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https://en.wikipedia.org/wiki/Lambek%20%28disambiguation%29
Lambek may refer to: Joachim Lambek (1922–2014), professor of pure mathematics at McGill University. Lambek–Moser theorem, a combinatorial number theory. Michael Lambek (born 1950), professor of anthropology at the University of Toronto Scarborough.
https://en.wikipedia.org/wiki/Je%C4%BCena%20Ostapenko%20career%20statistics
This is a list of the main career statistics of the Latvian professional tennis player Jeļena Ostapenko. She won the 2017 French Open. Performance timelines Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records. Singles Current through the 2023 Cincinnati Open. Doubles Current after the 2023 Dubai Open. Mixed Doubles Grand Slam finals Singles: 1 (1 title) Mixed doubles: 1 (1 runner–up) Other significant finals WTA 1000 finals Singles: 2 (2 runner-ups) Doubles: 4 (2 titles, 2 runner-ups) WTA career finals Singles: 14 (6 titles, 8 runner-ups) Doubles: 13 (6 titles, 7 runner-ups) Note: Tournaments sourced from official WTA archives ITF Circuit finals Singles: 10 (7 titles, 3 runner-ups) Doubles: 9 (8 titles, 1 runner-up) Note: Tournaments sourced from official ITF archives Junior Grand Slam tournament finals Girls' singles: 1 (title) Fed Cup/Billie Jean King Cup participation Singles: 12 (7–5) Doubles: 10 (6–4) WTA Tour career earnings Current after the 2022 Wimbledon. {|cellpadding=3 cellspacing=0 border=1 style=border:#aaa;solid:1px;border-collapse:collapse;text-align:center; |-style=background:#eee;font-weight:bold |width="90"|Year |width="100"|Grand Slam <br/ >titles|width="100"|WTA <br/ >titles |width="100"|Total <br/ >titles |width="120"|Earnings ($) |width="100"|Money list rank |- |2014 |0 |0 |0 | align="right" |14,417 |389 |- |2015 |0 |0 |0 | align="right" |214,080 |132 |- |2016 |0 |0 |0 | align="right" |691,668 |46 |- |2017 |1 |1 |2 | align="right" |3,998,026 | bgcolor="eee8aa" |6 |- |2018 |0 |0 |0 | align="right" |2,602,164 |15 |- |2019 |0 |1 |1 | align="right" |1,123,812 |38 |- |2020 |0 |0 |0 | align="right" |415,805 |52 |- |2021 |0 |1 |1 | align="right" |1,091,204 |29 |- |2022 |0 |1 |1 |align=right|1,284,980 |16 |- style="font-weight:bold;" |Career |1 |4 |5 | align="right" |11,450,283 |48 |} Career Grand Slam statistics Seedings The tournaments won by Ostapenko are in boldface, and advanced into finals by Ostapenko are in italics. Best Grand Slam tournament results details Grand Slam winners are in boldface', and runner–ups are in italics.Record against other players No. 1 wins Record against top 10 players She has a 21–31 () record against players who were, at the time the match was played, ranked in the top 10.'' Notes References External links Ostapenko, Jelena
https://en.wikipedia.org/wiki/Joachim%20Engel
Joachim Engel (born 1954) is a German scientist and a professor. Since 2006 he has been professor of Mathematics and Mathematical Education at the Ludwigsburg University of Education, after two years as a Professor of Mathematical Education at Leibniz University Hannover (2004–2006). Before becoming a professor he worked as a research fellow at the University of Heidelberg in applied mathematics and the University of Bonn in Economics and was a Visiting Assistant Professor at the University of Michigan in Ann Arbor. Training Engel obtained a German Diploma in Mathematics in 1977 and teaching credentials as a high school teacher (Mathematics and Theology) at the University of Bonn. After his graduation he joined Eirene – International Christian Service for Peace and worked as volunteer with troubled teenagers in Ohio and with a community serving the homeless in Los Angeles. Back to academic life, he obtained a master's degree at the University of Southern California in 1986 and his PhD in applied mathematics in 1988. He then worked in the US and Germany as a research fellow and obtained his German Habilitation in mathematics education from Ludwigsburg University in 1998. Academic contributions In his early work Joachim Engel specialized in nonparametric curve estimation and signal detection applying methods of harmonic analysis (Engel, 1994) (Engel & Kneip 1996) and kernel regression to biomedical growth curves and economics. Recently he is best known for his contributions in Statistics Education, investigating students’ comprehension of randomness and variability (Engel & Sedlmeier 2005) and introducing computer intensive methods, based, for instance, on bootstrap procedures (Engel & Grübel, 2008). His experience on didactical methods for explaining functions and their uses for modeling real world problems is reflected in his widely used highly successful textbook on applying functions for modeling based on data. He also wrote a well-known textbook on Complex Variables. He has been an active member of the International Association for Statistical Education (IASE) and a coordinator of ProCivicStat (www.procivicstat.org), a strategic Partnership sponsored under the Erasmus+ program of the EU, aimed and empowering people to understand statistics about society. Since September 2019 he is president of IASE. Books Articles References 1954 births Living people 20th-century German mathematicians University of Michigan people 21st-century German mathematicians Academic staff of the Ludwigsburg University of Education
https://en.wikipedia.org/wiki/Journal%20of%20Mathematical%20Analysis%20and%20Applications
The Journal of Mathematical Analysis and Applications is an academic journal in mathematics, specializing in mathematical analysis and related topics in applied mathematics. It was founded in 1960, as part of a series of new journals on areas of mathematics published by Academic Press, and is now published by Elsevier. For most years since 1997 it has been ranked by SCImago Journal Rank as among the top 50% of journals in its topic areas. References Elsevier academic journals Mathematics journals Mathematical analysis
https://en.wikipedia.org/wiki/V.%20Lakshmibai
Venkatraman Lakshmibai is an Indian mathematician who is a professor emerita of mathematics at Northeastern University in Boston. Her research concerns algebraic geometry, the theory of algebraic groups, and representation theory, including in particular the theory of flag varieties and Schubert varieties. Lakshmibai earned her PhD in 1976 from the Tata Institute of Fundamental Research. With Sara Billey she is the co-author of the monograph Singular Loci of Schubert Varieties (Progress in Mathematics 182, Birkhäuser, 2000). She has also co-authored two monographs with Justin Brown: Flag Varieties: An Interplay of Geometry, Combinatorics, and Representation Theory (Texts and Readings in Mathematics 53, Hindustan Book Agency, 2009) and The Grassmannian Variety: Geometric and Representation-Theoretic Aspects (Developments in Mathematics 42, Springer, 2015). In 2012 she was selected as one of the inaugural fellows of the American Mathematical Society. References External links Home page Year of birth missing (living people) Living people Indian women mathematicians 20th-century American mathematicians 21st-century American mathematicians Algebraic geometers Northeastern University faculty Fellows of the American Mathematical Society Women scientists from Maharashtra 20th-century Indian mathematicians 20th-century women mathematicians 21st-century women mathematicians Tata Institute of Fundamental Research alumni 20th-century Indian women
https://en.wikipedia.org/wiki/Ethics%20in%20mathematics
Ethics in mathematics is an emerging field of applied ethics, the inquiry into ethical aspects of the practice and applications of mathematics. It deals with the professional responsibilities of mathematicians whose work influences decisions with major consequences, such as in law, finance, the military, and environmental science. When understood in its socio-economic context, the development of mathematical works can lead to ethical questions ranging from the handling and manipulation of big data to questions of responsible mathematisation and falsification of models, explainable and safe mathematics, as well as many issues related to communication and documentation. The usefulness of a Hippocratic oath for mathematicians is an issue of ongoing debate among scholars. As an emerging field of applied ethics, many of its foundations are still highly debated. The discourse remains in flux. Especially the notion that mathematics can do harm remains controversial. The ethical questions surrounding the practice of mathematics can be connected to issues of dual-use. An instrumental interpretation of the impact of mathematics makes it difficult to see ethical consequences, yet it might be easier to see how all branches of mathematics serve to structure and conceptualize solutions to real problems. These structures can set up perverse incentives, where targets can be met without improving services, or league table positions are gamed. While the assumptions written into metrics often reflect the worldview of the groups who are responsible for designing them, they are harder for non-experts to challenge, leading to injustices. As mathematicians can enter the workforce of industrialised nations in many places that are no longer limited to teaching and academia, scholars have made the argument that it is necessary to add ethical training into the mathematical curricula at universities. The philosophical positions on the relationship between mathematics and ethics are varied. Some philosophers (e.g. Plato) see both mathematics and ethics as rational and similar, while others (e.g. Rudolf Carnap) see ethics as irrational and different from mathematics. Possible tensions between applying mathematics in a social context and its ethics can already be observed in Plato's Republic (Book VIII) where the use of mathematics to produce better guardians plays a critical role in its collapse. Need for ethics in the mathematics profession Mathematicians in industrial, scientific, military and intelligence roles crucially influence decisions with significant consequences. Issues of accuracy For example, complex calculations were needed for the success of the Manhattan Project, while the overextended use of the Gaussian copula formula to price derivatives before the Global Financial Crisis of 2008 has been called "the formula that killed Wall Street", and the theory of global warming depends on the reliability of mathematical models of climate. Issues of impact For the
https://en.wikipedia.org/wiki/Joseph%20Neisendorfer
Joseph Alvin Neisendorfer (born April 22, 1945 in Chicago) is an American mathematician known for his work in homotopy theory, an area of algebraic topology. He is a Fellow of the American Mathematical Society. Education and career Neisendorfer earned his bachelor's degree in 1967 from the University of Chicago. He earned his master's degree in 1968 and his doctorate in 1972 from Princeton University, working under the direction of John Coleman Moore. In 1972, he began working as an assistant professor at the University of Notre Dame, then in 1976 at Syracuse University, and then in 1978 at Fordham University. In 1980–1981, he worked at the Institute for Advanced Study after which he became an associate professor at Ohio State University. He served as a professor at the University of Rochester from 1985 until his retirement in 2011, serving as department chair from 1994 to 1996. During his tenure as the department chair, the University of Rochester experienced severe financial challenges which led to significant restructuring entitled the Rochester Renaissance Plan. In November 1995, the mathematics department was told by the University of Rochester administration that the doctoral program was slated for removal and that the departmental faculty slated for significant downsizing, and admissions to the University of Rochester doctoral program in Mathematics were suspended. This decision led to the involvement of the American Mathematical Society, who passed a resolution urging Rochester to reconsider and formed a task force (chaired by Arthur Jaffe) to address the issue. After a fact-finding committee organized by Neisendorfer sent their report to the university administration, the doctoral program in mathematics was restored. Publications References 1945 births Living people 20th-century American mathematicians University of Chicago alumni Princeton University alumni University of Rochester faculty Fellows of the American Mathematical Society Topologists University of Notre Dame faculty Syracuse University faculty Ohio State University faculty Institute for Advanced Study people Mathematicians from Illinois Scientists from Chicago 21st-century American mathematicians
https://en.wikipedia.org/wiki/Homelessness%20in%20the%20Netherlands
Homelessness in the Netherlands is a growing social problem in the Netherlands, affecting 32,000 people in 2018. The homeless population has risen between the years of 2009 and 2019. Statistics In 2015, 31,000 people did not have a permanent place to stay, 13,000 more than in 2009 (74% increase over 6 years). The increase of non-Western population was larger, about 100%. Especially among young people homelessness is high. Between January 2015 and 2016 homelessness among people aged 18 through 30 increased from 8,000 to 12,400, an increase of 55% in just one year. In 2018, the number of homeless has risen to 39,300. In international comparison, the proportion of homelessness among legal residents of the Netherlands (0.18%) is equal to homelessness in the United States (0.18%), slightly lower than in France (0.21%), and even lower than in the United Kingdom (0.31%) and Germany (0.35%). Official statistics of homelessness in the Netherlands are collected by Statistics Netherlands and do not include numbers of people who live in the Netherlands who are homeless, but do not have legal immigration status in the country. Housing solutions Several organizations in the Netherlands, like the Salvation Army, offer places to stay for a night. Reasons that many homeless people do not want to sleep in shelters, sometimes even when it freezes, include high drunkenness among residents, fighting, screaming, sexual harassment, and stealing of personal properties by residents of shelters. Homeless people sleep in the streets, alleys, under bridges, in fields, dunes, along highways, in forests or illegally enter buildings. The number of outside dwellers is higher in the summer than in the winter, when additional places are offered in the shelters. It is illegal to sleep without a permit on property that isn't one's own, so homeless people regularly get fined. See also List of countries by homeless population References Netherlands Society of the Netherlands Housing in the Netherlands
https://en.wikipedia.org/wiki/Erich%20Bessel-Hagen
Erich Bessel-Hagen (12 September 1898 in Charlottenburg – 29 March 1946 in Bonn) was a German mathematician and a historian of mathematics. Erich Paul Werner Bessel-Hagen was born in 1898 in Charlottenburg, a suburb, later a district in Berlin. He studied at the University of Berlin where in 1920 he obtained a Ph.D. in mathematics under the direction of Constantin Carathéodory. His reputation was that of a gentleman as well as a conscientious intellect. This was averred in the early 1940s, when the ruling Nazis increased their persecutions of German officials who have Jewish ancestry. After Felix Hausdorff (a professor 30 years his senior) had been retired and placed under restrictions, Bessel-Hagen became the only former colleague who visited him regularly. On noticing that Hausdorff used private math researches to while away time, he started bringing him books he had borrowed from a library which no longer welcomed Jews. References External links Differential geometers 20th-century German mathematicians 1898 births 1946 deaths
https://en.wikipedia.org/wiki/Frieda%20Nugel
Frieda Nugel (1884–1966) was a German mathematician and civil rights activist, one of the first German women to earn a doctorate in mathematics. She earned her PhD at Martin Luther University of Halle-Wittenberg in 1912, under the supervision of August Gutzmer. Early life Nugel was the fourth of six children of a musician, Friedrich Arthur Nugel. She was born on 18 June 1884 in Cottbus. She studied at the Mädchen-Mittelschule (Girl's Middle School) there until 1901, then began studies at the Höhere Mädchenschule (Girl's High School) until 1906. Shortly after, she completed the state teaching examination in Berlin. Returning to Cottbus, she worked as a private tutor for the Von Werdeck family, before taking the final level of German mathematics exams under the tutelage of Rudolf Tiemann. Career In 1906 Nugel became certified as a teacher, and began working as a private instructor for the Werdeck family near Cottbus. After finishing her studies at the Luisenstädtische Oberschule (High School) in 1907, she started university studies in Berlin. She moved to Munich in 1909, and moved again to Halle in the same year. She took a position as a teacher at a girls' school in Cottbus, but taught there only for two years, until her marriage to Louis Hahn in 1914. The first of their four children was born in 1915. She moved with her husband to Altena and then Emden, her husband's home town, where he worked at his family's newspaper business. She taught intermittently at two schools there from 1914 to 1918, during World War I, but from then until 1927 she taught only privately, also publishing works promoting civil rights and better education for women. In 1927, after the collapse of her husband's newspaper business, Nugel obtained a part-time position at a school in Emden. By 1930 her position there had become permanent, albeit at a smaller salary than the men in her school. The subjects she taught during this time included mathematics, physics, and German. Between 1939 and 1945 she witnessed the bombing of the city of Emden, as part of WWII, and the school was forced to move to Bad Wildungen; her two sons served as officers in the war, and were both killed in 1944. Nugel retired in 1945 at the age of 61. Her husband died of an illness in 1952. In 1955, she moved to Bad Godesberg in order to connect with her remaining family. In 1962, the Faculty of Mathematics and Natural Sciences at Halle gave her a "Golden Doctoral Diploma" award, on the 50th anniversary of her 1912 dissertation. She died on 6 November 1966 in the town of Bad Godesberg. Published works Die Schraubenlinien. Eine monographische Darstellung (1912) The helices. A monographic illustration., was Nugel's dissertation piece at the University of Halle-Wittenberg. Die deutsche Hausfrau und der Krieg (1916) The German Housewife and the War details the German wife's struggle of maintaining the household during war times, while also pursuing their own personal life goals. Begins with a quote from
https://en.wikipedia.org/wiki/Christian%20Neidhart
Christian Neidhart (born 1 October 1968) is a German football manager and former player. He is the father of fellow footballer Nico Neidhart. Managerial statistics References External links 1968 births Living people Footballers from Braunschweig German men's footballers Men's association football forwards Eintracht Braunschweig players Wacker 04 Berlin players VfL Osnabrück players FC Sachsen Leipzig players BV Cloppenburg players VfB Oldenburg players DDR-Oberliga players 2. Bundesliga players German football managers 3. Liga managers VfB Oldenburg managers SV Wilhelmshaven managers SV Meppen managers Rot-Weiss Essen managers SV Waldhof Mannheim managers German expatriate men's footballers German expatriate sportspeople in China Expatriate men's footballers in China West German men's footballers
https://en.wikipedia.org/wiki/Jacqueline%20Hughes-Oliver
Jacqueline Mindy-Mae Hughes-Oliver is a Jamaican-born American statistician, whose research interests include drug discovery and chemometrics. She is a professor in the Statistics Department of North Carolina State University (NCSU). Education and career Hughes-Oliver was born in Jamaica, where she grew up and went to school, living with her grandmother there while her mother worked in the US, in Cincinnati. She became a US citizen at age 12, and moved to the US at age 15. She graduated magna cum laude in mathematics from the University of Cincinnati in 1986, and earned her PhD in statistics at NCSU in 1991, becoming possibly the first African-American doctorate from her department. Her dissertation, entitled "Estimation using group-testing procedures: adaptive iteration", supervised by William H. Swallow, concerned adaptive group testing. After taking a temporary position at the University of Wisconsin at Madison, Hughes-Oliver returned to NCSU as a faculty member in 1992. At NCSU, she directed the Exploratory Center for Cheminformatics Research, a large research group that she founded in 2005 with a large grant from the National Institutes of Health, and directed the graduate program in statistics beginning in 2007. She has also worked as a professor of statistics at George Mason University from 2011 to 2014, but kept her position at NCSU and returned to it. Awards and honors In 2007 Hughes-Oliver was elected as a Fellow of the American Statistical Association. She is the 2014 winner of the Blackwell-Tapia prize, awarded both for her contributions to the methodology and applications of statistics and also for her efforts to increase the diversity of the mathematical sciences. Her work also earned her recognition by Mathematically Gifted & Black as a Black History Month 2017 Honoree. She was elected to the 2022 class of Fellows of the American Association for the Advancement of Science (AAAS). References External links Home page Jacqueline Hughes-Oliver, Mathematicians of the African Diaspora, Scott W. Williams, SUNY Buffalo Year of birth missing (living people) Living people American statisticians Women statisticians African-American statisticians 21st-century African-American scientists Jamaican academics Women mathematicians Fellows of the American Statistical Association University of Cincinnati alumni North Carolina State University alumni North Carolina State University faculty George Mason University faculty Jamaican women academics 21st-century African-American academics 21st-century American academics
https://en.wikipedia.org/wiki/Configuration%20space
Configuration space may refer to: Configuration space (physics) Configuration space (mathematics), the space of arrangements of points on a topological space PCI configuration space, the underlying way that the Conventional PCI, PCI-X and PCI Express perform auto configuration of the cards inserted into their bus
https://en.wikipedia.org/wiki/Configuration%20space%20%28mathematics%29
In mathematics, a configuration space is a construction closely related to state spaces or phase spaces in physics. In physics, these are used to describe the state of a whole system as a single point in a high-dimensional space. In mathematics, they are used to describe assignments of a collection of points to positions in a topological space. More specifically, configuration spaces in mathematics are particular examples of configuration spaces in physics in the particular case of several non-colliding particles. Definition For a topological space and a positive integer , let be the Cartesian product of copies of , equipped with the product topology. The nth (ordered) configuration space of is the set of n-tuples of pairwise distinct points in : This space is generally endowed with the subspace topology from the inclusion of into . It is also sometimes denoted , , or . There is a natural action of the symmetric group on the points in given by This action gives rise to the th unordered configuration space of , which is the orbit space of that action. The intuition is that this action "forgets the names of the points". The unordered configuration space is sometimes denoted , , or . The collection of unordered configuration spaces over all is the Ran space, and comes with a natural topology. Alternative formulations For a topological space and a finite set , the configuration space of with particles labeled by is For , define . Then the th configuration space of X is , and is denoted simply . Examples The space of ordered configuration of two points in is homeomorphic to the product of the Euclidean 3-space with a circle, i.e. . More generally, the configuration space of two points in is homotopy equivalent to the sphere . The configuration space of points in is the classifying space of the th braid group (see below). Connection to braid groups The -strand braid group on a connected topological space is the fundamental group of the th unordered configuration space of . The -strand pure braid group on is The first studied braid groups were the Artin braid groups . While the above definition is not the one that Emil Artin gave, Adolf Hurwitz implicitly defined the Artin braid groups as fundamental groups of configuration spaces of the complex plane considerably before Artin's definition (in 1891). It follows from this definition and the fact that and are Eilenberg–MacLane spaces of type , that the unordered configuration space of the plane is a classifying space for the Artin braid group, and is a classifying space for the pure Artin braid group, when both are considered as discrete groups. Configuration spaces of manifolds If the original space is a manifold, its ordered configuration spaces are open subspaces of the powers of and are thus themselves manifolds. The configuration space of distinct unordered points is also a manifold, while the configuration space of not necessarily distinct unord
https://en.wikipedia.org/wiki/Alauddin%20Khalji%27s%20conquest%20of%20Jalore
{ "type": "FeatureCollection", "features": [ { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Jalore" }, "geometry": { "type": "Point", "coordinates": [72.6253763, 25.344480] } }, { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Delhi" }, "geometry": { "type": "Point", "coordinates": [77.2273958, 28.661898] } } ] } In 1311 Delhi Sultanate ruler Alauddin Khalji dispatched an army to capture the Jalore Fort in present-day Rajasthan, India. Jalore was ruled by the Chahamana ruler Kanhadadeva, whose armies had earlier fought several skirmishes with the Delhi forces, especially since Alauddin's conquest of the neighboring Siwana fort. Kanhadadeva's army achieved some initial successes against the invaders, but the Jalore fort ultimately fell to an army led by Alauddin's general Malik Kamal al-Din. Kanhadadeva and his son Viramadeva were killed, thus ending the Chahamana dynasty of Jalore. Background The kingdom of Jalore was ruled by a branch of the Chahamanas. In 1291-92 Alauddin's predecessor Jalaluddin Khalji invaded Jalore, but was forced to retreat after the Vaghelas came to the rescue of the Jalore king Samantasimha. From at least 1296–1305, Samantasimha's son and successor Kanhadadeva jointly ran the administration with his father. During this period, in 1299, Alauddin dispatched an army to Gujarat, and defeated the Vaghelas. During the army's return to Delhi, some of its soldiers staged an unsuccessful mutiny. The 17th-century chronicler Nainsi states that the Jalore army supported this mutiny, although this is doubtful. Cause of invasion The 16th-century chronicler Firishta claims that Kanhadadeva ("Nahar Deo") accepted Alauddin's suzerainty around 1305. Some years later Kanhadadeva heard Alauddin boasting that no Hindu ruler could challenge him. This rekindled Kanhadadeva's sense of pride, and he decided to attack Alauddin, resulting in an invasion of Jalore. This narrative is also repeated by 17th-century historian Hajiuddabir. According to legends in Padmanābha's Kanhadade Prabandha (15th century) and Nainsi ri Khyat (17th century), one of Alauddin's daughters fell in love with Kanhadadeva's son Virama. However, Virama did not want to marry a Turkic girl, which led to tensions between the two kingdoms, and ultimately resulted in Alauddin's invasion of Jalore. According to K.S. Lal these reasons of invasion given by Nainsi, Firishta and Hajiuddabir aren't convincing. By 1310 Alauddin had subjugated the kingdoms surrounding Jalore, including Gujarat, Malwa, Chittor, Ranthambore and Siwana. It appears that he attacked Jalore simply because he wanted to put an end to Jalore's independent status. Initial skirmishes Alauddin's courtier Amir Khusrau states that after conquering Siwana, Alauddin returned to Delhi, ordering his generals to subjugate other parts of the Marwar region. According to Jinaprabha Suri's Vividha Tirtha Kalpa, the Delhi army dese
https://en.wikipedia.org/wiki/Minimal%20algebra
Minimal algebra is an important concept in tame congruence theory, a theory that has been developed by Ralph McKenzie and David Hobby. Definition A minimal algebra is a finite algebra with more than one element, in which every non-constant unary polynomial is a permutation on its domain. Classification A polynomial of an algebra is a composition of its basic operations, -ary operations and the projections. Two algebras are called polynomially equivalent if they have the same universe and precisely the same polynomial operations. A minimal algebra falls into one of the following types (P. P. Pálfy) is of type , or unary type, iff , where denotes the universe of , denotes the set of all polynomials of an algebra and is a subgroup of the symmetric group over . is of type , or affine type, iff is polynomially equivalent to a vector space. is of type , or Boolean type, iff is polynomially equivalent to a two-element Boolean algebra. is of type , or lattice type, iff is polynomially equivalent to a two-element lattice. is of type , or semilattice type, iff is polynomially equivalent to a two-element semilattice. References Algebra
https://en.wikipedia.org/wiki/Normaliz
Normaliz is a free computer algebra system developed by Winfried Bruns, Robert Koch (1998–2002), Bogdam Ichim (2007/08) and Christof Soeger (2009–2016). It is published under the GNU General Public License version 2. Normaliz computes lattice points in rational polyhedra, or, in other terms, solves linear diophantine systems of equations, inequalities, and congruences. Special tasks are the computation of lattice points in bounded rational polytopes and Hilbert bases of rational cones. Normaliz also computes enumerative data, such as multiplicities (volumes) and Hilbert series. The kernel of Normaliz is a templated C++ class library. For multivariate polynomial arithmetic it uses CoCoALib. Normaliz has interfaces to several general computer algebra systems: CoCoA, GAP, Macaulay2 and Singular. It can be used interactively via its Python interface PyNormaliz. Its use in SageMath is in preparation. Jesús A. De_Loera cites Normaliz among his favorite programs for computing Hilbert basis. See also Comparison of computer algebra systems References External links Publications and examples of Normaliz applications http://github.com/normaliz/Normaliz Computer algebra system software for Linux Computer algebra system software for macOS Computer algebra system software for Windows Cross-platform free software Free computer algebra systems Computer algebra systems
https://en.wikipedia.org/wiki/Ivan%20Corwin
Ivan Zachary Corwin (born May 24, 1984) is a professor of mathematics at Columbia University. Research His research concerns probability, mathematical physics, quantum integrable systems, stochastic PDEs, and random matrix theory. He is particularly known for work related to the Kardar–Parisi–Zhang equation. Education and career Corwin was born in Poughkeepsie, New York. He graduated from Harvard University in 2006 receiving an A.B. in Mathematics, and subsequently received his Ph.D. from the Courant Institute at New York University under direction of Gerard Ben Arous. He held the first Schramm Memorial Postdoctoral Fellowship at Microsoft Research, New England and MIT from 2012–2014, was a Clay Research Fellow from 2012–2016, and held the first Poincare Chair in 2014 at the Institute Henri Poincare. In 2021, he held a Miller visiting professorship at the Miller Institute as well as a Simons Fellowship. Corwin has taught at Columbia University since 2013. He lives in New Rochelle, NY. Awards and honors In 2012 he received the Young Scientist Prize of the International Union of Pure and Applied Physics. In 2014, he was awarded a David and Lucile Packard Foundation Fellowship for Science and Engineering as well as the Rollo Davidson Prize. Also in that year, he was invited to present his work at the International Congress of Mathematicians. In 2017, along with Alexei Borodin and Patrik Ferrari, he received the inaugural Gerard L. Alexanderson Award from the American Institute of Mathematics. The following year, in 2018, he was elected as a fellow of the Institute of Mathematical Statistics. In 2021, Corwin was awarded the Loeve Prize and the following year, he was named a Fellow of the American Mathematical Society, in the 2022 class of fellows, "for contributions to integrable probability, the Kardar-Parisi-Zhang universality class, and stochastic vertex models". In 2022, Corwin was awarded a Simons Investigator grant. References 1984 births Living people 21st-century American mathematicians Probability theorists Harvard College alumni Courant Institute of Mathematical Sciences alumni Columbia University faculty Fellows of the Institute of Mathematical Statistics Fellows of the American Mathematical Society
https://en.wikipedia.org/wiki/Brenda%20Strassfeld
Brenda Carol Strassfeld (born 1954) is a mathematics educator and the chair of the Mathematics Education Program in the Graduate School of Education at Touro College. Much of her research concerns teachers’ and students’ attitudes and beliefs regarding teaching and learning mathematics, specifically geometry. Strassfeld has presented her research and worked to improve teacher education at the local, national and international level for over thirty years. Education and career Strassfeld received her bachelor's degree in mathematics and mathematics education and a master's degree in mathematics from Brooklyn College. After graduating, she taught a variety of classes as an adjunct, including courses in the mathematics department, and both elementary and secondary education at Brooklyn College. There, she also worked for the Center for Educational Change where she helped write a grant proposal called “What’s H.O.T. in Mathematics?”, a program that provided professional development in mathematics content and pedagogy to pre-service teachers at Brooklyn College and in-service New York City teachers. Later, Strassfeld worked briefly as a staff developer for District 2 of the New York City Department of Education. In 2000, she began her job at New York University (NYU) Steinhardt School of Culture, Education and Human Development, where she remained for over a decade. During this time, she served as director and co-director of the undergraduate and graduate level secondary mathematics education program. Shortly after she began her job at NYU, she decided to continue pursuing her doctorate degree. She earned her Ph.D. in mathematics education from the University of Plymouth, UK in 2008. In 2010, Strassfeld began her job at the Graduate School of Education, part of the Touro College and University System as the chair of the Mathematics Education program. She teaches pedagogy classes in secondary mathematics, specifically in geometry, statistics and probability. Strassfeld is also the EdTPA coordinator for the Graduate School of Education. References 1954 births American women mathematicians 20th-century American mathematicians 21st-century American mathematicians 20th-century women mathematicians 21st-century women mathematicians Living people Touro University System Brooklyn College alumni Brooklyn College faculty 20th-century American women 21st-century American women
https://en.wikipedia.org/wiki/George%20E.%20Nicholson%20Jr.
George E. Nicholson Jr. (June 15, 1918 – December 3, 1971) was a professor, mathematician, academic, researcher, Chairman of the UNC Department of Statistics, and Medal of Freedom recipient. Biography Nicholson was born in Brooklyn, New York in 1918. He began his education at the University of North Carolina in Chapel Hill in 1936, where he earned a bachelor's degree in 1940 and a master's degree in 1941. From 1941 to 1943 he served as an instructor of mathematics at the Georgia Institute of Technology, and in 1944 he began teaching at UNC. In 1944 Nicholson also began a research position at Columbia University to aid the war effort during World War II. He served with distinction as an operations analyst with the United States Air Force in Saipan. In 1947 he was awarded the Medal of Freedom by the Air Force due to his contributions. In 1945 Nicholson continued with graduate studies at Columbia University before returning to UNC in 1946, after the Department of Mathematical Statistics was formed. He received his Ph.D. in 1948 and was named associate professor. Career Nicholson was named an associate professor at UNC in 1952 and was named the Chair of the Department of Statistics, a position he held for 19 years until his death in 1971. In 1956 he became a full professor. Much of Nicholson's work focused on promoting inter-institutional cooperation as well as general teaching of statistics and mathematics. From 1965 until his death, he served on the Survey Committee of the Conference Board of Mathematical Sciences. He also served on the Panel on Statistics of the Committee of the Undergraduate Program in Mathematics. Nicholson was also involved with the Cultural Exchange Program of the United States State Department, and helped found the first Department of Statistics in Japan at Nihon University. In 1965 he was awarded the Department of the Air Force Decoration for Exceptional Civilian Service for his consultancy work with the Air Force. Nicholson served as the Secretary of the Institute of Mathematical Statistics from 1955–1962, and as Executive Secretary from 1962–1967. He was a founding member of the Operations Research Society of America. Impact and influence The University of North Carolina created the "Nicholson Scholarship Fund for Operations Research", which funds support scholarship awards to graduate students in Operations Research INFORMS' "George Nicholson Student Paper Competition", which "identifies and honors outstanding papers in the field of operations research and the management sciences written by a student." References 20th-century American mathematicians Recipients of the Medal of Freedom 1918 births 1971 deaths Educators from New York City Mathematicians from New York (state) University of North Carolina at Chapel Hill alumni University of North Carolina at Chapel Hill faculty
https://en.wikipedia.org/wiki/Math%20Prize%20for%20Girls
The Advantage Testing Foundation Math Prize for Girls, often referred to as The Math Prize for Girls, is an annual mathematics competition open to female high school students from the United States and Canada. The competition offers the world’s largest single monetary math prize in a math contest for young women. In 2017, the First-Place prize was $46,000 (split equally amongst the three-way tie for first) with another $9,000 divided among the remaining finalists. Girls may win a maximum of $100,000 by participating in the competition over multiple years. Organized each year by the Advantage Testing Foundation, the competition is considered to be the preeminent female math competition for young women in North America. The single-day annual contest is open to female high-school students in 12th grade or below, from the United States and Canada who have attained a qualifying score on the American Mathematics Competitions Exams, specifically the AMC 10 or AMC 12 given in February each year. Up to 300 participants are then selected each year for the competition. Participants must complete 20 short-answer problems in geometry, algebra, trigonometry, and other math topics in 150 minutes. The exams are then reviewed by a panel of judges, who award cash prizes to the top-scoring participants. History The competition was founded in 2009 by Arun Alagappan and Dr. Ravi Boppana in an effort to inspire the next generation of female mathematicians and create a community of young women who share a passion for math. Boppana, the competition’s cofounder and Director, said in a statement that "the Math Prize was created to debunk gender stereotypes, and to support young women who see higher-level mathematics as a pursuit that is challenging, fun, and incredibly rewarding.” The first two years of the competition were held at NYU, and since 2011, the competition has been held annually at MIT in Cambridge, Massachusetts. Winners The annual first-place winners of The Math Prize for Girls are listed in the table below: The competition was not held in 2020 or 2021 due to the COVID-19 pandemic. Additionally, the Math Prize for Girls awards Youth Prize to the highest scoring student in grade 9 or below. Advisory board As of 2017, the competition's Board of Advisors has the following members: Ravi Boppana, Director of Mathematics at Advantage Testing, Inc. Ioana Dumitriu, Professor of mathematics at the University of California, San Diego Maria Klawe, President of Harvey Mudd College Richard Rusczyk, Founder of Art of Problem Solving, Inc. and Director of the USA Mathematical Talent Search Michael Sipser, Professor of Applied Mathematics and Dean of Science at MIT Gigliola Staffilani, the Abby Rockefeller Mauze Professor of Mathematics at MIT Lauren Williams, Professor of mathematics at the Harvard University Joseph Woo Melanie Wood, Professor of mathematics at the University of Wisconsin-Madison References External links Mathematics comp
https://en.wikipedia.org/wiki/List%20of%20National%20Basketball%20Association%20career%20playoff%20games%20played%20leaders
This is a list of National Basketball Association players by total career playoff games played. Statistics accurate as of the 2023 NBA playoffs. See also List of National Basketball Association career games played leaders References External links NBA & ABA Career Playoff Leaders and Records for Games at Basketball-Reference.com National Basketball Association lists National Basketball Association statistical leaders
https://en.wikipedia.org/wiki/2017%E2%80%9318%20C.S.%20Mar%C3%ADtimo%20season
This article shows C.S. Marítimo's player statistics and all matches that the club played during the 2017–18 season. Players Current squad As of 9 January 2018. Out on loan Competitions Primeira Liga League table Results by round Results summary Matches Taça de Portugal Third round Fourth round Round of 16 Taça da Liga Second Qualifying Round Group stage UEFA Europa League Third Qualifying Round Play-off Round References C.S. Marítimo seasons Marítimo Marítimo
https://en.wikipedia.org/wiki/Dhing%20College
Dhing College, established in 1965, is a general degree college situated in Dhing, Assam. This college is affiliated with the Gauhati University. Departments Science Physics Mathematics Chemistry Botany Zoology Arts and Commerce Assamese Bengali English History Education Economics Philosophy Political Science Geography Commerce References External links http://www.dhingcollege.in/index.php Universities and colleges in Assam Colleges affiliated to Gauhati University Educational institutions established in 1965 1965 establishments in Assam
https://en.wikipedia.org/wiki/Dudhnoi%20College
Dudhnoi College, established in 1972, is a general degree college situated in Dudhnoi, Assam. This college is affiliated with the Gauhati University. Departments Science Physics Mathematics Chemistry Statistics Computer Science Anthropology Botany Zoology Arts Assamese English Bodo Garo History Education Economics Philosophy Political Science Geography Commerce References External links Colleges in Assam Colleges affiliated to Gauhati University Educational institutions established in 1972 1972 establishments in Assam
https://en.wikipedia.org/wiki/Gossaigaon%20College
Gossaigaon College, established in 1971, is a general degree undergraduate, coeducational college situated at Gossaigaon, in Kokrajhar district, Assam. Departments Science Physics Mathematics Chemistry Botany Zoology Arts Assamese Bodo English Hindi History Education Economics Philosophy Political Science References External links http://www.gossaigaoncollege.org Universities and colleges in Assam Colleges affiliated to Gauhati University Educational institutions established in 1971 1971 establishments in Assam
https://en.wikipedia.org/wiki/Nick%20Kaiser
Nicholas Kaiser (15 September 1954 – 13 June 2023) was a British cosmologist. Life and career Kaiser received his Bachelor's in physics at Leeds University in 1978, and his Part III in maths at University of Cambridge in 1979. He obtained his PhD in astronomy, also at the University of Cambridge, under the supervision of Martin Rees. After postdoctoral positions at University of California, Berkeley, University of California, Santa Barbara, University of Sussex, and University of Cambridge, Kaiser was Canadian Institute for Theoretical Astrophysics Professor at the University of Toronto (1988–1997). In 1998 he moved to become Professor at the Institute for Astronomy of the University of Hawaiʻi. From 2017 to 2022 he was Professor at École Normale Supérieure in Paris. Kaiser was elected a Fellow of the Royal Society in 2008. Kaiser died of heart failure on 13 June 2023, at the age of 68. Works Kaiser made major contributions to cosmology: He made the first calculation of the polarization of the cosmic microwave background (Kaiser 1983); Explained the higher bias of cluster galaxies relative to the matter field (Kaiser 1984); Made a detailed calculation of the statistics of density peaks in the primordial Universe (Bardeen, Bond, Kaiser & Szalay 1986); Introduced the mathematics of redshift-space distortions (Kaiser 1987); Computed the cosmic halo mass function using excursion set theory (Bond, Cole, Efstathiou & Kaiser 1991); First explained the departures of galaxy cluster scaling relations from simple self-similar models (Kaiser 1991); and Performed the first inversion of shear maps from weak gravitational lensing (Kaiser & Squires 1993). Kaiser wrote articles on details of cosmological distance measures. Kaiser was the initiator and Principal Investigator of the PanSTARRS imaging survey of most of the sky. Awards and honors Kaiser won numerous awards and honors including: Ontario Fellow of the Canadian Institute for Advanced Research Cosmology Program (1988) Helen B. Warner Prize for Astronomy of the American Astronomical Society (1989) NSERC Steacie Fellowship (1991–92) Herzberg Medal of the Canadian Association of Physicists (1993) Rutherford Memorial Medal of the Royal Society of Canada (1997) Asteroid 16193 Nickaiser was named in his honor. The official was published by the Minor Planet Center on 23 May 2005 (). University of Hawaiʻi Regents Medal for Excellence in Research (2014) Gold Medal of the Royal Astronomical Society (2017) Gruber Prize in Cosmology (2019) References 1954 births 2023 deaths British cosmologists Alumni of the University of Cambridge Alumni of the University of Leeds Academic staff of the University of Toronto Institute for Astronomy (Hawaii) people Academic staff of the École Normale Supérieure Fellows of the Royal Society Recipients of the Gold Medal of the Royal Astronomical Society
https://en.wikipedia.org/wiki/Frank%20Dennie
Frank Edward Dennie (March 30, 1885 – January 13, 1952), also known as Fred Dennie, was an American college football player and coach, athletics administrator, and mathematics professor. He played college football at Brown University from 1905 to 1908 and was selected as an end on the 1908 College Football All-America Team. He also played at quarterback for Brown. Dennie served two stints the head football coach at the Missouri School of Mines and Metallurgy—now known as the Missouri University of Science and Technology—in Rolla, Missouri, from 1909 to 1911 and from 1915 to 1917, and one stint at Saint Louis University, from 1912 to 1913. Dennie was on March 30, 1885, in Concord, Massachusetts. He attended public schools in Brockton, Massachusetts, and Williston Seminary—now known as Williston Northampton School—in Easthampton, Massachusetts. Dennie served as the athletic director as Missouri Mines until 1928, when he was appointed assistant professor of mathematics at the school. He died on January 13, 1952, in Rolla. Head coaching record References External links 1885 births 1971 deaths American football ends American football quarterbacks Brown Bears football players Missouri S&T Miners athletic directors Missouri S&T Miners football coaches Missouri University of Science and Technology faculty Saint Louis Billikens football coaches Sportspeople from Brockton, Massachusetts Players of American football from Plymouth County, Massachusetts Sportspeople from Concord, Massachusetts Saint Louis University faculty Saint Louis University mathematicians Players of American football from Middlesex County, Massachusetts Coaches of American football from Massachusetts
https://en.wikipedia.org/wiki/Spread%20%28intuitionism%29
In intuitionistic mathematics, a spread is a particular kind of species of infinite sequences defined via finite decidable properties. Here a species is a collection, a notion similar to a classical set in that a species is determined by its members. History The notion of spread was first proposed by L. E. J. Brouwer (1918B), and was used to define the continuum. As his ideas were developed, the use of spreads became common in intuitionistic mathematics, especially when dealing with choice sequences and intuitionistic analysis (see Dummett 77, Troelstra 77). In the latter, real numbers are represented by the dressed spreads of natural numbers or integers. The more restricted so called fans are of particular interest in the intuitionistic foundations of mathematics. There, their main use is in the discussion of the fan theorem (which is about bars, not discussed here), itself a result used in the derivation of the uniform continuity theorem. Definitions Overview In modern terminology, a spread is an inhabited closed set of sequences. Spreads are defined via a spread function, which performs a (decidable) "check" on finite sequences. If all the finite initial parts of an infinite sequence satisfy a spread function's "check", then we say that the infinite sequence is admissible to the spread. The notion of a spread and its spread function are interchangeable in the literature. Graph theoretically, one may think of a spread in terms of a rooted, directed tree with numerical vertex labels. A fan, also known as finitary spread, is a special type of spread. In graph terms, it is finitely branching. Finally, a dressed spread is a spread together some function acting on finite sequences. Preliminary notation and terminology This article uses "" and "" to denote the beginning resp. the end of a sequence. The sequence with no elements, the so called empty sequence, is denoted by . Given an infinite sequence , we say that the finite sequence is an initial segment of if and only if and and ... and . Spread function A spread function is a function on finite sequences that satisfies the following properties: Given any finite sequence either or . In other words, the property being tested must be decidable via . . Given any finite sequence such that , there exist some such that . Given a finite sequence, if returns 0, the sequence is admissible to the spread given through , and otherwise it is inadmissible. The empty sequence is admissible and so part of every spread. Every finite sequence in the spread can be extended to another finite sequence in the spread by adding an extra element to the end of the sequence. In that way, the spread function acts as a characteristic function accepting many long finite sequences. We also say that an infinite sequence is admissible to a spread defined by spread function if and only if every initial segment of is admissible to . For example, for a predicate characterizing a law-like, unending sequence
https://en.wikipedia.org/wiki/Werner%20Romberg
Werner Romberg (born 16 May 1909 in Berlin; died 5 February 2003 in Heidelberg) was a German mathematician and physicist. Romberg studied mathematics and physics form 1928 in Heidelberg and Munich and completed his doctorate in 1933 at Munich University under the supervision of Arnold Sommerfeld; his thesis was entitled "Zur Polarisation des Kanalstrahllichtes" ["On the polarisation of channel light beams"]. In Munich he studied mathematics under, among others, Oskar Perron and Constantin Carathéodory. In 1933, as a so-called "half-Jew" in the terminology of the new National Socialist government of Germany, he sought to emigrate to the Soviet Union. From 1934 to 1937 he worked as a theoretical physicist in the University of Dnipro (then Dnipropetrovsk). In 1938 he went, via the Institute for Astrophysics in Prague, to Norway, where he became an assistant to Egil Hylleraas at the University of Oslo. He also briefly worked at the Technical University of Trondheim with Johan Holtsmark, who was building a Van de Graaff generator there. With the German occupation of Norway he fled to Uppsala in Sweden. In 1941 the Nazi German state stripped him of his German citizenship, and in 1943 recognition of his doctorate was revoked. He became a Norwegian citizen in 1947. After the Second World War, from 1949 to 1968, he was a Professor in Trondheim; from 1960 he was head of the applied mathematics department. In Norway he built up his research group in numerical analysis, and part of the introduction of digital computers, such as GIER, the first computer at Trondheim. From 1968 he held the Chair for Mathematical Methods in Natural Sciences and Numerics at Heidelberg University. See also Romberg's method References Stefanie Harrecker: Degradierte Doktoren : die Aberkennung der Doktorwürde an der Ludwig-Maximilians-Universität München während der Zeit des Nationalsozialismus, München : Utz, 2007 . Kurzbio S. 346 Claude Brezinski, Some pioneers of extrapolation methods, in Adhemar Bultheel, Ronald Cools (Hrsg.), The birth of numerical analysis, World Scientific 2010, S. 10 (Biographie) External links Obituary at the University of Heidelberg 20th-century German physicists 20th-century German mathematicians Numerical analysts Jewish emigrants from Nazi Germany to Norway 1909 births 2003 deaths Academic staff of Heidelberg University Academic staff of the Norwegian Institute of Technology
https://en.wikipedia.org/wiki/Nowgong%20Girls%27%20College
Nowgong Girls' College, established in 1962, is a general degree girl's college situated in Nowgong, Assam. This college is affiliated with the Gauhati University. Departments Science Mathematics Statistics Arts Assamese English Sanskrit History Education Economics Political Science Hindi Geography References External links Universities and colleges in Assam Colleges affiliated to Gauhati University Educational institutions established in 1962 1962 establishments in Assam
https://en.wikipedia.org/wiki/Alauddin%20Khalji%27s%20conquest%20of%20Devagiri
{ "type": "FeatureCollection", "features": [ { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Delhi" }, "geometry": { "type": "Point", "coordinates": [77.2273958, 28.661898] } }, { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Devagiri" }, "geometry": { "type": "Point", "coordinates": [75.2131507, 19.942715] } } ] } Around 1308, the Delhi Sultanate ruler Alauddin Khalji sent a large army led by his general Malik Kafur to Devagiri, the capital of the Yadava king Ramachandra. Alauddin had earlier raided Devagiri in 1296, and forced Ramachandra to pay him tribute. However, Ramachandra had discontinued these tribute payments, and had given asylum to the Vaghela king Karna, whom Alauddin had displaced from Gujarat in 1304. A section of the Delhi army, commanded by Alp Khan, invaded Karna's principality in the Yadava kingdom, and captured the Vaghela princess Devaladevi, who later married Alauddin's son Khizr Khan. Another section, commanded by Malik Kafur captured Devagiri after a weak resistance by the defenders. Ramachandra agreed to become a vassal of Alauddin, and later, aided Malik Kafur in the Sultanate's invasions of the southern kingdoms. Date There is some confusion over the date of Alauddin's second invasion of Devagiri. His courtier Amir Khusrau dates this invasion to March 1307, but describes it after the Siege of Siwana, which occurred in 1308. The 16th century writer Firishta dates the Devagiri campaign to 1306, but states that it happened in the same year as the Siege of Siwana. The near-contemporary writer Ziauddin Barani dates the invasion to 1308, which according to historian Kishori Saran Lal, appears to be correct. Causes of 1308 invasion The Yadava king Ramachandra had agreed to pay an annual tribute to Alauddin after the Alauddin's 1296 raid of the Yadava capital Devagiri. However, in the mid-1300s, he stopped sending the tribute, as Alauddin remained occupied with his campaigns in northern India. As a result, Alauddin sent a force led by his general Malik Kafur to subjugate Ramachandra. According to the 14th century chronicler Isami, the decision of not paying the tribute was that of Ramachandra's son and his associates: Ramachandra himself remained loyal to Alauddin, and even appealed the Sultan to punish his son, resulting in Malik Kafur's invasion. This seems true, because according to Amir Khusrau's Khazainul Futuh, Alauddin ordered his army not to harm Ramachandra and his family during the invasion. According to some medieval writers, another reason for this campaign was the pursuit of the Vaghela princess Devaladevi. During his 1299 invasion of Gujarat, Alauddin had captured the Vaghela queen Kamaladevi, who later was forced to marry him in Delhi. In 1304, Alauddin annexed Gujatat to the Delhi Sultanate, forcing the Vaghela king Karna to flee to the Yadava kingdom, where Ramachandra gave Karna the principality of Baglana. Accordin
https://en.wikipedia.org/wiki/Siege%20of%20Warangal%20%281310%29
{ "type": "FeatureCollection", "features": [ { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Delhi" }, "geometry": { "type": "Point", "coordinates": [77.2273958, 28.661898] } }, { "type": "Feature", "properties": { "marker-symbol": "monument", "title": "Warangal" }, "geometry": { "type": "Point", "coordinates": [79.5940544, 17.968901] } } ] } In late 1309, the Delhi Sultanate ruler Alauddin Khalji sent his general Malik Kafur on an expedition to the Kakatiya capital Warangal. Malik Kafur reached Warangal in January 1310, after conquering a fort on the Kakatiya frontier and ransacking their territory. After a month-long siege, the Kakatiya ruler Prataparudra decided to negotiate a truce, and surrendered a huge amount of wealth to send to the Delhi Sultanate, besides promising to send annual tributes to Delhi. Background In the early 13th century, the Deccan region of southern India was an immensely wealthy area, having been shielded from the foreign armies that had ransacked northern India. The Kakatiya dynasty ruled the eastern part of Deccan, with their capital at Warangal. In 1296, before Alauddin ascended the throne of Delhi, he had raided Devagiri, the capital of the Kakatiyas' neighbours Yadavas. The plunder obtained from Devagiri prompted him to plan an invasion of Warangal. After his conquest of Ranthambore in 1301, Alauddin had ordered his general Ulugh Khan to prepare for a march to Warangal, but Ulugh Khan's untimely death put an end to this plan. 1302-1303 expedition In late 1302 or in early 1303, Alauddin himself marched to Chittor, and dispatched another army to Warangal. The army headed to Warangal was led by Malik Juna (or Jauna) and Malik Chajju (or Jhujhu). Malik Juna (Senior) was the son of Ghazi Malik, and held the office of dadbek-i-hazrat. Malik Chajju was a nephew of Alauddin's late general Nusrat Khan, and the governor of Kara. This Warangal campaign of 1302-1303 ended in a disaster, as attested by multiple medieval chroniclers. By the time this army returned close to Delhi in the winter of 1303, it had suffered severe losses in terms of men and baggage, and was unable to enter Delhi to help Alauddin fight against the Mongols, who had besieged Delhi. According to the 14th century chronicler Ziauddin Barani, this Delhi army had managed to reach Warangal, but decided to return because the rainy season had started. The 16th century chronicler Firishta states that this army was ordered to reach Warangal via Bengal, even though a shorter route passed through central India. Historian Banarsi Prasad Saksena suggests that this decision might have been taken because Alauddin had not yet conquered the Malwa region in central India. However, historian Kishori Saran Lal theorizes that Alauddin wanted to conquer Bengal, which had been a part of the Delhi Sultanate under the Mamluk dynasty, but had since become independent. Firishta simply states the Delhi army returned "co
https://en.wikipedia.org/wiki/Gerald%20Goldin
Gerald Goldin is currently a distinguished professor at Rutgers University. He is part of three divisions at Rutgers University: Department of Learning and Teaching, Department of Mathematics, and Department of Physics. Education and career Goldin received his B.A. from Harvard University in 1964, graduating magna cum laude in chemistry and physics. In 1969, he received his Ph.D. in theoretical physics from Princeton University. His dissertation is titled: “Current Algebras as Unitary Representations of Groups.” It was during this time in which he also studied mathematics education at the University of Pennsylvania. By pursuing this path he found himself coordinating mathematics education at UPenn and science education at Northern Illinois University. In 1984 he became a treasured faculty member of Rutgers University. From 1985 to 1998 Goldin was the first permanent director of Rutgers’ Center for Mathematics, Science and Computer Education. Goldin had success in organizing New Jersey's Statewide Systemic Initiative, “Achieving Excellence in Mathematics, Science and Technology Education.” From 1993 to 2008 this initiative was funded by the U.S. National Science Foundation as well as the State of New Jersey. Since the end of the funding, Goldin now serves as University Director of Science and Mathematics Partnerships. In 2005 Goldin was granted the position as director and principal investigator of “MetroMath: The Center for Mathematics in America’s Cities.” Timeline of research August 1977 – June 1985: Title: Professor (Associate) (United States, DeKalb) Northern Illinois University : Department of Mathematical Sciences – Functional Analysis, Mathematics Education September 1982 – June 1983: Title: Visiting Scholar (United States, Princeton) Princeton University: Department of Physics September 2004 – June 2005: Title: Leverhulme Visiting Professor King's College London (United Kingdom, London): Department of Physics – Theoretical Physics October 1986 – July 1999: Title: Guest Professor; Alexander von Humboldt Research Awardee (Germany, Clausthal-Zellerfeld) Technische Universität Clausthal: Arnold Sommerfeld Institute for Mathematical Physics – Institute for Theoretical Physics September 1984 – present: Title: Distinguished Professor (United States, New Brunswick) Rutgers: The State University of New Jersey: Graduate School of Education – Dept of Mathematics, Dept of Physics, Mathematics Education, Center for Math, Science, & Computer Education, DIMACS Research initiatives Mathematics Education: systems of internal and external representations, affect, engagement and motivation overall inside Mathematics classrooms. Theoretical and Mathematical Physics: foundations of quantum physics, nonlinear electrodynamics, quantum mechanics, current algebra and group representations. Mathematical learning and problem solving Theoretical Physics Affiliations Member Graduate Faculty in Mathematics, Graduate Faculty in Physics, and Graduate Fa
https://en.wikipedia.org/wiki/Gabriela%20Sabatini%20career%20statistics
This is a list of the main career statistics of former professional tennis player Gabriela Sabatini. Major finals Grand Slam finals Singles: 3 (1 title, 2 runner–ups) Women's doubles: 4 (1 title, 3 runner–ups) Olympics Singles: 1 (1 silver medal) Year-end championships finals Singles: 4 (2 titles, 2 runner–ups) WTA Tour finals Singles: 55 (27 titles, 28 runner–ups) Doubles: 30 (14 titles, 16 runner–ups) Grand Slam performance timelines Singles Doubles WTA Tour career earnings Record against other top players Sabatini's win-loss record against certain players who have been ranked World No. 10 or higher is as follows: Players who have been ranked World No. 1 are in boldface. Arantxa Sánchez Vicario 12–11 Lindsay Davenport 7–3 Dominique Monami 1–0 Martina Hingis 1–1 Chris Evert 3–6 / Karina Habšudová 2–0 Mary Joe Fernández 13–10 / Helena Suková 12–6 Jennifer Capriati 11–5 Steffi Graf 11–29 Nathalie Tauziat 10–1 Zina Garrison 10–3 / Jana Novotná 10–3 Conchita Martínez 9–6 Katerina Maleeva 8–1 / Natasha Zvereva 8–1 Amanda Coetzer 7–1 / Manuela Maleeva 7–2 Pam Shriver 7–5 Kathy Rinaldi 6–0 Julie Halard-Decugis 6–1 Chanda Rubin 6–3 / Martina Navratilova 6–15 Brenda Schultz-McCarthy 5–0 Sylvia Hanika 5–1 Lori McNeil 5–2 Mary Pierce 4–1 Kimiko Date-Krumm 4–3 Anke Huber 4–3 Bettina Bunge 3–0 Jo Durie 3–0 Dianne Fromholtz 3–1 Claudia Kohde-Kilsch 3–2 // Monica Seles 3–11 Kathy Jordan 2–0 Catarina Lindqvist 2–0 Sandrine Testud 2–0 Carling Bassett-Seguso 2–1 Lisa Bonder 2–1 Kathleen Horvath 2–1 Barbara Paulus 2–1 Irina Spîrlea 2–2 / Hana Mandlíková 2–5 Tracy Austin 1–0 Ai Sugiyama 1–0 Andrea Temesvári 1–0 Wendy Turnbull 1–0 Barbara Potter 1–1 Iva Majoli 1–2 Stephanie Rehe 1–2 Bonnie Gadusek 0–1 Magdalena Maleeva 0–1 Longest winning streaks First 16–match singles winning streak (1989) Second 16–match singles winning streak (1991) See also Performance timelines for all female tennis players who reached at least one Grand Slam final Graf–Sabatini rivalry References External links Sabatini, Gabriela
https://en.wikipedia.org/wiki/Bialgebroid
In mathematics, bialgebroid may refer to Lie bialgebroid, a pair of two compatible Lie algebroids defined on dual vector bundles; here Lie algebroid is a vector bundle with a map into the tangent bundle over its base manifold and an anticommutative bracket operation on the space of sections of the vector bundle satisfying some axioms associative bialgebroid, an algebraic structure involving two algebras, the base algebra and a total algebra and a number of additional structure morphisms, generalizing associative bialgebras internal bialgebroid, a generalization of an associative bialgebroid where vector spaces are replaced by objects in a more general symmetric monoidal category
https://en.wikipedia.org/wiki/Associative%20bialgebroid
In mathematics, if is an associative algebra over some ground field k, then a left associative -bialgebroid is another associative k-algebra together with the following additional maps: an algebra map called the source map, an algebra map called the target map, so that the elements of the images of and commute in , therefore inducing an -bimodule structure on via the rule for ; an -bimodule morphism which is required to be a counital coassociative comultiplication on in the monoidal category of -bimodules with monoidal product . The corresponding counit is required to be a left character (equivalently, the map must be a left action extending the multiplication along ). Furthermore, a compatibility between the comultiplication and multiplications on and on is required. For a noncommutative , the tensor square is not an algebra, hence asking for a bialgebra-like compatibility that is a morphism of k-algebras does not make sense. Instead, one requires that has a k-subspace which contains the image of and has a well-defined multiplication induced from its preimage under the projection from the usual tensor square algebra . Then one requires that the corestriction is a homomorphism of unital algebras. If it is a homomorphism for one such , one can make a canonical choice for , namely the so called Takeuchi's product , which always inherits an associative multiplication via the projection from . Thus, it is sufficient to check if the image of is contained in the Takeuchi's product rather than to look for other . As shown by Brzeziński and Militaru, the notion of a bialgebroid is equivalent to the notion of -algebra introduced by Takeuchi earlier, in 1977. Associative bialgebroid is a generalization of a notion of k-bialgebra where a commutative ground ring k is replaced by a possibly noncommutative k-algebra . Hopf algebroids are associative bialgebroids with an additional antipode map which is an antiautomorphism of satisfying additional axioms. The term bialgebroid for this notion has been first proposed by J-H. Lu. The modifier associative is often dropped from the name, and retained mainly only when we want to distinguish it from the notion of a Lie bialgebroid, often also referred just as a bialgebroid. Associative bialgebroids come in two chiral versions, left and right. A dual notion is the notion of a bicoalgebroid. There is a generalization, an internal bialgebroid which abstracts the structure of an associative bialgebroid to the setup where the category of vector spaces is replaced by an abstract symmetric monoidal category admitting coequalizers commuting with the tensor product. References External links nLab, Associative bialgebroid, https://ncatlab.org/nlab/show/bialgebroid Stjepan Meljanac, Zoran Škoda, Martina Stojić, Lie algebra type noncommutative phase spaces are Hopf algebroids, Lett. Math. Phys. 107:3, 475–503 (2017) http://dx.doi.org/10.1007/s11005-016-0908-9 http://arxiv.org/abs/1409.8188 Bial
https://en.wikipedia.org/wiki/Internal%20bialgebroid
In mathematics, an internal bialgebroid is a structure which generalizes the notion of an associative bialgebroid to the setup where the ambient symmetric monoidal category of vector spaces is replaced by any abstract symmetric monoidal category (C, , I,s) admitting coequalizers commuting with the monoidal product . It consists of two monoids in the monoidal category (C, , I), namely the base monoid and the total monoid , and several structure morphisms involving and as first axiomatized by G. Böhm. The coequalizers are needed to introduce the tensor product of (internal) bimodules over the base monoid; this tensor product is consequently (a part of) a monoidal structure on the category of -bimodules. In the axiomatics, appears to be an -bimodule in a specific way. One of the structure maps is the comultiplication which is an -bimodule morphism and induces an internal -coring structure on . One further requires (rather involved) compatibility requirements between the comultiplication and the monoid structures on and . Some important examples are analogues of associative bialgebroids in the situations involving completed tensor products. See also Bialgebra References Bialgebras
https://en.wikipedia.org/wiki/Quantum%20groupoid
In mathematics, a quantum groupoid is any of a number of notions in noncommutative geometry analogous to the notion of groupoid. In usual geometry, the information of a groupoid can be contained in its monoidal category of representations (by a version of Tannaka–Krein duality), in its groupoid algebra or in the commutative Hopf algebroid of functions on the groupoid. Thus formalisms trying to capture quantum groupoids include certain classes of (autonomous) monoidal categories, Hopf algebroids etc. References Ross Street, Brian Day, "Quantum categories, star autonomy, and quantum groupoids", in "Galois Theory, Hopf Algebras, and Semiabelian Categories", Fields Institute Communications 43 (American Math. Soc. 2004) 187–226; Gabriella Böhm, "Hopf algebroids", (a chapter of) Handbook of algebra, Vol. 6, ed. by M. Hazewinkel, Elsevier 2009, 173–236 Jiang-Hua Lu, "Hopf algebroids and quantum groupoids", Int. J. Math. 7, n. 1 (1996) pp. 47–70, , , Algebraic structures
https://en.wikipedia.org/wiki/Wotao%20Yin
Wotao Yin is an applied mathematician and professor of Mathematics department at the University of California, Los Angeles in Los Angeles, California. He currently conducts research in optimization, parallel and distributed computing, and inverse problems. Education Wotao Yin received his PhD in operations research at Columbia University in 2006 under the supervision of Donald Goldfarb. His dissertation title was The TV-L1 Model Theory, Computation and Applications. Awards and honours In 2016, Wotao Yin was awarded the gold Morningside Gold Medal at the International Congress of Chinese Mathematicians, which is awarded to "outstanding mathematicians of Chinese descent to encourage them in their pursuit of mathematical truth". He was also awarded an NSF CAREER award in 2008, and was made an Alfred P. Sloan Fellow in 2009. References Living people 1979 births Columbia School of Engineering and Applied Science alumni Nanjing University alumni Applied mathematicians University of California, Los Angeles faculty 21st-century American mathematicians
https://en.wikipedia.org/wiki/CONCACAF%20League%20records%20and%20statistics
This page details statistics of the CONCACAF League. These statistics concern all seasons since 2017. General performances By club By nation All-time table As of 14 November 2022 Number of participations A total of 56 clubs from 15 national associations participated in the CONCACAF League. Notes By semi-final appearances Year in bold indicates team reached finals that season. Matches Biggest home wins 6 goals: 5 November 2020: Olimpia 6–0 Managua 2 August 2022: Pacific FC 6–0 Waterhouse 5 goals: 22 January 2021: Saprissa 5–0 Arcahaie 4 August 2022: Municipal 5–0 Atlético Vega Real 4 goals: 1 August 2017: Santos de Guápiles 6–2 San Juan Jabloteh 1 August 2019: Alianza 5–1 San Francisco 18 August 2021: Santos de Guápiles 5–1 Verdes Biggest away wins 6 goals: 14 September 2017: Plaza Amador 1–7 Olimpia 21 September 2021: Inter Moengotapoe 0–6 Olimpia 4 goals: 1 August 2018: Diriangén 0–4 Universitario 30 August 2018: Walter Ferretti 0–4 Tauro 28 July 2022: Atlético Vega Real 0–4 Municipal Biggest two leg wins 9 goals: 2022: Municipal 9–0 Atlético Vega Real (preliminary round) 6 goals: 2017: Olimpia 8–2 Plaza Amador (quarter-finals) 2018: Universitario 7–1 Diriangén (round of 16) 2018: Tauro 7–1 Walter Ferretti (quarter-finals) 2022: Pacific FC 6–0 Waterhouse (preliminary round) 5 goals: 2017: Santos de Guápiles 8–3 San Juan Jabloteh (round of 16) 2019: Alianza 6–1 San Francisco (preliminary round) 2021: Santos de Guápiles 6–1 Verdes (preliminary round) Decided by penalty shoot-out Final: 26 October 2017: Santos de Guápiles 1–1 agg. (1–4) Olimpia Semi-finals: 20 January 2021: Alajuelense 0–0 (5–4) Olimpia Quarter-finals: 1 December 2020: Arcahaie 1–1 (4–2) Forge FC Round of 16: 8 August 2017: Real Estelí 1–1 agg. (3–4) Águila 9 August 2017: Plaza Amador 1–1 agg. (5–4) Portmore United 8 August 2018: Walter Ferretti 1–1 agg. (4–1) Club Franciscain 9 August 2018: Portmore United 3–3 agg. (7–6) Santos de Guápiles 27 August 2019: San Carlos 0–0 agg. (4–2) Santa Tecla 29 August 2019: Herediano 2–2 agg. (6–7) Waterhouse 3 November 2020: Marathón 1–1 (4–3) Antigua GFC 4 November 2020: Alianza 1–1 (3–4) Motagua 29 September 2021: Real Estelí 2–2 (4–5) Marathón 23 August 2022: Herediano 1–1 (6–5) Pacific FC Preliminary round: 20 October 2020: FAS 1–1 (4–5) Managua 21 October 2020: Independiente 0–0 (2–4) Antigua GFC 22 October 2020: Motagua 2–2 (15–14) Comunicaciones Play-off round: 9 December 2020: Motagua 2–2 (2–4) Real Estelí Same nation encounters 2019: Comunicaciones 2–1 agg. Guastatoya (round of 16) 2020: Olimpia 2–0 Motagua (quarter-finals) 2020: Alajuelense 3–2 Saprissa (final) 2021: Marathón 0–4 Motagua (quarter-finals) 2021: Comunicaciones 3–1 agg. Guastatoya (semi-finals) 2022: Sporting San Miguelito 1–2 agg. Tauro (round of 16) 2022: Olimpia 1–0 agg. Motagua (semi-finals) Awards Golden Ball 2017: Michae
https://en.wikipedia.org/wiki/Lou%20van%20den%20Dries
Laurentius Petrus Dignus "Lou" van den Dries (born May 26, 1951) is a Dutch mathematician working in model theory. He is a professor emeritus of mathematics at the University of Illinois at Urbana–Champaign. Education Van den Dries began his undergraduate studies in 1969 at Utrecht University, and in 1978 completed his PhD there under the supervision of Dirk van Dalen with a dissertation entitled Model Theory of Fields. Career and research Van den Dries was a member of the Institute for Advanced Study in the 1982–1983 academic year. He joined the faculty of the University of Illinois at Urbana–Champaign in 1986 and became a professor in its Center for Advanced Study in 1998. In 2021, van den Dries retired and became a professor emeritus. Van den Dries is most known for his seminal work in o-minimality, but he has also made contributions to the model theory of -adic fields, valued fields, and finite fields, and to the study of transseries. With Alex Wilkie, he improved Gromov's theorem on groups of polynomial growth using nonstandard methods. Van den Dries was an invited speaker at the International Congress of Mathematicians in 1990 and 2018, and delivered the Tarski Lectures at the University of California, Berkeley in 2017. Awards and honours Van den Dries has been a corresponding member of the Royal Netherlands Academy of Arts and Sciences since 1993. He was awarded the Shoenfield Prize from the Association for Symbolic Logic in 2016 for his chapter "Lectures on the Model Theory of Valued Fields" in Model Theory in Algebra, Analysis and Arithmetic, edited by Dugald Macpherson and Carlo Toffalori. Van den Dries was jointly awarded the 2018 Karp Prize with Matthias Aschenbrenner and Joris van der Hoeven "for their work in model theory, especially on asymptotic differential algebra and the model theory of transseries". Ethics training Since 2004, employees of the state of Illinois, including University of Illinois faculty, are required by the State Officials and Employees Ethics Act to complete ethics training annually. From 2006 to 2009, van den Dries refused to complete this training, arguing that mandatory ethics training for adults is an Orwellian concept and has no place in a civil and free society. It is Big Brother reducing us to the status of children. Symptoms: monitoring of the test taking, the 'award' of a diploma for passing the test. It betrays a totalitarian urge on those in power to infantilize the rest of us. An unfortunate byproduct of the computer revolution is that it has given new tools in the hands of unwise rulers to annoy us for no good reason. Rather than go meekly along, we should vigorously protest and resist whenever demeaning schemes like ethics training rear their ugly head. Eventually, van den Dries settled with the Illinois Executive Ethics Commission, which enforces the ethics act, for a $500 fine, noting that "while many of my colleagues agree that this ethics training is a big waste of time and money, they
https://en.wikipedia.org/wiki/AMG%20Sebastiani%20Basket%20in%20international%20competitions
AMG Sebastiani Basket history and statistics in FIBA Europe and EuroLeague Basketball competitions. European competitions Record AMG Sebastiani Basket has overall, from 1974–75 (first participation) to 1982–83 (last participation): 38 wins against 20 defeats in 58 games for all the European club competitions. EuroLeague: – FIBA Saporta Cup: – FIBA Korać Cup: 38–20 (58) References Sebastiani Sport in Lazio
https://en.wikipedia.org/wiki/Lobachevsky%20integral%20formula
In mathematics, Dirichlet integrals play an important role in distribution theory. We can see the Dirichlet integral in terms of distributions. One of those is the improper integral of the sinc function over the positive real line, Lobachevsky's Dirichlet integral formula Let be a continuous function satisfying the -periodic assumption , and , for . If the integral is taken to be an improper Riemann integral, we have Lobachevsky's Dirichlet integral formula Moreover, we have the following identity as an extension of the Lobachevsky Dirichlet integral formula As an application, take . Then References Hardy, G. H., The Integral The Mathematical Gazette, Vol. 5, No. 80 (June–July 1909), pp. 98–103 Dixon, A. C., Proof That The Mathematical Gazette, Vol. 6, No. 96 (January 1912), pp. 223–224. Linear operators in calculus Schwartz distributions
https://en.wikipedia.org/wiki/Ogive%20%28statistics%29
In statistics, an ogive, also known as a cumulative frequency polygon, can refer to one of two things: any hand drawn graphic of a cumulative distribution function any empirical cumulative distribution function. The points plotted as part of an ogive are the upper class limit and the corresponding cumulative absolute frequency or cumulative relative frequency. The ogive for the normal distribution resembles one side of an Arabesque or ogival arch, which is likely the origin of its name. Creation Along the horizontal axis, the limits of the class intervals for an ogive are marked. Based on the limit values, points above each are placed with heights equal to either the absolute or relative cumulative frequency. The shape of an ogive is obtained by connecting each of the points to its neighbours with line segments. Sometimes an axis for both the absolute frequency and relative is drawn. Finding percentages Ogives, similarly to other representations of cumulative distribution functions, are useful for estimating centiles in a distribution. For example, we can know the central point so that 50% of the observations would be below this point and 50% above. To do this, we draw a line from the point of 50% on the axis of percentage until it intersects with the curve. Then we vertically project the intersection onto the horizontal axis. The last intersection gives us the desired value. The frequency polygon and ogive are used to compare two statistical sets whose number could be different. References Bibliography Dodge, Yadolah (2008). The concise Encyclopedia of Statistics. Springer. p. 395. Functions related to probability distributions
https://en.wikipedia.org/wiki/Frode%20Alfson%20Bj%C3%B8rdal
Frode Alfson Bjørdal is philosophy professor emeritus at the University of Oslo, Norway. Education Bjørdal did his undergraduate studies in philosophy, logic, mathematics and economics at the University of Bergen, Norway, and was a DAAD-Stipendiat at the Johan Wolfgang von Goethe Universität in Frankfurt am Main, Germany, in 1985/86. He studied philosophy at University of California, Santa Barbara, United States, from 1988 to 1992, and got his PhD from there in 1993. Career From 1992 to 1994 he worked at the University of Trondheim (now Norwegian University of Science and Technology), and from 1994 to 1996 at the University of Tromsø. He worked at the University of Oslo from 1996 to 2013, and is now a professor emeritus there. Some philosophical publication areas Bjørdal has published on alternative set theories, semantics for modal logics and on modal ontological arguments in the Gödelian tradition. Mathematical genealogy, and mathematical reviews Although a philosopher by training, his work earned him an entry in the Mathematics Genealogy Project. Eight of his publications are reported upon in Mathematical Reviews; he has written thirteen article appraisals there, as per the references. Selected works Understanding Gödel's Ontological Argument, in T. Childers (ed.), The Logica Yearbook 1998, FILOSOFIA, Prague, 1999, 214-217. Considerations Contra Cantorianism, in M. Pelis & V. Puncochar (eds), The Logica Yearbook 2010, pp. 43–52, College Publications 2011. Librationist Closures of the Paradoxes, in Logic and Logical Philosophy, Vol. 21, No. 4 (2012), 323–361. The Evaluation Semantics – A Short Introduction, in M. Pelis & V. Puncochar (eds), The Logica Yearbook 2011, pp. 31–36, College Publications 2012. The inadequacy of a proposed paraconsistent set theory, Review of Symbolic Logic 4 (1):106-108, 2011. The Isolation of the Definable Real Numbers with Domination and Capture in Librationist Set Theory, lecture at Third St.Petersburg Days of Logic and Computability, Russia, August 24–26, 2015. Review of Penelope Rush (ed.), The Metaphysics of Logic, Cambridge University Press, 2014, 267pp., $99.00 (hbk), in Notre Dame Philosophical Reviews Cubes and Hypercubes of Opposition, with Ethical Ruminations on Inviolability, in Logica Universalis Volume 10, Issue 2–3 (2016), pp 373–376. Elements of Librationism at arXiv:1407.3877. Skolem Satisfied - On £ and ₽. A chapter which The Iranian Association for Logic invited me to write for the book Logic Around the World, Andisheh & Farhang-e Javidan, Iran, , 2017, 31-42. All Properties are Divine or God Exists – The Sacred Thesis and its Ontological Argument, in Logic and Logical Philosophy, Vol 27, No 3 (2018), pp. 329–350. 14 Reviews for Mathematical Reviews Ranked 76th in the following ranking of notable alumni of the University of Bergen, Norway https://edurank.org/uni/university-of-bergen/alumni/ Video of invited lecture for the Faculty of Arts - Al Mustansiriyah University
https://en.wikipedia.org/wiki/David%20Wright%20%28arranger%29
David Lee Wright (born December 1, 1949) is a mathematics professor, barbershop arranger, and Associate Director of the Ambassadors of Harmony (AOH). He is a noted a cappella historian and arranger, especially in the barbershop style where in 12 of 18 years from 1999 to 2016, his arrangements resulted in chorus gold medals at the Barbershop Harmony Society (BHS) International Contest. Wright travels the world as a barbershop historian, coach, and mathematics lecturer. Early life Wright grew up in Mattoon, Illinois, and currently lives in St. Louis, Missouri. He graduated from David Lipscomb University in Nashville then earned his Ph.D. in Mathematics at Columbia University in New York. He joined the faculty of Washington University in St. Louis in 1972. He is married to Sandi Wright, Sweet Adelines International Quartet Champion of 1978 and 1986 with Tetrachords and Ambiance. Career Wright is retired from his position as a professor of Mathematics at Washington University in St. Louis, where he also served as Chair of the Mathematics Department for several years. His research of affine algebraic geometry and polynomial automorphisms has led to publications and invitations to speak at international mathematics conferences. He designed and teaches a university course in Mathematics and Music, and has directed seminars across the globe on that topic. Barbershop harmony Wright is an arranger and composer of vocal music, where his work often integrates the close harmony barbershop style with jazz, gospel, contemporary a cappella and more. He is the Associate Director of the St. Charles Ambassadors of Harmony, an award-winning male chorus of 130 singers. He was inducted into the Barbershop Harmony Society Hall of Fame in 2008. He has arranged hundreds of songs in the barbershop style, including some co-arranged with Deke Sharon, and has earned four international chorus gold medals with the Ambassadors of Harmony. As a quartet singer he has won three district championships. He has appeared on national radio and TV broadcasts, and has authored several articles on vocal harmony, as well as a textbook on mathematics and music. References 1949 births Living people American music arrangers Barbershop music 20th-century American mathematicians 21st-century American mathematicians Washington University in St. Louis faculty Washington University in St. Louis mathematicians Columbia Graduate School of Arts and Sciences alumni Lipscomb University alumni People from Mattoon, Illinois Musicians from St. Louis
https://en.wikipedia.org/wiki/Takuya%20Hashiguchi
is a Japanese football player. Career Takuya Hashiguchi joined J1 League club Kashiwa Reysol in 2017. On May 31, he debuted in J.League Cup (v Hokkaido Consadole Sapporo). Club statistics Updated to 22 February 2018. References External links Profile at Machida Zelvia Profile at Kashiwa Reysol 1994 births Living people Ryutsu Keizai University alumni Association football people from Miyazaki Prefecture Japanese men's footballers Japan Football League players J1 League players J2 League players J3 League players Kashiwa Reysol players FC Machida Zelvia players Tegevajaro Miyazaki players FC Gifu players Men's association football defenders
https://en.wikipedia.org/wiki/Toshiaki%20Miyamoto
is a Japanese football player who plays for German club SV Straelen. Career Toshiaki Miyamoto joined J1 League club Kashiwa Reysol in 2017. Club statistics Updated to end of 2018 season. References External links Profile at Kashiwa Reysol 1999 births Living people Association football people from Chiba Prefecture Japanese men's footballers Men's association football defenders Kashiwa Reysol players Montedio Yamagata players SV 19 Straelen players J1 League players J2 League players Regionalliga players Japanese expatriate men's footballers Expatriate men's footballers in Germany Japanese expatriate sportspeople in Germany
https://en.wikipedia.org/wiki/Riku%20Hirosue
is a Japanese football player. He plays for ReinMeer Aomori. Career Riku Hirosue joined J1 League club FC Tokyo in 2017. Club statistics Updated to 22 February 2020. References External links Profile at FC Tokyo 1998 births Living people Association football people from Tokyo Japanese men's footballers J1 League players J2 League players J3 League players FC Tokyo players FC Tokyo U-23 players Renofa Yamaguchi FC players FC Machida Zelvia players ReinMeer Aomori players Men's association football goalkeepers
https://en.wikipedia.org/wiki/Tsubasa%20Terayama
is a Japanese football player, currently playing as a designated special player for FC Tokyo. Career statistics Club . Notes References External links 2000 births Living people Association football people from Saitama Prefecture Juntendo University alumni Japanese men's footballers J3 League players J1 League players FC Tokyo players FC Tokyo U-23 players Men's association football midfielders
https://en.wikipedia.org/wiki/Kazuki%20Tanaka%20%28footballer%29
is a Japanese football player. He plays for Kyoto Sanga. Career Kazuki Tanaka joined J1 League club FC Tokyo in 2017. Career statistics Club . Notes References External links 2000 births Living people Association football people from Tochigi Prefecture Hosei University alumni Japanese men's footballers Men's association football forwards J3 League players FC Tokyo players FC Tokyo U-23 players Kyoto Sanga FC players
https://en.wikipedia.org/wiki/Lipe%20Veloso
Luiz Felipe Veloso Santos (born April 7, 1997), known as Lipe Veloso, is a Brazilian football player. Career Lipe Veloso joined J1 League club FC Tokyo in 2017. Club statistics Updated to 22 February 2018. References External links Profile at FC Tokyo 1997 births Living people Footballers from Ribeirão Preto Brazilian men's footballers Men's association football midfielders J1 League players J3 League players FC Tokyo players FC Tokyo U-23 players FC Lviv players FC Torpedo-BelAZ Zhodino players Riga FC players Ukrainian Premier League players Brazilian expatriate sportspeople in Japan Expatriate men's footballers in Japan Brazilian expatriate sportspeople in Ukraine Expatriate men's footballers in Ukraine Brazilian expatriate sportspeople in Belarus Expatriate men's footballers in Belarus Brazilian expatriate sportspeople in Latvia Expatriate men's footballers in Latvia
https://en.wikipedia.org/wiki/Kota%20Yamada
is a Japanese footballer who plays as a midfielder for club Kashiwa Reysol. Career Kota Yamada joined J1 League club Yokohama F. Marinos in 2017. Career statistics . References External links Profile at Yokohama F. Marinos 1999 births Living people Association football people from Kanagawa Prefecture Japanese men's footballers Japan men's youth international footballers Men's association football midfielders Yokohama F. Marinos players Nagoya Grampus players Mito HollyHock players Montedio Yamagata players Kashiwa Reysol players J1 League players J2 League players
https://en.wikipedia.org/wiki/Yuta%20Koide
is a Japanese football player. He plays for Vegalta Sendai. Club statistics Updated to 17 November 2022. References External links Profile at Ventforet Kofu 1994 births Living people Meiji University alumni Association football people from Chiba Prefecture Japanese men's footballers J1 League players J2 League players Ventforet Kofu players Oita Trinita players Men's association football defenders
https://en.wikipedia.org/wiki/Yutaka%20Soneda
is a Japanese football player who currently plays for Ehime FC. Career Yutaka Soneda joined J1 League club Ventforet Kofu in 2017. Club statistics Updated to end of 2018 season. References External links Profile at Ventforet Kofu 1994 births Living people Biwako Seikei Sport College alumni Association football people from Ehime Prefecture Japanese men's footballers J1 League players J2 League players J3 League players Ventforet Kofu players Kyoto Sanga FC players Ehime FC players Men's association football midfielders
https://en.wikipedia.org/wiki/Keita%20Irumagawa
is a Japanese football player. He plays for Ventforet Kofu. Career Keita Irumagawa joined J1 League club Ventforet Kofu in 2017. Club statistics Updated to 22 February 2018. References External links Profile at Ventforet Kofu 1999 births Living people Association football people from Yamanashi Prefecture Japanese men's footballers J2 League players J3 League players Ventforet Kofu players AC Nagano Parceiro players Men's association football defenders
https://en.wikipedia.org/wiki/Takahiro%20Iida
is a Japanese football player. He plays for Kyoto Sanga FC. Career Takahiro Iida joined J1 League club Shimizu S-Pulse in 2017. Club statistics Updated to 20 July 2022. References External links Profile at Shimizu S-Pulse 1994 births Living people Senshu University alumni Association football people from Ibaraki Prefecture People from Sakuragawa, Ibaraki Japanese men's footballers J1 League players J2 League players Shimizu S-Pulse players Kyoto Sanga FC players Men's association football defenders
https://en.wikipedia.org/wiki/Kotaro%20Fujikawa
is a Japanese football player who currently plays for Júbilo Iwata. Career Kotaro Fujikawa joined J1 League club Júbilo Iwata in 2017. Club statistics Updated to 22 February 2019. References External links Profile at Jubilo Iwata 1998 births Living people Association football people from Fukuoka Prefecture Japanese men's footballers J1 League players J2 League players J3 League players Júbilo Iwata players Roasso Kumamoto players Giravanz Kitakyushu players Men's association football midfielders
https://en.wikipedia.org/wiki/Takeaki%20Harigaya
is a Japanese football player who currently plays for Júbilo Iwata. Career Takeaki Harigaya joined J1 League club Júbilo Iwata in 2017. Club statistics Updated to 22 February 2020. References External links Profile at Júbilo Iwata 1998 births Living people Association football people from Saitama Prefecture Japanese men's footballers J1 League players J2 League players J3 League players Júbilo Iwata players Giravanz Kitakyushu players Men's association football midfielders
https://en.wikipedia.org/wiki/Hiroki%20Okui
is a Japanese football player. He plays for Gamba Osaka. Career Hiroki Okui joined J1 League club Gamba Osaka in 2017. Career statistics Reserves performance Last Updated: 9 December 2017 References External links 1999 births Living people Association football people from Osaka Prefecture Japanese men's footballers J1 League players Gamba Osaka players Men's association football defenders
https://en.wikipedia.org/wiki/Yusuke%20Kishida
is a Japanese footballer who plays as a defender for JFL club Honda FC. Career Yusuke Kishida joined J1 League club Gamba Osaka in 2017. Career statistics Reserves performance Last Updated: 9 December 2017 References External links 1999 births Living people Association football people from Nara Prefecture Japanese men's footballers J1 League players Gamba Osaka players Honda FC players Men's association football defenders
https://en.wikipedia.org/wiki/Taiga%20Nakajima
is a Japanese football player. He plays for Gamba Osaka. Career Taiga Nakajima joined J1 League club Gamba Osaka in 2017. Career statistics Reserves performance Last Updated: 9 December 2017 References External links 1999 births Living people Association football people from Osaka Prefecture Japanese men's footballers J1 League players Gamba Osaka players Men's association football defenders
https://en.wikipedia.org/wiki/Kentaro%20Wada
is a Japanese football player. He plays for Gamba Osaka. Career Kentaro Wada joined J1 League club Gamba Osaka in 2017. Career statistics Reserves performance Last Updated: 9 December 2017 References External links 1996 births Living people Kyoto Sangyo University alumni Association football people from Kyoto Prefecture Japanese men's footballers J1 League players Gamba Osaka players Men's association football forwards
https://en.wikipedia.org/wiki/Tsubasa%20Adachi
is a Japanese football player. He plays for Gamba Osaka. Career Tsubasa Adachi joined J1 League club Gamba Osaka in 2017. Career statistics Reserves performance Last Updated: 2 December 2018 References External links 2000 births Living people Association football people from Hyōgo Prefecture Japanese men's footballers J1 League players J3 League players Gamba Osaka players Gamba Osaka U-23 players Men's association football midfielders
https://en.wikipedia.org/wiki/Tetta%20Kawai
is a Japanese football player. He plays for Gamba Osaka. Career Tetta Kawai joined J1 League club Gamba Osaka in 2017. Career statistics Reserves performance Last Updated: 9 December 2017 References External links 2000 births Living people Association football people from Osaka Prefecture Japanese men's footballers J1 League players J3 League players Gamba Osaka players Gamba Osaka U-23 players Men's association football defenders
https://en.wikipedia.org/wiki/Hirofumi%20Yamauchi
is a Japanese football player. He plays for FC Gifu. Career Hirofumi Yamauchi joined J1 League club Cerezo Osaka in 2017. Club statistics Updated to 22 February 2018. References External links Profile at Cerezo Osaka 1995 births Living people Waseda University alumni Association football people from Saitama Prefecture Japanese men's footballers J1 League players J2 League players J3 League players Cerezo Osaka players Cerezo Osaka U-23 players FC Machida Zelvia players Montedio Yamagata players FC Gifu players Men's association football midfielders
https://en.wikipedia.org/wiki/Shu%20Mogi
is a Japanese footballer who plays for FC Imabari, on loan from Cerezo Osaka. Career Shu Mogi joined J1 League club Cerezo Osaka in 2017. Career statistics Updated to 22 February 2018 References External links Profile at Cerezo Osaka 1999 births Living people Association football people from Kanagawa Prefecture Japanese men's footballers Men's association football goalkeepers Cerezo Osaka players FC Machida Zelvia players Mito HollyHock players J1 League players J2 League players J3 League players Japan men's under-20 international footballers
https://en.wikipedia.org/wiki/Hinata%20Kida
is a Japanese professional footballer who plays as a defensive midfielder for J2 League club Cerezo Osaka. Career Hinata Kida joined J1 League club Cerezo Osaka in 2017. Career statistics References External links Profile at Cerezo Osaka 2000 births Living people Association football people from Osaka Prefecture Japanese men's footballers Japan men's youth international footballers Men's association football midfielders Cerezo Osaka players Cerezo Osaka U-23 players Avispa Fukuoka players J1 League players J2 League players J3 League players Japan men's under-20 international footballers
https://en.wikipedia.org/wiki/Takuya%20Yasui
is a Japanese football player. He plays for Machida Zelvia. Career Takuya Yasui joined J1 League club Vissel Kobe in 2017. Club statistics Updated to 23 October 2022. Honours Vissel Kobe Emperor's Cup: 2019 Japanese Super Cup: 2020 References External links Profile at Vissel Kobe Profile at J. League 1998 births Living people Association football people from Hyōgo Prefecture Japanese men's footballers J1 League players Vissel Kobe players J2 League players FC Machida Zelvia players Men's association football midfielders
https://en.wikipedia.org/wiki/Ryo%20Toyama
is a Japanese football player. He plays for Matsumoto Yamaga. Career Ryo Toyama joined J2 League club Mito HollyHock in 2017. Club statistics Updated to end of 2020 season. References External links Profile at Mito HollyHock Profile at Akita 1994 births Living people Hannan University alumni People from Kiyose, Tokyo Association football people from Tokyo Metropolis Japanese men's footballers J2 League players Mito HollyHock players Blaublitz Akita players Men's association football midfielders
https://en.wikipedia.org/wiki/Daiki%20Deoka
is a Japanese football player. He plays for Fujieda MYFC. Career Daiki Deoka joined J2 League club Thespakusatsu Gunma in 2017. Club statistics Updated to 22 February 2019. References External links Profile at Thespakusatsu Gunma 1994 births Living people Kwansei Gakuin University alumni Association football people from Osaka Prefecture Japanese men's footballers J2 League players J3 League players Thespakusatsu Gunma players Fujieda MYFC players Men's association football midfielders
https://en.wikipedia.org/wiki/Yuki%20Okaniwa
is a Japanese football player. He plays for Tochigi City FC. Career Yuki Okaniwa joined J2 League club Thespakusatsu Gunma in 2017. Club statistics Updated to 22 February 2020. References External links Profile at Thespakusatsu Gunma 1995 births Living people Tokyo University of Agriculture alumni Association football people from Tokyo Japanese men's footballers J2 League players J3 League players Thespakusatsu Gunma players Tokyo United FC players Men's association football midfielders
https://en.wikipedia.org/wiki/Issei%20Takahashi%20%28footballer%29
is a Japanese football player who currently plays for JEF United Chiba. Career Issei Takahashi joined J2 League club JEF United Chiba in 2017. Club statistics Updated to 7 January 2019. References External links Profile at Renofa Yamaguchi Profile at JEF United Chiba 1998 births Living people Association football people from Aomori Prefecture Japanese men's footballers J2 League players JEF United Chiba players Renofa Yamaguchi FC players Montedio Yamagata players Men's association football midfielders
https://en.wikipedia.org/wiki/Shogo%20Hayashi
is a Japanese football player. He plays for Tokyo Verdy. Career Shogo Hayashi joined J2 League club Tokyo Verdy in 2016. He left the club at the end of 2018. Club statistics Updated to 22 February 2019. References External links Profile at Tokyo Verdy 1997 births Living people Association football people from Tokyo Japanese men's footballers J2 League players Tokyo Verdy players Men's association football defenders
https://en.wikipedia.org/wiki/1949%E2%80%9350%20Sheffield%20Shield%20season
The 1949–50 Sheffield Shield season was the 48th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship. Table Statistics Most Runs Allan McLean 660 Most Wickets Jack Iverson 46 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1950%E2%80%9351%20Sheffield%20Shield%20season
The 1950–51 Sheffield Shield season was the 49th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. Victoria won the championship. Table Statistics Most Runs Lindsay Hassett 770 Most Wickets Colin McCool 46 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/1951%E2%80%9352%20Sheffield%20Shield%20season
The 1951–52 Sheffield Shield season was the 50th season of the Sheffield Shield, the domestic first-class cricket competition of Australia. New South Wales won the championship. Table Statistics Most Runs Phil Ridings 533 Most Wickets Geff Noblet 39 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/Kosuke%20Saito%20%28footballer%29
is a Japanese football player. He plays for Tokyo Verdy . Career Kosuke Saito joined J2 League club Yokohama FC in 2016. Club statistics Updated to 1 March 2019. References External links Profile at Yokohama FC 1997 births Living people Association football people from Kanagawa Prefecture Japanese men's footballers J1 League players J2 League players Yokohama FC players Men's association football forwards
https://en.wikipedia.org/wiki/1952%E2%80%9353%20Sheffield%20Shield%20season
The 1952–53 Sheffield Shield season was the 51st season of the Sheffield Shield, the domestic first-class cricket competition of Australia. South Australia won the championship. Table Statistics Most Runs Ken Mackay 443 Most Wickets Geff Noblet 41 References Sheffield Shield Sheffield Shield Sheffield Shield seasons
https://en.wikipedia.org/wiki/Yoshiki%20Oka
is a Japanese football player. He plays for Vanraure Hachinohe. Career Yoshiki Oka joined J2 League club Matsumoto Yamaga FC in 2017. Club statistics Updated to 22 February 2020. References External links Profile at Azul Claro Numazu 1994 births Living people Momoyama Gakuin University alumni Association football people from Osaka Prefecture Japanese men's footballers J2 League players J3 League players Matsumoto Yamaga FC players Azul Claro Numazu players AC Nagano Parceiro players Vanraure Hachinohe players Men's association football forwards
https://en.wikipedia.org/wiki/Yosuke%20Akiyama
is a Japanese football player. He plays for Vegalta Sendai. Career Yosuke Akiyama joined J2 League club Nagoya Grampus in 2017. Club statistics Updated to 9 December 2022. References External links Profile at Nagoya Grampus 1995 births Living people Waseda University alumni Association football people from Chiba Prefecture Japanese men's footballers J1 League players J2 League players Nagoya Grampus players Júbilo Iwata players Vegalta Sendai players JEF United Chiba players Men's association football midfielders
https://en.wikipedia.org/wiki/Yuki%20Omoto
is a Japanese football player who currently plays for Roasso Kumamoto. Career Yuki Omoto joined J2 League club FC Gifu in 2017. Club statistics Updated to 22 February 2019. References External links Profile at Tokushima Vortis 1994 births Living people Hannan University alumni Association football people from Shiga Prefecture Japanese men's footballers J1 League players J2 League players FC Gifu players Tokushima Vortis players V-Varen Nagasaki players Albirex Niigata players FC Ryukyu players Men's association football defenders
https://en.wikipedia.org/wiki/Yohei%20Ono
is a Japanese football player. He plays for Kataller Toyama. Career Yohei Ono joined J2 League club Kyoto Sanga FC in 2017. Club statistics Updated to end of 2018 season. References External links Profile at Kyoto Sanga 1994 births Living people Tokoha University alumni Association football people from Tokyo Japanese men's footballers J2 League players J3 League players Kyoto Sanga FC players Kataller Toyama players Men's association football forwards
https://en.wikipedia.org/wiki/Shogo%20Asada
is a Japanese football player. He plays for Kyoto Sanga FC. Career Shogo Asada joined J2 League club Kyoto Sanga FC in 2017. Club statistics Updated to 20 July 2022. References External links Profile at Kamatamare Sanuki 1998 births Living people Association football people from Nagano Prefecture Japanese men's footballers J1 League players J2 League players J3 League players Kyoto Sanga FC players Kamatamare Sanuki players Men's association football defenders
https://en.wikipedia.org/wiki/Koki%20Tsukagawa
is a Japanese professional footballer who plays as a midfielder for J1 League club FC Tokyo. Career Koki Tsukagawa joined J2 League club Fagiano Okayama in 2017. Club statistics Updated to 22 July 2022. Honours Club J1 League: 2021 Japanese Super Cup: 2021 References External links 1994 births Living people Ryutsu Keizai University alumni Association football people from Hiroshima Prefecture Japanese men's footballers J1 League players J2 League players Fagiano Okayama players Matsumoto Yamaga FC players FC Gifu players Kawasaki Frontale players FC Tokyo players Men's association football midfielders
https://en.wikipedia.org/wiki/Joji%20Ikegami
is a Japanese football player. He plays for Renofa Yamaguchi. Career Joji Ikegami joined J2 League club Renofa Yamaguchi in 2017. Club statistics Updated to end of 2018 season. References External links Profile at Renofa Yamaguchi 1994 births Living people Osaka University of Health and Sport Sciences alumni Association football people from Kumamoto Prefecture Japanese men's footballers J2 League players Renofa Yamaguchi FC players Men's association football midfielders
https://en.wikipedia.org/wiki/Takeru%20Kiyonaga
is a Japanese football player. He plays for Renofa Yamaguchi FC. Career Takeru Kiyonaga joined J2 League club Renofa Yamaguchi FC in 2017. Club statistics Updated to 22 February 2018. References External links Profile at Renofa Yamaguchi 1994 births Living people Kansai University alumni Association football people from Yamaguchi Prefecture Japanese men's footballers J2 League players Renofa Yamaguchi FC players Men's association football midfielders
https://en.wikipedia.org/wiki/Chie%20Edoojon%20Kawakami
is a Japanese footballer who plays as a midfielder for Thespakusatsu Gunma. Career Chie Edoojon Kawakami joined J2 League club Tokushima Vortis in 2017. Club statistics Updated to 22 February 2019. References External links Profile at Kataller Toyama 1998 births Living people Association football people from Saitama Prefecture Japanese men's footballers Japanese people of Nigerian descent Sportspeople of Nigerian descent J2 League players J3 League players Tokushima Vortis players Kataller Toyama players SC Sagamihara players Men's association football midfielders
https://en.wikipedia.org/wiki/Hiroki%20Mawatari
is a Japanese footballer who plays as a goalkeeper for club Shonan Bellmare. Career Hiroki Mawatari joined J2 League club Ehime FC in 2017. Club statistics . References External links Profile at Ehime FC 1994 births Living people National Institute of Fitness and Sports in Kanoya alumni Association football people from Fukuoka Prefecture Japanese men's footballers J1 League players J2 League players Ehime FC players Kawasaki Frontale players Fagiano Okayama players Shonan Bellmare players Men's association football goalkeepers
https://en.wikipedia.org/wiki/Park%20Seong-su
Park Seong-su (박성수 | born May 12, 1996) is a South Korean football player. He plays for FC Anyang. Career Park Seong-su joined J2 League club Ehime FC in 2015. Club statistics Updated to 1 January 2020. References External links 1996 births Living people South Korean men's footballers South Korean expatriate men's footballers J2 League players J3 League players Ehime FC players FC Gifu players Daegu FC players Men's association football goalkeepers South Korean expatriate sportspeople in Japan Expatriate men's footballers in Japan
https://en.wikipedia.org/wiki/Hijiri%20Onaga
is a Japanese football player. He plays for FC Machida Zelvia. Career Hijiri Onaga joined J2 League club V-Varen Nagasaki in 2017. After three seasons, he joined Omiya Ardija. Club statistics Updated to 1 January 2020. References External links Profile at V-Varen Nagasaki 1995 births Living people Chuo University alumni Association football people from Hyōgo Prefecture Japanese men's footballers J1 League players J2 League players V-Varen Nagasaki players Omiya Ardija players FC Machida Zelvia players Men's association football midfielders
https://en.wikipedia.org/wiki/Shota%20Hayashi
is a Japanese football player. He plays for Arterivo Wakayama. Career Shota Hayashi joined J2 League club Roasso Kumamoto in 2017. Club statistics Updated to 22 February 2018. References External links Profile at Roasso Kumamoto 1995 births Living people Kokushikan University alumni Association football people from Kyoto Prefecture Japanese men's footballers J2 League players Roasso Kumamoto players Arterivo Wakayama players Men's association football forwards
https://en.wikipedia.org/wiki/Shintaro%20Kokubu
is a Japanese football player. He plays for Montedio Yamagata. Career Shintaro Kokubu joined J2 League club Oita Trinita in 2017. Club statistics Updated to 28 July 2022. References External links Profile at Oita Trinita 1994 births Living people Ritsumeikan University alumni Association football people from Okayama Prefecture Japanese men's footballers J2 League players J3 League players Oita Trinita players Giravanz Kitakyushu players Men's association football midfielders
https://en.wikipedia.org/wiki/Jacob%20Johnston
Jacob Johnston (born May 23, 1988) is a former Canadian professional ice hockey defenseman. He last played for, and captained, the Odense Bulldogs in the Metal Ligaen. Career statistics Regular season and playoffs References External links 1988 births Living people Canadian ice hockey defencemen Ice hockey people from Greater Sudbury Utah Grizzlies (ECHL) players Edinburgh Capitals players Odense Bulldogs players Cornell Big Red men's ice hockey players Camrose Kodiaks players Dalhousie University alumni Texas Stars players Evansville IceMen players Greenville Road Warriors players
https://en.wikipedia.org/wiki/Sloane%20Stephens%20career%20statistics
This is a list of the main career statistics of professional American tennis player Sloane Stephens. She was the women's singles champion at the 2017 US Open and runner-up at the 2018 French Open and 2018 WTA Finals. Performance timelines Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup, Hopman Cup, United Cup and Olympic Games are included in win–loss records. Singles Current through the 2023 US Open. Doubles Significant finals Grand Slam tournaments Singles: 2 (1 title, 1 runner-up) WTA Championships Singles: 1 (runner-up) WTA 1000 tournaments Singles: 2 (1 title, 1 runner-up) WTA career finals Singles: 10 (7 titles, 3 runner-ups) Doubles: 1 (runner-up) National representation Fed Cup participation Current through the 2020 Fed Cup qualifying round. Singles: 12 (7–5) Doubles: 2 (1–1) Olympic Games Singles: 1 (0–1) WTA Challenger finals Singles: 1 (title) ITF Circuit finals Singles: 2 (1 title, 1 runner–up) Junior career Grand Slam finals Doubles: 4 (3 titles, 1 runner-up) WTA Tour career earnings As of 15 November 2021 Career Grand Slam statistics Seedings The tournaments won by Stephens are in boldface, and advanced into finals by Stephens are in italics. Best Grand Slam results details Head-to-head records Record against top 10 players Stephens's record against players who have been ranked in the top 10. Active players are in boldface. Top 10 wins Longest winning streaks 8–match singles winning streak (2018) Notes References External links Tennis career statistics
https://en.wikipedia.org/wiki/Kohei%20Imazeki
is a Japanese football player. He plays for Grulla Morioka. Career Kohei Imazeki joined J3 League club Grulla Morioka in 2017. Club statistics Updated to 22 February 2018. References External links Profile at Grulla Morioka 1994 births Living people Toin University of Yokohama alumni Association football people from Chiba Prefecture Japanese men's footballers J3 League players Iwate Grulla Morioka players Men's association football forwards
https://en.wikipedia.org/wiki/Gaku%20Sugamoto
is a Japanese football player. He plays for Matsue City FC. Career Gaku Sugamoto joined J3 League club Grulla Morioka in 2017. Club statistics Updated to 22 February 2020. References External links Profile at Grulla Morioka 1994 births Living people Rikkyo University alumni Japanese men's footballers J3 League players Japan Football League players Iwate Grulla Morioka players FC Kagura Shimane players Men's association football midfielders Association football people from Kawasaki, Kanagawa
https://en.wikipedia.org/wiki/Kaito%20Chida
is a Japanese football player. He plays for Blaublitz Akita. Career Kaito Chida joined J3 League club Blaublitz Akita in 2017. Club statistics Updated to 1 December 2022. Honours Blaublitz Akita J3 League (2): 2017, 2020 Individual Milk Soccer Academy Data Awards 2020 J3 Best Defender References External links Profile at Blaublitz Akita Profile at Kanagawa University 1994 births Living people Kanagawa University alumni Association football people from Miyagi Prefecture Japanese men's footballers J3 League players Blaublitz Akita players Men's association football defenders
https://en.wikipedia.org/wiki/Ginji%20Aki
is a Japanese football player. He played for COEDO KAWAGOE F.C. Career Ginji Aki joined J3 League club Blaublitz Akita in 2017. Club statistics Updated to 8 December 2019. Honours Blaublitz Akita J3 League (1): 2017 References External links 1994 births Living people Men's association football forwards Association football people from Chiba Prefecture Blaublitz Akita players Crumlin United F.C. players Expatriate men's association footballers in the Republic of Ireland Japanese expatriate sportspeople in Ireland Japanese men's footballers Japanese expatriate men's footballers Japan Football League players ReinMeer Aomori players Ryutsu Keizai University alumni J3 League players