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https://en.wikipedia.org/wiki/Hannah%20Fry | Hannah Fry (born February 1984) is a British mathematician, author, and radio and television presenter. She is Professor in the Mathematics of Cities at the UCL Centre for Advanced Spatial Analysis. She studies the patterns of human behaviour, such as interpersonal relationships and dating, and how mathematics can apply to them. Fry delivered the 2019 Royal Institution Christmas Lectures.
Early life and education
Fry, the middle of three daughters, is of mixed English and Irish heritage; her father is an English factory worker, and her mother, a stay-at-home mum, from Ireland. One summer, when she was about 11, her mother made her solve one page of problems in a mathematics textbook each day of the summer holiday, and this put her ahead of the other students in the next school year. She attended Presdales School in Ware, Hertfordshire, England, where a teacher inspired her to study mathematics. She subsequently graduated from University College London (UCL). In 2011, she submitted a thesis based on the Navier–Stokes equations, and was awarded a PhD from the department of Mathematics by UCL.
Career
Academia
Fry was appointed as a lecturer at University College London in 2012. At the UCL Centre for Advanced Spatial Analysis, following a number of years as a senior lecturer and then associate professor, she was appointed professor in the Mathematics of Cities, in 2021.
TED and YouTube
For a year, Fry decided to say "yes" to everything, which led to her trying stand-up comedy, a TED Talk (invited by the German neuroscientist Alina Strasser), and television work.
On 30 March 2014, Fry gave a TED talk at TEDxBinghamtonUniversity titled The Mathematics of Love, which has attracted over 5.2 million views. Her book The Mathematics of Love: Patterns, Proofs, and the Search for the Ultimate Equation – in which she applies statistical and data-scientific models to dating, sex and marriage – was published by Simon and Schuster under the TED Books imprint in February 2015.
Fry has appeared in several videos for a YouTube mathematics channel, Numberphile, run by Brady Haran. She has also made an appearance on his podcast: The Numberphile Podcast.
Radio and television
Fry regularly appears on BBC Radio 4 in the UK, including in Computing Britain (2015, 12 episodes) and The Curious Cases of Rutherford & Fry (with Adam Rutherford), which aired its 21st series in 2023.
Fry has presented several BBC television programmes. In 2015, she presented a BBC Four film biography of Ada Lovelace. In 2016, she co-presented Trainspotting Live with Peter Snow, a three-part series about trains and trainspotting, for the same channel. In the BBC Two series City in the Sky Fry studied the logistics of aviation. She also hosted The Joy of Data on BBC Four, which examines the history and human impact of data. A further credit for 2016 was her co-hosting an episode of the BBC Two Horizon series with Dr Xand van Tulleken, titled How to Find Love Online. In 2017, Fry presen |
https://en.wikipedia.org/wiki/Curve%20complex | In mathematics, the curve complex is a simplicial complex C(S) associated to a finite-type surface S, which encodes the combinatorics of simple closed curves on S. The curve complex turned out to be a fundamental tool in the study of the geometry of the Teichmüller space, of mapping class groups and of Kleinian groups. It was introduced by W.J.Harvey in 1978.
Curve complexes
Definition
Let be a finite type connected oriented surface. More specifically, let be a connected oriented surface of genus with boundary components and punctures.
The curve complex is the simplicial complex defined as follows:
The vertices are the free homotopy classes of essential (neither homotopically trivial nor peripheral) simple closed curves on ;
If represent distinct vertices of , they span a simplex if and only if they can be homotoped to be pairwise disjoint.
Examples
For surfaces of small complexity (essentially the torus, punctured torus, and four-holed sphere), with the definition above the curve complex has infinitely many connected components. One can give an alternate and more useful definition by joining vertices if the corresponding curves have minimal intersection number. With this alternate definition, the resulting complex is isomorphic to the Farey graph.
Geometry of the curve complex
Basic properties
If is a compact surface of genus with boundary components the dimension of is equal to . In what follows, we will assume that . The complex of curves is never locally finite (i.e. every vertex has infinitely many neighbors). A result of Harer asserts that is in fact homotopically equivalent to a wedge sum of spheres.
Intersection numbers and distance on C(S)
The combinatorial distance on the 1-skeleton of is related to the intersection number between simple closed curves on a surface, which is the smallest number of intersections of two curves in the isotopy classes. For example
for any two nondisjoint simple closed curves . One can compare in the other direction but the results are much more subtle (for example there is no uniform lower bound even for a given surface) and harder to prove.
Hyperbolicity
It was proved by Masur and Minsky that the complex of curves is a Gromov hyperbolic space. Later work by various authors gave alternate proofs of this fact and better information on the hyperbolicity.
Relation with the mapping class group and Teichmüller space
Action of the mapping class group
The mapping class group of acts on the complex in the natural way: it acts on the vertices by and this extends to an action on the full complex. This action allows to prove many interesting properties of the mapping class groups.
While the mapping class group itself is not a hyperbolic group, the fact that is hyperbolic still has implications for its structure and geometry.
Comparison with Teichmüller space
There is a natural map from Teichmüller space to the curve complex, which takes a marked hyperbolic structures to |
https://en.wikipedia.org/wiki/Thurston%20norm | In mathematics, the Thurston norm is a function on the second homology group of an oriented 3-manifold introduced by William Thurston, which measures in a natural way the topological complexity of homology classes represented by surfaces.
Definition
Let be a differentiable manifold and . Then can be represented by a smooth embedding , where is a (not necessarily connected) surface that is compact and without boundary. The Thurston norm of is then defined to be
,
where the minimum is taken over all embedded surfaces (the being the connected components) representing as above, and is the absolute value of the Euler characteristic for surfaces which are not spheres (and 0 for spheres).
This function satisfies the following properties:
for ;
for .
These properties imply that extends to a function on which can then be extended by continuity to a seminorm on . By Poincaré duality, one can define the Thurston norm on .
When is compact with boundary, the Thurston norm is defined in a similar manner on the relative homology group and its Poincaré dual .
It follows from further work of David Gabai that one can also define the Thurston norm using only immersed surfaces. This implies that the Thurston norm is also equal to half the Gromov norm on homology.
Topological applications
The Thurston norm was introduced in view of its applications to fiberings and foliations of 3-manifolds.
The unit ball of the Thurston norm of a 3-manifold is a polytope with integer vertices. It can be used to describe the structure of the set of fiberings of over the circle: if can be written as the mapping torus of a diffeomorphism of a surface then the embedding represents a class in a top-dimensional (or open) face of : moreover all other integer points on the same face are also fibers in such a fibration.
Embedded surfaces which minimise the Thurston norm in their homology class are exactly the closed leaves of foliations of .
Notes
References
Topology
3-manifolds
Differential geometry |
https://en.wikipedia.org/wiki/Ludwig%20Berwald | Ludwig Berwald (8 December 1883 – 20 April 1942) was a German mathematician best known for his contributions to differential geometry, especially Finsler geometry. He taught in Munich and Prague for 32 years, publishing 54 papers, before being deported by the SS to the Łódź Ghetto, where he and his wife Hedwig died within a year.
Biography
Ludwig was one of three children of Max Berwald, an East Prussian owner of a famous bookstore, and Friedericke Fischel. They were "Jewish with Max coming from East Prussia and his wife being a native of Prague." In 1900, the family moved to Munich, where Ludwig matriculated at Ludwig Maximilian University in 1902. There he studied mathematics under Aurel Voss, alongside notable mathematicians Hugo Dingler and Fritz Noether, and received his PhD in 1908 for his thesis entitled Über die Krümmungseigenschaften der Brennflächen eines geradlinigen Strahlsystems und der in ihm enthaltenen Regelflächen (On the properties of curvature on the internal surfaces of rectilinear systems, and surfaces contained therein). Due to sanatorium treatment for pulmonary illness, he was unable to continue his work in Munich. Through friends, he eventually became a lecturer at the German University (now Charles University) back in Prague, achieving full professorship in 1924. There, he developed friendships and successful collaborations with fellow mathematicians Georg Pick, Paul Funk, and Élie Cartan, publishing some 54 articles which significantly advanced the field of Finsler geometry, pioneering important concepts which still bear his name such as Berwald curvature, Berwald spray, and the Berwald–Moór metric function. For extending the concept of Riemann curvature to Finsler spaces, Berwald has been credited as the founder of differential geometry of Finsler spaces. On 22 October 1941, the day after submitting his last article, the sickly 57-year-old Berwald was deported to the Łódź Ghetto in Poland in the third transportation of Jews by the German secret police. The Berwalds were two of 55 people who lived in 48 Maryśinska Street in a one-room approximately with no beds. Hedwig, eight years older than her husband, died 27 March 1942; Ludwig followed 23 days later.
Selected works
References
German people of Czech-Jewish descent
20th-century German mathematicians
1883 births
1942 deaths
Ludwig Maximilian University of Munich alumni
Academic staff of Charles University
German Jews who died in the Holocaust |
https://en.wikipedia.org/wiki/Nathalie%20Sinclair | Nathalie Michelle Sinclair (born 1970) is a Canadian researcher in mathematics education who holds the Canada Research Chair in Tangible Mathematics Learning at Simon Fraser University in Vancouver.
Early life and education
Sinclair was born in Grenoble, the daughter of Canadian academics who were on sabbatical there; she grew up in Calgary. She began her undergraduate studies at McGill University in business, but quickly switched to mathematics, and then earned a master's degree with Len Berggren at Simon Fraser on the history of mathematics and mathematics in medieval Islam.
She became a middle school teacher of mathematics and French on Bowen Island, Sinclair then earned her Ph.D. in 2002 from Queen's University at Kingston, under the joint supervision of Peter Taylor of the Department of Mathematics and Statistics and William Higginson of the Faculty of Education.
Career
In 2003, Sinclair accepted a joint appointment in the College of Natural Sciences and the College of Education at Michigan State University.
In 2014, Sinclair and Nicholas Jackiw developed a mathematical app targeted at children ages three to eight. The purpose of the app is to teach children math through "hands-on" learning. Two years later, she was named a Tier 2 Canada Research Chair in Tangible Mathematics Learning.
In March 2017, Sinclair was named Canada's Mathematics Ambassador by Partners in Research for her contributions to the field of mathematics. Later that year, Sinclair was elected a Member of the College of New Scholars, Artists and Scientists of the Royal Society of Canada. In 2019, Sinclair was awarded the Svend Pedersen Lecture Award.
Selected publications
. Winner of the Janet Duffin Award for the best paper of the year in Research in Mathematics Education.
. Honourable Mention for Innovations in Curriculum Studies, American Educational Research Association, 2015.
References
External links
Home page
Google scholar profile
1970 births
Living people
Mathematics educators
McGill University Faculty of Science alumni
Simon Fraser University alumni
Queen's University at Kingston alumni
Academic staff of Simon Fraser University
Canada Research Chairs
Canadian women mathematicians
21st-century Canadian mathematicians
21st-century women mathematicians |
https://en.wikipedia.org/wiki/Guy%20Hirsch | Guy Hirsch (20 September 1915 – 4 August 1993) was a Belgian mathematician and philosopher of mathematics, who worked on algebraic topology and epistemology of mathematics.
He became a member of the Royal Flemish Academy of Belgium for Science and the Arts in 1973.
He is known for the Leray–Hirsch theorem, a basic result on the algebraic topology of fiber bundles that he proved independently of Jean Leray in the late 1940s.
References
External links
1915 births
Mathematicians from London
1993 deaths
Belgian mathematicians
Topologists
Free University of Brussels (1834–1969) alumni
Academic staff of the Free University of Brussels (1834–1969)
British emigrants to Belgium |
https://en.wikipedia.org/wiki/1967%E2%80%9368%20Galatasaray%20S.K.%20season | The 1967–68 season was Galatasaray's 64th in existence and the 10th consecutive season in the 1. Lig. This article shows statistics of the club's players in the season, and also lists all matches that the club have played in the season.
Squad statistics
Players in / out
In
Out
1.Lig
Standings
Matches
Türkiye Kupası
Kick-off listed in local time (EET)
1st round
2nd round
1/4 Final
1/2 Final
Friendly Matches
TSYD Kupası
Attendance
References
Tuncay, Bülent (2002). Galatasaray Tarihi. Yapı Kredi Yayınları
External links
Galatasaray Sports Club Official Website
Turkish Football Federation – Galatasaray A.Ş.
uefa.com – Galatasaray AŞ
Galatasaray S.K. (football) seasons
Turkish football clubs 1967–68 season
1960s in Istanbul |
https://en.wikipedia.org/wiki/Vanja%20Dukic | Vanja Dukic is an expert in computational statistics and mathematical epidemiology who works as a professor of applied mathematics at the University of Colorado Boulder. Her research includes work on using internet search engine access patterns to track diseases, and on the effects of climate change on the spread of diseases.
Dukic earned a bachelor's degree in finance and actuarial mathematics from Bryant University in 1995.
She completed her doctorate at Brown University in 2001, under the joint supervision of biostatisticians Constantine Gatsonis and Joseph Hogan. She worked as a faculty member in the biostatistics program of the Department of Public Health Sciences at the University of Chicago from 2001 to 2010, before moving to Colorado.
In 2015 she was elected as a Fellow of the American Statistical Association "for important contributions to Bayesian modeling of complex processes and analysis of Big Data, substantive and collaborative research in infectious diseases and climate change, and service to the profession, including excellence in editorial work."
Select publications
References
External links
Year of birth missing (living people)
Living people
21st-century American mathematicians
American women mathematicians
American statisticians
Women statisticians
Biostatisticians
Bryant University alumni
Brown University alumni
University of Chicago faculty
University of Colorado Boulder faculty
Fellows of the American Statistical Association
21st-century women mathematicians
21st-century American women |
https://en.wikipedia.org/wiki/Yoonkyung%20Lee | Yoonkyung Lee is a professor of statistics at Ohio State University, and also holds a courtesy appointment in computer science and engineering at Ohio State. Her research takes a statistical approach to kernel methods, dimensionality reduction, and regularization in machine learning.
Professional career
Lee earned bachelor's and master's degrees in computer science and statistics from Seoul National University in Korea in 1994 and 1996. She completed her Ph.D. in statistics in 2002 at the University of Wisconsin–Madison, under the supervision of Grace Wahba and Yi Lin, with a dissertation about support vector machines and their applications to microarray and satellite data. She joined the Ohio State faculty in 2002 and was promoted to full professor in 2016.
Recognition
In 2015, Lee was elected as a Fellow of the American Statistical Association "for fundamental and influential research on the multicategory support vector machine; for work at the edge of statistics and computer science and building a bridge between the statistics and machine learning communities; and for editorial and program committee service to the profession."
References
External links
Home page
Year of birth missing (living people)
Living people
American computer scientists
South Korean computer scientists
South Korean women computer scientists
American statisticians
South Korean statisticians
Women statisticians
Seoul National University alumni
University of Wisconsin–Madison College of Letters and Science alumni
Ohio State University faculty
Fellows of the American Statistical Association
21st-century South Korean women scientists
21st-century South Korean scientists
American women computer scientists
21st-century American mathematicians
21st-century American women scientists |
https://en.wikipedia.org/wiki/Catherine%20Sugar | Catherine Ann Sugar is an American biostatistician at the University of California, Los Angeles, where she is Professor in Residence in the Departments of Biostatistics, Statistics and Psychiatry and director of the biostatistics core for the Semel Institute for Neuroscience and Human Behavior. Her research concerns cluster analysis, covariance, and the applications of statistics in medicine and psychiatry.
Sugar graduated from Pomona College in 1992. She earned a master's degree in mathematics from Stanford University in 1994, and a Ph.D. in statistics from Stanford in 1998, under the supervision of
Richard Olshen. Prior to joining the UCLA faculty, Sugar worked in the Department of Information and Operations Management of the Marshall School of Business at the University of Southern California, with a joint appointment in the USC School of Pharmacy.
In 2015 she was elected as a Fellow of the American Statistical Association "for outstanding methodological contributions in cluster analysis and functional data analysis; for extraordinary accomplishment in teaching and mentoring; for outstanding leadership in integrating statistical methods into mental health research; and for exemplary service to the profession."
References
External links
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Biostatisticians
Pomona College alumni
Stanford University alumni
University of Southern California faculty
UCLA School of Public Health faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Richard%20Eliot%20Chamberlin | Richard Eliot Chamberlin (20 March 1923, Cambridge, Massachusetts – 14 March 1994) was an American mathematician, specializing in geometric topology.
R. Eliot Chamberlin's father was Ralph Vary Chamberlin. Eliot Chamberlin attended East High School in Salt Lake City. He received his bachelor's degree from the University of Utah. In the early 1940s he was a teaching fellow in physics at the University of Utah and then the Massachusetts Institute of Technology. After serving as an instructor of physics at Northeastern University, he served two years in the United States Navy during World War II. After discharge from the Navy, he entered graduate school in mathematics at Harvard University, and received his Ph.D. in 1950 with thesis supervisor Hassler Whitney.
Chamberlin joined the faculty of the mathematics department at the University of Utah in 1949 and retired there as professor emeritus on 1 July 1988. Chamberlin gave an invited address at the International Congress of Mathematicians in 1950 in Cambridge, Massachusetts.
Selected publications
References
1923 births
1994 deaths
People from Cambridge, Massachusetts
United States Navy personnel of World War II
Mathematicians from Massachusetts
20th-century American mathematicians
Topologists
Institute for Advanced Study visiting scholars
University of Utah alumni
Harvard Graduate School of Arts and Sciences alumni
University of Utah faculty |
https://en.wikipedia.org/wiki/Kate%20Calder | Catherine A. "Kate" Calder is an American statistician who works as chair of Statistics and Data Sciences at the University of Texas at Austin. She was previously a professor of statistics at Ohio State University. Calder earned a bachelor's degree in mathematics from Northwestern University in 1999, and completed her Ph.D. in statistics from Duke University in 2003 under the joint supervision of David Higdon and Michael L. Lavine. She joined the Ohio State faculty in 2003, and was promoted to full professor in 2015.
In 2013 she won the Young Investigator Award of the American Statistical Association (ASA), and in 2014 she was elected as a Fellow of the ASA "for outstanding contributions to the development of Bayesian statistical methodology for spatial and spatiotemporal data; for significant multidisciplinary collaborations; for excellence in teaching and mentoring graduate students both in statistics and in other disciplines; and for service to the profession." She was elected to the 2022 class of Fellows of the American Association for the Advancement of Science (AAAS).
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Northwestern University alumni
Duke University alumni
Ohio State University faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Jie%20Chen%20%28statistician%29 | Jie Chen is a statistician who works as a professor of biostatistics and epidemiology at the Medical College of Georgia. As well as biostatistics, her research interests include change detection.
Chen earned a bachelor's degree in statistics from Chongqing University in China in 1985, and became a lecturer at Southwestern University of Finance and Economics from 1985 to 1988. She returned to graduate school for a master's degree from the University of Akron in 1990, and a Ph.D. from Bowling Green State University in 1995, under the supervision of Arjun Kumar Gupta.
She joined the Department of Mathematics and Statistics at the University of Missouri–Kansas City in 1995, and was department chair from 2008 until 2014, when she moved to Georgia.
In 2014 she was elected as a Fellow of the American Statistical Association "for significant contributions to change point problems and their applications to genomics data; for high-impact collaborative research in biological research; for excellence in teaching and mentoring students; and for dedicated service to the profession."
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Chinese statisticians
Women statisticians
Chongqing University alumni
University of Akron alumni
Bowling Green State University alumni
University of Missouri–Kansas City faculty
Fellows of the American Statistical Association
Chinese women mathematicians
Chinese emigrants to the United States
Mathematicians from Missouri |
https://en.wikipedia.org/wiki/Lynn%20Eberly | Lynn Elizabeth Eberly is a professor of biostatistics in the School of Public Health at the University of Minnesota, whose research involves longitudinal studies, medical imaging, and other forms of correlated data.
Early life
Eberly double-majored in mathematics and German language and literature at Washington University in St. Louis, graduating in 1991. She earned her Ph.D. in statistics from Cornell University in 1997, under the supervision of George Casella,
Career
After graduating from Cornell, she joined the University of Minnesota faculty the same year.
With professor Chap T. Le she is co-author of the textbook Introductory Biostatistics (2nd ed., Wiley, 2016).
In 2014 she was elected as a Fellow of the American Statistical Association "for excellence in statistical methodology related to correlated and medical imaging data; for broad impact in collaborative research and statistical consultation; for leadership in biostatistical core grant and data coordinating center activities; for excellence and innovation in teaching; and for diligence in service to the ASA, her university, and the profession."
References
Year of birth missing (living people)
Living people
American women statisticians
Biostatisticians
Washington University in St. Louis alumni
Cornell University alumni
University of Minnesota faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Mathematics%20mastery | Mathematics mastery is an approach to mathematics education which is based on mastery learning in which most students are expected to achieve a high level of competence before progressing. This technique is used in countries such as China and Singapore where good results have been achieved and so the approach is now being promoted in the UK by people such as schools minister Nick Gibb. Chinese teachers were brought to the UK to demonstrate the Shanghai mastery approach in 2015. A trial was made in the UK with about 10,000 students of ages 5–6 and 11–12. In one year, test scores indicated that the students were about a month ahead of students in schools using other approaches. This result was considered small but significant.
Mathematics mastery is a new way of thinking and teaching, where the whole class moves through content at the same pace and students are given time to think deeply about the maths. The methodology build self-confidence in learners and differentiates through depth rather than acceleration.
References
External links
Mathematics Mastery – a programme of the Ark charity to support and encourage this approach
Maths Mastery Guide for primary school education - a deep dive
Mathematics education |
https://en.wikipedia.org/wiki/Yulia%20Gel | Yulia R. Gel is a professor in the Department of Mathematical Sciences at the University of Texas at Dallas and an adjunct professor in the Department of Statistics and Actuarial Science of the University of Waterloo.
Early life and education
Gel earned her doctorate in mathematics at Saint Petersburg State University in Russia, under the supervision of Vladimir N. Fomin. After postdoctoral research at the University of Washington, she joined the Waterloo faculty in 2004, and moved to Dallas in 2014.
Research and career
Prior to joining the University of Texas at Dallas, Yulia Gel served as an Assistant/Associate Professor with tenure in the Department of Statistics and Actuarial Sciences at the University of Waterloo, Canada, from 2004 to 2014. She has also held visiting positions at prominent institutions such as NASA Jet Propulsion Lab (Caltech), the Isaac Newton Institute for Mathematical Sciences (Cambridge, UK), Johns Hopkins University, University of California at Berkeley, and George Washington University.
Yulia Gel has a diverse range of research interests that span statistical foundations of data science, machine learning, topological and geometric methods in statistics, and topological data analysis. Her work focuses on graph mining, inference for random graphs and complex networks, uncertainty quantification in network analysis, data depth on networks, time series analysis, spatio-temporal processes, and climate informatics. She is particularly interested in the application of statistical and data science techniques to domains such as healthcare predictive analytics and climate informatics.
Awards and honors
In 2014 Yulia was elected as a Fellow of the American Statistical Association" for theoretical contributions to nonparametric aspects of spatiotemporal processes; for promoting the application of modern statistical methodologies in law, public policy, and the environmental sciences; and for championing the advancement of women and other under-represented groups in the mathematical and physical sciences."
References
External links
Google scholar profile
Year of birth missing (living people)
Living people
American statisticians
Canadian statisticians
Russian statisticians
Women statisticians
Saint Petersburg State University alumni
University of Texas at Dallas faculty
Academic staff of the University of Waterloo
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/2016%E2%80%9317%20F.C.%20Copenhagen%20season | This article shows statistics of individual players for the football club F.C. Copenhagen. It also lists all matches that F.C. Copenhagen played in the 2016–17 season.
Players
Squad information
This section show the squad as currently, considering all players who are confirmedly moved in and out (see section Players in / out).
Squad stats
Players in / out
In
Out
Club
Coaching staff
Other information
Competitions
Overall
Danish Superliga
Regular season
Championship round
Results summary
Results by round
UEFA Champions League
Second qualifying round
Third qualifying round
Play-off round
Group stage
Results summary
UEFA Europa League
Round of 32
Round of 16
Results summary
Matches
Competitive
References
External links
F.C. Copenhagen official website
2016–17
Danish football clubs 2016–17 season
2016–17 UEFA Champions League participants seasons |
https://en.wikipedia.org/wiki/Lurdes%20Inoue | Lurdes Yoshiko Tani Inoue is a Brazilian-born statistician of Japanese descent, who specializes in Bayesian inference. She works as a professor of biostatistics in the University of Washington School of Public Health.
Education and career
Inoue's grandparents emigrated from Japan to Brazil in the 1930s; she was born in São Paulo, where she grew up.
She earned bachelor's and master's degree from the University of São Paulo in 1992 and 1995, and received a fellowship from the Brazilian government to continue her studies in the US. She completed her Ph.D. in statistics in 1999 from Duke University, under the supervision of Don Berry.
After postdoctoral research at the University of Texas, she joined the University of Washington in 2002. In 2019, she became the chair of the biostatistics department.
Book
With Giovanni Parmigiani, she is the author of the book Decision Theory: Principles and Approaches (Wiley, 2009). This book won the DeGroot Prize of the International Society for Bayesian Analysis for 2009.
Recognition
In 2014, Inoue was elected as a Fellow of the American Statistical Association "for substantial and fundamental contributions to Bayesian decision theory and innovation in the statistical modeling of disease progression with applications to cancer research; for outstanding mentoring of junior researchers; and for exemplary service to the profession."
References
Year of birth missing (living people)
Living people
American statisticians
Brazilian statisticians
Women statisticians
Biostatisticians
Brazilian people of Japanese descent
American academics of Japanese descent
University of São Paulo alumni
University of Washington faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Mimi%20Kim | Mimi Y. Kim is the Harold and Muriel Block Chair in epidemiology and population health at the Albert Einstein College of Medicine, where she heads the division of biostatistics.
Kim graduated from the University of California, Berkeley with a bachelor's degree in bioengineering in 1986, and completed an Sc.D. in biostatistics at Harvard University in 1990. She joined the New York University School of Medicine in 1990, becoming an assistant professor in 1994 and an associate professor in 2000. She moved to the Albert Einstein College of Medicine in 2003. She was given the Block Professorship in 2013.
In 2014 she was elected as a Fellow of the American Statistical Association "for exemplary leadership of academic biostatistics programs; for extensive collaborative research in HIV/AIDS, cancer, and rheumatology; for innovative study designs and analyses applied to medical research; and for extensive service to the biostatistics profession." She is the president-elect of the Korean International Statistical Society.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
UC Berkeley College of Engineering alumni
Harvard University alumni
New York University faculty
Yeshiva University faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Frauke%20Kreuter | Frauke Kreuter is a German sociologist and statistician. She is a professor of the Joint Program in Survey Methodology (JPSM) of the University of Maryland, College Park and a professor in statistics and data science at the Ludwig Maximilian University of Munich, Germany. Her research in survey methodology includes work on sampling error and observational error.
Biography
Kreuter earned a diploma in sociology from the University of Mannheim in 1996. She received her doctorate (Dr. rer. soc.) in 2001 from the University of Konstanz under the supervision of . After postdoctoral research and an adjunct position at the University of California, Los Angeles, she moved to Maryland in 2004 and joined JPSM as an assistant professor. From 2010 to 2014 she was University Professor of Statistics at the Ludwig Maximilian University of Munich, while maintaining her position at Maryland as an associate professor. She also became head of the Statistical Methods Research Department at the Institute for Employment Research (IAB) in Nuremberg, Germany in 2010. In 2014 she was promoted to full professor at Maryland and moved her German position to the University of Mannheim. From 2016 to 2020, she was director of JPSM in Maryland.
Publications
She is the author or co-author of several books, including Data Analysis Using Stata (3rd ed., Stata Press, 2012, with U. Kohler) and Practical Tools for Designing and Weighting Survey Samples (Springer, 2013, with Richard Valliant and Jill Dever).
Awards and honors
Kreuter was the 2013 winner of the Gertrude Cox Award, given jointly by the Washington Statistical Society and RTI International.
In 2014 she was elected as a Fellow of the American Statistical Association "for outstanding contributions to research in the field of survey methodology; for excellence in mentoring of junior researchers in social statistics and survey methodology; and for extensive international research collaborations." She was awarded the Warren Mitofsky Innovators Award of the American Association for Public Opinion Research in 2020.
References
External links
Home page
Year of birth missing (living people)
Living people
German statisticians
Women statisticians
German sociologists
German women sociologists
University of Mannheim alumni
University of Konstanz alumni
University of Maryland, College Park faculty
Academic staff of the Ludwig Maximilian University of Munich
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/John%20Montgomery%20%28footballer%29 | John Montgomery was a Scottish professional football goalkeeper who played in the Scottish League for Motherwell, Port Glasgow Athletic and Hamilton Academical.
Career statistics
Honours
Hamilton Academical
Lanarkshire Cup: 1909–10 (shared)
Lanarkshire Express Cup: 1909–10
References
Scottish men's footballers
Brentford F.C. players
Southern Football League players
Scottish Football League players
Date of death missing
Motherwell F.C. players
Men's association football goalkeepers
Port Glasgow Athletic F.C. players
1881 births
Footballers from North Ayrshire
Ardeer Thistle F.C. players
Hamilton Academical F.C. players
People from Stevenston |
https://en.wikipedia.org/wiki/Leinster%20Senior%20Hurling%20Championship%20records%20and%20statistics | This page details statistics of the Leinster Senior Hurling Championship.
General performances
By county
Teams
Winning Teams
Other records
By Semi-Final/Top 4 Appearances (since 2015)
Winners By decade
The most successful team of each decade, judged by number of Leinster Senior Hurling Championship titles, is as follows:
1880s: 1 each for Kilkenny (1888) and Dublin (1889)
1890s: 4 for Kilkenny (1893, 1895, 1897, 1898)
1900s: 6 for Kilkenny (1900, 1903, 1904, 1905, 1907, 1909)
1910s: 4 for Kilkenny (1911, 1912, 1913, 1916)
1920s: 5 each for Dublin (1920, 1921, 1924, 1927, 1928) and Kilkenny (1922, 1923, 1925, 1926, 1929)
1930s: 7 for Kilkenny (1931-1932-1933-1935-1936-1937-1939)
1940s: 5 for Kilkenny (1940-1943-1945-1946-1947)
1950s: 5 for Kilkenny (1950-1953-1957-1958-1959)
1960s: 4 each for Wexford (1960-1962-1965-1968) and Kilkenny (1963-1966-1967-1969)
1970s: 7 for Kilkenny (1971-1972-1973-1974-1975-1978-1979)
1980s: 6 for Offaly (1980, 1981, 1984, 1985, 1988, 1989)
1990s: 5 for Kilkenny (1991-1992-1993-1998-1999)
2000s: 9 for Kilkenny (2000, 2001, 2002, 2003, 2005, 2006, 2007, 2008, 2009)
2010s: 5 for Kilkenny (2010, 2011, 2014, 2015, 2016)
2020s: 4 for Kilkenny (2020, 2021, 2022, 2023)
Consecutive Wins
Septuple
Kilkenny (2005, 2006, 2007, 2008, 2009, 2010, 2011)
Sextuple
Kilkenny (1998, 1999, 2000, 2001, 2002, 2003)
Quintuple
Kilkenny (1971, 1972, 1973, 1974, 1975)
Quadruple
Kilkenny (2020, 2021, 2022, 2023)
Treble
Kilkenny (1903, 1904, 1905)
Kilkenny (1911, 1912, 1913)
Dublin (1919, 1920, 1921)
Kilkenny (1931, 1932, 1933)
Kilkenny (1935, 1936, 1937)
Kilkenny (1945, 1946, 1947)
Wexford (1954, 1955, 1956)
Kilkenny (1957, 1958, 1959)
Offaly (1988, 1989, 1990)
Kilkenny (1991, 1992, 1993)
Kilkenny (2014, 2015, 2016)
Double
Wexford (1890, 1891)
Kilkenny (1897, 1898)
Laois (1914, 1915)
Kilkenny (1922, 1923)
Kilkenny (1925, 1926)
Dublin (1927, 1928)
Kilkenny (1939, 1940)
Dublin (1941, 1942)
Kilkenny (1963, 1964)
Kilkenny (1966, 1967)
Wexford (1976, 1977)
Kilkenny (1978, 1979)
Offaly (1980, 1981)
Kilkenny (1982, 1983)
Offaly (1984, 1985)
Kilkenny (1986, 1987)
Offaly (1994, 1995)
Wexford (1996, 1997)
Galway (2017, 2018)
Single
Dublin (1889, 1892, 1894, 1896, 1902, 1906, 1908, 1917, 1924, 1930, 1934, 1938, 1944, 1948, 1952, 1961, 2013)
Wexford (1899, 1901, 1910, 1918, 1951, 1960, 1962, 1965, 1968, 1970, 2004, 2019)
Kilkenny (1888, 1893, 1895, 1900, 1907, 1909, 1916, 1943, 1950, 1953, 1969)
Laois (1949)
Galway (2012)
Finishing positions
Most championships
75, Kilkenny (1888, 1893, 1895, 1897, 1898, 1900, 1903, 1904, 1905, 1907, 1909, 1911, 1912, 1913, 1916, 1922, 1923, 1925, 1926, 1931, 1932, 1933, 1935, 1936, 1937, 1939, 1940, 1943, 1945, 1946, 1947, 1950, 1953, 1957, 1958, 1959, 1963, 1964, 1966, 1967, 1969, 1971, 1972, 1973, 1974, 1975, 1978, 1979, 1982, 1983, 1986, 1987, 1991, 1992, 1993, 1998, 1999, 2 |
https://en.wikipedia.org/wiki/William%20Jaffray%20%28footballer%29 | William Frederick Jaffray (25 March 1885 – 7 May 1968) was a Scottish professional footballer who played in the Scottish League for Aberdeen as an outside left.
Career statistics
References
Scottish men's footballers
Brentford F.C. players
Southern Football League players
Scottish Football League players
Aberdeen F.C. players
Men's association football outside forwards
Peterhead F.C. players
Leith Athletic F.C. players
Raith Rovers F.C. players
Brechin City F.C. players
Footballers from Aberdeen
1885 births
1968 deaths
Scottish expatriate sportspeople in the United States
20th-century Scottish businesspeople |
https://en.wikipedia.org/wiki/Nicole%20Lazar | Nicole Alana Lazar (born December 14, 1966 in Washington, DC) is a statistician who holds triple citizenship as an American, Canadian, and Israeli. She is a professor of statistics at the University of Georgia, where she is acting head of the statistics department. Her research interests include empirical likelihood, functional neuroimaging, model selection and the history and sociology of statistics.
Lazar graduated magnum cum laude from Tel Aviv University in 1988.
After earning a master's degree in statistics from Stanford University in 1993, she completed her Ph.D. in 1996 at the University of Chicago, under the supervision of Per Mykland. She joined the Carnegie Mellon University faculty in 1996, and moved to Georgia in 2004. In 2015 she became editor-in-chief of The American Statistician.
She is the author of a book, The Statistical Analysis of Functional MRI Data (Springer, 2008).
One of her columns, "The Arts: Digitized, Quantified, and Analyzed", was selected for the anthology The Best Writing on Mathematics 2014.
In 2014 she was elected as a Fellow of the American Statistical Association "for foundational statistical contributions to the area of empirical likelihood; for the development of new statistical methods for the analysis of functional magnetic resonance imaging (fMRI) data; and for developing, reforming, and enhancing statistical education." In 2021 she was named a Fellow of the Institute of Mathematical Statistics.
References
1966 births
Living people
American statisticians
Canadian statisticians
Israeli statisticians
Women statisticians
Tel Aviv University alumni
Stanford University alumni
University of Chicago alumni
Carnegie Mellon University faculty
University of Georgia faculty
Fellows of the American Statistical Association
Fellows of the Institute of Mathematical Statistics |
https://en.wikipedia.org/wiki/Jack%20Jordan | John Jordan (25 February 1924 – 23 June 2007) was a Scottish professional footballer who played as an outside right in the Scottish League for Celtic and Queen's Park.
Career statistics
References
Footballers from Glasgow
Scottish men's footballers
English Football League players
Scottish Football League players
1924 births
2007 deaths
Men's association football outside forwards
Reading F.C. players
Alloa Athletic F.C. players
Queen's Park F.C. players
Celtic F.C. players
Heart of Midlothian F.C. players
Pollok F.C. players
Edinburgh City F.C. (1928) players
Aberdeen F.C. players
Berwick Rangers F.C. players |
https://en.wikipedia.org/wiki/Gaddi%20Aguirre | Gaddi Axel Aguirre Ledezma (born 31 March 1996) is a Mexican professional footballer who plays as a centre-back for Liga MX club Atlas.
Career statistics
Club
Honours
Tampico Madero
Liga de Expansión MX: Guardianes 2020
Atlas
Liga MX: Apertura 2021, Clausura 2022
Campeón de Campeones: 2022
References
1996 births
Living people
Mexican men's footballers
Men's association football defenders
Atlas F.C. footballers
C.D.S. Tampico Madero footballers
Liga MX players
Ascenso MX players
Liga Premier de México players
Tercera División de México players
Footballers from Guadalajara, Jalisco |
https://en.wikipedia.org/wiki/Aryness%20Joy%20Wickens | Aryness Joy Wickens (January 5, 1901 – February 2, 1991) was an American economist and statistician who served as acting commissioner of the US Bureau of Labor Statistics and as president of the American Statistical Association, and who helped develop the United States Consumer Price Index.
Education and career
Aryness Joy was born in Bellingham, Washington. She did her undergraduate studies at the University of Washington, graduating Phi Beta Kappa, and earned a master's degree in economics from the University of Chicago. At the University of Washington, she became a member of Kappa Kappa Gamma.
After teaching economics at Mount Holyoke College from 1924 to 1928, she moved to Washington, DC to work for the Federal Reserve Board. There, her work included the measurement of industrial production. She also worked for a precursor of the Office of Management and Budget in the early 1930s.
She joined the Bureau of Labor Statistics in 1933, at first serving on an advisory committee of the American Statistical Association to the program, and then working as an assistant to the commissioner of the bureau. Her work at that time involved the investigation of monopolistic business practices. She was promoted to branch chief at the BLS in 1940, heading a group that studied prices and the cost of living. Later Joy became assistant and deputy commissioner of the bureau. During this time she also represented the US as an adviser at the United Nations and international conferences. In 1961 she became economic adviser to the Secretary of Labor. She retired in the early 1970s, but returned to duty at the Commission on Federal Paperwork as director of statistical studies there.
At the Bureau of Labor Statistics, Joy served as acting commissioner in 1946, and again in 1954–1955. In her second term as acting commissioner, her $13,500 salary made her the highest-paid female federal civil servant.
Other activities
In 1935, Joy was considered as one of several candidates to be the president of Mount Holyoke, continuing a tradition of female leadership at that school. However, instead, controversially, the trustees selected Roswell G. Ham to be president.
In 1952 she became the president of the American Statistical Association.
Awards and recognition
Joy was elected as a Fellow of the American Statistical Association in 1937, the second woman (after Kate Claghorn) to be so honored.
In 1960 she was one of the inaugural recipients of the US Civil Service Commission's Federal Women's Award.
Personal life
Joy married David L. Wickens, an economist, United States Air Force lieutenant colonel, rancher, and member of the South Dakota Senate, on June 29, 1935. Her husband died in 1970. After retiring, she moved to Mississippi in 1986.
References
1901 births
1991 deaths
People from Bellingham, Washington
University of Washington alumni
University of Chicago alumni
Mount Holyoke College faculty
Fellows of the American Statistical Association
Presidents of the American |
https://en.wikipedia.org/wiki/Indian%20Super%20League%20records%20and%20statistics | The Indian Super League is an Indian professional league for association football. At the top of the Indian football league system, it is the country's primary football competition and is contested by 12 clubs. This page details the records and statistics of the league since its first season in 2014.
Team records
Titles
Most Championship titles: 3, ATK
Most Premiership titles: 2, Mumbai City
Biggest league winning margin: 5 points
2019–20; Goa (39 points) over ATK (34 points)
2021–22; Jamshedpur (43 points) over Hyderabad (38 points)
Smallest league winning margin: 0 points, 6 head-to-head points, 2020–21; Mumbai City (6) over ATK Mohun Bagan (0). Both finished on 40 points, but Mumbai City won the title on head-to-head points.
Points
Most points in a season: 46, Mumbai City (2022–23)
Most home points in a season: 25, ATK Mohun Bagan (2020–21)
Most away points in a season: 25, Mumbai City (2022–23)
Fewest points in a season: 5, NorthEast United (2022–23)
Fewest home points in a season: 4, NorthEast United (2022–23)
Fewest away points in a season: 1, NorthEast United (2022–23)
Fewest points in a season while winning the league: 39, Goa (2019–20)
Wins
Most wins in total: 76, Mumbai City
Most wins in a season: 14, Mumbai City (2022–23)
Most home wins in a season: 8, ATK Mohun Bagan (2020–21)
Most away wins in a season: 8, Mumbai City (2022–23)
Fewest wins in a season: 1
East Bengal (2021–22)
NorthEast United (2022–23)
Fewest home wins in a season: 0
Chennaiyin (2020–21)
East Bengal (2021–22)
Fewest away wins in a season: 0
Mumbai City (2014)
Pune City (2015)
NorthEast United (2021–22)
NorthEast United (2022–23)
Most consecutive wins: 11, Mumbai City (9 October 2022 – 27 January 2023)
Most consecutive matches without a win: 14
Kerala Blasters (5 October 2018 – 6 February 2019)
Hyderabad (6 November 2019 – 13 February 2020)
NorthEast United (27 November 2019 – 25 February 2020)
Defeats
Most defeats in total: 76, NorthEast United
Most defeats in a season: 16, NorthEast United (2022–23)
Most home defeats in a season: 8, NorthEast United (2022–23)
Most away defeats in a season: 8
Hyderabad (2019–20)
NorthEast United (2022–23)
Fewest defeats in a season: 2
Atlético de Kolkata (2016)
Mumbai City (2022–23)
Fewest home defeats in a season: 0
Delhi Dynamos (2016)
Bengaluru (2018–19)
Fewest away defeats in a season: 1
Atlético de Kolkata (2016)
Mumbai City (2016)
Pune City (2017–18)
Goa (2020–21)
Hyderabad (2020–21), (2021–22)
NorthEast United (2020–21)
ATK Mohun Bagan (2021–22)
Mumbai City (2022–23)
Most consecutive matches undefeated: 18, Mumbai City (9 October 2022 – 11 February 2023)
Most consecutive defeats: 10, NorthEast United (8 October – 17 December 2022)
Draws
Most draws in total: 54, Kerala Blasters
Most draws in a season: 11
Hyderabad (2020–21)
Chennaiyin (2020–21)
Most home draws in a season: 7, Chennaiyin (2020–21)
Most away draws in a season: 6
Jamshedpur (2018–19)
Hyderabad (2020–21)
NorthEast United (2020–21)
Fe |
https://en.wikipedia.org/wiki/Rendiconti%20di%20Matematica%20e%20delle%20sue%20Applicazioni | The Rendiconti di Matematica e delle sue Applicazioni (Reports on Mathematics and its applications) is an open access peer-reviewed mathematics journal, jointly published by the "Guido Castelnuovo" Department of Mathematics of the Sapienza University of Rome and by the Istituto Nazionale di Alta Matematica Francesco Severi, established in 1913. The Journal started his publications a year after, in 1914, and his first director was Vito Volterra.
It publishes research articles in pure and applied mathematics, without imposing restrictions on the length of the work: for this reason, the submission of surveys, articles of foundational nature and doctoral dissertations is also encouraged. As in every peer reviewed journal, every article is refereed, and the journal adheres to the EMS Code of Practice.
The journal is abstracted and indexed by Mathematical Reviews, Zentralblatt MATH and Scopus.
Historical notes
Foundation and the first four series
The journal was founded in 1913 as the press organ of the "Seminario Matematico della Facoltà di Scienze della Reale Uninversità di Roma": its first director (Editor in chief) was Vito Volterra, who held this position from its foundation to the year 1921. The direction passed to Guido Castelnuovo who held it from 1921 to 1922: with the beginning of and during the publishing of the whole second and third series of the journal, from 1922 to 1935 Federigo Enriques was the director. During fourth series of the journal, at the starting of which it underwent its first name change, the direction passed to Gaetano Scorza, who held it until his death in 1939.
The INdAM and its influence
The founding of the Istituto Nazionale di Alta Matematica in 1939, under the decisive influence of Francesco Severi, had important consequences on the "Rendiconti del Seminario Matematico". On 23 November 1939, during its first meeting, the Scientific Council of the then newborn institute, considering the need of a means to publish the results of the research done by the members and the students working at the institute, decided to merge the needed means and the already existing journal in one single entity, giving birth to the "Rendiconti di Matematica e delle sue Applicazioni". Entrusted with this double function the fifth series of the journal, from the first volume published in 1940 to the first issue of the fourth volume published in 1943, included a section listing the programs of the INdAM courses of the current academic year as well as section listing the research problems proposed by the lecturers currently working at the institute.
Timeline of Journal series and editors in chief
See also
Rendiconti del Seminario Matematico della Università di Padova
Rendiconti del Seminario Matematico Università e Politecnico di Torino
Rivista di Matematica della Università di Parma
Notes
References
.
.
.
.
.
. This is a monographic fascicle published on the "Bollettino della Unione Matematica Italiana", describing the history of th |
https://en.wikipedia.org/wiki/Spanish%20migration%20to%20Honduras | Honduras has a large Spanish community, distributed throughout the country. According to the National Institute of Statistics of Spain, 2,888 Spanish citizens live in Honduras as of 2017.
Spaniards in Honduras or Honduran-Spaniards refers to the number of Spanish immigrants and Hondurans with direct Spanish ancestry living in the Republic of Honduras. This country has an important Spanish community that has spread throughout the national territory, this people are part of the white Honduran population. According to the National Institute of Statistics of Spain, in 2009 1,982 Spanish citizens lived in Honduras and by 2017, more than 2,888. Today there are many people with Spaniard ancestry who benefit from the dual nationality that is legally allowed between both countries.
History
Colonial era
Spaniards have visited the Honduran territory since 1504 with Columbus' forth expedition. One of their oldest towns founded was the port of Trujillo, which has one of the oldest Spanish Fortress in America, the Santa Barbara Fortress.
The first Spanish citizen in Honduras was the conquistador Gil González Dávila, who arrived in March 1524. He founded the villa of San Gil de Buena Vista. From there, he forged his way deeper inland, attempting to pacify the indigenous population while simultaneously fighting against other Spaniards who contested his territory. He also hoped to find the outflow of Lake Nicaragua.
Later, Hernán Cortés, motivated by reports of the great wealth of the region, sent two expeditions; one by land and another by sea. The first expedition was led by Pedro of Alvarado and the second by Cristóbal of Olid. After being betrayed by Cristóbal of Olid, Cortés decided to leave Mexico and take matters into his own hands, commanding an expedition that lasted nearly two years and ended in Trujillo, after surviving many dangers and hardships.
Cortés introduced cattle farming to the area, and founded the villa of the Nativity of Our Lady, near Puerto Caballos. Before his return to Mexico in 1526, he installed Hernando of Saavedra as governor of Honduras, and left instructions to treat the indigenous population well.
On 26 October 1526, Diego López of Salcedo was appointed governor of Honduras by the emperor, replacing Saavedra. The following decade was shaped by the personal ambitions of governors and conquistadors, which often came into conflict with the interests of governmental organisation. The colonial Spanish rebelled against their leaders, and the indigenous population rebelled against the Spanish landowners and their abuses. Criollo people were the most determined to obtain independence for Honduras. Paralleling what occurred in the Captaincy General of Guatemala, Honduras-born descendants of Spaniards began a movement to make the country independent, both from the Kingdom of Spain and from the Viceroyalty of New Spain. Liberal reforms were initiated to give them more local control over the economy and education.
Following the ea |
https://en.wikipedia.org/wiki/1960%E2%80%9361%20Galatasaray%20S.K.%20season | The 1960–61 season was Galatasaray's 57th in existence and the 3rd consecutive season in the Milli Lig. This article shows statistics of the club's players in the season, and also lists all matches that the club have played in the season.
Squad statistics
Players in / out
In
Out
Milli Lig
Standings
Matches
Friendly Matches
Kick-off listed in local time (EET)
Cemal Gürsel Kupası
Attendances
References
Tuncay, Bülent (2002). Galatasaray Tarihi. Yapı Kredi Yayınları
External links
Galatasaray Sports Club Official Website
Turkish Football Federation – Galatasaray A.Ş.
uefa.com – Galatasaray AŞ
Galatasaray S.K. (football) seasons
Turkish football clubs 1960–61 season
1960s in Istanbul |
https://en.wikipedia.org/wiki/Sophia%20Rabe-Hesketh | Sophia Rabe-Hesketh is a statistician who works as a professor in the Department of Educational Statistics and Biostatistics at the University of California, Berkeley. Her research involves the development of generalized linear mixed models of data that incorporate latent variables to handle hidden data.
Rabe-Hesketh earned a bachelor's degree in physics from King's College London in 1988. She completed her doctorate at King's College, also in theoretical physics, in 1992. Her dissertation concerned image analysis. After postdoctoral studies at the University of Leeds, she returned to King's College as a reader in statistics in the Department of Biostatistics and Computing, part of the Institute of Psychiatry there. She moved to Berkeley in 2003, with an additional part-time professorship at the University of London from 2006 to 2012. She became president of the Psychometric Society in 2014.
She is the author or co-author of multiple books, including The Analysis of Proximity Data (1997, with B. S. Everitt), Analyzing Medical Data using S-PLUS (2001, with B. S. Everitt), Generalized Latent Variable Modeling: Multilevel, Longitudinal and Structural Equation Models (2004, with A. Skrondal), A Handbook of Statistical Analyses Using Stata (4th ed., 2006, with B. S. Everitt), and Multilevel and Longitudinal Modeling Using Stata (3rd ed., in two vols., with A. Skrondal).
In 2014 she was elected as a Fellow of the American Statistical Association "for groundbreaking contributions to the field of generalized linear latent and mixed models for analysis of complex data in medicine, education, and the social sciences; for development of computational software; and for service to the profession." In 2015 she was elected to the National Academy of Education.
References
External links
Home page
Year of birth missing (living people)
Living people
American women statisticians
British statisticians
Academics of King's College London
Alumni of King's College London
University of California, Berkeley faculty
Fellows of the American Statistical Association
21st-century American women |
https://en.wikipedia.org/wiki/1911%E2%80%9312%20SK%20Rapid%20Wien%20season | The 1911–12 SK Rapid Wien season was the 14th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
References
1911-12 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1912%E2%80%9313%20SK%20Rapid%20Wien%20season | The 1912–13 SK Rapid Wien season was the 15th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
References
1912-13 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1913%E2%80%9314%20SK%20Rapid%20Wien%20season | The 1913–14 SK Rapid Wien season was the 16th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
References
1913-14 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1914%E2%80%9315%20SK%20Rapid%20Wien%20season | The 1914–15 SK Rapid Wien season was the 17th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
References
1914-15 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1915%E2%80%9316%20SK%20Rapid%20Wien%20season | The 1915–16 SK Rapid Wien season was the 18th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
References
1915-16 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1916%E2%80%9317%20SK%20Rapid%20Wien%20season | The 1916–17 SK Rapid Wien season was the 19th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
References
1916-17 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1917%E2%80%9318%20SK%20Rapid%20Wien%20season | The 1917–18 SK Rapid Wien season was the 20th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
References
1917-18 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1918%E2%80%9319%20SK%20Rapid%20Wien%20season | The 1918–19 SK Rapid Wien season was the 21st season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
References
1918-19 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/Squared%20ranks%20test | In statistics, the Conover squared ranks test is a non-parametric version of the parametric Levene's test for equality of variance. Conover's squared ranks test is the only equality of variance test that appears to be non-parametric. Other tests of significance of difference of data dispersion are parametric (i.e., are difference of variance tests). The squared ranks test is arguably a test of significance of difference of data dispersion not variance per se. This becomes important, for example, when the Levene's test fails to satisfy the rather generous conditions for normality associated with that test and is a default alternative under those conditions for certain statistical software programs like the VarianceEquivalenceTest routine in Mathematica. In addition to Levene's test, other parametric tests for equality of variance include the Bartlett, Brown-Forsythe, and Fisher Ratio tests.
References
Statistical tests
Analysis of variance |
https://en.wikipedia.org/wiki/McKay%20conjecture | In mathematics, specifically in the field of group theory, the McKay conjecture is a conjecture of equality between the number of irreducible complex characters of degree not divisible by a prime number to that of the normalizer of a Sylow -subgroup. It is named after Canadian mathematician John McKay.
Statement
Suppose is a prime number, is a finite group, and is a Sylow -subgroup. Define
where denotes the set of complex irreducible characters of the group . The McKay conjecture claims the equality
where is the normalizer of in .
References
(Corrected reprint of the 1976 original, published by Academic Press.)
Representation theory of groups |
https://en.wikipedia.org/wiki/Elizabeth%20A.%20Stuart | Elizabeth A. Stuart is a professor of mental health, biostatistics, and health policy and management in the Johns Hopkins Bloomberg School of Public Health. Her research involves causal inference and missing data in the statistics of mental health. She was a co-author on a study showing that post-suicide-attempt counseling can significantly reduce the risk of future suicide.
Education and Career
Stuart graduated from Smith College in 1997, with a mathematics major and chemistry minor. She completed her Ph.D. at Harvard University in 2004, in statistics, under the supervision of Donald Rubin. After working for two years as a researcher at Mathematica Policy Research, she joined the Johns Hopkins faculty in 2006.
Recognition
In 2014 she was elected as a Fellow of the American Statistical Association "for outstanding contributions to research in the estimation of causal effects; for extensive efforts in the dissemination of statistical methods in education and mental health, including the development of widely used software; and for extensive service to the ASA and the profession." In 2020, she was elected Fellow of the American Association for the Advancement of Science, in the Section on Statistics.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
Women statisticians
Johns Hopkins Bloomberg School of Public Health faculty
Fellows of the American Statistical Association
Harvard University alumni
Smith College alumni |
https://en.wikipedia.org/wiki/1919%E2%80%9320%20SK%20Rapid%20Wien%20season | The 1919–20 SK Rapid Wien season was the 22nd season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
References
1919-20 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/Topological%20Galois%20theory | In mathematics, topological Galois theory is a mathematical theory which originated from a topological proof of Abel's impossibility theorem found by V. I. Arnold and concerns the applications of some topological concepts to some problems in the field of Galois theory. It connects many ideas from algebra to ideas in topology. As described in Khovanskii's book: "According to this theory, the way the Riemann surface of an analytic function covers the plane of complex numbers can obstruct the representability of this function by explicit formulas. The strongest known results on the unexpressibility of functions by explicit formulas have been obtained in this way."
References
Galois theory
Topology |
https://en.wikipedia.org/wiki/Attila%20F.%20Bal%C3%A1zs | Attila F. Balázs (Târgu Mureș, 15 January 1954) is a poet, writer, translator, editor, and publisher.
Life and work
Born in Târgu Mureș, he was a student of the high school of Ditrău (Mathematics-Physics). He continued his studies at the Institute of Catholic Theology in Alba Iulia. He graduated in Library science and Literary translation in Bucharest. He worked as a librarian at the Harghita County Library in Miercurea Ciuc until 1989. In 1990, he moved to Slovakia. Between 1990 and 1992 he was an editor of Szabad Újsag (Bratislava), collaborated to Új Szó and was the manager of the Madách Publishing House in Bratislava. In 1994, he founded AB-ART Publishing (Bratislava), of which he is the director since then. He is a founding editor of Poesis International Satu Mare and editor-in-chief of Szőrös Kő. He is a member of the Hungarian Writers' Union, of the Writers' Union of Romania, of the Hungarian PEN Club, of the Hungarian Writers' Association of Slovakia and of the League of Hungarian Writers of Transylvania. He is the vice-president of Dellart cultural association (Cluj-Napoca). As the author of more than a dozen collections of poetry and the translator of more than twenty books of poetry and fiction, Attila F. Balázs has received numerous awards and prizes in acknowledgement of his various literary activities (Madách Prize, Lucian Blaga Prize, Arghezi Prize). His works have been translated in 15 languages. As an invited poet, he is a regular participant of diverse literary festivals all around the world (Nicaragua, Colombia, Venezuela, Canada, Turkey, Ecuador).
Bibliography
Poetry collections
1992 : Maszkok (poetry), Madách, Bratislava, Madách Prize.
1992 : A macska leve (short fiction), Microgramma, Bratislava.
2002 : Meztelen lovagok (poetry), AB-ART, Bratislava.
2003 : Arcképcsarnok (educational series on literature), AB-ART, Bratislava.
2005 : Szókeresztem (selected poetry), Lilium Aurum, Dunajská Streda.
2006 : Casanova átváltozásai – Premeny Casanovu (bilingual collection of poetry, Hungarian-Slovakian, Plectrum.
2007 : Kortárs román költők (trans., ed.)
2007 : Antologia sucasnej rumunskej poezie (trans.)
2008 : Menekülés a gettóból (translations), AB-ART, Bratislava.
2008 : Missa bestialis, Limes, Cluj-Napoca, 2008.
2009 : Egy zacskó cseresznye (Anthology of contemporary Romanian poetry), AB-ART, Bratislava.
2010 : Versek / Poezii. Bilingual edition (Hungarian-Romanian). Limes / Dellart.
2010 : Minimál (new poems), AB-ART, Bratislava.
2011 : KÉK (new poems), AB-ART, Bratislava.
2011 : Metamorfozele lui Casanova, translated by I. Foarta, Grinta, Cluj-Napoca.
2011 : Minimal, translated by Enikő Thiele-Csekei and Timo Berger, Gabrielle Schaefer Verlag, Herne.
2012 : Casanova átváltozásai, (short fiction) AB-ART, Bratislava.
2012 : The Scene, (poetry in 12 languages), Orient-Occident, Bucharest.
2012 : Prelomljeni hleb, (poetry in Serbian, translated by Jolanka Kováč), Libertatea, Pančevo.
2012 : Gordiev Jazol, (poetry in Macedoni |
https://en.wikipedia.org/wiki/Hans%20Rohrbach | Hans Rohrbach (27 February 1903 – 19 December 1993) was a German mathematician. He worked both as an algebraist and a number theorist and later worked as cryptanalyst at Pers Z S, the German Foreign Office cipher bureau, during World War II. He was latterly known as the person who broke the American diplomatic O-2 cypher, a variant of the M-138-A strip cipher during 1943. Rohrbach wrote a report on the breaking of the strip cypher when he was captured by TICOM, the allied effort to roundup and seize captured German intelligence people and material.
Life
Hans Rohrbach was a son of journalist Paul Rohrbach and his wife Clara (née Müller), who were married in Berlin in 1897. There was always confusion around Rohrbachs' name; one source gives his full name as Hans Joachim Albert Rohrbach, while the mathematician Bernhard Neumann believed this full name to be Hans Wolfgang Rohrbach, and was sure his middle initial was a 'W'.
Rohrbach entered the Gymnasium (school) at Berlin-Friedenau in the autumn of 1909 and studied there until Autumn 1917. He then entered the Fichte Gymnasium in Berlin-Wilmersdorf. After having successfully passed the school leaving exam in 1921, he entered the Friedrich-Wilhelm University in Berlin, where he studied mathematics, physics, and philosophy for two years. In 1923, as a head of the Berlin student organization Mathematisch-Physikalische Arbeitsgemeinschaft (Mathematics and Physics Working Group), he went with his father to the United States. The visit, which Rohrbach called his propaganda visit, was a tour of American universities to raise money for impoverished Berlin students. Germany's economy, which was undergoing a period of hyperinflation, was making life extremely difficult for students, who had to take employment to supplement their income.
In the autumn of 1924 Rohrbach resumed his studies at the University of Berlin and studied there until 1929. In the late 1920s he started work on his PhD thesis, titled Die Charaktere der binären Kongruenzgruppen mod p2 (The characters of the binary congruence groups mod p2), advised by Issai Schur. He submitted it and was awarded his doctorate on 25 July 1932.
While studying at Berlin University, Rohrbach met fellow student Rose Gadebusch (born 1905), who studied mathematics starting in 1925. Gadebusch took a major role in the Mathematisch-Physikalische Arbeitsgemeinschaft. After graduation she took a position at the Women's Gymnasium. Rohrbach married her sometime around 1932.
Career
In 1936, Rohrbach was appointed senior assistant at the University of Göttingen. In 1937, he undertook his habilitation there with a thesis paper titled Ein Beitrag zur additiven Zahlentheorie nebst einer Anwendung auf eine Gruppentheoretische Frage (A contribution to additive number theory together with an application on a group theoretical question).
On 1 April 1938 he was appointed as a senior assistant at the Mathematical Institute of the German University of Prague. In 1941 he was prom |
https://en.wikipedia.org/wiki/1935%E2%80%9336%20SK%20Rapid%20Wien%20season | The 1935–36 SK Rapid Wien season was the 38th season in club history.
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References
1935-36 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1936%E2%80%9337%20SK%20Rapid%20Wien%20season | The 1936–37 SK Rapid Wien season was the 39th season in club history.
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References
1936-37 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1937%E2%80%9338%20SK%20Rapid%20Wien%20season | The 1937–38 SK Rapid Wien season was the 40th season in club history.
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Squad and statistics
Squad statistics
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References
1937-38 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1938%E2%80%9339%20SK%20Rapid%20Wien%20season | The 1938–39 SK Rapid Wien season was the 41st season in club history.
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Squad and statistics
Squad statistics
Fixtures and results
Gauliga
Tschammerpokal
References
1938-39 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1939%E2%80%9340%20SK%20Rapid%20Wien%20season | The 1939–40 SK Rapid Wien season was the 42nd season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
Gauliga
German championship
Tschammerpokal
References
1939-40 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1940%E2%80%9341%20SK%20Rapid%20Wien%20season | The 1940–41 SK Rapid Wien season was the 43rd season in club history.
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Squad and statistics
Squad statistics
Fixtures and results
Gauliga
German championship
Tschammerpokal
References
1940–41 Rapid Wien Season
Rapid
1940–41 |
https://en.wikipedia.org/wiki/1941%E2%80%9342%20SK%20Rapid%20Wien%20season | The 1941–42 SK Rapid Wien season was the 44th season in club history.
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Squad and statistics
Squad statistics
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Gauliga
Tschammerpokal
References
1941-42 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1942%E2%80%9343%20SK%20Rapid%20Wien%20season | The 1942–43 SK Rapid Wien season was the 45th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
Gauliga
Tschammerpokal
References
1942-43 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1943%E2%80%9344%20SK%20Rapid%20Wien%20season | The 1943–44 SK Rapid Wien season was the 46th season in club history.
Squad
Squad and statistics
Squad statistics
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Gauliga
Tschammerpokal
References
1943-44 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1944%E2%80%9345%20SK%20Rapid%20Wien%20season | The 1944–45 SK Rapid Wien season was the 47th season in club history.
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Squad and statistics
Squad statistics
Fixtures and results
Gauliga
The competition was abandoned due to war. The games played are usually not counted in official statistics.
Tschammerpokal
References
1944-45 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1945%E2%80%9346%20SK%20Rapid%20Wien%20season | The 1945–46 SK Rapid Wien season was the 48th season in club history.
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Cup
References
1945-46 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1946%E2%80%9347%20SK%20Rapid%20Wien%20season | The 1946–47 SK Rapid Wien season was the 49th season in club history.
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Squad and statistics
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Cup
References
1946-47 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1947%E2%80%9348%20SK%20Rapid%20Wien%20season | The 1947–48 SK Rapid Wien season was the 50th season in club history.
Squad
Squad and statistics
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Cup
References
1947-48 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1948%E2%80%9349%20SK%20Rapid%20Wien%20season | The 1948–49 SK Rapid Wien season was the 51st season in club history.
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Squad and statistics
Squad statistics
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League
Cup
References
1948-49 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1949%E2%80%9350%20SK%20Rapid%20Wien%20season | The 1949–50 SK Rapid Wien season was the 52nd season in club history.
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Squad and statistics
Squad statistics
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League
References
1949-50 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1950%E2%80%9351%20SK%20Rapid%20Wien%20season | The 1950–51 SK Rapid Wien season was the 53rd season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Zentropa Cup
References
1950-51 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1951%E2%80%9352%20SK%20Rapid%20Wien%20season | The 1951–52 SK Rapid Wien season was the 54th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
References
1951-52 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1952%E2%80%9353%20SK%20Rapid%20Wien%20season | The 1952–53 SK Rapid Wien season was the 55th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
References
1952-53 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1953%E2%80%9354%20SK%20Rapid%20Wien%20season | The 1953–54 SK Rapid Wien season was the 56th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
References
1953-54 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1954%E2%80%9355%20SK%20Rapid%20Wien%20season | The 1954–55 SK Rapid Wien season was the 57th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
References
1954-55 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1955%E2%80%9356%20SK%20Rapid%20Wien%20season | The 1955–56 SK Rapid Wien season was the 58th season in club history.
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Squad and statistics
Squad statistics
Fixtures and results
League
European Cup
Mitropa Cup
References
1955-56 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/Dylan%20Mavin | Dylan Mavin is an Australian motorcycle racer. In 2008 and 2009 he was a competitor in the Red Bull MotoGP Rookies Cup racing series.
Career statistics
Red Bull MotoGP Rookies Cup
Races by year
(key) (Races in bold indicate pole position, races in italics indicate fastest lap)
Grand Prix motorcycle racing
By season
Races by year
References
External links
http://www.motogp.com/en/riders/Dylan+Mavin
https://www.redbull.com/int-en/rookiescup/riders/athlete-profile-dylan-mavin
Living people
Australian motorcycle racers
125cc World Championship riders
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/1956%E2%80%9357%20SK%20Rapid%20Wien%20season | The 1956–57 SK Rapid Wien season was the 59th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
European Cup
Mitropa Cup
References
1956-57 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1957%E2%80%9358%20SK%20Rapid%20Wien%20season | The 1957–58 SK Rapid Wien season was the 60th season in club history.
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Squad statistics
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League
European Cup
References
1957-58 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1958%E2%80%9359%20SK%20Rapid%20Wien%20season | The 1958–59 SK Rapid Wien season was the 61st season in club history.
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Cup
References
1958-59 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1959%E2%80%9360%20SK%20Rapid%20Wien%20season | The 1959–60 SK Rapid Wien season was the 62nd season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
References
1959-60 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1960%E2%80%9361%20SK%20Rapid%20Wien%20season | The 1960–61 SK Rapid Wien season was the 63rd season in club history.
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Squad and statistics
Squad statistics
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League
Cup
European Cup
References
1960-61 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1961%E2%80%9362%20SK%20Rapid%20Wien%20season | The 1961–62 SK Rapid Wien season was the 64th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
Cup Winners' Cup
References
1961-62 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1962%E2%80%9363%20SK%20Rapid%20Wien%20season | The 1962–63 SK Rapid Wien season was the 65th season in club history.
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Cup
Inter-Cities Fairs Cup
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1962-63 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/Analytic%20Combinatorics | Analytic Combinatorics is a book on the mathematics of combinatorial enumeration, using generating functions and complex analysis to understand the growth rates of the numbers of combinatorial objects. It was written by Philippe Flajolet and Robert Sedgewick, and published by the Cambridge University Press in 2009. It won the Leroy P. Steele Prize in 2019.
Topics
The main part of the book is organized into three parts. The first part, covering three chapters and roughly the first quarter of the book, concerns the symbolic method in combinatorics, in which classes of combinatorial objects are associated with formulas that describe their structures, and then those formulas are reinterpreted to produce the generating functions or exponential generating functions of the classes, in some cases using tools such as the Lagrange inversion theorem as part of the reinterpretation process. The chapters in this part divide the material into the enumeration of unlabeled objects, the enumeration of labeled objects, and multivariate generating functions.
The five chapters of the second part of the book, roughly half of the text and "the heart of the book", concern the application of tools from complex analysis to the generating function, in order to understand the asymptotics of the numbers of objects in a combinatorial class. In particular, for sufficiently well-behaved generating functions, Cauchy's integral formula can be used to recover the power series coefficients (the real object of study) from the generating function, and knowledge of the singularities of the function can be used to derive accurate estimates of the resulting integrals. After an introductory chapter and a chapter giving examples of the possible behaviors of rational functions and meromorphic functions, the remaining chapters of this part discuss the way the singularities of a function can be used to analyze the asymptotic behavior of its power series, apply this method to a large number of combinatorial examples, and study the saddle-point method of contour integration for handling some trickier examples.
The final part investigates the behavior of random combinatorial structures, rather than the total number of structures, using the same toolbox. Beyond expected values for combinatorial quantities of interest, it also studies limit theorems and large deviations theory for these quantities. Three appendices provide background on combinatorics and asymptotics, in complex analysis, and in probability theory.
The combinatorial structures that are investigated throughout the book range widely over sequences, formal languages, partitions and compositions, permutations, graphs and paths in graphs, and lattice paths. With these topics, the analysis in the book connects to applications in other areas including abstract algebra, number theory, and the analysis of algorithms.
Audience and reception
Analytic Combinatorics is not primarily a textbook; for instance, it has no exercises. Neverthe |
https://en.wikipedia.org/wiki/Kazhdan%E2%80%93Margulis%20theorem | In Lie theory, an area of mathematics, the Kazhdan–Margulis theorem is a statement asserting that a discrete subgroup in semisimple Lie groups cannot be too dense in the group. More precisely, in any such Lie group there is a uniform neighbourhood of the identity element such that every lattice in the group has a conjugate whose intersection with this neighbourhood contains only the identity. This result was proven in the 1960s by David Kazhdan and Grigory Margulis.
Statement and remarks
The formal statement of the Kazhdan–Margulis theorem is as follows.
Let be a semisimple Lie group: there exists an open neighbourhood of the identity in such that for any discrete subgroup there is an element satisfying .
Note that in general Lie groups this statement is far from being true; in particular, in a nilpotent Lie group, for any neighbourhood of the identity there exists a lattice in the group which is generated by its intersection with the neighbourhood: for example, in , the lattice satisfies this property for small enough.
Proof
The main technical result of Kazhdan–Margulis, which is interesting in its own right and from which the better-known statement above follows immediately, is the following.
Given a semisimple Lie group without compact factors endowed with a norm , there exists , a neighbourhood of in , a compact subset such that, for any discrete subgroup there exists a such that for all .
The neighbourhood is obtained as a Zassenhaus neighbourhood of the identity in : the theorem then follows by standard Lie-theoretic arguments.
There also exist other proofs. There is one proof which is more geometric in nature and which can give more information, and there is a third proof, relying on the notion of invariant random subgroups, which is considerably shorter.
Applications
Selberg's hypothesis
One of the motivations of Kazhdan–Margulis was to prove the following statement, known at the time as Selberg's hypothesis (recall that a lattice is called uniform if its quotient space is compact):
A lattice in a semisimple Lie group is non-uniform if and only if it contains a unipotent element.
This result follows from the more technical version of the Kazhdan–Margulis theorem and the fact that only unipotent elements can be conjugated arbitrarily close (for a given element) to the identity.
Volumes of locally symmetric spaces
A corollary of the theorem is that the locally symmetric spaces and orbifolds associated to lattices in a semisimple Lie group cannot have arbitrarily small volume (given a normalisation for the Haar measure).
For hyperbolic surfaces this is due to Siegel, and there is an explicit lower bound of for the smallest covolume of a quotient of the hyperbolic plane by a lattice in (see Hurwitz's automorphisms theorem). For hyperbolic three-manifolds the lattice of minimal volume is known and its covolume is about 0.0390. In higher dimensions the problem of finding the lattice of minimal volume is |
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The Pratiharas of Mandavyapura (IAST: Pratīhāras of Māṇḍavyapura), also known as the Pratiharas of Mandore (or Mandor), were an Indian dynasty. They ruled parts of the present-day Rajasthan between 6th and 9th centuries CE. They first established their capital at Mandavyapura (modern Mandore), and later ruled from Medantaka (modern Merta).
Origins
The origin of the dynasty is described in two inscriptions: the 837 CE Jodhpur inscription of Bauka and the 861 CE Ghantiyala (or Ghatiyala) inscription of Kakkuka. According to the two inscriptions, the family descended from the brother of Ramabhadra. This brother is identified as the legendary hero Lakshmana, the brother of Rama. He is said to have as a door-keeper ("pratihara") for his elder brother Rama, because of which the family came to be known as Pratihara. The imperial Pratiharas also claimed descent from the legendary hero Lakshmana. The members of the two families also share identical names such as Bhoja, Kakkuka and Nagabhata. Based on these evidences, it appears that the two families were related, although the exact relationship between them is not known. It appears that the Pratiharas of Mandavyapura ultimately became feudatory of the imperial Pratiharas.
The earliest known historical members of the family are Harichandra and his second wife Bhadra. In Pratihāra inscriptions, Harichandra is mentioned as Brahmana (vipra), while Bhadra came from a Kshatriya noble family. They had four sons: Bhogabhatta, Kakka, Rajjila and Dadda. These four men captured Mandavyapura and erected a rampart there. It is not known where the family lived before the conquest of Mandavyapura.
A 625 CE inscription of a feudatory ruler named Rajilla has been found at Vasantgarh. This Rajilla and his father Vajrabhata Satyashraya were vassals of the Chapotkata ruler Varmalata. B. N. Puri identified this Rajilla as Harichandra's son Rajilla, although the names of their fathers are different according to epigraphic evidence. Puri argued that the members of the two families shared similar names such as Tata, Bapaka and Bauka, and names ending in -bhata (Vajrabhata and Nagabhata).
In later period the Pratiharas were categorized as the Agnivanshi |
https://en.wikipedia.org/wiki/Istituto%20per%20le%20Applicazioni%20del%20Calcolo%20Mauro%20Picone | The Istituto per le Applicazioni del Calcolo Mauro Picone (), abbreviated IAC, is an applied mathematics institute, part of the Consiglio Nazionale delle Ricerche. It was founded in 1927 as a private research institute by Mauro Picone, and as such it is considered the first applied and computational mathematics institute of such kind ever founded.
Historical notes
The IAC was founded 1927 by Mauro Picone, while working at the University of Naples Federico II and at the Istituto Universitario Navale as professor of infinitesimal calculus. Luigi Amoroso also contributed to the founding of the institute, by providing to his former Normale schoolfellow Picone the funding for the creation of the Institute by means of the Banco di Napoli.
It was only in 1932, when Picone moved from the University of Naples to the Sapienza University of Rome, that the Institute became part of the Italian National Research Council.
See also
Istituto Nazionale di Alta Matematica Francesco Severi
Notes
References
. () A survey paper on the contribution of Mauro Picone and his school to applied mathematics through the foundation and the direction of the "Istituto per le Applicazioni del Calcolo".
. The preprint version of the original paper is downloadable from the author's academic web page.
, previously published as .
. The chapter on Picone in a book collecting brief biographical sketches and bibliographies of the scientific works produced by the mathematicians who taught at the Parthenope University of Naples during their stay.
. An ample survey paper on results on the solutions of linear integral and partial differential equation obtained by the research team of Mauro Picone at the Istituto Nazionale per le Applicazioni del Calcolo, by using methods from functional analysis.
. "" is an historical conference on the work and personality of Mauro Picone, pronounced by Gaetano Fichera.
. Fichera's "last lesson" of the course of higher analysis, given on the occasion of his retirement from university teaching in 1992.
.
. "Mauro Picone and the Istituto Nazionale per le Applicazioni del Calcolo" is a brief historical survey of Picone's role in the founding of the Istituto Nazionale per le Applicazioni del Calcolo: the Author is one of his pupils, former workers and then director of the institute. It was presented at the International congress in occasion of the celebration of the centenary of birth of Mauro Picone and Leonida Tonelli (held in Rome on May 6–9, 1985): an English translation of the title of the conference is:-The work of Leonida Tonelli and his influence on scientific thinking in this century.
. This work completes the survey of with the same title, by elucidating the role of some scientists and adding a further bibliography.
Mathematical institutes
Organizations established in 1927
Research institutes in Italy
1927 establishments in Italy |
https://en.wikipedia.org/wiki/Stuart%20Dalziel | Stuart Bruce Dalziel is a British and New Zealand fluid dynamicist. He is currently based at the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge, where he has directed the GKB Laboratory since 1997. He was promoted to the rank of Professor in 2016.
Dalziel completed his PhD in Cambridge in 1988, under the supervision of Paul Linden.
Dalziel's research areas include stratified turbulence and internal gravity waves.
References
Year of birth missing (living people)
Living people
Fluid dynamicists
British physicists
New Zealand physicists
Fellows of the American Physical Society
20th-century New Zealand physicists
21st-century British physicists |
https://en.wikipedia.org/wiki/Wim%20Blok | Willem Johannes "Wim" Blok (1947–2003) was a Dutch logician who made major contributions to algebraic logic, universal algebra, and modal logic. His important achievements over the course of his career include "a brilliant demonstration of the fact that various techniques and results that originated in universal algebra can be used to prove significant and deep theorems in modal logic."
Blok began his career in 1973 as an algebraist investigating the varieties of interior algebras at the University of Illinois at Chicago. Following the 1976 completion of his Ph.D. on that topic, he continued on to study more general varieties of modal algebras. As an algebraist, Blok "was recognised by the modal logic community as one of the most influential modal logicians" by the end of the 1970s. He published many papers in the Reports on Mathematical Logic, served as a member on their editorial board, and was one of their guest editors. Along with Don Pigozzi, Wim Blok co-authored the monograph Algebraizable Logics, which began the field now known as abstract algebraic logic.
He died in a car accident on November 30, 2003.
See also
Abstract algebraic logic
Blok–Esakia isomorphism
Leibniz operator
References
1947 births
2003 deaths
Dutch logicians
Modal logicians |
https://en.wikipedia.org/wiki/Richard%20Murray%20%28mathematician%29 | Richard Murray (1725?–1799) was an Irish mathematician and academic, who spent his whole career Trinity College Dublin (TCD), serving both as Erasmus Smith's Professor of Mathematics (1764–1795) and Provost (1795–1799).
Career
Richard Murray was born in County Down, to William Murray (merchant). He matriculated at TCD on 30 May 1743, aged 16, and was a Scholar there in 1745. He was awarded BA (1747), MA and Fellow (1750), BD (1759), and DD (1762). He was Donegall Lecturer in Mathematics (1762–1764), and then became the second Erasmus Smith's Professor of Mathematics (1764–1795). He was also Librarian, was appointed Vice-Provost in 1782, and served as Provost from 1795 until his death.
He is perhaps best remembered for his book Artis logicæ compendium (S. Hooper, 1773), "In usum juventutis collegii Dubliniensis", which was translated in 1852 by John Walker as Murray's Compendium of Logic.
References
1720s births
1799 deaths
Donegall Lecturers of Mathematics at Trinity College Dublin
18th-century Irish mathematicians
Scholars and academics from County Down
Provosts of Trinity College Dublin
Year of birth uncertain
Scientists from County Down |
https://en.wikipedia.org/wiki/One-relator%20group | In the mathematical subject of group theory, a one-relator group is a group given by a group presentation with a single defining relation. One-relator groups play an important role in geometric group theory by providing many explicit examples of finitely presented groups.
Formal definition
A one-relator group is a group G that admits a group presentation of the form
where X is a set (in general possibly infinite), and where is a freely and cyclically reduced word.
If Y is the set of all letters that appear in r and then
For that reason X in () is usually assumed to be finite where one-relator groups are discussed, in which case () can be rewritten more explicitly as
where for some integer
Freiheitssatz
Let G be a one-relator group given by presentation () above. Recall that r is a freely and cyclically reduced word in F(X). Let be a letter such that or appears in r. Let . The subgroup is called a Magnus subgroup of G.
A famous 1930 theorem of Wilhelm Magnus, known as Freiheitssatz, states that in this situation H is freely generated by , that is, . See also for other proofs.
Properties of one-relator groups
Here we assume that a one-relator group G is given by presentation () with a finite generating set and a nontrivial freely and cyclically reduced defining relation .
A one-relator group G is torsion-free if and only if is not a proper power.
Every one-relator group G is virtually torsion-free, that is, admits a torsion-free subgroup of finite index.
A one-relator presentation is diagrammatically aspherical.
If is not a proper power then the presentation complex P for presentation () is a finite Eilenberg–MacLane complex .
If is not a proper power then a one-relator group G has cohomological dimension .
A one-relator group G is free if and only if is a primitive element; in this case G is free of rank n − 1.
Suppose the element is of minimal length under the action of , and suppose that for every either or occurs in r. Then the group G is freely indecomposable.
If is not a proper power then a one-relator group G is locally indicable, that is, every nontrivial finitely generated subgroup of G admits a group homomorphism onto .
Every one-relator group G has algorithmically decidable word problem.
If G is a one-relator group and is a Magnus subgroup then the subgroup membership problem for H in G is decidable.
It is unknown if one-relator groups have solvable conjugacy problem.
It is unknown if the isomorphism problem is decidable for the class of one-relator groups.
A one-relator group G given by presentation () has rank n (that is, it cannot be generated by fewer than n elements) unless is a primitive element.
Let G be a one-relator group given by presentation (). If then the center of G is trivial, . If and G is non-abelian with non-trivial center, then the center of G is infinite cyclic.
Let where . Let and be the normal closures of r and s in F(X) accordingly. Then if and only |
https://en.wikipedia.org/wiki/Marja%20V%C3%A4is%C3%A4l%C3%A4 | Marja Ilmatar Väisälä (9 May 1916, Helsinki, Finland – 21 December 2011, Turku) was a Finnish teacher of mathematics and natural sciences, who in 1950 founded a private school in Swakopmund in what is now Namibia, where she taught the children of Finnish missionaries. She also discovered two asteroids, 1718 Namibia and 2437 Amnestia, at the Turku Observatory in 1942.
Background
Marja Väisälä was the daughter of astronomer Yrjö Väisälä, a renowned discoverer of minor planets. After she graduated from the university, she was going to start working as his father's assistant. However, she had heard from one of the student friends, Lahja Väänänen, of missionary work in Ovamboland. Väänänen's parents, missionaries Nestor Wäänänen and Martta Wäänänen, had worked as in Ovamboland, Nestor during 1907–1918 and 1921–1928 and Martta during 1909–1918 and 1921–1928, and Lahja herself was born in Ongandjera, Ovamboland, in 1915, so she was personally familiar with the missionary work in Ovamboland. Later she also worked in South West Africa herself, in Kavango during 1947–1953.
Work in Swakopmund
Preparing for her work
Väisälä arrived in Africa in 1949. She spent her first year there in South Africa, studying the most important languages in Southern Africa, English and Afrikaans, and the local culture. South West Africa was for all practical purposes the fifth province of South Africa at the time.
The location of the school
Before Väisälä arrived in South West Africa, the Finnish missionaries there had heard of a “master of sciences in astronomy”, and they were afraid that such a highly learned person might not be suitable for teaching small children. However, Väisälä turned out to be excellent both in pedagogics and organization.
At the time, the Finnish missionaries were debating where the future Finnish school should be founded. Some of the missionaries favoured Ovamboland, and it is clear that they were thinking that some of the children would be able to live at home when attending the school. However, the children whose homes were in Kavango would not have had the same benefits, as their journeys home during vacations would have been much longer than for the other children.
Väisälä favoured Swakopmund for two reasons. First, the weather was better for children there than in Ovamboland, and there they would also be safe from the diseases that were encountered in Ovamboland, e.g. malaria. It would also be possible for the children to engage in sports activities, since the climate was cooler.
Väisälä also considered the cultural atmosphere of Swakopmund to be better there than that of Ovamboland. The matter was finally resolved by the board of the Finnish Missionary Society, which, like Väisänen, favoured Swakopmund as the location of the new school.
The school facilities
Väisälä started the school in rented premises in 1950, but it soon turned out that the premises were not large enough. The owners, too, informed her that they were going to sell the |
https://en.wikipedia.org/wiki/1920%E2%80%9321%20SK%20Rapid%20Wien%20season | The 1920–21 SK Rapid Wien season was the 23rd season in club history.
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1920-21 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1921%E2%80%9322%20SK%20Rapid%20Wien%20season | The 1921–22 SK Rapid Wien season was the 24th season in club history.
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1921-22 Rapid Wien Season
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https://en.wikipedia.org/wiki/1922%E2%80%9323%20SK%20Rapid%20Wien%20season | The 1922–23 SK Rapid Wien season was the 25th season in club history.
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1922-23 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1923%E2%80%9324%20SK%20Rapid%20Wien%20season | The 1923–24 SK Rapid Wien season was the 26th season in club history.
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1923-24 Rapid Wien Season
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https://en.wikipedia.org/wiki/1924%E2%80%9325%20SK%20Rapid%20Wien%20season | The 1924–25 SK Rapid Wien season was the 27th season in club history.
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1924-25 Rapid Wien Season
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https://en.wikipedia.org/wiki/1925%E2%80%9326%20SK%20Rapid%20Wien%20season | The 1925–26 SK Rapid Wien season was the 28th season in club history.
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1925-26 Rapid Wien Season
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https://en.wikipedia.org/wiki/1926%E2%80%9327%20SK%20Rapid%20Wien%20season | The 1926–27 SK Rapid Wien season was the 29th season in club history.
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1926-27 Rapid Wien Season
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https://en.wikipedia.org/wiki/1927%E2%80%9328%20SK%20Rapid%20Wien%20season | The 1927–28 SK Rapid Wien season was the 30th season in club history.
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1927-28 Rapid Wien Season
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https://en.wikipedia.org/wiki/1928%E2%80%9329%20SK%20Rapid%20Wien%20season | The 1928–29 SK Rapid Wien season was the 31st season in club history.
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1928-29 Rapid Wien Season
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https://en.wikipedia.org/wiki/1929%E2%80%9330%20SK%20Rapid%20Wien%20season | The 1929–30 SK Rapid Wien season was the 32nd season in club history.
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1929-30 Rapid Wien Season
Rapid
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https://en.wikipedia.org/wiki/1930%E2%80%9331%20SK%20Rapid%20Wien%20season | The 1930–31 SK Rapid Wien season was the 33rd season in club history.
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1930-31 Rapid Wien Season
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https://en.wikipedia.org/wiki/1931%E2%80%9332%20SK%20Rapid%20Wien%20season | The 1931–32 SK Rapid Wien season was the 34th season in club history.
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1931-32 Rapid Wien Season
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https://en.wikipedia.org/wiki/1932%E2%80%9333%20SK%20Rapid%20Wien%20season | The 1932–33 SK Rapid Wien season was the 35th season in club history.
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1932-33 Rapid Wien Season
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https://en.wikipedia.org/wiki/1933%E2%80%9334%20SK%20Rapid%20Wien%20season | The 1933–34 SK Rapid Wien season was the 36th season in club history.
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1933-34 Rapid Wien Season
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https://en.wikipedia.org/wiki/1934%E2%80%9335%20SK%20Rapid%20Wien%20season | The 1934–35 SK Rapid Wien season was the 37th season in club history.
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1934-35 Rapid Wien Season
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