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https://en.wikipedia.org/wiki/Journal%20de%20Th%C3%A9orie%20des%20Nombres%20de%20Bordeaux | The Journal de Théorie des Nombres de Bordeaux is a triannual peer-reviewed open-access scientific journal covering number theory and related topics. It was established in 1989 and is published by the Institut de Mathématiques de Bordeaux on behalf of the Société Arithmétique de Bordeaux. The editor-in-chief is Denis Benois (University of Bordeaux).
Abstracting and indexing
The journal is abstracted and indexed in Current Contents/Physical, Chemical & Earth Sciences, Zentralblatt MATH, Mathematical Reviews, Science Citation Index Expanded, and Scopus. According to the Journal Citation Reports, the journal has a 2015 impact factor of 0.294.
References
External links
Mathematics journals
Multilingual journals
Triannual journals
Academic journals established in 1989 |
https://en.wikipedia.org/wiki/Michael%20D.%20Fried | Michael David Fried is an American mathematician working in the geometry and arithmetic of families of nonsingular projective curve covers.
Career
Fried received his undergraduate degree from Michigan State University in electrical engineering and then worked for three years as an aerospace electrical engineer. He then received his PhD from University of Michigan in Mathematics in 1967 under Donald John Lewis.
He spent two years as a postdoctoral researcher at the Institute for Advanced Study (1967–1969). He was a professor at Stony Brook University (8 years), University of California at Irvine (26 years), University of Florida (3 years) and Hebrew University (2 years). He has held visiting appointments at MIT, MSRI, University of Michigan, University of Florida, Hebrew University and Tel Aviv University.
He has been an editor on several mathematics journals including the Research Announcements of the Bulletin of the American Mathematical Society, and the Journal of Finite Fields and its Applications.
Awards
He was included in the inaugural (2013) class of Fellows of the American Mathematical Society. He was also a Sloan Fellow (1972–1974), Lady Davis Fellow at Hebrew University (1987–1988), Fulbright scholar at Helsinki University (1982–1983), and Alexander von Humboldt Research Fellow (1994–1996).
See also
Field arithmetic
References
External links
Michael Fried's Home Page
Living people
20th-century American mathematicians
21st-century American mathematicians
Algebraists
Algebraic geometers
Number theorists
Fellows of the American Mathematical Society
Horace H. Rackham School of Graduate Studies alumni
Sloan Research Fellows
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Thomas%20G.%20Kurtz | Thomas G. Kurtz (born 14 July 1941 in Kansas City, Missouri, United States) is an American emeritus professor of Mathematics and Statistics at University of Wisconsin-Madison known for his research contributions to many areas of probability theory and stochastic processes. In particular, Kurtz’s research focuses on convergence, approximation and representation of several important classes of Markov processes. His findings appear in scientific disciplines such as systems biology, population genetics, telecommunications networks and mathematical finance.
Education
Kurtz obtained his Ph.D. from Stanford University in 1967 under the supervision of James L. McGregor. As an undergraduate student he attended University of Missouri where he graduated in 1963 with a Bachelor's degree in Mathematics. Kurtz is also an alumnus of La Plata High School in La Plata, Missouri.
Academic career
After completing his Ph.D. in 1967, Kurtz joined the Department of Mathematics at the University of Wisconsin–Madison where he remained for his entire career. He received a joint appointment in the Statistics department in 1985. In 1996, he was awarded the WARF-University Houses Professorship, which he chose to identify as the Paul Lévy Professorship to honor one of the founders of modern probability theory. At UW Madison, Kurtz served as the Mathematics Department Chair from 1985 to 1988 and as the Director of the Center for Mathematical Sciences from 1990 to 1996. He retired from active teaching in 2008 but he continues to work as an emeritus professor. During his academic career Kurtz has supervised twenty-nine Ph.D. students and lectured extensively at UW Madison and elsewhere. For almost a decade, he organized a Summer Internship Program in Madison, which helped in grooming the next generation of probabilists.
Kurtz has given several invited seminars and tutorials around the world. Over the years he has also held many visiting positions, which include:
Nelder Visiting Fellow, Imperial College, London, U.K. April–May 2016.
Guest Professor, Goethe University, Frankfurt, Germany, May–June, 2013.
Visiting Fellow, Isaac Newton Institute for Mathematical Sciences, Cambridge, U.K, February–May, 2010.
Very Important Visitor (VIV), Institute for Mathematics and its Applications, Minneapolis, 2003–2004.
Visiting Professor, Stanford University, April–June, 1989
Visiting Professor, University of Utah, Salt Lake City, January–March, 1989
Visiting Professor, Université de Strasbourg, France, 1977–1978.
Visiting Fellow, Australian National University, Canberra, 1973.
Prof. Kurtz has served in many scientific committees and Editorial boards of academic journals. He is currently a trustee of the Mathematical Biosciences Institute in Columbus, Ohio.
Awards and honors
Kurtz is a former president of the Institute of Mathematical Statistics (2005–2006) and a former editor of the Annals of Probability (2000–2002). He is a Fellow of the Institute of Mathematical Statistics (IM |
https://en.wikipedia.org/wiki/Quasi-abelian%20category | In mathematics, specifically in category theory, a quasi-abelian category is a pre-abelian category in which the pushout of a kernel along arbitrary morphisms is again a kernel and, dually, the pullback of a cokernel along arbitrary morphisms is again a cokernel.
Definition
Let be a pre-abelian category. A morphism is a kernel (a cokernel) if there exists a morphism such that is a kernel (cokernel) of . The category is quasi-abelian if for every kernel and every morphism in the pushout diagram
the morphism is again a kernel and, dually, for every cokernel and every morphism in the pullback diagram
the morphism is again a cokernel.
Equivalently, a quasi-abelian category is a pre-abelian category in which the system of all kernel-cokernel pairs forms an exact structure.
Given a pre-abelian category, those kernels, which are stable under arbitrary pushouts, are sometimes called the semi-stable kernels. Dually, cokernels, which are stable under arbitrary pullbacks, are called semi-stable cokernels.
Properties
Let be a morphism in a quasi-abelian category. Then the induced morphism is always a bimorphism, i.e., a monomorphism and an epimorphism. A quasi-abelian category is therefore always semi-abelian.
Examples
Every abelian category is quasi-abelian. Typical non-abelian examples arise in functional analysis.
The category of Banach spaces is quasi-abelian.
The category of Fréchet spaces is quasi-abelian.
The category of (Hausdorff) locally convex spaces is quasi-abelian.
History
The concept of quasi-abelian category was developed in the 1960s. The history is involved. This is in particular due to Raikov's conjecture, which stated that the notion of a semi-abelian category is equivalent to that of a quasi-abelian category. Around 2005 it turned out that the conjecture is false.
Left and right quasi-abelian categories
By dividing the two conditions in the definition, one can define left quasi-abelian categories by requiring that cokernels are stable under pullbacks and right quasi-abelian categories by requiring that kernels stable under pushouts.
Citations
References
Fabienne Prosmans, Derived categories for functional analysis. Publ. Res. Inst. Math. Sci. 36(5–6), 19–83 (2000).
Fred Richman and Elbert A. Walker, Ext in pre-Abelian categories. Pac. J. Math. 71(2), 521–535 (1977).
Wolfgang Rump, A counterexample to Raikov's conjecture, Bull. London Math. Soc. 40, 985–994 (2008).
Wolfgang Rump, Almost abelian categories, Cahiers Topologie Géom. Différentielle Catég. 42(3), 163–225 (2001).
Wolfgang Rump, Analysis of a problem of Raikov with applications to barreled and bornological spaces, J. Pure and Appl. Algebra 215, 44–52 (2011).
Jean Pierre Schneiders, Quasi-abelian categories and sheaves, Mém. Soc. Math. Fr. Nouv. Sér. 76 (1999).
Additive categories |
https://en.wikipedia.org/wiki/Gibraltar%20national%20football%20team%20records%20and%20statistics | The Gibraltar national football team represents Gibraltar in association football and is controlled by the Gibraltar Football Association (GFA), the governing body of the sport there. It competes as a member of the Union of European Football Associations (UEFA), which encompasses the countries of Europe. Organised football has been played in the country since the 19th century. Gibraltar first applied for UEFA membership in 1997 which was rejected, as UEFA would only allow membership for applicants recognised as sovereign states by the United Nations. In October 2012, Gibraltar reapplied for membership and it was granted in March 2013.
The list encompasses the records set by the team, their managers and their players since joining UEFA in 2013. The player records section itemises the team's leading goalscorers and those who have made most appearances in first-team competitions. Gibraltar's record appearance maker is Liam Walker, who has made 65 appearances since 2013. Liam Walker is also the record goalscorers, scoring four goals in total. All figures are correct as of the match played on 26 September 2022.
Player records
Appearances
Most appearances: Liam Walker, 65
Most consecutive appearances: Liam Walker, 40 (from 5 March 2014 to 8 September 2019)
List of ten most capped players
Goalscorers
First goal scored: Roy Chipolina, 1 March 2014, 1–4 v Faroe Islands
First goal conceded: Jóan Símun Edmundsson, 1 March 2014, 1–4 v Faroe Islands
Fastest goal scored: 7th minute by Liam Walker, 16 November 2021 v Latvia
Latest goal scored: 88th minute by Liam Walker, 25 March 2018 v Latvia
Fastest goal conceded: 8 seconds by Christian Benteke, 10 October 2016 v Belgium
Latest goal conceded: 94th minute
Ermin Bičakčić, 7 September 2015 v Bosnia and Herzegovina
Aleksandre Karapetian, 16 November 2018 v Armenia
Oldest player to score: Roy Chipolina (39 years, 246 days)
Youngest player to score: Tjay De Barr (18 years, 248 days)
List of goalscorers
Progression of goalscoring record
Goalkeepers
Managerial records
First full-time manager: Allen Bula managed Gibraltar from 2010 (before Gibraltar became members of UEFA) to 2014
Longest-serving manager: Julio César Ribas – (29 June 2018 to present)
Shortest tenure as manager: David Wilson – 5 months (March to July 2016)
Highest win percentage: Desi Curry, 100%
Lowest win percentage: Dave Wilson and Jeff Wood, 0.00%
Team records
Matches
Firsts
First match (first match at Estádio Algarve): 0–0 v Slovakia, Friendly, 19 November 2013
First match at Victoria Stadium: 1–4 v Faroe Islands, Friendly, 1 March 2014
First UEFA European Championship qualifying match: 0–7 v Poland, 7 September 2014
First FIFA World Cup qualification match: 1–4 v Greece, 6 September 2016
First UEFA Nations League match: 0–2 v Macedonia, 6 September 2018
Record results
Biggest win: 2–0 v Liechtenstein, Friendly, 16 November 2022
Biggest defeat: 0–9 v Belgium, 2018 FIFA World Cup qualification, 31 August 20 |
https://en.wikipedia.org/wiki/1959%E2%80%9360%20Galatasaray%20S.K.%20season | The 1959–60 season was Galatasaray's 58th in existence and the 2nd 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)
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 1959–60 season
1950s in Istanbul
1960s in Istanbul |
https://en.wikipedia.org/wiki/List%20of%20women%20in%20statistics | This is a list of women who have made noteworthy contributions to or achievements in statistics.
A
Helen Abbey (1915–2001), American biostatistician known for prolific mentorship of students
Edith Abbott (1876–1957), American economist, social worker, educator, and author
Sarah Abramowitz (born 1967), American statistics educator and textbook author
Sophie Achard (born 1977), French statistical neuroscientist
Dorothy Adkins (1912–1975), psychologist concentrating on psychometrics
Ana María Aguilera, Spanish expert on principal component analysis, functional data analysis, and categorical data
Susan Ahmed (born 1946), American biostatistician and educational statistician
Laura Ahtime, chief executive of the Seychelles National Bureau of Statistics
Beatrice Aitchison (1908–1997), transportation economist who became the top woman in the United States Postal Service
Martha Aliaga (1937–2011), Argentine statistics educator and president of the Caucus for Women in Statistics
Betty Allan (1905–1952), Australian statistician and biometrician, first statistician at CSIRO
Genevera Allen, American statistician, expert on interpretable learning, reproducibility, and the neuroscience of synesthesia
I. Elaine Allen, American survey statistician and biostatistician
Naomi Altman, Canadian–American biostatistician known for her work in kernel methods
Garnet Anderson, American biostatistician, identified risks of postmenopausal hormone therapy
Christine Anderson-Cook (born 1966), Canadian expert on design of experiments, reliability, and nuclear forensics
Mariza de Andrade, Brazilian-American biostatistician known for her work in statistical genetics
Rebecca Andridge, American expert on imputation of missing data and group-randomized trials
Svetlana Antonovska (1952-2016), Macedonian sociologist and statistician, founder of contemporary statistics in North Macedonia
Kellie Archer (born 1969), American biostatistician specializing in microarray analysis techniques
Margaret Armstrong, Australian geostatistician and textbook author
Arlene Ash, American statistician who works on risk adjustment in health services
Jana Asher, American expert in the statistics of human rights and sexual violence
Deborah Ashby (born 1959), British statistician who specialises in medical statistics and Bayesian statistics
B
Julie E. Backer (1890–1977), Norwegian health and population statistician in Norway's Central Bureau of Statistics
Anita K. Bahn (1920–1980), chief epidemiologist of Maryland
Barbara A. Bailar, American statistician, president and executive director of the American Statistical Association
Rosemary A. Bailey (born 1947), British statistician who works in the design of experiments and the analysis of variance
Joan Bailey-Wilson (born 1953), American statistical geneticist
Rose Baker, British physicist, mathematician, and statistician
Huldah Bancroft (died 1966), American biostatistician and expert on tropical diseases
Karen Bandeen-Roche |
https://en.wikipedia.org/wiki/Semi-abelian%20category | In mathematics, specifically in category theory, a semi-abelian category is a pre-abelian category in which the induced morphism is a bimorphism, i.e., a monomorphism and an epimorphism, for every morphism .
Properties
The two properties used in the definition can be characterized by several equivalent conditions.
Every semi-abelian category has a maximal exact structure.
If a semi-abelian category is not quasi-abelian, then the class of all kernel-cokernel pairs does not form an exact structure.
Examples
Every quasi-abelian category is semi-abelian. In particular, every abelian category is semi-abelian. Non quasi-abelian examples are the following.
The category of (possibly non Hausdorff) bornological spaces is semi-abelian.
Let be the quiver
and be a field. The category of finitely generated projective modules over the algebra is semi-abelian.
History
The concept of a semi-abelian category was developed in the 1960s. Raikov conjectured that the notion of a quasi-abelian category is equivalent to that of a semi-abelian category. Around 2005 it turned out that the conjecture is false.
Left and right semi-abelian categories
By dividing the two conditions on the induced map in the definition, one can define left semi-abelian categories by requiring that is a monomorphism for each morphism . Accordingly, right semi-abelian categories are pre-abelian categories such that is an epimorphism for each morphism .
If a category is left semi-abelian and right quasi-abelian, then it is already quasi-abelian. The same holds, if the category is right semi-abelian and left quasi-abelian.
Citations
References
José Bonet, J., Susanne Dierolf, The pullback for bornological and ultrabornological spaces. Note Mat. 25(1), 63–67 (2005/2006).
Yaroslav Kopylov and Sven-Ake Wegner, On the notion of a semi-abelian category in the sense of Palamodov, Appl. Categ. Structures 20 (5) (2012) 531–541.
Wolfgang Rump, A counterexample to Raikov's conjecture, Bull. London Math. Soc. 40, 985–994 (2008).
Wolfgang Rump, Almost abelian categories, Cahiers Topologie Géom. Différentielle Catég. 42(3), 163–225 (2001).
Wolfgang Rump, Analysis of a problem of Raikov with applications to barreled and bornological spaces, J. Pure and Appl. Algebra 215, 44–52 (2011).
Dennis Sieg and Sven-Ake Wegner, Maximal exact structures on additive categories, Math. Nachr. 284 (2011), 2093–2100.
Additive categories |
https://en.wikipedia.org/wiki/1963%E2%80%9364%20SK%20Rapid%20Wien%20season | The 1963–64 SK Rapid Wien season was the 66th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
Fairs Cup
References
1963-64 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/FIBA%20Europe%20Cup%20records%20and%20statistics | This page details statistics of the FIBA Europe Cup. Unless notified these statistics concern all seasons since inception of the FIBA Europe Cup in the 2015–16 season, including qualifying rounds.
Winners and runners-up
By club
By country
Semi-final appearances
By club
Participating clubs in the FIBA Europe Cup
The following is a list of clubs that have played or will be playing in FIBA Europe Cup group stages.
Bold: club advanced to the play-offs.
Underlined: club won the FIBA Europe Cup.
Clubs
Performance review
Classification
Performance
See also
Basketball Champions League records and statistics
References
records and statistics
Basketball statistics |
https://en.wikipedia.org/wiki/Darwin%E2%80%93Fowler%20method | In statistical mechanics, the Darwin–Fowler method is used for deriving the distribution functions with mean probability. It was developed by Charles Galton Darwin and Ralph H. Fowler in 1922–1923.
Distribution functions are used in statistical physics to estimate the mean number of particles occupying an energy level (hence also called occupation numbers). These distributions are mostly derived as those numbers for which the system under consideration is in its state of maximum probability. But one really requires average numbers. These average numbers can be obtained by the Darwin–Fowler method. Of course, for systems in the thermodynamic limit (large number of particles), as in statistical mechanics, the results are the same as with maximization.
Darwin–Fowler method
In most texts on statistical mechanics the statistical distribution functions in Maxwell–Boltzmann statistics, Bose–Einstein statistics, Fermi–Dirac statistics) are derived by determining those for which the system is in its state of maximum probability. But one really requires those with average or mean probability, although – of course – the results are usually the same for systems with a huge number of elements, as is the case in statistical mechanics. The method for deriving the distribution functions with mean probability has been developed by C. G. Darwin and Fowler and is therefore known as the Darwin–Fowler method. This method is the most reliable general procedure for deriving statistical distribution functions. Since the method employs a selector variable (a factor introduced for each element to permit a counting procedure) the method is also known as the Darwin–Fowler method of selector variables. Note that a distribution function is not the same as the probability – cf. Maxwell–Boltzmann distribution, Bose–Einstein distribution, Fermi–Dirac distribution. Also note that the distribution function which is a measure of the fraction of those states which are actually occupied by elements, is given by or , where is the degeneracy of energy level of energy and is the number of elements occupying this level (e.g. in Fermi–Dirac statistics 0 or 1). Total energy and total number of elements are then given by and .
The Darwin–Fowler method has been treated in the texts of E. Schrödinger, Fowler and Fowler and E. A. Guggenheim, of K. Huang, and of H. J. W. Müller–Kirsten. The method is also discussed and used for the derivation of Bose–Einstein condensation in the book of R. B. Dingle.
Classical statistics
For independent elements with on level with energy and for a canonical system in a heat bath with temperature we set
The average over all arrangements is the mean occupation number
Insert a selector variable by setting
In classical statistics the elements are (a) distinguishable and can be arranged with packets of elements on level whose number is
so that in this case
Allowing for (b) the degeneracy of level this expression becomes
The select |
https://en.wikipedia.org/wiki/KK%20%C5%A0ibenik%20in%20international%20competitions | KK Šibenik history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
European competitions
Record
KK Šibenik has overall, from 1981–82 (first participation) to 1994–95 (last participation): 23 wins against 27 defeats in 50 games for all the European club competitions.
EuroLeague
FIBA Saporta Cup
FIBA Korać Cup: 23–27 (50)
See also
Yugoslav basketball clubs in European competitions
External links
FIBA Europe
EuroLeague
ULEB
EuroCup
Sibenik |
https://en.wikipedia.org/wiki/1964%E2%80%9365%20SK%20Rapid%20Wien%20season | The 1964–65 SK Rapid Wien season was the 67th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
European Cup
Mitropa Cup
References
1964-65 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1965%E2%80%9366%20SK%20Rapid%20Wien%20season | The 1965–66 SK Rapid Wien season was the 68th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
References
1965-66 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1966%E2%80%9367%20SK%20Rapid%20Wien%20season | The 1966–67 SK Rapid Wien season was the 69th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
Cup Winners' Cup
References
1966-67 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/Barbara%20Terhal | Barbara M. Terhal (born 1969) is a theoretical physicist working in quantum information and quantum computing. She is a professor in the Delft Institute of Applied Mathematics at TU Delft, as well as leading the Terhal Group at QuTech, the Dutch institute for quantum computing and quantum internet, founded by TU Delft and the Netherlands Organisation for Applied Scientific Research (TNO). Her research concerns many areas in quantum information theory, including entanglement detection, quantum error correction, fault-tolerant quantum computing and quantum memories.
Education and early life
Barbara Terhal was born in Leiden in 1969. Already in her early school days, she enjoyed mathematics, physics and solving puzzles.
Terhal completed her PhD Cum Laude on "Quantum Algorithms and Quantum Entanglement" at the University of Amsterdam in 1999, making her the first person to receive a PhD in quantum computing in the Netherlands. As part of her thesis, she coined the term entanglement witness and proposed their use as alternatives to Bell tests for entanglement detection.
Career and research
After her PhD, Terhal joined the IBM Watson Research Centre in Yorktown Heights, New York and the California Institute of Technology (Caltech) as a postdoctoral researcher. Between 2001 and 2010, she worked at IBM on a number of topics, including low-depth quantum circuits or stoquastic Hamiltonians, perturbative gadgets for quantum simulation and quantum complexity theory. She also developed quantum protocols for remote state preparation, quantum locking and quantum data hiding.
In 2010, Terhal became a professor in theoretical physics at RWTH Aachen University. In addition, she held another position at the Forschungszentrum Jülich from 2015 - 2022. In 2017 she moved to Delft, becoming a professor at the Faculty of Electrical Engineering, Mathematics and Computer Science (EEMCS) at TU Delft and group leader at QuTech.
Since 2007, Terhal has been a fellow of the American Physical Society and has held the post of Distinguished Visiting Research Chair at the Perimeter Institute in Waterloo, Canada, since 2014.
Terhal's current research focuses on quantum error correction and its realisation in solid-state qubits. She is also interested in quantum complexity theory and how it can be used to demonstrate the power of a quantum computer.
Awards
Barbara Terhal has received the following awards:
Awarded the Outstanding Innovation Award by IBM Research in 2007
Elected a Distinguished Visiting Research Chair at Perimeter Institute, Waterloo, Canada in 2014
Selected as Outstanding Referee by the American Physical Society in 2015
Elected member of the Royal Netherlands Academy of Arts and Sciences in 2020.
Publications
Her publications include:
B.M. Terhal, “Bell Inequalities and The Separability Criterion”, Physics Letters A 271, 319 (2000)
B.M. Terhal and D.P. DiVincenzo, “Adaptive quantum computation, constant depth quantum circuits, and Arthur Merlin g |
https://en.wikipedia.org/wiki/Keila%20JK | Keila JK is a football club based in Keila, Estonia. Founded in 1995, it currently plays in II Liiga.
Players
First-team squad
''As of 13 March 2018.
Statistics
League and Cup
References
External links
Team info at Estonian Football Association
Football clubs in Estonia
Harju County |
https://en.wikipedia.org/wiki/1967%E2%80%9368%20SK%20Rapid%20Wien%20season | The 1967–68 SK Rapid Wien season was the 70th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
European Cup
References
1967-68 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1968%E2%80%9369%20SK%20Rapid%20Wien%20season | The 1968–69 SK Rapid Wien season was the 71st season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
European Cup
References
1968-69 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1969%E2%80%9370%20SK%20Rapid%20Wien%20season | The 1969–70 SK Rapid Wien season was the 72nd season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
European Cup
References
1969-70 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1970%E2%80%9371%20SK%20Rapid%20Wien%20season | The 1970–71 SK Rapid Wien season was the 73rd season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
References
1970-71 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1971%E2%80%9372%20SK%20Rapid%20Wien%20season | The 1971–72 SK Rapid Wien season was the 74th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
UEFA Cup
References
1971-72 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1972%E2%80%9373%20SK%20Rapid%20Wien%20season | The 1972–73 SK Rapid Wien season was the 75th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
Cup Winners' Cup
References
1972-73 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1973%E2%80%9374%20SK%20Rapid%20Wien%20season | The 1973–74 SK Rapid Wien season was the 76th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
Cup Winners' Cup
References
1973-74 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/Auxilium%20Pallacanestro%20Torino%20in%20international%20competitions | Auxilium Pallacanestro Torino history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
European competitions
Record
Auxilium Pallacanestro Torino has overall, from 1975–76 (first participation) to 1986–87 (last participation): 18 wins against 11 defeats plus 1 draw in 30 games for all the European club competitions.
EuroLeague: –
EuroCup 6-4 (10)
FIBA Saporta Cup: –
FIBA Korać Cup: 18–11 plus 1 draw (30)
External links
FIBA Europe
Euroleague
ULEB
Eurocup
References
Torino
Sport in Turin |
https://en.wikipedia.org/wiki/1974%E2%80%9375%20SK%20Rapid%20Wien%20season | The 1974–75 SK Rapid Wien season was the 77th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
UEFA Cup
References
1974-75 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1975%E2%80%9376%20SK%20Rapid%20Wien%20season | The 1975–76 SK Rapid Wien season was the 78th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
UEFA Cup
References
1975-76 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1976%E2%80%9377%20SK%20Rapid%20Wien%20season | The 1976–77 SK Rapid Wien season was the 79th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
Cup Winners' Cup
References
1976-77 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/Pallacanestro%20Varese%20in%20international%20competitions | Pallacanestro Varese history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
European competitions
Worldwide competitions
External links
FIBA Europe
Euroleague
ULEB
Eurocup
Varese
Varese |
https://en.wikipedia.org/wiki/Spanish%20Statistics%20and%20Operations%20Research%20Society | The Sociedad de Estadística e Investigación Operativa (SEIO, Statistics and Operations Research Society) is the professional non-profit society for the scientific fields of Statistics and Operations Research in Spain. It was founded in 1962 and it is dedicated to the development, improvement and promotion of the methods and applications of Statistics and Operations Research in its widest possible sense. The society has an ultimate goal of putting Statistics and Operations Research to the service of science and society. The society is recognized by the International Federation of Operational Research Societies and its subgrouping, the Association of European Operational Research Societies, as the main national society for Operations Research in its country. SEIO is also member of CIMPA, Centre International de Mathématiques Pures et Appliquées, Confederación de Sociedades Científicas de España (COSCE), and of the European Mathematical Society (EMS).
History
SEIO was created in 1962 initially as an Operations Research society. In 1976, the fields of Statistics and Computer Science were included in the society.
Since 1962 the society has had the following presidents:
Sixto Ríos García
Pilar Ibarrola Muñoz
Daniel Peña Sánchez de Rivera
Jesús T. Pastor Ciurana
Domingo Morales González
Leandro Pardo Llorente
Emilio Carrizosa Priego
Begoña Vitoriano Villanueva
Governance
SEIO is governed by a three-year term president who manages the association with an executive council and two vice-presidents, one for statistics and one for operations research. There are also two academic councils, one per discipline. A president elect supports the president during one year.
On a proposal of the members, within SEIO some working groups can be formed, based on either geographical or methodological and application affinity.
The headquarters of SEIO is at the Universidad Complutense de Madrid,
Facultad de Matemáticas, Despacho 502, 3 Plaza de Ciencias, 28040 Madrid, Spain.
Membership
Currently (2016), SEIO has about 600 members – individuals (professors and researches from university and research institutions and professionals) and institutions from academia, industry and administration.
Publications
SEIO publishes two journals, one in the area of Statistics and one in the field of Operations Research
The journal TEST, published by Springer, focuses on papers that offer original theoretical contributions and that have demonstrated potential value for applications. Methodological content is crucial for publication in the journal as is detailed coverage of practical implications. In 2015 it had an impact factor of 1.207.
The journal TOP, also published by Springer, publishes original findings in operations research and management sciences. Contributions investigate either mathematical issues or applications to real-world decision-making problems. The topics covered are continuous and discrete optimization, games, decision theory, logisti |
https://en.wikipedia.org/wiki/Jean%20Fridolin%20Nganbe%20Nganbe | Jean Fridolin Nganbe Nganbe (born 11 May 1988) is a Cameroonian footballer who plays as forward.
Career
Club
Prior to the start of the 2015 season, Nganbe signed for RoPS.
Career statistics
References
External links
RoPS Profile
Living people
1988 births
Men's association football forwards
Cameroonian men's footballers
Veikkausliiga players
Ykkönen players
Canon Yaoundé players
AC Oulu players
Odra Wodzisław Śląski players
Oulun Palloseura players
FC Lahti players
Vaasan Palloseura players
Rovaniemen Palloseura players
FC Haka players
Cameroonian expatriate men's footballers
Expatriate men's footballers in Finland
Expatriate men's footballers in Poland
Cameroonian expatriate sportspeople in Finland
Pallokerho Keski-Uusimaa players |
https://en.wikipedia.org/wiki/1977%E2%80%9378%20SK%20Rapid%20Wien%20season | The 1977–78 SK Rapid Wien season was the 80th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
UEFA Cup
References
1977-78 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/Cap%20set | In affine geometry, a cap set is a subset of (an -dimensional affine space over a three-element field) with no three elements in a line.
The cap set problem is the problem of finding the size of the largest possible cap set, as a function of . The first few cap set sizes are 1, 2, 4, 9, 20, 45, 112, ... .
Cap sets may be defined more generally as subsets of finite affine or projective spaces with no three in line, where these objects are simply called caps. The "cap set" terminology should be distinguished from other unrelated mathematical objects with the same name, and in particular from sets with the compact absorption property in function spaces as well as from compact convex co-convex subsets of a convex set.
Example
An example of cap sets comes from the card game Set, a card game in which each card has four features (its number, symbol, shading, and color), each of which can take one of three values. The cards of this game can be interpreted as representing points of the four-dimensional affine space , where each coordinate of a point specifies the value of one of the features. A line, in this space, is a triple of cards that, in each feature, are either all the same as each other or all different from each other. The game play consists of finding and collecting lines among the cards that are currently face up, and a cap set describes an array of face-up cards in which no lines may be collected.
One way to construct a large cap set in the game Set would be to choose two out of the three values for each feature, and place face up each of the cards that uses only one of those two values in each of its features. The result would be a cap set of 16 cards. More generally, the same strategy would lead to cap sets in of size . However, in 1971, Giuseppe Pellegrino proved that four-dimensional cap sets have maximum size 20. In terms of Set, this result means that some layouts of 20 cards have no line to be collected, but that every layout of 21 cards has at least one line. (The dates are not a typo: the Pellegrino cap set result from 1971 really does predate the first publication of the Set game in 1974.)
Maximum size
Since the work of Pellegrino in 1971, and of Tom Brown and Joe Buhler, who in 1984 proved that cap-sets cannot constitute any constant proportion of the whole space, there has been a significant line of research on how large they may be.
Lower bounds
Pellegrino's solution for the four-dimensional cap-set problem also leads to larger lower bounds than for any higher dimension, which were further improved by
and then . Tyrrell's lower bound shows that, for large , there is a cap set in of size at least .
Upper bounds
In 1984, Tom Brown and Joe Buhler proved that the largest possible size of a cap set in is as grows; loosely speaking, this means that cap sets have zero density. Péter Frankl, Ronald Graham, and Vojtěch Rödl have shown in 1987 that the result of Brown and Buhler follows easily from the Ruzsa - Szemerédi tria |
https://en.wikipedia.org/wiki/1978%E2%80%9379%20SK%20Rapid%20Wien%20season | The 1978–79 SK Rapid Wien season was the 81st season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
UEFA Cup
References
1978-79 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1979%E2%80%9380%20SK%20Rapid%20Wien%20season | The 1979–80 SK Rapid Wien season was the 82nd season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
UEFA Cup
References
1979-80 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1980%E2%80%9381%20SK%20Rapid%20Wien%20season | The 1980–81 SK Rapid Wien season was the 83rd season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
References
1980-81 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/Homomorphic%20equivalence | In the mathematics of graph theory, two graphs, G and H, are called homomorphically equivalent if there exists a graph homomorphism and a graph homomorphism . An example usage of this notion is that any two cores of a graph are homomorphically equivalent.
Homomorphic equivalence also comes up in the theory of databases. Given a database schema, two instances I and J on it are called homomorphically equivalent if there exists an instance homomorphism and an instance homomorphism .
Deciding whether two graphs are homomorphically equivalent is NP-complete.
In fact for any category C, one can define homomorphic equivalence. It is used in the theory of accessible categories, where "weak universality" is the best one can hope for in terms of injectivity classes; see
References
Graph theory
Equivalence (mathematics) |
https://en.wikipedia.org/wiki/Todorov%20surface | In algebraic geometry, a Todorov surface is one of a class of surfaces of general type introduced by for which the conclusion of the Torelli theorem does not hold.
References
Algebraic surfaces |
https://en.wikipedia.org/wiki/2016%E2%80%9317%20Sporting%20CP%20season | This article shows Sporting Clube de Portugal's player statistics and all matches that the club played during the 2016–17 season.
Pre-season and friendlies
Competitions
Overall record
Primeira Liga
League table
Results by round
Matches
Taça de Portugal
Third round
Fourth round
Fifth round
Quarter-finals
Taça da Liga
Third round
UEFA Champions League
Group stage
Players
Squad statistics
|}
Transfers
In
Out
References
External links
Official club website
2016-17
Sporting
Sporting Lisbon |
https://en.wikipedia.org/wiki/Mean%20square | In mathematics and its applications, the mean square is normally defined as the arithmetic mean of the squares of a set of numbers or of a random variable.
It may also be defined as the arithmetic mean of the squares of the deviations between a set of numbers and a reference value (e.g., may be a mean or an assumed mean of the data), in which case it may be known as mean square deviation.
When the reference value is the assumed true value, the result is known as mean squared error.
A typical estimate for the sample variance from a set of sample values uses a divisor of the number of values minus one, n-1, rather than n as in a simple quadratic mean, and this is still called the "mean square" (e.g. in analysis of variance):
The second moment of a random variable, is also called the mean square.
The square root of a mean square is known as the root mean square (RMS or rms), and can be used as an estimate of the standard deviation of a random variable.
References
Means |
https://en.wikipedia.org/wiki/1968%E2%80%9369%20Galatasaray%20S.K.%20season | The 1968–69 season was Galatasaray's 65th in existence and the 11th 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
Final
Süper Kupa
Kick-off listed in local time (EET)
Friendly Matches
Spor Toto Kupası
Ali Sami Yen-Galip Kulaksızoğlu 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 1968–69 season
Turkish football championship-winning seasons
1960s in Istanbul |
https://en.wikipedia.org/wiki/2016%E2%80%9317%20Athletic%20Bilbao%20season | The 2016–17 season was the 118th in Athletic Club’s history and the 86th in the top tier.
Squad
According to the official website.
Player statistics
Disciplinary record
Iker Muniain's yellow card against Osasuna on matchday 10 was taken back in December 2016.
From the youth system
Transfer
In
Out
Staff
According to the official website.
Pre-season and friendlies
Competitions
Overview
La Liga
League table
Results summary
Round by round
Matches
Copa del Rey
Round of 32
Round of 16
UEFA Europa League
Group stage
Knockout phase
Round of 32
References
Athletic Bilbao seasons
Athletic Bilbao
Athletic Bilbao
2016 in the Basque Country (autonomous community)
2017 in the Basque Country (autonomous community) |
https://en.wikipedia.org/wiki/Rank%20of%20an%20elliptic%20curve | In mathematics, the rank of an elliptic curve is the rational Mordell–Weil rank of an elliptic curve defined over the field of rational numbers. Mordell's theorem says the group of rational points on an elliptic curve has a finite basis. This means that for any elliptic curve there is a finite subset of the rational points on the curve, from which all further rational points may be generated. If the number of rational points on a curve is infinite then some point in a finite basis must have infinite order. The number of independent basis points with infinite order is the rank of the curve.
The rank is related to several outstanding problems in number theory, most notably the Birch–Swinnerton-Dyer conjecture. It is widely believed that there is no maximum rank for an elliptic curve, and it has been shown that there exist curves with rank as large as 28, but it is widely believed that such curves are rare. Indeed, Goldfeld and later Katz–Sarnak conjectured that in a suitable asymptotic sense (see below), the rank of elliptic curves should be 1/2 on average. In other words, half of all elliptic curves should have rank 0 (meaning that the infinite part of its Mordell–Weil group is trivial) and the other half should have rank 1; all remaining ranks consist of a total of 0% of all elliptic curves.
Heights
Mordell–Weil's theorem shows that is a finitely generated abelian group, thus where is the finite torsion subgroup and r is the rank of the elliptic curve.
In order to obtain a reasonable notion of 'average', one must be able to count elliptic curves somehow. This requires the introduction of a height function on the set of rational elliptic curves. To define such a function, recall that a rational elliptic curve can be given in terms of a Weierstrass form, that is, we can write
for some integers . Moreover, this model is unique if for any prime number such that divides , we have . We can then assume that are integers that satisfy this property and define a height function on the set of elliptic curves by
It can then be shown that the number of elliptic curves with bounded height is finite.
Average rank
We denote by the Mordell–Weil rank of the elliptic curve . With the height function in hand, one can then define the "average rank" as a limit, provided that it exists:
It is not known whether or not this limit exists. However, by replacing the limit with the limit superior, one can obtain a well-defined quantity. Obtaining estimates for this quantity is therefore obtaining upper bounds for the size of the average rank of elliptic curves (provided that an average exists).
Upper bounds for the average rank
In the past two decades there has been some progress made towards the task of finding upper bounds for the average rank. A. Brumer showed that, conditioned on the Birch–Swinnerton-Dyer conjecture and the Generalized Riemann hypothesis that one can obtain an upper bound of for the average rank. Heath-Brown showed th |
https://en.wikipedia.org/wiki/Genetic%20method | The genetic method is a method of teaching mathematics coined by Otto Toeplitz in 1927. As an alternative to the axiomatic system, the method suggests using history of mathematics to deliver excitement and motivation and engage the class.
History
Otto Toeplitz, a research mathematician in the area of functional analysis, introduced the method in his manuscript "The problem of calculus courses at universities and their demarcation against calculus courses at high schools" in 1927. A part of this manuscript was published in a book in 1949, after Toeplitz's death.
Toeplitz's method was not completely new at the time. In his 1895 talk given at the public meeting of the royal society of sciences in Goettingen, "On the arithmetization of mathematics", the famous German mathematician Felix Klein suggested the idea "that on a small scale, a learner naturally and always has to repeat the same developments that the sciences went through on a large scale".
In addition, the genetic method was occasionally applied in Gerhard Kowalewski's book from 1909, "The classical problems of the analysis of the infinite".
In 1962 the mathematics education in the US met a situation similar to that of Toeplitz in 1926 in Germany, in connection with the introduction of "New Mathematics". Shortly after the Sputnik crisis, a "New Mathematics" reform was introduced to improve the level of mathematics education in the US, so that the threat of Soviet engineers, assumed to be well educated in mathematics, could be met. To prepare students for advanced mathematics, the curriculum shifted to focus on abstraction and rigor. One of the more reasonable responses to "New Mathematics" was a collective statement by Lipman Bers, Morris Kline, George Pólya, and Max Schiffer, cosigned by 61 others, that was published in "The Mathematics Teacher" and The American Mathematical Monthly in 1962. In this letter, the undersigned called for the use of the genetic method:
Also, in the 1980s, departments of mathematics in the US were facing criticism from other departments, especially departments in engineering, that they were failing too many of their students, and that those students that were certified as knowing calculus in fact had no idea how to apply its concepts in other classes. This led to the "Calculus Reform" in the US.
Motivation
Otto Toeplitz had alleged that only 5% of the class can be reached by the traditional axiomatic approaches. To engage 45% of the students, he suggested to expose the students to the history of mathematics. The history of mathematics would give students an idea of the challenges and the elements of mathematics research process and applications. Furthermore, Toeplitz claimed that 50% of the students in universities were not 'reachable' and were 'unfit' for university education. The classification is illustrated in the picture.
Variants
There are two recognised variants of the genetic method.
A direct genetic method displays the history of the develo |
https://en.wikipedia.org/wiki/Liechtenstein%20football%20clubs%20in%20European%20competitions | This is a list of participation by football clubs in Liechtenstein in European competitions.
UEFA Cup/Europa League
UEFA Europa Conference League
Cup Winners' Cup
Records and statistics
UEFA Cup/Europa League
UEFA Europa Conference League
Cup Winners' Cup
Total
References
European football clubs in international competitions |
https://en.wikipedia.org/wiki/Korovkin%20approximation | In mathematics the Korovkin approximation is a convergence statement in which the approximation of a function is given by a certain sequence of functions. In practice a continuous function can be approximated by polynomials. With Korovkin approximations one comes a convergence for the whole approximation with examination of the convergence of the process at a finite number of functions. The Korovkin approximation is named after Pavel Korovkin.
References
Computational mathematics
Functional analysis |
https://en.wikipedia.org/wiki/List%20of%20Burgos%20CF%20records%20and%20statistics | This is a list of records and statistics of Burgos CF since its re-foundation in 1994.
Honours
National titles
Copa Federación: (1) 1996–97
Segunda División B group champion: (1) 2000–01 Group 2
Tercera División Group VIII: (4) 1996–97, 2009–10, 2010–11, 2012–13
Regional titles
Copa Federación (Castile and León tournament): (2) 1996–97, 2012–13
Team statistics
In Segunda División
Seasons: 1
Position in All-time Segunda División table: 129th
Records
Highest final position: 16th (2001–02)
Most points in a season: 52 (2001–02)
Most consecutive seasons in Segunda División: 1 (2001–02)
Record home win: 3–1 vs Xerez (2001–02, round 6, 30 September 2001) and 2–0 vs Polideportivo Ejido (2001–02, round 22, 13 January 2002)
Record away win: 1–5 at Numancia (2001–02, round 16, 25 November 2001)
Record home loss: 0–4 vs Atlético Madrid (2001–02, round 21, 6 January 2002)
Record away loss: 3–0 at Racing Ferrol (2001–02, round 30, 3 March 2002)
Games
First game: 0–1 at Polideportivo Ejido (2001–02, round 1, 25 August 2001)
Last game: 1–1 at Atlético Madrid (2001–02, round 42, 25 May 2002)
Goals
First goal: José Mari (0–1 at Polideportivo Ejido, 2001–02, round 1, 25 August 2001)
Last goal: Ángel Merino (1–1 at Atlético Madrid, 2001–02, round 42, 25 May 2002)
Youngest goalscorer: Galder Zubizarreta at 21 years and 321 days (1–1 at Córdoba, 2001–02, round 18, 8 December 2001)
Oldest goalscorer: Ángel Merino at 35 years and 235 days (1–1 at Atlético Madrid, 2001–02, round 42, 25 May 2002)
Streaks
Winning: 3 (2001–02, round 4 to 6)
Winning at home: 3 (2001–02, round 2 to 6)
Winning away: 3 (2001–02, round 12 to 16)
Unbeaten: 7 (2001–02, round 31 to 37)
Unbeaten at home: 8 (2001–02, round 22 to 37)
Unbeaten away: 7 (2001–02, round 10 to 23)
Scoring: 3 (2001–02, round 4 to 6 and 12 to 14)
Scoring at home: 2 (2001–02, three times)
Scoring away: 4 (2001–02, round 14 to 20)
Without goals against: 5 (2001–02, round 31 to 35)
Without goals against at home: 5 (2001–02, round 26 to 35)
Without goals against away: 3 (2001–02, round 10 to 14)
Draws streak: 3 (2001–02, round 17 to 19 and 31 to 33)
Draws streak at home: 7 (2001–02, round 24 to 37)
Draws streak away: 1 (six times)
Games without winning: 11 (2001–02, round 23 to 33)
Games without winning at home: 9 (2001–02, round 24 to 41)
Games without winning away: 6 (2001–02, round 23 to 34)
Losing: 4 (2001–02, round 38 to 41)
Losing at home: 4 (2001–02, round 9 to 15)
Losing away: 2 (2001–02, round 25 to 27 and 38 to 40)
Without scoring: 9 (2001–02, round 25 to 33)
Without scoring at home: 5 (2001–02, round 26 to 35)
Without scoring away: 5 (2001–02, round 25 to 32)
With goals against: 7 (2001–02, round 36 to 42)
With goals against at home: 4 (2001–02, round 9 to 15)
With goals against away: 4 (2001–02, round 36 to 42)
In Segunda División B
Seasons: 14
Records
Highest final position: 1st (2000–01)
Lowest final position: 20th (2011–12)
Most points in a season: 72 (2000–01)
Fewest points in a season: 28 (2011–12)
M |
https://en.wikipedia.org/wiki/1981%E2%80%9382%20SK%20Rapid%20Wien%20season | The 1981–82 SK Rapid Wien season was the 84th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
UEFA Cup
References
1981-82 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1982%E2%80%9383%20SK%20Rapid%20Wien%20season | The 1982–83 SK Rapid Wien season was the 85th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
European Cup
References
1982-83 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/Michael%20Longnecker | Michael T. Longnecker is an American scientist and the George P. Mitchell '44 Endowed Chair in Statistics Science at Texas A&M University, and also a published author of 8 books which are held in 566 libraries, the highest held book being in 449 libraries worldwide.
References
Year of birth missing (living people)
Living people
Texas A&M University faculty
American scientists |
https://en.wikipedia.org/wiki/David%20Arnold%20%28mathematician%29 | David M. Arnold (August 9, 1939 – January 3, 2021) was an American mathematician, formerly the Ralph and Jean Storm Professor of Mathematics at Baylor University, and also a published author of 10 books, currently held in 1,886 libraries.
Education and career
He received his Masters from Western Washington University and his Ph.D. at University of Illinois at Urbana–Champaign, the latter had Joseph J. Rotman as his advisor. Other professorships he has held are Professor of Mathematics at New Mexico State University and Visiting Professor at University of Washington, University of Connecticut, University of Essen and Florida Atlantic University.
Personal life
He was "well-loved" by his wife Betty, his 5 children, his 13 grandchildren, and his 6 great-grandchildren. He enjoyed his family, reading, and birding.
References
20th-century American mathematicians
Baylor University faculty
Western Washington University alumni
University of Illinois College of Liberal Arts and Sciences alumni
2021 deaths
1939 births |
https://en.wikipedia.org/wiki/Joseph%20J.%20Rotman | Joseph J. Rotman (May 26, 1934 – October 16, 2016) was a Professor of Mathematics at the University of Illinois at Urbana–Champaign and also a published author of 10 textbooks.
Rotman was born in Chicago. He did his undergraduate and graduate work at the University of Chicago, where he received his doctorate in 1959 with a thesis in abelian groups written under the direction of Irving Kaplansky. In 1959 he moved to the University of Illinois at Urbana–Champaign, where he spent the rest of his mathematical career. Rotman retired from UIUC in 2004. His research interests lay in the area of algebra, involving abelian groups, modules, homological algebra, and combinatorics.
Rotman was the Managing Editor of the Proceedings of the American Mathematical Society in 1972–1973. In 1985 he was the Annual Visiting Lecturer of the South African Mathematical Society.
A partial list of Rotman's publications includes:
An Introduction to Homological Algebra (1979), Pure and Applied Mathematics, vol. 85, Academic Press;
An Introduction to Algebraic Topology (1988), Springer-Verlag;
An Introduction to the Theory of Groups (1995), Springer-Verlag;
A First Course in Abstract Algebra (2000), Prentice Hall;
Advanced Modern Algebra (2002), Prentice Hall;
Journey into Mathematics: an introduction to proofs (2006), Dover Publications;
References
1934 births
2016 deaths
21st-century American mathematicians
University of Illinois Urbana-Champaign faculty
University of Chicago alumni
Algebraists
People from Chicago
Mathematicians from Illinois
20th-century American mathematicians |
https://en.wikipedia.org/wiki/1983%E2%80%9384%20SK%20Rapid%20Wien%20season | The 1983–84 SK Rapid Wien season was the 86th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
European Cup
References
1983-84 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1984%E2%80%9385%20SK%20Rapid%20Wien%20season | The 1984–85 SK Rapid Wien season was the 87th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
European Cup
References
1984-85 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1985%E2%80%9386%20SK%20Rapid%20Wien%20season | The 1985–86 SK Rapid Wien season was the 88th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
Cup Winners' Cup
References
1985-86 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/1986%E2%80%9387%20SK%20Rapid%20Wien%20season | The 1986–87 SK Rapid Wien season was the 89th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
Supercup
Cup Winners' Cup
References
1986-87 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1987%E2%80%9388%20SK%20Rapid%20Wien%20season | The 1987–88 SK Rapid Wien season was the 90th season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
Supercup
European Cup
References
1987-88 Rapid Wien Season
Rapid
Austrian football championship-winning seasons |
https://en.wikipedia.org/wiki/1988%E2%80%9389%20SK%20Rapid%20Wien%20season | The 1988–89 SK Rapid Wien season was the 91st season in club history.
Squad
Squad and statistics
Squad statistics
Fixtures and results
League
Cup
Supercup
European Cup
References
1988-89 Rapid Wien Season
Rapid |
https://en.wikipedia.org/wiki/Mean%20value%20problem | In mathematics, the mean value problem was posed by Stephen Smale in 1981. This problem is still open in full generality. The problem asks:
For a given complex polynomial of degree and a complex number , is there a critical point of such that
It was proved for . For a polynomial of degree the constant has to be at least from the example , therefore no bound better than can exist.
Partial results
The conjecture is known to hold in special cases; for other cases, the bound on could be improved depending on the degree , although no absolute bound is known that holds for all .
In 1989, Tischler has shown that the conjecture is true for the optimal bound if has only real roots, or if all roots of have the same norm. In 2007, Conte et al. proved that , slightly improving on the bound for fixed . In the same year, Crane has shown that for .
Considering the reverse inequality, Dubinin and Sugawa have proven that (under the same conditions as above) there exists a critical point such that . The problem of optimizing this lower bound is known as the dual mean value problem.
See also
List of unsolved problems in mathematics
Notes
A.The constraint on the degree is used but not explicitly stated in Smale (1981); it is made explicit for example in Conte (2007). The constraint is necessary. Without it, the conjecture would be false: The polynomial f(z) = z does not have any critical points.
References
1981 introductions
Complex numbers
Unsolved problems in mathematics
Conjectures |
https://en.wikipedia.org/wiki/Louise%20Hay%20Award | The Louise Hay Award is a mathematics award planned in 1990 and first issued in 1991 by the Association for Women in Mathematics in recognition of contributions as a math educator.
The award was created in honor of Louise Hay.
Recipients
The following women have been honored with the Hay Award:
See also
List of mathematics awards
References
Awards of the Mathematical Association of America
Awards and prizes of the Association for Women in Mathematics
Mathematics education awards
1990 establishments in the United States
Awards established in 1990 |
https://en.wikipedia.org/wiki/Chalukyas%20of%20Vemulavada | {
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The Chalukyas of Vemulavada were an Indian dynasty that ruled in and around the present-day Telangana between 7th and 10th centuries. Their capital was located at Vemulavada, and they were vassals of the Rashtrakutas.
History
The 966 CE Parabhani copper-plate inscription of king Arikesari III of Vemulavada claims that his dynasty descended from the Chalukyas of solar dynasty. Not much is known about the early rulers of the dynasty. The Kollapur copper-plate inscription attributes several military victories to Vinayaditya alias Yuddhamalla I (not to be confused with the Badami Chalukya king Vinayaditya, also titled Yuddhamalla). These victories amount to the subjugation of almost the entire Indian subcontinent, and therefore, appear to be gross exaggerations. It is possible that Vinayaditya was a feudatory of a powerful king, and participated in this king's military campaigns. This king could have been the Rashtrakuta ruler Dantidurga, who was a contemporary of Vinayaditya.
The dynasty's original capital was at Podana (modern Bodhan), but was later moved to Vemulavada, probably during the reign of Vinayaditya's successor Arikesari I. According to the dynasty's inscription, Arikesari conquered Vengi and Trikalinga; this probably refers to his subjugation of the Vengi Chalukya king Vishnuvardhana IV on the orders of his Rashtrakuta overlord Dhruva Dharavarsha.
Little is known about the next two rulers, Arikesari's son Narasimha I and grandson Yuddhamalla II. Baddega I, the son of Yuddhamalla II, was a distinguished general, and assumed the title Solada-ganda ("the unvanquished hero"). He defeated the Vengi Chalukya king Bhima I. According to the Vemulavada court poets, Baddega's grandson Narasimha II subjugated the Latas, the seven Malavas, and the Gurjara-Pratihara king Mahipala. He achieved these victories in the |
https://en.wikipedia.org/wiki/Ma%20Jiantang | Ma Jiantang (; born April 29, 1958) is a Chinese economist and politician. He was director of the National Bureau of Statistics from 2008 to 2015, executive vice-president of Academy of Governance (minister-level rank) from 2015 to 2018, and party branch secretary of Development Research Center of the State Council from 2018 to 2022.
Life and career
Born in Binzhou, Shandong, Ma graduated from the Department of Economics of Shandong University in 1982, and earned a master's degree at Nankai University in 1985. He received his doctorate from the Chinese Academy of Social Sciences in 1988. Ma won the Sun Yefang Economics Prize in 1994 while serving on the Development Research Center of the State Council, he received the Chinese Economic Theory Innovation award In 2012.
He served as the Director of General Department, SETC from 1996 to 2003, and was Deputy Secretary of SASAC from 2003 to 2008. From 2004 to 2007, he was vice governor of Qinghai, a province located in northwest China. He served as the Director of China NBS from 2008 to 2014.
Ma was elected to the 18th Central Committee of the Chinese Communist Party as an alternate member in November 2012. Ma was ranked first out of 168 alternate members in a list ordered by the number of votes received at the party congress. Ma was made a full member of the committee at the 3rd Plenum of the 18th Central committee in 2014 to replace a vacant seat.
References
1958 births
Living people
Politicians from Binzhou
20th-century Chinese economists
Members of the 18th Central Committee of the Chinese Communist Party
Economists from Shandong
People's Republic of China politicians from Shandong
Chinese Communist Party politicians from Shandong |
https://en.wikipedia.org/wiki/Takahiro%20Urashima | is a Japanese footballer who plays for Verspah Oita as a defender.
Club statistics
Updated to 23 December 2018.
Honours
Blaublitz Akita
J3 League (1): 2017
References
External links
Profile at Blaublitz Akita
1988 births
Living people
Association football people from Shiga Prefecture
Japanese men's footballers
J3 League players
Japan Football League players
Reilac Shiga FC players
AC Nagano Parceiro players
SP Kyoto FC players
FC Ryukyu players
Blaublitz Akita players
Men's association football defenders |
https://en.wikipedia.org/wiki/Genevieve%20Cogman | Genevieve Cogman is a British author of fantasy literature and role-playing games.
Life
Cogman has an MSc in statistics with Medical Applications. She works for the NHS as a clinical classifications specialist and lives in the north of England.
Cogman has also worked as a freelance role-playing author, contributing towards the Steve Jackson Games titles In Nomine and GURPS, the White Wolf Publishing titles Orpheus and Exalted, and the Evil Hat Productions title The Dresden Files.
Writing
Cogman's debut novel The Invisible Library was released in January 2015. The book was the first in an eponymous series, continued by The Masked City (December 2015), The Burning Page (December 2016), The Lost Plot (2017), The Mortal Word (2018), The Secret Chapter (2019), The Dark Archive (2020) and its final title, The Untold Story (2021). The series revolves around a team of secretive undercover librarians who travel to alternate realities to acquire works of fiction on behalf of a sprawling interdimensional library that exists outside of normal space and time. The main character is Irene, a Junior Librarian with a great British humour, and the adventures she has with her assistant and friend, the mysterious and charming Kai. The series incorporates numerous fantasy elements including steampunk, supernatural beings, and magic.
Bibliography
The Invisible Library novels
Book 1: The Invisible Library London: Pan Macmillan, 2015.
Book 2: The Masked City London: Pan Macmillan, 2015.
Book 3: The Burning Page London: Pan Macmillan, 2016.
Book 4: The Lost Plot London: Pan Macmillan, 2017.
Book 5: The Mortal Word London: Pan Macmillan, 2018.
Book 6: The Secret Chapter London: Pan Macmillan, 2019.
Book 7: The Dark Archive London: Pan Macmillan, 2020.
Book 8: The Untold Story London: Pan Macmillan, 2021.
Other books
Lois McMaster Bujold's Vorkosigan Saga: Sourcebook and Roleplaying Game (2009)
Scarlet (2023)
Short fiction
"Snow and Salt" (2004)
"The Final Path" (2016)
References
External links
Official website
Living people
British women novelists
21st-century British novelists
British fantasy writers
Role-playing game designers
White Wolf game designers
Women science fiction and fantasy writers
21st-century British women writers
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Kazuki%20Arinaga | is a Japanese football player, who plays for Iwate Grulla Morioka as a defender.
Career
After four years at Kanto Gakuin University, he joined Nagano Parceiro in January 2011.
Club statistics
Updated to 23 February 2020.
Includes J2/J3 playoffs.
References
External links
Profile at Nagano Parceiro
1989 births
Living people
Kanto Gakuin University alumni
Association football people from Nagasaki Prefecture
Japanese men's footballers
J3 League players
Japan Football League players
AC Nagano Parceiro players
Iwate Grulla Morioka players
Men's association football defenders |
https://en.wikipedia.org/wiki/2016%E2%80%9317%20FC%20Ararat%20Yerevan%20season | The 2016–17 season is a FC Ararat Yerevan's 26th consecutive season in Armenian Premier League. This article shows player statistics and all official matches that the club will play during the 2016–17 season.
Season events
On 5 July 2016, Ararat announced that they would host Persian Gulf Pro League club Esteghlal on 7 July.
On 15 July, Raffi Kaya left Ararat to sign for Swiss club Stade Nyonnais, whilst also announcing the signing of Nassim Aaron Kpehia and Brahima Bruno Koné from Mika.
On 1 August, Ararat announced the signings of Aram Ayrapetyan, Argishti Petrosyan, Hakob and Aram Loretsyan, Karen Avoyan, Happy Simelela and Kouadio Brou. Two days later, Ararat also signed Marat Daudov, Gevorg Poghosyan and Rafael Ghazaryan.
On 6 August 2016, Arkady Andreasyan was appointed as the club's manager in early August 2016.
On 14 October, Ararat announced that they had terminated their contracts with Happy Simelela, Kouadio Brou, Pol Asu Oshi and Brahima Bruno Koné by mutual consent. Two weeks later, Ararat also announced they had terminated their contracts with Souleymane Kone, Oumarou Kaina and Kyrian Nwabueze, also by mutual consent.
On 20 December, Ararat announced wholesale changes to their squad, with Erik Nazaryan, Gor Poghosyan, Revik Yeghiazaryan, David Minasyan, Andranik Kocharyan and Edgar Mkrtchyan all signing for the club, whilst Petros Ter-Petrosyan, Aram Loretsyan, Davit Markosyan and Nassim Aaron Kpehia all left the club.
In February 2017, Ararat moved their home games from the Republican Stadium to Mika Stadium due to renovation work that was needed to be carried out at the Republican Stadium.
Squad
Transfers
In
Out
Loans out
Released
Friendlies
Competitions
Premier League
Results summary
Results by round
Results
Table
Armenian Cup
Statistics
Appearances and goals
|-
|colspan="14"|Players who left Ararat Yerevan during the season:
|}
Goal scorers
Clean sheets
Disciplinary Record
References
FC Ararat Yerevan seasons
Ararat Yerevan |
https://en.wikipedia.org/wiki/Clarke%27s%20generalized%20Jacobian | In mathematics, Clarke's generalized Jacobian is a generalization of the Jacobian matrix of a smooth function to non-smooth functions. It was introduced by .
References
Mathematical optimization |
https://en.wikipedia.org/wiki/Widowhood%20effect | The widowhood effect is the increase in the probability of a person dying in a relatively short period after a long-time spouse has died and has also been called "dying of a broken heart". Being widowed increases the likelihood of developing severe mental disorders along with psychological and other physical illnesses.
Religious differences
A 2009 study by Abel and Kruger compared the likelihood of death between Catholic and Jewish widows, based on the graves of Jewish and Catholic couples in the Midwest. The data suggested that the widowhood effect was stronger in Jewish couples than in Catholic couples. Catholic women lived 11 years after the death of their spouse, while Jewish women lived 9.5 years after the deaths of their husbands. Similarly, the Jewish men lived 5 years after the death of their wives, while the Catholic men lived about 8 years after the death of their wives.
Health effects
Dietary
Research has found that surviving spouses tend to experience significant weight loss after the death of their partner. It has been theorized that these changes in weight are the result of differences in dietary intake before and after the death of a spouse. Danit Shahar and colleagues surveyed 116 older individuals in order to track their weight and eating habits over the course of their longitudinal study. Half of the participants were widowed, and the other half were non-widowed. The study found that the widowed subjects were more likely to eat meals alone than the married individuals. The diets of the widowed subjects consisted of more commercial foods than their counterparts. They also lost a significant amount of weight compared to the married group. The authors hypothesized that this weight loss was the result of the widowed participants not finding as much enjoyment in eating as they once did. This lack of fulfilment during meals was correlated to a lack of companionship while eating. Widowed subjects had less of an appetite and as a result, lost weight over the course of the study.
Mental
The death of a spouse can have a major impact on mental health. Each individual may respond to their spouse's death differently. After the death of a spouse, many widows begin to take more prescription medications for mental health issues. The mental health effects differ between men and women. Men may become more depressed in widowhood compared to women because men may not have a strong enough support group. Married men also report a higher rate of happiness in their marriage, and the death of their spouse could drastically alter this happiness. Men and women both show greater rates of depression after the death of a spouse but the rates of depression in men tend to be higher than in women.
A 2021 systematic review and meta-analysis by Singham, Bell, Saunders, and Stott reported that significant life stressors, such as the loss of a spouse, may be considered a risk factor in cognitive decline.
Takotsubo
Takotsubo cardiomyopathy, also referred to as |
https://en.wikipedia.org/wiki/David%20Kalisch%20%28economist%29 | David Wayne Kalisch (born 9 August 1960) is an Australian economist and public servant. From 2014 to 2019, he was the Australian Statistician in charge of the Australian Bureau of Statistics (ABS).
Early life and education
Kalisch was born in Adelaide, South Australia, and was educated at Brighton High School before studying for a Bachelor of Economics degree at the University of Adelaide.
Public service
Kalisch joined the Australian Public Service in 1982, holding various positions including senior executive roles from 1991. In 2006, he was appointed Deputy Secretary of the Department of Health and Ageing. From 2009 to 2010, he served as a commissioner on the Productivity Commission. In 2010, he was appointed as chief executive officer of the Australian Institute of Health and Welfare, a statutory agency responsible for gathering statistics on health and welfare in Australia. Following his term as Australian Statistician, Kalisch continues to contribute to public service as a consultant undertaking a range of work for public service agencies.
Australian statistician
In December 2014, Kalisch was appointed as the Australian Statistician, the senior bureaucrat in charge of the national statistics agency, the Australian Bureau of Statistics. The position had been vacant for nearly a year when Kalisch's appointment was confirmed by Treasurer Joe Hockey.
In February 2015, Kalisch spoke to The Australian newspaper, where he stated that the ABS needed more funding to upgrade its computer systems and software. While lobbying the federal government for the funds, he also outlined the possibility of charging businesses for statistical data, and developing data linkages between the census or social statistical surveys, and government data such as benefits, Medicare and taxation records. In December 2015, the ABS announced it would be retaining names and addresses from the census indefinitely "for the purpose of richer and more-dynamic statistics". Former Australian Statistician Bill McLennan called the decision "the most significant invasion of privacy ever perpetrated on Australians by the ABS", and questioned the legality of enforcing name collection. Kalisch wrote an opinion column in Fairfax newspapers, saying he had made the decision to enable the ABS to produce better statistics on economic and social outcomes.
David Kalisch led the ABS' efforts to improve its gender diversity, almost doubling the number of female senior leaders in a few months and became a Male Champion of Change (to support gender equality) in 2016.
On the night of the census, 9 August 2016, the census website was taken down and was not restored for nearly two days. Kalisch apologised on behalf of the Bureau for the outage, stating that the site had been subject to a "malicious" denial-of-service attack and had been taken down to prevent exfiltration of census data. Later investigations revealed a misconfigured Internet router that had not been tested was the underlying caus |
https://en.wikipedia.org/wiki/Karen%20Reynolds | Karen Reynolds is an Australian biomedical engineer. She is currently the Deputy Dean of Computer Science, Engineering and Mathematics at Flinders University and a Matthew Flinders Distinguished Professor. Reynolds is the director of the Medical Device Research Institute and founding director of the Medical Device Partnering Program in South Australia, an organisation that facilitates collaboration between researchers, end-users and industry.
Honours and awards
David Dewhurst Medal, 2016
Fellow of the Australian Academy of Health & Medical Sciences, 2014
Medical Technology Association of Australia Outstanding Achievement Award, 2014
South Australian Scientist of the Year, 2012
Named in Top 100 Most Influential Engineers in Australia, 2012, 2013 & 2015
Fellow of the Australian Academy of Technological Sciences & Engineering, 2011
Australian Professional Engineer of the Year, 2010
Australian Learning & Teaching Council Citation, 2011
Boards and committees
Member, Australian Medical Research Advisory Board
Immediate Past Chair, Biomedical Engineering College, Engineers Australia
Chair, National Panel for Biomedical Engineering Education and Research, Engineers Australia
Director, Academy of Technological Sciences & Engineering Board
Chair, Health and Technology Forum, Academy of Technological Sciences & Engineering
Member, South Australian Science Council
Member, Advisory Committee on Medical Devices, Therapeutic Goods Administration
Member, South Australian Selection Panel for The General Sir John Monash Awards
References
Living people
Australian women scientists
Wikibomb2016
Australian women engineers
Fellows of the Australian Academy of Health and Medical Sciences
Fellows of the Australian Academy of Technological Sciences and Engineering
20th-century Australian engineers
21st-century Australian engineers
Academic staff of Flinders University
20th-century women engineers
21st-century women engineers
Year of birth missing (living people)
20th-century Australian women |
https://en.wikipedia.org/wiki/Ghanaians%20in%20Japan | Ghanaians in Japan are Japanese people of full or partial Ghanaian ancestry or Ghanaians who became naturalized citizens of Japan.
Overview
According to the foreign residents statistics of the Ministry of Justice, 2,005 Ghanaians are registered residents in Japan as of 2015. The number of Ghanaians arriving in Japan began to increase in the 1990s.
Notable Ghanaians in Japan
Evelyn Mawuli
Abdul Hakim Sani Brown
Karen Nun-Ira
Michael Yano
Jefferson Tabinas
Paul Tabinas
Zion Suzuki
References
History of Ghana
Ethnic groups in Japan
Japan |
https://en.wikipedia.org/wiki/List%20of%20Commonwealth%20Games%20records%20in%20track%20cycling | This is the list of Commonwealth Games records in track cycling.
Men's records
♦ denotes a performance that is also a current Para-cycling world record. Statistics are correct as of the 2018 Commonwealth Games.
Women's records
♦ denotes a performance that is also a current Para-cycling world record. Statistics are correct as of the 2018 Commonwealth Games.
See also
Commonwealth Games records
References
Track cycling records
Track cycling at the Commonwealth Games
Commonwealth Games records
Commonwealth Games |
https://en.wikipedia.org/wiki/Anaru%20Rangi | Anaru Rangi (born 19 October 1988) is a New Zealand-born rugby union footballer who currently plays as a hooker for the Melbourne Rebels in Super Rugby.
Super Rugby statistics
References
1988 births
Living people
Australian rugby union players
Rugby union hookers
Western Force players
Perth Spirit players
New Zealand emigrants to Australia
Melbourne Rebels players
Melbourne Rising players
New Zealand expatriate rugby union players
Urayasu D-Rocks players
Expatriate rugby union players in Japan
Rugby union players from the Wellington Region
Bay of Plenty rugby union players |
https://en.wikipedia.org/wiki/Daniel%20Parra | Daniel Alexis Parra Durán (born 20 July 1999) is a Mexican professional footballer who plays as a left-back for Liga MX club Monterrey.
Career statistics
Club
Honours
Monterrey
CONCACAF Champions League: 2021
References
External links
Living people
1999 births
Mexican men's footballers
Men's association football defenders
C.F. Monterrey players
Liga MX players
Liga Premier de México players
Tercera División de México players
Footballers from Guanajuato
People from Celaya
Raya2 Expansión players |
https://en.wikipedia.org/wiki/Garden%20of%20Archimedes | The Garden of Archimedes (Italian: Il Giardino Di Archimede) is a museum for mathematics in Florence, Italy. It was founded on March 26, 2004 and opened its doors to the public on April 14 of that year. The mission of the museum is to enhance public understanding and perception of mathematics, to bring mathematics out of the shadows and into the limelight. It has been compared to the National Museum of Mathematics in New York City, the only museum in North America devoted to mathematics.
History
The Garden of Archimedes was set up in 2004 by a consortium of government and educational agencies. Current members of the consortium include: the Scuola Normale Superiore di Pisa, the University of Florence, the University of Pisa, the University of Siena, the Italian Mathematical Union, the Istituto Nazionale di Alta Matematica Francesco Severi, the Consortium for the Promotion of Culture of Research and Studies at the University of Avellino. The Consortium is based in Florence, at the Department of Mathematics "Ulisse Dini". The President of the consortium is the mathematician Enrico Giusti.
One initiative of the Garden of Archimedes is to create a history of Mathematics on CD-ROM and distribute it along with related supporting texts.
Sections
Inspired by museums such at The Exploratorium in San Francisco the Garden of Archimedes is packed with hands-on exhibits and is popular with both adults and children. The museum is divided into different sections or exhibitions, corresponding to different ways of discovering mathematics:
Beyond compasses: the geometry of curves explores the mathematics concealed in everyday objects. Pythagoras and his theorem focuses on puzzles and play inspired by the seminal theorem. A bridge over the Mediterranean is a historical exhibition focusing on Leonardo Fibonacci and his Liber Abaci with emphasis on how mathematics from the Islamic world was reintroduced to Medieval Europe. Helping Nature: from Galileo's Mechanics to everyday life is an interactive exhibit showing how Galileo used mathematics to reveal the working of simple machines. Weapons of mass education features mathematically based games and puzzles. Other historical sections include A short history of calculus, A short history of trigonometry, Ancient mathematics through stamps, and Pink Numbers – Women and Mathematics.
References
External links
Official website
Playing with Mathematics at Il Giardino di Archimede by Enrico Giusti
Mathematics museums
2004 establishments in Italy
Museums in Florence
Science museums in Italy
Buildings and structures in Florence |
https://en.wikipedia.org/wiki/Sreenivasa%20Rao%20Jammalamadaka | Sreenivasa Rao Jammalamadaka, also known as J.S. Rao, is a statistician specializing in directional statistics, Goodness of fit tests, Spacings, and aspects of large sample efficiencies and inference. He was born in Munipalle, Andhra Pradesh, India, and currently is a naturalized US citizen. He now resides and works at the University of California, Santa Barbara as a Distinguished Professor in Statistics. He is known for his important contributions to circular statistics and to tests and estimation based on spacings.
Life and career
J.S. Rao was educated for a year at the YRS and VRN College in Chirala, followed by the Indian Statistical Institute, Kolkata (B. Stat.1964, M.Stat. 1965, and Ph.D. 1969), where he received education from notable professors including P.C. Mahalanobis, C. R. Rao, J.B.S. Haldane, and D. Basu. He held academic positions at the Indiana University, Bloomington and the University of Wisconsin, Madison, before settling at the University of California, Santa Barbara from 1976. He was instrumental in establishing the Department of Statistics and Applied Probability at the University of California, Santa Barbara, for which he served as its first Chairman. He now holds the position as a Distinguished Professor at the University of California, Santa Barbara.
J.S. Rao is the author of over 200 publications and has written 3 scholarly books and edited conference proceedings and other special volumes. He has guided 46 Ph.D. students thus far. For his research guidance and mentoring activity at UCSB and worldwide, the University of California, SB recognized him in 2017 with an Outstanding Graduate Mentor Award. His students and co-workers brought out a Festschrift in his honor in 2011.
In 2012 he was awarded an Honorary Doctorate in Forest Sciences by the Swedish University of Agricultural Sciences.
J.S. Rao is an Elected a Member of the International Statistical Institute (1977), Fellow of the Institute of Mathematical Statistics (1990), Fellow of the Institute of Combinatorics and its Applications (1990), Fellow of the American Statistical Association (1993), and an Honorary Fellow of the Indian Society for Probability and Statistics (2014). He received an Award for Academic Excellence from his compatriots, the Telugu Association of North America in 1997. In 2019, he received the C. R. Rao Lifetime Achievement Award from the Indian Society for Probability and Statistics.
Books
Topics in Circular Statistics (coauthored with Ashis SenGupta)
Essential Statistics with Python and R
Linear Models and Regression with R-An Integrated Approach(coauthored with Debasis Sengupta)
References
External links
Homepage
A Conversation with JS Rao.
Living people
University of California, Santa Barbara faculty
1944 births
People with acquired American citizenship
People from Guntur district
Indian emigrants to the United States
Fellows of the American Statistical Association
American academics of Indian descent
Indian statisticians
A |
https://en.wikipedia.org/wiki/Antoinette%20Tordesillas | Antoinette A. Tordesillas is a professor of applied mathematics at the University of Melbourne, Australia who has helped build a foundational understanding of the dynamics of granular materials. She received the J H Michell Medal in 2000 and her major contributions include research predicting the response of extraterrestrial soil to attempts to build, mine, or drill and a model that can identify the location and time of future landslides or earthquakes by analyzing slope stability changes.
Education and career
Tordesillas attended the University of Adelaide where she majored in applied mathematics and physical and inorganic chemistry and earned a B.S. in 1986. Her honours thesis in applied mathematics involved the development of a model of the hot-dip galvanising process for creating sheet metal.
She earned her Ph.D. in solid mechanics in 1992 from the University of Wollongong with a dissertation involving the contact mechanics of roller coating supervised by James Murray Hill.
After temporary positions at the University of Colorado at Boulder and Kansas State University, she joined the University of Melbourne department of mathematics and statistics in 1996. She took on a joint position in geomechanics there in 2013 and was promoted to full professor in 2016.
At the University of Melbourne, Tordesillas teaches as the senior mathematics and statistics lecturer, heads the Micromechanics of Granular Media Group, and conducts research across the fields of mathematics, engineering, physics, and geophysics. This research has involved international collaborations, multidisciplinary teams, and large-scale projects funded by various international agencies including NASA, the Hong Kong Research Council, the US National Science Foundation, and the US Department of Defense. Much of her research centers around understanding the dynamics of granular materials and applications of this pursuit including predicting seismic activity and preparing for future space travel.
Research
Understanding martian and lunar soil
Tordesillas, in collaboration with NASA, led a team studying the soil of Mars and the moon with the aim of understanding how their surfaces would respond to attempts to build, mine, or drill. NASA approached Tordesillas at the recommendation of the US Army, who named her as the authority to consult about sand. To tackle the project, Tordesillas and her team at the University of Melbourne used data about extraterrestrial soil and photos collected by orbiters and rovers in conjunction with a study of granule dynamics. This approach involved testing simulated space soil, computer modeling the effects of added pressure, and considering simpler models of highly idealized particles adjusted for differences in the strength of gravity. Tordesillas contemplated highly idealized particles that were round and uniform while questioning how the unique shapes observed on Mars and the moon formed. She recognized that many different local conditions would need |
https://en.wikipedia.org/wiki/Tristan%20Rivi%C3%A8re | Tristan Rivière (born 26 November 1967, Brest) is a French mathematician, working on partial differential equations and the calculus of variations.
Biography
Rivière studied at the École Polytechnique and obtained his PhD in 1993 at the Pierre and Marie Curie University, under the supervision of Fabrice Bethuel, with a thesis on harmonic maps between manifolds. In 1992 he was appointed chargé de recherche at CNRS. In 1997 he received his habilitation at the University of Paris-Sud in Orsay. From 1999 to 2000 he was a visiting associate professor at the Courant Institute of Mathematical Sciences (New York University). Since 2003 he is full professor at ETH Zurich and since 2009 he is the Director of the Institute for Mathematical Research at ETH.
Research activity
His research interests include partial differential equations in physics (liquid crystals, Bose–Einstein condensates, micromagnetics, Ginzburg–Landau theory of superconductivity, gauge theory) and differential geometry (harmonic maps between manifolds, geometric flows, minimal surfaces, the Willmore functional and Yang–Mills fields). His work focuses in particular on non-linear phenomena, formation of vortices, energy quantization and regularity issues.
Awards and recognition
In 1996 he received the Bronze Medal of the CNRS, while in 2003 he was awarded the first Stampacchia Medal. In 2002 he was an invited speaker at the International Congress of Mathematicians in Beijing, where he gave a talk on bubbling, quantization and regularity issues in geometric non-linear analysis.
Selected publications
"Everywhere discontinuous Harmonic Maps into Spheres." Acta Mathematica, 175 (1995), 197-226
with F. Pacard: Linear and Nonlinear Aspects of Vortices. Birkhäuser 2000
"Conservation laws for conformally invariant variational problems". Inventiones Math., 168 (2007), 1-22
with R. Hardt: "Connecting rational homotopy type singularities of maps between manifolds". Acta Mathematica, 200 (2008), 15-83
"Analysis Aspects of Willmore Surfaces". Inventiones Math., 174 (2008), no. 1, 1-45
with G. Tian: "The singular set of 1-1 Integral currents". Annals of Mathematics, 169 (2009), no. 3, 741-794
with Y. Bernard: "Energy Quantization for Willmore Surfaces and Applications". Annals of Mathematics, 180 (2014), no. 1, 87-136
"A viscosity method in the min-max theory of minimal surfaces". Publications mathématiques de l'IHÉS, 126 (2017), no. 1, 177-246
External links
Homepage, ETH Zürich
1967 births
Living people
French mathematicians
Mathematical analysts
Academic staff of ETH Zurich
Pierre and Marie Curie University alumni
Courant Institute of Mathematical Sciences faculty
Academic staff of the University of Paris |
https://en.wikipedia.org/wiki/KingFut | KingFut is an English-based Egyptian website providing a variety of news and statistics for the sports in Egypt, most focused on football in Egypt and news on Egyptian expatriate footballers.
History
The website was launched on 13 July 2012 by three young Egyptian journalists, Adam Moustafa, Mohamed Seif, and Moustafa El-Chiati, as an English-language news source covering Egyptian football.
Since May 2015, KingFut includes handball and squash news.
On 26 May 2016, a partnership with Juventus was announced.
On 13 August 2016, KingFut was appointed by Premier League club Stoke City to manage its official Arabic social media accounts and digital media presence across different platforms, just two weeks after the English club announced the signing of Egypt's wonderkid Ramadan Sobhi. This move was part of the English club's strategy to expand its international reach and communicate with Arabic speaking fans in Western Asia, Northern Africa and the Arab diaspora.
References
Internet properties established in 2012
Egyptian sport websites
Association football websites |
https://en.wikipedia.org/wiki/Gast%C3%B3n%20Gaudio%20career%20statistics | This is a list of the main career statistics of Argentine professional tennis player Gastón Gaudio.
Historic Achievements
By winning the 2004 French Open, Gaudio became the first Argentine to win a Grand Slam since Guillermo Vilas in 1979, and the first man ever to win a Grand Slam after losing the first set 6–0. He became the fifth-lowest-ranked player to win a Grand Slam, and the only men together with Novak Djokovic to date in the open era to win a Grand Slam having saved match points in the final.
Grand Slam finals
Singles: 1 (1 title)
ATP career finals
Singles: 16 (8 titles, 8 runners-up)
Doubles: 3 (3 titles)
Other finals
ATP Challengers and ITF Futures finals: 10 (8 titles, 2 runners-up)
Wins (8)
Runners-up (2)
Exhibition finals: ? (? titles, ? runners-up)
Performance timelines
Singles
Davis Cup and World Team Cup matches are included in the statistics. Walkovers are neither official wins nor official losses.
Doubles
Davis Cup and World Team Cup matches are included in the statistics. Walkovers are neither official wins nor official losses.
Winning streaks
Career Grand Slam tournament seedings
The tournaments won by Gaudio are in boldface.
Record against other players
Top 10 wins
ATP Tour career earnings
ITF Davis Cup
Summer Olympics matches
Singles
References
External links
Tennis career statistics |
https://en.wikipedia.org/wiki/2016%20North%20Melbourne%20Football%20Club%20season | The 2016 AFL season was the 91st season in the Australian Football League (AFL) contested by the North Melbourne Football Club.
Squad for 2016
Statistics are correct as of end of 2015 season.
Flags represent the state of origin, i.e. the state in which the player played his Under-18s football.
For players: (c) denotes captain, (vc) denotes vice-captain, (lg) denotes leadership group.
For coaches: (s) denotes senior coach, (cs) denotes caretaker senior coach, (a) denotes assistant coach, (d) denotes development coach.
Playing list changes
The following summarises all player changes between the conclusion of the 2015 season and the beginning of the 2016 season.
In
Out
List management
Season summary
Pre-season matches
Home and away season
Finals matches
Ladder
Individual awards and records
Milestones
Debuts
1Had previously played for another club but played their first match for the North Melbourne.
AFL Rising Star
References
North Melbourne |
https://en.wikipedia.org/wiki/Kentaro%20Kakoi | is a Japanese footballer who currently plays for Blaublitz Akita.
Club team career statistics
Updated to 6 January 2023.
Reserves performance
Last Updated: 25 February 2019
References
External links
Profile at Cerezo Osaka
Profile at FC Tokyo
1991 births
Living people
Momoyama Gakuin University alumni
Association football people from Nagasaki Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
FC Tokyo players
FC Tokyo U-23 players
Cerezo Osaka players
Cerezo Osaka U-23 players
Avispa Fukuoka players
Matsumoto Yamaga FC players
SC Sagamihara players
Blaublitz Akita players
Men's association football goalkeepers
Universiade bronze medalists for Japan
Universiade medalists in football
Medalists at the 2013 Summer Universiade |
https://en.wikipedia.org/wiki/Ryutaro%20Iio | is a Japanese footballer who plays as a defender for J2 League club Blaublitz Akita.
Career
Following the departure of Shuto Inaba in 2022, Iio was made captain of Akita.
Club statistics
Updated to 30 November 2022.
References
External links
Profile at V-Varen Nagasaki
Profile at Matsumoto Yamaga FC
Profile at Sendai
Profile at Akita
1991 births
Living people
Hannan University alumni
Association football people from Hyōgo Prefecture
Japanese men's footballers
J1 League players
J2 League players
Matsumoto Yamaga FC players
V-Varen Nagasaki players
Vegalta Sendai
Blaublitz Akita players
Men's association football midfielders |
https://en.wikipedia.org/wiki/L%C3%A9o%20Mineiro | Léo Mineiro (born 10 March 1990) is a Brazilian footballer who plays for Fagiano Okayama.
Club team career statistics
Updated as of 5 December 2017.
References
External links
1990 births
Living people
Footballers from Belo Horizonte
Brazilian men's footballers
Men's association football forwards
J2 League players
FC Gifu players
Jeju United FC players
Daegu FC players
Busan IPark players
Al-Markhiya SC players
Avispa Fukuoka players
Fagiano Okayama players
K League 1 players
K League 2 players
Qatar Stars League players
Brazilian expatriate men's footballers
Brazilian expatriate sportspeople in Japan
Expatriate men's footballers in Japan
Brazilian expatriate sportspeople in South Korea
Expatriate men's footballers in South Korea
Expatriate men's footballers in Qatar
Brazilian expatriate sportspeople in Qatar |
https://en.wikipedia.org/wiki/Keita%20Sogabe | is a Japanese footballer who plays for J.FC Miyazaki.
Club team career statistics
Updated to 23 February 2018.
References
External links
Profile at SC Sagamihara
1988 births
Living people
Association football people from Hyōgo Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Japan Football League players
Vissel Kobe players
Vegalta Sendai players
Zweigen Kanazawa players
SC Sagamihara players
Nara Club players
Veroskronos Tsuno players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Dialling | Dialling may refer to:
Dialling (mathematics), the mathematics needed to determine solar time
Dialling (telephony), making a telephone call |
https://en.wikipedia.org/wiki/Daiki%20Ogawa | is a Japanese footballer who plays for Júbilo Iwata.
Club statistics
Updated to 8 August 2022.
References
External links
Profile at Júbilo Iwata
1991 births
Living people
Meiji University alumni
Association football people from Shizuoka Prefecture
Japanese men's footballers
J1 League players
J2 League players
Júbilo Iwata players
Men's association football defenders
Universiade bronze medalists for Japan
Universiade medalists in football
Medalists at the 2013 Summer Universiade |
https://en.wikipedia.org/wiki/National%20Institute%20of%20Statistics%20of%20Rwanda | The National Institute of Statistics of Rwanda (NISR; ) is a government-owned agency responsible for collecting, analyzing, archiving and disseminating national statistical data, with the objective of aiding the government of Rwanda in making appropriate, timely, evidence-based national decisions.
Prior to September 2005 it was known as the Direction de la Statistique.
Location
The headquarters of NISR are located on KN2 Avenue, in the Nyarugenge neighborhood of the city of Kigali, Rwanda's capital city. The coordinates of the agency's headquarters are 01°56'29.0"S, 30°03'26.0"E (Latitude:-1.941384; Longitude:30.057225).
Overview
Among its multiple functions, is the task of working with the National Census Commission to process the census data, including the validation, tabulation, dissemination and archiving of the final census data. The last national census was conducted in August 2012. The agency also publishes periodic national economic data for Rwanda.
See also
Economy of Rwanda
Diane Karusisi
References
External links
Website of National Institute of Statistics of Rwanda
Government of Rwanda
Economy of Rwanda
Organizations established in 2005
2005 establishments in Rwanda
Rwanda
Kigali |
https://en.wikipedia.org/wiki/Convolution%20quotient | In mathematics, a space of convolution quotients is a field of fractions of a convolution ring of functions: a convolution quotient is to the operation of convolution as a quotient of integers is to multiplication. The construction of convolution quotients allows easy algebraic representation of the Dirac delta function, integral operator, and differential operator without having to deal directly with integral transforms, which are often subject to technical difficulties with respect to whether they converge.
Convolution quotients were introduced by , and their theory is sometimes called Mikusiński's operational calculus.
The kind of convolution with which this theory is concerned is defined by
It follows from the Titchmarsh convolution theorem that if the convolution of two functions that are continuous on is equal to 0 everywhere on that interval, then at least one of is 0 everywhere on that interval. A consequence is that if are continuous on then only if This fact makes it possible to define convolution quotients by saying that for two functions ƒ, g, the pair (ƒ, g) has the same convolution quotient as the pair (h * ƒ,h * g).
As with the construction of the rational numbers from the integers, the field of convolution quotients is a direct extension of the convolution ring from which it was built. Every "ordinary" function in the original space embeds canonically into the space of convolution quotients as the (equivalence class of the) pair , in the same way that ordinary integers embed canonically into the rational numbers. Non-function elements of our new space can be thought of as "operators", or generalized functions, whose algebraic action on functions is always well-defined even if they have no representation in "ordinary" function space.
If we start with convolution ring of positive half-line functions, the above construction is identical in behavior to the Laplace transform, and ordinary Laplace-space conversion charts can be used to map expressions involving non-function operators to ordinary functions (if they exist). Yet, as mentioned above, the algebraic approach to the construction of the space bypasses the need to explicitly define the transform or its inverse, sidestepping a number of technically challenging convergence problems with the "traditional" integral transform construction.
References
Generalized functions |
https://en.wikipedia.org/wiki/Daouda%20Konat%C3%A9 | Daouda Konaté (born 14 December 1991) is an Ivorian professional footballer who currently plays for French club FC Fleury 91 as a defender.
Career statistics
References
Daouda Konaté at foot-national.com
1991 births
Living people
People from Abidjan
Ivorian men's footballers
Men's association football defenders
UJA Maccabi Paris Métropole players
Paris FC players
USL Dunkerque players
Tours FC players
Pau FC players
Ligue 2 players
Championnat National players
FC Fleury 91 players |
https://en.wikipedia.org/wiki/Albert%20Costa%20career%20statistics | This is an (incomplete) list of main career statistics page of Spanish professional tennis player Albert Costa.
Significant finals
Grand Slam finals
Singles: 1 (1–0)
Masters Series finals
Singles: 3 (1–2)
ATP career finals
Singles: 21 (12 titles, 9 runners-up)
Doubles: 1 (1 title)
Performance timelines
Singles
Top 10 wins
Tennis in Spain
Sport in Spain
Costa |
https://en.wikipedia.org/wiki/M.%20Gweneth%20Humphreys%20Award | The M. Gweneth Humphreys Award or Humphreys Award is a mathematics award established by the Association for Women in Mathematics in recognition of mathematics educators who have exhibited outstanding mentorship. The award is named for Mabel Gweneth Humphreys (1911-2006) who earned her Ph.D. at age 23 from the University of Chicago in 1935.
She taught mathematics to women for her entire career, first at Mount St. Scholastica College, then for several years at Sophie Newcomb College, and finally for over thirty years at Randolph Macon Woman's College. This award, funded by contributions from her former students and colleagues at Randolph-Macon Woman's College, recognizes her commitment to and her influence on undergraduate students of mathematics.
Recipients
The following mathematicians have been honored with the Humphreys Award:
See also
List of mathematics awards
References
Awards and prizes of the Association for Women in Mathematics
Awards established in 2011
Mathematics education awards |
https://en.wikipedia.org/wiki/Karol%C3%ADna%20Pl%C3%AD%C5%A1kov%C3%A1%20career%20statistics | This is a list of career statistics of Czech professional tennis player Karolína Plíšková since her professional debut in 2006. Plíšková has won 16 singles titles, including two WTA Premier 5 titles in Cincinnati and Rome. Plíšková has also won five doubles titles, including one at Premier level with fellow Czech Barbora Strýcová.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records.
Singles
Current through the 2023 Guadalajara Open.
Doubles
Current through the 2023 US Open.
Mixed doubles
Grand Slam finals
Singles: 2 (2 runner-ups)
Other significant finals
WTA Elite Trophy
Singles: 1 (runner-up)
WTA 1000 finals
Singles: 7 (2 titles, 5 runner-ups)
Doubles: 1 (runner-up)
WTA career finals
Singles: 32 (16 titles, 16 runner-ups)
Doubles: 7 (5 titles, 2 runner-ups)
Team competition finals
Billie Jean King Cup: 3 (3 titles)
ITF finals
Singles: 16 (10 titles, 6 runner-ups)
Doubles: 12 (6 titles, 6 runner-ups)
Junior Grand Slam finals
Girls' singles: 1 (1 title)
ITF Finals
Singles: 3 (2 titles, 1 runner-up)
Doubles: 6 (3 titles, 3 runner-ups)
Fed Cup/Billie Jean King Cup participation
Singles: 18 (11–7)
Doubles: 5 (4–1)
WTA ranking
WTA Tour career earnings
Correct after the 2023 Canadian Open.
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|-style=background:#eee;font-weight:bold
|width="90"|Year
|width="100"|Grand Slam <br/ >titles|width="100"|WTA <br/ >titles
|width="100"|Total <br/ >titles
|width="120"|Earnings ($)
|width="100"|Money list rank
|-
|2013
|0
|2
|2
| align="right" |296,840
|87
|-
|2014
|0
|5
|5
| align="right" |768,635
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|-
|2015
|0
|1
|1
| align="right" |1,658,155
|18
|-
|2016
|0
|3
|3
| align="right" |3,976,093
| bgcolor="eee8aa" |5
|-
|2017
|0
|3
|3
| align="right" |3,902,665
| bgcolor="eee8aa" |7
|-
|2018
|0
|2
|2
| align="right" |3,539,050
| bgcolor="eee8aa" |8
|-
|2019
|0
|4
|4
| align="right" |5,138,077
| bgcolor="eee8aa" |6
|-
|2020
|0
|1
|1
| align="right" |888,916
|15
|-
|2021
|0
|0
|0
| align="right" |2,868,865
|bgcolor=eee8aa|4
|-
|2022
|0
|0
|0
| align="right" |1,024,297
|35
|-
|2023
|0
|0
|0
| align="right" |864,616
|32
|- style="font-weight:bold;"
|Career
|0
|21
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| align="right" |25,159,211
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Career Grand Slam statistics
Grand Slam tournament seedings
The tournaments won by Plíšková are in boldface, and advanced into finals by Plíšková are in italics.
Best Grand Slam results details
Grand Slam winners are in boldface', and runner–ups are in italics.''
Record against other players
No. 1 wins
Record against top 10 players
She has a 39–49 () record against players who were, at the time the match was played, ranked in the top 10.
Longest winning streaks
11–match singles winning streak (2016)
Notes
References
External links
Karolína Plíšková at CoreTennis
Pliskova, Karolina |
https://en.wikipedia.org/wiki/Glivenko%27s%20theorem%20%28probability%20theory%29 | In probability theory, Glivenko's theorem states that if , are the characteristic functions of some probability distributions respectively and almost everywhere, then in the sense of probability distributions.
References
Theory of probability distributions
Probability theorems |
https://en.wikipedia.org/wiki/Eulerian%20coherent%20structure | In applied mathematics, objective Eulerian coherent structures (OECSs) are the instantaneously most influential surfaces or curves that exert a major influence on nearby trajectories in a dynamical system over short time-scales, and are the short-time limit of Lagrangian coherent structures (LCSs). Such influence can be of different types, but OECSs invariably create a short-term coherent trajectory pattern for which they serve as a theoretical centerpiece. While LCSs are intrinsically tied to a specific finite time interval, OECSs can be computed at any time instant regardless of the multiple and generally unknown time scales of the system.
In observations of tracer patterns in nature, one readily identifies short-term variability in material structures such as emerging and dissolving coherent features. However, it is often the underlying structure creating these features that is of interest. While individual tracer trajectories forming coherent patterns are generally sensitive with respect to changes in their initial conditions and the system parameters, OECSs are robust and reveal the instantaneous time-varying skeleton of complex dynamical systems. Despite OECSs are defined for general dynamical systems, their role in creating coherent patterns is perhaps most readily observable in fluid flows. Therefore, OECSs are suitable in a number of applications ranging from flow control to environmental assessment such as now-casting or short-term forecasting of pattern evolution, where quick operational decisions need to be made. Examples include floating debris, oil spills, surface drifters, and control of unsteady flow separation.
References
Dynamical systems
Fluid dynamics |
https://en.wikipedia.org/wiki/Martin%20Sekuli%C4%87 | Martin Sekulić (1833–1905) was a mathematics and physics teacher from Karlovac, one of the few high-school professors who were members of the Croatian community of physicists at the time.
Biography
Martin Sekulić was born in Lovinac. He taught at the Higher Real School in Rakovac (today Karlovac).
He was a corresponding member () of the Yugoslav Academy of Sciences and Arts. He was also a member of the Croatian pedagogic and literary society (Hrvatski pedagogijsko-književni zbor).
He published several articles in German-language journals, such as in the Annalen der Physik in 1872 and 1875.
He published several works in the Rad journal of the Yugoslav Academy of Sciences and Arts, such as Fluorescencija i calcescencija (1871) and Iztraživanje sunčane duge (1873). In the 1871 treatise, he explains the effect of the luminescence in some elements and in the 1873 one he talks about the visible spectrum of the sun's light. In the 1871 treatise, Sekulić also predicted the existence of electromagnetic oscillations at different frequencies.
During the period in which Martin Sekulić was the custodian of the science cabinet of his high school, he would inform his students of the very latest discoveries in the world of physics, and by the school year 1880/81 they had amassed a total of 277 machines for demonstration purposes, including a spectroscope modified by Sekulić himself.
Sekulić died in Zagreb.
Legacy
The inventor Nikola Tesla noted in his 1919 autobiography My Inventions that when he attended the Kraljevska Velika Realka in Rakovac (Karlovac) between 1870 and 1873, demonstrations of electricity by his "professor of physics" sparked his interest in this "mysterious phenomena" and made him want "to know more of this wonderful force". The details of who was teaching physics at that time and the nature of the demonstrations described have led some to conclude this professor was Martin Sekulić. In his biography of Tesla, Ćiril Petešić notes that Tesla does not mention which professor this was by name, but thinks the evidence points to it being prof. Martin Sekulić.
References
Sources
Croatian physicists
1833 births
1905 deaths |
https://en.wikipedia.org/wiki/Verschiebung%20operator | In mathematics, the Verschiebung or Verschiebung operator V is a homomorphism between affine commutative group schemes over a field of nonzero characteristic p. For finite group schemes it is the Cartier dual of the Frobenius homomorphism. It was introduced by as the shift operator on Witt vectors taking (a0, a1, a2, ...) to (0, a0, a1, ...). ("Verschiebung" is German for "shift", but the term "Verschiebung" is often used for this operator even in other languages.)
The Verschiebung operator V and the Frobenius operator F are related by FV = VF = [p], where [p] is the pth power homomorphism of an abelian group scheme.
Examples
If G is the discrete group with n elements over the finite field Fp of order p, then the Frobenius homomorphism F is the identity homomorphism and the Verschiebung V is the homomorphism [p] (multiplication by p in the group). Its dual is the group scheme of nth roots of unity, whose Frobenius homomorphism is [p] and whose Verschiebung is the identity homomorphism.
For Witt vectors the Verschiebung takes (a0, a1, a2, ...) to (0, a0, a1, ...).
On the Hopf algebra of symmetric functions the Verschiebung Vn is the algebra endomorphism that takes the complete symmetric function hr to hr/n if n divides r and to 0 otherwise.
See also
Dieudonné module
References
Algebraic groups |
https://en.wikipedia.org/wiki/Rolando%20Chuaqui | Rolando Basim Chuaqui Kettlun (December 30, 1935–April 23, 1994) was a Chilean mathematician who worked on the foundations of probabilities and foundations of mathematics. Throughout his lifetime, he published two books and over 50 journal articles in mathematics and logic. He also spearheaded the creation and expansion of mathematics departments across multiple Chilean universities.
Biography
Chuaqui entered the University of Chile in 1953 to study medicine. He obtained a Ph.D. in Logic and the Methodology of Science, an interdisciplinary program between the Department of Mathematics and Department of Philosophy, from the University of California, Berkeley in 1965. His doctoral advisor was David Blackwell. Chuaqui returned to Chile after graduating, serving as a professor at the University of Chile and then the Pontifical Catholic University of Chile. During his time at the Pontifical Catholic, he advised three doctoral students.
Chuaqui held several visiting positions, including at UCLA (1967), Princeton University (1970), University of São Paulo (1971 and 1982), University of California, Berkeley (1973–74), University of Campinas (1976, 1977 and 1978), Stanford University (1984), and San José State University (1986-89).
He was a long-term collaborator of Patrick Suppes, with whom he worked on non-standard analysis and measurement in sciences. In 1986, he proposed a mathematical formulation for pragmatic truth.
Honors and awards
He was awarded a Guggenheim Fellowship in Mathematics in 1983.
Since 1999, a series of annual research conferences in Chile, known as the Jornadas Rolando Chuaqui Kettlun, is held in his memory. The Pontifical Catholic University of Chile also has a building named after him, which houses its Department of Mathematics.
References
1935 births
1994 deaths
University of California, Los Angeles faculty
Princeton University faculty
University of California, Berkeley faculty
Academic staff of the State University of Campinas
Stanford University Department of Mathematics faculty
San Jose State University faculty
Scientists from Santiago
20th-century Chilean mathematicians |
https://en.wikipedia.org/wiki/Runze%20Li | Runze Li is an American statistical scientist, currently the Eberly Family Chair Professor in Statistics at Eberly College of Science, Pennsylvania State University.
He became a Fellow of Institute of Mathematical Statistics in 2009, a Fellow of the American Statistical Association in 2011 and a Fellow of the American Association for the Advancement of Science in 2017.
Education
He earned his Ph.D at University of North Carolina at Chapel Hill in 2000.
Research
His highest cited paper is Variable selection via nonconcave penalized likelihood and its oracle properties at 7390 times, according to Google Scholar.
Publications
Fang, K.-T., Li, R. and Sudjianto, A. (2005). Design and Modeling for Computer Experiments. Chapman & Hall/CRC.
Zou, H., Li, R. One-step sparse estimates in nonconcave penalized likelihood models. Ann Stat. 2008 Aug 1; 36(4): 1509–1533.
Wang, Hansheng, Li, Runze, Tsai, Chih-Ling. Tuning parameter selectors for the smoothly clipped absolute deviation method. Biometrika, Volume 94, Issue 3, 1 August 2007, Pages 553–568
References
Year of birth missing (living people)
Living people
Pennsylvania State University faculty
American statisticians
Fellows of the American Statistical Association
Annals of Statistics editors |
https://en.wikipedia.org/wiki/Gail%20Letzter | Gail Letzter (born September 12, 1960 in Nyack, New York) is an American mathematician specializing in the representation theory of quantum groups. Letzter is technical director of the mathematics research group of the National Security Agency.
Education and career
Letzter received her B.A. from Harvard University in 1982 and her Ph.D. in mathematics from the University of Chicago in 1987. Letzter wrote her Ph.D. dissertation under I.N. Herstein and was later awarded a National Science Foundation Postdoctoral Fellowship supported by MIT. She held tenured positions in the mathematics departments at Wayne State University and Virginia Tech. In 2006, Letzter moved to the National Security Agency with the title of applied research mathematician, where she currently serves as technical director of the mathematics research group at the rank of defense intelligence senior level.
She served as Lie algebra editor of the Proceedings of the American Mathematical Society from 2007 - 2011. In 2008 she published a research memoir in the series Memoirs of the American Mathematical Society entitled Invariant Differential Operators for Quantum Symmetric Space. She has been an active member of the Association for Women in Mathematics (AWM), was elected as an at-large member of the executive committee of the association in 2015 and served on that body from 2016 - 2020. She chaired the AWM policy and advocacy committee from 2016 - 2018.
She was one of the primary organizers of the 2015 AWM Research Symposium, which was held at the University of Maryland in College Park, Maryland. She was an editor of the proceedings of this research symposium.
Research
1989 marked the beginning of a long collaboration with Anthony Joseph at the Weizmann Institute in Israel. Their joint investigations of quantum groups included the discovery of the locally finite part and other contributions, "which greatly contribute to our understanding of quantized enveloping algebras" according to one reviewer. Subsequently, Letzter began her own seminal analysis of quantum symmetric pairs from the perspective of Hopf algebras, culminating in a complete classification. This work has served as the basis for breakthrough research by others on canonical bases , categorification, and geometric representation theory.
Recognition
Letzter was recognized as a fellow of the Association of Women in Mathematics (AWM) in the class of 2021. Her citation read "For work in government and in AWM on behalf of women in mathematics, leading the AWM Policy and Advocacy Committee to formally establish the Hill visits program to advocate for women and girls with members of Congress, and co-organizing the 2015 AWM symposium and editing its proceedings".
Books
References
External links
Gail Letzter's Author Profile Page on MathSciNet
Living people
20th-century American mathematicians
21st-century American mathematicians
Women mathematicians
Harvard University alumni
University of Chicago alumni
Fello |
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