ye （叶娟娟）is a Chinese-Canadian mathematician who works as a professor of mathematics at University of Victoria. Her interests include variational analysis and optimization constraint problems. She is the 2015 winner of the Krieger–Nelson Prize, given annually by the Canadian Mathematical Society to an outstanding female researcher in mathematics.
Ye was born in China and received her B.Sc. from Xiamen University in 1982. She completed her doctorate in applied mathematics in 1990 at Dalhousie University, under the supervision of Michael Dempster. From 1990 to 1992 she was a postdoctoral researcher at the Centre de Recherches Mathématiques in Montreal, under the supervision of Francis Clarke , before joining the faculty of University of Victoria in 1992 as an NSERC Women's Faculty Award Holder. She was appointed to a full professorship in 2002.
References
External links
Year of birth missing (living people)
Living people
21st-century Canadian women scientists
Canadian women mathematicians
20th-century Canadian mathematicians
21st-century Canadian mathematicians
20th-century women mathematicians
21st-century women mathematicians |
https://en.wikipedia.org/wiki/Eduard%20Selling | Eduard Selling (5 November 1834 in Ansbach – 31 January 1920 in Munich) was a German mathematician and inventor of calculating machines.
Selling studied mathematics at the Universities of Göttingen and Munich (under Philipp Ludwig von Seidel). He obtained the doctorate in Munich in 1859, under the supervision of Bernhard Riemann. On recommendation of Leopold Kronecker he became professor extraordinarius of mathematics at the University of Würzburg in 1860 – against the will of the philosophical faculty and the mathematics professor Aloys Mayr. There, he also taught astronomy and became conservator-restorer at the astronomical department in 1879. In 1873 he wrote an important paper on binary and ternary quadratic forms which was also translated into French and cited by Henri Poincaré, Émile Picard and Paul Gustav Heinrich Bachmann. Beginning with 1877 he also became concerned with insurance, and participated in the reorganization of the pensions in Bavaria on behalf of the Bavarian government. His application for a promotion to professor ordinarius was declined in 1891. In 1906 he became emeritus.
For his own extensive computations (for instance, signed-digit representation), he initially used computational machines by Thomas de Colmar with which he was not satisfied. Therefore, he built multiplication machines after the model of a Pantograph, for which he got a patent in 1886, and a prize at the Chicago World's Fair in 1893. However, the machine was complicated to use and to produce, so it didn't gain much importance. Some 30 to 40 devices were produced until 1898. He also built a few copies of an improved version and designed a third electrical machine (patent in 1894). The later inventor of computational machines, Christel Hamann, participated in those constructions. Some copies of Selling's machine can be seen, for instance, in the Deutsches Museum in Munich.
References
Works
External links
Selling in Rechnerlexikon
History of Computer zu seinem Computer and Biographie
Stephan Weiss Die Multipliziermaschinen von Eduard Selling, 2004, pdf
Selling at History of mathematics in Würzburg
1834 births
1920 deaths
19th-century German mathematicians
20th-century German mathematicians
University of Göttingen alumni
Ludwig Maximilian University of Munich alumni
Academic staff of the University of Würzburg |
https://en.wikipedia.org/wiki/Ferdinando%20Morozzi | Ferdinando Morozzi (1723 – 1785) was an Italian mathematician, cartographer and architect.
Life
Ferdinando Morozzi was born in Siena in 1723 and was lecturer of mathematics and "Second Engineer” at the Grand Duchy of Tuscany. In 1746 he moved with his family to Florence, the judicial and economic troubles of his father being the cause of this relocation. In Florence, Ferdinando learned mathematics and obtained the qualification of engineer. He studied the basin of Arno river and its devastating floods. In 1768 he drew an accurate map of the Grand Duchy of Tuscany.
In 1770 he published a treatise about country houses. He wrote which the houses had to be constructed thinking about the environmental (mountain, hill and plain) and cultural differences; the houses should have built at the center of the farm, with walls to store warmth and a good number of spacious, bright rooms, to be dedicated to domestic life and to work; the external stairs had to be easy and possibly covered "for the part of Tramontane wind" to avoid the frost in winter and defend against any fall.
He collaborated with Giovanni Targioni Tozzetti at the work Viaggi fatti in diverse parti della Toscana per osservare le produzioni naturali e gli antichi monumenti di essa ("Travels made in different parts of Tuscany to observe the natural productions and the ancient monuments of it"), by drawing many illustrations and maps.
He also restored the Varii theatre in Colle Val d'Elsa.
After his death in 1785 in Florence, his rich collection of drawings and maps went almost totally lost.
Works
Memorie di istoria ecclesiastica civile e letteraria di Colle Val d'Elsa (1755)
Sullo stato antico e moderno del fiume Arno (1766)
Delle case de' contadini. Trattato architettonico (1770)
Elogio di Niccolò Beltramini di Colle Val d'Elsa (1773)
References
1723 births
1785 deaths
18th-century Italian mathematicians
18th-century Italian cartographers
18th-century Italian architects |
https://en.wikipedia.org/wiki/Nalini%20Ravishanker | Nalini Ravishanker is an Indian statistician interested in time series analysis and in applications of statistics to actuarial science, business, and transportation. She is a professor of statistics at the University of Connecticut, co-editor-in-chief of International Statistical Review, and president of the International Society for Business and Industrial Statistics for 2015–2017.
Ravishanker earned a bachelor's degree in statistics in 1981 from Presidency College, Chennai. She completed her PhD in 1987 from the New York University Stern School of Business. After a temporary position at the IBM Thomas J. Watson Research Center she joined the Connecticut faculty in 1989.
With Dipak K. Dey, Ravishanker is the author of A First Course in Linear Model Theory (Chapman & Hall, 2001; 2nd ed., 2017). She is also one of the editors of Handbook of Discrete-Valued Time Series (Chapman & Hall, 2015).
Ravishanker is a fellow of the American Statistical Association and an elected member of the International Statistical Institute. She was named to the 2021 class of Fellows of the American Association for the Advancement of Science.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Indian statisticians
Women statisticians
Presidency College, Chennai alumni
New York University alumni
University of Connecticut faculty
Elected Members of the International Statistical Institute
Fellows of the American Statistical Association
Fellows of the American Association for the Advancement of Science |
https://en.wikipedia.org/wiki/Kim-Anh%20Do | Kim-Anh Do is an Australian biostatistician of Vietnamese descent. She is the chair of the Department of Biostatistics in the University of Texas MD Anderson Cancer Center, and the holder of the Electa C. Taylor Chair for Cancer Research at the center. She also holds adjunct professorships at Texas A&M University and Rice University.
Do did her undergraduate studies at the University of Queensland, in mathematics and computer science. She then went to Stanford University for graduate study in statistics. She completed her Ph.D. in 1990 with a dissertation Some Results in Statistical Modeling and Estimation for Software Reliability Problems supervised by Jerome H. Friedman.
With Geoffrey McLachlan and Christophe Ambroise, Do is the author of Analyzing Microarray Gene Expression Data (Wiley, 2004).
Do is a fellow of the American Association for the Advancement of Science, the American Statistical Association, and the Royal Statistical Society. She is an elected member of the International Statistical Institute.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Australian statisticians
Australian people of Vietnamese descent
Women statisticians
Biostatisticians
University of Queensland alumni
Stanford University alumni
University of Texas MD Anderson Cancer Center faculty
Texas A&M University faculty
Rice University faculty
Elected Members of the International Statistical Institute
Fellows of the American Association for the Advancement of Science
Fellows of the American Statistical Association
Fellows of the Royal Statistical Society |
https://en.wikipedia.org/wiki/Merlise%20A.%20Clyde | Merlise Aycock Clyde is an American statistician known for her work in model averaging for Bayesian statistics. She is a Professor of Statistical Science and immediate past chair of the Department of Statistical Science at Duke University. She was president of the International Society for Bayesian Analysis (ISBA) in 2013,
and chair of the Section on Bayesian Statistical Science of the American Statistical Association for 2018.
Education
Clyde graduated from Oregon State University in 1985 with a Bachelor of Science in Forestry. She earned two master's degrees, one from the University of Alberta in 1986 in Forest Biometrics and another from the University of California, Riverside in 1988 in Statistics, before completing her Ph.D. at the University of Minnesota in 1993 in Statistics. Her dissertation, supervised by Kathryn Chaloner, was Bayesian Optimal Designs for Approximate Normality, which received the Savage Award for outstanding dissertation in Bayesian econometrics and statistics in 1994.
Awards and honors
Clyde is a fellow of the American Statistical Association, of ISBA, and of the Institute of Mathematical Statistics. She was one of two winners of the Zellner Medal of the ISBA in 2016 "for their outstanding service to ISBA".
References
External links
Home page
American women statisticians
Oregon State University alumni
University of Alberta alumni
University of California, Riverside alumni
University of Minnesota College of Liberal Arts alumni
Duke University faculty
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics
Year of birth missing (living people)
Living people |
https://en.wikipedia.org/wiki/Marie%20Hu%C5%A1kov%C3%A1 | Marie Hušková (born 1942) is a Czech mathematician who worked in theoretical statistics and change-point problem. She was a doctoral student of Jaroslav Hájek.
In 2012 she was awarded by title Officer of the Order of Orange-Nassau for long term cooperation with Dutch mathematical statisticians.
She is also a Fellow of the Institute of Mathematical Statistics, and an Elected Member of the International Statistical Institute.
References
20th-century Czech mathematicians
Women statisticians
Officers of the Order of Orange-Nassau
Elected Members of the International Statistical Institute
Fellows of the Institute of Mathematical Statistics
1942 births
Living people
20th-century women mathematicians
Czech statisticians
Czechoslovak mathematicians
21st-century Czech mathematicians |
https://en.wikipedia.org/wiki/Muzafar%20Said | Muzafar Said () is a Pakistani politician hailing from Bangai Ziarat Talash, Tehsil Timergara, District Lower Dir who serves as minister of Minister for Finance and Statistics in the Khyber Pakhtunkhwa Assembly. He is also serving as the member of Public Accounts Committee.
External links
References
Living people
Pashtun politicians
Khyber Pakhtunkhwa MPAs 2013–2018
People from Lower Dir District
Jamaat-e-Islami Pakistan politicians
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Tensor%20representation | In mathematics, the tensor representations of the general linear group are those that are obtained by taking finitely many tensor products of the fundamental representation and its dual. The irreducible factors of such a representation are also called tensor representations, and can be obtained by applying Schur functors (associated to Young tableaux). These coincide with the rational representations of the general linear group.
More generally, a matrix group is any subgroup of the general linear group. A tensor representation of a matrix group is any representation that is contained in a tensor representation of the general linear group. For example, the orthogonal group O(n) admits a tensor representation on the space of all trace-free symmetric tensors of order two. For orthogonal groups, the tensor representations are contrasted with the spin representations.
The classical groups, like the symplectic group, have the property that all finite-dimensional representations are tensor representations (by Weyl's construction), while other representations (like the metaplectic representation) exist in infinite dimensions.
References
, chapters 9 and 10.
Bargmann, V., & Todorov, I. T. (1977). Spaces of analytic functions on a complex cone as carriers for the symmetric tensor representations of SO(n). Journal of Mathematical Physics, 18(6), 1141–1148.
Tensors |
https://en.wikipedia.org/wiki/Sergey%20Kitaev | Sergey Kitaev (Russian: Сергей Владимирович Китаев; born 1 January 1975 in Ulan-Ude) is a Professor of Mathematics at the University of Strathclyde, Glasgow, Scotland.
He obtained his Ph.D. in mathematics from the University of Gothenburg in 2003 under the supervision of Einar Steingrímsson.
Kitaev's research interests concern aspects of combinatorics and graph theory.
Contributions
Kitaev is best known for his book Patterns in permutations and words (2011), an introduction to the field of permutation patterns.
He is also the author (with Vadim Lozin) of Words and graphs (2015) on the theory of word-representable graphs which he pioneered.
Kitaev has written over 120 research articles in mathematics.
Of particular note is his work generalizing vincular patterns to having partially ordered entries, a classification (with Anders Claesson) of bijections between 321- and 132-avoiding permutations, and a solution (with Steve Seif) of the word problem for the Perkins semigroup, as well as his work on word-representable graphs.
Selected publications
External links
Sergey Kitaev's page at the University of Strathclyde
References
Combinatorialists
21st-century Russian mathematicians
Academics of the University of Strathclyde
University of Gothenburg alumni
Novosibirsk State University alumni
1975 births
Living people |
https://en.wikipedia.org/wiki/Donna%20Brogan | Donna Jean Brogan (born July 12, 1939) is an American statistician and professor emeritus of statistics at Emory University. Brogan has worked in biostatistical research in the areas of women's health, mental health and psychosocial health statistics, statistics on breast cancer, and analysis of complex survey data.
Early life and education
Brogan was born July 12, 1939, and grew up in a working-class neighborhood in Baltimore, Maryland, and she was the first in her family to go to college. She earned a B.A. in mathematics from Gettysburg College in 1960, an M.S. in statistics from Purdue University in 1962. She earned a PhD in statistics from Iowa State University in 1967, under the supervision of Joseph Sendransk.
Work
In 1971, Brogan founded the Caucus for Women in Statistics, and helped to establish the standing ASA Committee on Women in Statistics.
For four years, she was an assistant professor in the University of North Carolina in the School of Public Health, with a specialization in sample survey design and analysis. Then in 1970, she joined the Emory University School of Medicine as associate professor, later professor in the Department of Statistics and Biometry. Between 1991–1994, she was the Division Director of Biostatistics at Emory. She retired in 2004 from Emory University.
Since 1975, she has worked in freelance and active as a biostatistician, primarily in the specialty area of design and analysis of complex sample surveys.
Personal life
As a woman in mathematics in the 1950s and 1960s, she suffered from many incidents of sex discrimination, including issues with unequal compensation from the University of North Carolina Chapel Hill and Emory University, as well as a legal battle with the DeKalb County voter registrar, which involved the American Civil Liberties Union.
She was married to , and had two children, although their son died in infancy. Brogan and Ruhl later divorced, and Brogan lived as a single mother for several years.
Awards and honors
She is a Fellow of the American Statistical Association, received the Emory University Thomas Jefferson Award from Emory University in 1993, and was awarded the Iowa State University Distinguished Alumni Award in 2002. In 1995, Iowa State University engraved her name on its Plaza of Heroines, which honors outstanding women graduates and faculty.
The "Donna J. Brogan Lecture in Biostatistics" was established in 2004 at Emory University, to honor Brogan's work at the school.
Bibliography
Gayle S Biehler, G Gorgon Brown, Rick L Williams, Donna Brogan. "Estimating Model-Adjusted Risks, Risk Differences, and Risk Ratios From Complex Survey Data." American Journal of Epidemiology. 171(5), 2010.
Sherryl H Goodman, Donna Brogan, Mary Ellen Lynch and Brook Fielding. "Social and Emotional Competence in Children of Depressed Mothers." Child Development. 64(2), 1993.
Cecil Slome, Donna Brogan, Sandra Eyres, and Wayne Lednar. "Basic Epidemiological Methods and Biostatistics: |
https://en.wikipedia.org/wiki/Orbit%20capacity | In mathematics, orbit capacity of a subset of a topological dynamical system may be thought of heuristically as a “topological dynamical probability measure” of the subset. More precisely, its value for a set is a tight upper bound for the normalized number of visits of orbits in this set.
Definition
A topological dynamical system consists of a compact Hausdorff topological space X and a homeomorphism . Let be a set. Lindenstrauss introduced the definition of orbit capacity:
Here, is the membership function for the set . That is if and is zero otherwise.
Properties
Obviously, one has . By convention, topological dynamical systems do not come equipped with a measure; the orbit capacity can be thought of as defining one, in a "natural" way. It is not a true measure, it is only sub-additive:
Orbit capacity is sub-additive:
For a closed set C,
where MT(X) is the collection of T-invariant probability measures on X.
Small sets
When , is called small. These sets occur in the definition of the small boundary property.
References
Topological dynamics |
https://en.wikipedia.org/wiki/L.%20Gustave%20du%20Pasquier | Louis-Gustave du Pasquier (18 August 1876, Auvernier – 31 January 1957, Cornaux) was a Swiss mathematician and historian of mathematics and mathematical sciences.
Education and career
Du Pasquier studied at l'École Polytechnique, the University of Zurich, La Sorbonne, the Collège de France, and the Collège Libre des Sciences Sociales. He received his doctorate in 1906 from the University of Zurich with dissertation Zahlentheorie der Tettarionen under the supervision of Adolf Hurwitz. Du Pasquier then taught at La Chaux-de-Fonds, Kusnacht, Frauenfeld, Winterthur, and Zurich before he became in 1911 a professor at the University of Neuchâtel. Du Pasquier wrote more than 60 articles published in scientific journals. He did research on number theory, probability theory, relativity theory, astronomy, and actuarial science. He edited the 7th volume of the collected works of Leonhard Euler.
Du Pasquier was an Invited Speaker of the ICM in 1920 at Strasbourg, in 1924 at Toronto, in 1928 at Bologna, and in 1932 at Zurich.
Books
as editor:
References
20th-century Swiss mathematicians
University of Zurich alumni
Academic staff of the University of Neuchâtel
Swiss historians of mathematics
People from Neuchâtel
1876 births
1957 deaths |
https://en.wikipedia.org/wiki/Elizabeth%20H.%20Slate | Elizabeth H. Slate is an American statistician, interested in the Bayesian statistics of longitudinal data and applications to health.
She is the Duncan McLean and Pearl Levine Fairweather Professor of Statistics at Florida State University. Some of Slate's most heavily cited work concerns the effects of selenium on cancer. Slate's research has also included work on the early detection of osteoarthritis.
Education and career
Slate majored in applied mathematics and computer science at Carnegie Mellon University (CMU), graduating in 1986. After earning a master's degree at CMU in statistics in 1988, she completed her Ph.D. there in 1991, under the supervision of Robert E. Kass; her dissertation was Reparameterization of Statistical Models.
She joined the School of Operations Research and Industrial Engineering at Cornell University in 1992, and moved to the department of Biostatistics, Bioinformatics and Epidemiology of the Medical University of South Carolina in 2000. In 2011 she moved again, to Florida State University, as Fairweather Professor.
Recognition
Slate became a Fellow of the American Statistical Association in 2007, and a Fellow of the Institute of Mathematical Statistics in 2023.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Carnegie Mellon University alumni
Cornell University faculty
Medical University of South Carolina faculty
Florida State University faculty
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics
Biostatisticians |
https://en.wikipedia.org/wiki/Small%20boundary%20property | In mathematics, the small boundary property is a property of certain topological dynamical systems. It is dynamical analog of the inductive definition of Lebesgue covering dimension zero.
Definition
Consider the category of topological dynamical system (system in short) consisting of a compact metric space and a homeomorphism . A set is called small if it has vanishing orbit capacity, i.e., . This is equivalent to: where denotes the collection of -invariant measures on .
The system is said to have the small boundary property (SBP) if has a basis of open sets whose boundaries are small, i.e., for all .
Can one always lower topological entropy?
Small sets were introduced by Michael Shub and Benjamin Weiss while investigating the question "can one always lower topological entropy?" Quoting from their article:
"For measure theoretic entropy, it is well known and quite easy to see that a positive entropy transformation always has factors of smaller entropy. Indeed the factor generated by a two-set partition with one of the sets having very small measure will always have small entropy. It is our purpose here to treat the analogous question for topological entropy... We will exclude the trivial factor, where it reduces to one point."
Recall that a system is called a factor of , alternatively is called an extension of , if there exists a continuous surjective mapping which is eqvuivariant, i.e. for all .
Thus Shub and Weiss asked: Given a system and , can one find a non-trivial factor so that ?
Recall that a system is called minimal if it has no proper non-empty closed -invariant subsets. It is called infinite if .
Lindenstrauss introduced SBP and proved:
Theorem: Let be an extension of an infinite minimal system. The following are equivalent:
has the small-boundary property.
, where denotes mean dimension.
For every , , there exists a factor so and .
where is an inverse limit of systems with finite topological entropy for all .
Later this theorem was generalized to the context of several commuting transformations by Gutman, Lindenstrauss and Tsukamoto.
Systems with no non-trivial finite entropy factors
Let and be the shift homeomorphism
This is the Baker's map, formulated as a two-sided shift. It can be shown that has no non-trivial finite entropy factors. One can also find minimal systems with the same property.
References
Topological dynamics |
https://en.wikipedia.org/wiki/Ann%20E.%20Watkins | Ann Esther Watkins is an American mathematician and statistician specializing in statistics education. She edited the College Mathematics Journal from 1989 to 1994, chaired the Advanced Placement Statistics Development Committee from 1997 to 1999, and was president of the Mathematical Association of America from 2001 to 2002.
Watkins is a professor of mathematics at California State University, Northridge (CSUN), her alma mater. She graduated from CSUN in 1970, and earned a master's degree there in 1972. She completed her Ph.D. in 1977 from the University of California, Los Angeles.
With Richard L. Scheaffer, she is the author of statistics textbooks including
Activity-Based Statistics,
Statistics: From Data to Decision,
and Statistics in Action: Understanding a World of Data.
She was elected as a fellow of the American Statistical Association in 1999 "for innovative contributions to curriculum and pedagogy; for masterful teaching, and teaching of teachers; and for an extraordinary record of sustained and successful efforts to institutionalize reform in statistics education." She won the United States Conference on Teaching Statistics Lifetime Achievement Award in 2015.
References
External links
Home page
Year of birth missing (living people)
Living people
20th-century American mathematicians
American statisticians
American women mathematicians
Women statisticians
California State University, Northridge alumni
University of California, Los Angeles alumni
California State University, Northridge faculty
Statistics educators
Fellows of the American Statistical Association
Presidents of the Mathematical Association of America
20th-century women mathematicians
21st-century American mathematicians
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Ernst%20Mauritz%20Dahlin | Ernst Mauritz Dahlin (1843–1929) was a Swedish mathematician who is known by his work on history of mathematics.
Life and work
Dahlin graduated from Östersund's Higher Elementary School in 1854, he studied at Uppsala Higher School in 1858–1859 and then again at Östersund's Higher School where he graduated from matriculation exam in 1867. He became a student at Uppsala University in 1869, Philosophy graduate in 1873 and PhD in 1875 with a thesis about the history of mathematics in Sweden before 1679.
In the same year, Dahlin was named lecturer in the history of mathematics at Uppsala University, but when the subject was considered too specific, he instead became lecturer in mathematics. However, he was not a prominent mathematician and lacked the prerequisites for the service. Prior to leaving the university, he had prepared a continuation of the history of Swedish mathematics after 1679. Instead, he became an extraordinary official in the Riksbank in 1876, and in the same year he was teacher at the prison at Långholmen.
Dahlin was the school principal at the prison in Malmö from 1877 to 1878, extra teacher in mathematics for the mechanical department at Malmö Navigation School from 1877 to 1903 and secretary at the prison assembly in Malmö from 1878 to 1913.
Dahlin's work was a pioneering work in Swedish mathematics history. He received the Uppsala's Philosophical Faculty Second Prize in 1875, became the Knight of the Order of Vasa in 1895 and received an Honorary Degree on Philosophy the same year.
References
Bibliography
External links
19th-century Swedish mathematicians
20th-century Swedish mathematicians
1843 births
1929 deaths |
https://en.wikipedia.org/wiki/List%20of%20Molde%20FK%20records%20and%20statistics | Molde FK is a Norwegian professional football club based in Molde, Møre og Romsdal. The club was founded as International in 1911. The club changed its name to Molde in 1915. Molde FK currently play in the Eliteserien, the top tier of Norwegian football. They have not been out of the top tier since 2007. They have been involved in European football several times since their first time in 1975. In 1999 Molde became the second Norwegian club to enter the UEFA Champions League.
This list encompasses the major honours won by Molde FK and records set by the club, their managers and their players. The player records section includes details of the club's leading goalscorers and those who have made most appearances in first-team competitions. It also records club's attendance records, both at Molde Idrettspark, their home until 1997 season, and Aker Stadion, their home from 1998 and forward.
The club's record appearance maker is Daniel Berg Hestad, who made 666 competitive appearances between 1993 and 2016, and the club's record goalscorer is Jan Fuglset, who scored 164 goals between 1963 and 1982.
Honours
Molde FK's first major trophy was the 1994 Norwegian Football Cup where Lyn were beaten 3–2 in the final. Their most recent trophy came in November 2022, when they won Eliteserien for the fifth time.
Domestic
League
Norwegian Top Flight: 5
Tippeligaen/Eliteserien (Level 1): 5
2011, 2012, 2014, 2019, 2022
2. divisjon/1. divisjon (Level 2): 3
2. divisjon (Level 2): 2
1973, 1983
1. divisjon (Level 2): 1
2007
Cup
Norwegian Football Cup: 5
1994, 2005, 2013, 2014, 2021
European performances
UEFA Champions League Group Stage: 1
1999–2000
UEFA Europa League Group Stage: 3
2012–13 (GS), 2015–16 (round of 32), 2020–21 (round of 16)
UEFA Europa Conference League Group Stage: 1
2022–23 (GS)
Players
All current players are bolded.
Appearances
Youngest first-team player: Sander Svendsen – (against Aalesund, Tippeligaen, 8 May 2013)
Oldest first-team player: Daniel Berg Hestad – (against Sevilla, Europa League, 25 February 2016)
Most consecutive League appearances: 139 – Morten Bakke, 12,510 minutes between 9 May 1996 – 8 July 2001
Most overall appearances
As of match played 13 November 2022. Competitive matches only.
Most appearances in the top flight
The following is a list of the ten Molde players with the most appearances in the top division.
Last updated: 13 November 2022
Most appearances in European Competitions
Appearances in UEFA Champions League, UEFA Europa League, UEFA Cup, UEFA Europa Conference League and UEFA Cup Winners' Cup are counted. Qualification games are included.
Last updated: 3 November 2022
Goalscorers
Most goals scored in all competitions: 174 – Jan Fuglset
Most goals in a season in all competitions: 39 – Andreas Lund, 1999
Most League goals in a season: 27
Ohi Omoijuanfo, Eliteserien (level 1), 2021
Top League scorer with fewest goals in a season: 4
Magne Hoseth, 2004
Bernt Hulsker, 2004
Thomas |
https://en.wikipedia.org/wiki/Matrix%20variate%20beta%20distribution | In statistics, the matrix variate beta distribution is a generalization of the beta distribution. If is a positive definite matrix with a matrix variate beta distribution, and are real parameters, we write (sometimes ). The probability density function for is:
Here is the multivariate beta function:
where is the multivariate gamma function given by
Theorems
Distribution of matrix inverse
If then the density of is given by
provided that and .
Orthogonal transform
If and is a constant orthogonal matrix, then
Also, if is a random orthogonal matrix which is independent of , then , distributed independently of .
If is any constant , matrix of rank , then has a generalized matrix variate beta distribution, specifically .
Partitioned matrix results
If and we partition as
where is and is , then defining the Schur complement as gives the following results:
is independent of
has an inverted matrix variate t distribution, specifically
Wishart results
Mitra proves the following theorem which illustrates a useful property of the matrix variate beta distribution. Suppose are independent Wishart matrices . Assume that is positive definite and that . If
where , then has a matrix variate beta distribution . In particular, is independent of .
See also
Matrix variate Dirichlet distribution
References
Random matrices
Multivariate continuous distributions |
https://en.wikipedia.org/wiki/Betsy%20Becker | Betsy Jane Becker is an American researcher on meta-analysis and educational psychometrics. She is the Mode L. Stone Distinguished Professor of Educational Statistics in the Department of Statistics at Florida State University, and previously served as the Chair of the Department of Educational Psychology and Learning Systems at Florida State. Becker is a co-author of a heavily cited consensus report on standards for meta-analysis in epidemiology.
In 1978, Becker completed both a bachelor's degree and master's degree in psychology at Johns Hopkins University. She earned a Ph.D. in education from the University of Chicago in 1985; her dissertation, supervised by Larry V. Hedges, was Applying Tests of Combined Significance: Hypotheses and Power Considerations. She joined the Michigan State University faculty as an instructor in 1983, in the Department of Educational Psychology and Special Education, and became a regular-rank faculty member on completing her Ph.D. in 1985. At Michigan State, she directed the Office of Research Consultation from 1983 to 1990. She moved to Florida State in 2004, and became the Mode L. Stone Distinguished Professor in 2009.
Becker has been a fellow of the American Statistical Association since 2008, and of the American Educational Research Association since 2013.
References
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
American women psychologists
21st-century American psychologists
Educational psychologists
Johns Hopkins University alumni
University of Chicago alumni
Michigan State University faculty
Florida State University faculty
Fellows of the American Statistical Association
American women academics
21st-century American women
Quantitative psychologists |
https://en.wikipedia.org/wiki/Ottawa%20Redblacks%20all-time%20records%20and%20statistics | The following is a list of Ottawa Redblacks all-time records and statistics current to the Canadian Football League (CFL)'s 2020 season. This list does not include the records for the Ottawa Rough Riders (1876 to 1996) or the Ottawa Renegades (2002 to 2006).
Grey Cups
Most Grey Cups Won, Player
1 - many players in 2016
Most Grey Cup Appearances, Player
2 - many players in 2015 & 2016
Most Grey Cups Won, Head Coach
1 - Rick Campbell
Most Grey Cup Appearances, Head Coach
2 - Rick Campbell
Coaching
Most Seasons Coached
6 - Rick Campbell
Most Games Coached
106 - Rick Campbell
Most Wins
44 - Rick Campbell
Most Losses
62 - Rick Campbell
Games
Most Games Played
93 – Antoine Pruneau
88 – Alex Mateas
85 – Brad Sinopoli
83 – Jon Gott
82 - Andrew Marshall
Most Seasons Played
6 - Antoine Pruneau
6 - Nolan MacMillan
6 - Nigel Romick
Scoring
Most Points – Career
420 – Trevor Harris
Most Points – Season
198 – Henry Burris - 2015
Most Points – Game
46 vs Hamilton - 2018 East semi final
Most Passing Touchdowns – Career
68 – Trevor Harris
Most Passing Touchdowns – Season
30 – Trevor Harris - 2017
Most Passing Touchdowns – Game
6 - Trevor Harris - 2018 East Final
6 - Henry Burris - 2015 Week 20
Most Rushing Touchdowns – Career
13 – Henry Burris
13 - William Powell
Most Rushing Touchdowns – Season
9 – Jeremiah Johnson - 2015
Most Rushing Touchdowns - Game
3 - Jeremiah Johnson - 2015 Week 10
Most Receiving Touchdowns – Career
30 – Greg Ellingson
Most Receiving Touchdowns – Season
12 – Greg Ellingson - 2017
Most Receiving Touchdown - Game
3 - Greg Ellingson - 2015 Week 20
3 - Chris Williams - 2016 Week 3
Most Interception Return Touchdowns – Career
1 – many players
Most Interception Return Touchdowns – Season
1 – many players
Passing
Most Passing Yards – Career
13,096 – Trevor Harris
11,786 – Henry Burris
Most Passing Yards – Season
5,693 – Henry Burris – 2015
5,116 – Trevor Harris – 2018
Most Passing Yards – Game
504 - Henry Burris - 2015 Week 15
Most Pass Completions – Career
1,071 - Trevor Harris
968 – Henry Burris
Most Pass Completions – Season
481 – Henry Burris – 2015
431 – Trevor Harris – 2018
Most Pass Completions – Game
45 - Henry Burris - 2015 Week 15
Highest Pass Completion Percentage – Career (Minimum 1000 attempts)
70.6 - Trevor Harris
66.8 – Henry Burris
Highest Pass Completion Percentage – Season
73.3 - Trevor Harris - 2016
70.9 - Henry Burris - 2015
Highest QB Passer Rating - Career
104.6 - Trevor Harris
92.4 - Henry Burris
Rushing
Most Rushing Yards – Career
2,835 – William Powell
Most Rushing Yards – Season
1,363 – William Powell - 2018
Most Rushing Yards – Game
187 – William Powell - 2017 Week 15
Receiving
Most Receiving Yards– Career
5,127 – Brad Sinopoli
4,866 – Greg Ellingson
2,460 – Chris Williams
Most Receiving Yards – Season
1,459 – Greg Ellingson - 2017
1,376 - Brad Sinopoli - 2018
1,260 - Greg Ellingson - 2016
1,246 - Chris Williams - 2016
Most Receiving Yards – Game
218 - Gr |
https://en.wikipedia.org/wiki/Ottawa%20Football%20Clubs%20all-time%20records%20and%20statistics | The following is a list of all-time records and statistics competed by Ottawa Football Clubs in the Canadian Football League and the preceding Interprovincial Rugby Football Union. As defined in the 2016 CFL's Facts, Figures, and Records, for historical record purposes and by the current Ottawa Redblacks' request, the Ottawa Football Clubs are considered to be a single entity since 1876 with two periods of inactivity (1997–2001 and 2006–2013). Consequently, this list includes figures from the Ottawa Football Club (1876–1898), Ottawa Rough Riders (1899–1925, 1931–1996), Ottawa Senators (1926–1930), Ottawa Renegades (2002–2005), and Ottawa Redblacks (2014–present).
These figures are current to the 2023 CFL season and are for regular season games only. Each category lists the top five players, where known, except for when the fifth place player is tied in which case all players with the same number are listed.
Games played
Most Games Played
201 – Moe Racine (1958–74)
186 – Gerry Organ (1971–77, 79–83)
169 – Bob Simpson (1950–62)
167 – Ron Stewart (1958–70)
166 – Russ Jackson (1958–69)
Most Seasons Played
22 – Eddie Emerson (1912–15, 19–35, 37)
17 – Moe Racine (1958–74)
13 – Joe Tubman (1919–31)
13 – Bob Simpson (1950–62)
13 – Ron Stewart (1958–70)
Scoring
Most Points – Career
1462 – Gerry Organ (1971–77, 79–83)
841 – Dean Dorsey (1984–87, 89–90)
772 – Terry Baker (1990–95)
591 – Lewis Ward (2018–19, 2021–22)
402 – Ron Stewart (1958–70)
Most Points – Season
202 – Terry Baker – 1991
198 – Lawrence Tynes – 2003
184 – Terry Baker – 1992
178 – Terry Baker – 1994
178 – Christopher Milo – 2016
Most Points – Game
24 – Dave Thelen – versus Toronto Argonauts, September 16, 1959
24 – Ron Stewart – at Montreal Alouettes, October 10, 1960
24 – Art Green – versus Hamilton Tiger-Cats, September 7, 1975
24 – Dean Dorsey – versus Saskatchewan Roughriders, September 24, 1989
Most Touchdowns – Career
70 – Bob Simpson (1950–62)
67 – Ron Stewart (1958–70)
59 – Tony Gabriel (1975–81)
55 – Russ Jackson (1958–69)
54 – Whit Tucker (1962–70)
Most Touchdowns – Season
18 – Alvin Walker – 1982
16 – Ron Stewart – 1960
16 – Caleb Evans – 2022
15 – Art Green – 1976
14 – Vic Washington – 1969
14 – Art Green – 1975
14 – Tony Gabriel – 1976
Most Touchdowns – Game
4 – Ken Charlton – versus Hamilton Tigers, November 9, 1946
4 – Dave Thelen – versus Toronto Argonauts, September 16, 1959
4 – Ron Stewart – at Montreal Alouettes, October 10, 1960
4 – Art Green – versus Hamilton Tiger-Cats, September 7, 1975
Most Receiving Touchdowns – Career
65 – Bob Simpson (1950–62)
61 – Tony Gabriel (1975–81)
54 – Whit Tucker (1962–70)
34 – Stephen Jones (1990–94)
33 – Hugh Oldham (1970–74)
Most Receiving Touchdowns – Season
14 – Tony Gabriel – 1976
13 – Whit Tucker – 1968
13 – Hugh Oldham – 1970
12 – David Williams – 1990
12 – Greg Ellingson – 2017
Most Receiving Touchdowns – Game
3 – Many, most recently Chris Williams – versus Calgary Stampeders, July 8, 2016
Most Rushing Touchdowns |
https://en.wikipedia.org/wiki/Ir%C3%A8ne%20Gijbels | Irène Gijbels is a mathematical statistician at KU Leuven in Belgium, and an expert on nonparametric statistics.
She has also collaborated with TopSportLab, a KU Leuven spin-off, on software for risk assessment of sports injuries.
Education and career
Gijbels earned her Ph.D. in 1990 from Limburgs Universitair Centrum. Her dissertation, supervised by Noël Veraverbeke, was Asymptotic Representations under Random Censoring.
She joined KU Leuven after postdoctoral research as a Fulbright scholar at the University of North Carolina at Chapel Hill and the Mathematical Sciences Research Institute.
Book
With Jianqing Fan, Gijbels is the author of Local Polynomial Modelling and Its Applications (CRC Press, 1996).
Recognition
Gijbels is an elected member of the International Statistical Institute and the Royal Flemish Academy of Belgium for Science and the Arts, and a fellow of the American Statistical Association and the Institute of Mathematical Statistics.
References
External links
Year of birth missing (living people)
Living people
Belgian statisticians
Belgian mathematicians
Women statisticians
Belgian women mathematicians
Academic staff of KU Leuven
Elected Members of the International Statistical Institute
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics |
https://en.wikipedia.org/wiki/IMA%20Journal%20of%20Applied%20Mathematics | The IMA Journal of Applied Mathematics is a publication of Oxford University Press on behalf of the Institute of Mathematics and its Applications. Created in 1965, the Journal covers topics related to the application of mathematics.
References
External links
Journal homepage
Submission website
Institute of Mathematics and its Applications
Oxford University Press academic journals
Mathematics journals
Academic journals established in 1965
Bimonthly journals
Hybrid open access journals |
https://en.wikipedia.org/wiki/List%20of%20railway%20stations%20in%20Ukraine | This is a list of railway stations in Ukraine.
Busiest stations
This is a list of the top 10 busiest railway stations in Ukraine, based on statistics and data received on the year of 2018. The data include only passengers of long-distance trains.
A
Ambary
Amur
Armiansk railway station
B
Balta
Baraboi
Batovo
Bila Krynytsia
Brovary
Bucha
Bystra
C
Chop
Chornyi Ostriv
Chortkiv
D
Dachne
Darnytsia
Dnipro-Holovnyi
Donetsk
Dubove
Dzhankoi railway station
F
Fastiv I
Fastiv II
Fedorivka
H
Hannivka
Hirnyk
Holendry
Hornostaivka
Horodok
I
Ivanivka
Ivano-Frankivsk
Izvaryne
K
Kalush
Kalynivka
Karavaievi Dachi
Karpaty
Kazanka
Kerch railway station
Kharkiv-Pasazhirskyi
Khorol
Korolivka
Korsun
Kosari
Kovel
Kozhanka
Krasne
Kryvyi Rih-Holovnyi
Kuchurhan
Kyiv-Pasazhyrskyi
L
Larga
Lozova
Lubny
Luhansk
Lviv
Lviv Suburban
Lyman
M
Mahala
Marianivka
Melitopol-Pas
Mena
Motovylivka
Mykolaivka
N
Nikopol
Novooleksiivka
Novoselivka
O
Odesa
Oleksandrivka
Ozeriany
Ozernyi
Ozhydiv-Olesko
P
Pidzamche
Poltava-Kyivska
Poltava-Pivdenna
Port Krym railway station
Protasiv Yar
S
Sevastopol railway station
Shabo
Shepetivka
Shevchenko
Sil
Simferopol
Sofiivka
Solovka
Stavchany
Sula
Sumy-Tovarna
Syrovatka
T
Tropa
Turka
U
Uhryniv
Ukrainka
Ukrainska
Ushytsia
Uzhhorod
V
Vadul-Siret
Veselyi Podil
Yevpatoria railway station
Vladislavovka railway station
Vorokhta
Y
Yampil
Yaniv
References
Railway stations
Railway stations
Ukraine |
https://en.wikipedia.org/wiki/Annie%20Selden | Annie Laurer Alexander Selden is an expert in mathematics education. She is a professor emeritus at Tennessee Technological University, and an adjunct professor at New Mexico State University. She was one of the original founders of the Association for Women in Mathematics in 1971.
Education
Born as Annie Louise Laurer, she graduated from Oberlin College in 1959,
learned to program computers in a summer job at IBM in Endicott, New York,
and traveled to the University of Göttingen to study mathematics as a Fulbright scholar.
With the support of the Woodrow Wilson Foundation,
she earned a master's degree from Yale University in 1962.
Delayed by marriage and two children,
she completed her Ph.D. from Clarkson University in 1974.
She published her dissertation, Bisimple ω-semigroups in the locally compact setting, under the name Annie Laurer Alexander.
It was supervised by John Selden Jr., whom she later married as her second husband.
Career
Although Selden originally intended to be a research mathematician, the job market at the time of her graduation led her to teach abroad, and the experience of teaching mathematics to non-native English speakers led her to become interested in mathematics education.
She taught at the State University of New York at Potsdam, Hampden–Sydney College, Boğaziçi University in Turkey, and Bayero University Kano in Nigeria, before joining Tennessee Technological University in 1985. She retired and moved to New Mexico in 2003.
Awards and honors
In 2002, Selden was the winner of the Louise Hay Award of the Association for Women in Mathematics,
and the AWM/MAA Falconer Lecturer.
She was elected as a fellow of the American Association for the Advancement of Science in 2003.
The Annie and John Selden Prize of the Mathematical Association of America is named after Selden and her husband.
References
External links
Year of birth missing (living people)
Living people
21st-century American mathematicians
Women mathematicians
Mathematics educators
Oberlin College alumni
Yale University alumni
Clarkson University alumni
State University of New York at Potsdam faculty
Hampden–Sydney College faculty
Academic staff of Boğaziçi University
Academic staff of Bayero University Kano
Tennessee Technological University
Fellows of the American Association for the Advancement of Science
20th-century American mathematicians
Fulbright alumni |
https://en.wikipedia.org/wiki/Carol%20K.%20Redmond | Carol K. Redmond is an American biostatistician known for her research on breast cancer. She is Distinguished Service Professor Emerita in the Department of Biostatistics at the University of Pittsburgh.
Redmond graduated from Waynesburg College in 1962, with a bachelor's degree in mathematics. She completed a master's degree in 1963 and a doctorate in 1966 in biostatistics from the University of Pittsburgh. She remained at Pittsburgh as a faculty member, and chaired the department from 1983 to 1996, when she took a second adjunct position in the Department of Biometry and Epidemiology at the Medical University of South Carolina. In 1997 she became Distinguished Service Professor of Public Health at Pittsburgh, and from 1997 to 2002 she served as a vice dean, first for faculty and later for academic affairs. She retired in 2012.
In 1994, a breast cancer study led by Redmond and Bernard Fisher came under fire after it was discovered that another researcher in the study, Roger Poisson, had falsified data. Fisher determined that the remaining data supported the study results, but he was removed from the directorship of the project, and Redmond was placed on leave from her professorship. By 1997, the United States Office of Research Integrity agreed that both Fisher and Redmond should be held blameless, and Redmond returned to her position.
Redmond became a fellow of the American Statistical Association and of the American College of Epidemiology in 1982. She was elected as a fellow of the American Association for the Advancement of Science in 2005, and of the Society for Clinical Trials in 2013.
References
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Biostatisticians
Waynesburg University alumni
University of Pittsburgh alumni
University of Pittsburgh faculty
Medical University of South Carolina faculty
Fellows of the American Association for the Advancement of Science
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/IMA%20Journal%20of%20Mathematical%20Control%20and%20Information | The IMA Journal of Mathematical Control and Information is published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. The Journal publishes articles in control and information theory which aim to develop solutions for unsolved problems in the field.
External links
Journal homepage
Submission website
Institute of Mathematics and its Applications
References
Mathematics journals
Oxford University Press academic journals |
https://en.wikipedia.org/wiki/Mathematical%20Medicine%20and%20Biology | Mathematical Medicine and Biology is an academic journal published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. The Journal publishes articles addressing topics in medicine and biology with mathematical content.
Impact factor
Mathematical Medicine and Biology received an impact factor of 1.854 in 2020.
Editors
The editors-in-chief are Oliver E. Jensen (University of Manchester), John R. King (University of Nottingham), and James P. Keener (University of Utah).
References
External links
Journal homepage
Submission website
Institute of Mathematics and its Applications
Editorial Board
Mathematical and theoretical biology journals |
https://en.wikipedia.org/wiki/Matrix%20variate%20Dirichlet%20distribution | In statistics, the matrix variate Dirichlet distribution is a generalization of the matrix variate beta distribution and of the Dirichlet distribution.
Suppose are positive definite matrices with also positive-definite, where is the identity matrix. Then we say that the have a matrix variate Dirichlet distribution, , if their joint probability density function is
where and is the multivariate beta function.
If we write then the PDF takes the simpler form
on the understanding that .
Theorems
generalization of chi square-Dirichlet result
Suppose are independently distributed Wishart positive definite matrices. Then, defining (where is the sum of the matrices and is any reasonable factorization of ), we have
Marginal distribution
If , and if , then:
Conditional distribution
Also, with the same notation as above, the density of is given by
where we write .
partitioned distribution
Suppose and suppose that is a partition of (that is, and if ). Then, writing and (with ), we have:
partitions
Suppose . Define
where is and is . Writing the Schur complement we have
and
See also
Inverse Dirichlet distribution
References
A. K. Gupta and D. K. Nagar 1999. "Matrix variate distributions". Chapman and Hall.
Probability distributions |
https://en.wikipedia.org/wiki/Inverse%20Dirichlet%20distribution | In statistics, the inverse Dirichlet distribution is a derivation of the matrix variate Dirichlet distribution. It is related to the inverse Wishart distribution.
Suppose are positive definite matrices with a matrix variate Dirichlet distribution, . Then have an inverse Dirichlet distribution, written . Their joint probability density function is given by
References
A. K. Gupta and D. K. Nagar 1999. "Matrix variate distributions". Chapman and Hall.
Probability distributions |
https://en.wikipedia.org/wiki/Rosemary%20Roberts | Rosemary A. Roberts is a statistics educator who led the creation of the AP Statistics course and exam for US secondary school students, and who later chaired the Statistical Education Section of the American Statistical Association.
Educated in England and Canada, she spent many years working in the US before her 2013 retirement.
Roberts earned a bachelor's degree in England, at the University of Reading. She completed her Ph.D. in statistics at the University of Waterloo. She joined the mathematics department at Bowdoin College in 1984, retired in 2013, and is now a professor emeritus there.
In 1987, with Tom Moore of Grinnell College, she co-founded the Statistics in the Liberal Arts Workshop (SLAW), an annual meeting of statisticians at liberal arts colleges held every summer at Grinnell.
With Ann E. Watkins, Chris Olsen, and Richard Scheaffer,
She is the coauthor of The Teacher's Guide for AP Statistics (The College Board, 1997).
Roberts was elected as a Fellow of the American Statistical Association in 1997.
References
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Statistics educators
Alumni of the University of Reading
University of Waterloo alumni
Bowdoin College faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Fatima%20Batul%20Mukhtar | Fatima Batul Mukhtar is a Nigerian academician, a professor of botany and the current Vice Chancellor of Azman University Kano. Her research interest are centered on "growth regulation, biostatistics, biotechnology and plant conservation". she was appointed Vice Chancellor of Federal University Dutse by President Muhammadu Buhari. she served between 2016 and 2021.
Early life and education
Fatima was born on 23 May 1963 in Kano Municipal Local Government Area of Kano State. She attended Shahuchi Primary School and Shekara Girls Boarding Primary School, she also attended Government Girls College, Dala. She obtained 1st degree in Botany from Ahmadu Bello University in 1984, she also obtained 2nd and 3rd degree from Bayero University in 1994 and 2005 respectively. She enrolled in an Agricultural biotechnology course in Michigan State University in 2012.
Career
Fatima started her career in 1994 at Bayero University Kano as Assistant Lecturer up to professor of Botany in 2010 she held some responsibilities form Level Coordinator to Head of the Plant Science Department
She is the member of Northwest University, Kano one of the founding academic administrators at Northwest University Kano, and was the Dean Faculty of science and also the Deputy Vice Chancellor of Northwest University Kano in 2015,. where she chaired ICT Committee, Hospital Revolving Fund Committee, and Budget Monitoring and Performance Committee.
Fatima become the 2nd the Vice-Chancellor Federal University Dutse who was appointed by President Muhammad Buhari on 14 February 2016.
On August 30, 2023, Azman University made a significant announcement by appointing Fatima Batul Mukhtar as its inaugural Vice Chancellor. This appointment marks a historic moment as she becomes both the first individual and the first woman to assume the university's highest leadership position.
References
External links
Bayero University profile
1963 births
Living people
Nigerian women academics
Ahmadu Bello University alumni
Bayero University Kano alumni
People from Kano
Vice-Chancellors of Nigerian universities
21st-century botanists
Nigerian women botanists
Nigerian biologists |
https://en.wikipedia.org/wiki/Cristina%20Parel | Cristina Perlas Parel (died April 10, 2011) was a Filipina statistician, the first Filipino to earn a doctorate in statistics, the former dean of the Statistical Center at the University of the Philippines, and at the time of her death the only professor emeritus of statistics at the University of the Philippines.
She was president of the Philippine Statistical Association in 1966 and 1969, the first female president of the association.
Biography
Parel earned a B.S.E. from the University of the Philippines. She completed a master's degree in 1949 and a doctorate in 1958 from the University of Michigan; her dissertation, supervised by Paul S. Dwyer, was A Matrix Derivation of Generalized Least Squares Linear Regression with All Variables Subject to Error. She worked at the Statistical Center of the University of the Philippines from 1958 to 1984, and served as dean from 1969 to 1984.
Honors and awards
In 1971, Parel was elected as a Fellow of the American Statistical Association.
She was one of five people designated in 1999 as "Pillars of the Philippine Statistical System". She was presented with a plaque of recognition by the Philippine National Statistical Coordination Board in 2007.
References
Year of birth missing
2011 deaths
20th-century Filipino mathematicians
Women statisticians
University of the Philippines alumni
University of Michigan alumni
Academic staff of the University of the Philippines
Fellows of the American Statistical Association
20th-century women mathematicians
Filipino statisticians |
https://en.wikipedia.org/wiki/Frobenius%20reciprocity | In mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and inducting. It can be used to leverage knowledge about representations of a subgroup to find and classify representations of "large" groups that contain them. It is named for Ferdinand Georg Frobenius, the inventor of the representation theory of finite groups.
Statement
Character theory
The theorem was originally stated in terms of character theory. Let be a finite group with a subgroup , let denote the restriction of a character, or more generally, class function of to , and let denote the induced class function of a given class function on . For any finite group , there is an inner product on the vector space of class functions (described in detail in the article Schur orthogonality relations). Now, for any class functions and , the following equality holds:
In other words, and are Hermitian adjoint.
Let and be class functions.
Proof. Every class function can be written as a linear combination of irreducible characters. As is a bilinear form, we can, without loss of generality, assume and to be characters of irreducible representations of in and of in respectively.
We define for all Then we have
In the course of this sequence of equations we used only the definition of induction on class functions and the properties of characters.
Alternative proof. In terms of the group algebra, i.e. by the alternative description of the induced representation, the Frobenius reciprocity is a special case of a general equation for a change of rings:
This equation is by definition equivalent to [how?]
As this bilinear form tallies the bilinear form on the corresponding characters, the theorem follows without calculation.
Module theory
As explained in the section Representation theory of finite groups#Representations, modules and the convolution algebra, the theory of the representations of a group over a field is, in a certain sense, equivalent to the theory of modules over the group algebra []. Therefore, there is a corresponding Frobenius reciprocity theorem for []-modules.
Let be a group with subgroup , let be an -module, and let be a -module. In the language of module theory, the induced module corresponds to the induced representation , whereas the restriction of scalars corresponds to the restriction . Accordingly, the statement is as follows: The following sets of module homomorphisms are in bijective correspondence:
.
As noted below in the section on category theory, this result applies to modules over all rings, not just modules over group algebras.
Category theory
Let be a group with a subgroup , and let be defined as above. For any group and field let denote the category of linear representations of over . There is a forgetful functor
This functor acts as the identity on morphisms. There is a functor going in the opposite direction:
These functors |
https://en.wikipedia.org/wiki/Geometric%20constraint%20solving | Geometric constraint solving is constraint satisfaction in a computational geometry setting, which has primary applications in computer aided design. A problem to be solved consists of a given set of geometric elements and a description of geometric constraints between the elements, which could be non-parametric (tangency, horizontality, coaxiality, etc) or parametric (like distance, angle, radius). The goal is to find the positions of geometric elements in 2D or 3D space that satisfy the given constraints, which is done by dedicated software components called geometric constraint solvers.
Geometric constraint solving became an integral part of CAD systems in the 80s, when Pro/Engineer first introduced a novel concept of feature-based parametric modeling concept.
There are additional problems of geometric constraint solving that are related to sets of geometric elements and constraints: dynamic moving of given elements keeping all constraints satisfied, detection of over- and under-constrained sets and subsets, auto-constraining of under-constrained problems, etc.
Methods
A general scheme of geometric constraint solving consists of modeling a set of geometric elements and constraints by a system of equations, and then solving this system by non-linear algebraic solver. For the sake of performance, a number of decomposition techniques could be used in order to decrease the size of an equation set: decomposition-recombination planning algorithms, tree decomposition, C-tree decomposition, graph reduction, re-parametrization and reduction, computing fundamental circuits, body-and-cad structure, or the witness configuration method.
Some other methods and approaches include the degrees of freedom analysis, symbolic computations, rule-based computations, constraint programming and constraint propagation, and genetic algorithms.
Non-linear equation systems are mostly solved by iterative methods that resolve the linear problem at each iteration, the Newton-Raphson method being the most popular example.
Applications
Geometric constraint solving has applications in a wide variety of fields, such as computer aided design, mechanical engineering, inverse kinematics and robotics, architecture and construction, molecular chemistry, and geometric theorem proving. The primary application area is computer aided design, where geometric constraint solving is used in both parametric history-based modeling and variational direct modeling.
Software implementations
The list of geometric constraint solvers includes at least
DCM (Dimensional Constraint Manager), a commercial solver from D-Cubed (subsidiary of Siemens PLM Software), integrated in AutoCAD, SolidWorks, Creo, and many other popular CAD systems;
LGS, a commercial solver developed by LEDAS and currently owned by Bricsys, integrated in Cimatron E and BricsCAD;
C3D Solver, a commercially available solver which is a part of C3D Toolkit, integrated into KOMPAS-3D;
GeoSolver, a GNU Public License P |
https://en.wikipedia.org/wiki/Envelope%20%28category%20theory%29 | In :Category theory and related fields of mathematics, an envelope is a construction that generalizes the operations of "exterior completion", like completion of a locally convex space, or Stone–Čech compactification of a topological space. A dual construction is called refinement.
Definition
Suppose is a category, an object in , and and two classes of morphisms in . The definition of an envelope of in the class with respect to the class consists of two steps.
A morphism in is called an extension of the object in the class of morphisms with respect to the class of morphisms , if , and for any morphism from the class there exists a unique morphism in such that .
An extension of the object in the class of morphisms with respect to the class of morphisms is called an envelope of in with respect to , if for any other extension (of in with respect to ) there is a unique morphism in such that . The object is also called an envelope of in with respect to .
Notations:
In a special case when is a class of all morphisms whose ranges belong to a given class of objects in it is convenient to replace with in the notations (and in the terms):
Similarly, if is a class of all morphisms whose ranges belong to a given class of objects in it is convenient to replace with in the notations (and in the terms):
For example, one can speak about an envelope of in the class of objects with respect to the class of objects :
Nets of epimorphisms and functoriality
Suppose that to each object in a category it is assigned a subset in the class
of all epimorphisms of the category , going from , and the following three requirements are fulfilled:
for each object the set is non-empty and is directed to the left with respect to the pre-order inherited from
for each object the covariant system of morphisms generated by
has a colimit in , called the local limit in ;
for each morphism and for each element there are an element and a morphism such that
Then the family of sets is called a net of epimorphisms in the category .
Examples.
For each locally convex topological vector space and for each closed convex balanced neighbourhood of zero let us consider its kernel and the quotient space endowed with the normed topology with the unit ball , and let be the completion of (obviously, is a Banach space, and it is called the quotient Banach space of by ). The system of natural mappings is a net of epimorphisms in the category of locally convex topological vector spaces.
For each locally convex topological algebra and for each submultiplicative closed convex balanced neighbourhood of zero ,
,
let us again consider its kernel and the quotient algebra endowed with the normed topology with the unit ball , and let be the completion of (obviously, is a Banach algebra, and it is called the quotient Banach algebra of by ). The system of natural mappings is a net of epimorphisms in the |
https://en.wikipedia.org/wiki/Douglas%20Mineiro | Douglas Starnley Ferreira (born 11 February 1993), commonly known as Douglas Mineiro, is a Brazilian footballer who currently plays as a forward.
Career statistics
Club
Notes
Honour
Nongbua Pitchaya
Thai League 2 Champions : 2020–21
References
1993 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
Uruguayan Primera División players
Moldovan Super Liga players
Danish 1st Division players
Danish 2nd Division players
Danish Superliga players
Atenas de San Carlos players
Sociedade Esportiva Recreativa e Cultural Brasil players
Esporte Clube Pelotas players
FC Zimbru Chișinău players
FC Helsingør players
Brazilian expatriate sportspeople in Uruguay
Brazilian expatriate sportspeople in Moldova
Brazilian expatriate sportspeople in Denmark
Expatriate men's footballers in Uruguay
Expatriate men's footballers in Moldova
Expatriate men's footballers in Denmark |
https://en.wikipedia.org/wiki/%C3%87a%C4%9Fkan%20%C3%87ak%C4%B1r | Çağkan Çakır (born 28 January 1995), is a Turkish footballer who plays as a midfielder, most recently for İnegölspor.
Career statistics
Club
Notes
References
External links
Çağkan Çakir at TFF
1995 births
Living people
Turkish men's footballers
Turkish expatriate men's footballers
Men's association football midfielders
Moldovan Super Liga players
TFF Second League players
FC Zimbru Chișinău players
İnegölspor footballers
Expatriate men's footballers in Moldova
Turkish expatriate sportspeople in Moldova
Sportspeople from Antalya |
https://en.wikipedia.org/wiki/Kevin%20Ford%20%28mathematician%29 | Kevin B. Ford (born 22 December 1967) is an American mathematician working in analytic number theory.
Education and career
He has been a professor in the department of mathematics of the University of Illinois at Urbana-Champaign since 2001. Prior to this appointment, he was a faculty member at the University of South Carolina.
Ford received a Bachelor of Science in Computer Science and Mathematics in 1990 from the California State University, Chico. He then attended the University of Illinois at Urbana-Champaign, where he completed his doctoral studies in 1994 under the supervision of Heini Halberstam.
Research
Ford's early work focused on the distribution of Euler's totient function. In 1998, he published a paper that studied in detail the range of this function and established that Carmichael's totient function conjecture is true for all integers up to .
In 1999, he settled Sierpinski’s conjecture.
In August 2014, Kevin Ford, in collaboration with Green, Konyagin and Tao, resolved a longstanding conjecture of Erdős on large gaps between primes, also proven independently by James Maynard.
The five mathematicians were awarded for their work the largest Erdős prize ($10,000) ever offered.
In 2017, they improved their results in a joint paper.
He is one of the namesakes of the Erdős–Tenenbaum–Ford constant, named for his work using it in estimating the number of small integers that have divisors in a given interval.
Recognition
In 2013, he became a fellow of the American Mathematical Society.
References
20th-century American mathematicians
21st-century American mathematicians
1967 births
Living people
Number theorists
University of Illinois Urbana-Champaign faculty
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/Catherine%20Yan | Catherine Huafei Yan () is a professor of mathematics at Texas A&M University interested in algebraic combinatorics.
Education and career
Yan earned a bachelor's degree from Peking University in 1993.
She was a student of Gian-Carlo Rota at the Massachusetts Institute of Technology, where she earned her Ph.D. in 1997 with a dissertation on The Theory of Commuting Boolean Algebras.
After working for two years as a Courant Instructor at New York University, she joined Texas A&M in 1999, with a three-year hiatus as Chern Professor at the Center of Combinatorics, Nankai University, from 2005 to 2008.
Book
With her advisor and Joseph Kung, she is an author of Combinatorics: The Rota Way (Cambridge University Press, 2009). The book provides an exposition of the areas of combinatorics of interest to Rota, unified through an algebraic framework, and lists many open research problems in this area.
Recognition
Yan won a Sloan Research Fellowship in 2001.
She was elected to the 2018 class of fellows of the American Mathematical Society "for contributions to combinatorics and discrete geometry".
References
External links
Home page
Year of birth missing (living people)
Living people
21st-century American mathematicians
Chinese women mathematicians
Combinatorialists
International Mathematical Olympiad participants
High School Affiliated to Renmin University of China alumni
Peking University alumni
Massachusetts Institute of Technology School of Science alumni
New York University faculty
Texas A&M University faculty
Academic staff of Nankai University
Sloan Research Fellows
Fellows of the American Mathematical Society
Place of birth missing (living people)
Nationality missing
21st-century women mathematicians |
https://en.wikipedia.org/wiki/Sarah%20Witherspoon | Sarah Jane Witherspoon is an American mathematician interested in topics in abstract algebra, including Hochschild cohomology and quantum groups.
She is a professor of mathematics at Texas A&M University
Education
Witherspoon graduated from Arizona State University in 1988, where she earned the Charles Wexler Mathematics Prize as the best mathematics student at ASU that year.
She went on to graduate study in mathematics at the University of Chicago, and completed her Ph.D. in 1994. Her dissertation, supervised by Jonathan Lazare Alperin, was The Representation Ring of the Quantum Double of a Finite Group.
Career
Witherspoon taught at the University of Toronto from 1994 to 1998.
After holding visiting assistant professorships at
Mills College, the University of Wisconsin–Madison,
Mount Holyoke College, the University of Massachusetts Amherst, and
Amherst College, she joined the Texas A&M faculty in 2004.
Honors and awards
She was elected to the 2018 class of fellows of the American Mathematical Society, "for contributions to representation theory and cohomology of Hopf algebras, quantum groups, and related objects, and for service to the profession and mentoring". She was named MSRI Simons Professor for Spring 2020.
Selected publications
References
External links
Home page
Year of birth missing (living people)
Living people
21st-century American mathematicians
American women mathematicians
Arizona State University alumni
University of Chicago alumni
Academic staff of the University of Toronto
Mills College faculty
University of Wisconsin–Madison faculty
Mount Holyoke College faculty
University of Massachusetts Amherst faculty
Amherst College faculty
Texas A&M University faculty
Fellows of the American Mathematical Society
21st-century women mathematicians
21st-century American women |
https://en.wikipedia.org/wiki/Kavita%20Ramanan | Kavita Ramanan is a probability theorist who works as a professor of applied mathematics at Brown University.
Education and career
Ramanan was born in Chennai, Tamil Nadu, India to Anuradha Ramanan and algebraic geometer S. Ramanan. Ramanan earned a bachelor's degree in chemical engineering at the Indian Institute of Technology Bombay in 1992. She completed her Ph.D. in applied mathematics at Brown University in 1996. Her dissertation, supervised by Paul Dupuis, was Construction and Large Deviation Analysis of Constrained Processes, with Applications to Communication Networks.
After postdoctoral studies at the Technion, she worked at Bell Labs from 1997 to 2002, and as a faculty member in mathematical sciences at Carnegie Mellon University from 2002 to 2009. She returned to Brown as a faculty member in 2010.
Recognition
Ramanan won the Erlang Prize of the Applied Probability Society of INFORMS in 2006.
She was elected as a fellow of the Institute of Mathematical Statistics in 2013,
and elected to the 2018 class of fellows of the American Mathematical Society
and the Institute for Operations Research and the Management Sciences.
She gave the 2015 Medallion lecture for the Institute of Mathematical Statistics, on "Infinite-dimensional scaling limits of stochastic networks". In 2019, Ramanan was elected fellow of the American Association for the Advancement of Science (AAAS). In 2020 she was elected a fellow of the Society for Industrial and Applied Mathematics with the citation "Kavita Ramanan, Brown University, is being recognized for contributions to constrained and reflected processes and stochastic networks."
She received a Guggenheim Fellowship in 2020. She was elected to the American Academy of Arts and Sciences in 2021. She was awarded a Distinguished Research Achievement Award from Brown University in 2021, and she was named to the Department of Defense's Class of 2021 Vannevar Bush Faculty Fellows. She was appointed Senior Scholar at the Clay Mathematics Institute January-June 2022.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
21st-century American mathematicians
Indian statisticians
Indian women mathematicians
Women statisticians
IIT Bombay alumni
Brown University alumni
Carnegie Mellon University faculty
Brown University faculty
Fellows of the American Mathematical Society
Fellows of the Institute of Mathematical Statistics
Fellows of the Institute for Operations Research and the Management Sciences
Fellows of the Society for Industrial and Applied Mathematics
Fellows of the American Academy of Arts and Sciences
21st-century Indian mathematicians
21st-century women mathematicians |
https://en.wikipedia.org/wiki/Estelle%20Basor | Estelle Lucille Basor (born 1947) is an American mathematician interested in operator theory and the theory of random matrices.
She is professor emeritus of mathematics at the California Polytechnic State University (Cal Poly), and deputy director of the American Institute of Mathematics.
Education and career
Basor earned a bachelor's degree in mathematics from the University of California, Santa Cruz in 1969, and completed a Ph.D. there in 1975.
Her dissertation, supervised by Harold Widom, was Asymptotic Formulas for Toeplitz Determinants.
She joined the Cal Poly faculty in 1976, and taught there until retiring in 2008.
She served as an American Mathematical Society Council member at large from 2011 to 2013.
Recognition
At Cal Poly, she was the 2005 winner of the Distinguished Research, Creative Activity and Professional Development Award, and a colloquium in her honor was held in 2006.
She was elected to the 2018 class of fellows of the American Mathematical Society.
Personal life
Basor's husband, Kent E. Morrison, is also a mathematician who went to school with her at Santa Cruz, worked with her at Cal Poly, and is now associated with the American Institute of Mathematics.
References
External links
Home page
Place of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
University of California, Santa Cruz alumni
California Polytechnic State University faculty
Fellows of the American Mathematical Society
20th-century women mathematicians
1947 births
21st-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Tahina%20Razafindramary | Tahinaharinoro "Tahina" Razafindramary is an educationalist and former teacher from Madagascar.
Razafindramary started her career as a high school mathematics teacher in the south of the country, before joining the planning department of Madagascar's Ministry of Education.
In 2005, Razafindramary was the director of DPEFST.
Razafindramary has been responsible for the Global Partnership for Education (GPE), with support from UNICEF, in several countries in Africa, including Djibouti, and the Central African Republic. In 2015, she was GPE's country director for the Central African Republic. She is the country lead for Djibouti.
Razafindramary is GPE's country lead for the Central Africa Republic, Benin, Djibouti, Democratic Republic of Congo, Mauritania, Niger, Guinea-Bissau, and Togo.
In respect of GPE and a report from the World Bank, "Djibouti Needs to Build and Expand on Achievements to Educate the Next Generation", Razafindramary has commented, "What’s most remarkable about this program, is that out-of-school children, particularly those living in remote areas as well as children living with physical impairments will be able to access and complete primary and junior secondary school." Djibouti has made "significant progress", particularly compared to neighbouring Somalia and Eritrea, both of which have substantially levels of school enrollment, but is still unlikely to meet its Millennium Development Goals.
References
Living people
Malagasy activists
Malagasy women
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/H%C3%A9l%C3%A8ne%20Barcelo | Hélène Barcelo (born 1954) is a mathematician from Québec specializing in algebraic combinatorics. Within that field, her interests include combinatorial representation theory, homotopy theory, and arrangements of hyperplanes.
She is a professor emeritus of mathematics at Arizona State University, and deputy director of the Mathematical Sciences Research Institute (MSRI). She was editor-in-chief of the Journal of Combinatorial Theory, Series A, from 2001 to 2009.
Education and career
Barcelo completed her Ph.D. from the University of California, San Diego in 1988. Her dissertation, On the Action of the Symmetric Group on the Free Lie Algebra and on the Homology and Cohomology of the Partition Lattice, was supervised by Adriano Garsia.
She joined the Arizona State faculty after postdoctoral studies at the University of Michigan. She retired from Arizona State, becoming a professor emerita there, and became deputy director at MSRI in 2008.
Recognition
From 2012-2014, Barcelo served as a Council Member at Large for the American Mathematical Society. She was elected to the 2018 class of fellows of the American Mathematical Society,
to the 2019 class of fellows of the Association for Women in Mathematics,
and to the 2021 class of Fellows of the American Association for the Advancement of Science.
References
External links
Home page
1954 births
Living people
20th-century American mathematicians
21st-century American mathematicians
20th-century Canadian mathematicians
21st-century Canadian mathematicians
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Fellows of the American Mathematical Society
Fellows of the Association for Women in Mathematics
Fellows of the American Association for the Advancement of Science
Canadian expatriate academics in the United States
University of Michigan people
20th-century women mathematicians
21st-century women mathematicians
Academic journal editors
20th-century American women academics
21st-century American women scientists
20th-century Canadian women scientists |
https://en.wikipedia.org/wiki/Hao%20Helen%20Zhang | Hao Helen Zhang is a Chinese statistician. She is a professor at the University of Arizona, in the Department of Mathematics, Statistics Interdisciplinary Program, and Applied Mathematics Interdisciplinary Program there. With Bertrand Clarke and Ernest Fokoué, she is the author of the book Principles and Theory for Data Mining and Machine Learning.
Zhang earned a bachelor's degree in mathematics in 1996 from Peking University. She completed her Ph.D. in statistics in 2002 from the University of Wisconsin–Madison. Her dissertation, supervised by Grace Wahba, was Nonparametric Variable Selection and Model Building Via Likelihood Basis Pursuit. She joined the Department of Statistics at North Carolina State University in 2002, and moved to Arizona in 2011.
Zhang was elected to the International Statistical Institute and as a fellow of the American Statistical Association in 2015. She became a fellow in the Institute of Mathematical Statistics in 2016, and has been selected as the 2019 Medallion Lecturer of the Institute of Mathematical Statistics.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Chinese statisticians
Women statisticians
Peking University alumni
University of Wisconsin–Madison College of Letters and Science alumni
North Carolina State University faculty
University of Arizona faculty
Elected Members of the International Statistical Institute
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics |
https://en.wikipedia.org/wiki/Rachel%20Justine%20Pries | Rachel Justine Pries is an American mathematician whose research focuses on arithmetic geometry and number theory. She is a professor at Colorado State University and both a Fellow of the American Mathematical Society and a Fellow of the Association for Women in Mathematics.
Education
Pries was a student at the Cambridge Rindge and Latin School, in Cambridge, Massachusetts. She received a B.S. degree from Brown University in Providence, Rhode Island in 1994, and received a Ph.D. in mathematics from the University of Pennsylvania in Philadelphia, Pennsylvania in 2000 under the supervision of David Harbater.
Career and research
After her doctoral studies, Pries was appointed a National Science Foundation VIGRE post-doctoral fellow at Columbia University for 2000 to 2003. After her post-doc at Columbia, Rachel joined the faculty at Colorado State University, Fort Collins, Colorado, where she is currently a full professor.
In one of her most cited works, Families of wildly ramified covers of curves, Pries studied smooth Galois covers of curves, ramified over only one point. In a second highly cited paper, Hyperelliptic curves with prescribed p-torsion, Pries and co-author Darren Glass, proved several results regarding the existence of Jacobian varieties having interesting p-torsion as measured in terms of invariants such as the p-rank and the a-number.
Pries serves on the Steering Committee of Women in Number Theory (WIN), a research collaboration community for women mathematicians interested in number theory. She was an editor of Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop (Association for Women in Mathematics Series), which was published by Springer Verlag in 2016.
Honors
Pries was elected to the 2018 class of fellows of the American Mathematical Society. Her citation read "for contributions to arithmetic geometry, and for service to the mathematical community." Pries was selected as the inaugural lecturer in the Association for Women in Mathematics Distinguished Lecture Series at the University of Oregon, Eugene, Oregon, in 2013. In 2004, Pries was selected as Outstanding Professor in Graduate Instruction by the mathematics graduate students of Colorado State University Pries was elected to the 2023 class of fellows of the Association for Women in Mathematics "for supporting the research careers of women through mentorship and advocacy; for her vision and hard work establishing the Women in Numbers workshops and research network; and for broadening the participation of women in mathematics through service and leadership both at her institution and in high-profile national and international programs."
References
External links
Rachel Pries' website
Dr. Rachel Pries - Number Theory (2017 video)
Living people
20th-century American mathematicians
21st-century American mathematicians
University of Pennsylvania alumni
Fellows of the American Mathematical Society
American women mathematicians
Number theorists
Year o |
https://en.wikipedia.org/wiki/Faith%20M.%20Williams | Faith Moors Williams (1893–1958) was an American economist who became Director of the Office of Foreign Labor Conditions in the Bureau of Labor Statistics.
Williams graduated from Wellesley College in 1915,
and earned a Ph.D. in economics from Columbia University in 1924. Her doctoral dissertation was The Food Manufacturing Industries in New York and its Environs: Present Trends and Probable Future Developments.
She then worked on rural nutrition as an assistant professor in the College of Home Economics at Cornell University, and assisted with the economic components of the Middletown studies.
Next, Williams became a senior economist in the Bureau of Home Economics. There, with Carle C. Zimmerman of Harvard University, she coordinated a massive survey of international home living conditions and expenses, published in 1935 as Studies of Family Living in the United States and Other Countries: An Analysis of Material and Method.
Later, at the Bureau of Labor Statistics, with Aryness Joy Wickens and Stella Stewart, Williams became one of the primary people in charge of the BLS cost-of-living index, later to become the United States Consumer Price Index.
Williams' husband was demographer Frank Lorimer, who had studied at Columbia at approximately the same time as she did. They had two children.
In 1946, Williams was elected as a Fellow of the American Statistical Association, two years after her husband attained the same honor.
References
1893 births
1958 deaths
American women economists
Wellesley College alumni
Columbia Graduate School of Arts and Sciences alumni
Cornell University faculty
Fellows of the American Statistical Association
20th-century American women scientists
20th-century American economists
Home economists
Bureau of Labor Statistics |
https://en.wikipedia.org/wiki/Rongwei%20Fu | Rongwei (Rochelle) F. Fu is a biostatistician who uses meta-analysis to understand disease incidence, detection, and treatment.
She is a professor of biostatistics, medical informatics and clinical epidemiology at the Oregon Health & Science University (OHSU), and the director of biostatistics education at OHSU.
She has also worked as lead biostatistician for the OHSU Center for Policy and Research in Emergency Medicine (CPR-EM), at the Pacific Northwest Evidence-based Practice Center (EPC), and at the OHSU Research Center for Gender-Based Medicine.
After earning a master's degree at Shandong Normal University in Jinan, China, in 1995, Fu came to the US for additional graduate study. She earned two doctorates at the University of Connecticut, one in plant science in 2000 and a second one in statistics in 2003. Her second dissertation, supervised by Dipak K. Dey, was Probabilistic Structure and Statistical Inference for Nonexplicit Population Models and Allele Frequency.
She was elected as a Fellow of the American Statistical Association in 2017.
References
Year of birth missing (living people)
Living people
American statisticians
Chinese statisticians
Women statisticians
Shandong Normal University alumni
University of Connecticut alumni
Oregon Health & Science University faculty
Fellows of the American Statistical Association
American women mathematicians
Chinese women mathematicians
Chinese emigrants to the United States
21st-century American women |
https://en.wikipedia.org/wiki/Sue%20Khim | Sue Khim is an American education entrepreneur. She is the co-founder and current CEO of Brilliant.org, an educational platform and online community that features problems and courses in mathematics, physics, quantitative finance, and computer science. She also co-founded edtech start-up Alltuition, which helped students find low-cost college loans and assisted with financial aid forms. In 2012, she was named one of Forbes' 30 Under 30 in education.
Career
Originally from South Korea, Khim immigrated with her family to the United States when she was a baby. She grew up in Chicago and attended public schools.
After studying mathematics for 3 years, Khim left the University of Chicago to start her own company, Alltuition, which sought to simplify the process of obtaining financial aid for students. Khim co-founded Alltuition with 2 others and raised a seed round of funding. Eventually, Khim and company received venture funding and decided to work on something else to expand education for students, which led to the creation of Brilliant.org.
The Alltuition team became Brilliant in October 2012. Brilliant has grown to be an online community of over 4 million users where people learn math and science from each other.
References
Living people
Year of birth missing (living people)
American chief executives of education-related organizations
American women chief executives
American people of South Korean descent
American women company founders
American company founders
21st-century American women |
https://en.wikipedia.org/wiki/Rodrigo%20Rivas | Rodrigo Rivas Gonzalez (born 11 April 1997) is a Colombian footballer currently playing as a forward for Ecuadorian club Orense .
Career statistics
Club
Notes
References
1997 births
Living people
Footballers from Chocó Department
Colombian men's footballers
Men's association football forwards
Cypriot First Division players
Doxa Katokopias FC players
Anagennisi Deryneia FC players
Croatian Football League players
NK Rudeš players
Segunda División B players
Tercera División players
Deportivo Alavés B players
Amurrio Club footballers
CD Marino players
Colombian expatriate men's footballers
Colombian expatriate sportspeople in Cyprus
Colombian expatriate sportspeople in Croatia
Colombian expatriate sportspeople in Spain
Expatriate men's footballers in Cyprus
Expatriate men's footballers in Croatia
Expatriate men's footballers in Spain |
https://en.wikipedia.org/wiki/Antonella%20Grassi | Antonella Grassi is an Italian mathematician specializing in algebraic geometry and string theory. She is a Fellow of the American Mathematical Society.
Education
Grassi received her Ph.D. from Duke University under the supervision of David R. Morrison. Her dissertation was entitled "Minimal Models of Elliptic Threefolds."
Career and Service
Grassi is currently Professor of Mathematics at the University of Pennsylvania in Philadelphia, Pennsylvania. She has supervised two doctoral students, one at the University of Pennsylvania and the other at Università di Torino in Torino. She is an active participant in Women in Math at the University of Pennsylvania.
Grassi has been a leader and mentor in the Institute for Advanced Study Program for Women in Mathematics; in particular, she organized the 2007 program on Algebraic Geometry and Group Actions.
Honors
Grassi was elected to the 2018 class of fellows of the American Mathematical Society. Her citation read "For contributions to algebraic geometry and mathematical physics, and for leadership in mentoring programs."
References
20th-century American mathematicians
21st-century American mathematicians
Living people
Duke University alumni
Fellows of the American Mathematical Society
American women mathematicians
University of Pennsylvania faculty
Mathematicians at the University of Pennsylvania
20th-century women mathematicians
21st-century women mathematicians
Year of birth missing (living people)
Place of birth missing (living people)
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Jimmy%20Raymond | James Jacob Raymond (born 26 April 1996) is a Malaysian footballer currently playing as a defender for Kuching City.
Career statistics
Club
Notes
References
1996 births
Living people
Malaysian men's footballers
Men's association football defenders
Malaysia Super League players
Sarawak FA players
Kuching City F.C. players
Footballers from Sarawak |
https://en.wikipedia.org/wiki/Maarten%20van%20der%20Want | Maarten van der Want (born 15 January 1995) is a Dutch footballer who plays as a goalkeeper for Italian club Olbia.
Career statistics
Club
Notes
References
External links
1995 births
Living people
Footballers from Delft
Dutch men's footballers
Men's association football goalkeepers
ADO Den Haag players
Serie C players
Serie D players
Virtus Entella players
Olbia Calcio 1905 players
Dutch expatriate men's footballers
Dutch expatriate sportspeople in Italy
Expatriate men's footballers in Italy |
https://en.wikipedia.org/wiki/Neuman%E2%80%93S%C3%A1ndor%20mean | In mathematics of special functions, the Neuman–Sándor mean M, of two positive and unequal numbers a and b, is defined as:
This mean interpolates the inequality of the unweighted arithmetic mean A = (a + b)/2) and of the second Seiffert mean T defined as:
so that A < M < T.
The M(a,b) mean, introduced by Edward Neuman and József Sándor, has recently been the subject of intensive research and many remarkable inequalities for this mean can be found in the literature. Several authors obtained sharp and optimal bounds for the Neuman–Sándor mean. Neuman and others utilized this mean to study other bivariate means and inequalities.
See also
Mean
Arithmetic mean
Geometric mean
Stolarsky mean
Identric mean
Means in Mathematical Analysis
References
Means
Special functions |
https://en.wikipedia.org/wiki/Complex%20Wishart%20distribution | In statistics, the complex Wishart distribution is a complex version of the Wishart distribution. It is the distribution of times the sample Hermitian covariance matrix of zero-mean independent Gaussian random variables. It has support for Hermitian positive definite matrices.
The complex Wishart distribution is the density of a complex-valued sample covariance matrix. Let
where each is an independent column p-vector of random complex Gaussian zero-mean samples and is an Hermitian (complex conjugate) transpose. If the covariance of G is then
where is the complex central Wishart distribution with n degrees of freedom and mean value, or scale matrix, M.
where
is the complex multivariate Gamma function.
Using the trace rotation rule we also get
which is quite close to the complex multivariate pdf of G itself. The elements of G conventionally have circular symmetry such that .
Inverse Complex Wishart
The distribution of the inverse complex Wishart distribution of according to Goodman, Shaman is
where .
If derived via a matrix inversion mapping, the result depends on the complex Jacobian determinant
Goodman and others discuss such complex Jacobians.
Eigenvalues
The probability distribution of the eigenvalues of the complex Hermitian Wishart distribution are given by, for example, James and Edelman. For a matrix with degrees of freedom we have
where
Note however that Edelman uses the "mathematical" definition of a complex normal variable where iid X and Y each have unit variance and the variance of . For the definition more common in engineering circles, with X and Y each having 0.5 variance, the eigenvalues are reduced by a factor of 2.
While this expression gives little insight, there are approximations for marginal eigenvalue distributions. From Edelman we have that if S is a sample from the complex Wishart distribution with such that
then in the limit the distribution of eigenvalues converges in probability to the Marchenko–Pastur distribution function
This distribution becomes identical to the real Wishart case, by replacing by , on account of the doubled sample variance, so in the case , the pdf reduces to the real Wishart one:
A special case is
or, if a Var(Z) = 1 convention is used then
.
The Wigner semicircle distribution arises by making the change of variable in the latter and selecting the sign of y randomly yielding pdf
In place of the definition of the Wishart sample matrix above, , we can define a Gaussian ensemble
such that S is the matrix product . The real non-negative eigenvalues of S are then the modulus-squared singular values of the ensemble and the moduli of the latter have a quarter-circle distribution.
In the case such that then is rank deficient with at least null eigenvalues. However the singular values of are invariant under transposition so, redefining , then has a complex Wishart distribution, has full rank almost certainly, and eigenvalue distributions can be ob |
https://en.wikipedia.org/wiki/Jennifer%20A.%20Hoeting | Jennifer Ann Hoeting is an American statistician known for her work with Adrian Raftery, David Madigan, and others on Bayesian model averaging. She is a professor of statistics at Colorado State University, and executive editor of the open-access journal Advances in Statistical Climatology, Meteorology and Oceanography, published by Copernicus Publications. With Geof H. Givens, a colleague at Colorado State, she is the author of Computational Statistics (Wiley, 2005; 2nd ed., 2013), a graduate textbook on computational methods in statistics.
Education and career
Hoeting graduated from the University of Michigan in 1988, majoring in statistics and psychology, and completed her Ph.D. in statistics in 1994 from the University of Washington. Her dissertation, jointly supervised by David Madigan and Adrian Raftery, was Accounting for Model Uncertainty in Linear Regression. She joined the Colorado State faculty in 1994. In 2011, she chaired the Section of Statistics and the Environment of the American Statistical Association.
Awards and honors
In 2013, Hoeting was elected as a Fellow of the American Statistical Association. In 2015 she was selected to give the Professor Laureate Lecture of the College of Natural Sciences at Colorado State,
and won the Distinguished Achievement Medal of the Section of Statistics and the Environment of the American Statistical Association.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
University of Michigan College of Literature, Science, and the Arts alumni
University of Washington alumni
Colorado State University faculty
Fellows of the American Statistical Association
Computational statisticians |
https://en.wikipedia.org/wiki/Laura%20Guggenb%C3%BChl | Laura Guggenbühl (November 18, 1901 – March 8, 1985) was an American mathematician, one of the earliest women in the U.S. to earn a Ph.D. in mathematics, known for her work in triangle geometry and the history of mathematics.
Life
Guggenbühl was born in New York City, to a family of Swiss immigrants; her father, a butcher and baker, died by 1920. She graduated from Hunter College in 1922 with a bachelor's degree in mathematics, after also taking some classes at Columbia University and New York University. She became an instructor at Hunter College while earning a master's degree and Ph.D. from Bryn Mawr College in 1924 and 1926 respectively. Her dissertation, supervised by Anna Johnson Pell Wheeler, was An Integral Equation with an Associated Integral Condition. She became a regular-rank faculty member at Hunter College in 1932 and retired from there as an associate professor in 1972.
She died on a round-the-world cruise, shortly after leaving Hong Kong, after being overcome with grief at the recent death of her brother.
Contributions
Although not active in research mathematics after her doctorate, Guggenbühl represented Hunter College at many offerings of the International Congress of Mathematicians. She
also published several works on the history of mathematics, including biographies of Henri Brocard and Karl Wilhelm Feuerbach, on elementary geometry including triangle geometry, and on the Rhind mathematical papyrus.
Works
1927: An Integral Equation with an Associated Integral Condition from Google Books
1953: "Henry Brocard and the Geometry of the Triangle", Mathematical Gazette 37: 241 to 3
1964: "The New York Fragments of the Rhind Mathematical Papyrus", The Mathematics Teacher 57(6): 406–10 JSTOR
1965: "Mathematics in Ancient Egypt: A checklist (1930 to 1965)", The Mathematics Teacher 58(7): 630-34 JSTOR
1973: "Rereading Rhind" (book review) Isis 64: 533,4
References
1901 births
1985 deaths
20th-century American mathematicians
American women mathematicians
American historians of mathematics
Hunter College alumni
Bryn Mawr College alumni
Hunter College faculty
20th-century women mathematicians
20th-century American women |
https://en.wikipedia.org/wiki/Almost%20sure%20hypothesis%20testing | In statistics, almost sure hypothesis testing or a.s. hypothesis testing utilizes almost sure convergence in order to determine the validity of a statistical hypothesis with probability one. This is to say that whenever the null hypothesis is true, then an a.s. hypothesis test will fail to reject the null hypothesis w.p. 1 for all sufficiently large samples. Similarly, whenever the alternative hypothesis is true, then an a.s. hypothesis test will reject the null hypothesis with probability one, for all sufficiently large samples. Along similar lines, an a.s. confidence interval eventually contains the parameter of interest with probability 1. Dembo and Peres (1994) proved the existence of almost sure hypothesis tests.
Description
For simplicity, assume we have a sequence of independent and identically distributed normal random variables, , with mean , and unit variance. Suppose that nature or simulation has chosen the true mean to be , then the probability distribution function of the mean, , is given by
where an Iverson bracket has been used. A naïve approach to estimating this distribution function would be to replace true mean on the right hand side with an estimate such as the sample mean, , but
which means the approximation to the true distribution function will be off by 0.5 at the true mean. However, is nothing more than a one-sided 50% confidence interval; more generally, let be the critical value used in a one-sided confidence interval, then
If we set , then the error of the approximation is reduced from 0.5 to 0.05, which is a factor of 10. Of course, if we let , then
However, this only shows that the expectation is close to the limiting value. Naaman (2016) showed that setting the significance level at with results in a finite number of type I and type II errors w.p.1 under fairly mild regularity conditions. This means that for each , there exists an , such that for all ,
where the equality holds w.p. 1. So the indicator function of a one-sided a.s. confidence interval is a good approximation to the true distribution function.
Applications
Optional stopping
For example, suppose a researcher performed an experiment with a sample size of 10 and found no statistically significant result. Then suppose she decided to add one more observation, and retest continuing this process until a significant result was found. Under this scenario, given the initial batch of 10 observations resulted in an insignificant result, the probability that the experiment will be stopped at some finite sample size, , can be bounded using Boole's inequality
where . This compares favorably with fixed significance level testing which has a finite stopping time with probability one; however, this bound will not be meaningful for all sequences of significance level, as the above sum can be greater than one (setting would be one example). But even using that bandwidth, if the testing was done in batches of 10, then
which resul |
https://en.wikipedia.org/wiki/Japan%20Statistical%20Society | The is a learned society in Japan. The Society's objective is "To promote research and education in the area of statistics, and to contribute to the progress of statistical sciences". JSS was founded in 1931. Its membership consists of researchers, teachers, and professional statisticians in many different fields.
of Nihon University is the president (term ends June 2021) and of the Institute of Statistical Mathematics is the director-general (term ends June 2021).
JSS publications include Journal of the Japan Statistical Society (English series, biannual), Journal of the Japan Statistical Society (Japanese series, biannual), a quarterly newsletter, and JSS Research Series in Statistics.
JSS is an affiliate of the International Statistical Institute.
See also
Statistics Bureau (Japan)
Notes
External links
The Japan Statistical Society (JSS website)
Journal of the Japan Statistical Society (J-STAGE)
Learned societies of Japan
Statistical organizations |
https://en.wikipedia.org/wiki/Jane%20Worcester | Jane Worcester (died 8 October 1989) was a biostatistician and epidemiologist who became the second tenured female professor, after Martha May Eliot, and the first female chair of biostatistics in the Harvard School of Public Health.
Worcester graduated from Smith College in 1931, with a bachelor's degree in mathematics, and was hired by Harvard biostatistician Edwin B. Wilson to become a human computer at Harvard.
They continued to work together on theoretical research in biostatistics until Wilson retired as chair of the department in 1945, eventually publishing 27 papers together. Worcester completed a Ph.D. in epidemiology at Harvard under Wilson's supervision in 1947; her dissertation was The Epidemiology of Streptococcal and Non-Streptococcal Respiratory Disease.
She joined the Harvard faculty, was granted tenure in 1962,
and served as chair from 1973 to 1977, when she retired.
She became a Fellow of the American Statistical Association in 1960. In 1968, Smith College awarded her an honorary doctorate.
References
Year of birth missing
1989 deaths
American statisticians
Women statisticians
Smith College alumni
Harvard T.H. Chan School of Public Health alumni
Harvard T.H. Chan School of Public Health faculty |
https://en.wikipedia.org/wiki/Deborah%20A.%20Nolan | Deborah A. Nolan is an American statistician and statistics educator. She is a professor of statistics at the University of California, Berkeley, where she chairs the department of statistics.
Education and career
Nolan graduated from Vassar College in 1977; she gained her first experience in statistics in a summer job at Vassar, doing statistical analyses for author Caroline Bird.
After graduating, she began working as an applications programmer for IBM.
Needing to learn more statistics for her work, she studied at Columbia University for a year, and then entered full-time graduate study in statistics at Yale University.
At Yale, the applied side of her research included work confirming the logarithmic spiral shape of snail shells.
Her dissertation, supervised by David Pollard, concerned central limit theorems, and was titled U-Processes.
She completed her Ph.D. in 1986, and became a faculty member at Berkeley in the same year, the first new female regular-rank faculty member in the department since Elizabeth Scott in 1951.
Books
Nolan is the author of several statistics books:
Stat Labs: Mathematical Statistics Through Applications (with Terry Speed, Springer, 2000)
Teaching Statistics: A Bag of Tricks (with Andrew Gelman, Oxford University Press, 2002)
XML and Web Technologies for Data Sciences with R (with Duncan Temple Lang, Springer, 2014)
Data Science in R: A Case Studies Approach to Computational Reasoning and Problem Solving (with Duncan Temple Lang, CRC Press, 2015)
Recognition
She is a fellow of the American Statistical Association and of the Institute of Mathematical Statistics.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Statistics educators
Vassar College alumni
Yale University alumni
University of California, Berkeley faculty
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics
Computational statisticians |
https://en.wikipedia.org/wiki/Dongmun%20Hwangmok%20clan | The Dongmun Hwangmok clan () is a Korean clan. According to the census held by the statistics agency, five members are confirmed. Hwangmok clan’s word came from Araki (surname) () in Japan. was one of the main members.
See also
Korean clan names of foreign origin
Urok Kim clan
Hambak Kim clan
Mangjeol
Hwasun Song clan
Songjin Jeup clan
References
External links
Korean-language surnames
Korean clans of Japanese origin |
https://en.wikipedia.org/wiki/Marion%20Elizabeth%20Stark | Marion Elizabeth Stark (23 Aug 1894 – 15 April 1982) was an American mathematician. She was one of the first women to receive a Ph.D. in mathematics.
Education and career
She got her A.B. in 1916, and her A.M. in 1917, both from Brown University. In 1917, she became the professor of mathematics Meredith College in Raleigh, North Carolina. In autumn 1919, she started teaching in Wellesley College as a part-time instructor, while attending courses of Helen Abbot Merrill and Mabel M. Young. In the 1923 summer quarter, and, supported by a fellowship, in autumn 1924 through summer 1925, she studied at the University of Chicago where she received her Ph.D. in 1926.
In 1927, she was appointed assistant professor of mathematics at Wellesley, in 1936, she was promoted to an associate professor there. In 1945, she was promoted to a professorship; in 1946, she became Chairman of the Department. In 1960, she retired from Wellesley after 40 years, her last rank being a Lewis Atterbury Stimson Professor of Mathematics.
Recognition
Stark was named a Fellow of the American Association for the Advancement of Science in 1938.
References
1894 births
1982 deaths
20th-century American mathematicians
American women mathematicians
Brown University alumni
Meredith College faculty
Wellesley College faculty
20th-century women mathematicians
20th-century American women
Fellows of the American Association for the Advancement of Science |
https://en.wikipedia.org/wiki/Erin%20Blankenship | Erin E. Blankenship is an American statistician interested in nonlinear models and environmental statistics, and known for her work in statistics education. She is a professor of statistics at the University of Nebraska–Lincoln.
Recognition
Blankenship is the 2013 winner of the Mu Sigma Rho William D. Warde Statistical Education Award, and in 2015 was elected as a Fellow of the American Statistical Association "for innovation and leadership in K-12 teacher development; for excellence in teaching, mentoring, and inspiring future teachers, teaching assistants, and statistics education researchers; and for interdisciplinary collaboration and service to the profession". In 2017, she was one of two winners of the highest teaching honor of the University of Nebraska system, the Outstanding Teaching and Instructional Creativity Award.
Education and research directions
Blankenship did her graduate studies at North Carolina State University, and credits an early female NCSU statistics professor, Gertrude Mary Cox, as a source of inspiration. Blankenship states that went into statistics because of its teamwork, and because, she says, "You’re applying science to find real solutions to real problems". Initially a research statistician, she gained her interest in statistics education after earning tenure at Nebraska.
References
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Statistics educators
North Carolina State University alumni
University of Nebraska–Lincoln faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Gertrude%20Bancroft | Gertrude Bancroft McNally (December 23, 1908 – January 28, 1985) was an American economist who was chief of the economic statistics section of the United States Census Bureau until 1951, later associated with the Social Science Research Council,
and special assistant to the commissioner of the Bureau of Labor Statistics.
Bancroft earned a master's degree in economics in 1934 from the University of Pennsylvania with a thesis on The effect of the War of 1812 on price relations in Philadelphia.
In 1958 she published the book The American Labor Force: Its Growth and Changing Composition (Wiley).
This book, part of the Census Monograph Series produced by the Social Science Research Council in cooperation with the Census Bureau, analyzes the results of the 1950 United States Census and associated data to measure the growth and makeup of workers and unemployed people within the US,
and discover patterns of change in which kinds of people were working and what they did between 1940 and 1950.
In 1962, she was honored by the American Statistical Association by election as one of their Fellows for "distinguished service to the field of labor force statistics both in the development of objectively measurable concepts and in the promotion of public understanding of the uses and limitations of labor force data".
References
1908 births
1985 deaths
20th-century American economists
American women economists
University of Pennsylvania School of Arts and Sciences alumni
Fellows of the American Statistical Association
United States Census Bureau people
American economics writers
Place of birth missing
Place of death missing
20th-century American women academics |
https://en.wikipedia.org/wiki/Relative%20likelihood | In statistics, when selecting a statistical model for given data, the relative likelihood compares the relative plausibilities of different candidate models or of different values of a parameter of a single model.
Relative likelihood of parameter values
Assume that we are given some data for which we have a statistical model with parameter . Suppose that the maximum likelihood estimate for is . Relative plausibilities of other values may be found by comparing the likelihoods of those other values with the likelihood of . The relative likelihood of is defined to be
where denotes the likelihood function. Thus, the relative likelihood is the likelihood ratio with fixed denominator .
The function
is the relative likelihood function.
Likelihood region
A likelihood region is the set of all values of whose relative likelihood is greater than or equal to a given threshold. In terms of percentages, a % likelihood region for is defined to be.
If is a single real parameter, a % likelihood region will usually comprise an interval of real values. If the region does comprise an interval, then it is called a likelihood interval.
Likelihood intervals, and more generally likelihood regions, are used for interval estimation within likelihood-based statistics ("likelihoodist" statistics): They are similar to confidence intervals in frequentist statistics and credible intervals in Bayesian statistics. Likelihood intervals are interpreted directly in terms of relative likelihood, not in terms of coverage probability (frequentism) or posterior probability (Bayesianism).
Given a model, likelihood intervals can be compared to confidence intervals. If is a single real parameter, then under certain conditions, a 14.65% likelihood interval (about 1:7 likelihood) for will be the same as a 95% confidence interval (19/20 coverage probability). In a slightly different formulation suited to the use of log-likelihoods (see Wilks' theorem), the test statistic is twice the difference in log-likelihoods and the probability distribution of the test statistic is approximately a chi-squared distribution with degrees-of-freedom (df) equal to the difference in df-s between the two models (therefore, the −2 likelihood interval is the same as the 0.954 confidence interval; assuming difference in df-s to be 1).
Relative likelihood of models
The definition of relative likelihood can be generalized to compare different statistical models. This generalization is based on AIC (Akaike information criterion), or sometimes AICc (Akaike Information Criterion with correction).
Suppose that for some given data we have two statistical models, and . Also suppose that . Then the relative likelihood of with respect to is defined as follows.
To see that this is a generalization of the earlier definition, suppose that we have some model with a (possibly multivariate) parameter . Then for any , set , and also set . The general definition now gives the same result as the earlier def |
https://en.wikipedia.org/wiki/Judy%20Green%20%28mathematician%29 | Judith (Judy) Green (born 1943) is an American logician and historian of mathematics who studies women in mathematics. She is a founding member of the Association for Women in Mathematics; she has also served as its vice president, and as the vice president of the American Association of University Professors.
Education and career
Green earned her bachelor's degree at Cornell University.
She completed a master's degree at Yale University,
and a Ph.D. at the University of Maryland, College Park.
Her dissertation, supervised by Carol Karp and finished in 1972, was
Consistency Properties for Uncountable Finite-Quantifier Languages.
Green was elected an AMS Member at Large in 1975 and served for three years until 1977. She belonged to the faculty of Rutgers University before moving to Marymount University in 1989. After retiring from Marymount in 2007, she became a volunteer at the National Museum of American History.
Book
With Jeanne LaDuke, she wrote Pioneering Women in American Mathematics: The Pre-1940 PhD’s (American Mathematical Society and London Mathematical Society, 2009). This was a biographical study of the first women in the U.S. to earn doctorates in mathematics.
Recognition
She is part of the 2019 class of fellows of the Association for Women in Mathematics.
References
1943 births
Place of birth missing (living people)
Living people
20th-century American mathematicians
American women mathematicians
Mathematical logicians
Women logicians
American historians of mathematics
Cornell University alumni
Yale University alumni
University of Maryland, College Park alumni
Rutgers University faculty
Marymount University faculty
Fellows of the Association for Women in Mathematics
20th-century women mathematicians
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Jeanne%20LaDuke | Alice Jeanne LaDuke (born June 27, 1938) is an American mathematician who specialized in mathematical analysis and the history of mathematics. She was also a child actress who appeared in one film (The Green Promise).
Early life and film career
LaDuke was raised on a farm in Posey County, in southwest Indiana. Her parents were college-educated and an aunt who taught mathematics in Chicago frequently visited, bringing mathematics puzzles for LaDuke.
As a child, she was cast from a field of 12,000 4-H members to play a small part in The Green Promise (1948) as farm girl Jessie Wexford, the sister of Natalie Wood's character's love interest. Wood and LaDuke shared a tutor who taught them both string games as well as their school curriculum.
Education
LaDuke studied mathematics at DePauw University in the 1950s, and roomed with another mathematics major from Oregon, who showed her the state on summer camping trips.
She earned a master's degree in mathematics, but was unable to obtain a teaching position with it because the schools she applied to only hired men. She returned to Oregon in 1966 as a doctoral student at the University of Oregon, and completed her Ph.D. in 1969 with a dissertation in mathematical analysis supervised by Kenneth A. Ross on Ep Space: Essentially a Product of Cp Spaces.
Mathematics career
After completing her doctorate, LaDuke spent the following thirty years as a faculty member of the department of mathematical sciences at DePaul University. She retired in 2003.
With Judy Green, she is the author of Pioneering Women in American Mathematics: The Pre-1940 PhD’s (American Mathematical Society and London Mathematical Society, 2009). An annual lecture series on Women in Mathematics, Science, and Technology at DePaul is named after her.
References
External links
1938 births
Living people
People from Posey County, Indiana
American child actresses
20th-century American mathematicians
American women mathematicians
Mathematical analysts
American historians of mathematics
DePauw University alumni
University of Oregon alumni
DePaul University faculty
20th-century women mathematicians |
https://en.wikipedia.org/wiki/Susan%20Halabi | Susan Halabi is a professor of biostatistics and bioinformatics at Duke University, known for her research on prostate cancer.
As a member of the data safety monitoring board for a study of the anti-prostate cancer effects of abiraterone acetate (Zytiga), she argued that stopping the study early had prevented the study from accurately determining the effectiveness of the drug, and possibly made it appear to be more effective than it actually was. She also took part in a study showing that, when prostate cancer has reached the point of spreading to other parts of the body, the parts that it spreads to can be used to predict the survival rate from the disease.
Halabi earned her Ph.D. in biometry from the University of Texas Health Science Center at Houston in 1994, and joined the Duke faculty in 1996. She grew up in a family of engineers in Lebanon, where she was one of the first students in the undergraduate biostatistics program at the American University of Beirut. She was named a fellow of the Society for Clinical Trials in 2014, "for her outstanding leadership in cancer clinical trials and prognostic development, ... educational activities, and for dedicated service on national review committees, DSMBs and scientific advisory committees and for the SCT".
She was elected as a Fellow of the American Statistical Association in 2015.
References
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
UTHealth School of Public Health alumni
American people of Lebanese descent
Duke University faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/George%20Leo%20Watson | George Leo Watson (13 December 1909 – 9 January 1988, London) was a British mathematician, who specialized in number theory.
Education and career
Born in Whitby, Watson matriculated at Trinity College, Cambridge in 1927, where he was tutored in mathematics by S. Pollard and A. S. Besicovitch. After graduating in 1930 he went to India as a member of the Indian Civil Service, serving as a District Commissioner in Nagpur. There he spent his leisure time studying the number theory books of Leonard Dickson and began to work on research in number theory. After India's independence he returned to England and taught at South London's Acton Technical College (later a part of Brunel University). In 1951 he attracted the attention of professional mathematicians with a new proof of the seven cubes theorem; Watson's proof was considerably simpler than the 1943 proof by Yuri Linnik. (The seven cubes theorem states that every sufficiently large positive integer is the sum of seven cubes; see Waring's problem.) Harold Davenport helped Watson get a job as a Lecturer at University College London and served as the doctoral advisor for Watson's 1953 thesis Some topics in number theory. At University College London, Watson became in 1961 in a Reader and in 1970 a Professor, then retired in 1977 as Professor Emeritus.
In 1968 Watson was awarded the Senior Berwick Prize of the London Mathematical Society (LMS) for three of his papers on number theory: Diophantine equations reducible to quadratics (1967), Non-homogeneous cubic equations (1967), and Asymmetric inequalities for indefinite quadratic forms (1968).
Selected publications
References
20th-century English mathematicians
Number theorists
Alumni of Trinity College, Cambridge
Academics of University College London
Indian Civil Service (British India) officers
1909 births
1988 deaths |
https://en.wikipedia.org/wiki/Beatrice%20Shube | Beatrice (Bea) Shube (April 13, 1921 – December 5, 2010) was an American book editor for the statistics series of John Wiley & Sons.
Shube was originally from New York City. She graduated from Brooklyn College in 1941, and retired in 1988.
Both the American Statistical Association and the American Association for the Advancement of Science honored her by electing her as a fellow.
References
1921 births
2010 deaths
Brooklyn College alumni
American book editors
Fellows of the American Association for the Advancement of Science
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Cecilia%20Nembou | Cecilia Nembou is an educator and women's rights activist from Papua New Guinea.
Background
Nembou trained as a mathematician, receiving a BSc in Mathematics from the University of Papua New Guinea (1975), MSc in Operations Research from the University of Sussex (1978), and PGDip in Statistics from Canberra College of Advanced Education (1983). In 1992 she received her PhD in Operations Research from the University of New South Wales.
Career
In January 2016 she was appointed president and vice-chancellor of Divine Word University, making her the first female vice-chancellor for a university in Papua New Guinea. She has worked as an academic and higher education administrator for over forty years.
Prior to her appointment at Divine Word University she held positions at the University of Wollongong in Dubai and University of Papua New Guinea. She spent two years at the University of Wollongong as Academic Registrar and Assistant Professor in Mathematics. She spent twenty five years at the University of Papua New Guinea, her positions included Senior Lecturer in Mathematics, Head of Mathematics Department, Executive Dean of School of Natural and Physical Sciences, Pro-Vice-Chancellor and Acting Vice-Chancellor.
Nembou is a former board member of Coalition for Change Papua New Guinea, an advocacy group that campaigns against gender based violence. She has also lobbied for the criminalisation of domestic violence in Papua New Guinea and for the adoption of the Family Protection Act.
References
Living people
Papua New Guinean educators
University of Papua New Guinea alumni
Alumni of the University of Sussex
University of Canberra alumni
University of New South Wales alumni
Academic staff of the University of Wollongong
20th-century births
Year of birth missing (living people)
Date of birth missing (living people)
Place of birth missing (living people) |
https://en.wikipedia.org/wiki/Seiya%20Kojima | is a Japanese footballer currently playing as a midfielder.
Career statistics
Club
Notes
Honours
BG Pathum United
Thai League 2: 2019
References
External links
Ryutsu Keizai University stats
1989 births
Living people
Japanese men's footballers
Japanese expatriate men's footballers
Men's association football midfielders
Seiya Kojima
Seiya Kojima
Seiya Kojima
Seiya Kojima
Seiya Kojima
Abahani Limited Dhaka players
Nara Club players
Expatriate men's footballers in Thailand
Japanese expatriate sportspeople in Thailand
Expatriate men's footballers in Bangladesh
Japanese expatriate sportspeople in Bangladesh |
https://en.wikipedia.org/wiki/Elizaveta%20Levina | Elizaveta (Liza) Levina is a Russian and American mathematical statistician. She is the Vijay Nair Collegiate Professor of Statistics at the University of Michigan, and is known for her work in high-dimensional statistics, including covariance estimation, graphical models, statistical network analysis, and nonparametric statistics.
Academic biography
Levina completed her undergraduate studies in mathematics at Saint Petersburg State University in Russia in 1994. After earning a master's degree in mathematics from the University of Utah in 1997, she completed her PhD in statistics in 2002 from the University of California, Berkeley. Her dissertation, supervised by Peter J. Bickel, was Statistical Issues in Texture Analysis.
Levina joined the faculty of Department of Statistics at University of Michigan after completing her PhD in 2002. She was promoted to associate professor in 2009 and to full professor in 2014. She has been serving as the department's PhD program director since 2012 and also associate chair since 2014. She is also affiliated faculty at the Michigan Institute for Data Science (MIDAS) and the Center for the Study of Complex Systems.
Recognition
Levina received the American Statistical Association Gottfried E. Noether Young Scholar Award in 2010 for her contributions to nonparametric statistics.
She was elected to the International Statistical Institute in 2011. In 2016, she was elected as a Fellow of the American Statistical Association and as a Fellow of the Institute of Mathematical Statistics (IMS) .
She was awarded the Vijay Nair Collegiate Professorship in 2017.
She was an invited speaker at the 2018 International Congress of Mathematicians, speaking in the section on Probability and Statistics. She has been chosen as a 2019 Medallion Lecturer for the IMS.
Professor Liza Levina is a “Thomson-ISI highly cited” researcher.
She received University of Michigan Distinguished Faculty Achievement Award in 2019. This honor is awarded university-wide to five senior faculty members annually.
Family
Levina's husband, Edward Ionides, is also a professor of statistics at the University of Michigan. They have three children.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Russian statisticians
Women statisticians
Saint Petersburg State University alumni
University of Utah alumni
University of Michigan faculty
Elected Members of the International Statistical Institute
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics
Mathematical statisticians
Network scientists |
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