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https://en.wikipedia.org/wiki/Naoya%20Uozato
is a Japanese football player for Fujieda MYFC. Career After an initial stint with Cerezo Osaka, Uozato moved to Gainare Tottori with a full transfer in August 2018. Club statistics Updated to 22 August 2018. References External links Profile at J. League Profile at Cerezo Osaka 1995 births Living people Association football people from Hyōgo Prefecture Japanese men's footballers J1 League players J2 League players J3 League players Cerezo Osaka players Cerezo Osaka U-23 players Gainare Tottori players Fujieda MYFC players Men's association football midfielders
https://en.wikipedia.org/wiki/Anne%20Cobbe
Anne Philippa Cobbe (7 August 1920 – 15 December 1971) was a mathematician at the University of Oxford. She was an inspirational and supportive pure mathematics tutor at Somerville College which, during her time there, was still a women's college. Early life Anne was born in Sharnbrook, Bedfordshire, youngest child of General Alexander Cobbe (member of the Cobbe family) and Winifred Ada Bowen. Her mother was the daughter of Sir Albert Bowen, 1st Baronet, lord of Colworth House, where Anne grew up. She had a sister, Winifred Alice (born 1912) and brother, Alexander William Locke (born 1919). At the age of ten, her father died. Her brother, known as Bill, was killed as an RAF pilot in the Battle of Britain in 1940. Education and career She attended Downe House School near Newbury, Berkshire. She started reading mathematics in the Sixth form but sat the history scholarship examinations at the University of Oxford in 1938. The result being that she was told that history was not the right subject for her to study. The following year, 1939, she sat the mathematics entrance exam and was awarded an exhibition for a place at Somerville College, Oxford. (Her head teacher Olive Willis had also studied at Somerville College.) Anne sat her finals in 1942 and then took up a position in operational research for the Royal Navy. After the war she returned to Oxford and was awarded her MA in 1946. She undertook research at Lady Margaret Hall under the guidance of J. H. C. Whitehead who knew her as a family friend. Her first paper in homological algebra (Some algebraic properties of crossed modules) was published in 1951 and she earned her DPhil for her thesis Modern Algebraic Theories in 1952. Cobbe became a lecturer at Lady Margaret Hall and published On the cohomology groups of a finite group in 1955. She returned to Somerville the same year, where she was appointed as a fellow and tutor. She enjoyed carefully looking after the gardens of Somerville College and preferred tutoring algebra there – with tea and biscuits, rather than lecturing. In 1957, she published On Q-kernels with operators, a joint paper with Robert Leroy Taylor. Later life Cobbe became gravely ill in 1969, a year after interviewing Caroline Series for her admission to Somerville. She gave up her positions as Fellow and Tutor in April 1971, however in the absence of a replacement she continued to offer support and advice until the time of her death in December. She gifted her house in Walton Street through her will to Somerville, on the condition that philosopher Philippa Foot would be granted life tenure. Jane Bridge, whom she had tutored at Somerville, became her successor as mathematics tutor at Somerville after her death. In 1972, Somerville College established the Anne Cobbe Memorial Fund with contributions from her friends, colleagues and pupils. The purpose of this fund is to provide opportunities for undergraduates reading mathematics, physics or engineering. References Sources
https://en.wikipedia.org/wiki/Mihnea%20Popa
Mihnea Popa (born 11 August 1973) is a Romanian-American mathematician at Harvard University, specializing in algebraic geometry. He is known for his work on complex birational geometry, Hodge theory, abelian varieties, and vector bundles. Academic career Popa received his bachelor's degree in 1996 from the University of Bucharest. He studied mathematics at the University of California, Los Angeles from 1996 to 1997, and then in 2001 he received his Ph.D. from the University of Michigan under the supervision of Robert Lazarsfeld. His thesis was titled Linear Series on Moduli Spaces of Vector Bundles on Curves. From 2001 to 2005, Popa was a Benjamin Peirce Assistant Professor at Harvard University and from 2005 to 2007 an assistant professor at the University of Chicago. He joined the University of Illinois at Chicago as an associate professor in 2007 and became a full professor in 2011. In 2014 he moved to Northwestern University, and in 2020 he became a professor at Harvard University. Awards and honors Popa is an honorary member of the Institute of Mathematics of the Romanian Academy. He was an AMS Centennial Fellow in 2005–2007, a Sloan Research Fellow in 2007–2009, and a Simons Fellow in 2015–2016. In 2015 he became a fellow of the American Mathematical Society. In 2018 he was an Invited Speaker at the International Congress of Mathematicians in Rio de Janeiro. Selected publications Positivity for Hodge modules and geometric applications, in Proceedings of Symposia in Pure Mathematics, Vol. 97, Part I, Algebraic Geometry: Salt Lake City 2015, pp. 555–584. References External links Homepage 1973 births Living people 20th-century Romanian mathematicians 21st-century Romanian mathematicians 20th-century American mathematicians 21st-century American mathematicians University of Bucharest alumni University of Michigan alumni University of Chicago faculty University of Illinois Chicago faculty Northwestern University faculty Harvard University Department of Mathematics faculty Harvard University faculty Sloan Fellows Fellows of the American Mathematical Society Algebraic geometers Romanian expatriates in the United States
https://en.wikipedia.org/wiki/Nanny%20Hammarstr%C3%B6m
Nanny Matilda Hammarström (March 23, 1870 – December 3, 1953) was a Finland-Swedish teacher and author. Hammarström was born in Vaasa. She taught mathematics, natural history, and geography at schools in Kokkola (1890–1891), Mariehamn (1895–1900), and Loviisa (1900–1943). She was active in a variety of roles in the community and society in Loviisa; she was a member of the town council from 1919 to 1923, and she became the chair of the town library board in 1930. Hammarström was known in particular as an author of children's books with nature themes. Her eleven books of stories were published in large print runs. She gained an international foothold with her debut work (The Adventures of Two Ants, 1906); the book was translated into Finnish, Norwegian, German, English, and Russian. This was followed, among other works, by (The Spring Wind's Journey; 1929), a story in which the south wind tells about everything it meets on its journey north. Her books are about the life and interaction of nature and animals, and Hammarström illustrated them herself. In 1979, and (The Hirundo Swallow Couple, 1915) were republished in new editions. The books (Children and Adults I–II, published in 1918 and 1920), are about the author's own family. Hammarström died in Loviisa, where she is also buried. References 1870 births 1953 deaths Finnish children's writers Finnish women children's writers Swedish-language writers 20th-century Finnish educators Finnish women educators Swedish-speaking Finns People from Vaasa Educators from the Russian Empire
https://en.wikipedia.org/wiki/Shuhei%20Tokumoto
is a Japanese footballer who plays as a left back for club FC Tokyo. Career After attending Josai International University, Tokumoto signed for FC Ryukyu in January 2018. Club statistics . References External links Profile at J. League Profile at FC Tokyo Profile at FC Ryukyu 1995 births Living people Josai International University alumni Association football people from Okinawa Prefecture Japanese men's footballers J1 League players J2 League players J3 League players FC Ryukyu players Fagiano Okayama players FC Tokyo players Men's association football defenders
https://en.wikipedia.org/wiki/Tomomitsu%20Kobayashi
is a Japanese footballer who plays for Gainare Tottori. Career After graduating at Yamanashi Gakuin University, Kobayashi was signed by Gainare Tottori in December 2017. Club statistics Updated to 23 August 2018. References External links Profile at J. League Profile at Gainare Tottori 1995 births Living people Association football people from Yamanashi Prefecture Japanese men's footballers J3 League players Gainare Tottori players Men's association football midfielders
https://en.wikipedia.org/wiki/Aio%20Fukuda
is a former Japanese football player. Career After graduating from the Saitama Institute of Technology, Fukuda signed for FC Ryukyu in January 2017. Club statistics Updated to 22 August 2018. Media In 2018 he quit football to appear in the reality series Terrace House: Opening New Doors. References External links Profile at J. League Profile at FC Ryukyu 1994 births Living people Association football people from Kanagawa Prefecture Japanese men's footballers J3 League players FC Ryukyu players Men's association football goalkeepers
https://en.wikipedia.org/wiki/Naoto%20Misawa
is a Japanese football player for Kyoto Sanga. Career After attending at Senshu University, Misawa joined YSCC Yokohama. Club statistics Updated to 2 January 2021. References External links Profile at J. League Profile at YSCC Yokohama 1995 births Living people Association football people from Iwate Prefecture Japanese men's footballers J2 League players J3 League players YSCC Yokohama players Gainare Tottori players Kyoto Sanga FC players Men's association football midfielders
https://en.wikipedia.org/wiki/Shunta%20Nakamura
is a Japanese football player for Thespakusatsu Gunma. Career After being a protagonist with Aomori Yamada High School, Nakamura joined Montedio Yamagata for 2018 season. Club statistics Updated to 23 August 2018. References External links Shunta Nakamura at J.LEAGUE Data Site (archived) Shunta Nakamura at J.LEAGUE.jp Shunta Nakamura at Montedio Yamagata (archived) 1999 births Living people Association football people from Chiba Prefecture Japanese men's footballers J2 League players Montedio Yamagata players Thespakusatsu Gunma players Men's association football midfielders
https://en.wikipedia.org/wiki/Wataru%20Noguchi
is a Japanese football player for FC Imabari. Playing career After being a protagonist at University of Tsukuba, Noguchi joined Giravanz Kitakyushu in January 2018. Club statistics Updated to 23 August 2018. References External links Profile at J. League Profile at Giravanz Kitakyushu 1996 births Living people Association football people from Ōita Prefecture Japanese men's footballers J2 League players J3 League players Giravanz Kitakyushu players FC Imabari players Men's association football midfielders Sportspeople from Ōita (city)
https://en.wikipedia.org/wiki/Yu%20Doan
is a Japanese footballer who plays for Ococias Kyoto AC. Career After being the captain at Biwako Seikei Sport College, Yu Doan joined Nagano Parceiro. Club statistics Updated to 1 January 2020. References External links Profile at J. League Profile at AC Nagano Parceiro 1995 births Living people Association football people from Hyōgo Prefecture Japanese men's footballers J3 League players AC Nagano Parceiro players Ococias Kyoto AC players Men's association football midfielders
https://en.wikipedia.org/wiki/Tomoya%20Wakahara
is a Japanese footballer who plays for Kyoto Sanga FC. Career After being raised by Kyoto Sanga youth ranks, Wakahara was promoted to the top team in November 2017. Career statistics Updated to 20 July 2022. References External links Tomoya Wakahara at J. League Data Site Tomoya Wakahara at J.LEAGUE.jp (archive) Tomoya Wakahara at Kyoto Sanga FC (archived) 1999 births Living people Association football people from Shiga Prefecture Japanese men's footballers Japan men's youth international footballers Men's association football goalkeepers Kyoto Sanga FC players J1 League players J2 League players
https://en.wikipedia.org/wiki/Measurable%20acting%20group
In mathematics, a measurable acting group is a special group that acts on some space in a way that is compatible with structures of measure theory. Measurable acting groups are found in the intersection of measure theory and group theory, two sub-disciplines of mathematics. Measurable acting groups are the basis for the study of invariant measures in abstract settings, most famously the Haar measure, and the study of stationary random measures. Definition Let be a measurable group, where denotes the -algebra on and the group law. Let further be a measurable space and let be the product -algebra of the -algebras and . Let act on with group action If is a measurable function from to , then it is called a measurable group action. In this case, the group is said to act measurably on . Example: Measurable groups as measurable acting groups One special case of measurable acting groups are measurable groups themselves. If , and the group action is the group law, then a measurable group is a group , acting measurably on . References Group theory Measure theory
https://en.wikipedia.org/wiki/Dionisio%20Gallarati
Dionisio Gallarati (May 8, 1923 – May 13, 2019) was an Italian mathematician, who specialised in algebraic geometry. He was a major influence on the development of algebra and geometry at the University of Genova. Life Born 8 May 1923 in Savona, Italy, Gallarati joined the University of Pisa in 1941. His studies being interrupted by the war, he received his first degree from Genova. He started his research career at l'Istituto Nazionale di Alta Matematica in Rome, where he was taught by Giacomo Albanese, Leonard Roth, Leonida Tonelli, E. G. Togliatti, Beniamino Segre and Francesco Severi. He took a post at Genova in 1947, where he stayed until he retired in 1987. Research Gallarati published 64 papers between 1951 and 1996. Important amongst his research was the study of surfaces in P3 with multiple isolated singularities. His lower bounds for maximal number of nodes of surfaces of degree n stood for a long time, and exact solutions for large n were still unknown in 2001. In Grassmannian geometry he extended Segre's bound "for the number of linearly independent complexes containing the curve in the Grassmannian corresponding to the tangent lines of a nondegenerate projective curve." He extended the results to arbitrarily dimensioned varieties' tangent spaces, to higher degree complexes, and to arbitrary curves in Grassmannians corresponding to degenerate scrolls. Works Gallarati wrote three books and 64 papers, in algebraic geometry, differential geometry, functional analysis, group theory, and biography. His co-authors include Giulio Aruffo, Mauro C. Beltrametti, Maria Teresa Bonardi, Gabriella Canonero, Ettore Carletti, Enrica Casazza, Mario G. Galli, Aldo Monti Iandelli, Giacomo Bragadin, Giorgio Luigi Olcese, Giulio Passatore, Luigi Robert, Aldo Rollero, Michele Sarà, Giulio Scarsi and Maria Ezia Serpico. 33 of his papers are collected in Dionisio Gallarati: Collected Papers of Dionisio Gallarati Kinston, Ontario, 2000, ed A. V. Geramita. References 1923 births Italian mathematicians 2019 deaths University of Pisa alumni University of Genoa alumni
https://en.wikipedia.org/wiki/Mohammad%20Reza%20Darafsheh
Mohammad Reza Darafsheh (born 31 August 1950) is an Iranian Mathematician and Professor of Mathematics at the University of Tehran, and a member of the executive committee of the Iranian Mathematical Society. He received a B.Sc. in Mathematics from the University of Tehran with first rank in 1974 and M.Sc. and Ph.D. degrees from University of Birmingham in 1975 and 1978 respectively under the supervision of Donald Livingston. His dissertation was titled "On some Subgroups of C_1." He has been a faculty member at the Shahid Chamran University of Ahvaz from 1978 to 1989, and from 1989 to present at the University of Tehran, where he chaired the mathematics department from 1995 to 1999 he has advised 33 Ph.D. students. His research area includes the representations and characters of finite groups, symmetry class of tensors, Thomson's conjecture, characterization of simple groups by the set of elements order. He has solved the Feit's conjecture on the p-Steinberg characters of finite groups. He has contributed to finding the character tables of linear groups. He has authored the books "An introduction to group theory", "Linear groups", and a 3 volume book titled "Algebra" which was included in "Eighty Treasures" in 2008 as part of the 80th anniversary of University of Tehran's establishment He was awarded the Abdus-Salam prize in Mathematics by International Centre for Theoretical Physics in 1990, and the Khwarizmi International Award in 1997 References Living people 21st-century Iranian mathematicians University of Tehran alumni Alumni of the University of Birmingham Group theorists Academic staff of Shahid Chamran University of Ahvaz Academic staff of the University of Tehran 1950 births 20th-century Iranian mathematicians
https://en.wikipedia.org/wiki/Arjun%20Gupta
Arjun Gupta may refer to: Arjun Gupta (actor) (born 1986), American actor and producer Arjun Kumar Gupta, professor of statistics
https://en.wikipedia.org/wiki/Th%C3%A9odore%20Macdonald
Théodore Harney MacDonald (25 November 1933 – 2011) was a Canadian polymath, professor of mathematics and health, and human rights defender. Background MacDonald was raised in Montreal, Quebec, as one of six children. His father was Cuthbert Goodridge MacDonald (1897-1967), editor of The Montreal Herald and a poet. Cuthbert's mother was the writer, Elizabeth Roberts MacDonald. Reports differ as to his early childhood. One account says that his mother left the family when he was ten and that the children were largely raised by the oldest daughter, then aged thirteen. Another says that he ran away from home, repelled by his father, but this seems unlikely because he gave praise for his father in a book preface. All agree that he was largely educated by Jesuits and that his precocious talents led to him finishing school curriculum several years early. All obituaries also report he obtained a Licentiate in Music (L.Mus) by the age of twelve. After this, he taught music before completing a second degree in mathematics and epidemiology from McGill University at the age of seventeen. He then worked in the Canadian Wildlife Service and (possibly) served for Canada in the Korean War. One obituary says that he was captured by North Korea but defected to them at the end of the war in 1953, aged twenty, travelling by ship with East German allies and settling there to complete a medical degree. He remained a socialist for the rest of his life. He also had a C. Psychol., possibly an MA or MSc from Columbia University, and PhD, possibly two (institution and discipline unknown, possibly medicine or biology and one source suggests from Glasgow and Delaware). In 1960, MacDonald participated in organized, nonviolent protest against racial segregation in the US southern states led by Martin Luther King Jr. and was eventually exiled from the US (he may later have studied at Columbia and Santa Clara), probably because he also began visiting Cuba and was known to authorities as a communist. MacDonald was in Perth, at the University of Western Australia, 1961-1963, and again in the 1970s, working at Monash University and the University of Newcastle, and had a Chair at the relatively young University of the South Pacific in 1972 and 1973 before being banned from entering Fiji on the grounds of 'political activity' in 1973. In all he spent over a decade in Australia, then relocated to London in the early 1980s, eventually settling in Littlehampton, on England's south coast, where he completed several books after retirement. He was married to Elizabeth Scammell (1936-2016) between 1962 and 1980 and adopted her two daughters, Lynda and Anne, from her previous marriage and was legal parent to her son Ross, but was estranged from him from the mid-1980s. Elizabeth and Theo had two children, a daughter Sara and son Gareth (1968-1988). MacDonald was subsequently married to Chris and had one child, Matthew, with another adopted, nine grandchildren, and one great-grandson by
https://en.wikipedia.org/wiki/Schwarz%20lantern
In mathematics, the Schwarz lantern is a polyhedral approximation to a cylinder, used as a pathological example of the difficulty of defining the area of a smooth (curved) surface as the limit of the areas of polyhedra. It is formed by stacked rings of isosceles triangles, arranged within each ring in the same pattern as an antiprism. The resulting shape can be folded from paper, and is named after mathematician Hermann Schwarz and for its resemblance to a cylindrical paper lantern. It is also known as Schwarz's boot, Schwarz's polyhedron, or the Chinese lantern. As Schwarz showed, for the surface area of a polyhedron to converge to the surface area of a curved surface, it is not sufficient to simply increase the number of rings and the number of isosceles triangles per ring. Depending on the relation of the number of rings to the number of triangles per ring, the area of the lantern can converge to the area of the cylinder, to a limit arbitrarily larger than the area of the cylinder, or to infinity—in other words, the area can diverge. The Schwarz lantern demonstrates that sampling a curved surface by close-together points and connecting them by small triangles is inadequate to ensure an accurate approximation of area, in contrast to the accurate approximation of arc length by inscribed polygonal chains. The phenomenon that closely sampled points can lead to inaccurate approximations of area has been called the Schwarz paradox. The Schwarz lantern is an instructive example in calculus and highlights the need for care when choosing a triangulation for applications in computer graphics and the finite element method. History and motivation Archimedes approximated the circumference of circles by the lengths of inscribed or circumscribed regular polygons. More generally, the length of any smooth or rectifiable curve can be defined as the supremum of the lengths of polygonal chains inscribed in them. However, for this to work correctly, the vertices of the polygonal chains must lie on the given curve, rather than merely near it. Otherwise, in a counterexample sometimes known as the staircase paradox, polygonal chains of vertical and horizontal line segments of total length can lie arbitrarily close to a diagonal line segment of length , converging in distance to the diagonal segment but not converging to the same length. The Schwarz lantern provides a counterexample for surface area rather than length, and shows that for area, requiring vertices to lie on the approximated surface is not enough to ensure an accurate approximation. German mathematician Hermann Schwarz (1843–1921) devised his construction in the late 19th century as a counterexample to the erroneous definition in J. A. Serret's 1868 book , which incorrectly states that: Independently of Schwarz, Giuseppe Peano found the same counterexample. At the time, Peano was a student of Angelo Genocchi, who, from communication with Schwarz, already knew about the difficulty of defining surfa
https://en.wikipedia.org/wiki/J%C3%B3zsef%20Solymosi
József Solymosi is a Hungarian-Canadian mathematician and a professor of mathematics at the University of British Columbia. His main research interests are arithmetic combinatorics, discrete geometry, graph theory, and combinatorial number theory. Education and career Solymosi earned his master's degree in 1999 under the supervision of László Székely from the Eötvös Loránd University and his Ph.D. in 2001 at ETH Zürich under the supervision of Emo Welzl. His doctoral dissertation was Ramsey-Type Results on Planar Geometric Objects. From 2001 to 2003 he was S. E. Warschawski Assistant Professor of Mathematics at the University of California, San Diego. He joined the faculty of the University of British Columbia in 2002. He was editor in chief of the Electronic Journal of Combinatorics from 2013 to 2015. Contributions Solymosi was the first online contributor to the first Polymath Project, set by Timothy Gowers to find improvements to the Hales–Jewett theorem. One of his theorems states that if a finite set of points in the Euclidean plane has every pair of points at an integer distance from each other, then the set must have a diameter (largest distance) that is linear in the number of points. This result is connected to the Erdős–Anning theorem, according to which an infinite set of points with integer distances must lie on one line. In connection with the related Erdős–Ulam problem, on the existence of dense subsets of the plane for which all distances are rational numbers, Solymosi and de Zeeuw proved that every infinite rational-distance set must either be dense in the Zariski topology or it must have all but finitely many of its points on a single line or circle. With Terence Tao, Solymosi proved a bound of on the number of incidences between points and affine subspaces of any finite-dimensional Euclidean space, whenever each pair of subspaces has at most one point of intersection. This generalizes the Szemerédi–Trotter theorem on points and lines in the Euclidean plane, and because of this the exponent of cannot be improved. Their theorem solves (up to the in the exponent) a conjecture of Toth, and was inspired by an analogue of the Szemerédi–Trotter theorem for lines in the complex plane. He has also contributed improved bounds for the Erdős–Szemerédi theorem, showing that every set of real numbers has either a large set of pairwise sums or a large set of pairwise products, and for the Erdős distinct distances problem, showing that every set of points in the plane has many different pairwise distances. Recognition In 2006, Solymosi received a Sloan Research Fellowship and in 2008 he was awarded the André Aisenstadt Mathematics Prize. In 2012 he was named a doctor of the Hungarian Academy of Science. Selected publications References External links Home page Year of birth missing (living people) Living people Canadian mathematicians 20th-century Hungarian mathematicians 21st-century Hungarian mathematicians Eötvös Loránd Univ
https://en.wikipedia.org/wiki/Kiki%20Bertens%20career%20statistics
This is a list of the main career statistics of professional Dutch tennis player Kiki Bertens. Performance timelines Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records. Singles Current through Tennis at the 2020 Summer Olympics. Doubles Notes Significant finals WTA Tour Championships Doubles: 1 (runner-up) WTA Elite Trophy Singles: 1 (runner-up) Premier Mandatory & Premier 5 tournaments Singles: 3 (2 titles, 1 runner-up) WTA career finals Singles: 15 (10 titles, 5 runner-ups) Doubles: 16 (10 titles, 6 runner-ups) ITF Circuit finals Singles: 11 (7 titles, 4 runner–ups) Doubles: 13 (11 titles, 2 runner–ups) Career Grand Slam statistics Seedings The tournaments won by Bertens are in boldface, and advanced into finals by Bertens are in italics. Head-to head records No. 1 wins Record against top 10 players Bertens' match record against players who have been ranked in the top 10, with those who are active in boldface. Top 10 wins Longest winning streaks 10–match (12 with qualifiers) singles winning streak (2016) References External links Tennis career statistics
https://en.wikipedia.org/wiki/Deinner%20Qui%C3%B1ones
Deinner Alexander Quiñones Quiñones (born August 16, 1995), is a Colombian professional footballer who plays as a midfielder for Deportivo Independiente Medellin . Career statistics References External links Deinner Quiñones at Milenio: Santos Laguna 1995 births Living people Footballers from Tumaco Santos Laguna footballers Men's association football midfielders Colombian men's footballers Categoría Primera A players Categoría Primera B players Liga MX players Universitario Popayán footballers Deportes Quindío footballers Deportes Tolima footballers Jaguares de Córdoba footballers Independiente Medellín footballers Atlético Nacional footballers América de Cali footballers Colombian expatriate men's footballers Expatriate men's footballers in Mexico
https://en.wikipedia.org/wiki/V-topology
In mathematics, especially in algebraic geometry, the v-topology (also known as the universally subtrusive topology) is a Grothendieck topology whose covers are characterized by lifting maps from valuation rings. This topology was introduced by and studied further by , who introduced the name v-topology, where v stands for valuation. Definition A universally subtrusive map is a map f: X → Y of quasi-compact, quasi-separated schemes such that for any map v: Spec (V) → Y, where V is a valuation ring, there is an extension (of valuation rings) and a map Spec W → X lifting v. Examples Examples of v-covers include faithfully flat maps, proper surjective maps. In particular, any Zariski covering is a v-covering. Moreover, universal homeomorphisms, such as , the normalisation of the cusp, and the Frobenius in positive characteristic are v-coverings. In fact, the perfection of a scheme is a v-covering. Voevodsky's h topology See h-topology, relation to the v-topology Arc topology have introduced the arc-topology, which is similar in its definition, except that only valuation rings of rank ≤ 1 are considered in the definition. A variant of this topology, with an analogous relationship that the h-topology has with the cdh topology, called the cdarc-topology was later introduced by Elmanto, Hoyois, Iwasa and Kelly (2020). show that the Amitsur complex of an arc covering of perfect rings is an exact complex. See also List of topologies on the category of schemes References Algebraic geometry
https://en.wikipedia.org/wiki/Daniela%20Witten
Daniela M. Witten is an American biostatistician. She is a professor and the Dorothy Gilford Endowed Chair of Mathematical Statistics at the University of Washington. Her research investigates the use of machine learning to understand high-dimensional data. Early life and education Witten studied mathematics and biology at Stanford University, graduating in 2005. She remained there for her postgraduate research, earning a master's degree in statistics in 2006. She was awarded the American Statistical Association Gertrude Mary Cox Scholarship in 2008. Her doctoral thesis, A penalized matrix decomposition, and its applications was supervised by Robert Tibshirani. She worked with Trevor Hastie on canonical correlation analysis. She co-authored An Introduction to Statistical Learning in 2013. Research and career Witten applies statistical machine learning to personalised medical treatments and decoding the genome. She uses machine learning to analyse data sets in neuroscience and genomics. She is worried about increasing amounts of data in biomedical sciences. She was appointed to the University of Washington as Genentech Endowed Professor in 2010. Witten contributed to the 2012 report Evolution of Translational Omics, which provided best practise in translating omics research into a clinic. She is an associate editor for the Journal of the American Statistical Association. Recognition She was elected as a Fellow of the American Statistical Association in 2020. She was named to the 2022 class of Fellows of the Institute of Mathematical Statistics, for "substantial contributions to the field of statistical machine learning, with applications to biology; and for communicating the fundamental ideas in the field to a broad audience". She was awarded an NIH Director's Early Independence Award in 2011. She was awarded the American Statistical Association David P. Byar Young Investigator Award for her work Penalized Classification Using Fisher’s Linear Discriminant in 2011. Her book An Introduction to Statistical Learning won a Technometrics Ziegel Award in 2014. She won an Elle magazine Genius Award in 2012. In 2013 she won an Alfred P. Sloan Foundation Fellowship. She was named in the Forbes 30 Under 30 Science & Healthcare category in 2012, 2013 and 2014. In 2015 Witten was awarded the Texas A&M University Raymond J. Carroll Young Investigator Award. In 2018, she was named a Simons Foundation Investigator, and in 2022, she received the COPSS Presidents' Award. Personal life Daniela is the younger sister of Ilana B. Witten, the older sister of Rafael Witten, and the daughter of the physicists Chiara Nappi and Edward Witten. She is married to software engineer Ari Steinberg. References Women statisticians American statisticians Stanford University alumni University of Washington faculty Biostatisticians American science writers Fellows of the American Statistical Association Fellows of the Institute of Mathematical Statistics Living people Y
https://en.wikipedia.org/wiki/European%20Women%20in%20Mathematics
European Women in Mathematics (EWM) is an international association of women working in the field of mathematics in Europe. The association participates in political and strategic work to promote the role of women in mathematics and offers its members direct support. Its goals include encouraging women to study mathematics and providing visibility to women mathematicians. It is the "first and best known" of several organizations devoted to women in mathematics in Europe. Mission European Women in Mathematics aims to encourage women to study mathematics, support women in their careers, provide a meeting place for like-minded people and highlight and make women mathematicians visible. In this way, and by promoting scientific communication and working with groups and organisations with similar goals, they spread their vision of mathematics and science. Mentorship EWM has a mentoring programme which can be joined at any time of the year. EWM brings together a younger and a more experienced member to share different experiences and perspectives for motivation and inspiration. Grants EWM awards travel grants for female mathematicians every year. The travel grants are awarded to EWM members who are at an early stage of their career or work in a developing country and who need financial resources (travel and/or accommodation, up to 400 EUR) to attend and speak at an important conference in their field of expertise. Regular Activities Every other year, EWM holds a general meeting and a summer school. A newsletter is published at least twice a year, EWM has a website, a facebook group and an e-mail network. EWM coordinates a mentoring programme and awards a travel grant twice a year. General Meetings EWM hold a General Meeting every other year in the form of a week-long conference with a scientific program of mini-courses on mathematical topics, discussions on the situation of women in the field and a General Assembly. General meetings have been held in Paris (1986), Copenhagen (1987), Warwick (1988), Lisbon (1990), Marseilles (1991), Warsaw (1993), Madrid (1995), Trieste ICTP (1997), Hannover (1999), Malta (2001), Luminy (2003), Volgograd (2005), Cambridge (2007), Novi Sad (2009), Barcelona (2011), Bonn (2013), Cortona (2015), and Graz (2018). Activities at international conferences EWM holds satellite conferences to the European Congress in Mathematics and takes part in ICWM International Conference of Women in Mathematics, International Congress of Women Mathematicians and now World Meeting for Women Mathematicians. History Although the group that became EWM began holding informal meetings as early as 1974, EWM was founded as an organization in 1986 by Bodil Branner, Caroline Series, Gudrun Kalmbach, Marie-Françoise Roy, and Dona Strauss, inspired by the activities of the Association for Women in Mathematics in the USA. It was established as an association under Finnish law in 1993 with its seat in Helsinki. In fact, the basic structure
https://en.wikipedia.org/wiki/Karol%20Fila
Karol Fila (born 13 June 1998) is a Polish professional footballer who plays as a right-back for French club Strasbourg. Career statistics Notes Honours Lechia Gdańsk Polish Cup: 2018–19 Polish Super Cup: 2019 References External links 1998 births Living people Polish men's footballers Poland men's under-21 international footballers Men's association football defenders Lechia Gdańsk players Chojniczanka Chojnice players RC Strasbourg Alsace players S.V. Zulte Waregem players Ekstraklasa players I liga players Ligue 1 players Belgian Pro League players Polish expatriate men's footballers Expatriate men's footballers in France Expatriate men's footballers in Belgium Polish expatriate sportspeople in France Polish expatriate sportspeople in Belgium Footballers from Gdańsk
https://en.wikipedia.org/wiki/Ronaldo%20Prieto
Ronaldo De Jesús Prieto Ramírez (born 3 March 1997) is a Mexican professional footballer who plays as a midfielder for Liga MX club Santos Laguna. Career statistics Club References 1997 births Living people Men's association football defenders Mexican men's footballers C.D. Veracruz footballers Albinegros de Orizaba footballers C.D.S. Tampico Madero footballers Santos Laguna footballers Liga MX players Ascenso MX players Footballers from Veracruz People from Santiago Tuxtla
https://en.wikipedia.org/wiki/Alexandra%20Silva
Alexandra Silva (born 1984) is a Portuguese computer scientist and Professor at Cornell University. She was previously Professor of Algebra, Semantics, and Computation at University College London. Awards and honours Silva won a Philip Leverhulme Prize in engineering in 2016. She won the Presburger Award, awarded each year to "a young scientist for outstanding contributions in theoretical computer science, documented by a published paper or a series of published papers", in 2017, and the Roger Needham Award in 2018. References 1984 births Living people Portuguese computer scientists Portuguese women computer scientists Women logicians University of Minho alumni
https://en.wikipedia.org/wiki/Kengo%20Ota
is a Japanese football player for Veertien Mie. Career After attending Osaka University of Health and Sport Sciences, Ota joined Grulla Morioka in January 2018. Club statistics Updated to February 2nd, 2020. References External links Profile at J. League Profile at Iwate Grulla Morioka 1995 births Living people Osaka University of Health and Sport Sciences alumni Japanese men's footballers J3 League players Japan Football League players Iwate Grulla Morioka players Veertien Mie players Men's association football defenders Association football people from Kawasaki, Kanagawa
https://en.wikipedia.org/wiki/Nissan%20Deliatitz
Nissan ben Avraham Deliatitz () was a 19th-century Russian rabbi and mathematician. He wrote Keneh Ḥokhmah, a manual of algebra in five parts, published in Vilna and Grodno in 1829. The work received approbations from Rabbi David, the av beit din of Novhardok, and Rabbi Avraham Abele ben Avraham Shlomo Poswoler, an eminent scholar who headed the Vilna beit din. References Mathematicians from the Russian Empire Algebraists Rabbis from the Russian Empire Jewish scientists
https://en.wikipedia.org/wiki/Tomoya%20Fukumoto
is a Japanese professional footballer for Fagiano Okayama. Club career After attending Funabashi Municipal High School, Fukumoto signed for Fagiano Okayama for 2018 season. Club statistics Updated to 29 August 2018. References External links Profile at J. League 1999 births Living people Association football people from Kanagawa Prefecture Japanese men's footballers Fagiano Okayama players J2 League players Men's association football forwards
https://en.wikipedia.org/wiki/Ryo%20Hasegawa
is a Japanese football player for Kochi United SC. Career After attending Funabashi Municipal High School, Hasegawa joined Mito HollyHock in October 2017 for the successive season. Club statistics Updated to end of 2020 season. References External links Profile at J. League Profile at Mito HollyHock 1999 births Living people Association football people from Tokyo Japanese men's footballers J2 League players J3 League players Mito HollyHock players Azul Claro Numazu players Men's association football goalkeepers
https://en.wikipedia.org/wiki/Shohei%20Mishima
is a Japanese football player for Roasso Kumamoto. Career Mishima attended Chuo University despite a strong interest from Shimizu S-Pulse and then joined FC Gifu for 2018 season. Club statistics Updated to 29 August 2018. References External links Profile at J. League Profile at FC Gifu 1995 births Living people Association football people from Gifu Prefecture Japanese men's footballers J2 League players J3 League players FC Gifu players Roasso Kumamoto players Men's association football midfielders
https://en.wikipedia.org/wiki/Shuto%20Kitagawa
is a Japanese football player for Thespakusatsu Gunma. Career After attending University of Tsukuba, Kitagawa joined Montedio Yamagata in January 2018. Club statistics Updated to end of 2018 season. References External links Profile at J. League Profile at Montedio Yamagata 1995 births Living people Association football people from Mie Prefecture Japanese men's footballers J2 League players J3 League players Montedio Yamagata players Giravanz Kitakyushu players Thespakusatsu Gunma players Men's association football forwards
https://en.wikipedia.org/wiki/Shunya%20Mori
is a Japanese football player for Zweigen Kanazawa. Career After attending Juntendo University, Mori joined Zweigen Kanazawa and debuted against Omiya Ardija. Club statistics Updated to 8 July 2019. References External links Profile at J. League Profile at Zweigen Kanazawa 1995 births Living people Association football people from Toyama Prefecture Japanese men's footballers J1 League players J2 League players Zweigen Kanazawa players Shonan Bellmare players Men's association football defenders
https://en.wikipedia.org/wiki/Shuta%20Doi
is a Japanese football player for Machida Zelvia. Career After playing for the football team of Meiji University, Doi joined Machida Zelvia in late 2017. Club statistics Updated to 29 August 2018. References External links Profile at J. League Profile at Machida Zelvia 1996 births Living people Association football people from Saitama Prefecture Japanese men's footballers J2 League players FC Machida Zelvia players Men's association football midfielders
https://en.wikipedia.org/wiki/Kakutani%27s%20theorem%20%28measure%20theory%29
In measure theory, a branch of mathematics, Kakutani's theorem is a fundamental result on the equivalence or mutual singularity of countable product measures. It gives an "if and only if" characterisation of when two such measures are equivalent, and hence it is extremely useful when trying to establish change-of-measure formulae for measures on function spaces. The result is due to the Japanese mathematician Shizuo Kakutani. Kakutani's theorem can be used, for example, to determine whether a translate of a Gaussian measure is equivalent to (only when the translation vector lies in the Cameron–Martin space of ), or whether a dilation of is equivalent to (only when the absolute value of the dilation factor is 1, which is part of the Feldman–Hájek theorem). Statement of the theorem For each , let and be measures on the real line , and let and be the corresponding product measures on . Suppose also that, for each , and are equivalent (i.e. have the same null sets). Then either and are equivalent, or else they are mutually singular. Furthermore, equivalence holds precisely when the infinite product has a nonzero limit; or, equivalently, when the infinite series converges. References (See Theorem 2.12.7) Probability theorems Theorems in measure theory
https://en.wikipedia.org/wiki/3Blue1Brown
3Blue1Brown is a math YouTube channel created and run by Grant Sanderson. The channel focuses on teaching higher mathematics from a visual perspective, and on the process of discovery and inquiry-based learning in mathematics, which Sanderson calls "inventing math". , the channel has 5.47 million subscribers. Grant Sanderson Early life and education Sanderson graduated from Stanford University in 2015 with a bachelor's degree in mathematics. He worked for Khan Academy from 2015 to 2016 as part of their content fellowship program, producing videos and articles about multivariable calculus, after which he started focusing his full attention on 3Blue1Brown. Career In 2020, Grant Sanderson became one of the creators and lecturers of the MIT course Introduction to Computational Thinking, together with Alan Edelman, David Sanders, James Schloss, and Benoit Forget. The course uses the Julia programming language and Grant Sanderson's animations to explain various topics: convolutions, image processing, COVID-19 data visualization, epidemic modelling, ray tracing, introduction to climate modelling, ocean modelling, and the algorithms that lie behind these topics. In February 2022, Sanderson determined that the best starting word on the game Wordle was CRANE using information theory. Later, he stated that the code he wrote to determine the best starting word had a bug in it, and the actual best word is SALET. In January 2020, Sanderson delivered a talk in An Evening with Grant Sanderson, hosted by the Stanford Speakers Bureau. Sanderson offered his perspective on engaging with math: instead of prioritizing usefulness, he emphasizes emotion, wonder and imagination. He aims to "bring life to math" with visuals, graphics, and animations. In August 2021, Sanderson was one of several featured speakers at SIGGRAPH 2021. In November 2022, Sanderson delivered a keynote speech, "What can algorithms teach us about education?", at the 17th Dutch National Informatics Congress CelerIT hosted by Stichting Nationaal Informatica Congres (SNiC). Sanderson offered his perspective on how mathematics education should evolve in the future and related his findings with the way neural networks learn, he emphasizes the need for students to grasp concepts and understand them. Origin 3Blue1Brown started as a personal programming project in early 2015. In an episode of the podcast Showmakers, Sanderson explained that he wanted to practice his coding skills and decided to make a graphics library in Python, which eventually became the open-source project, Manim (Mathematical Animation engine). To have a goal for the project, he decided to create a video with the library and upload it to YouTube. On March 4, 2015, he uploaded his first video. He started to publish more videos and to improve the graphics tool. Videos, podcasts and other media 3Blue1Brown videos are themed around visualizing math, including pure math such as number theory and topology as well as more applied top
https://en.wikipedia.org/wiki/Daiki%20Hotta
is a Japanese footballer who plays as a goalkeeper for club Fagiano Okayama. Career After attending Tokai University, Hotta joined Fukushima United FC in January 2017. Club statistics . References External links Profile at J. League Profile at Fukushima United FC 1994 births Living people Tokai University alumni Association football people from Miyagi Prefecture Japanese men's footballers J2 League players J3 League players Vegalta Sendai players Fukushima United FC players Shonan Bellmare players Zweigen Kanazawa players Fagiano Okayama players Men's association football goalkeepers
https://en.wikipedia.org/wiki/Hiroto%20Sese
is a Japanese footballer playing for Gainare Tottori. Career Sese has grown through Gainare Tottori youth ranks, then he got promoted to the top team in January 2018. Club statistics Updated to 29 August 2018. References External links Profile at J. League Profile at Gainare Tottori 1999 births Living people Association football people from Tottori Prefecture Japanese men's footballers J3 League players Gainare Tottori players Men's association football midfielders
https://en.wikipedia.org/wiki/Sota%20Sato
is a Japanese football player for Giravanz Kitakyushu. Career After attending Nissho Gakuen High School, Nakayama joined Giravanz Kitakyushu in December 2017. Club statistics Updated to 29 August 2018. References External links Profile at J. League Profile at Giravanz Kitakyushu 1999 births Living people Association football people from Miyazaki Prefecture Japanese men's footballers J2 League players J3 League players Giravanz Kitakyushu players Men's association football forwards
https://en.wikipedia.org/wiki/Soya%20Fujiwara
is a Japanese football player for Albirex Niigata. Career After attending Hannan University, Nakayama joined Giravanz Kitakyushu in January 2018. Club statistics Updated to 2 May 2021. References External links Profile at J. League Profile at Giravanz Kitakyushu Profile at Albirex Niigata 1995 births Living people Hannan University alumni Association football people from Yamaguchi Prefecture Japanese men's footballers J2 League players J3 League players Giravanz Kitakyushu players Albirex Niigata players Men's association football midfielders People from Yamaguchi (city)
https://en.wikipedia.org/wiki/Masato%20Furukawa
is a Japanese football player for SC Sagamihara. Career After playing for the football team of the Tokyo International University, Furukawa joined SC Sagamihara in January 2018. Club statistics Updated to 29 August 2018. References External links Profile at J. League Profile at SC Sagamihara 1995 births Living people Association football people from Saga Prefecture Japanese men's footballers J3 League players SC Sagamihara players Men's association football defenders
https://en.wikipedia.org/wiki/Kosuke%20Nishi
is a Japanese football player for Kataller Toyama. Career After rising through Kataller Toyama youth ranks, Nishi was promoted to the top team in December 2016. Club statistics Updated to 29 August 2018. References External links Profile at J. League Profile at Kataller Toyama 1998 births Living people Association football people from Toyama Prefecture Japanese men's footballers J3 League players Kataller Toyama players Men's association football forwards People from Toyama (city)
https://en.wikipedia.org/wiki/August%20Gutzmer
Karl Friedrich August Gutzmer (2 February 1860 – 10 May 1924) was a German mathematician who was chairman of some German commissions about improvement of the teaching of mathematics. Life and work Gutzmer was born near Schwerin but his family moved to Berlin when he was eight years old. In Berlin he studied in Friedrichswerdersche Gymnasium till 1881. From 1881 to 1884 he attended mathematics lectures at Berlin University despite not being registered as a student. He graduated in 1887 in Berlin. He began his academic career publishing five articles in the Portuguese journal Jornal de Sciencias mathematicas e astronomicas (best known as Teixeira's Journal) between 1887 and 1890. In 1893 he was awarded a doctorate submitting at the University of Halle a dissertation about certain partial differential equations. Married in the same year, he left his academic career to manage his wife's lands. In 1894 he returned to teaching at the Technical University of Berlin and the following year he obtained his venia legendi at the University of Halle where he taught as assistant professor till 1899. From 1900 to 1905 he was full professor at the University of Jena. In 1905 he returned to Halle University succeeding Georg Cantor, where he remained till his death in 1924. He was rector of the university (1914–1915), chairman of the German Committee for Mathematical and Scientific Teaching (1908–1913), member of the Academy of Sciences Leopoldina from 1900 and his president from 1922 to 1924. At the International Congress of Mathematicians he was an invited speaker in 1904 in Heidelberg and in 1908 in Rome. Gutzmer published more than forty works; among them, the reports about the activities of the teaching committee are specially relevant. He also wrote a history of the German Mathematical Society. References Bibliography Daum, Andreas. Wissenschaftspopularisierung im 19. Jahrhundert: Bürgerliche Kultur, naturwissenschaftliche Bildung und die deutsche Öffentlichkeit, 1848–1914. Munich: Oldenbourg, 1998, . External links 19th-century German mathematicians 20th-century German mathematicians 1860 births 1924 deaths
https://en.wikipedia.org/wiki/List%20of%20American%20Physical%20Society%20prizes%20and%20awards
The American Physical Society gives out a number of awards for research excellence and conduct; topics include outstanding leadership, computational physics, lasers, mathematics, and more. Prizes David Adler Lectureship Award in the Field of Materials Physics The David Adler Lectureship Award in the Field of Materials Physics is a prize that has been awarded annually by the American Physical Society since 1988. The recipient is chosen for being "an outstanding contributor to the field of materials physics, who is noted for the quality of his/her research, review articles and lecturing." The prize is named after physicist David Adler with contributions to the endowment by friends of David Adler and Energy Conversion Devices, Inc. The winner receives a $5,000 honorarium. Will Allis Prize for the Study of Ionized Gases Will Allis Prize for the Study of Ionized Gases is awarded biannually "for outstanding contributions to understanding the physics of partially ionized plasmas and gases" in honour of Will Allis. The $10000 prize was founded in 1989 by contributions from AT&T, General Electric, GTE, International Business Machines, and Xerox Corporations. Early Career Award for Soft Matter Research This award recognizes outstanding and sustained contributions by an early-career researcher to the soft matter field. LeRoy Apker Award The LeRoy Apker Award was established in 1978 to recognize outstanding achievements in physics by undergraduate students. Two awards are presented each year, one to a student from a Ph.D. granting institution, and one to a student from a non-Ph.D. granting institution. APS Medal for Exceptional Achievement in Research The APS Medal for Exceptional Achievement in Research was established in 2016 to recognize contributions of the highest level that advance our knowledge and understanding of the physical universe. The medal carries with it a prize of $50,000 and is the largest APS prize to recognize the achievement of researchers from across all fields of physics. It is funded by a generous donation from Jay Jones, entrepreneur. Recipients to date are Edward Witten (2016), Daniel Kleppner (2017), Eugene Parker (2018), Bertrand Halperin (2019), Myriam Sarachik (2020), Gordon Baym (2021) and Elliott H. Lieb (2022). Hans A. Bethe Prize The Hans Bethe Prize is presented annually to recognize outstanding work in theory, experiment or observation in the areas of astrophysics, nuclear physics, nuclear astrophysics, or closely related fields. The prize was first awarded in 1998. Tom W. Bonner Prize in Nuclear Physics The Tom W. Bonner Prize in Nuclear Physics is an annual prize awarded by the Division of Nuclear Physics to recognize outstanding experimental research in nuclear physics. It was established in 1964. Edward A. Bouchet Award The Edward A. Bouchet Award was established in 1994 by the APS Committee on Minorities in physics to recognize and honor distinguished underrepresented minority physics researchers who have m
https://en.wikipedia.org/wiki/Pauline%20Janson
Pauline Janson (born 26 November 1957) is a former British rower who competed at the 1980 Summer Olympics. Rowing career Janson took up rowing while studying mathematics at St Hilda's College, Oxford and became Captain of Boats before rowing in the 1978 and 1979 women's boat race in 1978 and 1979. After joining the British training squad in 1980 she was selected to represent Great Britain women's coxed four event at the 1980 Olympic Games in Moscow. The team which consisted of Janson, Bridget Buckley, Pauline Hart, Jane Cross and Sue Brown (cox) finished in sixth place. She was part of the eight, that won the national title rowing for Great Britain senior squad boat, at the 1981 National Championships and rowed in the eight at the 1981 World Rowing Championships in Munich and in the eight at the 1982 World Rowing Championships in Lucerne. She was part of the eight that won the national title, rowing for an A.R.A squad, at the 1982 National Rowing Championships. References External links 1957 births Living people British female rowers Olympic rowers for Great Britain Rowers at the 1980 Summer Olympics Sportspeople from Blackpool
https://en.wikipedia.org/wiki/Haroune%20Camara
Haroune Moussa Camara (; born 1 January 1998) is a Saudi Arabian professional footballer of Guinean origin, who plays as a striker for Al-Ittihad in the Saudi Professional League. Career statistics Club International Honours Al-Ittihad Saudi Professional League: 2022–23 Saudi Super Cup: 2022 External links References 1998 births Living people Footballers from Riyadh Men's association football forwards Saudi Arabian men's footballers Saudi Arabia men's youth international footballers Saudi Arabia men's international footballers Al Qadsiah FC players Al-Ittihad Club (Jeddah) players Saudi Pro League players Footballers at the 2018 Asian Games Asian Games competitors for Saudi Arabia 21st-century Saudi Arabian people Naturalised citizens of Saudi Arabia
https://en.wikipedia.org/wiki/Marian%20P.%20Roque
Marian P. Roque is a Filipina mathematician. She was the president of the Mathematical Society of the Philippines, a professor in the Institute of Mathematics of the University of the Philippines Diliman, and former Director of the Institute of Mathematics. Her mathematical specialty is the theory of partial differential equations. Roque's interest in a career in Mathematics began in her grade school participation in the first National Quiz Bee. She continued her studies in mathematics at the University of the Philippines Diliman, where she earned her bachelor's (1986), master's (1989), and doctoral degrees (1996). Through the Sandwich Scholarship Program, she did her research work for her dissertation at the University of Essen, where she studied under Bernd Schultze. While studying in Germany, she faced discrimination due to her gender and nationality. She then completed a postdoctoral fellowship at Waseda University. With Doina Cioranescu and Patrizia Donato, she is the author of An Introduction to Second Order Partial Differential Equations: Classical and Variational Solutions (World Scientific, 2018). Awards 2012: Gawad Tsanselor para sa Natatanging Guro 2014-2016: UP Scientist 2016: National Research Council of the Philippines Outstanding Achievement Award. References Filipino mathematicians Women mathematicians Academic staff of the University of the Philippines Diliman Year of birth missing (living people) Living people
https://en.wikipedia.org/wiki/Mari-Jo%20P.%20Ruiz
Mari-Jo P. Ruiz (1943–2022) was a Filipina mathematician and professor of mathematics at Ateneo de Manila University. Ruiz specialized in graph theory and operations research. Education and career Ruiz grew up in Manila, and was educated at College of the Holy Spirit Manila. She graduated from Marymount Manhattan College in New York City in 1963, and soon afterward completed a master's degree at New York University. She joined the Ateneo de Manila faculty in 1965, eight years before the school began accepting women as students. She chose academia over a competing job offer from industry because at the time it paid slightly better. She acquired the nickname "Mustang Mary" at this time, because of the Ford Mustang that she drove. Ruiz completed her PhD at Ateneo in 1981. At Ateneo, she served as chair of mathematics, chair of management engineering, dean of arts and sciences, and trustee. She retired to become a professor emeritus in 2009. She died on 29 December 2022 at the age of 79. Book With Jin Akiyama, she was the author of the book A Day’s Adventure in Math Wonderland (World Scientific, 2008; translated into 7 other languages). Recognition The College of the Holy Spirit Alumnae Foundation gave Ruiz their Distinguished Alumna in Education Award in 2001. In 2014, Ateneo gave Ruiz their Lux-in-Domino Award. References 1943 births 2022 deaths 21st-century Filipino mathematicians Women mathematicians Marymount Manhattan College alumni New York University alumni Ateneo de Manila University alumni Academic staff of Ateneo de Manila University 20th-century Filipino mathematicians
https://en.wikipedia.org/wiki/1970%E2%80%9371%20Galatasaray%20S.K.%20season
The 1970–71 season was Galatasaray's 67th in existence and the 13th 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) 2nd round 1/4 Final Süper Kupa Kick-off listed in local time (EET) Friendly matches TSYD Kupası Attendance References Tuncay, Bülent (2002). Galatasaray Tarihi. Yapı Kredi Yayınları External links Galatasaray Sports Club Official Website Turkish Football Federation – Galatasaray A.Ş. uefa.com – Galatasaray AŞ Galatasaray S.K. (football) seasons Turkish football clubs 1970–71 season Turkish football championship-winning seasons 1970s in Istanbul
https://en.wikipedia.org/wiki/Daniel%20Zelinsky
Daniel Zelinsky (22 November 1922, Chicago – 16 September 2015) was an American mathematician, specializing in algebra. Zelinsky studied at the University of Chicago with bachelor's degree in 1941. From 1941 to 1943 he was a research mathematician in Columbia University's applied mathematics group, in which he was the youngest member. He was from 1943 to 1944 an instructor at the University of Chicago, where he received in 1943 his PhD under A. A. Albert with thesis Integral sets of quasiquaternion algebras. Zelinsky worked from 1944 to 1946 for the applied mathematics group of Columbia University and from 1946 to 1947 as an instructor at the University of Chicago. From 1947 to 1949 he was at the Institute for Advanced Study as a National Research Council Fellow. At Northwestern University he became in 1949 an assistant professor, in the 1950s an associate professor, and in 1960 a full professor, retiring as professor emeritus in 1993. From 1975 to 1978 he was the chair of Northwestern University's mathematics department. He was a Guggenheim Fellow for the academic year 1955–1956, which he spent at the Institute for Advanced Study. He was a visiting academic in 1960 at the University of California, Berkeley, in 1963 at Florida State University, in 1970–1971 at the Hebrew University of Jerusalem, and in 1979 at the Tata Institute. He was a co-editor of the collected works of A. A. Albert. Zelinsky was elected a Fellow of the American Association for the Advancement of Science in 1983 and was the chair or co-chair of the Association's Section A from 1984 to 1987. His doctoral students include Andy Magid. Zelda Oser Zelinsky (1924–2015) was his wife; they married in September 1945. Upon his death he was survived by his widow, a daughter, two sons, and four grandchildren. Selected publications as editor: References 20th-century American mathematicians 21st-century American mathematicians University of Chicago alumni Northwestern University faculty Fellows of the American Association for the Advancement of Science 1922 births 2015 deaths Columbia University staff
https://en.wikipedia.org/wiki/Aidan%20Flanagan
Aidan Flanagan (born 1974) is an Irish retired hurler who played as a corner-forward for the Tipperary senior hurling team. Career statistics Honours Boherlahen–Dualla Tipperary Senior Hurling Championship (1): 1996 Tipperary All-Ireland Under-21 Hurling Championship (1): 1995 Munster Under-21 Hurling Championship (1): 1995 Fitzgibbon Cup with W.I.T. 1995 References External links Aidan Flanagan profile at the Tipp GAA Archives website 1974 births Living people Boherlahan-Dualla hurlers Tipperary inter-county hurlers Garda Síochána officers Police officers from County Tipperary
https://en.wikipedia.org/wiki/Yordan%20Tabov
Yordan Tabov (born 1946 in Sofia) is a Bulgarian mathematician with academic Degrees: Doctor of Pedagogical Sciences (2007), PhD in Mathematics (MGU, Moscow, 1974); he is also recipient of The Paul Erdős Award (for significant contributions in mathematical education). His research interests include differential equations, geometry, didactics of mathematics, informatics and applications of mathematics and computer methods in the humanities; the focus of his research activity during the last 20 years was namely the last of the fields mentioned above.   Besides he is also an amateur historian and supports the fringe views on the autochthonous origin of the Bulgarian people, espousing ideas similar to those of Gancho Tsenov. Organisational activity Vice President of the International City Tournament (since 1990) Member of the World Federation of Mathematical Race Awards (1992–1996) and (2000–2008) Chairman of the Jury of the Chernorizets Hrabar Mathematical Tournament (since 1991) Head of Mathematics and Informatics Training at IMI-BAS (1991–2008) Lecture Lectures at the Sofia University 1979–1989 Lectures at New Bulgarian University 1993–2009 Lectures at Burgas Free University 1995–2003 Participation in editorial choices Mathematics and Informatics (1984–2011); Indices of Mathematical Problems, Math Pro Press, USA (1994). Mathematics Competitions Enrichment Series, AICME, Australia (1993). Mathematics and Informatics Quarterly, SCT Publishing, Singapore (1991). (Editor-in-Chief 1991–2000) WENETS: Belogradchik Magazine for History, Culture and National Science. (2010) References 1946 births Living people 20th-century Bulgarian mathematicians 21st-century Bulgarian mathematicians Pseudohistorians
https://en.wikipedia.org/wiki/List%20of%20Doncaster%20Rovers%20F.C.%20records%20and%20statistics
Doncaster Rovers is an English football club formed in 1879. Honours League English third tier Champions: 2012–13 Play-off winners: 2007–08 — Northern half — Champions: 1934–35, 1946–47, 1949–50 — Runners up: 1937–38, 1938–39 English fourth tier Champions: 1965–66, 1968–69, 2003–04 Runners up: 1983–84 Promoted: 1980–81, 2016–17 English fifth tier Play-Off Winners: 2002–03 Midland Football League Champions: 1896–97, 1898–99 Runners up: 1900–01, 1922–23 Midland Alliance League Runners up: 1890–91 Yorkshire League Runners up: 1898–99 Cup Football League Trophy 2006–07 Sheffield and Hallamshire Senior Cup 1890–91, 1911–12, 2000–01, 2001–02 Sheffield and Hallamshire County Cup 1935–36, 1937–38, 1940–41, 1955–56, 1967–68, 1975–76, 1985–86 Conference Cup 1998–99, 1999–2000 Wharncliffe Charity Cup 1922–23 Club Highest overall League finish: 7th (25th overall), Division 2, 1901–02 season Record League victory: 10–0 v Darlington, Division 4, 25 January 1964 Record cup victory: 7–0 v Blyth Spartans, FA Cup first round, 27 November 1937 and v Chorley, FA Cup first round replay, 20 November 2018. Record defeat: 0–12 v Small Heath, Division 2, 11 April 1903 Record home attendance at Belle Vue: 37,149 vs Hull City, Division 3 (N), 2 October 1948 Record home attendance at Keepmoat Stadium: 15,001 vs Leeds Utd, League 1, 1 April 2008 Record League points: 92, Division 3, 2003–04 Record League goals: 123, Division 3 (N), 1946–47 Longest match: 3 hours 23 minutes (203 minutes) vs. Stockport County, 30 March 1946, also a world record. Players Appearances Record League appearances: James Coppinger, 607 Record appearances: James Coppinger, 688 Most consecutive League appearances: Bert Tindill, 139 (11 September 1948 – 24 November 1951) Longest serving: Walter Langton, 18 seasons Goalscorers A list of goalscorers who have scored 40 or more total goals. Ordered by total goals, then league goals, then ratios. . Record League goal-scorer: Tom Keetley, 180 league goals (1923 to 1929) Record goal-scorer: Tom Keetley, 186 goals in all competitions Highest League scorer in a season: Clarrie Jordan, 42 (Division 3 (N), 1946–47) Most goals in one match: Tom Keetley, 6 (in 7–4 league win at Ashington, 1928–29) Scoring in most consecutive games: Clarrie Jordan, 10 (1946–47) Most goals scored in their debut: Arnold Oxspring, 4 against Long Eaton Rangers in the Midland League Other Most international caps while at Rovers: Len Graham (14 caps for Northern Ireland) Youngest player: Alick Jeffrey (15 years, 229 days, 1954) Oldest player: John Ryan (52 years and 11 months, 2003) Record transfer fee paid: Billy Sharp £1,150,000 (to Sheffield United) Record fee received: Matthew Mills, £2,000,000 (from Reading) Inclusion criteria Statistics includes substitute appearances, but excludes wartime matches. Further information on competitions/seasons which are regarded as eligible for general statistics are provided below. League stats League sta
https://en.wikipedia.org/wiki/2018%E2%80%9319%20Real%20Sociedad%20season
The 2018–19 Real Sociedad season was the club's 72nd season in La Liga. This article shows player statistics and all matches (official and friendly) played by the club during the 2018–19 season. The season was the first since 2002-03 and 2004–05 without both veterans Xabi Prieto and Imanol Agirretxe, who mutually retired after the previous campaign's conclusion. Players Current squad Reserve team Out on loan Transfers In Out Competitions Overall La Liga League table Results summary Results by round Matches Copa del Rey Round of 32 Round of 16 Statistics Appearances and goals Last updated on 18 May 2019 |- ! colspan=14 style=background:#dcdcdc; text-align:center|Goalkeepers |- ! colspan=14 style=background:#dcdcdc; text-align:center|Defenders |- ! colspan=14 style=background:#dcdcdc; text-align:center|Midfielders |- ! colspan=14 style=background:#dcdcdc; text-align:center|Forwards |- |} Goalscorers References Real Sociedad seasons Real Sociedad 2018 in the Basque Country (autonomous community) 2019 in the Basque Country (autonomous community)
https://en.wikipedia.org/wiki/Weibel%27s%20conjecture
In mathematics, Weibel's conjecture gives a criterion for vanishing of negative algebraic K-theory groups. The conjecture was proposed by and proven in full generality by using methods from derived algebraic geometry. Previously partial cases had been proven by , , , , and . Statement of the conjecture Weibel's conjecture asserts that for a Noetherian scheme X of finite Krull dimension d, the K-groups vanish in degrees < −d: and asserts moreover a homotopy invariance property for negative K-groups References Algebraic geometry K-theory
https://en.wikipedia.org/wiki/Joe%20P.%20Buhler
Joe Peter Buhler (born 1950 in Vancouver, Washington) is an American mathematician known for his contributions to algebraic number theory, algebra and cryptography. Education and career Buhler received his undergraduate degree from Reed College in 1972, and his Ph.D. from Harvard University in 1977 with thesis Icosahedral Galois Representations and thesis advisor John Tate. Buhler was a professor at Reed College in Portland, Oregon from 1980 until his retirement in 2005. From 2004 to 2017, he was director of the IDA Center for Communications Research in La Jolla, California. In 1997, he introduced, with Zinovy Reichstein, the concept of essential dimension. Buhler is involved in a project to numerically verify the Kummer–Vandiver conjecture of Harry Vandiver and Ernst Eduard Kummer concerning the class number of cyclotomic fields. Vandiver proved it with a desk calculator up to class number 600, Derrick Lehmer (in the late 1940s) to about 5000, and Buhler with colleagues (in 2001) to 12 million. He continues the project with David Harvey and others. He was elected a Fellow of the American Mathematical Society in 2012. References External links Homepage photo and biography on the occasion of a lecture author's profile in the database zbMATH 20th-century American mathematicians 21st-century American mathematicians Reed College alumni Harvard University alumni Reed College faculty Fellows of the American Mathematical Society 1950 births Living people People from Vancouver, Washington
https://en.wikipedia.org/wiki/Anderson%E2%80%93Kadec%20theorem
In mathematics, in the areas of topology and functional analysis, the Anderson–Kadec theorem states that any two infinite-dimensional, separable Banach spaces, or, more generally, Fréchet spaces, are homeomorphic as topological spaces. The theorem was proved by Mikhail Kadec (1966) and Richard Davis Anderson. Statement Every infinite-dimensional, separable Fréchet space is homeomorphic to the Cartesian product of countably many copies of the real line Preliminaries Kadec norm: A norm on a normed linear space is called a with respect to a total subset of the dual space if for each sequence the following condition is satisfied: If for and then Eidelheit theorem: A Fréchet space is either isomorphic to a Banach space, or has a quotient space isomorphic to Kadec renorming theorem: Every separable Banach space admits a Kadec norm with respect to a countable total subset of The new norm is equivalent to the original norm of The set can be taken to be any weak-star dense countable subset of the unit ball of Sketch of the proof In the argument below denotes an infinite-dimensional separable Fréchet space and the relation of topological equivalence (existence of homeomorphism). A starting point of the proof of the Anderson–Kadec theorem is Kadec's proof that any infinite-dimensional separable Banach space is homeomorphic to From Eidelheit theorem, it is enough to consider Fréchet space that are not isomorphic to a Banach space. In that case there they have a quotient that is isomorphic to A result of Bartle-Graves-Michael proves that then for some Fréchet space On the other hand, is a closed subspace of a countable infinite product of separable Banach spaces of separable Banach spaces. The same result of Bartle-Graves-Michael applied to gives a homeomorphism for some Fréchet space From Kadec's result the countable product of infinite-dimensional separable Banach spaces is homeomorphic to The proof of Anderson–Kadec theorem consists of the sequence of equivalences See also Notes References . . Topological vector spaces Theorems in functional analysis Theorems in topology
https://en.wikipedia.org/wiki/Princeton%20University%20Department%20of%20Mathematics
The Princeton University Department of Mathematics is an academic department at Princeton University. Founded in 1760, the department has trained some of the world's most renowned and internationally recognized scholars of mathematics. Notable individuals affiliated with the department include John Nash, former faculty member and winner of the 1994 Nobel Memorial Prize in Economic Sciences; Alan Turing, who received his doctorate from the department; and Albert Einstein who frequently gave lectures at Princeton and had an office in the building. Fields Medalists associated with the department include Manjul Bhargava, Charles Fefferman, Gerd Faltings, Michael Freedman, Elon Lindenstrauss, Andrei Okounkov, Terence Tao, William Thurston, Akshay Venkatesh, and Edward Witten (who began graduate study in the mathematics department before transferring to the physics department). Many other Princeton mathematicians are noteworthy, including Ralph Fox, Donald C. Spencer, John R. Stallings, Norman Steenrod, John Tate, John Tukey, Arthur Wightman, and Andrew Wiles. Since 2012, the chair of the department has been David Gabai, who was awarded the Oswald Veblen Prize in Geometry in 2004 and was elected into the United States National Academy of Sciences in 2011. History The first courses in mathematics were offered in 1760 when undergraduates enrolled in classes such as algebra, trigonometry, geometry, and conic sections. Walter Minto was one of the earliest teachers of mathematics beginning in 1787. By the beginning of the twentieth century, the department became "one of the world's great centers of mathematical teaching and research." President Woodrow Wilson appointed Henry Burchard Fine as dean of the faculty in 1903 and later as the first chairman of the Department of Mathematics in 1905. The university invited a number of leading mathematics to conduct research at Princeton including Luther P. Eisenhart, Solomon Lefschetz, James W. Alexander II, James Jeans, J.H.M. Wedderburn, George David Birkhoff, Oswald Veblen. In 1928, Princeton created the first research professorship in mathematics in the United States. Research in the field of mathematics also continued to thrive when the Institute for Advanced Study (IAS) was founded in Princeton, New Jersey in 1930. Although the IAS and Princeton remain separate, they have continued to maintain close relations and collaborative projects thanks to their proximity to one another. Students and faculty are able to collaborate with IAS members and attend IAS seminar series. The political situation in Europe also caused an increased number of immigrants to enter the United States beginning in the 1930s. These scholars included Emil Artin, Valentine Bargmann, and William Feller. Others worked with both the then School of Mathematics and the Institute for Advanced Study to immigrate to the United States, including Albert Einstein, Hermann Weyl, Oskar Morgenstern, John von Neumann, Eugene Wigner, and Paul Erdős. Albe
https://en.wikipedia.org/wiki/Cantor%27s%20theorem%20%28disambiguation%29
Cantor's theorem is a fundamental result in mathematical set theory. Cantor's theorem may also refer to: Set theory Cantor–Bernstein theorem: cardinality of the class of countable order types equals the cardinality of the continuum Cantor–Bernstein–Schröder theorem: injections from A to B and from B to A imply a bijection between A and B Order theory and model theory Cantor's isomorphism theorem: every two countable dense unbounded linear orders are isomorphic Topology Cantor's intersection theorem: a decreasing nested sequence of non-empty compact sets has a non-empty intersection Heine–Cantor theorem: a continuous function on a compact space is uniformly continuous Cantor–Bendixson theorem: a closed set of a Polish space may be written uniquely as a disjoint union of a perfect set and a countable set See also Georg Cantor Cantor's diagonal argument Georg Cantor
https://en.wikipedia.org/wiki/Rudy%20Horne
Rudy Lee Horne (1968 – 2017) was an American mathematician and professor of mathematics at Morehouse College. He worked on dynamical systems, including nonlinear waves. He was the mathematics consultant for the film Hidden Figures. Early life and education Horne grew up in the south side of Chicago. His father worked at Sherwin-Williams. He graduated from Crete-Monee High School. He completed a double degree in mathematics and physics at the University of Oklahoma in 1991. He joined the University of Colorado Boulder for his postgraduate studies, earning a master's in physics in 1994 and in mathematics in 1996. He completed his doctorate, Collision induced timing jitter and four-wave mixing in wavelength division multiplexing soliton systems, in 2001 which was supervised by Mark J. Ablowitz. He was the first African American to graduate from the University of Colorado Boulder Department of Applied Mathematics. Career and research After completing his PhD, Horne had a position at the California State University, East Bay. before working as postdoctoral researcher at the University of North Carolina at Chapel Hill, with Chris Jones. Horne joined Florida State University in 2005. Horne joined Morehouse College in 2010 and was promoted to associate professor of mathematics in 2015. He continued to study four-wave mixing. His work considered nonlinear optical phenomena. He uncovered effects in parity-time symmetric systems. Horne was recommended to serve as a mathematics consultant for Hidden Figures by Morehouse College. He worked closely with Theodore Melfi ensured the actors knew how to pronounce "Euler's". He spent four months working with 20th Century Fox. In particular, Horne worked with Taraji P. Henson on the mathematics she required for her role as Katherine Johnson. He taught the cast how to get excited by mathematics. His handwriting is on screen during a scene at the beginning of the film where Katherine Johnson solves a quadratic equation. He appeared on the interview series In the Know. Horne completed a Mathematical Association of America Maths Fest tour where he discussed the mathematics in Hidden Figures, focusing on the calculations that concerned Glenn's orbit around in 1962. He appeared on NPR's Closer Look. He died on December 11, 2017 after surgery for a torn aorta. The University of Colorado Boulder established a Rudy Lee Horne Memorial Fellowship in his honour. He was described as a "rock star", inspiring generations of black students. He was awarded the National Association of Mathematicians (NAM) lifetime achievement award posthumously in 2018, and was recognized by Mathematically Gifted & Black as a Black History Month 2018 Honoree. References African-American mathematicians 1968 births 2017 deaths American mathematicians Morehouse College faculty University of Colorado Boulder alumni Florida State University faculty University of North Carolina at Chapel Hill faculty University of Oklahoma alumni California State U
https://en.wikipedia.org/wiki/Amy%20Shell-Gellasch
Amy Shell-Gellasch is a mathematician, historian of mathematics, and book author. She has written or edited the books Algebra in Context: Introductory Algebra from Origins to Applications (with J. B. Thoo, Johns Hopkins University Press, 2015) In Service to Mathematics: The Life and Work of Mina Rees (Docent Press, 2011) Mathematical Time Capsules: Historical Modules for the Mathematics Classroom (ed. with Dick Jardine, MAA Notes 77, Mathematical Association of America, 2010) Hands on History: A Resource for Teaching Mathematics (ed., MAA Notes 72, Mathematical Association of America, 2007) From Calculus to Computers: Using the Last 200 Years of Mathematics History in the Classroom (ed. with Dick Jardine, MAA Notes 68, Mathematical Association of America, 2005) Her article "The Spirograph & mathematical models from 19th-century Germany" (Math. Horizons 2015) was selected for inclusion in The Best Writing on Mathematics 2016. Shell-Gellasch earned a doctorate (D.A.) from the University of Illinois at Chicago in 2000, with a dissertation that became her book on Mina Rees. She is an associate professor of mathematics at Montgomery College in Maryland. She has also served as the archivist for the Canadian Society for History and Philosophy of Mathematics. References Year of birth missing (living people) Living people 21st-century women mathematicians American historians of mathematics University of Illinois Chicago alumni 21st-century American mathematicians American women mathematicians American women historians 21st-century American historians Montgomery College faculty American archivists 21st-century American women
https://en.wikipedia.org/wiki/Major%20League%20Baseball%20records
Major League Baseball records are the superlative statistics of Major League Baseball (MLB). These include: List of Major League Baseball career records List of Major League Baseball single-season records List of Major League Baseball single-game records List of Major League Baseball records considered unbreakable
https://en.wikipedia.org/wiki/Christian%20Krattenthaler
Christian Friedrich Krattenthaler (born 8 October 1958 in Vienna) is an Austrian mathematician. He is a professor of discrete mathematics (with a focus on combinatorics). From 2016 to 2020 he has been the Dean of the Faculty of Mathematics at the University of Vienna. He received his doctoral degree sub auspiciis Praesidentis rei publicae at the University of Vienna in 1983 under Johann Cigler with the dissertation Lagrangeformel und inverse Relationen (Lagrangian formula and inverse relations). Krattenthaler worked at various universities, including the University of California, San Diego, the Mathematical Sciences Research Institute in Berkeley, California, the University of Strasbourg, and the Claude Bernard University Lyon 1 before being appointed to a professorship at the University of Vienna in 2005. His area of specialization is the problems of combinatorial enumeration, such as those in algebra, algebraic geometry, number theory, computer science, or statistical physics. Krattenthaler won in 1990 the Prize of the Austrian Mathematical Society and in 2007 the Wittgenstein Award of the Austrian Science Fund. He was elected in 2005 a corresponding member of the Austrian Academy of Sciences, in 2011 a full member of the Academia Europaea, and in 2012 a Fellow of the American Mathematical Society. In 2015 he received a Docteur honoris causa from the Université Sorbonne Paris Nord. Krattenthaler is also a trained concert pianist. He studied piano at the (then) Hochschule für Musik und Darstellende Kunst Wien (today University of Music and Performing Arts Vienna) with Hans Graf. He completed his studies in 1986 with the concert diploma. Until 1991, he performed as soloist and chamber musician. Frequent chamber music partners were Bernhard Biberauer (violin), Alfred Hertel (oboe), Peter Siakala (violoncello), Anton Straka (violin), Herwig Tachezi (violoncello) and Thomas C. Wolf (violin). Krattenthaler terminated his concert activities in 1991 because of an irreversible chronic medical condition in both hands. References External links (2016 International Conference of Number Theory in honor of Krishna Alladi's 60th birthday) Austrian mathematicians University of Vienna alumni Academic staff of the University of Vienna Fellows of the American Mathematical Society Members of the Austrian Academy of Sciences Members of Academia Europaea 1958 births Living people
https://en.wikipedia.org/wiki/Ulrich%20Bapoh
Ulrich Bapoh Luic (born 29 June 1999) is a German professional footballer who plays as an attacking midfielder for Alemannia Aachen. He is the nephew of Samuel Eto'o. Career statistics References External links 1999 births Living people German men's footballers Men's association football midfielders Germany men's youth international footballers German people of Cameroonian descent VfL Bochum players FC Twente players VfL Osnabrück players Eerste Divisie players 2. Bundesliga players 3. Liga players German expatriate men's footballers German expatriate sportspeople in the Netherlands Expatriate men's footballers in the Netherlands
https://en.wikipedia.org/wiki/Jun-Muk%20Hwang
Jun-Muk Hwang (; born 27 October 1963) is a South Korean mathematician, specializing in algebraic geometry and complex differential geometry. Personal life Hwang is the eldest son of gayageum musician Hwang Byungki and novelist Han Malsook. Education and career Hwang studied physics at Seoul National University for his bachelors before studying physics at Harvard University. In 1993, he completed his PhD under the direction of Yum-Tong Siu with thesis Global nondeformability of the complex hyper quadric. In the following years he held positions at the University of Notre Dame, the Mathematical Sciences Research Institute, and Seoul National University. Since 1999, he was a professor at the Korea Institute for Advanced Study. He was in 2006 an invited speaker with talk Rigidity of rational homogeneous spaces at the International Congress of Mathematicians (ICM) in Madrid and in 2014 a plenary speaker with talk Mori geometry meets Cartan geometry: Varieties of minimal rational tangents at the ICM in Seoul. In 2020, he was the founding director of the Center for Complex Geometry at the Institute for Basic Science. In 2023, he was selected to be on the committee for the Abel Prize. Awards and honors 2021: National Academy of Sciences Award, National Academy of Sciences, South Korea 2012: Fellow, American Mathematical Society 2009: Ho-Am Prize in Science, Am Prize, The Ho Am Foundation 2007: Fellow, Korean Academy of Science and Technology 2006: Best Scientist-Engineer of Korea, Ministry of Science and Technology 2006: Scientist of the Year Award, Korean National Assembly 2001: Korea Science Award, Ministry of Science and Technology 2000: Award for Excellent Article, Korean Mathematical Society Selected publications References External links (Mori geometry meets Cartan geometry: Varieties of minimal rational tangents) 황준묵 대학교수 - Naver 인물검색 1963 births Living people Seoul National University alumni Harvard University alumni University of Notre Dame faculty Academic staff of Seoul National University 21st-century South Korean mathematicians Fellows of the American Mathematical Society Recipients of the Ho-Am Prize in Science 20th-century South Korean mathematicians
https://en.wikipedia.org/wiki/Toby%20Gee
Toby Stephen Gee (born 2 January 1980) is a British mathematician working in number theory and arithmetic aspects of the Langlands Program. He specialises in algebraic number theory. Gee was awarded the Whitehead Prize in 2012, the Leverhulme Prize in 2012, and was elected as a Fellow of the American Mathematical Society in 2014. Career Gee read mathematics at Trinity College, Cambridge, where he was Senior Wrangler in 2000. After completing his PhD with Kevin Buzzard at Imperial College in 2004, he was a Benjamin Peirce Assistant Professor at Harvard University until 2010. From 2010 to 2011 Gee was an assistant professor at Northwestern University, at which point he moved to Imperial College London, where he has been a professor since 2013. With Mark Kisin, he proved the Breuil–Mézard conjecture for potentially Barsotti–Tate representations, and with Thomas Barnet-Lamb and David Geraghty, he proved the Sato–Tate conjecture for Hilbert modular forms. One of his most influential ideas has been the introduction of a general 'philosophy of weights', which has immensely clarified some aspects of the emerging mod p Langlands philosophy. References External links Toby Gee's Professional Webpage Toby Gee's Curriculum Vitae 1980 births British mathematicians Alumni of Trinity College, Cambridge Whitehead Prize winners Fellows of the American Mathematical Society Living people Philip Leverhulme Prize winners
https://en.wikipedia.org/wiki/Hitoshi%20Ishii
Hitoshi Ishii (石井 仁司 Ishii Hitoshi, born in 12 October 1947),a Japanese mathematician,who is specialized in partial differential equations. He first studied physics and then mathematics at Waseda University with a master's degree in 1972 and a doctorate in 1975 with dissertation "" (translation: "Lp solvability and uniqueness of the initial value problem for partial differential equations"). He became an assistant professor at Chūō University in 1976 and in 1989 a full professor. In 1996, he became a professor at Tokyo Metropolitan University and in 2001, he became a professor at Waseda University. He studies nonlinear partial differential equations (PDEs) such as Hamilton–Jacobi equation, viscosity solutions of PDEs, optimal control theory, differential games, and evolution of surfaces. From 1987 to 1988, he was a visiting professor at Brown University, in 2011 at Collège de France, and in 2010 at University of Chicago. From 2011 to 2014 he was an adjunct professor at King Abdulaziz University. In 1994, He received the Autumn Prize from the Mathematical Society of Japan. In 2002, he was named to the Thomson ISI list of highly cited researchers in mathematics. He was an invited speaker with talk Asymptotic solutions for large time of Hamilton-Jacobi equations at the International Congress of Mathematicians in 2006 in Madrid. He was an invited speaker at the 7th International Congress on Industrial and Applied Mathematics (ICIAM) 2007 in Zurich. In 2012 he was elected a Fellow of the American Mathematical Society. Selected publications with Michael G. Crandall and Pierre-Louis Lions: User’s guide to viscosity solutions of second order partial differential equations. Bulletin AMS, vol. 27, 1992, 1–67 mit Pierre-Louis Lions: Viscosity solutions of fully nonlinear second-order elliptic partial differential equations. Journal of Differential Equations, vol. 83, 1990, 26–78 On uniqueness and existence of viscosity solutions of fully nonlinear second order elliptic PDE's. Communications on Pure and Applied Mathematics, vol. 42, 1989, 15–45 Perron’s method for Hamilton-Jacobi equations. Duke Math. J., vol. 55, 1987, 369–384 References External links Homepage with CV 20th-century Japanese mathematicians 21st-century Japanese mathematicians Waseda University alumni Academic staff of Chuo University Academic staff of Tokyo Metropolitan University Academic staff of Waseda University Fellows of the American Mathematical Society PDE theorists 1947 births Living people
https://en.wikipedia.org/wiki/Capped%20trigonal%20prismatic%20molecular%20geometry
In chemistry, the capped trigonal prismatic molecular geometry describes the shape of compounds where seven atoms or groups of atoms or ligands are arranged around a central atom defining the vertices of an augmented triangular prism. This shape has C2v symmetry and is one of the three common shapes for heptacoordinate transition metal complexes, along with the pentagonal bipyramid and the capped octahedron. Examples of the capped trigonal prismatic molecular geometry are the heptafluorotantalate () and the heptafluoroniobate () ions. References Stereochemistry Molecular geometry
https://en.wikipedia.org/wiki/Dodecahedral%20molecular%20geometry
In chemistry, the dodecahedral molecular geometry describes the shape of compounds where eight atoms or groups of atoms or ligands are arranged around a central atom defining the vertices of a snub disphenoid (also known as a trigonal dodecahedron). This shape has D2d symmetry and is one of the three common shapes for octacoordinate transition metal complexes, along with the square antiprism and the bicapped trigonal prism. One example of the dodecahedral molecular geometry is the ion. References Stereochemistry Molecular geometry
https://en.wikipedia.org/wiki/Bicapped%20trigonal%20prismatic%20molecular%20geometry
In chemistry, the bicapped trigonal prismatic molecular geometry describes the shape of compounds where eight atoms or groups of atoms or ligands are arranged around a central atom defining the vertices of a biaugmented triangular prism. This shape has C2v symmetry and is one of the three common shapes for octacoordinate transition metal complexes, along with the square antiprism and the dodecahedron. It is very similar to the square antiprismatic molecular geometry, and there is some dispute over the specific geometry exhibited by certain molecules. One example of the bicapped trigonal prismatic molecular geometry is the ion. The bicapped trigonal prismatic coordination geometry is found in the plutonium(III) bromide crystal structure type, which is adopted by many of the bromides and iodides of the lanthanides and actinides. References Stereochemistry Molecular geometry
https://en.wikipedia.org/wiki/Chen%20Yi%20%28footballer%29
Chen Yi (; born 1 June 1997) is a Chinese footballer currently playing for China League One club Sichuan Jiuniu. Career statistics Club Notes References 1997 births Living people Chinese men's footballers Chinese expatriate men's footballers Men's association football midfielders Campeonato de Portugal (league) players Liga Portugal 2 players China League One players Changchun Yatai F.C. players C.D. Mafra players C.D. Cova da Piedade players G.D. Tourizense players Heilongjiang Ice City F.C. players Sichuan Jiuniu F.C. players Chinese expatriate sportspeople in Portugal Expatriate men's footballers in Portugal
https://en.wikipedia.org/wiki/Tan%20Jiajie
Tan Jiajie (; born 12 January 1997) is a Chinese footballer. Career statistics Club Notes References 1997 births Living people Footballers from Zhaoqing Footballers from Guangdong Chinese men's footballers Chinese expatriate men's footballers Men's association football midfielders Serbian First League players FK Sinđelić Beograd players Chinese expatriate sportspeople in Serbia Expatriate men's footballers in Serbia
https://en.wikipedia.org/wiki/Zhang%20Wu
Zhang Wu (; born 17 August 1993) is a Chinese footballer currently playing as a midfielder for Wuxi Wugou in the China League Two. Career statistics Club Notes References 1993 births Living people Chinese men's footballers Chinese expatriate men's footballers Men's association football midfielders Serbian First League players China League Two players FK Trayal Kruševac players Chinese expatriate sportspeople in Serbia Expatriate men's footballers in Serbia Footballers from Liaoning
https://en.wikipedia.org/wiki/Lara%20Alcock
Lara Alcock is a British mathematics educator. She is a reader in mathematics education at Loughborough University, head of the Mathematics Education Centre at Loughborough, and the author of several books on mathematics. Alcock won the Selden Prize for her research in mathematics education and the inaugural John Blake University Teaching Medal in 2021. Alcock is a National Teaching Fellow. Education Alcock earned bachelor's and master's degrees in mathematics at the University of Warwick, and in 2001 completed a PhD in mathematics education at Warwick. Her PhD research on Categories, definitions and mathematics: Student reasoning about objects in analysis, was supervised by Adrian Simpson. Career and research After working as an assistant professor at Rutgers University in New Jersey, she returned to the UK as a teaching fellow at Essex University. She moved to Loughborough in 2007. Publications Alcock's publications include: Ideas from Mathematics Education: An Introduction for Mathematicians (with Adrian Simpson, Higher Education Academy, 2009) How to Study for a Mathematics Degree / How to Study as a Mathematics Major (UK/US; Oxford University Press, 2013); Wie man erfolgreich Mathematik studiert (translated into German by Bernhard Gerl, Springer Spektrum, 2017) How to Think about Analysis (Oxford University Press, 2014) Mathematics Rebooted: A Fresh Approach to Understanding (Oxford University Press, 2017) Awards and honours Alcock is the 2012 winner of the Annie and John Selden Prize for research in undergraduate mathematics education, given by the Mathematical Association of America. She was named a National Teaching Fellow by the Higher Education Academy in 2015. Alcock was the inaugural winner of the Institute of Mathematics and its Applications John Blake University Teaching Medal in 2021 References Year of birth missing (living people) Living people British mathematicians Women mathematicians Mathematics educators Alumni of the University of Warwick Rutgers University faculty Academics of Loughborough University
https://en.wikipedia.org/wiki/Phosphaethynolate
The phosphaethynolate anion, also referred to as PCO, is the phosphorus-containing analogue of the cyanate anion with the chemical formula or . The anion has a linear geometry and is commonly isolated as a salt. When used as a ligand, the phosphaethynolate anion is ambidentate in nature meaning it forms complexes by coordinating via either the phosphorus or oxygen atoms. This versatile character of the anion has allowed it to be incorporated into many transition metal and actinide complexes but now the focus of the research around phosphaethynolate has turned to utilising the anion as a synthetic building block to organophosphanes. Synthesis The first reported synthesis and characterisation of phosphaethynolate came from Becker et al. in 1992. They were able to isolate the anion as a lithium salt (in 87% yield) by reacting lithium bis(trimethylsilyl)phosphide with dimethyl carbonate . The x-ray crystallographic analysis of the anion determined the bond length to be (indicative of a phosphorus-carbon triple bond) and the bond length to be . Similar studies were performed on derivatives of this structure and the results indicated that dimerisation to form a four-membered Li ring is favoured by this molecule. Ten years later, in 2002, Westerhausen et al. published the use of Becker's method to make a family of alkaline earth metal salts of PCO ; this work involved the synthesis of the magnesium, calcium, strontium and barium bis-phosphaethynolates. Like the salts previously reported by Becker, the alkali-earth metal analogues were unstable to moisture and air and thus were required to be stored at low temperatures (around ) in dimethoxyethane solutions. It was not until 2011 that the first stable salt of the phosphaethynolate anion was reported by Grutzmacher and co-workers . They managed to isolate the compound as a brown solid in 28% yield. The structure of the stable sodium salt, formed by carbonylation of sodium phosphide, contains bridging PCO units in contrast to the terminal anions found in the previously reported structures. The authors noted that this sodium salt could be handled in air as well as water without major decomposition; this emphasises the significance of the accompanying counter cation in stabilisation of PCO. Direct carbonylation was a method also employed by Goicoechea in 2013 in order to synthesis a phosphaethynolate anion stabilised by a potassium cation sequestered in 18-crown-6 . This method required the carbonylation of solutions of at and produced by-products that were readily separated during aqueous work ups. The use of aqueous work ups reflects the high stability of the salt in water. This method afforded the PCO anion in reasonable yields around 43%. Characterisation of the compound involved infra-red spectroscopy; the band indicative of the triple bond stretch was observed at . Ambidentate nature of the anion The phosphaethynolate anion is the heavier isoelectronic congener of the cyanate anion. It h
https://en.wikipedia.org/wiki/2018%20FIVB%20Volleyball%20Men%27s%20World%20Championship%20statistics
The final tournament was held in Italy and Bulgaria from 9 to 30 September 2018. Poland defended their world title, defeating the reigning Olympic champions Brazil in straight sets at a repeat of the 2014 final. United States won the 3rd place match, defeating Serbia in four sets. Tournament statistics Attendance Matches played : 94 Attendance (first round) (played 60) : 190,213 (3,170 per match) Attendance (second round) (played 24) : 90,124 (3,755 per match) Attendance (third round) (played 6) : 61,361 (10,227 per match) Attendance (final round) (played 4) : 47,331 (11,833 per match) Total attendance on tournament : 389,029 (4,139 per match) Most attendance : 12,875 - v. , Forum di Assago, Milan on 22 September 2018. Fewest attendance : 230 - v. , Palace of Culture and Sports, Varna on 17 September 2018. Matches Most matches wins : 10 - , Fewest matches wins : 0 - , , , Most matches lost : 5 - , , , Fewest matches lost : 2 - , , Most points played in match : 230 - vs. 3 : 2 (116/114) Fewest points played in match : 116 - vs. 0 : 3 (41/75) Longest match played (duration) : 149 min. - vs. (2h,29m) Shortest match played (duration) : 72 min. - vs. (1h,12m) Sets Total sets (first round) : 226 (3.77 per match) Total sets (second round) : 91 (3.79 per match) Total sets (third round) : 22 (3.67 per match) Total sets (final round) : 15 (3.75 per match) Total sets scored : 353 (3.76 per match) Most sets played : 46 - Most sets wins : 32 - , Fewest sets wins : 1 - Most sets lost : 21 - , Fewest sets lost : 11 - , Highest set ratio : 2.462 - (32/13) Lowest set ratio : 0.067 - (1/15) Points Total points (first round) : 9,882 (165 per match) Total points (second round) : 3,979 (166 per match) Total points (third round) : 967 (161 per match) Total points (final round) : 694 (174 per match) Total points scored : 15,522 (165 per match) Most points wins : 1,068 - Fewest points wins : 267 - Most points lost : 991 - Fewest points lost : 398 - , Highest points ratio : 1.141 - (1068/936) Lowest points ratio : 0.671 - (267/398) Squads Coaches Oldest coach: Antonio Giacobbe - 71 years and 212 days in the first game against Brazil. Youngest coach: Tuomas Sammelvuo - 42 years and 206 days in the first game against Bulgaria. Teams with foreign coaches: 7 teams are trained by foreign coaches, including two teams (Dominican Republic and Iran) of coaches whose home countries (Venezuela and Montenegro) did not qualify for the 2018 FIVB Volleyball Men's World Championship. Players Appearance record: Luciano de Cecco , Nathan Roberts, Paul Carroll , Teodor Salparov , Ahmed Abdelhay and Marko Podraščanin participated in the World Championship for the fourth time. Oldest player: At 39 years and 130 days, Jean Patrice Ndaki Mboulet is the oldest player ever to be nominated for a 2018 FIVB Volleyball Men's World Championship finals. Youngest player: Marlon Yang is the youngest player at
https://en.wikipedia.org/wiki/The%20International%20Journal%20of%20Biostatistics
The International Journal of Biostatistics is a biannual peer-reviewed scientific journal covering biostatistics. It was established in 2005 and is published by Walter de Gruyter. Its editors-in-chief are Antoine Chambaz (Université Paris Descartes), Alan Hubbard (University of California, Berkeley), and Mark van der Laan (University of California, Berkeley). According to the Journal Citation Reports, the journal has a 2017 impact factor of 0.840. References External links Academic journals established in 2005 Biannual journals De Gruyter academic journals Biostatistics journals English-language journals
https://en.wikipedia.org/wiki/Tai-Ping%20Liu
Tai-Ping Liu (; born 18 November 1945) is a Taiwanese mathematician, specializing in partial differential equations. Liu received his bachelor's degree in mathematics in 1968 from National Taiwan University, his master's degree in 1970 from Oregon State University, and his PhD in 1973 from University of Michigan with thesis advisor Joel Smoller and thesis Riemann problem for general 2 × 2 systems of conservation laws. Afterwards Liu was a professor at University of Maryland, from 1988 at New York University and from 1990 at Stanford University, where he is now retired. Since 2000 he has been a Distinguished Research Fellow at the Academia Sinica. He was elected a Fellow of the American Mathematical Society in 2012. His research deals with nonlinear partial differential equations, hyperbolic conservation laws, shock waves, the Boltzmann equation, and equations of gas dynamics. He is the author or coauthor of over 140 research publications. In 1998 he gave the DiPerna lecture. In 1992 Liu became a member of Academia Sinica. In 2002 he was an Invited Speaker with talk Shock Waves at the International Congress of Mathematicians in Beijing. Selected publications Hyperbolic and viscous conservation laws, CBMS Regional Conference, SIAM 2000 Admissible solutions of hyperbolic conservation laws, Memoirs AMS, No. 240, 1981. Nonlinear stability of shock waves for viscous conservation laws, Memoirs AMS, No. 328, 1985 with Y. Zeng: Large-time Behavior of Solutions of General Quasilinear Hyperbolic-Parabolic Systems of Conservation Laws, Memoirs AMS, No. 599, 1997 as editor with Heinrich Freistühler and Anders Szepessy: Advances in the theory of shock waves, Birkhäuser 2001 References External links website at Academia Sinica Workshop on Kinetic Theory and Fluid Dynamics, Seoul National University, October 2009 20th-century Taiwanese mathematicians 21st-century Taiwanese mathematicians National Taiwan University alumni Oregon State University alumni University of Michigan alumni University of Maryland, College Park faculty New York University faculty Stanford University faculty Members of Academia Sinica Fellows of the American Mathematical Society 1945 births Living people
https://en.wikipedia.org/wiki/Ilona%20Pal%C3%A1sti
Ilona Palásti (1924–1991) was a Hungarian mathematician who worked at the Alfréd Rényi Institute of Mathematics. She is known for her research in discrete geometry, geometric probability, and the theory of random graphs. With Alfréd Rényi and others, she was considered to be one of the members of the Hungarian School of Probability. Contributions In connection to the Erdős distinct distances problem, Palásti studied the existence of point sets for which the th least frequent distance occurs times. That is, in such points there is one distance that occurs only once, another distance that occurs exactly two times, a third distance that occurs exactly three times, etc. For instance, three points with this structure must form an isosceles triangle. Any evenly-spaced points on a line or circular arc also have the same property, but Paul Erdős asked whether this is possible for points in general position (no three on a line, and no four on a circle). Palásti found an eight-point set with this property, and showed that for any number of points between three and eight (inclusive) there is a subset of the hexagonal lattice with this property. Palásti's eight-point example remains the largest known. Another of Palásti's results in discrete geometry concerns the number of triangular faces in an arrangement of lines. When no three lines may cross at a single point, she and Zoltán Füredi found sets of lines, subsets of the diagonals of a regular -gon, having triangles. This remains the best lower bound known for this problem, and differs from the upper bound by only triangles. In geometric probability, Palásti is known for her conjecture on random sequential adsorption, also known in the one-dimensional case as "the parking problem". In this problem, one places non-overlapping balls within a given region, one at a time with random locations, until no more can be placed. Palásti conjectured that the average packing density in -dimensional space could be computed as the th power of the one-dimensional density. Although her conjecture led to subsequent research in the same area, it has been shown to be inconsistent with the actual average packing density in dimensions two through four. Palásti's results in the theory of random graphs include bounds on the probability that a random graph has a Hamiltonian circuit, and on the probability that a random directed graph is strongly connected. Selected publications References 1924 births 1991 deaths 20th-century Hungarian mathematicians Women mathematicians Graph theorists Probability theorists
https://en.wikipedia.org/wiki/John%20Hopper%20%28scientist%29
John L. Hopper is an Australian genetic epidemiologist and professor at the University of Melbourne, where he is a Professorial Fellow and Director of the Centre for Epidemiology and Biostatistics in the School of Population Global Health. He is also a National Health and Medical Research Council (NHMRC) Senior Principal Research Fellow, and was one of the first nine Australia Fellows chosen by the NHMRC in 2007. Since 1990, he has been the director of Twins Research Australia (formerly the Australian Twin Registry). References External links Faculty profile Living people Australian geneticists Australian epidemiologists Genetic epidemiologists Monash University alumni La Trobe University alumni Academic staff of the University of Melbourne Statistical geneticists Australian statisticians Year of birth missing (living people)
https://en.wikipedia.org/wiki/Aleksa%20Dodi%C4%87
Aleksa Dodić (born 28 January 1998) is a retired Serbian footballer. Career statistics Club Notes References 1998 births Living people Serbian men's footballers Men's association football goalkeepers Serbian First League players Red Star Belgrade footballers FK Jagodina players FK Javor Ivanjica players Place of birth missing (living people)
https://en.wikipedia.org/wiki/Ng%20Wa%20Keng
Ngo Wa Keng (; born 2 August 1999) is a Macanese footballer who currently plays as a midfielder for Benfica (Macau) and the Macau national football team. Career statistics Club Notes International International goals Macau U23 References 1999 births Living people Macau men's footballers Macau men's international footballers Men's association football midfielders Liga de Elite players
https://en.wikipedia.org/wiki/Jorge%20Marcelo%20Vitorino
Jorge Marcelo Vitorino (born 7 October 1999) is a Macanese footballer who currently plays as a forward for Lun Lok. Career statistics Club Notes International References 1999 births Living people Macau men's footballers Macau men's international footballers Men's association football forwards
https://en.wikipedia.org/wiki/Dion%20Carlos%20Choi
Dion Carlos Choi (; born 6 February 1999) is a Macanese footballer who currently plays as an midfielder for Chao Pak Kei and the Macau national football team. Career statistics Club Notes International References 1999 births Living people Macau men's footballers Macau men's international footballers Men's association football midfielders C.D. Monte Carlo players S.L. Benfica de Macau players Liga de Elite players
https://en.wikipedia.org/wiki/Soft%20configuration%20model
In applied mathematics, the soft configuration model (SCM) is a random graph model subject to the principle of maximum entropy under constraints on the expectation of the degree sequence of sampled graphs. Whereas the configuration model (CM) uniformly samples random graphs of a specific degree sequence, the SCM only retains the specified degree sequence on average over all network realizations; in this sense the SCM has very relaxed constraints relative to those of the CM ("soft" rather than "sharp" constraints). The SCM for graphs of size has a nonzero probability of sampling any graph of size , whereas the CM is restricted to only graphs having precisely the prescribed connectivity structure. Model formulation The SCM is a statistical ensemble of random graphs having vertices () labeled , producing a probability distribution on (the set of graphs of size ). Imposed on the ensemble are constraints, namely that the ensemble average of the degree of vertex is equal to a designated value , for all . The model is fully parameterized by its size and expected degree sequence . These constraints are both local (one constraint associated with each vertex) and soft (constraints on the ensemble average of certain observable quantities), and thus yields a canonical ensemble with an extensive number of constraints. The conditions are imposed on the ensemble by the method of Lagrange multipliers (see Maximum-entropy random graph model). Derivation of the probability distribution The probability of the SCM producing a graph is determined by maximizing the Gibbs entropy subject to constraints and normalization . This amounts to optimizing the multi-constraint Lagrange function below: where and are the multipliers to be fixed by the constraints (normalization and the expected degree sequence). Setting to zero the derivative of the above with respect to for an arbitrary yields the constant being the partition function normalizing the distribution; the above exponential expression applies to all , and thus is the probability distribution. Hence we have an exponential family parameterized by , which are related to the expected degree sequence by the following equivalent expressions: References Random graphs
https://en.wikipedia.org/wiki/Preconditioned%20Crank%E2%80%93Nicolson%20algorithm
In computational statistics, the preconditioned Crank–Nicolson algorithm (pCN) is a Markov chain Monte Carlo (MCMC) method for obtaining random samples – sequences of random observations – from a target probability distribution for which direct sampling is difficult. The most significant feature of the pCN algorithm is its dimension robustness, which makes it well-suited for high-dimensional sampling problems. The pCN algorithm is well-defined, with non-degenerate acceptance probability, even for target distributions on infinite-dimensional Hilbert spaces. As a consequence, when pCN is implemented on a real-world computer in large but finite dimension N, i.e. on an N-dimensional subspace of the original Hilbert space, the convergence properties (such as ergodicity) of the algorithm are independent of N. This is in strong contrast to schemes such as Gaussian random walk Metropolis–Hastings and the Metropolis-adjusted Langevin algorithm, whose acceptance probability degenerates to zero as N tends to infinity. The algorithm as named was highlighted in 2013 by Cotter, Roberts, Stuart and White, and its ergodicity properties were proved a year later by Hairer, Stuart and Vollmer. In the specific context of sampling diffusion bridges, the method was introduced in 2008. Description of the algorithm Overview The pCN algorithm generates a Markov chain on a Hilbert space whose invariant measure is a probability measure of the form for each measurable set , with normalising constant given by where is a Gaussian measure on with covariance operator and is some function. Thus, the pCN method applied to target probability measures that are re-weightings of a reference Gaussian measure. The Metropolis–Hastings algorithm is a general class of methods that try to produce such Markov chains , and do so by a two-step procedure of first proposing a new state given the current state and then accepting or rejecting this proposal, according to a particular acceptance probability, to define the next state . The idea of the pCN algorithm is that a clever choice of (non-symmetric) proposal for a new state given might have an associated acceptance probability function with very desirable properties. The pCN proposal The special form of this pCN proposal is to take or, equivalently, The parameter is a step size that can be chosen freely (and even optimised for statistical efficiency). One then generates and sets The acceptance probability takes the simple form It can be shown that this method not only defines a Markov chain that satisfies detailed balance with respect to the target distribution , and hence has as an invariant measure, but also possesses a spectral gap that is independent of the dimension of , and so the law of converges to as . Thus, although one may still have to tune the step size parameter to achieve a desired level of statistical efficiency, the performance of the pCN method is robust to the dimension of the samplin
https://en.wikipedia.org/wiki/List%20of%20private%20revelations%20approved%20by%20the%20Catholic%20Church
Private revelations approved by the Catholic Church are private revelations which the Catholic Church has judged to be in all probability (not infallibly or with absolute certainty) from God (constat de supernaturalitate), and has legalized to be published and authorized devotion to them. Shrines and feast days, when authorized by the church, are typical signs of approval since they are part of devotion to private revelation. This list is organized according to the episcopal level of approval, type of revelation, and chronology and includes a brief line about the revelation, its recipient, which church official approved of it, and an except from a church document about it being approved. Episcopal Approval Mary Apparition Laus, France (1664-1718) The apparitions of Our Lady of Laus to Venerable Benedicta Rencurel were approved by Bishop Jean-Michel de Falco. I recognize the supernatural origin of the apparitions and the events and words experienced and narrated by Benedicta Rencurel. I encourage all of the faithful to come and pray and seek spiritual renewal at this shrine. Green Bay, Wisconsin (1859) The three apparitions of Our Lady of Champion to Adele Brise were approved by Bishop David Ricken. It remains to me now, the Twelfth Bishop of the Diocese of Green Bay and the lowliest of the servants of Mary, to declare with moral certainty and in accord with the norms of the Church that the events, apparitions and locutions given to Adele Brise in October of 1859 do exhibit the substance of supernatural character, and I do hereby approve these apparitions as worthy of belief (although not obligatory) by the Christian faithful. Kibeho, Rwanda (1981-1989) The apparitions of Our Lady of Kibeho to Alphonsine Mumureke, Nathalie Mukamazimpaka, and Marie Claire Mukangango were approved by Bishop Augustin Misago. Yes, the Virgin Mary appeared at Kibeho on November 28th, 1981 and in the months that followed. There are more reasons to believe in the apparitions than to deny them. Only the three initial testimonies merit being considered authentic; they were given by Alphonsine Mumureke, Nathalie Mukamazimpaka, and by Marie Claire Mukangango. Papal approved Jesus Apparition Paray, France (1673-1675) The apparitions of the Sacred Heart of Jesus to Saint Margaret Mary Alacoque were approved by Pope Pius XI. For when Christ manifested Himself to Margaret Mary, and declared to her the infinitude of His love, at the same time, in the manner of a mourner, He complained that so many and such great injuries were done to Him by ungrateful men - and we would that these words in which He made this complaint were fixed in the minds of the faithful, and were never blotted out by oblivion... Krakow, Poland (1931-1938) The apparitions of the Divine Mercy to Saint Faustina Kowalska were approved by Pope John Paul II. Today, therefore, in this Shine, I wish solemnly to entrust the world to Divine Mercy. I do so with the burning desire that the message of God
https://en.wikipedia.org/wiki/Jonathan%20Burkardt
Jonathan Michael Burkardt (born 11 July 2000) is a German footballer who plays as a forward for Bundesliga club Mainz 05. Career statistics Burkardt came from SV Darmstadt 98 to the youth academy of Mainz 05 in 2014 and was active in the B-Youth and A-Youth Bundesliga for Mainz. In June 2018, the 17-year-old striker received a professional contract that initially ran until 2020. He took part in the professionals' summer training camp and finally made his Bundesliga debut on September 15, 2018 in a 2-1 win in the 05er's home game against FC Augsburg.At the end of the season he had played four Bundesliga games; he had also played twice for the Mainz second team in the Regionalliga Südwest. Until the end of the 2018/19 season, he was still eligible to play for the Mainz youth team and was also used there. In the 2020/21 season he played in 29 of the 34 Bundesliga games and scored two goals, including the opening goal in Mainz's 2-1 win over eventual champions Bayern Munich on Matchday 31. In the first half of the 2021/22 season, Burkardt played in all 17 games and scored 7 goals. As a result, his Bundesliga colleagues, 234 professionals, voted him "promoter of the season" in a Kicker poll. The kicker himself led the striker in the ranking of German football in winter 2021/22 in his position behind Robert Lewandowski, Erling Haaland (both world class), Patrik Schick (international class) with nine other players in the national class. Throughout the season he played in all competitive games and scored a total of eleven goals in the Bundesliga; he was the top scorer of the 05er. His contract runs until 2024. References External links Profile at the 1. FSV Mainz 05 website 2000 births Living people German men's footballers Germany men's youth international footballers Germany men's under-21 international footballers Men's association football forwards 1. FSV Mainz 05 players Bundesliga players Footballers from Darmstadt
https://en.wikipedia.org/wiki/Ernst%20Fiedler
Ernst Fiedler (1861–1954) was a Swiss (German born) mathematician. Life and work Fiedler was the son of Wilhelm Fiedler, mathematics professor at ETH Zurich from 1867. From 1879 to 1882 he studied mathematics at ETH Zurich; in 1882 he moved to Berlin where he studied under Weierstrass, Frobenius and other outstanding mathematicians. In 1885 he moved to Leipzig, where he was awarded a doctorate under Felix Klein in 1885. Returned to Zurich, he was privatdozent at ETH Zurich. In 1889 he was named full professor at the Industrieschule (in 1904 renamed as Oberrealschule, and now Kantonsschule Rämibühl). He was the principal of the school from 1904 to 1926 whem he retired. Fiedler only produced some secondary school textbooks and any research paper. But he has left some lecture notes on courses given by his father and other professors like Weierstrass. He also joined the Swiss Army and became the youngest colonel in the army. From 1889 he lectured on ballistics at the Polytechnicum. He was also member of a number of committees to improve the secondary schools. References Bibliography External links 1861 births 1954 deaths 19th-century Swiss mathematicians 20th-century Swiss mathematicians Emigrants from the German Empire Immigrants to Switzerland
https://en.wikipedia.org/wiki/Andrew%20J.%20Sommese
Andrew John Sommese (born 3 May 3, 1948 in New York City) is an American mathematician, specializing in algebraic geometry. Sommese received in 1969 from Fordham University a bachelor's degree and in 1973 from Princeton University a PhD under Phillip Griffiths with thesis Algebraic properties of the period-mapping. As a postdoc Sommese was from 1973 to 1975 a Gibbs Instructor at Yale University and was for the academic year 1975–1976 at the Institute for Advanced Study. He became at Cornell University in 1975 an assistant professor and at the University of Notre Dame in 1979 an associate professor and in 1983 a full professor. At the University of Notre Dame he was from 1988 to 1992 the chair of the mathematics department and from 1987 to 1992 the co-director of the Center for Applied Mathematics. Since 1994 he is there Duncan Professor for mathematics. Sommese deals with numerical algebraic geometry (solution of polynomial equation systems) with applications, e.g. in robotics. For such applications he, with colleagues, developed software (such as Bertini) and cluster-software (i.e. software for computer clusters). He also deals with the numerical analysis of systems of nonlinear differential equations. He was a visiting professor at the University of Göttingen (1977) and the University of Bonn (1978/79) and a visiting scientist at the Max Planck Institute for Mathematics in Bonn. In 1993 he received the Humboldt Prize. In 1973 he was a Sloan Research Fellow. From 1986 to 1993 he was a co-editor of Manuscripta Mathematica and since 2000 is a co-editor for Advances in Geometry. He was elected a Fellow of the American Mathematical Society in 2012. His doctoral students include Mark Andrea de Cataldo and Jaroslaw Wisniewski. Selected publications with Bernard Shiffman: Vanishing theories on complex manifolds, Progress in Mathematics 56, Birkhäuser Verlag 1985 with Mauro Beltrametti: The adjunction theory of complex projective varieties, De Gruyter 1995 with Charles Wampler: Numerical solution of polynomial systems arising in engineering and science, World Scientific 2005 as editor with Alicia Dickenstein and Frank-Olaf Schreyer: Algorithms in Algebraic Geometry, Springer Verlag 2008 with Daniel J. Bates, Jonathan D. Hauenstein, and Charles W. Wampler: Numerically solving polynomial systems with Bertini, SIAM 2013 Bertini™ Home Page References External links Home page for Sommese at U. of Notre Dame 20th-century American mathematicians 21st-century American mathematicians Fordham University alumni Princeton University alumni University of Notre Dame faculty Fellows of the American Mathematical Society 1948 births Living people Scientists from New York City Mathematicians from New York (state) Cornell University faculty Institute for Advanced Study visiting scholars Yale University fellows
https://en.wikipedia.org/wiki/Dianna%20Xu
Yilun Dianna Xu is a mathematician and computer scientist whose research concerns the computational geometry of curves and surfaces, computer vision, and computer graphics. She is a professor of computer science at Bryn Mawr College where she chairs the computer science department. Education and career Xu graduated from Smith College in 1996, with a bachelor's degree in computer science. She credits going to a women's college with the nurturing environment that allowed her to become interested in computer science. She completed her Ph.D. in 2002 in computer and information science at the University of Pennsylvania. Her dissertation, Incremental Algorithms for the Design of Triangular-Based Spline Surfaces, was supervised by Jean Gallier. After staying at Pennsylvania as a postdoctoral researcher, she joined the Bryn Mawr faculty in 2004. Books With Ira Greenberg and Deepak Kumar, Xu is the author of Processing: Creative Coding and Generative Art in Processing 2 (Springer, 2013), a tutorial introduction to Processing, an open-source graphical library and integrated development environment built for the electronic arts, new media art, and visual design communities. With Jean Gallier, she is the author of A Guide to the Classification Theorem for Compact Surfaces (Springer, 2013). References External links Home page Year of birth missing (living people) Living people American computer scientists 21st-century American mathematicians American women mathematicians American women computer scientists Smith College alumni Bryn Mawr College faculty Researchers in geometric algorithms 21st-century women mathematicians 21st-century American women scientists
https://en.wikipedia.org/wiki/Paolo%20Cognetti
Paolo Cognetti (born 27 January 1978 in Milan) is an Italian writer. He started studying mathematics at university, but quit to enroll at Milan's film-making school Civica Scuola di Cinema «Luchino Visconti», where he graduated in 1999. He taught himself American literature and started directing documentaries in 2004, especially about social, political and literary topics. His first work as a writer was the short story Fare ordine, which won the Premio Subway−Letteratura. He loves New York City, which has become the main subject of some of his documentaries. His other passion is the mountains, where he likes to spend a few months alone every year. In 2016, he published his first novel Le otto montagne (The Eight Mountains, English translation by Simon Carnell and Erica Segre for Atria Books, 2018), which granted him the Premio Strega 2017, Italy′s most prestigious literary award, as well as various international awards, such as the Prix Médicis étranger, the Prix François Sommer, and the English Pen Translates Award. Works Fare ordine. [Genere: storia d'amore; 1 racconto da 5 fermate], Milan, 2003 Manuale per ragazze di successo, Rome, 2004 Una cosa piccola che sta per esplodere, Rome, 2007 Sofia si veste sempre di nero, Rome, 2012 Il nuotatore, with Mara Cerri, Rome, 2013 Le otto montagne (The Eight Mountains), Turin, 2016 La felicità del Lupo, Turin, Einaudi, 2021 Documentaries Scrivere/New York, 2004 Essay New York è una finestra senza tende, 2010 Il ragazzo selvatico. Quaderno di montagna, Milan, 2013 A pesca nelle pozze più profonde, Roma, 2014 Tutte le mie preghiere guardano verso ovest, 2014 Senza mai arrivare in cima, Turin, Einaudi, 2018 L'Antonia. Poesie, lettere e fotografie di Antonia Pozzi scelte e raccontate da Paolo Cognetti, Milan, Ponte alle Grazie, 2021. References External links Sito casa editrice minimum fax, scheda di Paolo Cognetti. 1978 births Living people Writers from Milan 21st-century Italian male writers 21st-century Italian novelists Strega Prize winners Italian male novelists Prix Médicis étranger winners
https://en.wikipedia.org/wiki/Feldman%E2%80%93H%C3%A1jek%20theorem
In probability theory, the Feldman–Hájek theorem or Feldman–Hájek dichotomy is a fundamental result in the theory of Gaussian measures. It states that two Gaussian measures and on a locally convex space are either equivalent measures or else mutually singular: there is no possibility of an intermediate situation in which, for example, has a density with respect to but not vice versa. In the special case that is a Hilbert space, it is possible to give an explicit description of the circumstances under which and are equivalent: writing and for the means of and and and for their covariance operators, equivalence of and holds if and only if and have the same Cameron–Martin space ; the difference in their means lies in this common Cameron–Martin space, i.e. ; and the operator is a Hilbert–Schmidt operator on A simple consequence of the Feldman–Hájek theorem is that dilating a Gaussian measure on an infinite-dimensional Hilbert space (i.e. taking for some scale factor ) always yields two mutually singular Gaussian measures, except for the trivial dilation with since is Hilbert–Schmidt only when See also References Probability theorems Theorems in measure theory
https://en.wikipedia.org/wiki/John%20M.%20Lee
John "Jack" Marshall Lee (born September 2, 1950) is an American mathematician and professor at the University of Washington specializing in differential geometry. Education Lee graduated from Princeton University with a bachelor's degree in 1972, then became a systems programmer (at Texas Instruments from 1972 to 1974 and at the Geophysical Fluid Dynamics Laboratory in 1974–1975) and a teacher at Wooster School in Danbury, Connecticut in 1975–1977. He continued his studies at Tufts University in 1977–1978. He received his doctorate from Massachusetts Institute of Technology in 1982 under the direction of Richard Melrose with the dissertation Higher asymptotics of the complex Monge-Ampère equation and geometry of CR manifolds. Career From 1982 to 1987, Lee was an assistant professor at Harvard University. At the University of Washington he became in 1987 an assistant professor, in 1989 an associate professor, and in 1996 a full professor. Research Lee's research has focused on the Yamabe problem, geometry of and analysis on CR manifolds, and differential geometry questions of general relativity (such as the constraint equations in the initial value problem of Einstein equations and existence of Einstein metrics on manifolds). Lee created a mathematical software package named Ricci for performing tensor calculations in differential geometry. Ricci, named in honor of Gregorio Ricci-Curbastro and completed in 1992, consists of 7000 lines of Mathematica code. It was chosen for inclusion in the MathSource library of Mathematica packages supported by Wolfram Research. Awards In 2012, Lee received, jointly with David Jerison, the Stefan Bergman Prize from the American Mathematical Society. Selected publications Textbooks Riemannian Manifolds: An Introduction to Curvature, Springer-Verlag, Graduate Texts in Mathematics 1997 (formally, the second edition of the above text) Introduction to Topological Manifolds, Springer-Verlag, Graduate Texts in Mathematics 2000, 2nd edition 2011 Introduction to Smooth Manifolds, Springer-Verlag, Graduate Texts in Mathematics, 2002, 2nd edition 2012 Fredholm Operators and Einstein Metrics on Conformally Compact Manifolds. American Mathematical Soc. 2006 Axiomatic Geometry, AMS 2013 References External links Homepage 20th-century American mathematicians 21st-century American mathematicians Princeton University alumni Massachusetts Institute of Technology alumni University of Washington faculty Differential geometers 1950 births Living people
https://en.wikipedia.org/wiki/Dabeeru%20C.%20Rao
Dabeeru C. Rao (born 6 April 1946) is an Indian-American statistical geneticist. He is professor and director of the Division of Biostatistics at Washington University School of Medicine. Born in 1946, Rao was educated at the Indian Statistical Institute, where he received his Ph.D. in 1971. His Ph.D. thesis was entitled A Statistical Study of Tongue Pigmentation in Man, and his doctoral advisor was C. R. Rao. From 1971 to 1979, he was a geneticist in the University of Hawaii's Population Genetics Laboratory, where he worked with Newton Morton. In 1980, he joined the faculty of Washington University School of Medicine as associate professor and founding director of the Division of Biostatistics. He was promoted to full professor there in 1982, and has remained director of the Division of Biostatistics since 1980. Rao was the president of the International Genetic Epidemiology Society in 1996, and served as the founding editor-in-chief of its official journal, Genetic Epidemiology, in 1984. He was elected a fellow of the American Statistical Association in 2013. References External links Faculty page Living people 1946 births Scientists from Andhra Pradesh Indian emigrants to the United States Biostatisticians American geneticists Indian geneticists Washington University School of Medicine faculty Indian Statistical Institute alumni Fellows of the American Statistical Association Statistical geneticists Academic journal editors Genetic epidemiologists
https://en.wikipedia.org/wiki/Concha%20G%C3%B3mez
Concha Maria Gómez is an American mathematician. She is a professor of mathematics at Diablo Valley College. Gómez is known for being one of the co-founders of the women's organization The Noetherian Ring at the University of California Berkeley in 1991 while attending as a doctoral student. She is an advocate for diversity in the STEM fields and worked for the Wisconsin Emerging Scholars program of the University of Wisconsin–Madison, whose goal was to promote retention of minority students in STEM. Early life and education Gómez was born to Patricia M. Difanis Gómez and Nicolas Humberto Gómez. She attended University of Wisconsin–Madison for two years before dropping out due to lack of funds and support. She moved from Madison to San Francisco at the age of 20 and worked odd jobs before taking classes for fun at a community college. Gómez eventually transferred to University of California, Berkeley and earned a B.A. and Ph.D. in mathematics in 2000. Her dissertation was titled "Definability in p-adic power series rings." Leo Harrington was her doctoral advisor. Jack Silver and Deborah A. Nolan served on her dissertation committee. Gómez cites the support of Jenny Harrison and Donald Sarason for encouraging her to form relationships with mathematicians outside of UC Berkeley. Gómez is known for being one of the co-founders of the women's organization The Noetherian Ring at the University of California Berkeley in 1991 while attending as a doctoral student. Career Gómez was an assistant professor of mathematics at Middlebury College. In the fall of 2004, she began working at University of Wisconsin–Madison in a non-tenure track position to teach math and direct the Wisconsin Emerging Scholars (WES) program whose goal was to promote retention of minority students in STEM. In 2006, Gómez cited Wisconsin's passing a constitutional amendment banning same-sex marriage as a motivation to seek academic employment elsewhere. She is a professor of mathematics at Diablo Valley College where she is also fostering a support network of Latinx faculty and students. She is an advocate for diversity in the STEM fields. Gomez is included in a deck of playing cards featuring notable women mathematicians published by the Association of Women in Mathematics. Personal life Concha Gómez was diagnosed with multiple sclerosis as a doctoral student. References Living people 20th-century American mathematicians 20th-century women mathematicians 21st-century American mathematicians 21st-century women mathematicians Middlebury College faculty People with multiple sclerosis University of California, Berkeley alumni University of Wisconsin–Madison faculty Year of birth missing (living people)
https://en.wikipedia.org/wiki/Wilbur%20H.%20Cramblet
Wilbur Haverfield Cramblet (July 10, 1892 – November 5, 1975) was an American college football coach, mathematics professor, and college president. He was the head football coach at Phillips University in Enid, Oklahoma from 1915 to 1916 and Bethany College in Bethany, West Virginia in 1918. He served as the dean of students at Bethany from 1918 to 1920 and later as the college president from 1934 to 1952. Cramblet died on November 5, 1975, at a hospital Wheeling, West Virginia. References External links 1892 births 1975 deaths 20th-century American academics Heads of universities and colleges in the United States Bethany Bison football coaches Phillips Haymakers football coaches Yale University alumni People from Harrison County, Ohio
https://en.wikipedia.org/wiki/James%20E.%20Addicott
James Edwin Addicott (February 23, 1869 – March 22, 1957) was an American football coach and mathematics professor. He served as the head football coach at San Jose State Normal School (now San José State University) in 1893, 1895 and 1900. Addicott was a fellow in the mathematics department at San Jose State from 1892 to 1900. He later served as high school principal at Isidore Newman School in New Orleans and San Francisco Polytechnic High School. References External links 1869 births 1957 deaths San Jose State Spartans football coaches Columbia University alumni Sportspeople from Taunton
https://en.wikipedia.org/wiki/Nathan%20Harter
Nathan Warren Harter (November 15, 1884 – January 9, 1952) was an American football coach and mathematics professor. He served as the head football coach at Thiel College in Greenville, Pennsylvania from 1911 to 1912, compiling a record of 3–5–1. Harter was a 1909 graduate of Wittenberg College. Head coaching record References External links 1884 births 1952 deaths Thiel Tomcats football coaches Wittenberg University alumni People from Medina, Ohio