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https://en.wikipedia.org/wiki/Andrew%20Putman
Andrew Putman (born October 22, 1979) is an American mathematician at the University of Notre Dame. His research fields include geometric group theory and low-dimensional topology. Putman earned his bachelor's degree from Rice University. In 2007, he obtained his doctorate from the University of Chicago, under the supervision of Benson Farb. He was a C. L. E. Moore Instructor at MIT from 2007-2010, and then served on the faculty at Rice from 2010-2016. He then moved to Notre Dame, where he is currently the Notre Dame Professor of Topology. In 2018, he became a fellow of the American Mathematical Society. In 2014, there was a Seminar Bourbaki talk by Aurélien Djament on Putman's work. Further, in 2013, Putman received the Sloan Research Fellowship and a National Science Foundation CAREER Award. References External links 1979 births Living people 21st-century American mathematicians University of Notre Dame faculty Rice University alumni Rice University faculty University of Chicago alumni Fellows of the American Mathematical Society Sloan Research Fellows Topologists Group theorists Massachusetts Institute of Technology School of Science faculty
https://en.wikipedia.org/wiki/EuroCup%20Basketball%20records%20and%20statistics
This page details statistics of the EuroCup Basketball. Unless notified these statistics concern all seasons since inception of the ULEB Cup in the 2002–03 season, including qualifying rounds of the EuroCup as per "Competition facts"; all matches before regular season count as "qualifying matches". General performances By club By country All-time top-25 EuroCup Basketball ranking Semi-final appearances By club Participating clubs in the EuroCup The following is a list of clubs that have played or will be playing in the EuroCup group stages. Italic: club was transferred from the EuroLeague. References External links Official website Statistics Basketball statistics
https://en.wikipedia.org/wiki/Intuitive%20statistics
Intuitive statistics, or folk statistics, is the cognitive phenomenon where organisms use data to make generalizations and predictions about the world. This can be a small amount of sample data or training instances, which in turn contribute to inductive inferences about either population-level properties, future data, or both. Inferences can involve revising hypotheses, or beliefs, in light of probabilistic data that inform and motivate future predictions. The informal tendency for cognitive animals to intuitively generate statistical inferences, when formalized with certain axioms of probability theory, constitutes statistics as an academic discipline. Because this capacity can accommodate a broad range of informational domains, the subject matter is similarly broad and overlaps substantially with other cognitive phenomena. Indeed, some have argued that "cognition as an intuitive statistician" is an apt companion metaphor to the computer metaphor of cognition. Others appeal to a variety of statistical and probabilistic mechanisms behind theory construction and category structuring. Research in this domain commonly focuses on generalizations relating to number, relative frequency, risk, and any systematic signatures in inferential capacity that an organism (e.g., humans, or non-human primates) might have. Background and theory Intuitive inferences can involve generating hypotheses from incoming sense data, such as categorization and concept structuring. Data are typically probabilistic and uncertainty is the rule, rather than the exception, in learning, perception, language, and thought. Recently, researchers have drawn from ideas in probability theory, philosophy of mind, computer science, and psychology to model cognition as a predictive and generative system of probabilistic representations, allowing information structures to support multiple inferences in a variety of contexts and combinations. This approach has been called a probabilistic language of thought because it constructs representations probabilistically, from pre-existing concepts to predict a possible and likely state of the world. Probability Statisticians and probability theorists have long debated about the use of various tools, assumptions, and problems relating to inductive inference in particular. David Hume famously considered the problem of induction, questioning the logical foundations of how and why people can arrive at conclusions that extend beyond past experiences - both spatiotemporally and epistemologically. More recently, theorists have considered the problem by emphasizing techniques for arriving from data to hypothesis using formal content-independent procedures, or in contrast, by considering informal, content-dependent tools for inductive inference. Searches for formal procedures have led to different developments in statistical inference and probability theory with different assumptions, including Fisherian frequentist statistics, Bayesian inference, and
https://en.wikipedia.org/wiki/Three-gap%20theorem
In mathematics, the three-gap theorem, three-distance theorem, or Steinhaus conjecture states that if one places points on a circle, at angles of , , , ... from the starting point, then there will be at most three distinct distances between pairs of points in adjacent positions around the circle. When there are three distances, the largest of the three always equals the sum of the other two. Unless is a rational multiple of , there will also be at least two distinct distances. This result was conjectured by Hugo Steinhaus, and proved in the 1950s by Vera T. Sós, , and Stanisław Świerczkowski; more proofs were added by others later. Applications of the three-gap theorem include the study of plant growth and musical tuning systems, and the theory of light reflection within a mirrored square. Statement The three-gap theorem can be stated geometrically in terms of points on a circle. In this form, it states that if one places points on a circle, at angles of from the starting point, then there will be at most three distinct distances between pairs of points in adjacent positions around the circle. An equivalent and more algebraic form involves the fractional parts of multiples of a real number. It states that, for any positive real number and integer , the fractional parts of the numbers divide the unit interval into subintervals with at most three different lengths. The two problems are equivalent under a linear correspondence between the unit interval and the circumference of the circle, and a correspondence between the real number and the Applications Plant growth In the study of phyllotaxis, the arrangements of leaves on plant stems, it has been observed that each successive leaf on the stems of many plants is turned from the previous leaf by the golden angle, approximately 137.5°. It has been suggested that this angle maximizes the sun-collecting power of the plant's leaves. If one looks end-on at a plant stem that has grown in this way, there will be at most three distinct angles between two leaves that are consecutive in the cyclic order given by this end-on view. For example, in the figure, the largest of these three angles occurs three times, between the leaves numbered 3 and 6, between leaves 4 and 7, and between leaves 5 and 8. The second-largest angle occurs five times, between leaves 6 and 1, 9 and 4, 7 and 2, 10 and 5, and 8 and 3. And the smallest angle occurs only twice, between leaves 1 and 9 and between leaves 2 and 10. The phenomenon of having three types of distinct gaps depends only on fact that the growth pattern uses a constant rotation angle, and not on the relation of this angle to the golden ratio; the same phenomenon would happen for any other rotation angle, and not just for the golden angle. However, other properties of this growth pattern do depend on the golden ratio. For instance, the fact that golden ratio is a badly approximable number implies that points spaced at this angle along the Fermat spiral (as
https://en.wikipedia.org/wiki/1969%E2%80%9370%20FK%20Partizan%20season
The 1969–70 season was the 24th season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1969–70 season. Players Squad information Friendlies Competitions Yugoslav First League Yugoslav Cup Inter-Cities Fairs Cup First round See also List of FK Partizan seasons References External links Official website Partizanopedia 1969-70 (in Serbian) FK Partizan seasons Partizan
https://en.wikipedia.org/wiki/List%20of%20Feh%C3%A9rv%C3%A1r%20FC%20records%20and%20statistics
Fehérvár Football Club is a professional Hungarian football club based in Székesfehérvár, Hungary. Player Most appearances Top scorers Record departures Record arrivals Most valuable arrivals Team records Nemzeti Bajnokság I First Nemzeti Bajnokság I match: First Magyar Kupa match: Biggest win: Videoton 7–0 Szombathelyi Haladás (2014–15 Nemzeti Bajnokság I) (12 April 2015, Sóstói Stadion), Videoton 7–0 BFC Siófok (2011–12 Nemzeti Bajnokság I) (19 November 2011) Heaviest defeats: Budapest Honvéd FC 5–1 Videoton (2007–08 Nemzeti Bajnokság I) (5 August 2005) In Europe Biggest win: Videoton 7–1 DAC Dunajska Streda (18 July 1993) (Intertoto Cup 1993) Heaviest defeat: 1. FC Magdeburg 5–0 Videoton (24 November 1976) 1976–77 UEFA Cup References External links records Videoton
https://en.wikipedia.org/wiki/Wolfgang%20Maier
Wolfgang Maier (born 13 January 1949) is a German psychiatrist and psychotherapist. Academic and professional career Wolfgang Maier first studied mathematics and economics at the Ludwig Maximilian University of Munich, graduating with diplomas in 1973. That same year he started studying medicine, also at the University of Munich. In 1980 he received his doctorate in medicine. In 1981 he started working at the Psychiatric University Clinic Mainz, first as a clinical scientist and doctor, before being promoted to senior physician and later to chief senior physician. In 1990 he qualified as a professor for the medical field of psychiatry. Concurrently, he went to the USA for several scientific work stays (esp. Cornell Medical School in New York City and Washington University School of Medicine in St. Louis, Missouri). He is a student of the deceased American and Canadian psychiatrists Gerald Klerman and Theodore Reich. In 1995 he was appointed to the chair of psychiatry and psychotherapy and as the director of the Department of Psychiatry and Psychotherapy at the University of Bonn. In 2018 he was given emeritus status. Ever since he has been the medical director for Research and Education at the Gezeitenhaus Clinic in Bonn. In addition, he works as a visiting consultant at the German Neuroscience Center since 2020. He used to be a spokesman for the competence networks "Dementia" (since 2005) and "Degenerative Dementia" (since 2007), both promoted by the German Federal Ministry for Education and Research. From 2012 to 2014 he was President of the (DGPPN). In 2004, 2013 and 2014 he was President of the DGPPN Congresses. Also, in 2000 Maier founded the World Psychiatric Association (WPA)’s section "Genetics in Psychiatry" and the European Psychiatric Association (EPA)’s section "Prevention of Mental Disorders". Since 2010 he has been a leading editor of the authoritative German medical journal "Der Nervenarzt" (The Neurologist). Moreover, Maier is a co-editor of the "European Archives of Psychiatry and Clinical Neuroscience". Wolfgang Maier is a member of the National Academy of Sciences Leopoldina (neuroscience section). He is also a member of the Berlin-Brandenburg Academy of Sciences and Humanities (BBAW) (biomedical class) and a corresponding member of the Heidelberg Academy of Sciences and Humanities. Focus of work Since 1985 Wolfgang Maier has been one of the initiators of genetic research on mental disorders using modern biometric and molecular methods. On the one hand, his work focuses on the study of genetic causes, manifestations and conditions for responding to the therapy of affective and schizophrenic disorders. On the other hand, he researches the risk factors, early symptoms and development of dementia and develops treatment guidelines for dementia. Since 2010 he has been a spokesman for the steering committee developing the S3 treatment guidelines "Dementia" (posted at the AWMF). He was a member (2007/08) of the Application C
https://en.wikipedia.org/wiki/1949%E2%80%9350%20FK%20Partizan%20season
The 1949–50 season was the fourth season in FK Partizan's existence. This article shows player statistics and matches that the club played during the 1949–50 season. Players First 11 Šoštarić, Kolaković, Čolić, Čajkovski, Jovanović, Jakovetić, Mihajlović, Pajević, Valok, Bobek, Atanacković Other players Grčević, Petrović, Drenovac, Lazarević, Senčar, Simonovski, Požega, Marjanović, Radunović, Racić, Vorgić, Hočevar, Bogojevac, Krajišnik, Šijaković, Stipić, Stanković, Popović i Kantardžić. Friendlies Competitions Yugoslav First League Yugoslav Cup See also List of FK Partizan seasons References External links Official website Partizanopedia 1950 (in Serbian) FK Partizan seasons Partizan
https://en.wikipedia.org/wiki/Jacsson
Jacsson Antonio Wichnovski (born 12 March 1994), commonly known as Jacsson, is a Brazilian footballer who currently plays as a goalkeeper for Novo Hamburgo. Career statistics Club Notes References 1994 births Living people Brazilian men's footballers Brazilian expatriate men's footballers Brazil men's youth international footballers Men's association football goalkeepers Campeonato Brasileiro Série A players Campeonato Brasileiro Série B players Bolivian Primera División players Sport Club Internacional players Santa Cruz Futebol Clube players Club Bolívar players Associação Desportiva São Caetano players Esporte Clube Novo Hamburgo players Brazilian expatriate sportspeople in Bolivia Expatriate men's footballers in Bolivia
https://en.wikipedia.org/wiki/Elchanan%20Mossel
Elchanan Mossel () is a professor of mathematics at the Massachusetts Institute of Technology. His primary research fields are probability theory, combinatorics, and statistical inference. Research Mossel's research spans a number of topics across mathematics, statistics, economics, and computer science, including combinatorial statistics, discrete function inequalities, isoperimetry, game theory, social choice, computational complexity, and computational evolutionary biology. His work on discrete Fourier analysis and functions with low influence includes important contributions such as the proof of the "Majority is Stablest" conjecture, together with Ryan O'Donnell and Krzysztof Oleszkiewicz, and the proof of the optimality of the Goemans–Williamson MAX-CUT algorithm (assuming the Unique Games Conjecture), with Subhash Khot, Guy Kindler and Ryan O’Donnell. Mossel has worked on the reconstruction problem on trees. He connected it to Steel's conjecture in Phylogenetic reconstruction, partially in work with Constantinos Daskalakis and Sébastien Roch. These result links the extremality of the Ising model on the Bethe lattice to a phase transition in the amount of data required for statistical inference on phylogenetic trees. With Joe Neeman and Allan Sly he established the role of the reconstruction problem on trees for the problem of detection in block models. Education and career Mossel graduated from the Open University of Israel in 1992 with a B.Sc. in mathematics. In 2000, he received his Ph.D. in mathematics from the Hebrew University. Mossel held a postdoctoral position at Microsoft Research and was a Miller Research Fellow at UC Berkeley before becoming a Professor at UC Berkeley, the Weizmann Institute, the University of Pennsylvania and finally MIT. Mossel is a prolific scholar, with more than 100 coauthors and over 150 papers listed in MathSciNet as of 2022. He has advised 10 graduate students who have subsequently held faculty positions at UCLA, Princeton, UC Berkeley, Caltech, the University of Wisconsin, the University of Texas, the Chinese University of Hong Kong and the University of Minnesota. Recognition 2005 Sloan Fellow in Computer Science. 2019 Simons Investigator Award in Mathematics. 2019 Class of fellows of the American Mathematical Society "for contributions to probability, combinatorics, computing, and especially the interface between them". 2020 Vannevar Bush Faculty Fellowship of the U.S. Department of Defense. 2021 Fellow of the Association for Computing Machinery "for contributions to theoretical computer science and inference". 2022 Special Sectional Lecture at International Congress of Mathematics 2022 titled "Combinatorial Statistics and the Sciences" (in sections 12 = probability, 13 = combinatorics, 14 = mathematics of computer science and 18 = stochastic and differential modeling). References 12 External links Elchanan Mossel's Home Page Living people 20th-century American mathematicians 2
https://en.wikipedia.org/wiki/Eugene%20Isaacson
Eugene Isaacson (1919–2008), was a US mathematician who pioneered modern numerical analysis. He was a mathematics and physics graduate of City College in New York, he then entered the graduate program in mathematics at New York University under the supervision of Kurt Otto Friedrichs, gaining a PhD on water waves on sloping beaches in 1949. His academic career was then spent at the Courant Institute until his retirement. Despite an initial interest in topology, Isaacson worked for most of his career in applied and computational mathematics and is best known for his work on the numerical solution of differential equations. His book with Herbert Keller Analysis of Numerical Methods was a leading textbook at the time. He served as editor for Mathematics of Computation and the SIAM Journal on Numerical Analysis. A special issue of Mathematics of Computation was published in 1989 to celebrate his 70th birthday. The contributors included his sons David and Eli Isaacson, also mathematicians, who wrote a paper together for this volume. The paper is dedicated to their father and their mother Muriel "for making this collaboration possible". References External links Numerical analysts 1919 births 2008 deaths 20th-century American mathematicians 21st-century American mathematicians Jewish American scientists New York University faculty Scientific computing researchers 20th-century American Jews 21st-century American Jews City College of New York alumni New York University alumni
https://en.wikipedia.org/wiki/Pyragas%20method
In the mathematics of chaotic dynamical systems, in the Pyragas method of stabilizing a periodic orbit, an appropriate continuous controlling signal is injected into the system, whose intensity is nearly zero as the system evolves close to the desired periodic orbit but increases when it drifts away from the desired orbit. Both the Pyragas and OGY (Ott, Grebogi and Yorke) methods are part of a general class of methods called "closed loop" or "feedback" methods which can be applied based on knowledge of the system obtained through solely observing the behavior of the system as a whole over a suitable period of time. The method was proposed by Lithuanian physicist . References External links Kęstutis Pyragas homepage Chaos theory Nonlinear systems
https://en.wikipedia.org/wiki/Kubilius%20model
In mathematics, the Kubilius model relies on a clarification and extension of a finite probability space on which the behaviour of additive arithmetic functions can be modeled by sum of independent random variables. The method was introduced in Jonas Kubilius's monograph Tikimybiniai metodai skaičių teorijoje (published in Lithuanian in 1959) / Probabilistic Methods in the Theory of Numbers (published in English in 1964) . Eugenijus Manstavičius and Fritz Schweiger wrote about Kubilius's work in 1992, "the most impressive work has been done on the statistical theory of arithmetic functions which almost created a new research area called Probabilistic Number Theory. A monograph (Probabilistic Methods in the Theory of Numbers) devoted to this topic was translated into English in 1964 and became very influential." References Further reading Number theory
https://en.wikipedia.org/wiki/Edward%20Burns%20Ross
Edward Burns Ross FRSE (28 September 1881 – 11 January 1947) was a 20th-century Scottish mathematician who served as a professor of mathematics at the Madras Christian College. Life Ross was born on 28 September 1881 in Maud, Aberdeenshire the son of Ann and William Ross, an Inland Revenue supervisor. Following his father's death in 1887, his school teacher mother moved the family to Edinburgh in 1888. He was then educated at George Watson's School and was school dux in 1898. He studied mathematics and physics at the University of Edinburgh graduating with an MA in 1902. He then continued with postgraduate studies, using a Ferguson Scholarship, in Mathematical Tripos (seventh wrangler, 1904) at the University of Cambridge, gaining a further MA in 1906. In 1906, he became assistant to Karl Pearson at University College, London staying for one academic year, and in 1907 obtained a post at Madras Christian College in India. His pupils included S. R. Ranganathan who later dedicated a book to him. Ross was a friend of G.H. Hardy and took an interest in the work of Srinivasa Ramanujam. In 1921 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were Sir Edmund Taylor Whittaker, Ellice Horsburgh, Cargill Gilston Knott and David Gibb. He retired due to ill-health in 1932 and went to live with his sisters at 41 Liberton Brae in south Edinburgh. He died on 11 January 1947. References 1881 births 1947 deaths People from Aberdeenshire People educated at George Watson's College Alumni of the University of Edinburgh Fellows of the Royal Society of Edinburgh
https://en.wikipedia.org/wiki/Hasibun%20Naher
Hasibun Naher is a Bangladeshi applied mathematics researcher and educator. In February 2018, she was one of five young women from developing countries to receive the OWSD-Elsevier Foundation Award. Her research has included the application of mathematics to tsunamis in order to improve predictions of how they develop. She is currently Associate Professor of Mathematics at BRAC University, Dhaka. References Living people People from Dhaka Bangladeshi mathematicians Bangladeshi women scientists Women mathematicians Year of birth missing (living people)
https://en.wikipedia.org/wiki/Jukkapant%20Punpee
Jukkapant Punpee (Thai: จักรพันธ์ ปั่นปี) is a Thai professional football manager and former player. Managerial statistics Honours International Thailand U23 Sea Games: 2001 Gold Asian Games: 2002 (Fourth place) References 1979 births Living people Jukkapant Punpee Footballers at the 2002 Asian Games SEA Games medalists in football Jukkapant Punpee Men's association football defenders Competitors at the 2001 SEA Games Jukkapant Punpee Jukkapant Punpee
https://en.wikipedia.org/wiki/Greek%20Basket%20League%20individual%20statistics
Greek Basket League (GBL) individual statistics are the season by season stats leaders of the top-tier level Greek Basket League, since the league first formed its A National Category, starting with the 1963–64 season. The season by season stats leaders in each statistical category are listed by the number of total accumulated stats in a given season, rather than by per game average, and include both the regular season and playoffs, as that is how the league counts its season by season stats leaders. Top scorers (since the 1963–64 season) The Greek Basket League counts official stats leaders by stats totals, and not by per game averages. It also counts the total stats for both regular season and playoffs combined. The league first held a playoffs round in the 1986–87 season. This list includes all of the top scorers of each season of the Greek Basket League, since the league first formed the A National Category, starting with the 1963–64 season. Performance Index Rating leaders (since the 1993–94 season) The Greek Basket League counts official stats leaders by stats totals, and not by per game averages. It also counts the total stats for both regular season and playoffs combined. The league first held a playoffs round in the 1986–87 season. This list includes all of the leaders in Performance Index Rating (PIR) of each season of the Greek Basket League, starting with the 1993–94 season. In the 2014–15 and 2015–16 seasons, the Greek Basket League's regular season PIR leader was considered to be an unofficial statistical "MVP award", that was based solely on this statistic. This is not to be confused with the official Greek Basket League MVP award, which is an award that is based on a voting process, and that is awarded at the end of each season's playoffs. Rebounding leaders (since the 1986–87 season) The Greek Basket League counts official stats leaders by stats totals, and not by per game averages. It also counts the total stats for both regular season and playoffs combined. The league first held a playoffs round in the 1986–87 season. This list includes all of the top rebounders of each season of the Greek Basket League, since the league first formed the A1 National Category, starting with the 1986–87 season. Assists leaders (since the 1988–89 season) The Greek Basket League counts official stats leaders by stats totals, and not by per game averages. It also counts the total stats for both regular season and playoffs combined. The league first held a playoffs round in the 1986–87 season. This list includes all of the assists leaders of each season of the Greek Basket League, since the league first formed the A1 National Category, starting with the 1988–89 season. References External links Official HEBA Site Greek Basket League Official English Site Insports.gr Greek League First Scorers In Points Sport24.gr Greek League Season By Season Best Performers Eurobasket.com Greek A1 League By Season Galanis Sports Data statistical
https://en.wikipedia.org/wiki/Variety%20of%20finite%20semigroups
In mathematics, and more precisely in semigroup theory, a variety of finite semigroups is a class of semigroups having some nice algebraic properties. Those classes can be defined in two distinct ways, using either algebraic notions or topological notions. Varieties of finite monoids, varieties of finite ordered semigroups and varieties of finite ordered monoids are defined similarly. This notion is very similar to the general notion of variety in universal algebra. Definition Two equivalent definitions are now given. Algebraic definition A variety V of finite (ordered) semigroups is a class of finite (ordered) semigroups that: is closed under division. is closed under taking finite Cartesian products. The first condition is equivalent to stating that V is closed under taking subsemigroups and under taking quotients. The second property implies that the empty product—that is, the trivial semigroup of one element—belongs to each variety. Hence a variety is necessarily non-empty. A variety of finite (ordered) monoids is a variety of finite (ordered) semigroups whose elements are monoids. That is, it is a class of (ordered) monoids satisfying the two conditions stated above. Topological definition In order to give the topological definition of a variety of finite semigroups, some other definitions related to profinite words are needed. Let A be an arbitrary finite alphabet. Let A+ be its free semigroup. Then let be the set of profinite words over A. Given a semigroup morphism , let be the unique continuous extension of to . A profinite identity is a pair u and v of profinite words. A semigroup S is said to satisfy the profinite identity u = v if, for each semigroup morphism , the equality holds. A variety of finite semigroups is the class of finite semigroups satisfying a set of profinite identities P. A variety of finite monoids is defined like a variety of finite semigroups, with the difference that one should consider monoid morphisms instead of semigroup morphisms . A variety of finite ordered semigroups/monoids is also given by a similar definition, with the difference that one should consider morphisms of ordered semigroups/monoids. Examples A few examples of classes of semigroups are given. The first examples uses finite identities—that is, profinite identities whose two words are finite words. The next example uses profinite identities. The last one is an example of a class that is not a variety. More examples are given in the article Special classes of semigroups. Using finite identities The most trivial example is the variety S of all finite semigroups. This variety is defined by the empty set of profinite equalities. It is trivial to see that this class of finite semigroups is closed under subsemigroups, finite products, and quotients. The second most trivial example is the variety 1 containing only the trivial semigroup. This variety is defined by the set of profinite equalities {x = y}. Intuitively, this equ
https://en.wikipedia.org/wiki/Clark%20Barwick
Clark Edward Barwick (born January 9, 1980) is an American mathematician and professor of pure mathematics at the University of Edinburgh. His research is centered around homotopy theory, algebraic K-theory, higher category theory, and related areas. Early life and education Barwick grew up in North Carolina, and in 2001 completed his BS in mathematics at the University of North Carolina at Chapel Hill. Barwick was then a graduate student at the University of Pennsylvania, and received his PhD in mathematics in 2005 under the direction of Tony Pantev. Career Barwick held postdoctoral fellowships at the Mathematisches Institut Göttingen (2005–2006) and at the Matematisk Institutt, Universitetet i Oslo (2006–2007). Barwick spent the year 2007–2008 at the Institute for Advanced Study, and from 2008–2010 was a Benjamin Peirce Lecturer at Harvard. In 2010 Barwick became an assistant professor at MIT, and in 2013 he became the Cecil and Ida Green Career Development Assistant Professor of Mathematics. In 2015 Barwick was a Fulbright visiting professor at the University of Glasgow and was promoted to Cecil and Ida Green Career Development Associate Professor of Mathematics at MIT, a position which he held until he became a reader at the University of Edinburgh in 2017. In 2020, Barwick was promoted to a professor at the University of Edinburgh. Research and notable works A theme in Barwick's work is the homotopy theory of higher categories. In his early career, he frequently collaborated with Dan Kan; much of their work was concerned with models for the homotopy theory of homotopy theories. In his joint work with Chris Schommer-Pries, Barwick and Schommer-Pries proved a unicity theorem for the homotopy theory of (∞,n)-categories. Barwick has also made contributions to algebraic K-theory. In particular, Barwick defined higher-categorical generalizations of Waldhausen categories and Waldhausen's S-construction and used these to extend Waldhausen's K-theory to the setting of (∞,1)-categories. Using this new theory, he proved the Theorem of the Heart for Waldhausen K-theory. In joint work with John Rognes, he generalized Quillen's Q-construction to the higher-categorical setting, providing higher-categorical generalizations of Quillen's Theorem B as well as Quillen's dévissage argument in the process. Much of his recent work has concerned equivariant algebraic K-theory and equivariant homotopy theory. Barwick won the 2019 Berwick Prize of the London Mathematical Society for his paper "On the algebraic K-theory of higher categories" where he "proves that Waldhausen's algebraic K-theory is the universal homology theory for ∞-categories, and uses this universality to reprove the major fundamental theorems of the subject in this new context." References External links Clark Barwick at the Mathematics Genealogy Project 20th-century American mathematicians 1980 births Living people American expatriates in the United Kingdom University of North Caroli
https://en.wikipedia.org/wiki/Kengo%20Fukudome
is a Japanese professional footballer who currently plays for Gainare Tottori. Club statistics Updated to 23 February 2018. References External links Profile at Mito HollyHock Profile at Azul Claro Numazu 1987 births Living people Kansai University alumni Association football people from Tottori Prefecture Japanese men's footballers Japanese expatriate men's footballers Regionalliga players J3 League players Singapore Premier League players Mito HollyHock players Alemannia Aachen players Azul Claro Numazu players Albirex Niigata Singapore FC players Gainare Tottori players Men's association football goalkeepers Japanese expatriate sportspeople in Singapore Japanese expatriate sportspeople in Germany Expatriate men's footballers in Singapore Expatriate men's footballers in Germany
https://en.wikipedia.org/wiki/Richard%20C.%20DiPrima%20Prize
The Richard C. DiPrima Prize is awarded every two years by the Society for Industrial and Applied Mathematics to an early career researcher who has done outstanding research in applied mathematics. First awarded in 1988, it honors the memory of Richard C. DiPrima, a former president of SIAM who also served for many years as a member of its council and board of trustees, as vice president for programs, and as a dedicated and committed member. Recipients The recipients of the Richard C. DiPrima Prize are: 1988: Mary E. Brewster 1990: No award 1992: Anne Bourlioux 1992: Robin Carl Young 1994: Stephen Jonathan Chapman 1996: David Paul Williamson 1998: Bart De Schutter 2000: Keith Lindsay 2002: Gang Hu 2004: Diego Dominici 2006: Xinwei Yu 2008: Daan Huybrechs 2010: Colin B. Macdonald 2012: Thomas Goldstein 2014: Thomas D. Trogdon 2016: Blake H. Barker 2018: Peter Gangl 2020: Anna Seigal See also List of mathematics awards References Awards of the Society for Industrial and Applied Mathematics
https://en.wikipedia.org/wiki/W.%20T.%20and%20Idalia%20Reid%20Prize
The W. T. and Idalia Reid Prize is an annual award presented by the Society for Industrial and Applied Mathematics (SIAM) for outstanding research in, or other contributions to, the broadly defined areas of differential equations and control theory. It was established in 1994 in memory of long-time University of Oklahoma mathematics professor W. T. Reid, who died in 1977. Recipients The recipients of the W .T. and Idalia Reid Prize are: 1994: Wendell H. Fleming 1996: Roger W. Brockett 1998: Jacques-Louis Lions 2000: Constantine Dafermos 2001: Eduardo D. Sontag 2002: Harvey Thomas Banks 2003: Harold J. Kushner 2004: Arthur J. Krener 2005: 2006: Peter E. Kloeden 2007: Héctor J. Sussmann 2008: Max Gunzburger 2009: Anders Lindquist 2010: John A. Burns 2011: Irena Lasiecka 2012: Ruth F. Curtain 2013: Tyrone Duncan 2014: Alain Bensoussan 2015: Francis Clarke 2016: Yannís G. Kevrekidis 2017: Jean-Michel Coron 2018: Volker Mehrmann 2019: Miroslav Krstić 2020: Roland Glowinski 2021: Karl Kunisch 2022: Enrique Zuazua 2023: Robert John McCann See also List of mathematics awards References Awards of the Society for Industrial and Applied Mathematics
https://en.wikipedia.org/wiki/Felix%20Konstandeliasz
Felix Konstandeliasz (born 26 March 1999) is a Swedish footballer. He is currently playing as a midfielder for Lunds SK. Career statistics As of 27 May 2018. References External links Malmö FF profile 1999 births Living people Swedish men's footballers Sweden men's youth international footballers Footballers from Skåne County Malmö FF players Mjällby AIF players Allsvenskan players Men's association football midfielders
https://en.wikipedia.org/wiki/Bing%E2%80%93Borsuk%20conjecture
In mathematics, the Bing–Borsuk conjecture states that every -dimensional homogeneous absolute neighborhood retract space is a topological manifold. The conjecture has been proved for dimensions 1 and 2, and it is known that the 3-dimensional version of the conjecture implies the Poincaré conjecture. Definitions A topological space is homogeneous if, for any two points , there is a homeomorphism of which takes to . A metric space is an absolute neighborhood retract (ANR) if, for every closed embedding (where is a metric space), there exists an open neighbourhood of the image which retracts to . There is an alternate statement of the Bing–Borsuk conjecture: suppose is embedded in for some and this embedding can be extended to an embedding of . If has a mapping cylinder neighbourhood of some map with mapping cylinder projection , then is an approximate fibration. History The conjecture was first made in a paper by R. H. Bing and Karol Borsuk in 1965, who proved it for and 2. Włodzimierz Jakobsche showed in 1978 that, if the Bing–Borsuk conjecture is true in dimension 3, then the Poincaré conjecture must also be true. The Busemann conjecture states that every Busemann -space is a topological manifold. It is a special case of the Bing–Borsuk conjecture. The Busemann conjecture is known to be true for dimensions 1 to 4. References Topology Conjectures Unsolved problems in mathematics Manifolds
https://en.wikipedia.org/wiki/Busemann%20G-space
In mathematics, a Busemann G-space is a type of metric space first described by Herbert Busemann in 1942. If is a metric space such that for every two distinct there exists such that (Menger convexity) every -bounded set of infinite cardinality possesses accumulation points for every there exists such that for any distinct points there exists such that (geodesics are locally extendable) for any distinct points , if such that , and (geodesic extensions are unique). then X is said to be a Busemann G-space. Every Busemann G-space is a homogenous space. The Busemann conjecture states that every Busemann G-space is a topological manifold. It is a special case of the Bing–Borsuk conjecture. The Busemann conjecture is known to be true for dimensions 1 to 4. References Metric spaces Topology Manifolds
https://en.wikipedia.org/wiki/Emily%20Willbanks
Emily Willbanks (born Emily West, November 25, 1930 – February 18, 2007) was a scientist at the Los Alamos National Laboratory from 1954–1990. She made advancements in the fields of mathematics, computing, and data systems. She used her background in physics and mathematics to contribute to defense weapons and high-performance storage systems at Los Alamos. She was instrumental in the advancement of a major weather centre in England, was involved in many classified projects for the government, and revolutionized the mass data storage system. Life Early years and education Emily West was born on November 25, 1930, in Fort Lauderdale, Florida. Her father, Frank M. West, was the superintendent for a private beach estate, and her mother was a homemaker. She was their only child. West attended the public high school. From a young age she expressed great interest in mathematics and science. West studied science at Duke University beginning in 1948. After her first year she received a scholarship for academic excellence and was the sole female physics major in her graduating class. She earned a B.S. in math and physics in 1952. She continued her education at the University of New Mexico where she completed a master's degree in physics in 1957. Early career West worked as an engineering aide in mathematics at Pratt & Whitney Aircraft Co from 1952 to 1954. Her work there involved hand calculations of heat flow and fluid dynamics for a feasibility study on nuclear-powered aircraft, in partnership with General Electric. Los Alamos National Laboratory West began working at the Los Alamos National Laboratory in 1954. While at Los Alamos National Laboratory her initial work involved hand calculations. This evolved into working with the MANIAC I computer for weapons applications. She continued working in the weapons division until the early seventies. She worked under Roger Lazarus in the Computer Division at Los Alamos National Laboratory until she retired in 1990. Her work in the computing department involved the design and maintenance of computer storage, including a project to design a clustered file system. Her work for this project included software development and computerizing weapons data. She adapted the same software in an English weather center database, the Meteorological Archival and Retrieval System. Personal life West met Eugene Willbanks at Los Alamos. At the time, she was working in the weapons department while Eugene worked in the computing division. They married in 1959, but had no children. Her husband died from a brain tumour in 1994. Emily Willbanks died on February 18, 2007, in Los Alamos, New Mexico. Legacy and major projects Weapons applications At the Los Alamos National Laboratory (LANL), Willbanks (née West) and a group of five or six others used their pre-written code to analyze weapons that were designed by the engineers at LANL. Their analysis produced data from simulated explosions and provided feedback to the eng
https://en.wikipedia.org/wiki/List%20of%20%C3%9Ajpest%20FC%20records%20and%20statistics
Újpest Football Club is a professional football club based in Újpest district of Budapest, Hungary. Team Record League victory — 16–0 vs. Nemzeti SC, (22 May 1945) Record 2nd League victory — 22–0 vs. Postatakarékpénztár, (20 November 1904) Record away victory — 10–0 vs. Salgótarjáni SE, (21 May 1939) and vs. Budai Barátság, (1 April 1946) Record League Defeat — 0–9 vs. Törekvés SE, (17 May 1914) Player Most League Appearances — 462, Ferenc Szusza (1941–60) Most League Goals scored — 392, Ferenc Szusza Most League Goals in a Season — 56, Gyula Zsengellér (1938–39) Most Goals scored in a Match — 6 Gyula Zsengellér v. Salgótarjáni SE, (11 November 1938) Gyula Zsengellér v. Salgótarjáni SE (21 May 1939) Gyula Zsengellér v. Budafoki FC, (27 May 1939) Lajos Várnai v. Testvériség SE, (22 June 1947) Ferenc Bene v. Haladás, (21 October 1962) Most Capped Player — 92, László Fazekas (1968–83) Attendance Record League Attendance (Megyeri úti stadion) — 40,000 vs. Ferencvárosi TC (September 18, 1949) Record League Attendance (Népstadion) — 90,000 vs. Budapest Honvéd (September 10, 1956) Record League Average Attendance - 27 923 in 1964 season. Longest unbeaten Run — 31 (League), (30 July 1945 – 17 June 1946) Most League Goals in a season: — 184 (1945–46) Most points in a season — 76 (34 games, 1996–97) References records Ujpest Ujpest
https://en.wikipedia.org/wiki/1998%E2%80%9399%20Saudi%20First%20Division
Statistics of the 1998–99 Saudi First Division. References External links Saudi Arabia Football Federation Saudi League Statistics Saudi First Division League seasons Saudi Professional League 2
https://en.wikipedia.org/wiki/Ferran%20Sunyer%20i%20Balaguer%20Prize
The Ferran Sunyer i Balaguer Prize is a prize in mathematics, first awarded in 1993. It honors the memory of Ferran Sunyer i Balaguer (1912–1967), a self-taught Catalan mathematician who, despite a serious physical disability, was very active in research in classical analysis. This award acknowledges an outstanding mathematical monograph of an expository nature, presenting the latest developments in an active area of mathematics research. The annually awarded prize consists of as of 2017. The winning monograph is also published in Birkhauser-Verlag's series Progress in Mathematics. It is awarded by the Ferran Sunyer i Balaguer Foundation. Recipients The recipients of the Ferran Sunyer i Balaguer Prize are: 1993: Alexander Lubotzky 1994: Klaus Schmidt 1995: Not awarded 1996: V. Kumar Murty, M. Ram Murty 1997: Albrecht Böttcher, Y. I. Karlovich 1998: Juan J. Morales-Ruiz 1999: Patrick Dehornoy 2000: Juan-Pablo Ortega, Tudor Ratiu 2001: Martin Golubitsky, Ian Stewart 2002: Alexander Lubotzky, Dan Segal 2002: André Unterberger 2003: Fuensanta Andreu-Vaillo, José M. Mazón 2004: Guy David 2005: Antonio Ambrosetti, Andrea Malchiodi 2005: 2006: Xiaonan Ma, George Marinescu 2007: Rosa M. Miró-Roig 2008: Luis Barreira 2009: Tim Browning 2010: Carlo Mantegazza 2011: Jayce Getz and Mark Goresky 2012: Angel Cano, Juan Pablo Navarrete, José Seade. 2013: Xavier Tolsa 2014: Veronique Fischer, Michael Ruzhansky 2015: Not awarded 2016: Vladimir Turaev, Alexis Virelizier 2017: Antoine Chambert-Loir, Johannes Nicaise, Julien Sebag 2018: Michael Ruzhansky, Durvudkhan Suragan 2019: Not awarded 2020: Urtzi Buijs, Giovanni Catino, Yves Félix, Paolo Mastrolia, Aniceto Murillo, Daniel Tanré 2021 Tim Browning 2022 Pascal Auscher, Moritz Egert 2023 Xavier Fernandez-Real, Xavier Ros-Oton See also List of mathematics awards References External links The Ferran Sunyer i Balaguer Prize (official website) Mathematics awards
https://en.wikipedia.org/wiki/Alice%20T.%20Schafer%20Prize
The Alice T. Schafer Mathematics Prize is given annually to an undergraduate woman for excellence in mathematics by the Association for Women in Mathematics (AWM). The prize, which carries a monetary award, is named for former AWM president and founding member Alice T. Schafer; it was first awarded in 1990. Recipients The recipients of the Alice T. Schafer Mathematics Prize are: 1990: Linda Green, Elizabeth Wilmer 1991: Jeanne Nielsen 1992: Zvezdelina E. Stankova 1993: Catherine O'Neil, Dana Pascovici 1994: Jing-Rebecca Li 1995: Ruth Britto-Pacumio 1996: Ioana Dumitriu 1997: No prize awarded (due to calendar change) 1998: Sharon Ann Lozano, Jessica A. Shepherd 1999: Caroline Klivans 2000: Mariana E. Campbell 2001: Jaclyn (Kohles) Anderson 2002: Kay Kirkpatrick, Melanie Wood 2003: Kate Gruher 2004: Kimberly Spears 2005: Melody Chan 2006: Alexandra Ovetsky 2007: Ana Caraiani 2008: Galyna Dobrovolska, Alison Miller 2009: Maria Monks 2010: Hannah Alpert, Charmaine Sia 2011: Sherry Gong 2012: Fan Wei 2013: MurphyKate Montee 2014: Sarah Peluse 2015: Sheela Devadas 2016: Mackenzie Simper 2017: Hannah Larson 2018: Libby Taylor 2019: Naomi Sweeting 2020: Natalia Pacheco-Tallaj 2021: Elena Kim 2022: Letong (Carina) Hong 2023: Faye Jackson See also List of mathematics awards References Awards and prizes of the Association for Women in Mathematics Awards established in 1990 1990 establishments in the United States Undergraduate education in the United States
https://en.wikipedia.org/wiki/AMS%20Distinguished%20Public%20Service%20Award
The AMS Distinguished Public Service Award, awarded every 2 years by the American Mathematical Society, recognizes a research mathematician who has made a distinguished contribution to the mathematics profession during the preceding five years. It was first awarded in 1990. Recipients The recipients of the AMS Distinguished Public Service Award are: 1990: Kenneth M. Hoffman 1991: No award 1992: Harvey B. Keynes 1993: I. M. Singer 1995: Donald J. Lewis 1997: No award made 1998: Kenneth C. Millett 2000: Paul J. Sally, Jr. 2002: Margaret H. Wright 2004: Richard A. Tapia 2006: Roger Howe 2008: Herbert Clemens 2010: Carlos Castillo-Chavez 2012: William McCallum 2014: Philip Kutzko 2016: Aloysius Helminck 2018: Sylvain Cappell See also List of mathematics awards References Distinguished Public Service Award Awards established in 1990 1990 establishments in the United States
https://en.wikipedia.org/wiki/Francois%20Deruyts%20Prize
The Francois Deruyts Prize, or Prix Francois Deruyts, is awarded every four years to recognize progress in synthetic or analytic superior geometry. It was established in 1902 by the Académie Royale de Belgique, Classe des Sciences, and carries a monetary award. Originally recipients had to be Belgian, but currently EU nationals are eligible. Recipients The recipients of the Francois Deruyts Prize are: 1906: Modeste Stuyvaert 1910: Joseph Fairon 1914: Lucien Godeaux 1918: No award 1926: No award 1930: Roland Deaux 1934: Augustin Delgleize 1938: Pol Burniat 1938: Octave Rozet 1942: Pierre Defrise 1946: François Jongmans 1946: Louis Nollet 1950: Léon-Élie Derwidué 1954: Guy Hirsch 1958: Fernand Backes 1962: Paul Dedecker 1962: Jacques Tits 1966: No award 1970: J.A. Thas 1974: Pierre Deligne 1978: Michel Cahen 1982: Francis Buekenhout 1986: Pierre Lecomte 1990: Luc Haine 1994: Luc Lemaire 1998: Simone Gutt 2002: Yves Félix 2006: Frédéric Bourgeois 2010: Lorenz Johannes Schwachhöfer 2014: Pascal Lambrechts 2018: Dimitri Leemans See also List of mathematics awards References Mathematics awards 1902 establishments in Belgium Awards established in 1902
https://en.wikipedia.org/wiki/Jacques%20Deruyts%20Prize
The Jacques Deruyts Prize, or Prix Jacques Deruyts, is a monetary prize that recognizes distinguished research contributions in Mathematics. It was first awarded in 1952 by the Académie Royale de Belgique, Classe des Sciences and is named for Jacques Deruyts (full name Deruyts, Joseph Gustave Jacques) who was a Belgian mathematician, known as a pioneer of group representation theory. Deruyts received his doctorate in 1883 from the University of Liège Recipients The recipients of the Jacques Deruyts Prize are: 1952: Paul Gillis 1956: Jean Teghem 1960: Félix Alardin 1964: No award 1968: No award 1972: Lucien Waelbroeck 1976: Jean-Pierre Gossez 1980: Paul Godin 1984: Jean Schmets 1988: Marc De Wilde 1992: Christian Fabry 1996: Jean Bricmont 2000: Jean Schmets 2004: F. Thomas Bruss 2008: Thierry De Pauw 2012: Denis Bonheure 2016: Siegfried Hörmann 2020: Jean Van Schaftingen See also List of mathematics awards References Mathematics awards
https://en.wikipedia.org/wiki/Israel%20Halperin%20Prize
The Israel Halperin Prize is awarded every five years by the Canadian Annual Symposium on Operator Theory and Operator Algebras to a member of the Canadian mathematical community who has recently obtained a doctorate and has made contributions to operator theory or operator algebras. It honors Israel Halperin, the founder of a group of researchers in operator algebras and operator theory at the University of Toronto who strongly influenced the field across Canada. First awarded in 1980. Recipients The recipients of are: 1980: Man-Duen Choi 1985: Kenneth R. Davidson 1985: David Handelman 1990: Ian F. Putnam 1995: Nigel Higson 2000: Guihua Gong 2000: Alexandru Nica 2010: Andrew Toms 2015: Serban Belinschi 2015: Zhuang Niu 2020: Matthew Kennedy 2020: Aaron Tikuisis See also List of mathematics awards References Mathematics awards
https://en.wikipedia.org/wiki/Basin-hopping
In applied mathematics, Basin-hopping is a global optimization technique that iterates by performing random perturbation of coordinates, performing local optimization, and accepting or rejecting new coordinates based on a minimized function value. The algorithm was described in 1997 by David J. Wales and Jonathan Doye. It is a particularly useful algorithm for global optimization in very high-dimensional landscapes, such as finding the minimum energy structure for molecules. The method is inspired from Monte-Carlo Minimization first suggested by Li and Scheraga. References Optimization algorithms and methods Randomized algorithms
https://en.wikipedia.org/wiki/Philippe%20Petitcolin
Philippe Petitcolin (born 1952) is a French businessman, and the CEO of Safran from April 2015 to December 2020. Petitcolin was born in 1952. He earned a bachelor's degree in mathematics, followed by a degree graduate from the Centre de Perfectionnement aux Affaires (CPA) business school, now part of HEC Paris. He was appointed as CEO of Safran in April 2015 and left the position at the end of 2020. He has been the vice-chairman of c (ASD) (Belgium) since April 2015. References 1952 births Living people People from Meuse (department) French chief executives Safran Group people Nancy-Université alumni HEC Paris alumni
https://en.wikipedia.org/wiki/Geely%20Yuanjing%20X3
The Geely Yuanjing X3 is a subcompact CUV produced by Chinese manufacturer Geely. An electric variant featuring a special color and trim redesign was rebadged as the Geometry EX3 or Kungfu Cow under the Geometry brand from 2021. Overview The Geely Yuanjing X3 was revealed in July 2017, and debuted in Q3 2017. The Yuanjing X3 was formerly known as the Yuanjing V3 during development, and was renamed prior to launch to fit into the later confirmed Geely Yuanjing crossover product series slotting between the Geely Yuanjing X1 and Geely Yuanjing X6. The Yuanjing X3 is based on the Geely Englon SC5-RV from 2011 to 2014, and utilizes the same engine, a 1.5 liter engine previously producing 94 hp for the Englon SC5-RV. The same 1.5 liter engine was tuned up to 102 hp and mated to a 5-speed manual gearbox or a 4-speed automatic gearbox. Geely Yuanjing X3 Pro and Maple/ Livan X3 Pro A facelift was launched in April 2021 called the Yuanjing X3 Pro. The X3 Pro update is powered by a 1.5-litre engine producing 109 hp and mated to a CVT gearbox. The Yuanjing X3 Pro was also rebadged and launched in May 2022 as the Maple X3 Pro as the first pure gasoline-powered vehicle under the relaunched Maple brand. Maple 30X EV The Maple 30X EV is a subcompact electric crossover SUV based on the Geely Yuanjing X3 with the exterior body being essentially a rebadge. The Maple 30x result of a partnership between Geely and Kandi Technologies. It was launched by the affiliate company of Kandi Technologies Group, Inc., Fengsheng Automotive in July 2020. Fengsheng also launched a mobility version of the Maple 30x customized for the urban mobility market. The motor of the Maple 30X has a maximum output of 70kW (94 hp) and a maximum torque of 180N.m, the electric driving range on one full charge is up to 306 km or 190 miles. The Maple 30X comes with express charging and standard charging options. Express charging enables the vehicle to be charged to 80% in 30 minutes. A home plug-in charging feature is also available for all future Maple brand electric vehicles. Geometry EX3 The Geometry EX3 launched in 2021 is a subcompact electric crossover SUV based on the Geely Yuanjing X3. It comes with a 37.23 kWh battery providing a claimed range of 322 kilometers (200 miles). The EX3 was only sold in 2021 and was replaced by the completely redesigned Geometry E in 2022. References 2010s cars Cars introduced in 2017 Cars of China Crossover sport utility vehicles Front-wheel-drive vehicles Yuanjing X3 Mini sport utility vehicles
https://en.wikipedia.org/wiki/Nilsemigroup
In mathematics, and more precisely in semigroup theory, a nilsemigroup or nilpotent semigroup is a semigroup whose every element is nilpotent. Definitions Formally, a semigroup S is a nilsemigroup if: S contains 0 and for each element a∈S, there exists a positive integer k such that ak=0. Finite nilsemigroups Equivalent definitions exists for finite semigroup. A finite semigroup S is nilpotent if, equivalently: for each , where is the cardinality of S. The zero is the only idempotent of S. Examples The trivial semigroup of a single element is trivially a nilsemigroup. The set of strictly upper triangular matrix, with matrix multiplication is nilpotent. Let a bounded interval of positive real numbers. For x, y belonging to I, define as . We now show that is a nilsemigroup whose zero is n. For each natural number k, kx is equal to . For k at least equal to , kx equals n. This example generalize for any bounded interval of an Archimedean ordered semigroup. Properties A non-trivial nilsemigroup does not contain an identity element. It follows that the only nilpotent monoid is the trivial monoid. The class of nilsemigroups is: closed under taking subsemigroups closed under taking quotients closed under finite products but is not closed under arbitrary direct product. Indeed, take the semigroup , where is defined as above. The semigroup S is a direct product of nilsemigroups, however its contains no nilpotent element. It follows that the class of nilsemigroups is not a variety of universal algebra. However, the set of finite nilsemigroups is a variety of finite semigroups. The variety of finite nilsemigroups is defined by the profinite equalities . References Semigroup theory
https://en.wikipedia.org/wiki/Legendre%20moment
In mathematics, Legendre moments are a type of image moment and are achieved by using the Legendre polynomial. Legendre moments are used in areas of image processing including: pattern and object recognition, image indexing, line fitting, feature extraction, edge detection, and texture analysis. Legendre moments have been studied as a means to reduce image moment calculation complexity by limiting the amount of information redundancy through approximation. Legendre moments With order of m + n, and object intensity function f(x,y): where m,n = 1, 2, 3, ... with the nth-order Legendre polynomials being: which can also be written: where D(n) = floor(n/2). The set of Legendre polynomials {Pn(x)} form an orthogonal set on the interval [−1,1]: A recurrence relation can be used to compute the Legendre polynomial: f(x,y) can be written as an infinite series expansion in terms of Legendre polynomials [−1 ≤ x,y ≤ 1.]: See also Image moment Legendre polynomial Zernike polynomials References Computer vision Orthogonal polynomials Polynomials Special hypergeometric functions
https://en.wikipedia.org/wiki/Prime%20omega%20function
In number theory, the prime omega functions and count the number of prime factors of a natural number Thereby (little omega) counts each distinct prime factor, whereas the related function (big omega) counts the total number of prime factors of honoring their multiplicity (see arithmetic function). That is, if we have a prime factorization of of the form for distinct primes (), then the respective prime omega functions are given by and . These prime factor counting functions have many important number theoretic relations. Properties and relations The function is additive and is completely additive. If divides at least once we count it only once, e.g. . If divides times then we count the exponents, e.g. . As usual, means is the exact power of dividing . If then is squarefree and related to the Möbius function by If then is a prime number. It is known that the average order of the divisor function satisfies . Like many arithmetic functions there is no explicit formula for or but there are approximations. An asymptotic series for the average order of is given by where is the Mertens constant and are the Stieltjes constants. The function is related to divisor sums over the Möbius function and the divisor function including the next sums. The characteristic function of the primes can be expressed by a convolution with the Möbius function: A partition-related exact identity for is given by where is the partition function, is the Möbius function, and the triangular sequence is expanded by in terms of the infinite q-Pochhammer symbol and the restricted partition functions which respectively denote the number of 's in all partitions of into an odd (even) number of distinct parts. Continuation to the complex plane A continuation of has been found, though it is not analytic everywhere. Note that the normalized function is used. Average order and summatory functions An average order of both and is . When is prime a lower bound on the value of the function is . Similarly, if is primorial then the function is as large as on average order. When is a power of 2, then . Asymptotics for the summatory functions over , , and are respectively computed in Hardy and Wright as where is the Mertens constant and the constant is defined by Other sums relating the two variants of the prime omega functions include and Example I: A modified summatory function In this example we suggest a variant of the summatory functions estimated in the above results for sufficiently large . We then prove an asymptotic formula for the growth of this modified summatory function derived from the asymptotic estimate of provided in the formulas in the main subsection of this article above. To be completely precise, let the odd-indexed summatory function be defined as where denotes Iverson bracket. Then we have that The proof of this result follows by first observing that and then applying
https://en.wikipedia.org/wiki/Roger%20Mead
Roger Mead (1938 – 10 August 2015) was an English statistician and Emeritus Professor of Applied Statistics at the University of Reading. He is known for his paper with John Nelder on the widely-used Nelder–Mead method and for his work on statistical methods for agriculture and the design of experiments. He was made an Honorary Life Member of the International Biometric Society in 2014. Books Statistical methods in agriculture and experimental biology (with Robert Curnow). 1983 The design of experiments: statistical principles for practical applications. 1988 Statistical principles for the design of experiments: applications to real experiments (with Steven G. Gilmour and Andrew Mead). 2012 References 1938 births 2015 deaths English statisticians Alumni of the University of Cambridge Academics of the University of Reading
https://en.wikipedia.org/wiki/Andreas%20Dress
Andreas Dress (born 26 August 1938) is a German mathematician specializing in geometry, combinatorics and mathematical biology. Dress earned his PhD from the University of Kiel in 1962, under the supervision of Friedrich Bachmann and Karl-Heinrich Weise. His thesis is entitled Konstruktion metrischer Ebenen. He has been a professor of mathematics at the University of Bielefeld since 1969. In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin. See also Split networks SplitsTree T-theory Tight span References Living people 1938 births 20th-century German mathematicians University of Kiel alumni Academic staff of Bielefeld University
https://en.wikipedia.org/wiki/Mathematics%20%28journal%29
Mathematics is a semi-monthly peer-reviewed open-access scientific journal that covers all aspects of mathematics. It publishes theoretical and experimental research articles, short communications, and reviews. It was established in 2013 and is published by MDPI. The editor-in-chief is Francisco Chiclana (De Montfort University). Abstracting and indexing The journal is abstracted and indexed in: Current Contents/Physical, Chemical & Earth Sciences EBSCO databases Metadex ProQuest databases Science Citation Index Expanded Scopus zbMATH Open (from 2013 to 2018) According to the Journal Citation Reports, the journal has a 2021 impact factor of 2.592. References External links English-language journals MDPI academic journals Mathematics journals Academic journals established in 2013 Semi-monthly journals
https://en.wikipedia.org/wiki/Forbes-Mabry%20House
The Forbes-Mabry House is a historic house in Clarksville, Tennessee, U.S.. History The house was built in 1859 for William A. Forbes, a professor of Mathematics and Natural History at Stewart College, later known as Rhodes College, who was also a tobacco investor and served on the board of the Memphis, Clarksville and Louisville Railroad. During the American Civil War, Forbes joined the Confederate States Army, and he died at the Second Battle of Bull Run. Congressman Cave Johnson, Mrs. Forbes' step-father, lived in the house with her during the Civil War. His three sons from another marriage also served in the CSA - two of them in the 14th Tennessee Infantry under Col. Forbes. Mrs. Forbes lived in the house until her death in 1891, and it was purchased by Thomas L. Mabry in 1899. It remained in the Mabry family until 1973. By 2011, it was the residence of Patsy Sharpe, an ornament designer. Architectural significance The house was designed in the Italianate architectural style. It has been listed on the National Register of Historic Places since January 12, 1995. References National Register of Historic Places in Montgomery County, Tennessee Italianate architecture in Tennessee Houses completed in 1859
https://en.wikipedia.org/wiki/Operator%20monotone%20function
In linear algebra, the operator monotone function is an important type of real-valued function, fully classified by Charles Löwner in 1934. It is closely allied to the operator concave and operator concave functions, and is encountered in operator theory and in matrix theory, and led to the Löwner–Heinz inequality. Definition A function defined on an interval is said to be operator monotone if whenever and are Hermitian matrices (of any size/dimensions) whose eigenvalues all belong to the domain of and whose difference is a positive semi-definite matrix, then necessarily where and are the values of the matrix function induced by (which are matrices of the same size as and ). Notation This definition is frequently expressed with the notation that is now defined. Write to indicate that a matrix is positive semi-definite and write to indicate that the difference of two matrices and satisfies (that is, is positive semi-definite). With and as in the theorem's statement, the value of the matrix function is the matrix (of the same size as ) defined in terms of its 's spectral decomposition by where the are the eigenvalues of with corresponding projectors The definition of an operator monotone function may now be restated as: A function defined on an interval said to be operator monotone if (and only if) for all positive integers and all Hermitian matrices and with eigenvalues in if then See also References Further reading Matrix theory Operator theory
https://en.wikipedia.org/wiki/South%20African%20ultra-long%20distances%20running%20performances%20%28100km%20and%20further%29
South Africans have been participated in various running events 100 kilometres and longer. Some is on road, track or trail. The statistics below show the best performances irrespective of the surface. 100 km The current world scenario is as follows; Men World record: Ritchie, D. 6:10:20, Date: 28 October 1978, London United Kingdom. Women World record: Abe, T. 6:33:11, Date: 25 June 2000, Ybetsu- Saroma- Tokara, Japan. The top 3 South African performances were: 100 miles The current world scenario is as follows; Men World record: Bitter, Z 11:19:18, Date: 25 August 2019, Milwaukee, USA Women World record : Herron, C. 12:42:40, Date: 11 November 2017, Vienna IL USA The top 3 South African performances were: 24 Hour running The current world scenario is as follows; Men World record : Kouros, Y. 303.50 km, Date: 5 October 1997, Adelaide Australia Women World record : Herron, C 260.6 km Date: 9 December 2018, Phoenix, USA The top South African performances were: 48 Hour running The current world scenario is as follows; Men World record : Kouros, Y. 473.49 km, Date: 5 May 1996, Surgeres France Women World record : Inagaki, S. 397.10 Date: 23 May 2010, Surgeres, France The top South Africans are: 6 Days running The current world scenario is as follows; Men World record : Kouros, Y. 1036.8 km, Date: 26 November 2005 Women World record : Barwick, S. 883.63 km Date: 24 November 1990, Campbelltown, Australia The top South Africans are: 24 hour mile relay The rules are as follows: A team consist out of ten runners. Each runner runs a mile, before the second person takes over. Runners needs to run in sequence and if a runner cannot run, that runners falls out and the team gets reduced. The minimum runners left must be two. The current world scenario is as follows; Men world record: Team- Puma Tyneside Running Club of Great Britain; Date- 11 September 1994; Location- Jarrow; Distance 302 miles 375 yards. Women world record: Team- LG Kappelberg of Germany; Date- 1982; Location- Mörlenbach; Distance 235 miles 816 yards. The top South African are: References South African ultramarathon runners
https://en.wikipedia.org/wiki/Reduction%20compass
The reduction compass or proportional dividers is a geometry tool with asymmetric-length branches to allow performing homothetic transformations, reproducing a pattern while enlarging or reducing its size and conserving angles. It was invented by Fabrizio Mordente before 1567. Use and principle The reduction compass is made of two branches, with two points each. Several types exist, including the following: simple reduction compass: the pivot is fixed, and the enlargement factor is determined by the length difference between the small and long end of the branches; mobile-headed reduction compass: the pivot is mounted on a slide, and its position determines the enlargement factor. The underlying principle is that of proportionality of the sides of two similar isosceles triangles. The reduction compass was customarily used in geography to change the scale of maps. References Technical drawing tools Drawing aids Stonemasonry tools
https://en.wikipedia.org/wiki/Crinkled%20arc
In mathematics, and in particular the study of Hilbert spaces, a crinkled arc is a type of continuous curve. The concept is usually credited to Paul Halmos. Specifically, consider where is a Hilbert space with inner product We say that is a crinkled arc if it is continuous and possesses the crinkly property: if then that is, the chords and are orthogonal whenever the intervals and are non-overlapping. Halmos points out that if two nonoverlapping chords are orthogonal, then "the curve makes a right-angle turn during the passage between the chords' farthest end-points" and observes that such a curve would "seem to be making a sudden right angle turn at each point" which would justify the choice of terminology. Halmos deduces that such a curve could not have a tangent at any point, and uses the concept to justify his statement that an infinite-dimensional Hilbert space is "even roomier than it looks". Writing in 1975, Richard Vitale considers Halmos's empirical observation that every attempt to construct a crinkled arc results in essentially the same solution and proves that is a crinkled arc if and only if, after appropriate normalizations, where is an orthonormal set. The normalizations that need to be allowed are the following: a) Replace the Hilbert space H by its smallest closed subspace containing all the values of the crinkled arc; b) uniform scalings; c) translations; d) reparametrizations. Now use these normalizations to define an equivalence relation on crinkled arcs if any two of them become identical after any sequence of such normalizations. Then there is just one equivalence class, and Vitale's formula describes a canonical example. See also References Banach spaces Differential calculus Hilbert spaces Topological vector spaces
https://en.wikipedia.org/wiki/Jacques%20Riguet
Jacques Riguet (1921 to October 20, 2013) was a French mathematician known for his contributions to algebraic logic and category theory. According to Gunther Schmidt and Thomas Ströhlein, "Alfred Tarski and Jacques Riguet founded the modern calculus of relations". Career Already at his lycée, Riguet was impressed by the power of geometric reasoning. He studied Louis Couturat and Bourbaki, who made contributions to logic and set theory. Riguet studied higher mathematics with Albert Châtelet and was introduced to lattices. In 1948 he published "Relations binaires, fermetures, correspondances de Galois" which revived the calculus of binary relations. He published his thesis Fondements de la Theorie de Relations Binaires in October 1951. In 1954 Riguet gave a plenary address at the International Congress of Mathematicians in Amsterdam, speaking on the applications of binary relations to algebra and machine theory. For a time, Riguet attended the seminary of Jacques Lacan. Riguet was employed at Centre national de la recherche scientifique until 1957. Relations In Riguet's work the composition of relations is the basis for characterizing relations, replacing the element-wise descriptions that use logical formulations. For example, he described the Schröder rules. His work was reviewed in Journal of Symbolic Logic by Øystein Ore. Some of Riguet’s contributions can be described using structure of the logical matrix associated with a relation. If u and v are logical vectors, then their logical outer product produces the associated logical matrix Riguet calls the associated relation a rectangular relation, and if it happens to be symmetric it is a square relation. In 1950 he submitted "Sur les ensembles reguliers de relations binaires", and an article on difunctional relations, those with logical matrix in a block diagonal form. The following year he provided an algebraic characterization of heterogeneous relations with a logical matrix comparable to a Ferrers diagram. Since Ferrers diagrams order the partition of an integer, Riguet extended order theory beyond relations restricted to one set. In 1954 Riguet described the extension of the calculus of binary relations to a calculus of Boolean matrices. Category theory In 1958 Riguet went to Zurich, working with IBM , studying category theory. He published the following papers on that topic: 1962: "Programmation et theorie des categories", in Proceedings of Symposium on Symbolic Languages and Data Processing, Rome (1961), pp 88–98, Gordon & Breach 1973: "Probabilites et theorie de la decision du point de vue de la theorie des categories" (Amiens colloquium) Cahiers de Topologie et Géométrie Différentielle Catégoriques 14(2) 1975 : "Theorie des jeux et funciones de Grundy du point de vue de la theorie des categories" (TAC-Chantilly) Cahiers de Topologie et Géométrie Différentielle Catégoriques 16(4) : 441 1989 : "Galois correspondences in category theory", Hesselberg-Combinatorics 1992: (with
https://en.wikipedia.org/wiki/Gekko%20%28optimization%20software%29
The GEKKO Python package solves large-scale mixed-integer and differential algebraic equations with nonlinear programming solvers (IPOPT, APOPT, BPOPT, SNOPT, MINOS). Modes of operation include machine learning, data reconciliation, real-time optimization, dynamic simulation, and nonlinear model predictive control. In addition, the package solves Linear programming (LP), Quadratic programming (QP), Quadratically constrained quadratic program (QCQP), Nonlinear programming (NLP), Mixed integer programming (MIP), and Mixed integer linear programming (MILP). GEKKO is available in Python and installed with pip from PyPI of the Python Software Foundation. pip install gekko GEKKO works on all platforms and with Python 2.7 and 3+. By default, the problem is sent to a public server where the solution is computed and returned to Python. There are Windows, MacOS, Linux, and ARM (Raspberry Pi) processor options to solve without an Internet connection. GEKKO is an extension of the APMonitor Optimization Suite but has integrated the modeling and solution visualization directly within Python. A mathematical model is expressed in terms of variables and equations such as the Hock & Schittkowski Benchmark Problem #71 used to test the performance of nonlinear programming solvers. This particular optimization problem has an objective function and subject to the inequality constraint and equality constraint . The four variables must be between a lower bound of 1 and an upper bound of 5. The initial guess values are . This optimization problem is solved with GEKKO as shown below. from gekko import GEKKO m = GEKKO() # Initialize gekko # Initialize variables x1 = m.Var(value=1, lb=1, ub=5) x2 = m.Var(value=5, lb=1, ub=5) x3 = m.Var(value=5, lb=1, ub=5) x4 = m.Var(value=1, lb=1, ub=5) # Equations m.Equation(x1 * x2 * x3 * x4 >= 25) m.Equation(x1 ** 2 + x2 ** 2 + x3 ** 2 + x4 ** 2 == 40) m.Obj(x1 * x4 * (x1 + x2 + x3) + x3) # Objective m.solve(disp=False) # Solve print("x1: " + str(x1.value)) print("x2: " + str(x2.value)) print("x3: " + str(x3.value)) print("x4: " + str(x4.value)) print("Objective: " + str(m.options.objfcnval)) Applications of GEKKO Applications include cogeneration (power and heat), drilling automation, severe slugging control, solar thermal energy production, solid oxide fuel cells, flow assurance, Enhanced oil recovery, Essential oil extraction, and Unmanned Aerial Vehicles (UAVs). There are many other references to APMonitor and GEKKO as a sample of the types of applications that can be solved. GEKKO is developed from the National Science Foundation (NSF) research grant #1547110 and is detailed in a Special Issue collection on combined scheduling and control. Other notable mentions of GEKKO are the listing in the Decision Tree for Optimization Software, added support for APOPT and BPOPT solvers, projects reports of the online Dynamic Optimization course from international participants. GEKKO is a topic in online forums where users are
https://en.wikipedia.org/wiki/Jouanolou%27s%20trick
In algebraic geometry, Jouanolou's trick is a theorem that asserts, for an algebraic variety X, the existence of a surjection with affine fibers from an affine variety W to X. The variety W is therefore homotopy-equivalent to X, but it has the technically advantageous property of being affine. Jouanolou's original statement of the theorem required that X be quasi-projective over an affine scheme, but this has since been considerably weakened. Jouanolou's construction Jouanolou's original statement was: If X is a scheme quasi-projective over an affine scheme, then there exists a vector bundle E over X and an affine E-torsor W. By the definition of a torsor, W comes with a surjective map to X and is Zariski-locally on X an affine space bundle. Jouanolou's proof used an explicit construction. Let S be an affine scheme and . Interpret the affine space as the space of (r + 1) × (r + 1) matrices over S. Within this affine space, there is a subvariety W consisting of idempotent matrices of rank one. The image of such a matrix is therefore a point in X, and the map that sends a matrix to the point corresponding to its image is the map claimed in the statement of the theorem. To show that this map has the desired properties, Jouanolou notes that there is a short exact sequence of vector bundles: where the first map is defined by multiplication by a basis of sections of and the second map is the cokernel. Jouanolou then asserts that W is a torsor for . Jouanolou deduces the theorem in general by reducing to the above case. If X is projective over an affine scheme S, then it admits a closed immersion into some projective space . Pulling back the variety W constructed above for along this immersion yields the desired variety W for X. Finally, if X is quasi-projective, then it may be realized as an open subscheme of a projective S-scheme. Blow up the complement of X to get , and let denote the inclusion morphism. The complement of X in is a Cartier divisor, and therefore i is an affine morphism. Now perform the previous construction for and pull back along i. Thomason's construction Robert Thomason observed that, by making a less explicit construction, it was possible to obtain the same conclusion under significantly weaker hypotheses. Thomason's construction first appeared in a paper of Weibel. Thomason's theorem asserts: Let X be a quasicompact and quasiseparated scheme with an ample family of line bundles. Then an affine vector bundle torsor over X exists. Having an ample family of line bundles was first defined in SGA 6 Exposé II Définition 2.2.4. Any quasi-projective scheme over an affine scheme has an ample family of line bundles, as does any separated locally factorial Noetherian scheme. Thomason's proof abstracts the key features of Jouanolou's. By hypothesis, X admits a set of line bundles L0, ..., LN and sections s0, ..., sN whose non-vanishing loci are affine and cover X. Define Xi to be the non-vanishing lo
https://en.wikipedia.org/wiki/Ahmed%20Hammoudan
Ahmed Hammoudan (born 12 April 1991 in Chefchaouen) is a Moroccan player who plays for AS FAR as a winger. Career statistics Club Honours Moroccan Local African Nations Championship: 2018 IR Tanger Botola: 2017–18 Botola 2: 2014–15 AS FAR Botola: 2022–23 Al-Sailiya SC Qatari Stars Cup: 2020–21 Individual Botola Best Player of the Season: 2017–18. Botola Best Promising Player of the Season: 2016–17. References 1991 births Living people People from Chefchaouen Moroccan men's footballers Moroccan expatriate men's footballers Men's association football wingers IR Tanger players Al Raed FC players Al-Khor SC players Al-Sailiya SC players Umm Salal SC players AS FAR (football club) players Botola players Saudi Pro League players Qatar Stars League players Expatriate men's footballers in Saudi Arabia Expatriate men's footballers in Qatar Moroccan expatriate sportspeople in Saudi Arabia Moroccan expatriate sportspeople in Qatar 2018 African Nations Championship players Morocco men's A' international footballers
https://en.wikipedia.org/wiki/L%C3%A9vy%E2%80%93Steinitz%20theorem
In mathematics, the Lévy–Steinitz theorem identifies the set of values to which rearrangements of an infinite series of vectors in Rn can converge. It was proved by Paul Lévy in his first published paper when he was 19 years old. In 1913 Ernst Steinitz filled in a gap in Lévy's proof and also proved the result by a different method. In an expository article, Peter Rosenthal stated the theorem in the following way. The set of all sums of rearrangements of a given series of vectors in a finite-dimensional real Euclidean space is either the empty set or a translate of a subspace (i.e., a set of the form v + M, where v is a given vector and M is a linear subspace). See also Riemann series theorem References Mathematical series Permutations Summability theory Theorems in analysis
https://en.wikipedia.org/wiki/Melania%20Alvarez
Melania Alvarez de Adem is a Mexican mathematics educator who works as the Education Coordinator at the Pacific Institute for the Mathematical Sciences (PIMS), and Outreach Coordinator for the Department of Mathematics at the University of British Columbia in Vancouver. Education Alvarez grew up in Mexico City, where she completed her undergraduate education at the National Autonomous University of Mexico. She later earned master's degrees in economics and anthropology from the University of Wisconsin–Madison and in operations research from Stanford University. In 2016 she completed a Ph.D. in mathematics education at Simon Fraser University under the supervision of Peter Liljedahl. Outreach Alvarez gained interest in helping disadvantaged minorities with mathematics from an incident of racial discrimination that occurred in Madison, where her sixth-grade son (who had inherited his mother's talent for mathematics) was placed in a lower-level mathematics track because of his Hispanic ethnicity. She moved to Vancouver in 2004, and began the PIMS Emerging Indigenous Scholars Summer School Program at UBC in 2007. At UBC, Alvarez is known for the summer mathematics camps she developed to improve the mathematical education of indigenous secondary-school students. She is the 2012 winner of the Adrien Pouliot Award, given by the Canadian Mathematical Society for significant contributions to mathematics education in Canada. As well as her work with indigenous people, Alvarez has been active in organizing mathematics competitions, workshops, and fundraising for mathematics education among the general population. References Year of birth missing (living people) Living people Mexican mathematicians Mexican women mathematicians Canadian mathematicians Canadian women mathematicians Mathematics educators National Autonomous University of Mexico alumni Stanford University alumni University of Wisconsin–Madison College of Letters and Science alumni Simon Fraser University alumni
https://en.wikipedia.org/wiki/Cynthia%20Wyels
Cynthia Jean Wyels is an American mathematician whose interests include linear algebra, combinatorics, and mathematics education, and who is known for her research in graph pebbling and radio coloring of graphs. She is a professor of mathematics at California State University Channel Islands (CSUCI) in Camarillo, California, where she also co-directs the Alliance for Minority Participation. Education and Career Wyels did her undergraduate studies at Pomona College, and earned a master's degree from the University of Michigan. She completed her Ph.D. in mathematics from the University of California, Santa Barbara in 1994; her dissertation, Isomorphism Problems In A Matrix Setting, was supervised by Morris Newman. She has taught mathematics at Weber State University and the United States Military Academy, and was chair of mathematics at California Lutheran University before moving to CSUCI. Awards In 2012, Wyels was a winner of the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics, given by the Mathematical Association of America to recognize teaching excellence that extends beyond a single institution. Her award citation particularly recognized her mentorship of Mexican and first-generation college students through the Research Experiences for Undergraduates program and through personal donations to education in Mexico, and her foundation of a mentorship program at CSUCI. In 2017, the Society for the Advancement of Chicanos/Hispanics and Native Americans in Science gave Wyels their distinguished mentor award. She received the CSUCI UndocuAlly of the Year award in 2017-18. References Year of birth missing (living people) Living people 20th-century American mathematicians Women mathematicians Graph theorists Pomona College alumni University of Michigan alumni University of California, Santa Barbara alumni Weber State University faculty United States Military Academy faculty California Lutheran University faculty California State University Channel Islands faculty 21st-century American mathematicians
https://en.wikipedia.org/wiki/Margaret%20M.%20Robinson
Margaret Maher Robinson is an American mathematician specializing in number theory and the theory of zeta functions. She is the Julia and Sarah Ann Adams Professor of Mathematics at Mount Holyoke College. Education and career Robinson graduated from Bowdoin College in 1979, and earned her Ph.D. in 1986 from Johns Hopkins University. Her dissertation, On the Complex Powers Associated with the Twisted Cases of the Determinant and the Pfaffian, was supervised by Jun-Ichi Igusa. She taught briefly at Hampshire College before joining the Mount Holyoke faculty. Recognition In 2013 she was one of the winners of the Deborah and Franklin Haimo Awards for Distinguished College or University Teaching of Mathematics. Her award citation credited her undergraduate mentorship through Research Experiences for Undergraduates, and her intensive summer programs for young women in number theory. In 2020, she was the recipient of the M. Gweneth Humphreys Award, given by the Association for Women in Mathematics. The award states that Robinson "has been a mainstay of thoughtful teaching and mentoring for many years at Mount Holyoke College, an institution whose mission is to educate women. Her focus is not just on the top students, but on making a meaningful (and joyful) mathematical intervention for all the generations of learners that have crossed her path." Robinson was selected as a Fellow of the Association for Women in Mathematics in the class of 2024 "for her support and empowerment of several generations of women in mathematics; for her mentoring within the Hudson River Undergraduate Mathematics Conference and the Carleton Summer Math Program; and for seeing the spark in each individual under her guidance and supporting them in the fulfillment of rewarding careers in mathematics." References Year of birth missing (living people) Living people 21st-century American mathematicians Women mathematicians Number theorists Bowdoin College alumni Johns Hopkins University alumni Hampshire College faculty Mount Holyoke College faculty 20th-century American mathematicians Fellows of the Association for Women in Mathematics
https://en.wikipedia.org/wiki/Patricia%20D.%20Shure
Patricia D. Shure is an American mathematics educator. With Morton Brown and B. Alan Taylor, she is known for developing "Michigan calculus", a style of teaching calculus and combining cooperative real-world problem solving by the students with an instructional focus on conceptual understanding. She is a senior lecturer emerita of mathematics at the University of Michigan, where she taught from 1982 until her retirement in 2006. Education and career Shure did both her undergraduate and graduate studies at the University of Michigan, earning a bachelor's degree in 1958 and a master's degree in 1960. After working as a secondary school teacher for two decades, she returned to Michigan in 1982 as coordinator for mathematics and science in the Coalition for the Use of Learning Skills. She also became a lecturer in mathematics, and later a senior lecturer. Mathematics education At Michigan, she played a key role not just in teaching mathematics, but in training the other instructors and graduate students there to be good teachers of mathematics. Her work on calculus reform began in 1992; it was based in part on the "Harvard calculus" project led by Andrew M. Gleason, and her instructor training materials have been widely used at other universities. With Gleason and others, she became the author of a widely used precalculus textbook, Functions Modeling Change: A Preparation for Calculus (Wiley, 2000; 5th ed., 2017). The program she initiated at Michigan continues in successful use there. Recognition In 2001 the Association for Women in Mathematics gave Shure their Louise Hay Award for her contributions to mathematics education. In the same year she became the AWM/MAA Falconer Lecturer, speaking on "The Scholarship of Learning and Teaching: A Look Back and a Look Ahead". References Year of birth missing (living people) Living people 20th-century American mathematicians Women mathematicians Mathematics educators University of Michigan alumni University of Michigan faculty 21st-century American mathematicians
https://en.wikipedia.org/wiki/List%20of%20villages%20in%20Jalore%20district
This is a list of villages in Jalore district, Rajasthan state, western India. According to the statistics of the census of 2011, there are 9 sub-districts, 11 towns, 8 statutory towns, 3 census town and total 1111 villages in the district. Villages Ahore Ajodar Bhanwarani Bhavrani Bhinmal Bhundwa (Bhandavpur) Dedwa Dhamana Dhansa Dudhwa Jakhal Jalor Karda Khara Malwara Mithi Beri Modran Odwada Raniwara Rewatra Sankad Sankariya Sayla Siwara Vediya, Ahore See also Jalore District List of villages in India References
https://en.wikipedia.org/wiki/Edgar%20H.%20Brown
Edgar Henry Brown, Jr. (December 27, 1926 – December 22, 2021) was an American mathematician specializing in algebraic topology, and for many years a professor at Brandeis University. Life Brown was born in Oak Park, Illinois. He completed his bachelor's degree in mathematics at the University of Wisconsin in 1949. He completed his master's degree in mathematics at Washington State University in 1951. Career He completed his Ph.D. in mathematics at the Massachusetts Institute of Technology in 1954. His doctoral supervisor was George W. Whitehead, and his doctoral dissertation was on Finite Computability of the Homotopy Groups of Finite Groups. In 1962–63 he visited the Institute for Advanced Study in Princeton, New Jersey, and in 1964 he received the Guggenheim Fellowship. He was elected a Fellow of the American Academy of Arts and Sciences in 1974 and a Fellow of the American Mathematical Society in 2012. Contributions to mathematics He made numerous contributions to mathematics including: Brown's representability theorem Brown–Peterson cohomology Brown–Gitler spectrum His publications include: References 1926 births 2021 deaths Mathematicians from Illinois People from Oak Park, Illinois Washington State University alumni University of Wisconsin–Madison College of Letters and Science alumni Massachusetts Institute of Technology School of Science alumni 20th-century American mathematicians 21st-century American mathematicians Topologists Brandeis University faculty Institute for Advanced Study people Fellows of the American Academy of Arts and Sciences Fellows of the American Mathematical Society
https://en.wikipedia.org/wiki/Julia%20Robinson%20Mathematics%20Festival
The Julia Robinson Mathematics Festival (JRMF) is an educational organization that sponsors locally organized mathematics festivals and online webinars targeting K–12 students. The events are designed to introduce students to mathematics in a collaborative and non-competitive forum. History In the 1970s, Saint Mary's College of California produced a mathematics contest that was popular with secondary schools throughout the San Francisco Bay Area. In 2005, Nancy Blachman attended an education forum sponsored by the Mathematical Sciences Research Institute (MSRI) and remembered how the Saint Mary's contest had inspired her as a student. Unfortunately, the contest no longer existed. Seeking to possibly resurrect the contest, Blachman and MSRI development director Jim Sotiros reached out to colleagues in the educational community. One response was from local high school math teacher Joshua Zucker, who also remembered the contest and even had saved a book of problems from it. Sotiros suggested that Blachman and her husband David desJardins fund MSRI in order to hire Zucker to recreate a program in the style of the Saint Mary’s Math Contest. Blachman and Zucker became co-founders and organized their first event in 2007. They called it a festival rather than a contest because they wanted to emphasize collaboration, creativity and fun rather than competition. They named the festival after Julia Robinson, a mathematician renowned for her contributions to decision problems. In fact, her work on Hilbert's 10th problem played a crucial role in its ultimate resolution. Blachman felt that such a woman would provide a role model for young girls and would show that one need not be male to be a great mathematician. When they sent out invitations to local schools, the response was so overwhelming that, in order to have enough space, they prevailed upon Google in nearby Mountain View to host the first festival. A second festival was hosted in 2008 by Pixar Animation Studios in Emeryville. Enthusiasm and interest have spurred strong growth, and since then, there have been festivals at Princeton University (and its greater community); Stanford University; and University of California, Berkeley, and throughout the United States, as well as in Europe and Asia. As of December 2019, JRMF will have hosted nearly 500 events in 25 states, the District of Columbia, one territory (Puerto Rico), and 15 foreign countries. In 2020, they hosted over 120 Festivals—an increase of more than 50% over 2018. The services JRMF offer continue to be free of charge. The target audience is third- to eighth-graders. Our festivals are attended by 30 to 50 percent girls. The Julia Robinson Mathematics Festival has been invited to host festivals and tables at events such as the Joint Mathematics Meeting and MAA Mathfest. In December 2019, they celebrated Julia Robinson's 100th birthday with a festival in her hometown. Programming The Julia Robinson Mathematics Festival has hosted
https://en.wikipedia.org/wiki/Autumn%20Kent
Autumn Kent is an American mathematician specializing in topology and geometry. She is a professor of mathematics and Vilas Associate at the University of Wisconsin. She is a transgender woman and a promoter of trans rights. In 2019, she received a Simons Fellowship. Education Kent received her B.A. from the University of North Carolina at Asheville in 1999. Originally, she had planned to become a high-school English teacher, but she switched to mathematics, majoring in it and in literature. She earned her Ph.D. under the advising of Cameron McAllan Gordon at the University of Texas at Austin in 2006; her dissertation was entitled Geometry and Algebra of Hyperbolic 3-manifolds. After a four-year position as the Tamarkin Assistant Professor of Mathematics at Brown University, she joined the faculty of University of Wisconsin–Madison in 2010. She became associate professor in 2016, and a full professor in 2020. Career Kent has published over 20 papers in various journals, mostly regarding low dimensional topology and knot theory. Many of these were published under her former name, or deadname, before she came out as transgender. In 1999, Kent won the Frank Gerth Dissertation Award. In 2014, she was awarded an NSF Career Award to study moduli of Riemann surfaces. In 2015 and 2016, she was a von Neumann Fellow at the Institute for Advanced Study. She was named as a Vilas Associate at the University of Wisconsin–Madison for 2018 and 2019. In 2019, she was awarded a Simons Fellowship. Kent served on the Policy and Advocacy Committee for the Association for Women in Mathematics from Feb 2019-Jan 2022. In addition, she served on the Association for Women in Mathematics Panel Discussion Promoting Inclusion in STEM at the 2019 Joint Mathematics Meeting. With Harrison Bray, she organized the LG&TBQ+ conference at the University of Michigan to foster collaboration between LGBTQ+ mathematicians working in geometry, topology, and dynamical systems with funding from Kent's NSF Career Award. She gave the Spectra Lavender Lecture at the 2022 Joint Mathematics Meeting. References External links American women mathematicians American LGBT scientists American transgender people Living people Institute for Advanced Study visiting scholars Topologists Transgender rights activists Transgender women University of Wisconsin–Madison faculty University of Texas at Austin College of Liberal Arts alumni University of North Carolina at Asheville alumni Year of birth missing (living people) Transgender scientists LGBT mathematicians 21st-century American LGBT people Transgender history in the United States
https://en.wikipedia.org/wiki/Farid%20Mohammadizadeh
Farid Mohammadizadeh (, born 6 September 1994) is an Iranian footballer who plays for Gol Reyhan in the Azadegan League. He primarily plays as a right back. Career statistics References 1994 births Living people Sportspeople from Qom Iranian men's footballers Men's association football defenders Naft Tehran F.C. players Persian Gulf Pro League players Azadegan League players
https://en.wikipedia.org/wiki/List%20of%20Indy%20Eleven%20records%20and%20statistics
Indy Eleven are an American professional football club based in Indianapolis. This list encompasses the major records set by the club and their players in both the North American Soccer League (2014–2017) and USL Championship (2018–present). Player records Appearances Bold denotes players still playing for the club. Goals Bold denotes players still playing for the club. Managerial records Includes USL Regular Season, USL Playoffs, U.S. Open Cup. Excludes friendlies. Notes: References External links Indy Eleven Indy Eleven Indy Eleven records and statistics
https://en.wikipedia.org/wiki/Fiona%20Steele
Fiona Alison Steele, is a British statistician. Since 2013, she has been Professor of Statistics at the London School of Economics (LSE). After graduating with a degree in mathematics and statistics from the University of Edinburgh in 1992, Steele completed her master's degree (in 1993) and doctorate in statistics (in 1996) at the University of Southampton. She then joined the LSE as a lecturer in statistics and research methodology. She was appointed to a research lectureship at the Institute of Education in 2001. In 2005 moved to the University of Bristol to be a reader in social statistics; she was promoted to professor three years later. Steele was also Director of Bristol's Centre for Multilevel Modelling from 2010 until she took up her post at the LSE in 2013. According to her British Academy profile, her research relates to the "development and application of statistical methods for the analysis of longitudinal data, including multilevel event history models and simultaneous equation models" and their "applications in demography and education". Honours In 2008, Steele was awarded the Royal Statistical Society's Guy Medal in Bronze. The following year she was elected a Fellow of the British Academy (FBA), the United Kingdom's national academy for the humanities and social sciences. She was appointed Officer of the Order of the British Empire (OBE) in the 2011 New Year Honours for services to social science and Commander of the Order of the British Empire (CBE) in the 2022 Birthday Honours for services to statistics in the social sciences. Selected works (Co-authored with P. Clarke, G. Leckie, J. Allan and D. W. Johnston) "Multilevel structural equation models for longitudinal data where predictors are measured more frequently than outcomes: an application to the effects of stress on cognitive function of nurses", Journal of the Royal Statistical Society, Series A (2016). (Co-authored with R. French and M. Bartley) "Adjusting for selection bias in longitudinal analyses of the relationship between employment transitions and health using simultaneous equations modelling", Epidemiology, vol. 24, no. 5 (2013), pp. 703–11. (Co-authored with P. Clarke and E. Washbrook) "Modelling household decisions using longitudinal data from household panel surveys, with applications to residential mobility", Sociological Methodology, vol. 43, no. 1 (2013), pp. 225–76. (Co-authored with J. Rasbash and J. Jenkins) "A multilevel simultaneous equations model for within-cluster dynamic effects, with an application to reciprocal parent-child and sibling effects", Psychological Methods, vol. 18, no. 1 (2013), pp. 87–100. (Co-authored with W. Sigle-Rushton and Ø. Kravdal) "Consequences of family disruption on children's educational outcomes in Norway", Demography, vol. 46, no. 3 (2009), pp. 553–74. (Co-authored with D. J. Bartholomew, I. Moustaki and J. Galbraith) Analysis of Multivariate Social Science Data, 2nd edition (CRC Press, 2008). References
https://en.wikipedia.org/wiki/Statistics%20of%20the%20Colonies%20of%20the%20British%20Empire
Statistics of the Colonies of the British Empire (or more completely, Statistics of the Colonies of the British Empire in the West Indies, South America, North America, Asia, Austral-Asia, Africa, and Europe) is a work by Robert Montgomery Martin which comprises a number of different statistics to measure the well-being of the British Colonies in the late 18th until mid 19th century. It was first published in 1839 by W. H. Allen & Co. roughly a year after it was commenced in February 1838. The book was published in Royal Octavo (10" by 6¼") and contains roughly 1000 pages, arranged in double columns. In 1839, the book costed £2. 2s. which is approximately £233 in 2018. Background Featured in the preface of the book, it is reported that in 1836-7, the Committee of the House of Commons wanted to know about the financial conditions of the colonies and thus wanted to compile the colonial Blue Book into a form suitable for publication. Due to time and expenditure (it was estimated to cost about £10,000) the initiative was abandoned by the British Empire. Martin, who at that time was a founding member of the Statistical Society of London (1834), decided to take it upon himself to compile the blue books from all the British Colonies of the time. The Blue books consist of three blank books that were sent to the colonies each year so to be filled in where two of them were returned to Downing Street and another remained in the possession of the colony's Governor. In order to do that, he wrote a letter to Sir George Grey who was at the time the Under-Secretary of State for the Colonies, stating his request to access the blue books for this project which he completed using his own expenses and without official assistance. Martin received permission from Lord Glenelg, the Secretary of State for War and the Colonies at the time, to access the blue books and other statistical information regarding the colonies. He was then given his own office in Downing Street to complete the book with his assistant, Frederick Medley. Around 250 volumes of the blue books and a number of various documents were examined and sorted out into a book fit for publication, a which that took him roughly a year to finish. Stated in the preface, his motivation for compiling the blue books was not only to help measure the decline or progress of the colonies but to also compile it in a way that would bring about the feeling of pride amongst the citizens of Britain. This was in line with Martin's interest which was colonialism as can be seen in his other publications that mostly touched on the topic of the British Colonies. In 1840, he founded and became the editor of the Colonial Magazine and Commercial Maritime Journal. Content Front page and Introduction The front page of the book started off with a Map of the Colonial Possessions of Great Britain, dated in 1838. Areas within the British Empire were coloured in pink. Martin claimed in the preface report that the map was attach
https://en.wikipedia.org/wiki/Eliteserien%20records%20and%20statistics
The top tier of Norwegian football has existed as a one-league top flight since 1963. The league was renamed Eliteserien for the start of the 2017 season. The following page details the football records and statistics of the Norwegian top flight since 1963. League records Titles Most titles: 26, Rosenborg Most consecutive title wins: 13, Rosenborg (1992 – 2004) Biggest title-winning margin: 19 points, 2020; Bodø/Glimt (81 points) over Molde (62 points) Smallest title-winning margin: 0 points and 0 goal difference (+18) – 2004; Rosenborg (52 scored goals) over Vålerenga (40 scored goals). Both finished on 48 points and +18 in goal difference, but Rosenborg won the title with a superior number of goals scored – the only time that the number of goals scored has determined Eliteserien. Wins Most wins in a season (30 games): 26, Bodø/Glimt (2020) Most wins in a season (26 games): 20, Rosenborg (1998) Most wins in a season (22 games): 16, joint record: Viking (1972) Lillestrøm (1977, 1986, 1989) Most wins in a season (18 games): 14, Lyn (1968) Fewest wins in a season (26/30 games): 2, joint record: Start (2002, 2016) Lyn (2009) Sandefjord (2010) Aalesund (2020) Fewest home wins in a season (9/11 games): 0, joint record: Sandefjord (1965) Os (1975) Steinkjer (1978) Most home wins in a season (15 games): 15, Bodø/Glimt (2020) Fewest home wins in a season (15 games): 1, joint record: Lyn (2009) Sandefjord (2022) Most away wins in a season (15 games): 13, Molde (2022) Fewest away wins in a season: 0, joint record: Brann (1964, 1979, 1992) Sandefjord (1965) Strømsgodset (1967, 1994) Frigg (1968) Mjølner (1972) Raufoss (1974) Os (1975) Vard (1976) Rosenborg (1977) Lyn (1981, 1997) Mjøndalen (1982, 1988, 2015) Eik-Tønsberg (1985) Moss (1988) Strømmen (1990) Viking (1992) Sogndal (1992, 2004) Fyllingen (1993) Bryne (2000, 2003) Sandefjord (2007, 2010, 2015) Sarpsborg 08 (2011) Tromsø (2013) Sandnes Ulf (2014) Start (2016) Most consecutive wins: 17, Molde (2022–) Most consecutive games without a win: 39, Start (12 July 2015 – 18 September 2016) Defeats Fewest defeats in a season (30 games): 0, Rosenborg (2010) Longest unbeaten run: 33 games, Rosenborg (18 October 2009 – 7 November 2010) Most defeats in total: 423, Brann Fewest home defeats in a season (15 games): 0, joint record: Rosenborg (2010, 2015) Vålerenga (2010) Strømsgodset (2012, 2013) Molde (2019) Odd (2019) Bodø/Glimt (2020) Fewest away defeats in a season (15 games): 0, joint record: Rosenborg (2009, 2010) Molde (2022) Most consecutive defeats: 11, Vålerenga (6 August 1989 – 6 May 1990) Most consecutive defeats in a season: 10, joint record: Os (1975) Strømsgodset (1994) Bryne (2003) Most consecutive games unbeaten from beginning of season: 30, Rosenborg Most consecutive home games unbeaten: 46, Strømsgodset (26 June 2011 – 6 July 2014) Most consecutive away games unbeaten: 30, Rosenborg (23 March 2009 – 31 October 2010) Draws Most draws in a season (30 games): 15, Sarpsborg 08 (2019) Most dr
https://en.wikipedia.org/wiki/Furkan%20Kurban
Furkan Muharrem Kurban (born 2 June 1997) is a Dutch-born, Turkish footballer currently playing as a midfielder for Anadolu Selçukspor. Career statistics Club Notes References External links Profile at AZ Alkmaar 1997 births Living people Dutch people of Turkish descent Turkish men's footballers Turkey men's youth international footballers Dutch men's footballers Men's association football midfielders AZ Alkmaar players AFC Ajax players 1922 Konyaspor footballers Eerste Divisie players Footballers from Amsterdam
https://en.wikipedia.org/wiki/Chalukyas%20of%20Navasarika
{ "type": "FeatureCollection", "features": [ { "type": "Feature", "properties": { "marker-symbol": "star", "marker-color": "000080", "title": "Navsari" }, "geometry": { "type": "Point", "coordinates": [72.9323831, 20.952407] } }, { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Nashik" }, "geometry": { "type": "Point", "coordinates": [73.7898, 19.9975] } }, { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Surat" }, "geometry": { "type": "Point", "coordinates": [72.8311, 21.1702] } }, { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Manor" }, "geometry": { "type": "Point", "coordinates": [72.9289, 19.7224] } }, { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Diveagar" }, "geometry": { "type": "Point", "coordinates": [72.9902, 18.1682] } }, { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Valsad" }, "geometry": { "type": "Point", "coordinates": [72.9343, 20.5992] } } ] } The Chalukyas (IAST: Cālukya) of Navasarika (modern Navsari) were an Indian dynasty that ruled parts of present-day Gujarat and Maharashtra during 7th and 8th centuries, as vassals of the Chalukyas of Vatapi. They are also known as the "Early Chalukyas of Gujarat" (as opposed to the later Chalukyas of Gujarat). In the late 660s, the Vatapi Chalukya king Vikramaditya I appointed his brother Dharashraya Jayasimhavarman as the governor of the north-western parts of his kingdom, which included southern Gujarat (Lata), Nashik region, and northern Konkan. Dharashraya's eldest son Shryashraya Shiladitya died before him, and he was succeeded by his younger sons, first Jayashraya Mangalarasa, and then Avanijanashraya Pulakeshin. Avanijanashraya is best known for repulsing an Arab invasion from the Umayyad Caliphate near Navsari, a feat recorded in his 738-739 inscription. After his reign, the history of this Chalukya branch is uncertain: their territory subsequently came under the Rashtrakuta control. Dharashraya Jayasimhavarman The Navsari branch of the Chalukyas was established by Dharashraya Jayasimhavarman (IAST: Dharāśraya Jaya-siṃha-varman), who was a son of the Vatapi Chalukya king Pulakeshin II, and a younger brother of Pulakeshin's successor Vikramaditya I. Sometime before 667-670 CE, Vikramaditya appointed Dharashraya as the governor of the north-western Chalukya territories, which included parts of present-day southern Gujarat, and the Konkan and Nashik region of Maharashtra. Dharashraya is attested by his Nashik inscription, which is dated to 20 or 21 March 685 (year 436 of the Kalachuri era). This Sanskrit-language inscription records the grant of the Dhondhaka village in the Nasikya vishaya (Nashik province) to a Brahmana named Trivikrama. The Nashik inscription states that Dharashraya defeated and routed the army of a king named Vajjada, between the Mahi
https://en.wikipedia.org/wiki/Daphne%20L.%20Smith
Daphne Letitia Smith was the first African-American woman to earn a Ph.D. in mathematics at the Massachusetts Institute of Technology (MIT), in 1985. She is the president of the National Alumnae Association of Spelman College, her alma mater, and a member of Spelman's Board of Trustees; in 2011 she was honored with the Alumnae Association's Hall of Fame Award, "the organization’s highest honor". Smith is originally from Ocala, Florida, and graduated from Spelman College in 1980. At MIT, she studied probability theory as a student of Richard M. Dudley; her dissertation was Vapnik-Červonenkis Classes and the Supremum Distribution of a Gaussian Process. She taught at the University of Georgia, Georgia State University and Spelman College before turning to industry, where she has worked as a mathematician and healthcare analyst specializing in disease management. References External links Daphne L. Smith, Mathematician of the African Diaspora, Scott W. Williams, State University of New York at Buffalo Year of birth missing (living people) Living people People from Ocala, Florida 20th-century American mathematicians African-American mathematicians American women mathematicians Probability theorists Spelman College alumni Massachusetts Institute of Technology School of Science alumni University of Georgia faculty Georgia State University faculty Spelman College faculty 20th-century women mathematicians
https://en.wikipedia.org/wiki/List%20of%20Vasas%20SC%20records%20and%20statistics
Vasas Sport Club is a professional football club based in Budapest, Hungary. Team Most points in a season: 64 (1996–97 and 1997–98) (3-point system) Most goals in a season: 100 (1976–77) Player Most capped players András Komjáti (443) Pál Berendy (382) Kálmán Ihász (364) Players with most international appearances Kálmán Mészöly (61) László Sárosi (45) Béla Várady (36) Top Goalscorer Gyula Szilágyi (295) References External links Vasas SC
https://en.wikipedia.org/wiki/Esteban%20Um%20Lee
Esteban Chul Woo Um Lee (born 23 June 1999), is a Bolivian footballer of South Korean descent who plays as a midfielder for Club Real Potosí. Career statistics Club Notes References 1999 births Living people Bolivian men's footballers Bolivian people of South Korean descent South Korean men's footballers Men's association football midfielders Bolivian Primera División players Club Bolívar players Club Real Potosí players
https://en.wikipedia.org/wiki/Alexandru%20Zaharescu
Alexandru Zaharescu (born June 4, 1961) is a Romanian mathematician. He is a professor in the Department of Mathematics, University of Illinois at Urbana–Champaign, and a Senior Researcher at the Institute of Mathematics of the Romanian Academy. He has two PhDs in mathematics, one from the University of Bucharest in 1991 under the direction of Nicolae Popescu, the other from Princeton University in 1995 under the direction of Peter Sarnak. Zaharescu has numerous publications in highly prestigious journals, and more than 300 in total. Almost all his work is in number theory. Early life Zaharescu was born on June 4, 1961, and grew up in Codlea, Romania. He graduated from high school in Codlea in 1980, and from the University of Bucharest in 1986. He joined the Institute of Mathematics of the Romanian Academy in 1989, and in 1991 he received a PhD from the University of Bucharest. Career Zaharescu received his second PhD from Princeton University in 1995. After that, he has held temporary positions at the Massachusetts Institute of Technology, McGill University, the Institute for Advanced Study, before joining the faculty at the University of Illinois in 2000. Awards and honours Zaharescu was elected a Fellow of the American Mathematical Society in 2017, for contributions to analytic number theory. A conference in honor of his 60th birthday was held in June 2021 at the Institute of Mathematics of the Romanian Academy. Notes External links Simion Stoilow Institute of Mathematics of the Romanian Academy 2017 Class of Fellows of the AMS UIUC webpage of Alexandru Zaharescu Living people 1961 births People from Codlea 20th-century Romanian mathematicians 21st-century Romanian mathematicians 20th-century American mathematicians 21st-century American mathematicians Romanian inventors 21st-century inventors Number theorists University of Bucharest alumni Princeton University alumni Romanian emigrants to the United States University of Illinois Urbana-Champaign faculty Fellows of the American Mathematical Society
https://en.wikipedia.org/wiki/Mahkan%2C%20Syria
Mahkan () is a Syrian town located in Mayadin District, Deir ez-Zor. According to the Syria Central Bureau of Statistics (CBS), Mahkan had a population of 10,086 in the 2004 census. During Syria Civil war, Mahkan was occupied by ISIS and was captured by Syrian Army on 23 October 2017. References Populated places in Deir ez-Zor Governorate Populated places on the Euphrates River
https://en.wikipedia.org/wiki/Thyra%20Eibe
Thyra Eibe (3 November 1866 – 4 January 1955) was a Danish mathematician and translator, the first woman to earn a mathematics degree from the University of Copenhagen. She is known for her translation of Euclid's Elements into the Danish Language. Education and career Eibe was one of ten children of a Copenhagen bookseller. After completing a degree in historical linguistics in 1889 from N. Zahle's School (then a girls' school), Eibe studied mathematics at the University of Copenhagen, and earned a cand.mag. there in 1895. She returned to Zahle's School as a teacher, also teaching boys at Slomann's School and becoming the first woman to become an advanced mathematics teacher for boys in Denmark. In 1898 she moved to H. Adler Community College, later to become the , where she remained until 1934, serving as principal for a year in 1929–1930. Contributions In undertaking her translation of Euclid, Eibe was motivated by the earlier work of Danish historian Johan Ludvig Heiberg, who published an edition of Euclid's Elements in its original Greek, with translations into Latin. As well as her translations, Eibe wrote several widely used Danish mathematics textbooks. Recognition In 1942, she was given the Tagea Brandt Rejselegat, an award for Danish woman who have made a significant contribution in science, literature or art. References 1866 births 1955 deaths Danish mathematicians Danish women mathematicians Mathematics educators University of Copenhagen alumni Translators of Ancient Greek texts Translators to Danish
https://en.wikipedia.org/wiki/Mathematics%20Education%20Research%20Journal
Mathematics Education Research Journal is a quarterly peer-reviewed scientific journal covering mathematics education. It was established in 1989 and is published by Springer Science+Business Media on behalf of the Mathematics Education Research Group of Australasia. The editor-in-chief is Peter Grootenboer (Griffith University). Abstracting and indexing The journal is abstracted and indexed in the Astrophysics Data System, EBSCO databases, Emerging Sources Citation Index, ERIC, ProQuest databases, and Scopus. See also List of scientific journals in mathematics education References External links Mathematics Education Research Group of Australasia English-language journals Mathematics education journals Springer Science+Business Media academic journals Academic journals established in 1989 Quarterly journals
https://en.wikipedia.org/wiki/Ruth%20F.%20Curtain
Ruth F. Curtain (16 July 1941 – 18 March 2018) was an Australian mathematician who worked for many years in the Netherlands as a professor of mathematics at the University of Groningen. Her research concerned infinite-dimensional linear systems. Education and career Curtain was born in Melbourne. She was the daughter of a house painter, who wanted her to leave school at age 14, but with the support of her mother she persisted. She studied mathematics at the University of Melbourne, earning a bachelor's degree in 1962, diploma in education in 1963, and master's degree in 1965. She moved to Brown University, in the United States, for graduate study in applied mathematics, and completed her Ph.D. there in 1969. Her dissertation, Stochastic Differential Equations In A Hilbert Space, was supervised by Peter Falb. She then joined the faculty at Purdue University, but in 1971 moved to the University of Warwick. In 1977 she moved again, to the University of Groningen, where she remained until her 2006 retirement. Books Curtain was the author of: Functional Analysis in Modern Applied Mathematics (with A. J. Pritchard, Academic Press, 1977) Infinite Dimensional Linear Systems Theory (with A. J. Pritchard, Springer, 1978) An Introduction to Infinite-Dimensional Linear Systems Theory (with Hans Zwart, Springer, 1995) Awards and honours In 1991 Curtain was elected as a Fellow of the IEEE, associated with the IEEE Control Systems Society, "for contributions to the control theory of stochastic and infinite-dimensional systems". In 2012 the Society for Industrial and Applied Mathematics gave Curtain their W. T. and Idalia Reid Prize for outstanding research in differential equations and control theory. The award citation recognized Curtain for her "fundamental contributions to the theory of infinite dimensional systems and the control of systems governed by partial and delay differential equation". References 1941 births 2018 deaths 20th-century Australian mathematicians 20th-century Dutch mathematicians University of Melbourne alumni Brown University alumni Purdue University faculty Academics of the University of Warwick Academic staff of the University of Groningen Fellow Members of the IEEE 21st-century Australian mathematicians 21st-century Dutch mathematicians Australian expatriates in the Netherlands 20th-century women mathematicians 21st-century women mathematicians
https://en.wikipedia.org/wiki/Burton%20Howard%20Camp
Burton Howard Camp (September 30, 1880 – March 1, 1980) was an American mathematician and mathematical statistician. For most of his career he was a professor of Mathematics at Wesleyan University. Early life and education He was born in Hartford, Connecticut, to Howard Alexander Camp and Alice Amelia (Parsons) Camp. He graduated from Wesleyan University in 1901, where he was a member of the Eclectic Society and Phi Beta Kappa. He studied under Professor of English literature, Caleb Thomas Winchester, and gave an address at the Commencement. He earned a B.A. from Harvard in 1903, and M.A. in 1907, and Ph.D. from Yale in 1911. His thesis was on the Convergence of Singular Integrals and his advisor was James Pierpont. Career He taught at Oak Grove Seminary in Vassalboro, Maine, from 1902–1903, was an instructor in Mathematics at the Massachusetts Institute of Technology from 1903–1904, at Wesleyan from 1904–1905, at Harvard from 1906–1907, and again at Wesleyan from 1907–1909. He was named an Associate Professor of Mathematics at Wesleyan in 1909, and a Professor in 1914. He was a chair of the department. He was acting director of the Van Vleck Observatory from 1918–1920. He was involved with Mathematics at Wesleyan until 1948. in the early 1920s Camp switched from analysis to mathematical statistics and spent a year in London studying with Karl Pearson. He was a founder and early President of the Institute of Mathematical Statistics, Vice President of the American Statistical Association, and a member of the American Mathematical Society. Camp was named a Fellow of the American Statistical Association in 1936. He also served as Secretary of the Wesleyan University Alumni Association. Selected publications Burton H. Camp (1913) Singular Multiple Integrals, with Applications to Series, Transactions of the American Mathematical Society, Vol. 14, No. 1 (Jan., 1913), pp. 42-64. Burton H. Camp (1917) Multiple Integrals Over Infinite Fields, and the Fourier Multiple Integral, American Journal of Mathematics, Vol. 39, No. 3 (Jul., 1917), pp. 311-334. Burton H. Camp (1924) Probability Integrals for the Point Binomial, Biometrika, Vol. 16, No. 1/2 (May, 1924), pp. 163-171. Burton Howard Camp (1931) The Mathematical Part of Elementary Statistics New York: D. C. Heath. Burton H. Camp (1933) Karl Pearson and Mathematical Statistics, Journal of the American Statistical Association, Vol. 28, No. 184 (Dec., 1933), pp. 395-401. Burton H. Camp (1937) Methods of Obtaining Probability Distributions, The Annals of Mathematical Statistics, Vol. 8, No. 2 (Jun., 1937), pp. 90-102. Burton H. Camp (1948) Generalization to N Dimensions of Inequalities of the Tchebycheff Type, The Annals of Mathematical Statistics, Vol. 19, No. 4 (Dec., 1948), pp. 568-574. Family life He married Rachel Caroline Rice (1889–1978) on June 30, 1915. She was a daughter of the Rev. Charles Francis Rice and Miriam Owen Jacobs. She attended Boston University, and was a member of Gamm
https://en.wikipedia.org/wiki/Duncan%20Alexander
Duncan Alexander is an association football statistician, broadcaster and author for The Athletic. Career Under the pseudonym of 'OptaJoe', Alexander was the Chief Data Editor for football statistics company Opta. As 'OptaJoe' Alexander was a football commentator and pundit who live-tweeted during football matches with statistics and jokes. His first book, OptaJoe's Football Yearbook was published in 2016. His second book Outside the Box: A Statistical Journey through the History of Football was published in 2017. Alexander has also written for the BBC, the Premier League, The Football Association, The Guardian, The Daily Mirror, and Sky Sports. He is a regular contributor on The Totally Football Show, and has appeared on BBC Radio Five Live, The Anfield Wrap and podcasts for The Times, The Independent, and The Daily Telegraph. He has been interviewed by FourFourTwo and Coca-Cola. In January 2023 Alexander announced that he was joining subscription sports magazine The Athletic. Awards OptaJoe was nominated for the 'online media of the year' award at the 2017 Football Supporters Federation Awards. Personal life Alexander studied history at the University of Manchester. When interviewed by FourFourTwo Alexander chose as his favourite ever football book 'Among The Thugs' by Bill Buford (1991). Alexander is a supporter of Wycombe Wanderers and lives in south London. References Living people Year of birth missing (living people) English podcasters Journalists from London
https://en.wikipedia.org/wiki/List%20of%20Luis%20Angel%20Firpo%20records%20and%20statistics
Club Deportivo Luis Angel Firpo is a Salvadoran professional association football club based in Usutlan. The club was formed in 1908 as Tecún Umán. Firpo currently plays in the Primera División. This list encompasses the major honours won by Firpo and records set by the club, their managers and their players. The player records section includes details of the club's leading goalscorers and those who have made most appearances in first-team competitions. It also records notable achievements by Firpo players on the international stage, and the highest transfer fees paid and received by the club. Firpo has set various records since its founding. Honours Firpo has won primera division ten times, which ranks tied for fourth in Salvadoran football history. Domestic honours League Primera División and predecessors Champions (10): 1988–89, 1990–91, 1991–92, 1992–93, 1997–98, 1999 Clausura, 2000 Clausura, Apertura 2007, Clausura 2008, Clausura 2013 Segunda División Salvadorean and predecessors Champions: TBD Tercera División Salvadorean and predecessors Champions: TBD Cups Copa President and predecessors Runners-up (1) : 2000 CONCACAF CONCACAF Cup Winners Cup Runners up (1) : 1995 Individual Honours Team statistics Primera Division Most seasons played in Primera Division: 32 years (from 1982 season to Clausura 2014) Most consecutive games undefeated: 31 games, 13 wins and 18 draws, (1990/91 seasons) Most consecutive wins: 17 (in TBD season) Most consecutive lost: 17 (in TBD season) Matches Firsts First league match: TBD 3–2 Firpo, Prima Categoria, 10 January 1909. First Copa Presidente match: Firpo 14–0 TBD, 11 November 1926. First CONCACAF match: Firpo 0–1 C.S. Cartaginés, CONCACAF Champions League, 1989. Wins Record win: 16–0 against TBD, Prima Categoria, 10 January 1915. Record Primera division win: 11–0 against Cojutepeque F.C., 30 April 1995. Record Copa El Salvador win: 5–0 against Maracaná San Rafael, 2006. Record win in CONCACAF competitions: 8–0 against CRKSV Jong Colombia, CONCACAF Cup Winners Cup, 1995. Most wins in a Primera division season: 30 (out of 38 games), during the 2006–07 season. Defeats Record Primera division defeat: 1–9 against TBD, 10 June 1961. Record Copa El Salvador defeat: 0–5 against TBD, 8 January 1998; Record defeat in CONCACAF competitions: 0-4 against Pérez Zeledón, CONCACAF Champions League, 2005. Most defeats in a Primera division season: 19 (out of 40 games), during the TBD season. Fewest defeats in a Primera division season: 1 (out of 38 games), during the TBD season. Points Most points in a Primera division season: League format: TBD in 38 games, during the TBD season Apertura/Clausura formats: TBD in 38 games, during the TBD season. Fewest points in a Primera season: League format: TBD in 30 games, during the TBD season. Apertura/Clausura formats: TBD in 38 games, during the TBD season. Overall Most consecutive games undefeated: 41 games (from 20 August, 1990 to 10 Apr
https://en.wikipedia.org/wiki/Tammis%20Keefe
Tammis Keefe (1913 – June 5, 1960) was an American textile designer. Biography Keefe was born Margaret Thomas in 1913. She began her studies in mathematics at Los Angeles Community College. After a trip to Chicago to see the 1933-1934 World's Fair, she changed her major to art at the Chouinard Art School in Los Angeles. After graduation, she became the Art Director of Arts and Architecture magazine during World War II. By 1948, Keefe was working as a textile designer for Dorothy Leibis Studio in New York City which textile designs to the furnishings firm, Goodall Industries. She also created freelance designs for other home decorative lines and wallpaper for various firms. Later, she began designing handkerchiefs commissioned by J. H. Kimball for Lord & Taylor in New York. Keefe was best known for her bright colors playful designs on handkerchiefs, kitchen towels and scarves. On June 5, 1960, she died of cancer. Her work can be found at The Metropolitan Museum of Art, the Cooper Hewitt and the Museum at the Fashion Institute of Technology. References 1913 births 1960 deaths Los Angeles Community College alumni
https://en.wikipedia.org/wiki/Rizky%20Darmawan
Muhammad Rizky Darmawan (born 5 February 1994) is an Indonesian professional footballer who plays as a goalkeeper for Liga 1 club PSIS Semarang. Career statistics Club Honours Club Persija Jakarta Liga 1: 2018 Indonesia President's Cup: 2018 Serpong City Liga 3: 2022 References External links Rizky Darmawan at Liga Indonesia 1994 births Living people Sportspeople from Tangerang Footballers from Banten Indonesian men's footballers Indonesian Premier Division players Liga 1 (Indonesia) players Liga 2 (Indonesia) players Persitara Jakarta Utara players Celebest F.C. players Persija Jakarta players Persita Tangerang players PS Mitra Kukar players Sulut United F.C. players Sriwijaya F.C. players PSS Sleman players Serpong City F.C. players PSIS Semarang players Men's association football goalkeepers
https://en.wikipedia.org/wiki/Kleiman%27s%20theorem
In algebraic geometry, Kleiman's theorem, introduced by , concerns dimension and smoothness of scheme-theoretic intersection after some perturbation of factors in the intersection. Precisely, it states: given a connected algebraic group G acting transitively on an algebraic variety X over an algebraically closed field k and morphisms of varieties, G contains a nonempty open subset such that for each g in the set, either is empty or has pure dimension , where is , (Kleiman–Bertini theorem) If are smooth varieties and if the characteristic of the base field k is zero, then is smooth. Statement 1 establishes a version of Chow's moving lemma: after some perturbation of cycles on X, their intersection has expected dimension. Sketch of proof We write for . Let be the composition that is followed by the group action . Let be the fiber product of and ; its set of closed points is . We want to compute the dimension of . Let be the projection. It is surjective since acts transitively on X. Each fiber of p is a coset of stabilizers on X and so . Consider the projection ; the fiber of q over g is and has the expected dimension unless empty. This completes the proof of Statement 1. For Statement 2, since G acts transitively on X and the smooth locus of X is nonempty (by characteristic zero), X itself is smooth. Since G is smooth, each geometric fiber of p is smooth and thus is a smooth morphism. It follows that a general fiber of is smooth by generic smoothness. Notes References Algebraic geometry
https://en.wikipedia.org/wiki/Clara%20Eliza%20Smith
Clara Eliza Smith (May 20, 1865 – May 12, 1943) was an American mathematician specializing in complex analysis who became the Helen Day Gould Professor of Mathematics at Wellesley College. Smith was the daughter of Georgiana and Edward Smith, of Northford, Connecticut. She studied at Mount Holyoke College, then a seminary, while also studying art at Yale University. Her studies in the seminary program included geometry and trigonometry, but the college did not offer degrees at that time. She completed the program in 1885. After working as an art teacher at the Bloomsburg State Normal School in Pennsylvania from 1889 until 1898, she returned to Yale for graduate study in mathematics in 1901, along the way earning a bachelor's degree by examination from Mount Holyoke in 1902. In 1904, she completed a Ph.D. at Yale University; her dissertation, Representation of an Arbitrary Function by means of Bessel's Functions, concerned Bessel functions. She joined the Wellesley faculty in 1906, as a substitute teacher of mathematics. She then briefly taught at the Western College for Women in Oxford, Ohio, but by 1908 she had returned to Wellesley as a regular instructor. In 1924 she became the Helen Day Gould Professor. She retired in 1934. At Wellesley, Smith became known for her course in complex analysis. She also wrote two textbooks with Helen Abbot Merrill, Selected Topics in Higher Algebra (Norwood, 1914) and A First Course in Higher Algebra (Macmillan, 1917). References Further reading . Note however that several of the details given in this source are contradicted by the other sources. 1865 births 1943 deaths 20th-century American mathematicians American women mathematicians Mount Holyoke College alumni Yale University alumni Wellesley College faculty People from North Branford, Connecticut Mathematicians from Connecticut 20th-century women mathematicians 20th-century American women
https://en.wikipedia.org/wiki/Ana%20Cannas%20da%20Silva
Ana M. L. G. Cannas da Silva (born 1968) is a Portuguese mathematician specializing in symplectic geometry and geometric topology. She works in Switzerland as an adjunct professor in mathematics at ETH Zurich. Early life and education Cannas was born in Lisbon. After studying at St. John de Britto College, she earned a licenciatura in mathematics in 1990 from the Instituto Superior Técnico in the University of Lisbon. She then went to the Massachusetts Institute of Technology for graduate studies, earning a master's degree in 1994 and completing her Ph.D. in 1996. Her dissertation, Multiplicity Formulas for Orbifolds, was supervised by Victor Guillemin. Career After a temporary position as Morrey Assistant Professor at the University of California, Berkeley, Cannas returned to the Instituto Superior Técnico as a faculty member in 1997. She took a second position as a senior lecturer and research scholar in mathematics at Princeton University in 2006, keeping at the same time her position at the Instituto Superior Técnico. In 2011 she moved from Princeton and the Instituto Superior Técnico to ETH Zurich. Recognition In 2009, the alumni of St. John de Britto College awarded Cannas their José Carlos Belchior Prize in honor of her achievements as an alumna of the school. Books Cannas is the author or coauthor of: Geometric Models for Noncommutative Algebras (with Alan Weinstein, Amer. Math. Soc., 1999) Lectures on Symplectic Geometry (Springer, 2001) Introduction to Symplectic and Hamiltonian Geometry (Publ. Mat. IMPA, 2003) Symplectic Geometry of Integrable Hamiltonian Systems (with Michèle Audin and Eugene Lerman, Birkhäuser 2003) References 1968 births Living people 20th-century Portuguese mathematicians Portuguese women scientists 21st-century Portuguese mathematicians Swiss women mathematicians University of Lisbon alumni Massachusetts Institute of Technology School of Science alumni University of California, Berkeley College of Letters and Science faculty Academic staff of the University of Lisbon Princeton University faculty Academic staff of ETH Zurich
https://en.wikipedia.org/wiki/Hits%20per%20run
In baseball statistics, hits per run (H/R), also known as hit conversion rate (HCR) is the ratio between hits and runs scored. It is the average number of hits it takes to score a run. H/R is the measure of the effectiveness of hitting in scoring a run. Teams having a lower hits-to-run ratio would likely have a good offense and could be expected to win more games. For example, the 1927 New York Yankees, who had a record of 110–44 and are considered one of the greatest teams in Major League Baseball (MLB) history, had 1644 hits and scored 976 runs—a ratio of 1.68 hits per runs. Conversely, the 1916 Philadelphia Athletics, who had a record of 36–117 and are considered one of the worst teams, had 1212 hits and scored 447 runs—a ratio of 2.71 hits per run. Between 2008 and 2017, the average hits-to-run ratio in MLB (based on total hits and runs made by all teams during each regular season) varied between 1.87 (2017) and 2.08 (2013), meaning that it generally takes MLB teams about two hits to score a run. References Baseball statistics
https://en.wikipedia.org/wiki/2018%20Maldivian%20Second%20Division%20Football%20Tournament
Statistics of Second Division Football Tournament in the Maldives in the 2018 season. Group stage From each group, the top two teams will be advanced for the Semi-finals. All times listed are Maldives Standard Time. Group 1 Group 2 Semi-finals Final Awards Final ranking Per statistical convention in football, matches decided in extra time are counted as wins and losses, while matches decided by penalty shoot-out are counted as draws. References External links ބަދަލާ އެކު ދެ ވަނަ ޑިވިޝަނުގެ ވާދަވެރިކަން ބޮޑުވާނެ! at Miharu Sports (Dhivehi) ނިއުގެ މިދުހަތު ޖޭޖޭ އަށް ބަދަލުވެއްޖެ at Miharu Sports (Dhivehi) Second Division Championship at Sun Sports (Dhivehi) Maldivian Second Division Football Tournament seasons Maldives Maldives 2
https://en.wikipedia.org/wiki/Home%20runs%20per%20hit
In baseball statistics, home run per hit (HR/H) is the percentage of hits that are home runs. It is loosely related to isolated power, which is the ability to hit for extra-base hits, including home runs. Power hitters, players who readily hit many home runs tend to have higher HR/H than contact hitters. A player hitting 30 home runs and have 150 hits in a season would have HR/H of .200, while a player who hit 8 home runs and have 200 hits in a season would have H/HR of .040. HR/H ratio has gotten higher over time. From 1959 to 2007, HR/H for leading power hitters in MLB was .3312, with the ratio being the highest from 1995 to 2001. References Baseball statistics
https://en.wikipedia.org/wiki/Presheaf%20with%20transfers
In algebraic geometry, a presheaf with transfers is, roughly, a presheaf that, like cohomology theory, comes with pushforwards, “transfer” maps. Precisely, it is, by definition, a contravariant additive functor from the category of finite correspondences (defined below) to the category of abelian groups (in category theory, “presheaf” is another term for a contravariant functor). When a presheaf F with transfers is restricted to the subcategory of smooth separated schemes, it can be viewed as a presheaf on the category with extra maps , not coming from morphisms of schemes but also from finite correspondences from X to Y A presheaf F with transfers is said to be -homotopy invariant if for every X. For example, Chow groups as well as motivic cohomology groups form presheaves with transfers. Finite correspondence Let be algebraic schemes (i.e., separated and of finite type over a field) and suppose is smooth. Then an elementary correspondence is an irreducible closed subscheme , some connected component of X, such that the projection is finite and surjective. Let be the free abelian group generated by elementary correspondences from X to Y; elements of are then called finite correspondences. The category of finite correspondences, denoted by , is the category where the objects are smooth algebraic schemes over a field; where a Hom set is given as: and where the composition is defined as in intersection theory: given elementary correspondences from to and from to , their composition is: where denotes the intersection product and , etc. Note that the category is an additive category since each Hom set is an abelian group. This category contains the category of smooth algebraic schemes as a subcategory in the following sense: there is a faithful functor that sends an object to itself and a morphism to the graph of . With the product of schemes taken as the monoid operation, the category is a symmetric monoidal category. Sheaves with transfers The basic notion underlying all of the different theories are presheaves with transfers. These are contravariant additive functorsand their associated category is typically denoted , or just if the underlying field is understood. Each of the categories in this section are abelian categories, hence they are suitable for doing homological algebra. Etale sheaves with transfers These are defined as presheaves with transfers such that the restriction to any scheme is an etale sheaf. That is, if is an etale cover, and is a presheaf with transfers, it is an Etale sheaf with transfers if the sequenceis exact and there is an isomorphismfor any fixed smooth schemes . Nisnevich sheaves with transfers There is a similar definition for Nisnevich sheaf with transfers, where the Etale topology is switched with the Nisnevich topology. Examples Units The sheaf of units is a presheaf with transfers. Any correspondence induces a finite map of degree over , hence there is the induced m
https://en.wikipedia.org/wiki/Correspondence%20%28algebraic%20geometry%29
In algebraic geometry, a correspondence between algebraic varieties V and W is a subset R of V×W, that is closed in the Zariski topology. In set theory, a subset of a Cartesian product of two sets is called a binary relation or correspondence; thus, a correspondence here is a relation that is defined by algebraic equations. There are some important examples, even when V and W are algebraic curves: for example the Hecke operators of modular form theory may be considered as correspondences of modular curves. However, the definition of a correspondence in algebraic geometry is not completely standard. For instance, Fulton, in his book on intersection theory, uses the definition above. In literature, however, a correspondence from a variety X to a variety Y is often taken to be a subset Z of X×Y such that Z is finite and surjective over each component of X. Note the asymmetry in this latter definition; which talks about a correspondence from X to Y rather than a correspondence between X and Y. The typical example of the latter kind of correspondence is the graph of a function f:X→Y. Correspondences also play an important role in the construction of motives (cf. presheaf with transfers). See also Adequate equivalence relation References Algebraic geometry
https://en.wikipedia.org/wiki/Caroline%20M.%20Solomon
Caroline M. Solomon is an American academic whose teaching focuses on bringing deaf and hard-of-hearing students into the fields of science, technology, engineering, and mathematics. Having experienced first-hand the problems for deaf students in classrooms without sign language interpreters, Solomon, who teaches biology at Gallaudet University, has designed databases to help students and teachers network with organizations and interpreters familiar with educational bridges for deaf and hard-of-hearing students. She is a co-creator of a database that formalizes the lexicon of signs used for scientific and technological terms in American Sign Language. Her innovations to teaching techniques were recognized with the Ramón Margalef Award for Excellence in Education of the Association for the Sciences of Limnology and Oceanography in 2017. Early life Caroline Solomon grew up in Delaware and contracted spinal meningitis as an infant, which resulted in her being deaf in a hearing family. As a teenager, she participated in the Deaflympics as a swimmer and became interested in the environment because she was unable to swim in a heavily polluted creek near their home. Upon graduation from high school, she enrolled at Harvard University, studying both environmental science and public policy. When she entered Harvard, there were no sign language interpreters on the staff, but the university hired one midway through Solomon's first semester. She graduated with a Bachelor of Arts in 1996. Furthering her education, Solomon went on to earn a master's degree in biological oceanography from the University of Washington. Solomon earned her a PhD in biological oceanography from the University of Maryland in 2006. Career After completion of her master's, Solomon, who wanted to inspire other deaf and hard-of-hearing students, joined the faculty of Gallaudet University in 2000. She was promoted to full professor in 2011. Her research focuses on the ecological effects that occur when algae, bacteria, and viruses interact with nitrogen byproducts from agricultural production and other human activity. Studying waterways such as the Chesapeake Bay and the Anacostia River, she analyzes the occurrence of algal blooms and pollutants to determine prevention measures which can be implemented in conservation efforts. Recognizing that her students are more visual than auditory, Solomon often demonstrates lessons in a visual way, such as lining up chairs to represent skin and having a student playing a pathogen try to break through. Working in tandem with the Anacostia Riverkeeper Project, the DC Water Research and Resources Institute, the Department of Energy and Environment, the Maryland Sea Grant College Program, and the National Science Foundation's Research Experiences for Undergraduates program, Solomon conducts summer research projects to help students not only learn how to research, but to understand the need to communicate their findings to create conservation policy.
https://en.wikipedia.org/wiki/Sadosky%20Prize
The AWM–Sadosky Prize in Analysis is a prize given every other year by the Association for Women in Mathematics to an outstanding young female researcher in mathematical analysis. It was established in 2012, and is named after Cora Sadosky, a mathematician specializing in analysis who became president of the AWM. The winners have included: Svitlana Mayboroda (2014), for her research on "boundary value problems for second and higher order elliptic equations in non-smooth media". Daniela De Silva (2016), for "fundamental contributions to the regularity theory of nonlinear elliptic partial differential equations and non-local integro-differential equations". Lillian Pierce (2018), for research that "spans and connects a broad spectrum of problems ranging from character sums in number theory to singular integral operators in Euclidean spaces". Mihaela Ignatova (2020), "in recognition of her contributions to the analysis of partial differential equations, in particular in fluid mechanics". Yaiza Canzani (2022), "in recognition of outstanding contributions in spectral geometry and microlocal analysis". See also List of awards honoring women List of mathematics awards References External links AWM–Sadosky Prize in Analysis, Association for Women in Mathematics Awards honoring women Awards and prizes of the Association for Women in Mathematics Awards established in 2012 Research awards Early career awards Biennial events
https://en.wikipedia.org/wiki/Lillian%20Pierce
Lillian Beatrix Pierce is a mathematician whose research connects number theory with harmonic analysis. She is a professor of mathematics at Duke University. Early life and education Pierce was home-schooled in Fallbrook, California and began playing the violin at age four. By age 11 she began performing professionally as a violinist. As a teenager, she also started taking classes at a local community college, accumulating so many units that some of the universities she applied to refused to consider her for freshman admission. She entered Princeton University majoring in mathematics but intending to pursue an MD–PhD program; under the influence of faculty mentor and undergraduate thesis supervisor Elias M. Stein, her interests shifted towards pure mathematics. As an undergraduate, she also became an intern at the National Security Agency. She was Princeton's 2002 valedictorian and became a Rhodes Scholar, repeating two accomplishments of her brother Niles Pierce from nine years earlier. She earned a master's degree at the University of Oxford in 2004. Returning to Princeton for doctoral study in mathematics, she completed her Ph.D. in 2009. Her dissertation, Discrete Analogues in Harmonic Analysis, was supervised by Stein. Career After postdoctoral studies with Roger Heath-Brown at Oxford and at the Hausdorff Center for Mathematics in Bonn, Germany, she became an assistant professor at Duke in 2014. Research Pierce was one of the first mathematicians to prove nontrivial upper bounds on the number of elements of finite order in an ideal class group. Awards and honors Pierce won the 2018 Sadosky Prize for research that "spans and connects a broad spectrum of problems ranging from character sums in number theory to singular integral operators in Euclidean spaces" including in particular "a polynomial Carleson theorem for manifolds". She received the 2019 Presidential Early Career Award for Scientists and Engineers. She was elected a Fellow of the American Mathematical Society in the class of 2021 "for contributions to number theory and harmonic analysis". Personal life Her husband, Tobias Overath, also works at Duke as a neuroscientist. References Further reading External links Home page Year of birth missing (living people) Living people 21st-century American mathematicians American women mathematicians American women violinists Princeton University alumni American Rhodes Scholars Alumni of the University of Oxford Duke University faculty 21st-century women mathematicians 21st-century American violinists 21st-century American women musicians Fellows of the American Mathematical Society
https://en.wikipedia.org/wiki/Semyon%20Belozyorov
Semyon Yefimovich Belozyorov (; 6 February 1904 — 1987) was a Soviet and Russian mathematician and a specialist in the field of history of mathematics. Professor, Candidate of Physical and Mathematical Sciences, Director of Rostov State University in 1938–1954. Biography Semyon Yefimovich Belozyorov was born on 6 February 1904. He studied at the Kulikovo village school in Kalachinsky District of Omsk Oblast. In his teens he worked as a shepherd in his home village. At the age of 18 he enrolled at Rabfak, and later graduated with honors from the Physics and Mathematics Faculty of Saratov State University and started to work there as teacher. In 1938 he was appointed Director of Rostov State University and remained at this post in the most difficult years of the university. In 1939, under the leadership of Professor Mark Vygodsky he defended his thesis on the topic "From the history of the theory of functions of a complex variable". He was one of the first scientists in the Soviet Union to specialize in the field of history of mathematics (which was viewed ambiguously by the Soviet academic circles at that time), and specifically studied the history of the theory of analytic functions. He was the author of a number of scientific works and monographs: "The main stages in the development of the general theory of analytic functions" (1962), "Five famous problems of antiquity" (1975), etc. He laid the foundations of a thorough study of the history of Saratov State University, and was the author of various publications on that topic. For many years he read a special lecture course "History and the modern theory of famous problems of antiquity" at Rostov State University. He died in 1987. References 1904 births 1987 deaths Academic staff of Southern Federal University Saratov State University alumni Recipients of the Order of the Red Banner of Labour
https://en.wikipedia.org/wiki/Bonnie%20Gold
Bonnie Gold (born 1948) is an American mathematician, mathematical logician, philosopher of mathematics, and mathematics educator. She is a professor emerita of mathematics at Monmouth University. Education and career Gold completed her Ph.D. in 1976 at Cornell University, under the supervision of Michael D. Morley. She was the chair of the mathematics department at Wabash College before moving to Monmouth, where she also became department chair. Contributions The research from Gold's dissertation, Compact and -compact formulas in , was later published in the journal Archiv für Mathematische Logik und Grundlagenforschung, and concerned infinitary logic. With Sandra Z. Keith and William A. Marion she co-edited Assessment Practices in Undergraduate Mathematics, published by the Mathematical Association of America (MAA) in 1999. With Roger A. Simons, Gold is also the editor of another book, Proof and Other Dilemmas: Mathematics and Philosophy (MAA, 2008). Her essay "How your philosophy of mathematics impacts your teaching" was selected for inclusion in The Best Writing on Mathematics 2012. In it, she argues that the philosophy of mathematics affects the teaching of mathematics even when the teacher's philosophical principles are implicit and unexamined. Recognition In 2012, Gold became the winner of the 22nd Louise Hay Award of the Association for Women in Mathematics for her contributions to mathematics education. The award citation noted her work in educational assessment for undergraduate study in mathematics. References External links Home page 1948 births Living people American mathematicians Women mathematicians Philosophers of mathematics Mathematics educators Cornell University alumni Wabash College faculty Monmouth University faculty
https://en.wikipedia.org/wiki/Radha%20Kessar
Radha Kessar is an Indian mathematician known for her research in the representation theory of finite groups. She is a professor of mathematics at the University of Manchester, and in 2009 won the Berwick Prize of the London Mathematical Society. Education and career Kessar graduated from Panjab University in 1991. She completed her Ph.D. in 1995 from Ohio State University; her dissertation, Blocks And Source Algebras For The Double Covers Of The Symmetric Groups, was supervised by Ronald Solomon. After taking visiting assistant professor positions at Yale University and the University of Minnesota, and working as a Weir Junior Research Fellow at University College, Oxford, she returned to Ohio State as an assistant professor in 2002. She moved to the University of Aberdeen in 2005, to City, University of London in 2012, and then to the University of Manchester in 2022. Book With Michael Aschbacher and Bob Oliver, she is an author of the book Fusion Systems in Algebra and Topology (Cambridge University Press, 2011). Recognition Her 2009 Berwick award was joint with her future City colleague Joseph Chuang, for the research reported in their paper "Symmetric Groups, Wreath Products, Morita Equivalences and Broué's Abelian Defect Conjecture". She was named MSRI Simons Professor for 2017-2018. References External links Home page Year of birth missing (living people) Living people British mathematicians 20th-century Indian mathematicians 21st-century Indian mathematicians Indian women mathematicians Panjab University alumni Ohio State University alumni Yale University faculty University of Minnesota faculty Ohio State University faculty Academics of the University of Aberdeen Academics of City, University of London Women scientists from Punjab, India British women mathematicians 20th-century women mathematicians 21st-century women mathematicians 20th-century Indian women
https://en.wikipedia.org/wiki/Tropical%20cryptography
In tropical analysis, tropical cryptography refers to the study of a class of cryptographic protocols built upon tropical algebras. In many cases, tropical cryptographic schemes have arisen from adapting classical (non-tropical) schemes to instead rely on tropical algebras. The case for the use of tropical algebras in cryptography rests on at least two key features of tropical mathematics: in the tropical world, there is no classical multiplication (a computationally expensive operation), and the problem of solving systems of tropical polynomial equations has been shown to be NP-hard. Basic Definitions The key mathematical object at the heart of tropical cryptography is the tropical semiring (also known as the min-plus algebra), or a generalization thereof. The operations are defined as follows for : It is easily verified that with as the additive identity, these binary operations on form a semiring. References Cryptography Tropical geometry
https://en.wikipedia.org/wiki/Laura%20Taalman
Laura Anne Taalman, also known as mathgrrl, is an American mathematician known for her work on the mathematics of Sudoku and for her mathematical 3D printing models. Her mathematical research concerns knot theory and singular algebraic geometry; she is a professor of mathematics at James Madison University. Life Taalman earned a bachelor's degree in mathematics from the University of Chicago in 1994. She completed her Ph.D. at Duke University in 2000; her dissertation, Monomial Generators for the Nash Sheaf of a Complete Resolution, was supervised by William L. Pardon. On finishing her doctorate, she joined the James Madison faculty; she has also worked as the mathematician-in-residence at the National Museum of Mathematics in 2014–2015. 3d printing In 2013–2014, after becoming head of the 3d printing lab at James Madison University, Taalman set out on a project of printing one 3d model per day. Her models have included subjects from mathematics including knots, fractals, and snap-together polyhedra. Books With Peter Kohn, Taalman is the author of a textbook Calculus. She is also the author of a different text, Calculus I with Integrated Precalculus. With Jason Rosenhouse (also a mathematics professor at James Madison University) she is the author of Taking Sudoku Seriously: The Mathematics Behind the World’s Most Popular Pencil Puzzle. She has also written a series of Sudoku puzzle books with Philip Riley. Awards and honors Taalman won the Trevor Evans Award of the Mathematical Association of America in 2003 for her work with Eugénie Hunsicker on the mathematics of modular architecture. In 2005, Taalman won the Henry L. Alder Award for Distinguished Teaching by a Beginning College or University Mathematics Faculty Member, given by the Mathematical Association of America. Her book Taking Sudoku Seriously was the 2012 winner of the PROSE Awards in the popular science and popular mathematics category. References External links Home page Year of birth missing (living people) Living people American women mathematicians 21st-century American mathematicians Recreational mathematicians Mathematics popularizers University of Chicago alumni Duke University alumni James Madison University faculty 21st-century women mathematicians 21st-century American women
https://en.wikipedia.org/wiki/Binomial%20process
A binomial process is a special point process in probability theory. Definition Let be a probability distribution and be a fixed natural number. Let be i.i.d. random variables with distribution , so for all . Then the binomial process based on n and P is the random measure where Properties Name The name of a binomial process is derived from the fact that for all measurable sets the random variable follows a binomial distribution with parameters and : Laplace-transform The Laplace transform of a binomial process is given by for all positive measurable functions . Intensity measure The intensity measure of a binomial process is given by Generalizations A generalization of binomial processes are mixed binomial processes. In these point processes, the number of points is not deterministic like it is with binomial processes, but is determined by a random variable . Therefore mixed binomial processes conditioned on are binomial process based on and . Literature Point processes
https://en.wikipedia.org/wiki/Natangwe%20Petrus
Natangwe Peuya Onyika Petrus (born 15 May 2000) is a Namibian international footballer who plays as a midfielder for Okahandja United. Career statistics International References Living people Namibian men's footballers Namibia men's international footballers Men's association football midfielders 2000 births
https://en.wikipedia.org/wiki/William%20Gerard%20Dwyer
William Gerard Dwyer (born 1947) is an American mathematician specializing in algebraic topology and group theory. For many years he was a professor at the University of Notre Dame, where he is the William J. Hank Family Professor Emeritus. Life He was born in 1947 in Jersey City, New Jersey. Career Dwyer completed his B.A. at Boston College in 1969. He completed his Ph.D. at the Massachusetts Institute of Technology in 1973. His doctoral thesis was on Strong Convergence of the Eilenberg-Moore Spectral Sequence and his doctoral advisor was Daniel Kan. Afterwards he taught at Yale University and visited the Institute for Advanced Study in Princeton, New Jersey before joining the faculty at the University of Notre Dame. In 1998 Dwyer was an invited speaker at the International Congress of Mathematicians in Berlin. In 2007 he was awarded a Doctor Honoris Causa degree by the University of Warsaw. He was elected a Fellow of the American Mathematical Society in 2012. He is currently emeritus professor of mathematics at the University of Notre Dame. Publications References External links (See operad.) 20th-century American mathematicians 21st-century American mathematicians 1947 births Living people People from Jersey City, New Jersey Mathematicians from New Jersey Topologists Massachusetts Institute of Technology School of Science alumni University of Notre Dame faculty Fellows of the American Mathematical Society Boston College alumni