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https://en.wikipedia.org/wiki/Crime%20in%20San%20Diego
The city government of San Diego tracks crime in San Diego and has published crime statistics since 1950. In San Diego, the crime rate is relatively low compared to the rest of the United States. Several news sources ranked San Diego within the top twenty safest cities in the United States since 2010. In 2017, the crime rate in San Diego was the lowest it had ever been since 1959. Despite the city's low crime rate, San Diego is a major port in the international illegal drug trade, especially when it comes to methamphetamine and fentanyl, produced and trafficked largely by the Sinaloa Cartel. In the 1980s, the city was called the meth capital of the United States, and in the 2020s, the city and the larger region became a national epicenter of fentanyl trafficking. The city has also faced scandals from public officials over the decades, with several mayors being forced to resign. Overview In 2006, Police Chief William Lansdowne said that San Diego became the sixth-safest city among those in the country with at least 500,000 people in 2004. In 2005, the violent crime rate reached a 25-year low at 4.5 crimes per 1,000 population. Since 2010, news organizations have included San Diego among the twenty safest cities in the United States: 9th in 2010 by Forbes, 20th in 2012 by Business Insider, and 12th in 2019 by U.S. News & World Report. In 2017, the Federal Bureau of Investigation named San Diego the safest big city in the U.S. due to its homicide rate in 2016. The violent crime rate of the city in 2017 was 3.7 per 1,000 people, the lowest among the ten most populous cities in the country. Crime rate The following chart contains the annual crime rate per 1,000 population of the city of San Diego since 1950: Actual crimes The following chart contains the actual crimes committed in the city of San Diego every year since 1950 (does not take population growth or decline into account): Crime by category Criminal organizations As of 2014, there are 4,100 gang members in 91 gangs in the city of San Diego, according to police lieutenant Keith Lucas. In 2013, the San Diego Association of Governments (SANDAG) published a county-wide gang arrestees report on the preceding year and found that the average initiation age of gang members was 13.5 years and 61 percent of arrestees reported that they had family members who were also gang members. In the report, the law enforcement agencies in the county informed SANDAG that gangs commit about a quarter of all crimes in the county. Drug trafficking In the 1980s, San Diego held the dubious distinction of being the meth capital of the United States. In the 1960s, the Hells Angels motorcycle club was the chief distributor of meth in the state, and production across the southern border in Mexico was mostly unimpeded by law enforcement, allowing for the drug to be widely available in San Diego. In 2000, the National Drug Intelligence Center published a threat assessment on drugs in the Southern District of Ca
https://en.wikipedia.org/wiki/List%20of%20Women%27s%20National%20Basketball%20Association%20career%20steals%20leaders
The following is a list of the players who have achieved the most steals during their WNBA careers. All statistics are up to date as of the end of the 2022 WNBA season. Progressive list of steal leaders This is a progressive list of assist leaders showing how the record increased through the years. Statistics accurate as of October 1, 2022. Notes References External links WNBA Career Leaders and Records for Steals | Basketball-Reference.com - updated daily Lists of Women's National Basketball Association players Women's National Basketball Association statistics
https://en.wikipedia.org/wiki/List%20of%20Women%27s%20National%20Basketball%20Association%20career%20assists%20leaders
The following is a list of the players who have achieved the most assists during their WNBA careers. Statistics are accurate as of the end of the 2022 regular season. Progressive list of assist leaders This is a progressive list of assist leaders showing how the record increased through the years. Statistics accurate as of September 8, 2022. Notes References External links WNBA Career Leaders and Records for Assists | Basketball-Reference.com - updated daily Lists of Women's National Basketball Association players Women's National Basketball Association statistics
https://en.wikipedia.org/wiki/Ernesto%20Lupercio
Ernesto Lupercio is a Mexican mathematician. He was awarded the ICTP Ramanujan Prize in 2009, "for his outstanding contributions to algebraic topology, geometry and mathematical physics." Lupercio earned a Ph.D. from Stanford University in 1997 under the guidance of Ralph L. Cohen. He was a member of the Global Young Academy (2011-2016) and a member of the Third World Academy of Sciences. Selected publications References Mexican mathematicians Date of birth missing (living people) Living people Stanford University alumni Mathematical physicists Place of birth missing (living people) Year of birth missing (living people)
https://en.wikipedia.org/wiki/L%C3%AA%20Th%E1%BB%8B%20Thanh%20Nh%C3%A0n
Lê Thị Thanh Nhàn (born March 23, 1970) is a Vietnamese mathematician who is a professor of mathematics and vice rector for the College of Science at Thái Nguyên University. Her research concerns commutative algebra and algebraic geometry. Biography Nhàn's father was a soldier, who died when he was young, and her mother was a teacher. She was born in Thừa Thiên–Huế, and grew up in Thái Nguyên as the middle of five children in a poor family. Planning to become a teacher herself, she studied mathematics at the Thái Nguyên College of Education from 1986 to 1990, earning a bachelor's degree, and on graduating became a lecturer in mathematics at the same institution. She continued her education at the Hanoi University of Education, earning a master's degree in 1995 and then at the Institute of Mathematics, Vietnam Academy of Sciences and Technology, earning her Ph.D. in 2001, under the joint supervision of Prof. Nguyen Tu Cuong and Marcel Morales of Joseph Fourier University. She moved from the College of Education to the College of Science in 2002, and was promoted to associate professor in 2005, becoming the youngest mathematician in Vietnam with that rank. She has also been associated with the International Centre for Theoretical Physics in Italy as a junior associate member from 2002 to 2007 and as a regular associate member from 2009 to 2014. In 2009 she became vice rector. Nhàn was promoted to mathematics professor in 2015, becoming the second female mathematics professor in Vietnam (The first Vietnamese female mathematics professor in Vietnam is professor Hoàng Xuân Sính) Awards and honors In 2011, she was one of two winners of the Kovalevskaya Prize, an annual award to promote women in the sciences in Vietnam. The award is named after Russian mathematician Sofia Kovalevskaya and was established in 1985 by mathematician Neal Koblitz and his wife Ann Hibner Koblitz, based on the profits from Ann Koblitz' biography of Kovalevskaya. References External links Vietnamese-language interview MathSciNet author page 1970 births Living people 21st-century Vietnamese mathematicians 21st-century women mathematicians Algebraic geometers People from Thừa Thiên-Huế province People from Thái Nguyên province
https://en.wikipedia.org/wiki/Gideon%20Rosen
Gideon Rosen (born 1962) is an American philosopher. He is a Stuart Professor of Philosophy at Princeton University, where he specializes in metaphysics, philosophy of mathematics, and ethics. Education and career Rosen graduated from Columbia University in 1984 and obtained his Ph.D. at Princeton in 1992, under the supervision of Paul Benacerraf. He taught at the University of Michigan, Ann Arbor for several years before joining the Princeton faculty in 1993. He has served as chair of Princeton's Council of the Humanities and director of the Behrman Undergraduate Society of Fellows. Philosophical work In 1990 Rosen introduced modal fictionalism, a popular position on the ontological status of possible worlds. He is the co-author of A Subject with No Object (Oxford University Press, 1997), a contribution to the philosophy of mathematics written with Princeton colleague John P. Burgess. His recent work in metaphysics is about the concept of ground. In moral philosophy, Rosen argues for a new variety of skepticism about moral responsibility, separate from the traditional dilemma posed by the compatibilism (incompatibilism) problem. According to Rosen, there is an epistemic problem for positive judgments of responsibility: such judgments are never justified because they are necessarily under-evidenced in a certain way, due to the nature of normativity and normative ignorance. Selected articles "Modal Fictionalism," Mind 99 (1990): 327-354. "What is Constructive Empiricism?" Philosophical Studies 74 (1994): 143-178. "Modal Fictionalism Fixed," Analysis 55 (1995): 67-73. "Nominalism, Naturalism, Epistemic Relativism," Noûs 35 (2001): 69-91. "Culpability and Ignorance," Proceedings of the Aristotelian Society 103 (2002): 61–84. "Kleinbart the Oblivious and Other Tales of Ignorance and Responsibility," Journal of Philosophy 105 (2008): 591-610. "Metaphysical Dependence: Grounding and Reduction," in B. Hale & A. Hoffmann (eds.), Modality: Metaphysics, Logic, and Epistemology (Oxford University Press, 2010). "Culpability and Duress: A Case Study," Aristotelian Society Supplementary Volume 88 (2014): 69-90. References External links Interview with Gideon Rosen at New York Times Opinionator Blog 20th-century American philosophers 21st-century American philosophers Columbia College (New York) alumni Princeton University faculty Princeton University alumni 1962 births Living people Analytic philosophers Metaphysicians
https://en.wikipedia.org/wiki/Yatsunori%20Shimaya
is a Japanese footballer who plays for Renofa Yamaguchi in the J2 League, as an attacking midfielder. Club statistics Updated to 24 February 2019. References External links Profile at Tokushima Vortis Profile at Renofa Yamaguchi FC 1990 births Living people Miyazaki Sangyo-keiei University alumni Association football people from Fukuoka Prefecture Japanese men's footballers J1 League players J2 League players J3 League players Japan Football League players Verspah Oita players Renofa Yamaguchi FC players Tokushima Vortis players Sagan Tosu players Men's association football midfielders
https://en.wikipedia.org/wiki/List%20of%20Women%27s%20National%20Basketball%20Association%20career%20turnovers%20leaders
This is a list of Women's National Basketball Association players by total career regular season turnovers recorded. All statistics are up to date as of September 13, 2020. Notes External links WNBA Career Leaders and Records for Turnovers | Basketball-Reference.com - updated daily Lists of Women's National Basketball Association players Women's National Basketball Association statistics
https://en.wikipedia.org/wiki/Translation%20of%20axes
In mathematics, a translation of axes in two dimensions is a mapping from an xy-Cartesian coordinate system to an x'y'-Cartesian coordinate system in which the x' axis is parallel to the x axis and k units away, and the y' axis is parallel to the y axis and h units away. This means that the origin O' of the new coordinate system has coordinates (h, k) in the original system. The positive x' and y' directions are taken to be the same as the positive x and y directions. A point P has coordinates (x, y) with respect to the original system and coordinates (x', y') with respect to the new system, where or equivalently In the new coordinate system, the point P will appear to have been translated in the opposite direction. For example, if the xy-system is translated a distance h to the right and a distance k upward, then P will appear to have been translated a distance h to the left and a distance k downward in the x'y'-system . A translation of axes in more than two dimensions is defined similarly. A translation of axes is a rigid transformation, but not a linear map. (See Affine transformation.) Motivation Coordinate systems are essential for studying the equations of curves using the methods of analytic geometry. To use the method of coordinate geometry, the axes are placed at a convenient position with respect to the curve under consideration. For example, to study the equations of ellipses and hyperbolas, the foci are usually located on one of the axes and are situated symmetrically with respect to the origin. If the curve (hyperbola, parabola, ellipse, etc.) is not situated conveniently with respect to the axes, the coordinate system should be changed to place the curve at a convenient and familiar location and orientation. The process of making this change is called a transformation of coordinates. The solutions to many problems can be simplified by translating the coordinate axes to obtain new axes parallel to the original ones. Translation of conic sections Through a change of coordinates, the equation of a conic section can be put into a standard form, which is usually easier to work with. For the most general equation of the second degree, which takes the form it is always possible to perform a rotation of axes in such a way that in the new system the equation takes the form that is, eliminating the xy term. Next, a translation of axes can reduce an equation of the form () to an equation of the same form but with new variables (x', y') as coordinates, and with D and E both equal to zero (with certain exceptions—for example, parabolas). The principal tool in this process is "completing the square." In the examples that follow, it is assumed that a rotation of axes has already been performed. Example 1 Given the equation by using a translation of axes, determine whether the locus of the equation is a parabola, ellipse, or hyperbola. Determine foci (or focus), vertices (or vertex), and eccentricity. Solution: To compl
https://en.wikipedia.org/wiki/Abdias%20Treu
Abdias Treu (sometimes spelled Trew) (29 July 1597 – 12 April 1669) was a German mathematician and academic. He was the professor of mathematics and physical science at the University of Altdorf from 1636-1669. He is best known for his contributions to the field of astronomy. He also contributed writings on the mathematical nature of music theory. He is the grandfather of physician and botanist Christoph Jacob Treu. References 1597 births 1669 deaths 17th-century German mathematicians
https://en.wikipedia.org/wiki/Proof%20School
Proof School is a secondary school in San Francisco that offers a mathematics-focused liberal arts education. Currently, 113 students in grades 6–12 are enrolled in Proof School for the academic year (2023-2024). The school was co-founded by Dennis Leary, Ian Brown, and Paul Zeitz, the chair of mathematics at University of San Francisco. The school opened in the fall of 2015 with 45 students in grades 6–10. The curriculum is inspired by math circles, which emphasizes communication and working together to solve math problems. Academics Proof School is a full-curriculum day school that emphasizes communication, collaboration, and problem-solving. The school is accredited by Western Association of Schools and Colleges. The school year is divided into 5 blocks, each of which consists of 6 normal academic weeks and a build week. Each student has 5 courses: 4 morning courses that vary across grades, and a math class. The morning courses meet twice a week for 80 minutes per class. The math courses meet for two hours and ten minutes every day in the afternoon. The (non-post-calculus) math classes focus on a different subject each block: Block 1 varies depending on grade, Block 2 is Algebra, Block 3 is Geometry, Block 4 is Algebra and Pre-Calculus, and Block 5 is Number Theory. Teams and clubs Proof School currently has a number of internal clubs, as well as a Zero Robotics team called Proof Robotics. The team qualified for the competition finals and is the leading member of the alliance Hit or Miss with the following teams: Crab Nebula from Liveo Cecioni in Livorno, Italy and Rock Rovers from Council Rock High School South in Holland, PA, USA. Hit or Miss placed 2nd place internationally and performed one of the first satellite hookings aboard the ISS. References Private schools in California Schools in San Francisco Mathematics education in the United States 2015 establishments in California
https://en.wikipedia.org/wiki/ERCIM%20Cor%20Baayen%20Award
The Cor Baayen Award is an annual award given to a promising young researcher in computer science and applied mathematics. In 1995, the award was created to honor the first ERCIM (European Research Consortium for Informatics and Mathematics) president. As a young researcher award, nominees must have obtained their PhD in the three years before the yearly nomination deadline. A researcher can be nominated for the award only once. The award is presented as a check for 5000 Euro and a certificate. The awardee is then invited to ERCIM meetings the following autumn. An article is published in ERCIM news with the name of the winner, and all nominees of the year. See also List of computer science awards List of mathematics awards References Computer science awards Mathematics awards European awards Awards established in 1995
https://en.wikipedia.org/wiki/Toda%E2%80%93Smith%20complex
In mathematics, Toda–Smith complexes are spectra characterized by having a particularly simple BP-homology, and are useful objects in stable homotopy theory. Toda–Smith complexes provide examples of periodic self maps. These self maps were originally exploited in order to construct infinite families of elements in the homotopy groups of spheres. Their existence pointed the way towards the nilpotence and periodicity theorems. Mathematical context The story begins with the degree map on (as a circle in the complex plane): The degree map is well defined for in general, where . If we apply the infinite suspension functor to this map, and we take the cofiber of the resulting map: We find that has the remarkable property of coming from a Moore space (i.e., a designer (co)homology space: , and is trivial for all ). It is also of note that the periodic maps, , , and , come from degree maps between the Toda–Smith complexes, , , and respectively. Formal definition The th Toda–Smith complex, where , is a finite spectrum which satisfies the property that its BP-homology, , is isomorphic to . That is, Toda–Smith complexes are completely characterized by their -local properties, and are defined as any object satisfying one of the following equations: It may help the reader to recall that , = . Examples of Toda–Smith complexes the sphere spectrum, , which is . the mod p Moore spectrum, , which is References Homotopy theory Homology theory
https://en.wikipedia.org/wiki/Shi%20Yuguang
Shi Yuguang (; born 1969, Yinxian, Zhejiang) is a Chinese mathematician at Peking University. His areas of research are geometric analysis and differential geometry. He was awarded the ICTP Ramanujan Prize in 2010, for "outstanding contributions to the geometry of complete (noncompact) Riemannian manifolds, specifically the positivity of quasi-local mass and rigidity of asymptotically hyperbolic manifolds." He earned his Ph.D. from the Chinese Academy of Sciences in 1996 under the supervision of Ding Weiyue. Technical contributions Shi is well-known for his foundational work with Luen-Fai Tam on compact and smooth Riemannian manifolds-with-boundary whose scalar curvature is nonnegative and whose boundary is mean-convex. In particular, if the manifold has a spin structure, and if each connected component of the boundary can be isometrically embedded as a strictly convex hypersurface in Euclidean space, then the average value of the mean curvature of each boundary component is less than or equal to the average value of the mean curvature of the corresponding hypersurface in Euclidean space. This is particularly simple in three dimensions, where every manifold has a spin structure and a result of Louis Nirenberg shows that any positively-curved Riemannian metric on the two-dimensional sphere can be isometrically embedded in three-dimensional Euclidean space in a geometrically unique way. Hence Shi and Tam's result gives a striking sense in which, given a compact and smooth three-dimensional Riemannian manifold-with-boundary of nonnegative scalar curvature, whose boundary components have positive intrinsic curvature and positive mean curvature, the extrinsic geometry of the boundary components are controlled by their intrinsic geometry. More precisely, the extrinsic geometry is controlled by the extrinsic geometry of the isometric embedding uniquely determined by the intrinsic geometry. Shi and Tam's proof adopts a method, due to Robert Bartnik, of using parabolic partial differential equations to construct noncompact Riemannian manifolds-with-boundary of nonnegative scalar curvature and prescribed boundary behavior. By combining Bartnik's construction with the given compact manifold-with-boundary, one obtains a complete Riemannian manifold which is non-differentiable along a closed and smooth hypersurface. By using Bartnik's method to relate the geometry near infinity to the geometry of the hypersurface, and by proving a positive energy theorem in which certain singularities are allowed, Shi and Tam's result follows. From the perspective of research literature in general relativity, Shi and Tam's result is notable in proving, in certain contexts, the nonnegativity of the Brown-York quasilocal energy of J. David Brown and James W. York. The ideas of Shi−Tam and Brown−York have been further developed by Mu-Tao Wang and Shing-Tung Yau, among others. Major publication Yuguang Shi and Luen-Fai Tam. Positive mass theorem and the boundary behavior
https://en.wikipedia.org/wiki/1965%E2%80%9366%20Galatasaray%20S.K.%20season
The 1965–66 season was Galatasaray's 62nd in existence and the 8th 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) 1/4 final 1/2 final Final European Cup Winners' Cup First round Friendly Matches TSYD 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 1965–66 season 1960s in Istanbul
https://en.wikipedia.org/wiki/MAGIC%20criteria
The MAGIC criteria are a set of guidelines put forth by Robert Abelson in his book Statistics as Principled Argument. In this book he posits that the goal of statistical analysis should be to make compelling claims about the world and he presents the MAGIC criteria as a way to do that. What are the MAGIC criteria? MAGIC is a backronym for: Magnitude – How big is the effect? Large effects are more compelling than small ones. Articulation – How specific is it? Precise statements are more compelling than imprecise ones. Generality – How generally does it apply? More general effects are more compelling than less general ones. Claims that would interest a more general audience are more compelling. Interestingness – interesting effects are those that "have the potential, through empirical analysis, to change what people believe about an important issue". More interesting effects are more compelling than less interesting ones. In addition, more surprising effects are more compelling than ones that merely confirm what is already known. Credibility – Credible claims are more compelling than incredible ones. The researcher must show that the claims made are credible. Results that contradict previously established ones are less credible. Reviews and applications of the MAGIC criteria Song Qian noted that the MAGIC criteria could be of use to ecologists. Claudia Stanny discussed them in a course on psychology. Anne Boomsma noted that they are useful when presenting results of complex statistical methods such as structural equation modelling. See also References Statistical theory
https://en.wikipedia.org/wiki/List%20of%20AEK%20Athens%20F.C.%20records%20and%20statistics
AEK Athens Football Club (), also known simply as AEK, AEK Athens (in European competitions), or with their full name Athlitiki Enosis Konstantinoupoleos (, Athletic Union of Constantinople), are a Greek association football club based in Nea Filadelfeia suburb of Athens. The club has amassed various records since their founding. Regionally, domestically and continentally, the club has set several records in winning various official and unofficial competitions. Established in Athens in 1924 by Greek refugees from Constantinople in the wake of the Greco-Turkish War, A.E.K. are one of the most successful clubs in Greek football, winning 34 national titles (including 13 Championships, 16 Cups, 1 League Cup and 3 Super Cups). The team has appeared several times in European (UEFA Champions League and UEFA Europa League) competitions. AEK are a member of the European Club Association. The club was relegated from the Greek Super League after the 2012–13 season for the first time in its history. In an effort to discharge the immense debt created by years of mismanagement, its directors chose for the team to compete in the third tier Football League 2 for the 2013–14 season, thus turning the club into an amateur club. After 2 seasons on the lower tiers the club completed its comeback to the first division. Honours Domestic competitions Leagues: Super League Winners (13): 1938–39, 1939–40, 1962–63, 1967–68, 1970–71, 1977–78, 1978–79, 1988–89, 1991–92, 1992–93, 1993–94, 2017–18, 2022–23 Runners-up (19): 1945–46, 1957–58, 1958–59, 1959–60, 1964–65, 1966–67, 1969–70, 1974–75, 1975–76, 1980–81, 1987–88, 1987–88, 1995–96, 1996–97, 1998–99, 2001–02, 2005–06, 2006–07, 2016–17 Super League 2 (Second Division) Winners (1): 2014–15 Gamma Ethniki (Third Division) Winners (1): 2013–14 (Group 6) Cups: Greek Cup Winners (16): 1931–32, 1938–39, 1948–49, 1949–50, 1955–56, 1963–64, 1965–66, 1977–78, 1982–83, 1995–96, 1996–97, 1999–2000, 2001–02, 2010–11, 2015–16, 2022–23 Runners-up (11): 1947–48, 1952–53, 1978–79, 1993–94, 1994–95, 2005–06, 2001–02, 2015–16, 2017–18, 2018–19, 2019–20 Greek Super Cup Winners (2): 1971 (Unofficial), 1989, 1996 Greek League Cup Winners (1) (record): 1990 Doubles Winners (3): 1938–39, 1977–78, 2022–23 European competitions UEFA Cup Semi-finals (1): 1976–77 European Cup Quarter-finals (1): 1968–69 UEFA Cup Winners' Cup Quarter-finals (2): 1996–97, 1997–98 Balkans Cup Runners-up (1): 1966–67 Regional Athens FCA Championship Winners (5): 1940, 1943, 1946, 1947, 1950 Pre-Mediterranean Cup Winners (1) (record): 1991 Tournaments Sydney Festival of Football Winners (1) (record): 2010 Nova Supersports Cup Winners (1) (joint record): 1999 Runners-up (2): 2000, 2001 Source: aekfc.gr Player records Players in bold are currently playing for AEK Athens. Players in italics are still active not playing for AEK Athens. Most appearances All competitions {| class="wikitable sortable" style=text-align:center; |- !rowspan=2| !rowspan=2 width=2
https://en.wikipedia.org/wiki/Thomas%20Robertson%20%28Australian%20politician%29
Thomas Robertson (1830 – 1 October 1891) was an English-born Australian politician. He was born at Windsor in Berkshire to Thomas Robertson, who taught mathematics at Eton College, and Isabella Stevenson. He migrated to New South Wales, becoming a squatter in the Clarence River area. He subsequently qualified as a solicitor and in 1863 settled at Deniliquin, where he was a long time alderman of the Municipality of Deniliquin and twice elected Mayor of Deniliquin. On 26 February 1857 he married Jane Susannah Cunningham, with whom he had twelve children. In 1873 he was elected to the New South Wales Legislative Assembly for Hume, but he was defeated in 1874. Robertson died at Hay in 1891 (aged 61). References   1830 births 1891 deaths Members of the New South Wales Legislative Assembly 19th-century Australian politicians
https://en.wikipedia.org/wiki/Arnaldo%20Garcia
Arnaldo Leite Pinto Garcia (born 1950) is a Brazilian mathematician working on algebraic geometry and coding theory. He is a titular researcher at the IMPA. Garcia is a titular member of the Brazilian Academy of Sciences and has received Brazil's National Order of Scientific Merit. He obtained his Ph.D. at the IMPA in 1980 under the guidance of Karl-Otto Stöhr. Selected writings A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vladut bound On the asymptotic behaviour of some towers of function fields over finite fields On subfields of the Hermitian function field On maximal curves References Brazilian mathematicians Instituto Nacional de Matemática Pura e Aplicada alumni Instituto Nacional de Matemática Pura e Aplicada researchers Members of the Brazilian Academy of Sciences Algebraic geometers 1950 births Living people
https://en.wikipedia.org/wiki/Karl-Otto%20St%C3%B6hr
Karl-Otto Stöhr (born 9 May 1942) is a German mathematician working on algebraic geometry. He is a titular researcher at the IMPA. Stöhr is a titular member of the Brazilian Academy of Sciences and has received Brazil's National Order of Scientific Merit. He is also a member of the European Academy of Sciences. He obtained his Ph.D. at the University of Bonn in 1967 under the guidance of Wolfgang Krull and Jacques Tits. Arnaldo Garcia was a student of his. Selected papers With J. F. Voloch: "Weierstrass points and curves over finite fields" (1986) "On the poles of regular differentials of singular curves" (1993) References 20th-century German mathematicians 21st-century German mathematicians University of Bonn alumni Instituto Nacional de Matemática Pura e Aplicada researchers Members of the Brazilian Academy of Sciences Algebraic geometers 1942 births Living people Scientists from Koblenz
https://en.wikipedia.org/wiki/Carlo%20Casap
Carlo Casap (born 29 December 1998) is a Romanian footballer who plays as a midfielder for Liga I club Botoșani. Career statistics Club Honours Club Viitorul Constanța Liga I: 2016–17 Cupa României: 2018–19 Supercupa României: 2019 Farul Constanța Liga I: 2022–23 References External links 1998 births Living people Footballers from Timișoara Romanian men's footballers Romania men's youth international footballers Romania men's under-21 international footballers Men's association football midfielders Liga I players FC Viitorul Constanța players FCV Farul Constanța players Liga II players CS Concordia Chiajna players FC Botoșani players
https://en.wikipedia.org/wiki/Kathryn%20E.%20Hare
Kathryn Elizabeth Hare (born 1959) is a Canadian mathematician specializing in harmonic analysis and fractal geometry. She was the Chair of the Pure Mathematics Department at the University of Waterloo from 2014 to 2018. She retired from the University of Waterloo in 2021. Education and career Hare did her undergraduate studies at the University of Waterloo, graduating in 1981. She earned a Ph.D. from the University of British Columbia in 1986. Her dissertation, under the supervision of John J. F. Fournier, was Thin Sets and Strict-Two-Associatedness, and concerned group representation theory. She was an assistant professor at the University of Alberta from 1986 to 1988, before she moved back to Waterloo. Awards and recognition In 2011, the Chalmers University of Technology awarded her an Honorary Doctorate for her "prominent research, both in extent and depth, within classical and abstract harmonic analysis". In 2020 she was named as a Fellow of the Canadian Mathematical Society. Selected publications . . . References 20th-century Canadian mathematicians 21st-century Canadian mathematicians Mathematical analysts University of Waterloo alumni University of British Columbia alumni Academic staff of the University of Waterloo 1959 births Living people 20th-century women mathematicians 21st-century women mathematicians Fellows of the Canadian Mathematical Society
https://en.wikipedia.org/wiki/Dyadic%20space%20%28disambiguation%29
Dyadic space refers to any space between two objects, see: Dyadic space (mathematics) Dyadic space (cell biology)
https://en.wikipedia.org/wiki/Not%20Knot
Not Knot is a 16-minute film on the mathematics of knot theory and low-dimensional topology, centered on and titled after the concept of a knot complement. It was produced in 1991 by mathematicians at the Geometry Center at the University of Minnesota, directed by Charlie Gunn and Delle Maxwell, and distributed on videotape with a 48-page paperback booklet of supplementary material by A K Peters. Topics The video is structured into three parts. It begins by introducing knots, links, and their classification, using the trefoil knot, figure-eight knot, and Borromean rings as examples. It then describes the construction of two-dimensional surfaces such as cones and cylinders by gluing together the edges of flat sheets of paper, the internal geometry of the resulting manifolds or orbifolds, and the behavior of light rays within them. Finally, it uses a three-dimensional version of the same construction method to focus in more depth on the link complement of the Borromean rings and on the hyperbolic geometry of this complementary space, which has a high degree of symmetry and is closely related to classical uniform polyhedra. The view of this space, constructed as the limit of a process of pushing the rings out "to infinity", is immersive, rendered and lit accurately, "like flying through hyperbolic space". The supplementary material includes a complete script of the video, with black-and-white reproductions of many of its frames, accompanied by explanations at two levels, one set aimed at high school students and another at more advanced mathematics students at the late undergraduate or early graduate level. Audience and reception Reviewer James M. Kister writes that making these topics understandable to non-mathematicians in this format, as this video attempts, is "virtually impossible", and in this case "only partially successful". Kister writes of pre-high-school students entranced by the visual images in the video but with no understanding of their meaning, and of academics in non-mathematical disciplines who were equally bewildered. He suggests that the true audience for this video is the mathematics students for whom the more detailed supplementary material was intended. On the other hand, while agreeing that the material is fully understandable only with significant mathematical background, L. P. Neuwirth writes that "value may surely be found for elementary school students". Knot theorist Mark Kidwell suggests that, even if the details are not understood, the video could be helpful in dispelling the popular misconception that knot theory is not mathematics. And in a review published over ten years after the initial release of this video, Charles Ashbacher writes that the visual effects in this video "are still capable of stunning you", that the mathematics they depict can be clearly followed, and that it should be viewed by "all mathematics students". References Films about mathematics 1991 short films 1991 films
https://en.wikipedia.org/wiki/Jun%20O%27Hara
Jun O'Hara, legally named , is a Japanese mathematician who works on the fields of low-dimensional topology and knot theory. He is a professor at Chiba University. He is famous for his discovery of Möbius energy, a type of knot energy. He was born on 29 March 1963 in Hiroshima, Japan. He was a PhD student of Takashi Tsuboi at the University of Tokyo. Selected publications Energy of knots and conformal geometry. World Scientific, Singapore, (2003). "Energy of a knot", Topology v. 30 n. 2, pp. 241–247 (1991) See also Knot energy References 1963 births People from Hiroshima University of Tokyo alumni Topologists Living people 20th-century Japanese mathematicians 21st-century Japanese mathematicians Academic staff of Tokyo Metropolitan University
https://en.wikipedia.org/wiki/JASP
JASP (Jeffreys’s Amazing Statistics Program) is a free and open-source program for statistical analysis supported by the University of Amsterdam. It is designed to be easy to use, and familiar to users of SPSS. It offers standard analysis procedures in both their classical and Bayesian form. JASP generally produces APA style results tables and plots to ease publication. It promotes open science via integration with the Open Science Framework and reproducibility by integrating the analysis settings into the results. The development of JASP is financially supported by several universities and research funds. As the JASP GUI is developed in C++ using Qt framework, some of the team left to make a notable fork which is Jamovi which has its GUI developed in JavaScript and HTML5. Analyses JASP offers frequentist inference and Bayesian inference on the same statistical models. Frequentist inference uses p-values and confidence intervals to control error rates in the limit of infinite perfect replications. Bayesian inference uses credible intervals and Bayes factors to estimate credible parameter values and model evidence given the available data and prior knowledge. The following analyses are available in JASP: Other features Descriptive statistics. Assumption checks for all analyses, including Levene's test, the Shapiro–Wilk test, and Q–Q plot. Imports SPSS files and comma-separated files. Open Science Framework integration. Data filtering: Use either R code or a drag-and-drop GUI to select cases of interest. Create columns: Use either R code or a drag-and-drop GUI to create new variables from existing ones. Copy tables in LaTeX format. Plot editing, Raincloud plots. PDF export of results. Importing SQL databases (since v0.16.4) Modules JASP features seven common modules that are enabled by default: Descriptives: Explore the data with tables and plots. T-Tests: Evaluate the difference between two means. ANOVA: Evaluate the difference between multiple means. Mixed Models: Evaluate the difference between multiple means with random effects. Regression: Evaluate the association between variables. Frequencies: Analyses for count data. Factor: Explore hidden structure in the data. JASP also features multiple additional modules that can be activated via the module menu: Acceptance Sampling: Methods for acceptance sampling and a quality control setting. Audit: Statistical methods for auditing. The audit module offers planning, selection and evaluation of statistical audit samples, methods for data auditing (e.g., Benford’s law) and algorithm auditing (e.g., model fairness). Bain: Bayesian informative hypotheses evaluation for t-tests, ANOVA, ANCOVA, linear regression and structural equation modeling. BSTS: Bayesian take on linear Gaussian state space models suitable for time series analysis. Circular Statistics: Basic methods for directional data. Cochrane meta-analyses: Analyse Cochrane medical datasets. Distributions: Visualise p
https://en.wikipedia.org/wiki/Davie%20Maher
David Maher (30 November 1880 – 21 February 1936) was an English professional football inside and outside right who played in the Football League for Preston North End. Career statistics Honours Preston North End Football League Second Division: 1903–04 References English men's footballers Brentford F.C. players English Football League players Men's association football outside forwards Men's association football inside forwards Millwall F.C. players Preston North End F.C. players Carlisle United F.C. players Southern Football League players 1880 births Footballers from Poplar, London 1936 deaths
https://en.wikipedia.org/wiki/Vahid%20Najafi
Vahid Najafi (born 16 February 1994) is an Iranian footballer who played as a forward for Mashhad in the Iran Pro League. Club career statistics Last Update: 31 July 2015 References Sepahan S.C. footballers 1994 births Living people Iranian men's footballers Men's association football forwards Footballers from Tehran
https://en.wikipedia.org/wiki/Jimmy%20Tomlinson
James Tomlinson (2 February 1881 – 21 February 1963) was a professional footballer who made one appearance as a centre half in the Football League for Blackburn Rovers. Career statistics References 1881 births 1963 deaths English men's footballers Footballers from Darwen English Football League players Blackburn Rovers F.C. players Nelson F.C. players Darwen F.C. players Brentford F.C. players Norwich City F.C. players Bolton Wanderers F.C. players Reading F.C. players Southern Football League players Chorley F.C. players Men's association football wing halves
https://en.wikipedia.org/wiki/Wies%C5%82awa%20Nizio%C5%82
Wiesława Krystyna Nizioł (pronounced ) is a Polish mathematician, director of research at CNRS, based at Institut mathématique de Jussieu. Her research concerns arithmetic geometry, and in particular p-adic Hodge theory, Galois representations, and p-adic cohomology. Education and career Nizioł earned an M.S. in computer science from the University of Warsaw in 1984. She was employed as an assistant professor at the University of Warsaw from 1984 to 1988. After beginning doctoral studies in computer science at Stanford University, she switched to mathematics, and received her Ph.D. in 1991 from Princeton University under the supervision of Gerd Faltings. Thereafter she held temporary positions at Harvard University, the University of Chicago and University of Minnesota before joining the University of Utah in 1996. More recently, she has spent time at the Institute for Advanced Study in 2010 as a visitor and in 2017 as a member as well as at the Mathematical Sciences Research Institute in 2014 and 2018 as part of programs on perfectoid spaces and the homological conjectures, respectively. She moved to France in 2012 as a directrice de recherches at CNRS, first in École normale supérieure de Lyon and, since 2020 at Institut mathématique de Jussieu in Paris. Mathematical work She studies the cohomology of -adic varieties. Her contributions include: Comparison theorems, via motivic methods, between de Rham and -adic étale cohomologies of algebraic varieties over -adic fields (proofs of the conjectures and of Fontaine). A definition for -adic algebraic varieties, of a -adic analog (the syntomic cohomology) of the classical Deligne cohomology for algebraic varieties over the real numbers. A comparison theorem, via syntomic methods, for -adic analytic varieties, and the computation of the -adic étale cohomology of various -adic symmetric spaces with applications to the -adic local Langlands correspondence. Recognition She was an Invited Speaker at the 2006 International Congress of Mathematicians, with a talk entitled "p-adic motivic cohomology in arithmetic". She is a member of Academia Europaea since 2021. References External links Year of birth missing (living people) Living people Polish women mathematicians 20th-century Polish mathematicians 21st-century Polish mathematicians University of Warsaw alumni Princeton University alumni University of Utah faculty Institute for Advanced Study visiting scholars Arithmetic geometers Research directors of the French National Centre for Scientific Research
https://en.wikipedia.org/wiki/2005%E2%80%9306%20VfL%20Bochum%20season
The 2005–06 VfL Bochum season was the 68th season in club history. Review and events Matches Legend 2. Bundesliga DFB-Pokal Squad Squad and statistics Squad, appearances and goals scored Transfers Summer In: Out: Winter In: Out: VfL Bochum II Sources External links 2005–06 VfL Bochum season at Weltfussball.de 2005–06 VfL Bochum season at kicker.de 2005–06 VfL Bochum season at Fussballdaten.de Bochum VfL Bochum seasons
https://en.wikipedia.org/wiki/Tommy%20Spicer%20%28footballer%29
Thomas Ashby Spicer (June 1876 – January 1958) was an English professional footballer who appeared in the Football League for Woolwich Arsenal as a goalkeeper. Career statistics References 1876 births 1958 deaths Footballers from Brighton English men's footballers Men's association football goalkeepers Sheppey United F.C. players Brighton United F.C. players Arsenal F.C. players Brentford F.C. players Leyton F.C. players Southern Football League players English Football League players Brentford F.C. non-playing staff
https://en.wikipedia.org/wiki/Bill%20Regan%20%28footballer%29
William Regan (1873–1934) was an English professional footballer who played in as a wing half in the Football League for The Wednesday. Career statistics References English men's footballers Brentford F.C. players English Football League players Men's association football wing halves Sheffield Wednesday F.C. players Fairfield Athletic F.C. players Southern Football League players Millwall F.C. players 1873 births 1934 deaths Footballers from Leeds
https://en.wikipedia.org/wiki/William%20Halley
William Halley was a Scottish professional football right back who played in the Football League for Bolton Wanderers. Career statistics References Year of death missing Men's association football fullbacks Bolton Wanderers F.C. players Bedminster F.C. players Roman Glass St George F.C. players Millwall F.C. players Brentford F.C. players English Football League players Southern Football League players Western Football League players Place of death missing Sportspeople from Clackmannanshire 1874 births Scottish men's footballers
https://en.wikipedia.org/wiki/R.%20Dennis%20Cook
Ralph Dennis Cook (born June 20, 1944) is an American statistician, mostly known for Cook's distance and the Cook–Weisberg test. Cook is a Professor of Statistics at the University of Minnesota. After graduating from Northern Montana College (1967), Cook earned his master's (1969) and Ph.D. (1971) degrees from Kansas State University. His dissertation, The Dynamics of Finite Populations: The Effects of Variable Selection Intensity and Population Size on the Expected Time to Fixation and the Ultimate Probability of Fixation of an Allele, was supervised by Raj Nassar. He is the author of several books, including Introduction to Envelopes: Dimension Reduction for Efficient Estimation in Multivariate Statistics and Residuals and Influence in Regression. In 1982 he was elected as a Fellow of the American Statistical Association. References External links Website at University of Minnesota 1944 births Living people American statisticians Montana State University–Northern alumni Kansas State University alumni University of Minnesota faculty Place of birth missing (living people) Fellows of the American Statistical Association
https://en.wikipedia.org/wiki/Sammy%20Brett
Samuel Stephen Brett (25 December 1879 – 1939) was a Welsh professional footballer who played as a forward in the Football League for West Bromwich Albion. Career statistics References 1879 births Welsh men's footballers Sportspeople from St Asaph Footballers from Denbighshire Brentford F.C. players English Football League players Southport F.C. players 1939 deaths West Bromwich Albion F.C. players Wellingborough Town F.C. players Southern Football League players Midland Football League players Men's association football inside forwards
https://en.wikipedia.org/wiki/2014%E2%80%9315%20SKNFA%20Super%20League
Statistics from the 2014–15 season. Table Regular phase Final four External links 1 Saint Kitts and Nevis SKNFA Super League seasons
https://en.wikipedia.org/wiki/Trachette%20Jackson
Trachette Levon Jackson (born July 24, 1972) is an American mathematician who is a professor of mathematics at the University of Michigan and is known for work in mathematical oncology. She uses many different approaches, including continuous and discrete mathematical models, numerical simulations, and experiments to study tumor growth and treatment. Specifically, her lab is interested in "molecular pathways associated with intratumoral angiogenesis," "cell-tissue interactions associated with tumor-induced angiogenesis," and "tumor heterogeneity and cancer stem cells." Education and career Jackson's parents were in the military and traveled frequently through her childhood; as a teenager, she lived in Mesa, Arizona. There, in a summer calculus course, her talent for mathematics brought her to the attention of Arizona State University mathematics professor Joaquín Bustoz, Jr. She went on to undergraduate studies at ASU, originally intending to study engineering, but she was steered to mathematics by Bustoz. From there, her interest in pure math developed into an interest in mathematical biology when she attended a talk by her future PhD advisor, James D. Murray, on the mathematics of pattern formation and "how the leopard got its spots." She graduated in 1994, and she earned her MS and PhD at the University of Washington in 1996 and 1998. After postdoctoral research at the University of Minnesota, Environmental Protection Agency, and Duke University, she joined the University of Michigan faculty in 2000, and she was promoted to full professor in 2008. Awards and recognition She was awarded a Sloan Research Fellowship in 2003, becoming the second African-American woman after Kathleen Adebola Okikiolu to become a Sloan Fellow in mathematics. She won a James S. McDonnell 21st Century Scientist Grant in 2005, and won the Blackwell-Tapia Prize in 2010. In 2017, she was selected as a fellow of the Association for Women in Mathematics in the inaugural class. Jackson's work also earned her recognition by Mathematically Gifted & Black as a Black History Month 2017 Honoree. She was named a SIAM Fellow in the 2021 class of fellows, "for innovative contributions to mathematical modeling in cancer biology and for the advancement of underrepresented minorities in science". In 2021, she was awarded the University Diversity and Social Transformation Professorship at the University of Michigan, in recognition of her "extraordinary commitment to increasing opportunities for girls, women, and underrepresented minority students in STEM, through her teaching and leadership." References External links Meet a mathematician! Video Interview 21st-century American mathematicians Theoretical biologists Arizona State University alumni University of Washington alumni University of Michigan faculty American women mathematicians African-American mathematicians Living people 1972 births Sloan Research Fellows Fellows of the Association for Women in Mathematics Fellows
https://en.wikipedia.org/wiki/Fred%20Connelly
Frederick Henry Connelly (3 January 1882 – 1950) was an English professional footballer who played in the Football League for Bristol City as an inside left. Career statistics References English men's footballers Brentford F.C. players English Football League players Men's association football inside forwards Bristol City F.C. players Southern Football League players 1882 births Footballers from West Ham 1950 deaths Rotherham County F.C. players Mexborough F.C. players
https://en.wikipedia.org/wiki/Ernest%20Ramsden
Ernest Ramsden (1882–1951) was an English professional football left back who played in the Football League for Grimsby Town. Career statistics References 1882 births 1951 deaths English men's footballers Brentford F.C. players English Football League players Men's association football fullbacks Denaby United F.C. players Southern Football League players Grimsby Town F.C. players Mexborough Athletic F.C. players Footballers from Sheffield Midland Football League players
https://en.wikipedia.org/wiki/Eva%20Kallin
Eva Marianne Kallin Pohlmann is a professor emerita of mathematics at Brown University. Her research concerns function algebras, polynomial convexity, and Tarski's axioms for Euclidean geometry. Kallin attended the University of California, Berkeley as an undergraduate, and graduated with an A.B. in mathematics in 1953 and an M.S. in 1956. In 1956–1957, working as a student of Alfred Tarski, Kallin helped simplify Tarski's axioms for the first-order theory of Euclidean geometry, by showing that several of the axioms originally presented by Tarski did not need to be stated as axioms, but could instead be proved as theorems from the other axioms. Kallin earned her Ph.D. in 1963 from Berkeley under the supervision of John L. Kelley. Her thesis, only 14 pages long, concerned function algebras, and a summary of its results was published in the Proceedings of the National Academy of Sciences. One of its results, that not every topological algebra is localizable, has become a "well-known counterexample". In the study of complex vector spaces, a set S is said to be polynomially convex if, for every point x outside of S, there exists a polynomial whose complex absolute value at x is greater than at any point of S. This condition generalizes the ordinary notion of a convex set, which can be separated from any point outside the set by a linear function. However, polynomially convex sets do not behave as nicely as convex sets. Kallin studied conditions under which unions of convex balls are polynomially convex, and found an example of three disjoint cubical cylinders whose union is not polynomially convex. As part of her work on polynomial convexity, she proved a result now known as Kallin's lemma, giving conditions under which the union of two polynomially convex sets remains itself polynomially convex. References Year of birth missing (living people) Living people 20th-century American mathematicians American women mathematicians Brown University faculty Place of birth missing (living people) University of California, Berkeley alumni 20th-century women mathematicians 20th-century American women 21st-century American women
https://en.wikipedia.org/wiki/Strength%20in%20Democracy%20candidates%20in%20the%202015%20Canadian%20federal%20election
This is a list of nominated candidates for the Strength in Democracy party in the 2015 Canadian federal election. Candidate statistics Newfoundland and Labrador - 1 seat Ontario - 1 seat Quebec - 14 seats See also Results of the Canadian federal election, 2015 Results by riding for the Canadian federal election, 2015 References External links Elections Canada – List of Confirmed Candidates for the 41st General Election Candidates in the 2015 Canadian federal election
https://en.wikipedia.org/wiki/Tamar%20Ziegler
Tamar Debora Ziegler (; born 1971) is an Israeli mathematician known for her work in ergodic theory, combinatorics and number theory. She holds the Henry and Manya Noskwith Chair of Mathematics at the Einstein Institute of Mathematics at the Hebrew University. Career Ziegler received her Ph.D. in Mathematics from the Hebrew University under the supervision of Hillel Furstenberg. Her thesis title was “Non conventional ergodic averages”. She spent five years in the US as a postdoc at the Ohio State University, the Institute for Advanced Study at Princeton, and the University of Michigan. She was a faculty member at the Technion during the years 2007–2013, and joined the Hebrew University in the Fall of 2013 as a full professor. Ziegler serves as an editor of several journals. Among others she is an editor of the Journal of the European Mathematical Society (JEMS), an associate editor of the Annals of Mathematics, and the Editor in Chief of the Israel Journal of Mathematics. Research Ziegler’s research lies in the interface of ergodic theory with several mathematical fields including combinatorics, number theory, algebraic geometry and theoretical computer science. One of her major contributions, in joint work with Ben Green and Terence Tao (and combined with earlier work of theirs), is the resolution of the generalized Hardy–Littlewood conjecture for affine linear systems of finite complexity. Other important contributions include the generalization of the Green-Tao theorem to polynomial patterns, and the proof of the inverse conjecture for the Gowers norms in finite field geometry. Recognition Ziegler won the Erdős Prize of the Israel Mathematical Union in 2011, and the Bruno memorial award in 2015. She was the European Mathematical Society lecturer of the year in 2013, and an invited speaker at the 2014 International Congress of Mathematicians. She was named MSRI Simons Professor for 2016-2017. She was elected to the Academia Europaea in 2021. References Year of birth missing (living people) Living people Einstein Institute of Mathematics alumni Academic staff of Technion – Israel Institute of Technology Academic staff of the Hebrew University of Jerusalem 21st-century Israeli mathematicians University of Michigan people 21st-century women mathematicians Members of Academia Europaea Erdős Prize recipients
https://en.wikipedia.org/wiki/Tommy%20Stewart%20%28footballer%2C%20born%201881%29
Thomas Worley Stewart (April 1881 – 3 November 1955) was an English professional football full back who played in the Football League for Clapton Orient and Sunderland. Career statistics References 1881 births 1955 deaths Footballers from Sunderland English men's footballers Men's association football fullbacks Sunderland Rovers F.C. players Sunderland A.F.C. players Portsmouth F.C. players Brentford F.C. players Leyton Orient F.C. players Brighton & Hove Albion F.C. players Wingate Albion F.C. players English Football League players Southern Football League players
https://en.wikipedia.org/wiki/Jack%20Sibbald
John Patrick Sibbald (12 September 1890 – 20 August 1956) was an English professional footballer who played as a forward in the Football League for Blackpool, Southport and Walsall. Career statistics References English men's footballers Brentford F.C. players English Football League players Southern Football League players Blackpool F.C. players West Stanley F.C. players Footballers from Wallsend 1890 births Southport F.C. players Walsall F.C. players 1956 deaths Men's association football inside forwards Wallsend F.C. players
https://en.wikipedia.org/wiki/Vermeil%27s%20theorem
In differential geometry, Vermeil's theorem essentially states that the scalar curvature is the only (non-trivial) absolute invariant among those of prescribed type suitable for Albert Einstein’s theory of General Relativity. The theorem was proved by the German mathematician Hermann Vermeil in 1917. Standard version of the theorem The theorem states that the Ricci scalar is the only scalar invariant (or absolute invariant) linear in the second derivatives of the metric tensor . See also Scalar curvature Differential invariant Einstein–Hilbert action Lovelock's theorem Notes References Theorems in differential geometry Invariant theory
https://en.wikipedia.org/wiki/Hugh%20Dolby
Hugh Ryde Heath Dolby (6 March 1888 – June 1964) was an English professional footballer who made two appearances in the Football League for Chelsea as an outside right. Career statistics References 1888 births English men's footballers Sportspeople from Agra Brentford F.C. players English Football League players Men's association football outside forwards Nunhead F.C. players 1964 deaths Chelsea F.C. players Southern Football League players Europeans in India British people in colonial India Footballers from Uttar Pradesh
https://en.wikipedia.org/wiki/Herbert%20Ashford
Herbert Edwin Ashford (18 December 1896 – September 1978) was an English professional football left half who played in the Football League for Queens Park Rangers. Career statistics References 1896 births 1978 deaths English men's footballers Footballers from Fulham Men's association football wing halves Southall F.C. players Brentford F.C. players Queens Park Rangers F.C. players Notts County F.C. players Ayr United F.C. players Dartford F.C. players Guildford City F.C. players Tunbridge Wells F.C. players Southern Football League players English Football League players Scottish Football League players
https://en.wikipedia.org/wiki/Tom%20McAllister%20%28footballer%29
Thomas McAllister (7 September 1881 – 14 March 1951) was a Scottish professional football right half who played in the Football League for Leeds City and Blackburn Rovers. Career statistics References English men's footballers Scottish men's footballers Brentford F.C. players English Football League players Men's association football wing halves Castleford Town F.C. players Blackburn Rovers F.C. players Southern Football League players Leeds City F.C. players Halifax Town A.F.C. players 1881 births 1951 deaths People from Govan
https://en.wikipedia.org/wiki/Charles%20Allwright
Charles Russell Spencer Allwright (11 June 1888 – May 1966) was an English professional football outside right who played in the Football League for Bristol City. Career statistics References 1888 births English men's footballers Footballers from Brentford Brentford F.C. players English Football League players Men's association football outside forwards Bristol City F.C. players Swindon Town F.C. players Southern Football League players 1966 deaths
https://en.wikipedia.org/wiki/2014%20Barbados%20Premier%20Division
Statistics from the 2014 Barbados Premier Division: References 2014 Barb Barb football
https://en.wikipedia.org/wiki/Universality%20probability
Universality probability is an abstruse probability measure in computational complexity theory that concerns universal Turing machines. Background A Turing machine is a basic model of computation. Some Turing machines might be specific to doing particular calculations. For example, a Turing machine might take input which comprises two numbers and then produce output which is the product of their multiplication. Another Turing machine might take input which is a list of numbers and then give output which is those numbers sorted in order. A Turing machine which has the ability to simulate any other Turing machine is called universal - in other words, a Turing machine (TM) is said to be a universal Turing machine (or UTM) if, given any other TM, there is a some input (or "header") such that the first TM given that input "header" will forever after behave like the second TM. An interesting mathematical and philosophical question then arises. If a universal Turing machine is given random input (for suitable definition of random), how probable is it that it remains universal forever? Definition Given a prefix-free Turing machine, the universality probability of it is the probability that it remains universal even when every input of it (as a binary string) is prefixed by a random binary string. More formally, it is the probability measure of reals (infinite binary sequences) which have the property that every initial segment of them preserves the universality of the given Turing machine. This notion was introduced by the computer scientist Chris Wallace and was first explicitly discussed in print in an article by Dowe (and a subsequent article). However, relevant discussions also appear in an earlier article by Wallace and Dowe. Universality probabilities of prefix-free UTMs are non-zero Although the universality probability of a UTM (UTM) was originally suspected to be zero, relatively simple proofs exist that the supremum of the set of universality probabilities is equal to 1, such as a proof based on random walks and a proof in Barmpalias and Dowe (2012). Once one has one prefix-free UTM with a non-zero universality probability, it immediately follows that all prefix-free UTMs have non-zero universality probability. Further, because the supremum of the set of universality probabilities is 1 and because the set is dense in the interval [0, 1], suitable constructions of UTMs (e.g., if U is a UTM, define a UTM U2 by U2(0s) halts for all strings s, U2(1s) = U(s) for all s) gives that the set of universality probabilities is dense in the open interval (0, 1). Characterization and randomness of universality probability Universality probability was thoroughly studied and characterized by Barmpalias and Dowe in 2012. Seen as real numbers, these probabilities were completely characterized in terms of notions in computability theory and algorithmic information theory. It was shown that when the underlying machine is universal, these numbers ar
https://en.wikipedia.org/wiki/2014%E2%80%9315%20Provo%20Premier%20League
Statistics from the 2014–15 Provo Premier League: Table Mango Reef Trailblazers and Flamingo withdrew during the season. References Provo Premier League Turks
https://en.wikipedia.org/wiki/Buffalo%20Bulls%20football%20records
This article concerns the Buffalo Bulls football records. These records include game statistics from when the Bulls first joined the Mid-American Conference in 1999. Games that went overtime are included, along with records of games between the Buffalo Bulls and teams belonging to the Bowl Championship Series. Year-by-year results All-time MAC records Statistics correct as of the end of the 2017–18 college football season This table includes all MAC games from 1999, the year the Bulls joined the Mid-American Conference. Overtime Statistics correct as of the end of the 2017–18 college football season Following the 1995 season, the NCAA changed the rules to allow for overtime on games tied at the end of four quarters. Until that time, the Bulls had tied 28 times. Since then, Buffalo has participated in twelve overtimes game and have won eight of those games. Buffalo vs. the BCS Statistics correct as of the end of the 2013–14 college football season Since joining the MAC in 1999, the Bulls have played 34 regular season games and 1 postseason game against teams that are a member of one of the six conferences of the Bowl Championship Series, and have gone 2–33 all time against them (2–32 in the regular season, and 0–1 in the postseason). The Bulls have gone 0–2 against the ACC, 0–5 against the Big Ten, 0–4 against the Big 12, 2–21 against the Big East (0–1 in postseason play), and 0–3 against the SEC. The Bulls have yet to play against a team from the Pac-12 Conference. This table includes only games with teams that were members of one of the six BCS conferences at the time the game indicated was played. The conferences indicated are also reflective of the conference the team was a member of at the time the game was played. References Buffalo Bulls football
https://en.wikipedia.org/wiki/Joaqu%C3%ADn%20Bustoz%20Jr.
Joaquín Bustoz Jr. (1939–2003) was an American mathematician who worked as a professor of mathematics at Arizona State University. His mathematical research concerned functional analysis, including orthogonal polynomials and special functions, but he was primarily known as a mentor to underrepresented minorities in mathematics. Bustoz was born in Tempe, Arizona; his parents worked on the local farms and also for the Tempe Elementary School District, which eventually named the Joaquin and Ramona Bustoz Elementary School after them. He graduated from Arizona State University in 1962 with a degree in mathematics, and after two years in California working for Univac returned to ASU, where he completed a doctorate in 1967 under the supervision of Walter Tandy Scott. After teaching at the University of Cincinnati from 1969 to 1976, during which he also spent a year at the National University of Colombia as a Fulbright Scholar, he returned to ASU again as an associate professor in 1976, and was promoted to full professor in 1978. He chaired the ASU mathematics department from 1982 to 1985. In 1985, Bustoz founded the Summer Math–Science Honors program for high school students, which continues at ASU as the Joaquin Bustoz Math–Science Honors Program. Bustoz also worked on mathematics education on the Navajo Nation and the Pima reservations. For his efforts, president Bill Clinton honored him in 1996 with the Presidential Award for Excellence in Science, Mathematics and Engineering Mentoring. He was killed by a car accident on August 13, 2003. As well as the Math–Science Honors program, the Joaquin Bustoz Jr. Professorship at ASU, held by Carlos Castillo-Chavez, is named after Bustoz. References 1939 births 2003 deaths 20th-century American mathematicians Arizona State University alumni University of Cincinnati faculty Arizona State University faculty Hispanic and Latino American teachers Functional analysts 20th-century American educators
https://en.wikipedia.org/wiki/Colectica
Colectica is a suite of programs for use in documenting official statistics and specifying statistical surveys using open standards that enable researchers, archivists, and programmers to perform: questionnaire design automatic programming for computer-assisted telephone interviewing systems data entry, retrieval, and management statistical analysis microdata documentation and management applications development data warehousing metadata standards creation such as Data Documentation Initiative Colectica is currently in use by a variety of university survey research groups, longitudinal studies, National Statistics Offices, data archives, and commercial survey research organizations. History Colectica was originally funded in part by the NIH National Institute on Aging to explore automatic documentation of computer assisted surveys. This grant saw the creation of metadata extraction and flowchart creation tools for CASES, Blaise, and CSPro survey instrument source code. The grant also partially funded the creation of a questionnaire specification content area in the Data Documentation Initiative's DDI Lifecycle metadata standard. The functionality of these tools, originally named SurveyViz, is now bundled with the Colectica Designer and based on the DDI standard. The NIH funds many long-running longitudinal studies that have collected vast amounts of data, which due to their design require detailed documentation and organization. In 2011, the NIH National Institute on Aging provided further funding to add longitudinal data management functionality to Colectica to enable documenting the complex study designs. See also Data Documentation Initiative Official statistics Longitudinal study External links Colectica References C Sharp software Statistical survey software Metadata registry ISO/IEC 11179
https://en.wikipedia.org/wiki/Selden%20%28surname%29
Selden is a surname. People Anjelica Selden, an American softballer Annie Selden, expert in mathematics education Armistead I. Selden (1921–1985), American politician Brian Selden, winner of the 1998 Magic: The Gathering World Championship Catherine Selden, Gothic novelist of the early 19th century David Selden (1914–1998), American activist Dixie Selden (1868-1935) American Artist Dudley Selden, member of U.S. House of Representatives from New York George Selden (author) (1929–1989), American author George B. Selden (1846–1922), American inventor Henry R. Selden (1805–1885), New York Lt. Gov. 1857-1858 John Selden (1584–1654), English jurist and scholar Samuel L. Selden (1800-1876), Chief Judge of the New York Court of Appeals 1862 Wayne Selden Jr. (1994-present), American basketball player in the Israeli Basketball Premier League William Selden (1831-1850), U.S. Treasurer, who served under six presidents Fictional characters Lawrence Selden, a character in Edith Wharton's novel, The House of Mirth
https://en.wikipedia.org/wiki/Hubert%20Bray
Hubert Lewis Bray is a mathematician and differential geometer. He is known for having proved the Riemannian Penrose inequality. He works as professor of mathematics and physics at Duke University. Early life and education He earned his B.A. and B.S. degrees in Mathematics and Physics in 1992 from Rice University and obtained his Ph.D. in 1997 from Stanford University under the mentorship of Richard Melvin Schoen. Career He was an invited speaker at the 2002 International Congress of Mathematicians in Beijing (in the section of differential geometry). He is one of the inaugural fellows of the American Mathematical Society. Hubert was appointed professor of mathematics in 2004, an additionally professor of physics in 2019. In 2019, he was appointed director of undergraduate studies of Duke's mathematics department. Personal life Hubert is the grandson of Hubert Evelyn Bray, professor of mathematics at Rice University and the first person awarded a Ph.D. by the then Rice Institute. Hubert Bray and his brother Clark Bray share similar educations and jobs, both having studied at Rice University (undergraduate), Stanford University (graduate), and are professors of mathematics at Duke University. See also Duke University References Year of birth missing (living people) Living people 20th-century American mathematicians Duke University faculty Fellows of the American Mathematical Society Theoretical physicists Stanford University alumni Rice University alumni Mathematical physicists Geometers Mathematical analysts 21st-century American mathematicians
https://en.wikipedia.org/wiki/John%20C.%20Oxtoby
John C. Oxtoby (1910–1991) was an American mathematician. In 1936, he graduated with a Master of Science in Mathematics from Harvard University. He was professor of mathematics at Bryn Mawr College in Pennsylvania from 1939 until his retirement in 1979. Works References External links 20th-century American mathematicians 1910 births 1991 deaths Bryn Mawr College faculty Measure theorists Category theorists Topologists Harvard University alumni
https://en.wikipedia.org/wiki/Sandy%20Air
Alexander "Sandy" Air (born March 25, 1928) was a Canadian ice hockey player with the Whitby Dunlops. He won a gold medal at the 1958 World Ice Hockey Championships in Oslo, Norway. Career statistics References External links 1928 births Canada men's national ice hockey team players Canadian ice hockey right wingers Living people Ice hockey people from Toronto
https://en.wikipedia.org/wiki/List%20of%20busiest%20cruise%20ports%20by%20passengers
This is a list of busiest cruise ports by passengers. Some Asian ports are not included due to lack of information. This list is not a direct reference to true statistics due to fairly outdated information. References Busiest cruise ports by passengers Cruise seaports
https://en.wikipedia.org/wiki/John%20McConnell%20%28footballer%2C%20born%201881%29
John McConnell (14 February 1881 – 16 March 1957) was a Scottish professional footballer who played in the Football League for Grimsby Town as a full back. Career statistics References 1881 births 1957 deaths Footballers from East Ayrshire Brentford F.C. players English Football League players Men's association football fullbacks Glenbuck Cherrypickers F.C. players Kilmarnock F.C. players Nithsdale Wanderers F.C. players St Cuthbert Wanderers F.C. players Hurlford United F.C. players Southern Football League players Grimsby Town F.C. players Scottish Football League players Scotland men's junior international footballers Scottish men's footballers People from Dalmellington
https://en.wikipedia.org/wiki/Selberg%27s%20identity
In number theory, Selberg's identity is an approximate identity involving logarithms of primes named after Atle Selberg. The identity, discovered jointly by Selberg and Paul Erdős, was used in the first elementary proof for the prime number theorem. Statement There are several different but equivalent forms of Selberg's identity. One form is where the sums are over primes p and q. Explanation The strange-looking expression on the left side of Selberg's identity is (up to smaller terms) the sum where the numbers are the coefficients of the Dirichlet series This function has a pole of order 2 at s = 1 with coefficient 2, which gives the dominant term 2x log(x) in the asymptotic expansion of Another variation of the identity Selberg's identity sometimes also refers to the following divisor sum identity involving the von Mangoldt function and the Möbius function when : This variant of Selberg's identity is proved using the concept of taking derivatives of arithmetic functions defined by in Section 2.18 of Apostol's book (see also this link). References Prime numbers Mathematical identities
https://en.wikipedia.org/wiki/Tropical%20compactification
In algebraic geometry, a tropical compactification is a compactification (projective completion) of a subvariety of an algebraic torus, introduced by Jenia Tevelev. Given an algebraic torus and a connected closed subvariety of that torus, a compactification of the subvariety is defined as a closure of it in a toric variety of the original torus. The concept of a tropical compactification arises when trying to make compactifications as "nice" as possible. For a torus , a toric variety , the compactification is tropical when the map is faithfully flat and is proper. See also Tropical geometry GIT quotient Chow quotient Toroidal embedding References Compactification
https://en.wikipedia.org/wiki/Tom%20Riley%20%28footballer%29
Thomas Riley (March 1882 – November 1942) was an English professional football full back who played in the Football League for Blackburn Rovers and Aston Villa. Career statistics References External links Aston Villa career details 1882 births Footballers from Blackburn 1942 deaths English men's footballers English Football League players Men's association football fullbacks Southern Football League players Aston Villa F.C. players Blackburn Rovers F.C. players Brentford F.C. players Chorley F.C. players Southampton F.C. players
https://en.wikipedia.org/wiki/HCSA
HCSA may refer to: Hate Crime Statistics Act, A United States congress Act to provide for the acquisition and publication of data about crimes that manifest prejudice based on certain group characteristics HC Sierre-Anniviers, a Swiss ice hockey team Health Care Spending Account, a Canadian employee health benefit plan Hospital Consultants and Specialists Association, A professional body in the UK specifically designed for senior hospital doctors
https://en.wikipedia.org/wiki/Essential%20monomorphism
In mathematics, specifically category theory, an essential monomorphism is a monomorphism f in a category C such that for a morphism g in C, the morphism is a monomorphism only when g is a monomorphism. Essential monomorphisms in a category of modules are those whose image is an essential submodule of the codomain. An injective hull of an object X is an essential monomorphism from X to an injective object. References Category theory
https://en.wikipedia.org/wiki/Andrei%20Miron
George Andrei Miron (born 28 May 1994) is a Romanian professional footballer who plays as a defender for Liga I club Universitatea Cluj. Career statistics Club Statistics accurate as of match played 30 October 2023. Honours Club FCSB Cupa României: 2019–20 Supercupa României runner-up: 2020 Universitatea Cluj Cupa României runner-up: 2022–23 References External links 1994 births Living people Romanian men's footballers Men's association football defenders Romania men's under-21 international footballers Liga I players ASC Oțelul Galați players FC Botoșani players FC Steaua București players Hapoel Haifa F.C. players FC Universitatea Cluj players Israeli Premier League players Footballers from Galați Romanian expatriate men's footballers Expatriate men's footballers in Israel Romanian expatriate sportspeople in Israel
https://en.wikipedia.org/wiki/List%20of%20Women%27s%20National%20Basketball%20Association%20career%203-point%20scoring%20leaders
This is a list of Women's National Basketball Association players by total career regular season three-point field goals made. Active players are in bold. Statistics accurate as of the conclusion of the 2020 WNBA season External links WNBA Year-by-Year Leaders and Records for 3-pointers | Basketball-Reference.com Lists of Women's National Basketball Association players Women's National Basketball Association statistics
https://en.wikipedia.org/wiki/List%20of%20Women%27s%20National%20Basketball%20Association%20career%20free%20throw%20leaders
This is a list of Women's National Basketball Association players by total career regular season free throws made. Active players are in bold. Statistics accurate as of the conclusion of September 13, 2020 External links WNBA Career Leaders and Records for Free Throws | Basketball-Reference.com Lists of Women's National Basketball Association players Women's National Basketball Association statistics
https://en.wikipedia.org/wiki/Tara%20Williams%20%28basketball%29
Tara Williams (born July 23, 1974) is a former professional basketball player. Auburn statistics Source References 1974 births Living people Phoenix Mercury players Portland Fire players Auburn Tigers women's basketball players
https://en.wikipedia.org/wiki/List%20of%20ports%20in%20Denmark
This list of ports in Denmark lists major ports in Denmark by cargo volume in 2014 as defined by Statistics Denmark. Cargo refers to all transferred units including freight cargo, bulk cargo, containers, vehicles and passengers. Freight cargo includes bulk cargo and containers. References Ports Denmark
https://en.wikipedia.org/wiki/Planar%20hexacoordinate%20carbon
Planar hexacoordinate carbon in chemistry describes a molecular geometry featuring a planar arrangement of carbon with six surrounding atoms. No actual chemical compounds having this particular hexacoordinate configuration have been reported but quantum mechanical methods have demonstrated that these molecules are a possibility. Examples of molecules investigated with computational methods are the B6C dianion, the CN3Be3+ ion, the CO3Li3+ ion and the CN3Mg3+ ion. A simulated Be2C monolayer is reported to consist of quasi-planar hexacoordinate carbon atoms. On the other hand, experimental research has confirmed that the pentagonal-pyramidal hexamethylbenzene ion, C6(CH3)62+, contains a hexacoordinate carbon atom. Furthermore, a heptacoordinate carbon atom has been predicted to be involved in a stable hexagonal-pyramidal configuration of tropylium trication, (C7H7)3+. References Carbon
https://en.wikipedia.org/wiki/ASSQ%20%28Statistics%29
The ASSQ is a professional association of statisticians based in the province of Quebec, Canada. The acronym stands for Association des statisticiennes et statisticiens du Québec (the Québec Association of Statisticians, Male and Female). The association was officially created on May 12, 1995, by Letters Patents from the Québec Government. Its permanent office is located in Quebec City. The ASSQ promotes statistics and its use in public life and runs an accreditation program; it also represents the views and defends the interests of statisticians across the province. The association has 6 institutional members and approximately 150 members from government, academia and the private sector; accredited members can use the title STAT ASSQ in correspondence. The association maintains a web site (http://www.association-assq.qc.ca/) and publishes a regular newsletter entitled Convergence. It also organizes various scientific and professional activities, the most prominent of which are its annual meeting (typically held in June) and a golf tournament (usually held in September). Institutional Members Institut de la statistique du Québec Les Services Conseil Hardy SOM, Recherches & Sondages (Québec) Statistics Canada Techno5 (Montréal) Université Laval Presidents of the ASSQ The President of the ASSQ is the highest officer of the association. He or she is elected by the entire membership. In the following list, the affiliations are those that were valid when the incumbent was in office. 1995-1997: Mario Montégiani (Ministère de la Sécurité publique) 1998-1998: Sylvain Végiard (Ministère des Ressources naturelles du Québec) 1999-2000: Marc Duchesne (Viasystems) 2001-2002: Pierre Lavallée (Statistics Canada) 2003-2004: Sylvain Végiard (Institut de la statistique du Québec) 2005-2008: Christian Genest (Université Laval) 2009-2010: Martin Rioux (Geyser Statistique) 2011-2014: Nathalie Madore (Régie des rentes du Québec) 2015: Véronique Tremblay (Desjardins Assurances Générales) 2016: Jean-Roch Leclerc (Sigmu Management) 2016: Bouchra Nasri (INRS-ETE), interim 2017-: Louis-Paul Rivest (Université Laval) Publication The ASSQ publishes a newsletter called Convergence. The first 16 volumes are available in print and can also be downloaded for free from http://www.association-assq.qc.ca/autre-convergence/. More recent issues are electronic and made available to the public at large on the association's website a few months after their distribution to the membership. Below is a list of Editors of the paper version of Convergence, along with their affiliation when they took office. 1996: Julie Trépanier (Statistics Canada) 1997-1998: Marc Duchesne (Circo-Craft) 1999-2002: Daniel Hurtubise (Statistics Canada) 2003-2004: Myrto Mondor (Centre de recherche de l'Hôpital du Saint-Sacrement, Québec) 2005-2006: Mireille Guay (Health Canada) 2007-2011: Jean-François Quessy (Université du Québec à Trois-Rivières) 2012-2017 : Denis Talbot (Université Laval) 2017- :
https://en.wikipedia.org/wiki/Gilan%27s%20football%20club%20performance
The table below chronicles the achievements of Gilan's Football Club in the top division since 1970. Iranian football club statistics Sport in Gilan Province
https://en.wikipedia.org/wiki/Valter%20Schytt
Stig Valter Schytt (17 October 1919 – 30 March 1985) was a Swedish glaciologist. Biography Schytt was born at Solna in Stockholm, Sweden. He studied physics and mathematics at Stockholm University and was awarded Master of Philosophy in 1946, Licentiate in 1947 and Ph. D in 1958. He became a lector in geography at Stockholm University in 1943, glaciologist with the Swedish Antarctic Committee in 1948, research associate at Northwestern University in Evanston, Illinois in 1953 and assistant teacher in geography at Stockholm University in 1955. He became associated with the Swedish Research Council (Naturvetenskapliga forskningsrådet) in 1963, an assistant professor in 1969 and was a professor from 1970. In 1974 he was elected into the Royal Swedish Academy of Sciences. He participated in the Norwegian-British-Swedish Antarctic Expedition polar expedition to the Antarctic 1949–52. He also participated in important expeditions to Canada in 1954, to Greenland in 1954, to Spitsbergen in 1956, 1957, 1958 and Deception Island in 1977. Schytt is mainly associated with the Ymer-80 expedition carried out by the icebreaker Ymer during the summer of 1980. Schytt initiated the glacier mass balance studies at Storglaciären in the Tarfala Valley. Started in 1945/46, it is the longest continuous study of this type in the world. He was promoting the Tarfala research station since its start. He died at the research station during a winter visit in March 1985. Awards and Recognitions For his outstanding work on the Ymer-80 Expedition, Valter Schytt was awarded the Vega Medal, the highest award of the Swedish Society for Anthropology and Geography, in 1981. Also in 1981, Valter was awarded the Patron's Medal from the Royal Geographical Society. Schytt Glacier in Antarctica was named in honour of Stig Valter Schytt. References Related reading Valter Schytt, Kurt Boström & Christian Hjort (1981) Geoscience during the Ymer-80 expedition to the Arctic (Geologiska Föreningen i Stockholm Förhandlingar. Volume 103, Issue 1) Swedish geographers 1919 births 1985 deaths Academic staff of Stockholm University Swedish glaciologists Members of the Royal Swedish Academy of Sciences 20th-century geographers
https://en.wikipedia.org/wiki/2-functor
In mathematics, specifically, in category theory, a 2-functor is a morphism between 2-categories. They may be defined formally using enrichment by saying that a 2-category is exactly a Cat-enriched category and a 2-functor is a Cat-functor. Explicitly, if C and D are 2-categories then a 2-functor consists of a function , and for each pair of objects , a functor such that each strictly preserves identity objects and they commute with horizontal composition in C and D. See for more details and for lax versions. References Functors Higher category theory
https://en.wikipedia.org/wiki/Matija%20Proti%C4%87
Matija Protić (; born 5 March 1994) is a Serbian football midfielder who plays for Sloga Požega. Career statistics Honours Mladost Serbian First League: 2013–14 References External links Matija Protić stats at utakmica.rs 1994 births Living people Footballers from Čačak Men's association football midfielders Serbian men's footballers FK Mladost Lučani players FK Polet Ljubić players Serbian SuperLiga players
https://en.wikipedia.org/wiki/Biclique-free%20graph
In graph theory, a branch of mathematics, a -biclique-free graph is a graph that has no -vertex complete bipartite graph as a subgraph. A family of graphs is biclique-free if there exists a number such that the graphs in the family are all -biclique-free. The biclique-free graph families form one of the most general types of sparse graph family. They arise in incidence problems in discrete geometry, and have also been used in parameterized complexity. Properties Sparsity According to the Kővári–Sós–Turán theorem, every -vertex -biclique-free graph has edges, significantly fewer than a dense graph would have. Conversely, if a graph family is defined by forbidden subgraphs or closed under the operation of taking subgraphs, and does not include dense graphs of arbitrarily large size, it must be -biclique-free for some , for otherwise it would include large dense complete bipartite graphs. As a lower bound, conjectured that every maximal -biclique-free bipartite graph (one to which no more edges can be added without creating a -biclique) has at least edges, where and are the numbers of vertices on each side of its bipartition. Relation to other types of sparse graph family A graph with degeneracy is necessarily -biclique-free. Additionally, any nowhere dense family of graphs is biclique-free. More generally, if there exists an -vertex graph that is not a 1-shallow minor of any graph in the family, then the family must be -biclique-free, because all -vertex graphs are 1-shallow minors of . In this way, the biclique-free graph families unify two of the most general classes of sparse graphs. Applications Discrete geometry In discrete geometry, many types of incidence graph are necessarily biclique-free. As a simple example, the graph of incidences between a finite set of points and lines in the Euclidean plane necessarily has no subgraph. Parameterized complexity Biclique-free graphs have been used in parameterized complexity to develop algorithms that are efficient for sparse graphs with suitably small input parameter values. In particular, finding a dominating set of size , on -biclique-free graphs, is fixed-parameter tractable when parameterized by , even though there is strong evidence that this is not possible using alone as a parameter. Similar results are true for many variations of the dominating set problem. It is also possible to test whether one dominating set of size at most can be converted to another one by a chain of vertex insertions and deletions, preserving the dominating property, with the same parameterization. References Extremal graph theory Graph families
https://en.wikipedia.org/wiki/Svetlozar%20Rachev
Svetlozar (Zari) Todorov Rachev is a professor at Texas Tech University who works in the field of mathematical finance, probability theory, and statistics. He is known for his work in probability metrics, derivative pricing, financial risk modeling, and econometrics. In the practice of risk management, he is the originator of the methodology behind the flagship product of FinAnalytica. Life and work Rachev earned a MSc degree from the Faculty of Mathematics at Sofia University in 1974, a PhD degree from Lomonosov Moscow State University under the supervision of Vladimir Zolotarev in 1979, and a Dr Sci degree from Steklov Mathematical Institute in 1986 under the supervision of Leonid Kantorovich, a Nobel Prize winner in economic sciences, Andrey Kolmogorov and Yuri Prokhorov. Currently, he is Professor of Financial Mathematics at Texas Tech University. In mathematical finance, Rachev is known for his work on application of non-Gaussian models for risk assessment, option pricing, and the applications of such models in portfolio theory. He is also known for the introduction of a new risk-return ratio, the "Rachev Ratio", designed to measure the reward potential relative to tail risk in a non-Gaussian setting. In probability theory, his books on probability metrics and mass-transportation problems are widely cited. FinAnalytica Rachev's academic work on non-Gaussian models in mathematical finance was inspired by the difficulties of common classical Gaussian-based models to capture empirical properties of financial data. Rachev and his daughter, Borjana Racheva-Iotova, established Bravo Group in 1999, a company with the goal to develop software based on Rachev's research on fat-tailed models. The company was later acquired by FinAnalytica. The company has won the Waters Rankings "Best Market Risk Solution Provider" award in 2010, 2012, and 2015, and also the "Most Innovative Specialist Vendor" Risk Award in 2014. Awards and honors Fellow of the Institute of Mathematical Statistics Humboldt Research Award for Foreign Scholars (1995) Honorary Doctor of Science at Saint Petersburg State Institute of Technology (1992) Foreign Member of the Russian Academy of Natural Sciences Selected publications Books Articles References External links A definition of the Rachev Ratio FinAnalytica Inc 20th-century Bulgarian mathematicians 21st-century Bulgarian mathematicians Living people 1951 births
https://en.wikipedia.org/wiki/Homotopy%20Lie%20algebra
In mathematics, in particular abstract algebra and topology, a homotopy Lie algebra (or -algebra) is a generalisation of the concept of a differential graded Lie algebra. To be a little more specific, the Jacobi identity only holds up to homotopy. Therefore, a differential graded Lie algebra can be seen as a homotopy Lie algebra where the Jacobi identity holds on the nose. These homotopy algebras are useful in classifying deformation problems over characteristic 0 in deformation theory because deformation functors are classified by quasi-isomorphism classes of -algebras. This was later extended to all characteristics by Jonathan Pridham. Homotopy Lie algebras have applications within mathematics and mathematical physics; they are linked, for instance, to the Batalin–Vilkovisky formalism much like differential graded Lie algebras are. Definition There exists several different definitions of a homotopy Lie algebra, some particularly suited to certain situations more than others. The most traditional definition is via symmetric multi-linear maps, but there also exists a more succinct geometric definition using the language of formal geometry. Here the blanket assumption that the underlying field is of characteristic zero is made. Geometric definition A homotopy Lie algebra on a graded vector space is a continuous derivation, , of order that squares to zero on the formal manifold . Here is the completed symmetric algebra, is the suspension of a graded vector space, and denotes the linear dual. Typically one describes as the homotopy Lie algebra and with the differential as its representing commutative differential graded algebra. Using this definition of a homotopy Lie algebra, one defines a morphism of homotopy Lie algebras, , as a morphism of their representing commutative differential graded algebras that commutes with the vector field, i.e., . Homotopy Lie algebras and their morphisms define a category. Definition via multi-linear maps The more traditional definition of a homotopy Lie algebra is through an infinite collection of symmetric multi-linear maps that is sometimes referred to as the definition via higher brackets. It should be stated that the two definitions are equivalent. A homotopy Lie algebra on a graded vector space is a collection of symmetric multi-linear maps of degree , sometimes called the -ary bracket, for each . Moreover, the maps satisfy the generalised Jacobi identity: for each n. Here the inner sum runs over -unshuffles and is the signature of the permutation. The above formula have meaningful interpretations for low values of ; for instance, when it is saying that squares to zero (i.e., it is a differential on ), when it is saying that is a derivation of , and when it is saying that satisfies the Jacobi identity up to an exact term of (i.e., it holds up to homotopy). Notice that when the higher brackets for vanish, the definition of a differential graded Lie algebra on is recovered. Using
https://en.wikipedia.org/wiki/2006%E2%80%9307%20VfL%20Bochum%20season
The 2006–07 VfL Bochum season was the 69th season in club history. Review and events Matches Legend Bundesliga DFB-Pokal Squad Squad and statistics Squad, appearances and goals scored Transfers Summer In: Out: Winter In: Out: VfL Bochum II Sources External links 2006–07 VfL Bochum season at Weltfussball.de 2006–07 VfL Bochum season at kicker.de 2006–07 VfL Bochum season at Fussballdaten.de Bochum VfL Bochum seasons
https://en.wikipedia.org/wiki/Yujiro%20Kawamata
Yujiro Kawamata (born 1952) is a Japanese mathematician working in algebraic geometry. Career Kawamata completed the master's course at the University of Tokyo in 1977. He was an Assistant at the University of Mannheim from 1977 to 1979 and a Miller Fellow at the University of California, Berkeley from 1981 to 1983. Kawamata is now a professor at the University of Tokyo. He won the Mathematical Society of Japan Autumn award (1988) and the Japan Academy of Sciences award (1990) for his work in algebraic geometry. Research Kawamata was involved in the development of the minimal model program in the 1980s. The program aims to show that every algebraic variety is birational to one of an especially simple type: either a minimal model or a Fano fiber space. The Kawamata-Viehweg vanishing theorem, strengthening the Kodaira vanishing theorem, is a method. Building on that, Kawamata proved the basepoint-free theorem. The cone theorem and contraction theorem, central results in the theory, are the result of a joint effort by Kawamata, Kollár, Mori, Reid, and Shokurov. After Mori proved the existence of minimal models in dimension 3 in 1988, Kawamata and Miyaoka clarified the structure of minimal models by proving the abundance conjecture in dimension 3. Kawamata used analytic methods in Hodge theory to prove the Iitaka conjecture over a base of dimension 1. More recently, a series of papers by Kawamata related the derived category of coherent sheaves on an algebraic variety to geometric properties in the spirit of minimal model theory. Notes References External links Homepage in Tokyo Page at KIAS 1952 births Living people Algebraic geometers 20th-century Japanese mathematicians 21st-century Japanese mathematicians Academic staff of the University of Tokyo University of Tokyo alumni
https://en.wikipedia.org/wiki/L%27Asino
L'Asino (The Donkey) was an Italian magazine of political satire founded in Rome in 1892, by Guido Podrecca (1865–1923) and Gabriele Galantara (1867–1937), a former mathematics student, designer and cartoonist, both with a socialist background. The two took the pseudonyms "Goliardo" (Podrecca) and "Ratalanga" (Galantara), and with these nicknames signed the outputs of the weekly. The magazine's title was from a saying of Francesco Domenico Guerrazzi that said that "the donkey is like the people: useful, patient and stubborn" (in Italian: "come il popolo è l'asino: utile, paziente e bastonato), which became the subtitle and the motto of the editors. Early years In 1892, Podrecca and Galantara accepted a proposal of the Socialist publisher Luigi Mongini and founded a political satire weekly, L'Asino. The first issue appeared on 27 November 1892. Directed by Podrecca, the periodical gave voice to the demands of the socialist movement and also published informative and ideological articles. It was an immediate success and already by the beginning of 1893, when it began to be printed in colour, it was circulating around 22,000 copies, which rose to 60,000 in 1904 and 100,000 in 1907. LʹAsino was inspired by the great tradition of European political satire from France (La Caricature, Le Charivari, Le Rire and in particular L'Assiette au Beurre to which Galatanra contributed his cartoons) and especially from Germany, with the socialist fortnightly Der Wahre Jacob, to which Podrecca and Galantara drew direct inspiration: double colour covers, texts enriched with drawings and engravings, satire articles alternating with rigorous social criticism. The magazine immediately focused its attention on the collapse of the Banca Romana in 1893 and Prime Minister Giovanni Giolitti. The success of the magazine led its two founders to embark on a daily publication in January 1895, but the experiment was unsuccessful and from August of the same year it reverted to a weekly publication. In 1897, Podrecca and Galantara were arrested for subversive propaganda and L'Asino had to suspend publication for a short period. Anticlericalism After 1901, the magazine began to criticize the Catholic Church and became the leading anticlerical journal, as a reaction to the anti-liberal campaign by the Vatican against a divorce bill introduced in 1902 and the attempts to set up Catholic trade unions in opposition to the socialist ones. L'Asino launched a virulent offensive against the clergy in terms of customs, morals and religious sentiment, "portraying the image of the lustful, jealous, greedy, corrupt and corrupting priest [...]. With an incessant hammering of cartoons, caricatures, satires, denunciations, easy and often superficial popular articles, Galantara and Podrecca succeeded in widely spreading this image in vast sectors of the popular masses". As a result, the magazine was banned from Vatican City. The magazine circulated widely among Italian immigrants in the Uni
https://en.wikipedia.org/wiki/2015%E2%80%9316%20Sporting%20CP%20season
This article shows Sporting Clube de Portugal's player statistics and all matches that the club played during the 2015–16 season. Pre-season and friendlies Competitions Overall record Supertaça Cândido de Oliveira Primeira Liga League table Results by round Matches Taça de Portugal Third round Fourth round Fifth round Taça da Liga Third round UEFA Champions League Play-off round UEFA Europa League Group stage Round of 32 Squad statistics Players Current squad Transfers In End of contract Out End of contract References External links Official club website Sporting CP seasons Sporting Sporting Lisbon
https://en.wikipedia.org/wiki/Florian%20Luca
Florian Luca (born 16 March 1969, in Galați) is a Romanian mathematician who specializes in number theory with emphasis on Diophantine equations, linear recurrences and the distribution of values of arithmetic functions. He has made notable contributions to the proof that irrational automatic numbers are transcendental and the proof of a conjecture of Erdős on the intersection of the Euler Totient function and the sum of divisors function. Luca graduated with a BS in Mathematics from Alexandru Ioan Cuza University in Iași (1992), and Ph.D. in Mathematics from the University of Alaska Fairbanks (1996). He has held various appointments at Syracuse University, Bielefeld University, Czech Academy of Sciences, and National Autonomous University of Mexico. Currently he is a research professor at the University of the Witwatersrand. He has co-authored over 500 papers in mathematics with more than 200 co-authors. He is a recipient of the award of a 2005 Guggenheim Fellowship for Natural Sciences, Latin America & Caribbean. Luca is one of the editors-in-chief of INTEGERS: the Electronic Journal of Combinatorial Number Theory and an editor of the Fibonacci Quarterly. Selected works with Boris Adamczewski, Yann Bugeaud: Sur la complexité des nombres algébriques, Comptes Rendus Mathématique. Académie des Sciences. Paris 339 (1), 11-14, 2013 with Kevin Ford, Carl Pomerance: Common values of the arithmetic functions ϕ and σ, Bulletin of the London Mathematical Society 42 (3), 478-488, 2010 with Jean-Marie De Koninck: Analytic Number Theory: Exploring the Anatomy of Integers, American Mathematical Society, 2012 Diophantine Equations - Effective Methods for Diophantine Equations, 2009, Online pdf file References External links 1969 births Living people Romanian mathematicians University of Alaska Fairbanks alumni Syracuse University faculty Academic staff of Bielefeld University Academic staff of the National Autonomous University of Mexico Academic staff of the University of the Witwatersrand Alexandru Ioan Cuza University alumni People from Galați
https://en.wikipedia.org/wiki/Filters%20in%20topology
Filters in topology, a subfield of mathematics, can be used to study topological spaces and define all basic topological notions such as convergence, continuity, compactness, and more. Filters, which are special families of subsets of some given set, also provide a common framework for defining various types of limits of functions such as limits from the left/right, to infinity, to a point or a set, and many others. Special types of filters called have many useful technical properties and they may often be used in place of arbitrary filters. Filters have generalizations called (also known as ) and , all of which appear naturally and repeatedly throughout topology. Examples include neighborhood filters/bases/subbases and uniformities. Every filter is a prefilter and both are filter subbases. Every prefilter and filter subbase is contained in a unique smallest filter, which they are said to . This establishes a relationship between filters and prefilters that may often be exploited to allow one to use whichever of these two notions is more technically convenient. There is a certain preorder on families of sets, denoted by that helps to determine exactly when and how one notion (filter, prefilter, etc.) can or cannot be used in place of another. This preorder's importance is amplified by the fact that it also defines the notion of filter convergence, where by definition, a filter (or prefilter) to a point if and only if where is that point's neighborhood filter. Consequently, subordination also plays an important role in many concepts that are related to convergence, such as cluster points and limits of functions. In addition, the relation which denotes and is expressed by saying that also establishes a relationship in which is to as a subsequence is to a sequence (that is, the relation which is called , is for filters the analog of "is a subsequence of"). Filters were introduced by Henri Cartan in 1937 and subsequently used by Bourbaki in their book as an alternative to the similar notion of a net developed in 1922 by E. H. Moore and H. L. Smith. Filters can also be used to characterize the notions of sequence and net convergence. But unlike sequence and net convergence, filter convergence is defined in terms of subsets of the topological space and so it provides a notion of convergence that is completely intrinsic to the topological space; indeed, the category of topological spaces can be equivalently defined entirely in terms of filters. Every net induces a canonical filter and dually, every filter induces a canonical net, where this induced net (resp. induced filter) converges to a point if and only if the same is true of the original filter (resp. net). This characterization also holds for many other definitions such as cluster points. These relationships make it possible to switch between filters and nets, and they often also allow one to choose whichever of these two notions (filter or net) is more convenient for the pro
https://en.wikipedia.org/wiki/Mathletics
Mathletics may refer to: Education Mathematics Mathletics (educational software), mathematics teaching software, a product of Australian company 3P Learning Arts and entertainment Music "Mathletics" (Foals song) See also List of mathematics competitions Mathlete All pages beginning with "Mathletics"
https://en.wikipedia.org/wiki/Geometry%20%28Ivo%20Perelman%20album%29
Geometry is an album by Brazilian jazz saxophonist Ivo Perelman featuring American pianist Borah Bergman, which was recorded in 1996 and released on the English Leo label. Reception In his review for AllMusic, Alex Henderson says that "this CD doesn't quite fall into the 'essential' category... Nonetheless, Geometry is an enjoyable release that Perelman's more-devoted followers will want." The Penguin Guide to Jazz notes that "Bergman is wily enough to find ways of both supporting and undercutting the mighty sound of the tenor." Track listing All compositions by Ivo Perelman "Geometry" - 11:02 "Linear Pasion" - 4:46 "Parallelism" - 9:30 "Cavaquinho take 1" - 2:56 "Cubic Rotation" - 11:23 "Equal Angels" - 4:22 "Sonic Conic" - 2:57 "Subspaces" - 6:41 "Cavaquinho take 2" - 3:26 Personnel Ivo Perelman - tenor sax Borah Bergman - piano References 1997 albums Ivo Perelman albums Leo Records albums Borah Bergman albums
https://en.wikipedia.org/wiki/Flip%20graph
In mathematics, a flip graph is a graph whose vertices are combinatorial or geometric objects, and whose edges link two of these objects when they can be obtained from one another by an elementary operation called a flip. Flip graphs are special cases of geometric graphs. Among noticeable flip graphs, one finds the 1-skeleton of polytopes such as associahedra or cyclohedra. Examples A prototypical flip graph is that of a convex -gon . The vertices of this graph are the triangulations of , and two triangulations are adjacent in it whenever they differ by a single interior edge. In this case, the flip operation consists in exchanging the diagonals of a convex quadrilateral. These diagonals are the interior edges by which two triangulations adjacent in the flip graph differ. The resulting flip graph is both the Hasse diagram of the Tamari lattice and the 1-skeleton of the -dimensional associahedron. This basic construction can be generalized in a number of ways. Finite sets of points in Euclidean space Let be a triangulation of a finite set of points . Under some conditions, one may transform into another triangulation of by a flip. This operation consists in modifying the way triangulates a circuit (a minimally affinely dependent subset of ). More precisely, if some triangulation of a circuit is a subset of , and if all the cells (faces of maximal dimension) of have the same link in , then one can perform a flip within by replacing by , where and is, by Radon's partition theorem, the unique other triangulation of . The conditions just stated, under which a flip is possible, make sure that this operation results in a triangulation of . The corresponding flip graph, whose vertices are the triangulations of and whose edges correspond to flips between them, is a natural generalization of the flip graph of a convex polygon, as the two flip graphs coincide when is the set of the vertices of a convex -gon. Topological surfaces Another kind of flip graphs is obtained by considering the triangulations of a topological surface: consider such a surface , place a finite number of points on it, and connect them by arcs in such a way that any two arcs never cross. When this set of arcs is maximal, it decomposes into triangles. If in addition there are no multiple arcs (distinct arcs with the same pair of vertices), nor loops, this set of arcs defines a triangulation of . In this setting, two triangulations of that can be obtained from one another by a continuous transformation are identical. Two triangulations are related by a flip when they differ by exactly one of the arcs they are composed of. Note that, these two triangulations necessarily have the same number of vertices. As in the Euclidean case, the flip graph of is the graph whose vertices are the triangulations of with vertices and whose edges correspond to flips between them. This definition can be straightforwardly extended to bordered topological surfaces. The fl
https://en.wikipedia.org/wiki/2006%20JPMorgan%20Chase%20Open%20%E2%80%93%20Singles
The 2006 JPMorgan Chase Open singles statistics are for the 2006 WTA Tour, a Women's Tennis Association (WTA) tennis competition. Tournament Kim Clijsters was the defending champion, but did not compete this year. Elena Dementieva won the title, defeating Jelena Janković 6–3, 4–6, 6–4 in the final. It was her 2nd title of the year and the 6th title of her career. Seeds The top eight seeds received a bye into the second round. Draw Finals Top half Section 1 Section 2 Bottom half Section 3 Section 4 See also 2006 ATP Tour WTA Tour List of female tennis players List of tennis tournaments References External links Main and Qualifying Draws 2006 WTA Tour
https://en.wikipedia.org/wiki/Mina%20Aganagi%C4%87
Mina Aganagić is a mathematical physicist who works as a professor in the Center for Theoretical Physics, the Department of Mathematics, the Department of Physics at the University of California, Berkeley. Career Aganagić was raised in Sarajevo, Bosnia and Herzegovina, Yugoslavia. She has a bachelor's degree and a doctorate from the California Institute of Technology, in 1995 and 1999 respectively; her PhD advisor was John Henry Schwarz. She was a postdoctoral fellow at the Harvard University physics department from 1999 to 2003. She then joined the physics faculty at the University of Washington, where she became a Sloan Research Fellow and a DOE Outstanding Junior Investigator. She moved to UC Berkeley in 2004. In 2016 the Simons Foundation gave her a Simons Investigator Award and the same year American Physical Society had awarded her with its fellowship. Research She is known for applying string theory to various problems in mathematics, including knot theory (refined Chern–Simons theory), enumerative geometry, mirror symmetry, and the geometric Langlands correspondence. Selected publications References External links Physics Department home page Math Department home page Year of birth missing (living people) Living people Yugoslav emigrants to the United States California Institute of Technology alumni University of Washington faculty University of California, Berkeley College of Letters and Science faculty Bosnia and Herzegovina mathematicians 21st-century American mathematicians American women mathematicians Mathematical physicists Simons Investigator 21st-century women mathematicians American string theorists Fellows of the American Physical Society American women physicists 21st-century American women scientists Quantum physicists
https://en.wikipedia.org/wiki/Unemployment%20in%20Scotland
Unemployment in Scotland measured by the Office for National Statistics show unemployment in Scotland at 155,000 (5.6%) as of August 2015. Statistics See also Unemployment in the United Kingdom Unemployment in Spain Unemployment in Poland References External links Official Labour Market Statistics Scotland Economy of Scotland
https://en.wikipedia.org/wiki/Adam%20Jabiri
Adam Jabiri (born 3 June 1984) is a German professional footballer who plays as a forward for 1. FC Schweinfurt 05. Career statistics Honours Rot-Weiß Erfurt Thuringia Cup: 2007–08 1. FC Heidenheim Württemberg Cup: 2011–12 Würzburger Kickers 3. Liga: Third place 2015–16 (promotion to 2. Bundesliga) Regionalliga Bayern: Champion 2014–15 Bavarian Cup: 2015–16 1. FC Schweinfurt 05 Regionalliga Bayern: Champion 2019–21 Bavarian Cup: 2016–17, 2017–18 Regionalliga Bayern top scorer: 2017–18 (28 goals) References External links 1984 births Living people Men's association football forwards German men's footballers FC Rot-Weiß Erfurt players TSG 1899 Hoffenheim players TSG 1899 Hoffenheim II players 1. FC Heidenheim players Wormatia Worms players Würzburger Kickers players 1. FC Schweinfurt 05 players 3. Liga players Bundesliga players Regionalliga players People from Kitzingen Footballers from Lower Franconia
https://en.wikipedia.org/wiki/Cindy%20Greenwood
Priscilla E. (Cindy) Greenwood (born 1937) is a Canadian mathematician who is a professor emeritus of mathematics at the University of British Columbia. She is known for her research in probability theory. Education and career Greenwood graduated from Duke University with a B.A. in 1959. She began her graduate studies in operations research at the Massachusetts Institute of Technology, where she became exposed to probability theory through a course on stochastic processes offered in 1960 by Henry McKean. Soon afterwards, she switched to the University of Wisconsin–Madison, where she completed her Ph.D. in 1963 under the supervision of Joshua Chover. She taught for two years at North Carolina College before moving to the University of British Columbia in 1966. She has also been associated with Arizona State University, as a visiting professor from 2000 to 2003 and since 2004 as a research professor. Research Greenwood's research in the 1970s concerned Brownian motion, Lévy processes, and Wiener–Hopf factorization. During this method she developed the theory of the martintote, a process similar to a martingale used to study asymptotic properties of processes. In the 1980s Greenwood began working with Ed Perkins on nonstandard analysis, which they used to study local time and excursions. In this timeframe she also began working on set-indexed processes, a topic that would lead her to the theory of random fields, and on semimartingales. She traveled to Russia, and wrote a monograph on chi-squared tests with Mikhail Nikulin. In 1990 she and Igor Evstigneev wrote a second monograph, on random fields. Her research in this period also concerned metric entropy and asymptotic efficiency. She began her work in biostatistics, involving studies of different mammalian populations, and led a major study on statistical estimation near critical points of a parameter. Beginning in 2000, at Arizona State, she studied pink noise and stochastic resonance, which she applied to epidemic models in biostatistics as well as to the firing patterns of neurons. Awards and honours Greenwood was elected as a fellow of the Institute of Mathematical Statistics in 1985. She won the Krieger–Nelson Prize of the Canadian Mathematical Society in 2002. Books Contiguity and the statistical invariance principle (with A. N. Shiryayev, Gordon & Breach, 1985) Markov fields over countable partially ordered sets: extrema and splitting (with I. V. Evstigneev, Memoirs of the American Mathematical Society 112, American Mathematical Society, 1994) A guide to chi-squared testing (with Mikhail S. Nikulin, Wiley, 1996) Stochastic neuron models (with Lawrence M. Ward, Mathematical Biosciences Institute Lecture Series, Springer, 2016) References External links Home page 1937 births Living people Canadian mathematicians Women mathematicians Canadian statisticians Women statisticians Duke University alumni University of Wisconsin–Madison alumni North Carolina Central University faculty Academ
https://en.wikipedia.org/wiki/Daniel%20Allcock
Daniel Allcock is a mathematician specializing in group theory, Lie theory and algebraic geometry. He is a professor of mathematics at the University of Texas at Austin. Career Allcock graduated from the University of Texas in 1991 with a double major in mathematics and physics. He received his Ph.D. from the University of California, Berkeley in 1996 under the supervision of Richard Borcherds and Andrew Casson. After temporary positions at the University of Utah and Harvard University, he returned to the University of Texas as a faculty member in 2002. Awards In 2012, Allcock became a fellow of the American Mathematical Society. References Year of birth missing (living people) Living people Fellows of the American Mathematical Society 20th-century American mathematicians 21st-century American mathematicians University of Texas at Austin College of Natural Sciences alumni University of California, Berkeley alumni University of Texas at Austin faculty Group theorists Algebraic geometers University of Utah faculty Harvard University Department of Mathematics faculty Harvard University faculty
https://en.wikipedia.org/wiki/Henning%20Haahr%20Andersen
Henning Haahr Andersen is a mathematician specializing in Algebraic groups, Lie algebras, Quantum groups and Representation theory. Andersen received his Ph.D. from the Massachusetts Institute of Technology in 1977 under the supervision of Steven Lawrence Kleiman. In 2012, Andersen became a fellow of the American Mathematical Society. References Year of birth missing (living people) Living people Fellows of the American Mathematical Society 20th-century Danish mathematicians 21st-century Danish mathematicians Massachusetts Institute of Technology School of Science alumni Academic staff of Aarhus University
https://en.wikipedia.org/wiki/David%20F.%20Anderson
David F. Anderson (born 5 June 1978 in Bridgewater, Massachusetts, USA) is a Vilas Distinguished Achievement Professor of Mathematics at the University of Wisconsin-Madison. Education Anderson received his Ph.D. from Duke University in 2005. Anderson received his B.A. in Mathematics from The University of Virginia in 2000. Anderson graduated from Bridgewater-Raynham Regional High School in 1996. Awards and honors In 2018, Anderson was named a Vilas Distinguished Achievement Professor at the University of Wisconsin-Madison. In 2014, Anderson received the inaugural IMA Prize in Mathematics and its Applications. Anderson received this recognition for his contributions to numerical methods for stochastic models in biology and to the mathematical theory of biological interaction networks. Books References Living people Fellows of the American Mathematical Society 21st-century American mathematicians Duke University alumni University of Wisconsin–Madison faculty 1978 births
https://en.wikipedia.org/wiki/Avner%20Ash
Avner Ash is a professor of mathematics at Boston College. Ash received his Ph.D. from Harvard University in 1975 under the supervision of David Mumford. In 2012, Ash became a fellow of the American Mathematical Society. Works References Year of birth missing (living people) Living people Fellows of the American Mathematical Society 20th-century American mathematicians 21st-century American mathematicians Harvard University alumni Boston College faculty Number theorists
https://en.wikipedia.org/wiki/Paul%20Balmer
Paul Balmer (born 1970) is a Swiss mathematician, working in algebra. He is a professor of mathematics at the University of California, Los Angeles. Balmer received his Ph.D. from the University of Lausanne in 1998, under the supervision of Manuel Ojanguren, with a thesis entitled Groupes de Witt dérivés des Schémas (in French). His research centers around triangulated categories. More specifically, he is a proponent of tensor-triangular geometry, an umbrella topic which covers geometric aspects of algebraic geometry, modular representation theory, stable homotopy theory, and other areas, by means of relevant tensor-triangulated categories. Balmer was an Invited Speaker at the International Congress of Mathematicians in Hyderabad in 2010, with a talk on Tensor Triangular Geometry. In 2012, he became a fellow of the American Mathematical Society. He was awarded the Humboldt Prize in 2015. References 1970 births 20th-century American mathematicians 21st-century American mathematicians Living people Fellows of the American Mathematical Society Swiss mathematicians University of Lausanne alumni University of California, Los Angeles faculty