Split (1)

train · 40.2k rows

source stringlengths 31 168	text stringlengths 51 3k
https://en.wikipedia.org/wiki/Alaa%20A.%20Abdel%20Bary	Alaa A. Abdel Bary is an Egyptian professor of mathematics at the Department of Basic & Applied Science Department, in the College of Engineering & Technology, at the Arab Academy for Science, Technology, & Maritime Transport, Alexandria, Egypt. He is the Vice President for Postgraduates Studies and Scientific Research, a former vice president for Student Affairs and a former Dean of Student Affairs of the institution. Education Alaa A. Abdel Bary obtained his B.Sc. in Applied Mathematics with an excellent grade from Alexandria University, Egypt in May, 1988. In 1995, he obtained his M.Sc. in computational mathematics from the same institution. For his PhD, he moved to Zagazig University and graduated in 1998 from the field of Applied Mathematics. Career Alaa A Abdel Bary started his career in College of Engineering and Technology Arab Academy for Science, technology, & Maritime Transport in Egypt and continue till he become a professor. In 1989, he was an assistant lecturer. Three years (after his M.Sc.,) he became a lecturer of mathematics and in 2003, he became an assistant professor of mathematics. From 2007 to 2011, he was the Head of Basic and Applied Science Department and in 2007, he became a professor of mathematics. References Living people 21st-century Egyptian mathematicians Year of birth missing (living people)
https://en.wikipedia.org/wiki/Alfaisal%20A.%20Hasan	Alfaisal A. Hasan is an Egyptian professor of Engineering Mathematics at the Department of Basic & Applied Science in the College of Engineering and Technology Arab Academy for Science, Technology and Maritime Transport – Ganoub Alwadi Branch (AASTMT). He is the Dean of Admission and Registration, the Vice Dean of Educational Affairs and the Head of Basic and Applied sciences Department of the same institution. Education Alfaisal A. Hasan obtained his B.Sc. Civil engineering at Minia University in 1999. He moved to Cairo University for his M.Sc. and graduated in 2006 with M.Sc. Engineering Mathematics. He moved to Ain Shams University where he graduated in 2009 with the latter course. Career In 2010, he became an assistant Professor at Basic and Applied Sciences Department Arab Academy for Science and Technology and Maritime Transport-Ganoub Alwadi Branch (AASTMT). In 2014, he became an associate professor and in the same year, he was appointed as the Vice Director for Administrative Affairs of the institution. In 2016, he was appointed as the Vice Dean of Educational Affairs. In 2017, he became a professor of Engineering Mathematics and he was appointed as the Dean of Admission and Registration of the institution Awards In 2011, he received the AASTMT outstanding scientific research award for distinguished publications in international and highly recognized periodicals and he also received the award from 2012 to 2016. In 2019, he received Professor Dr Attia Ashor Award in Mathematics given by Academy of Scientific Research, Egypt. In 2019, he was awarded Professor Dr Amin Lofty Award in Mathematics given by the same society and in the same year, he also received The Minister of Interior Excellence award for First Place Best Consultant and Expert Memberships He is a member of Egyptian Engineering Syndicate since 1999, International Egyptian Engineering Mathematical Society (IEEMS), International Association of Engineers (IAENG), World Academy of Science, Engineering and Technology (WASET), The Egyptian Mathematical Society (EMS), IAENG Society of Bioinformatics, IAENG Society of Electrical Engineering and IAENG Society of Mechanical Engineering. He is also a member and editor of European Journal of Biophysics and a Reviewer of Applied Mathematical Modelling (Elsevier), International Journal of Applied Mathematics and Mechanics (IJAMM), British Journal of Mathematics & Computer Science, Journal of Mathematical Research and Applications (JMRA), Journal of Advanced Research in Applied Mathematics (JARAM), European Journal of Environmental and Civil Engineering, and Journal of Hydrodynamics, Ser. B (Elsevier) and Bulgarian Chemical Communications. References 21st-century Egyptian mathematicians Living people Year of birth missing (living people)
https://en.wikipedia.org/wiki/William%20Spence%20%28mathematician%29	William Spence (born 31 July 1777 in Greenock, Scotland – died 22 May 1815 in Glasgow, Scotland) was a Scottish mathematician who published works on the fields of logarithmic functions, algebraic equations and their relation to integral and differential calculus respectively. Early life, family, and personal life Spence was the second son to Ninian Spence and his wife Sarah Townsend. Ninian Spence ran a coppersmith business, and the Spence family were a prominent family in Greenock at the time. From an early age, Spence was characterised as having a docile and reasonable nature, with him being mature for his age. At school he formed a life-long friendship with John Galt, who documented much of his life and his works posthumously. Despite having received a formal education until he was a teenager, Spence never attended university, instead he moved to Glasgow where he lodged with a friend of his fathers, learning the skills of a manufacturer. Two years after his father's death in 1795, Spence returned to Greenock in 1797. With the support of Galt and others, he established a small literary society, wherein once a month they read a range of essays on varying subjects, this society met frequently until 1804. After this, Spence visited many places in England, he lived in London for a few months where, in 1809, he published his first work. In 1814, he published his second work, getting married in the same year – Spence intended to live in London, and began his journey back before becoming ill, having travelled as far as Glasgow, he died in his sleep due to illness. Spence held an interest in musical composition, and played the flute. Published works Spence published An Essay on the Theory of the Various Orders of Logarithmic Transcendents: With an Inquiry Into Their Applications to the Integral Calculus and the Summation of Series in 1809. Throughout his work, he displayed a familiarity with the work of Lagrange and Arbogast, which is notable since at the time very few were familiar with their works. In his preface he derived the binomial theorem and mainly focused on the properties and analytic applications of the series: which he denoted with . He went on further to derive nine general properties of this function in a table. Spence also wrote on presenting analytical mathematics without the need of demonstrating the practical applications of such work. Spence continues to write that the functions can be expressed as iterations of the previous n term: , , . . . , for all values of x. Spence goes on to calculate the values of: to nine decimal places, in a table, for all integer values of from 1 to 100, the first ever of its kind. These functions became known as the polylogarithm functions, with this particular case often called Spence's function after Spence. Later on he also created a similar table for . Spence published his last work, Outlines of a theory of Algebraical Equations, deduced from the principles of Harriott, and exten
https://en.wikipedia.org/wiki/Kaohsiung%20Aquas%20all-time%20roster	The following is a list of players, both past and current, who appeared at least in one game for the Kaohsiung Aquas (2021–present) franchise. Players Note: Statistics are correct through the end of the 2022–23 T1 League season. A B C G H J K L S T W Y References T1 League all-time rosters
https://en.wikipedia.org/wiki/New%20Taipei%20CTBC%20DEA%20all-time%20roster	The following is a list of players, both past and current, who appeared at least in one game for the New Taipei CTBC DEA (2021–present) franchise. Players Note: Statistics are correct through the end of the 2022–23 T1 League season. A B C E G H I J K L M S T W Z References T1 League all-time rosters
https://en.wikipedia.org/wiki/TaiwanBeer%20HeroBears%20all-time%20roster	The following is a list of players who appeared at least in one game for the TaiwanBeer HeroBears (2021–2023) franchise. Players Note: Statistics are correct through the end of the 2022–23 T1 League season. C D E F G H I J L M Q S T V W Y References T1 League all-time rosters
https://en.wikipedia.org/wiki/Tainan%20TSG%20GhostHawks%20all-time%20roster	The following is a list of players, both past and current, who appeared at least in one game for the Tainan TSG GhostHawks (2021–present) franchise. Players Note: Statistics are correct through the end of the 2022–23 T1 League season. A B C D F G H K L P R S T U W References T1 League all-time rosters
https://en.wikipedia.org/wiki/Elsayed%20M.%20Abo-Dahab	El-Sayed Mohamed Abo-Dahab Khedary is an Egyptian Applied Mathematics professor at the Mathematics Department, Faculty of Science, South Valley University, Qena in Egypt. He is a part of the editorial board of Applied and computational Mathematics and also one of the editors of Arabian Journal of Science. Early life and education Elsayed M. Abo-Dahab was born in Egypt at Sohag- El-maragha-Ezbet to the tribe of Bani-Helal in 1973. In 1995, he obtained his B.Sc. (Ed) in Mathematics from South Valley University and bagged another degree in Pure mathematics from the same Institution in 1997. In 2001, he received his master's degree in Applied Mathematics and obtained his doctorate degree in 2005 from Assuit University in 2005. Career In 2006, he became a lecturer of mathematics at the faculty of science South Valley University. In 2012, he moved to Taif University, KSA where he became an associate professor. In 2017, he returned to South Valley University where he became a professor of Applied Mathematics. Memberships He is a member of the Egyptian Mathematical Society and Member of the editorial board of Journal of Modern Methods in Numerical Mathematics. References Living people 1973 births 21st-century Egyptian mathematicians Egyptian academics
https://en.wikipedia.org/wiki/Manuel%20Gonz%C3%A1lez%20%28motorcyclist%29	Manuel González Simón (born 4 August 2002) is a Spanish Grand Prix motorcycle racer competing in the Moto2 World Championship for the Yamaha VR46 Master Camp Team. Career statistics Red Bull MotoGP Rookies Cup Races by year (key) (Races in bold indicate pole position; races in italics indicate fastest lap) FIM CEV Moto3 Junior World Championship Races by year (key) (Races in bold indicate pole position, races in italics indicate fastest lap) European Talent Cup Races by year (key) (Races in bold indicate pole position, races in italics indicate fastest lap) Supersport 300 World Championship Races by year (key) (Races in bold indicate pole position; races in italics indicate fastest lap) Grand Prix motorcycle racing By season By class Races by year (key) (Races in bold indicate pole position; races in italics indicate fastest lap) Half points awarded as less than half of the race distance (but at least three full laps) was completed. Season still in progress. References External links 2002 births Living people Spanish motorcycle racers Supersport 300 World Championship riders Moto2 World Championship riders
https://en.wikipedia.org/wiki/Sohail%20Nadeem	Sohail Nadeem is a Pakistani Professor of Applied Mathematics and Chairman of Mathematics Department at Quaid-i-Azam University. He is Young a Fellow of the world Academy of sciences and an elected Fellow of Pakistan Academy of Sciences. He is a recipient of the 2022 Obada Prize Award. Early life and education Sohail Nadeem was born on 15 March 1975. He attended Quaid-i-Azam University, Islamabad, Pakistan from his first degree to the PhD level. He obtained his M. Sc, M.phil and PhD in 1998, 2000 and 2004 in Applied Mathematics. Career In 2000, he was appointed as a Senior research assistant at the department of Mathematics at the Quaid-i-Azam University Islamabad. In 2002, he became a lecturer at COMSATS Institute of Information Technology Abbottabad. In 2003, he became an assistant Professor the same institution. In 2005, he moved to Quaid-i-Azam University Islamabad also as an Associate Professor and in 2011, he became an associate professor and eventually become a professor in 2015. Awards and memberships In 2011, he received the Young fellow World Academy of Sciences Award by the third world Academy of Sciences, Italy. In 2012, he was elected as a member of Pakistan Academy of Sciences. In the same year, he received the Salam prize for Mathematics by the same institution. Additionally, He received the Productive scientist Awards by PCST for the years 2012-2013 in A category and in 2016 he was awarded Pakistan Academy of Sciences gold medal in Mathematics and he was eventually elected in as a member in 2019. In 2022, he won the Obada Prize award. References Scientists from Islamabad 21st-century Pakistani scientists 21st-century Pakistani mathematicians Academic staff of Quaid-i-Azam University TWAS fellows 1975 births Living people
https://en.wikipedia.org/wiki/Convex%20cap	A convex cap, also known as a convex floating body or just floating body, is a well defined structure in mathematics commonly used in convex analysis for approximating convex shapes. In general it can be thought of as the intersection of a convex Polytope with a half-space. Definition A cap, can be defined as the intersection of a half-space with a convex set . Note that the cap can be defined in any dimensional space. Given a , can be defined as the cap containing corresponding to a half-space parallel to with width times greater than that of the original. The definition of a cap can also be extended to define a cap of a point where the cap can be defined as the intersection of a convex set with a half-space containing . The minimal cap of a point is a cap of with . Floating Bodies and Caps We can define the floating body of a convex shape using the following process. Note the floating body is also convex. In the case of a 2-dimensional convex compact shape , given some where is small. The floating body of this 2-dimensional shape is given by removing all the 2 dimensional caps of area from the original body. The resulting shape will be our convex floating body . We generalize this definition to n dimensions by starting with an n dimensional convex shape and removing caps in the corresponding dimension. Relation to affine surface area As , the floating body more closely approximates . This information can tell us about the affine surface area of which measures how the boundary behaves in this situation. If we take the convex floating body of a shape, we notice that the distance from the boundary of the floating body to the boundary of the convex shape is related to the convex shape's curvature. Specifically, convex shapes with higher curvature have a higher distance between the two boundaries. Taking a look at the difference in the areas of the original body and the floating body as . Using the relation between curvature and distance, we can deduce that is also dependent on the curvature. Thus, . In this formula, is the curvature of at and is the length of the curve. We can generalize distance, area and volume for n dimensions using the Hausdorff measure. This definition, then works for all . As well, the power of is related to the inverse of where is the number of dimensions. So, the affine surface area for an n-dimensional convex shape is where is the -dimensional Hausdorff measure. Wet part of a convex body The wet part of a convex body can be defined as where is any real number describing the maximum volume of the wet part and . We can see that using a non-degenerate linear transformation (one whose matrix is invertible) preserves any properties of . So, we can say that is equivariant under these types of transformations. Using this notation, . Note that is also equivariant under non-degenerate linear transformations. Caps for approximation Assume and choose randomly, independently and ac
https://en.wikipedia.org/wiki/Patrick%20Brendan%20Kennedy	Patrick Brendan Kennedy (20 July 1929 in Clarecastle, County Clare, Ireland - 8 June 1966 in Nottingham, England) was an Irish chess champion, and an academic in Mathematics, notable for his work in complex analysis. Early life, family, and personal life Kennedy was the third child of Pat Kennedy and Kit O'Sullivan, his father, a master carpenter by trade, decided instead to join the police force in 1923, many on his mother's side were blacksmiths near Castlemaine. His parents moved to Ballylongford in 1936, and secured a transfer for Kennedy to attend the North Monastery secondary school in Cork. Whilst at the North Monastery School, Kennedy won the Honan Scholarship to University College Cork, where in 1949 was awarded his Bachelor's degree in Mathematics and Mathematical Physics. In the same year, Kennedy also took part in the Irish Chess Championship, and won 7 games out of 7, becoming the Irish chess Champion, he has been the only Irish Chess champion to win in such a way. After this, Kennedy was described as having a falling off in the quality of his play, and lost his title at the 1950 Championship. In 1951, Kennedy completed his Master's degree, and was recommended by his examiner V. C. A. Ferraro, who at the time was a professor of applied mathematics at the University College of the South West at Exeter, to study for a Ph.D. with Walter Hayman at Exeter. Kennedy's first paper was published in 1953, titled On a conjecture of Heins, which concerned a conjecture of Heins on subharmonic functions and gives positive results. That same year he was appointed as an assistant lecturer in mathematics at the University of Aberystwyth, and by 1954 he was awarded a Ph.D. by the National University of Ireland for his thesis Asymptotic Values on Integral Functions. He married Pamela Fishwick in March 1954, and had three children, David Patrick Kennedy, Anne Deirdre Kennedy, and Jane C Deborah Kennedy. Since Kennedy lived in Wales at the time, he had wanted to avoid national service for the English, and so took a lecturer position at University College Cork in 1954, his objectives were to modernise courses and raise standards, and his research output increased. Hayman characterises Kennedy's attitude to academic politics as "black and white", and Kennedy wasn't afraid to work hard both in his research and on committee to achieve productive outcomes. In 1956, he was appointed professor of mathematics at Cork, and awarded the D.Sc. by the National University of Ireland in 1960, he was elected a Fellow of the Royal Irish Academy in 1962. He was appointed the first professor of mathematics at the University of York in 1962, which planned to open the next year. He worked at building the mathematics library and appointed staff to the mathematics department. Kennedy took his life in 1966 on the night of 8 June, the coroner explained it was a combination of a psychiatric illness and added pressure of work, with his wife, Fishwick stating: "[He] set h
https://en.wikipedia.org/wiki/Samuel%20A.%20Ilori	Samuel A. Ilori is a Nigerian professor of mathematics at the Faculty of Mathematics, University of Ibadan, Nigeria. He was the former Head of the Department of Mathematics, Dean of the Faculty of Mathematics, former Provost of the College of Science and Technology, and ex- National President of the Mathematical Association of Nigeria. He is also a member of African Academy of Sciences. Early life and education Ilori was born on 11 January 1945. He obtained his first degree, B.Sc. in mathematics with first class honors in 1968 from the University of Ibadan in Nigeria. He then moved to the United Kingdom to obtain a Diploma in Advanced Mathematics in 1969 from the University of Oxford, and in 1972, he obtained a D.Phil. degree in mathematics from the same university. Career He was the sub Dean of Physics and Mathematics from 1977 – 1979. Later on, he went on to become the Dean of the faculty in 1990 and the Provost of College of Science and Technology in 1994. In 2003, he became the head of the department of mathematics. References 20th-century Nigerian mathematicians 21st-century Nigerian mathematicians Living people 1945 births Academic staff of the University of Ibadan Fellows of the African Academy of Sciences
https://en.wikipedia.org/wiki/William%20James%20Macdonald	William James Macdonald FRSE was born on 14 December 1851 in Scotland. He is known for being a pioneer of the introduction of modern geometry to the mathematical curriculum in schools and for being one of the founding members of the Edinburgh Mathematical Society. Biography Macdonald was born in Huntly, Aberdeenshire, but moved to the coastal town of St Andrews when he was young. There he got an education in Madras College, and became dux of the college in 1868. After completing his school education he entered the University of St Andrews, where he studied a variety of subjects including mathematics, English literature, Latin, Greek, chemistry, and philosophy. While there Macdonald won many prizes, including the Miller prize given to the student who did the best work in 1870, 1871, and 1872, the Gray prize in 1872 for an essay on spectrum analysis, and the Arnott prize, also in 1872. After graduating, Macdonald was appointed assistant to the Mathematics Department in Madras College, but only taught there for a short time before accepting a role as Mathematics Master at Merchiston Castle school in Edinburgh. He soon after accepted a role at Daniel Stewart’s College where he spent the rest of his career. Between 1898 and 1899, he was the president of the Scottish Secondary Teachers' Association. He died in Edinburgh on 29 December 1941. Accomplishments Macdonald was a pioneer in the introduction of modern geometry to the mathematical curriculum. He wrote Higher Geometry: Containing an Introduction to Modern Geometry and Elementary Geometrical Conics, a text which was widely used in schools and colleges to teach geometry. He was a founding member of the Edinburgh Mathematical Society, and was honoured by the society when he was elected as president for 1887-88 session. On the 1st of February 1886 he accepted a fellowship to the Royal Society of Edinburgh after being proposed by William Swan, John Sturgeon Mackay, George Chrystal, and Sir Thomas Muir. In June 1914, he was offered the degree of LL.D by the Senatus Academicus of the University of St Andrews, but he respectfully declined the honour. References Scottish mathematicians Scottish schoolteachers 1851 births 1941 deaths Alumni of the University of St Andrews
https://en.wikipedia.org/wiki/Quasiconvexity%20%28calculus%20of%20variations%29	In the calculus of variations, a subfield of mathematics, quasiconvexity is a generalisation of the notion of convexity. It is used to characterise the integrand of a functional and related to the existence of minimisers. Under some natural conditions, quasiconvexity of the integrand is a necessary and sufficient condition for a functional to be lower semi-continuous in the weak topology, for a sufficient regular domain . By compactness arguments (Banach–Alaoglu theorem) the existence of minimisers of weakly lower semicontinuous functionals may then follow from the direct method. This concept was introduced by Morrey in 1952. This generalisation should not be confused with the same concept of a quasiconvex function which has the same name. Definition A locally bounded Borel-measurable function is called quasiconvex if for all and all , where is the unit ball and is the Sobolev space of essentially bounded functions with essentially bounded derivative and vanishing trace. Properties of quasiconvex functions The domain can be replaced by any other bounded Lipschitz domain. Quasiconvex functions are locally Lipschitz-continuous. In the definition the space can be replaced by periodic Sobolev functions. Relations to other notions of convexity Quasiconvexity is a generalisation of convexity for functions defined on matrices, to see this let and with . The Riesz-Markov-Kakutani representation theorem states that the dual space of can be identified with the space of signed, finite Radon measures on it. We define a Radon measure by for . It can be verfied that is a probability measure and its barycenter is given If is a convex function, then Jensens' Inequality gives This holds in particular if is the derivative of by the generalised Stokes' Theorem. The determinant is an example of a quasiconvex function, which is not convex. To see that the determinant is not convex, consider It then holds but for we have . This shows that the determinant is not a quasiconvex function like in Game Theory and thus a distinct notion of convexity. In the vectorial case of the Calculus of Variations there are other notions of convexity. For a function it holds that These notions are all equivalent if or . Already in 1952, Morrey conjectured that rank-1-convexity does not imply quasiconvexity. This was a major unsolved problem in the Calculus of Variations, until Šverák gave an counterexample in 1993 for the case and . The case or is still an open problem, known as Morrey's conjecture. Relation to weak lower semi-continuity Under certain growth condition of the integrand, the sequential weakly lower semi-continuity (swlsc) of an integral functional in an appropriate Sobolev space is equivalent to the quasiconvexity of the integrand. Acerbi and Fusco proved the following theorem: Theorem: If is Carathéodory function and it holds . Then the functional is swlsc in the Sobolev Space with if and only if is quasiconvex. Here is a p
https://en.wikipedia.org/wiki/Madan%20Lal%20Puri	Madan Lal Puri is a statistician from India who built his career in the United States. He was born on 20 February 1929 in Sialkot, and is known for his work in mathematics which has had profound effects on the way statistics is understood and applied. He has won many honours and awards, including the title of College of Arts and Sciences Distinguished Research Scholar and the Bicentennial Medal, both from Indiana University, Bloomington. Biography Puri was born in Sialkot in the Punjab, which was a part of India but now is a part of Pakistan after the British Parliament passed the Indian Independence Act in 1947. Due to this his family, including his parents Ganesh Das and S W Puri, fled as refugees to Delhi. Before the act, Puri was studying in Punjab University which got split into two separate universities; Puri continued his studies in one of the new universities: the Panjab University in Chandigarh. He was awarded a B.A degree in 1948 and got his master's degree from the same university in 1950. In January 1951, he was appointed as lecturer of mathematics at the university and taught at several different colleges until August 1957. In September 1957, Puri moved the United States as he got appointed as an instructor and graduate student at the University of Colorado, Boulder. In 1958 he moved to the University of California, Berkeley, where he became a research assistant in statistics. His studies were supervised by Erich Lehmann and he was awarded his doctorate in 1962 after submitting a thesis titled Asymptotic Efficiency of a Class of c-Sample Tests. After this, he was appointed as an assistant professor and later associate professor at the Courant Institute of Mathematical Sciences in New York. He gained full professorship at Indiana University, Bloomington. Accomplishments On February 20, 2003, Puri was honoured with the title of College of Arts and Sciences Distinguished Research Scholar. Kumble Subbaswamy, dean of the College of Arts and Sciences at Indiana University, Bloomington, said "...it was my great pleasure to honour Madan Lal Puri as College of Arts and Sciences Distinguished Research Scholar. This rare designation is reserved for those who have become world leaders in a field while on the College faculty, and whose collected works are published because of their archival value." Puri was elected as a member of the International Statistical Institute, a fellow of the Institute of Mathematical Statistics, a fellow of the American Statistical Association, and a fellow of the Royal Statistical Society. Additionally, he was an elected member of the New York Academy of Sciences, and an honorary fellow of the International Indian Statistical Society. In 1875, the Punjab University in India awarded him a D.Sc. In 1974 and 1983, he received the Senior U.S. Scientist Award from the Alexander von Humboldt Foundation, and in 1974 he was honoured by the German government. He also has been honoured by universities in Australia, New
https://en.wikipedia.org/wiki/Christian%20Balagasay	Christian Balagasay (born October 28, 1996) is a Filipino professional basketball player for the NorthPort Batang Pier of the Philippine Basketball Association (PBA). PBA career statistics As of the end of 2022–23 season Season-by-season averages \|- \| align=left \| \| align=left \| Terrafirma \| 11 \|\| 10.7 \|\| .286 \|\| .000 \|\| .000 \|\| 1.6 \|\| .4 \|\| .2 \|\| .1 \|\| 1.1 \|- \| align=left \| \| align=left \| Terrafirma \| 6 \|\| 4.0 \|\| .333 \|\| .333 \|\| — \|\| .3 \|\| .0 \|\| .2 \|\| .0 \|\| .8 \|- \| align=left rowspan=2\| \| align=left \| Terrafirma \| rowspan=2\|28 \|\| rowspan=2\|7.9 \|\| rowspan=2\|.302 \|\| rowspan=2\|.214 \|\| rowspan=2\|.833 \|\| rowspan=2\|1.4 \|\| rowspan=2\|.1 \|\| rowspan=2\|.0 \|\| rowspan=2\|.1 \|\| rowspan=2\|1.4 \|- \| align=left \| NorthPort \|-class=sortbottom \| align="center" colspan=2 \| Career \| 45 \|\| 8.1 \|\| .300 \|\| .222 \|\| .714 \|\| 1.3 \|\| .2 \|\| .1 \|\| .1 \|\| 1.2 References External links PBA.ph profile 1996 births Living people Basketball players from Bataan Centers (basketball) Filipino men's basketball players Letran Knights basketball players NorthPort Batang Pier players Power forwards (basketball) Terrafirma Dyip draft picks Terrafirma Dyip players
https://en.wikipedia.org/wiki/List%20of%20Kaohsiung%2017LIVE%20Steelers%20head%20coaches	Key Coaches Note: Statistics are correct through the end of the 2022–23 PLG season. References
https://en.wikipedia.org/wiki/Forza%20Football	Forza Football is a Sweden-based football media company. The app Forza Football features live-scores, statistics and video highlights for both men's and women's football all over the world. The company also focusses on "making the world of football a better place", which includes running a football academy for children in Cambodia and collaborating with organisations like Transparency International, Stonewall or Kick It Out. History The company was founded in 2012 in Gothenburg, Sweden, by Patrik Arnesson, Erik Heinemark and Anders Elfving under the name Football Addicts. Within the first month after the release, their app Live Score Addicts was downloaded by over 300,000 users. In April 2014, the company announced the decision to change the name of the live-score app to Forza Football, which came with a variety of new features as well as a whole new design and user interface. The company took the pledge in the #WhatIf campaign organised by Women In Football in May 2018, with the goal to offer the same coverage of women’s football as for the men’s game. Later that year, together with Kazakoff Design, Forza Football was awarded the top distinction for communication design, the Red Dot: Grand Prix, in the Red Dot Design Award 2018. In 2021, they had a revenue of around SEK 56 million and a profit of SEK 9.8 million. Since April 2022, Jonas Linné is the CEO of the football app, while founder Patrik Arnesson will focus more on the NFT business through the company Forza Ikonia. Forza Football collaborated with investigative journalism platform Blankspot and creative agency Forsman & Bodenfors to release Cards of Qatar in June 2022. Instead of the World Cups' star players, the Cards of Qatar profile workers that have been injured or killed on the job during preparations for the 2022 FIFA World Cup. Later that year, the reportage series won the Stora Journalistpriset 2022 in the category "Innovator of the Year". In October 2022, Forza Football was listed as one of Sweden's 90 hottest fast-growing tech companies by new business news site Breakit. Surveys Homophobia in football In October 2014, 30,000 football fans participated in a survey regarding attitudes towards homosexuality in football. Louise Taylor of The Guardian analysed the findings of the poll: "Although the results are varied and reflect the cultural contexts of the regions in which respondents live the overall message is that homophobia among football supporters seems to be a diminishing, albeit slowly, problem." A similar survey of 50,000 fans took place in December 2017. The results showed that 76% of the participants would feel comfortable if a player in their national team came out as gay or bisexual. In an online article for Forbes, Steve Price titled that the poll makes a "grim reading for U.S. Soccer" on LGBT tolerance. Racism in football In 2018, Forza Football worked together with Kick It Out on a survey to identify global attitudes and issues in regards to racial equa
https://en.wikipedia.org/wiki/Exit%20velocity	In baseball statistics, exit velocity (EV) is the estimated speed at which a batted ball is travelling as it is coming off the player's bat. Batters generally aim for a higher exit velocity in order to give opposing fielders less time to react and attempt a defensive play; however, many batters are still able to accrue hits without a high exit velocity. A pitcher will attempt to limit the exit velocity on the opposing batter's contact in order to allow the fielders or themself a better chance at making an out. Exit velocity was first tracked by Major League Baseball (MLB) in 2015 with the introduction of Statcast. In MLB and many other North American baseball leagues, exit velocity is measured and presented in miles per hour. Origins For most of baseball's history, there were no commonplace methods to quantify how hard-hit a batted ball was — the only aspect of the ball's speed being tracked was how fast the pitcher threw it, measured using various evolutions of radar guns. In 2015, MLB introduced Statcast technology to all 30 of its ballparks, in part to track exit velocity. The league released its initial data the following year in a summary of the 2015 season's statistical notabilities. Throughout the 2016 season, more aspects of exit velocity were gradually rolled out to fans. MLB launched Baseball Savant in 2016 to provide fans easy access to exit velocity and other Statcast-recorded data. External factors Ballparks Since every MLB stadium has its own unique set of dimensions and intricacies, there has been an observed ballpark-to-ballpark difference in exit velocity stats despite attempts to curtail it. MLB originally installed TrackMan radar technology but switched to the optical-based Hawk-Eye system in 2020 — with both systems, the league was unable to avoid variances in data collection based on each ballpark. When Statcast is unable to accurately record exit velocity data for a batted ball, either because of ballpark factors or some other reason, it imputes a value in its place. Equipment Exit velocity can vary based on whether or not the ball is moisturized with a humidor. From April 7 to May 22, 2021, the average exit velocity was with a humidor and without a humidor. During the same span of days in 2022, the average with a humidor was and without a humidor. Uses Since its introduction, MLB teams have used the exit velocity stat to gauge a batter's abilities. Transversely, exit velocity can be analyzed to improve a pitcher's results, especially those prone to giving up hard contact. Statcast technology in MLB ballparks allows teams to analyze exit velocity data points in real-time during games and make adjustments accordingly. The use of exit velocity stats has been criticized by some. In 2018, Chicago Cubs manager Joe Maddon expressed his thoughts on advanced stats, stating: "Keep your launch angles, keep your exit velocities, give me a good at-bat." Maddon added that exit velocity and similar stats should instead be used
https://en.wikipedia.org/wiki/Ari%20Nagel	Ari Nagel () is an American mathematics professor and a sperm donor who has fathered more than 100 children . He has been nicknamed the Sperminator or the Target Donor, after the American retail corporation in whose stores some of his artificial-insemination donations were performed. Early life Ari Nagel was born to an Orthodox Jewish family in Monsey, New York, as the fifth of seven children. He spent his childhood in Monsey, attending school at Yeshiva of Spring Valley and Yeshiva Shaarei Torah, and later studied at St. John's University in New York City. Nagel received a large monetary settlement from a motorcycle accident and traveled around the world, after which he became irreligious. He also studied at the London School of Economics. After returning to New York, he became a professor at the Kingsborough Community College of the City University of New York teaching mathematics and computer science. Nagel's first child was born in 2003 as a result of an unintended pregnancy. He married the mother but they maintained separate apartments. Sperm donation When his first son was a toddler, Nagel made his first sperm donation to a lesbian couple who advertised on Craigslist. Shortly thereafter he donated to a single woman he knew, following which he registered in the Known Donor Registry and donated a couple of times a year. In 2016, the New York Post reported that Nagel had fathered 22 children, nicknaming him the "Sperminator". Shortly after the story was published, the New York State Department of Health sent Nagel a letter informing him that operating an unlicensed sperm bank was illegal, but did not escalate the matter. As of 2021, Nagel continued to operate outside of any regulatory framework, and provides sperm donations without formal legal contracts. Nagel maintains contact with many of the children he has fathered, but does not generally support the children financially. He has been successfully sued by five mothers (of nine children) for child support, and half of his university paycheck is garnished towards these payments. Nagel often travels to prospective recipients, with the recipients paying for his flight fare, and the sperm is provided free of charge as a donation. Nagel originally made many of his donations with natural insemination, but later switched to artificial insemination, delivering his sperm in a "cup" to protect himself, and the mothers to whom he donates sperm, from the risks of frequent unprotected sex. Some of his artificial donations were performed in public restrooms, leading to the nickname "Target Donor" after it was reported that some donations were made in Target department stores. In 2017, Nagel deposited sperm with six different sperm banks in Israel. In 2018, Israeli authorities banned him from donating sperm; his appeal against the decision was rejected by the Supreme Court of Israel. The court ruled that it was "doubtful he [Nagel] can function as an actual father" due to the number of his children. I
https://en.wikipedia.org/wiki/Thom%27s%20first%20isotopy%20lemma	In mathematics, especially in differential topology, Thom's first isotopy lemma states: given a smooth map between smooth manifolds and a closed Whitney stratified subset, if is proper and is a submersion for each stratum of , then is a locally trivial fibration. The lemma was originally introduced by René Thom who considered the case when . In that case, the lemma constructs an isotopy from the fiber to ; whence the name "isotopy lemma". The local trivializations that the lemma provide preserve the strata. However, they are generally not smooth (not even ). On the other hand, it is possible that local trivializations are semialgebraic if the input data is semialgebraic. The lemma is also valid for a more general stratified space such as a stratified space in the sense of Mather but still with the Whitney conditions (or some other conditions). The lemma is also valid for the stratification that satisfies Bekka's condition (C), which is weaker than Whitney's condition (B). (The significance of this is that the consequences of the first isotopy lemma cannot imply Whitney’s condition (B).) Thom's second isotopy lemma is a family version of the first isotopy lemma. Proof The proof is based on the notion of a controlled vector field. Let be a system of tubular neighborhoods in of strata in where is the associated projection and given by the square norm on each fiber of . (The construction of such a system relies on the Whitney conditions or something weaker.) By definition, a controlled vector field is a family of vector fields (smooth of some class) on the strata such that: for each stratum A, there exists a neighborhood of in such that for any , on . Assume the system is compatible with the map (such a system exists). Then there are two key results due to Thom: Given a vector field on N, there exists a controlled vector field on S that is a lift of it: . A controlled vector field has a continuous flow (despite the fact that a controlled vector field is discontinuous). The lemma now follows in a straightforward fashion. Since the statement is local, assume and the coordinate vector fields on . Then, by the lifting result, we find controlled vector fields on such that . Let be the flows associated to them. Then define by It is a map over and is a homeomorphism since is the inverse. Since the flows preserve the strata, also preserves the strata. See also Ehresmann's fibration theorem Thom–Mather stratified space Tame topology Note References External links https://mathoverflow.net/questions/23259/thom-first-isotopy-lemma-in-o-minimal-structures Differential topology Lemmas Stratifications
https://en.wikipedia.org/wiki/Leunovo	Leunovo () is a village in the municipality of Mavrovo and Rostuša, North Macedonia. Demographics In statistics gathered by Vasil Kanchov in 1900, the village was inhabited by 900 Bulgarian Exarchists and 55 Muslim Albanians. Kanchov notes the village as being bilingual in Albanian and Bulgarian, with the latter being the language spoken in the househould. According to the 1929 ethnographic map by Russian Slavist Afanasy Selishchev, Leunovo was a mixed Bulgarian-Albanian village. As of the 2021 census, Leunovo had 31 residents with the following ethnic composition: Macedonians 27 Persons for whom data are taken from administrative sources 4 References Villages in Mavrovo and Rostuša Municipality
https://en.wikipedia.org/wiki/Tony%20O%27Farrell	Tony O'Farrell (born Anthony G. O'Farrell in 1947 in Dublin) is an Irish mathematician who is Professor Emeritus at Maynooth University. He has been in the Mathematics and Statistics Department there since 1975. Early life He was born in Dublin and grew up there and in Tipperary. Education and career He attended University College Dublin (UCD) earning a BSc in mathematical science (1967). After a year working for the Irish Meteorological Service, he returned to UCD for his MSc (1969). He then moved to the USA, to Brown University from which he earned a PhD in 1973, for a thesis on "Capacities in Uniform Approximation" done under Brian Cole. After two years at the University of California, Los Angeles (UCLA), during which he published extensively, in 1975 he returned to Ireland as Professor of Mathematics at St. Patrick's College, Maynooth (later Maynooth University), outside Dublin. This appointment was notable for two reasons: he was only 28, and, while Maynooth had lay lecturers and senior lecturers, he was the first layman appointed to a chair at this traditionally pontifical institution. O'Farrell has long been active in the Irish Mathematical Society, serving as president in 1983 and 1984, and as editor of the Bulletin of the IMS since 2011. In 1981 he was elected to the Royal Irish Academy. From 1992-1995, he also served as head of the Computer Science Department at Maynooth. In 2002, O'Farrell established Logic Press which publishes mathematics books at various levels in both English and Irish. These range from the Irish Mathematical Olympiad Manual to undergraduate and postgraduate level texts and research monographs. In 2012, he formally retired from Maynooth, though he remains very active in many arenas. Hamilton Walk In 1990 O’Farrell established the annual Hamilton Walk, which commemorates the 16 October 1843 discovery of quaternions by William Rowan Hamilton. It starts at Dunsink Observatory in County Dublin, just west of the city, and follows the Royal Canal east to Broom Bridge. Over the decades, this has grown in popularity and stature, attracting Nobel laureates and Fields Medallists. O'Farrell's younger colleague Fiacre Ó Cairbre took over the organisation of the walk at the end of the 1990s, but O'Farrell always gives a speech at Broom Bridge. In 2018, O’Farrell and Ó Cairbre received the 2018 Maths Week Ireland Award, for "outstanding work in raising public awareness of mathematics" resulting from the founding and nurturing the Hamilton Walk. Selected papers 1973 "An isolated bounded point derivation", Proceedings AMS 39 (1973) 559-562. 1974 "A generalized Walsh-Lebesgue theorem", Proc. Roy. Soc. Edinburgh 73A(1974/75) 231-234. 1977 "Hausdorff content and rational approximation in fractional Lipschitz norms", Transactions AMS 228 (1977) 187-206. 1976 "Sobolev approximation by a sum of subalgebras on the circle" (with J.B. Garnett), Pacific J. Math. 65 (1976) 55-63. 1983 "Approximation by a sum of two alge
https://en.wikipedia.org/wiki/Stephen%20O%27Connor%20%28academic%29	Stephen O’Connor is a chartered professor of biomedical engineering at the School of Mathematics, Computer Science and Engineering, University of London. He is former President of the Institute of Physics and Engineering in Medicine (IPEM). He is also an Honorary Fellow of the Royal College of Physicians and a Fellow of the Royal Academy of Engineering. References Biomedical engineers Fellows of the Royal Academy of Engineering Fellows of the Royal College of Physicians Living people Year of birth missing (living people)
https://en.wikipedia.org/wiki/Kaniadakis%20Weibull%20distribution	The Kaniadakis Weibull distribution (or κ-Weibull distribution) is a probability distribution arising as a generalization of the Weibull distribution. It is one example of a Kaniadakis κ-distribution. The κ-Weibull distribution has been adopted successfully for describing a wide variety of complex systems in seismology, economy, epidemiology, among many others. Definitions Probability density function The Kaniadakis κ-Weibull distribution is exhibits power-law right tails, and it has the following probability density function: valid for , where is the entropic index associated with the Kaniadakis entropy, is the scale parameter, and is the shape parameter or Weibull modulus. The Weibull distribution is recovered as Cumulative distribution function The cumulative distribution function of κ-Weibull distribution is given byvalid for . The cumulative Weibull distribution is recovered in the classical limit . Survival distribution and hazard functions The survival distribution function of κ-Weibull distribution is given by valid for . The survival Weibull distribution is recovered in the classical limit . The hazard function of the κ-Weibull distribution is obtained through the solution of the κ-rate equation:with , where is the hazard function: The cumulative κ-Weibull distribution is related to the κ-hazard function by the following expression: where is the cumulative κ-hazard function. The cumulative hazard function of the Weibull distribution is recovered in the classical limit : . Properties Moments, median and mode The κ-Weibull distribution has moment of order given by The median and the mode are: Quantiles The quantiles are given by the following expressionwith . Gini coefficient The Gini coefficient is: Asymptotic behavior The κ-Weibull distribution II behaves asymptotically as follows: Related distributions The κ-Weibull distribution is a generalization of: κ-Exponential distribution of type II, when ; Exponential distribution when and . A κ-Weibull distribution corresponds to a κ-deformed Rayleigh distribution when and a Rayleigh distribution when and . Applications The κ-Weibull distribution has been applied in several areas, such as: In economy, for analyzing personal income models, in order to accurately describing simultaneously the income distribution among the richest part and the great majority of the population. In seismology, the κ-Weibull represents the statistical distribution of magnitude of the earthquakes distributed across the Earth, generalizing the Gutenberg–Richter law, and the interval distributions of seismic data, modeling extreme-event return intervals. In epidemiology, the κ-Weibull distribution presents a universal feature for epidemiological analysis. See also Giorgio Kaniadakis Kaniadakis statistics Kaniadakis distribution Kaniadakis κ-Exponential distribution Kaniadakis κ-Gaussian distribution Kaniadakis κ-Gamma distribution Kaniadakis κ-Logistic distribution
https://en.wikipedia.org/wiki/List%20of%20carillons%20in%20Belgium	Carillons, musical instruments of bells in the percussion family, are found throughout Belgium. Several institutions maintain registries on the location and statistics of carillons. Some registries specialize in counting specific types of carillons. For example, the War Memorial and Peace Carillons registry counts instruments which serve as war memorials or were built in the name of promoting world peace (and tracks five in Belgium); the counts carillons throughout the country, along with the rest of the world. Two Belgian carillon associationsthe Flemish Carillon Association and the Walloon Carillon Associationcount carillons in their respective regions. According to their registries, there are 94 carillons in Belgium: 70 in the Flemish Region, 22 in the Walloon Region, and 2 in the Brussels Capital Region. They are distributed across 77 different cities; several are located within the same city, and two are even within the same buildingat St. Rumbold's Cathedral in Mechelen. The population has a wide range in total weights, with bourdons spanning between . They also span a wide range of notes, from 21 (which the Flemish association considers a carillon despite failing its definition that requires at least 23) up to 64. Many carillons were constructed over several centuries by several bellfounders; a minority are constructed entirely by a single bellfounder. The majority of carillons are transposing instruments, and often transpose such that the lowest note on the keyboard is B or C. According to the , the carillons in Belgium account for 14 percent of the world's total and is consequently considered one of the "great carillon countries" along with the Netherlands and the United States. Brussels Despite not being a part of their respective regions, both the Flemish Carillon Association and the Walloon Carillon Association track the number of carillons located in the Brussels Capital Region, of which there are two. The larger both in terms of weight and number of bells is located at the Cathedral of St. Michael and St. Gudula. The smaller is located at the Palace of the Nation, Belgium's federal parliament building. Constructed in the 20th century, these carillons are much newer relative to others in the country. Brussels once had nine carillons in 1541; none survived past 1914. Flanders The Flemish Carillon Association maintains a registry of carillons in the Flemish Region. According to the organization, there are 70 carillons located in Flanders. They are distributed across 56 different cities; several are located within the same city, and two are even within the same buildingat St. Rumbold's Cathedral in Mechelen. The carillons have a wide range in total weights, with bourdons spanning between . They also span a wide range of notes, from 21 (which the association considers a carillon despite failing its definition that requires at least 23) up to 64. Many carillons were constructed over several centuries by several bellfounders; a mino
https://en.wikipedia.org/wiki/Ekhaguere%20Godwin%20Osakpemwoya%20Samuel	Godwin Osakpemwoya Samuel Ekhaguere is a Nigerian professor of mathematics at the University of Ibadan and the founder and president of the International Centre for Mathematical & Computer Sciences (ICMCS). He was a Fellow of the Alexander von Humboldt Foundation, Germany, a former sub Dean of Faculty of Science University of Ibadan and is a member of the African Academy of Sciences. He is also a recipient of the Nigerian National Order of Merit (NNOM) which was conferred on him by President Muhammadu Buhari. Early life and education. Godwin, fondly called GOS, was born on 23 May 1947 in Benin City, Edo State, Nigeria. He obtained the West African School Certificate in 1965 and the Higher School Certificate in 1967, both at the Immaculate Conception College (ICC), Benin City. In 1971, he obtained his first degree in physics and earned the Diploma of Imperial College (DIC) at the Imperial College of Science & Technology (now Imperial College of Science, Technology & Medicine) London in Mathematical Physics in 1974. In 1976, he bagged his Ph.D. in Mathematical Physics from the University of London (Bedford College). Career GOS became a professor in 1988 and the vice-president of the Nigerian Mathematical Society in 1995. From 1993 to 1996, he was the Head of the Department of mathematics and became the sub-dean of the faculty of science in 1981. Over the years, he occupied diverse visiting positions at multiple institutions around the world, some of which are: the Institute of Theoretical Physics, University of Göttingen, Göttingen, Germany; Institute of Theoretical Physics, University of Wroclaw, Poland; Forschungszentrum Bielefeld-Bochum-Stochastik (BiBoS), Universität Bielefeld, Germany; Sonderforschungsbereich 123 University of Heidelberg, Heidelberg, Germany; Arnold-Sommerfeld Institute for Mathematical Physics, Technical University of Clausthal-Zellerfeld, Germany; International Centre for Theoretical Physics, Trieste, Italy; Centro Matematica Vito Volterra, Università di Roma II (Tor Vergata), Rome, Italy; the Association of African Universities, Accra, Ghana and the University of the Western Cape, Bellville, Cape Town, South Africa. He is currently a Professor Emeritus of Mathematics at the University of Ibadan: a lifelong appointment. His autobiography, with the title: Promise and Providence, was published on September 23, 2022, by Safari Books Limited, Ibadan, Nigeria, and is available on multiple e-publishing platforms such as: Amazon, Barnes and Noble, Rakuten Kobo, Lulu.com, Weltbild, Hugendubel and the African Books Collective. References 20th-century Nigerian mathematicians 21st-century Nigerian mathematicians Living people 1947 births People from Benin City Fellows of the African Academy of Sciences
https://en.wikipedia.org/wiki/Jack%20%28geometry%29	In geometry, a jack is a 3D cross shape consisting of three orthogonal ellipsoids. Sometimes four small spheres are added to the ends of two ellipsoids, to more closely resemble a playing piece from the game of jacks. Sometimes any 3D cross shape, consisting of cylinders, boxes or lines instead of ellipsoids, are also included. See also Knucklebones References Elementary geometry Geometric shapes Spherical geometry
https://en.wikipedia.org/wiki/Jean-Pierre%20Ezin	Jean-Pierre Onvêhoun Ezin is a Beninese Emeritus Professor of mathematics at University of Abomey-Calavi (Université d'Abomey-Calavi). He was a former commissioner of Economic Community of West African States (ECOWAS) for Education, Science and Culture. He was a Commissioner of African Union for Human Resource, Science and Technology. He was the Founding Director of Institute of Mathematics and Physical Sciences, Benin (Institut de Mathématiques et de Sciences Physiques, Bénin ) and a former Rector National University, Benin (Recteur Université Nationale, Bénin). He is an elected fellow of the World Academy of Sciences and African Academy of Sciences Early life and education Ezin was Born in 1944 in Guézin, Benin Republic. He attended Father Aupiais College (Collège Père Aupiais) for his secondary and High school education. He obtained his Bachelor and master's degree in Mathematics and Fundamental Applications at the Faculty of Sciences from the University of Dakar-Fann, Senegal. In 1970, He obtained a Diploma from the Institute of Business Administration (I.A.E) and Diploma of Advanced Studies in Mathematics, University of Sciences and Technologies, Lille I, France. In 1972 and 1981, he obtained the Doctor of 3rd cycle of mathematics and Doctor of State in Mathematics from the same Institution. Career He was a short term teacher at St Jean de Douai Institution, France Saint Bernard and Saint Judes Institution of Armentières, France from 1971 - 1973. In 1973, he became an Assistant lecturer at National University of Benin. In 1977, he became a master assistant at University of Sciences and Technologies of Lille, he became a lecturer at National University of Benin and a full professor in 1999. Academic administrative appointments In 1975, he was the Head of Department of Mathematics at the Faculty of Sciences. In 1976, he became the Director of Scientific and Technical Studies Department (National University of Benin). In 1992, he was appointed as the rector of National University of Benin and in 1988, he became the Founder and Director of Institute of Mathematics and Physical Sciences in Benin Republic. International appointments In 2011, He was appointed as the chairperson of Orientation Council of the Inter Establishment Research Agency for Development (AIRD) [Conseil d’Orientation de l’Agence Inter établissement de Recherche pour le Développement (AIRD)]. From 2008 - 2013, He was the African Union's (AU) Commissioner in charge of Human Resources, Science and Technology from 2008 - 2013. In 2014, he became the Economic Community of West African States (ECOWAS) commissioner in charge of Education, Science and Culture. Memberships In 2010, he became a member of the Board of Directors of Office of International Science and Engineering (OISE) USA. He is an elected member of African Academy of Sciences and The World Academy of Sciences. He is also part of the Founding members of National Academy of Sciences, Arts and Letter
https://en.wikipedia.org/wiki/Lee%20Ki-hyuk%20%28footballer%29	Lee Ki-hyuk (; born 7 July 2000) is a South Korean footballer currently playing as a winger or an attacking midfielder for Jeju United and the South Korea national team. Career statistics Club References External links 2000 births Living people South Korean men's footballers South Korea men's youth international footballers Men's association football midfielders K League 1 players Suwon FC players
https://en.wikipedia.org/wiki/Danielle%20Collins%20career%20statistics	This is a list of the main career statistics of professional American tennis player Danielle Collins. Performance timelines Only main-draw results in WTA Tour, Grand Slam tournaments, Billie Jean King Cup and Olympic Games are included in win–loss records. Singles Current through the 2023 Guadalajara Open. Doubles Current through the 2023 San Diego Open. Grand Slam tournament finals Singles: 1 (runner-up) WTA Tour finals Singles: 3 (2 titles, 1 runner-up) Doubles: 2 (1 title, 1 runner-up) WTA 125 finals Singles: 1 (title) ITF Circuit finals Singles: 8 (4 titles, 4 runner–ups) Doubles: 2 (2 runner–ups) WTA Tour career earnings Current through the 2022 Budapest Grand Prix. Career Grand Slam statistics Seedings The tournaments won by Collins are in boldface, and advanced into finals by Collins are in italics. Best Grand Slam results details Grand Slam winners are in boldface, and runners-up are in italics. Head-to-head statistics Record against top 10 players Collins's record against players who have been ranked in the top 10. Active players are in boldface. No. 1 wins Top 10 wins Notes References Collins, Danielle
https://en.wikipedia.org/wiki/Jessica%20Pegula%20career%20statistics	This is a list of the main career statistics of professional American tennis player Jessica Pegula. Performance timelines Only main-draw results in WTA Tour, Grand Slam tournaments, Billie Jean King Cup, United Cup, Hopman Cup and Olympic Games are included in win–loss records. Singles Current after the 2023 Korea Open. Doubles Current after the 2023 China Open. Grand Slam tournament finals Doubles: 1 (runner-up) Mixed doubles: 1 (runner-up) WTA 1000 finals Singles: 3 (2 titles, 1 runner-up) Doubles: 5 (3 titles, 2 runner-ups) WTA Tour finals Singles: 9 (4 titles, 5 runner-ups) Doubles: 10 (7 titles, 3 runner-ups) WTA Challenger finals Singles: 1 (runner-up) Doubles: 2 (1 title, 1 runner-up) ITF Circuit finals Singles: 6 (6 runner–ups) Doubles: 17 (7 titles, 10 runner–ups) WTA Tour career earnings Current through the 2023 Cincinnati Open. Career Grand Slam statistics Grand Slam tournament seedings The tournaments won by Pegula are in boldface, and advanced into finals by Pegula are in italics. Best Grand Slam results details Grand Slam winners are in boldface, and runner–ups are in italics. Singles Record against other players No. 1 wins Record against top 10 players She has a record against players who were, at the time the match was played, ranked in the top 10. Longest winning streaks 9–match doubles winning streak (2023) Notes References Pegula, Jessica
https://en.wikipedia.org/wiki/Wang%20Qiming	Wang Qiming (; June 4, 1941 – April 7, 1989) was a Chinese mathematician who was known for his work in differential geometry. He was considered as one of the best differential geometers in China of the time. Biography Wang Qiming was born in Yan'an, Shaanxi. In 1960, he graduated from Beijing 101 Middle School and was admitted to the five-year bachelor's degree programme of the Department of Mathematics of the University of Science and Technology of China. In 1965, he entered the Institute of Mathematics of the Chinese Academy of Sciences to study under Wu Wenjun. Once Wang pointed out a mistake that Wu made in a lesson and told Wu the German book upon which he based. Wu was greatly impressed. After the institute had recovered in early 1970s from the disruption of the Cultural Revolution, Wang worked intensely in differential geometry and topology. After mainland China had reopened to the world, Wang actively engaged in international research cooperations. He was one of the first Chinese visiting scholars to the United States in 1978 when he visited the University of California at Berkeley for two years. Later, he also visited the IHES, Max-Planck-Institut, the CIME in Italy and University of Texas at Austin. Academic career Wang was a senior researcher of the Institute of Mathematics of the Chinese Academy of Sciences, a member of its academic committee and the person in charge of graduate student affairs. Wang had also been the acting deputy director of the institute. Since 1988, Wang had been the deputy editor-in-chief of the Chinese mathematics journal 数学进展 (Advances in Mathematics (China)). He was a committee member of the International Centre for Theoretical Physics in Italy. Death On April 7, 1989, Wang was killed in a car accident. He was a passenger in a car whose driver was Shing-Tung Yau, and the accident occurred when Yau was making a turn. Wang had just arrived in the United States the day before and planned to visit Harvard University for several months. He would likely have become the director of the Institute of Mathematics had he returned to China after this visit. His teacher Wu Wenjun thought that Wang would certainly have been a leader of Chinese mathematics if the accident had not had happened. A memorial service was held in Beijing on July 20 that year. Research Wang Qiming worked on differential geometry and symmetric spaces. He made a number of important contributions to isoparametric functions and minimal hypersurfaces. References 20th-century Chinese mathematicians Differential geometers University of Science and Technology of China alumni 1941 births 1989 deaths
https://en.wikipedia.org/wiki/Kaniadakis%20Gaussian%20distribution	The Kaniadakis Gaussian distribution (also known as κ-Gaussian distribution) is a probability distribution which arises as a generalization of the Gaussian distribution from the maximization of the Kaniadakis entropy under appropriated constraints. It is one example of a Kaniadakis κ-distribution. The κ-Gaussian distribution has been applied successfully for describing several complex systems in economy, geophysics, astrophysics, among many others. The κ-Gaussian distribution is a particular case of the κ-Generalized Gamma distribution. Definitions Probability density function The general form of the centered Kaniadakis κ-Gaussian probability density function is: where is the entropic index associated with the Kaniadakis entropy, is the scale parameter, and is the normalization constant. The standard Normal distribution is recovered in the limit Cumulative distribution function The cumulative distribution function of κ-Gaussian distribution is given bywhereis the Kaniadakis κ-Error function, which is a generalization of the ordinary Error function as . Properties Moments, mean and variance The centered κ-Gaussian distribution has a moment of odd order equal to zero, including the mean. The variance is finite for and is given by: Kurtosis The kurtosis of the centered κ-Gaussian distribution may be computed thought: which can be written asThus, the kurtosis of the centered κ-Gaussian distribution is given by:or κ-Error function The Kaniadakis κ-Error function (or κ-Error function) is a one-parameter generalization of the ordinary error function defined as: Although the error function cannot be expressed in terms of elementary functions, numerical approximations are commonly employed. For a random variable distributed according to a κ-Gaussian distribution with mean 0 and standard deviation , κ-Error function means the probability that X falls in the interval . Applications The κ-Gaussian distribution has been applied in several areas, such as: In economy, the κ-Gaussian distribution has been applied in the analysis of financial models, accurately representing the dynamics of the processes of extreme changes in stock prices. In inverse problems, Error laws in extreme statistics are robustly represented by κ-Gaussian distributions. In astrophysics, stellar-residual-radial-velocity data have a Gaussian-type statistical distribution, in which the K index presents a strong relationship with the stellar-cluster ages. In nuclear physics, the study of Doppler broadening function in nuclear reactors is well described by a κ-Gaussian distribution for analyzing the neutron-nuclei interaction. In cosmology, for interpreting the dynamical evolution of the Friedmann–Robertson–Walker Universe. In plasmas physics, for analyzing the electron distribution in electron-acoustic double-layers and the dispersion of Langmuir waves. See also Giorgio Kaniadakis Kaniadakis statistics Kaniadakis distribution Kaniadakis κ
https://en.wikipedia.org/wiki/Kaniadakis%20logistic%20distribution	The Kaniadakis Logistic distribution (also known as κ-Logisticdistribution) is a generalized version of the Logistic distribution associated with the Kaniadakis statistics. It is one example of a Kaniadakis distribution. The κ-Logistic probability distribution describes the population kinetics behavior of bosonic () or fermionic () character. Definitions Probability density function The Kaniadakis κ-Logistic distribution is a four-parameter family of continuous statistical distributions, which is part of a class of statistical distributions emerging from the Kaniadakis κ-statistics. This distribution has the following probability density function: valid for , where is the entropic index associated with the Kaniadakis entropy, is the rate parameter, , and is the shape parameter. The Logistic distribution is recovered as Cumulative distribution function The cumulative distribution function of κ-Logistic is given by valid for . The cumulative Logistic distribution is recovered in the classical limit . Survival and hazard functions The survival distribution function of κ-Logistic distribution is given by valid for . The survival Logistic distribution is recovered in the classical limit . The hazard function associated with the κ-Logistic distribution is obtained by the solution of the following evolution equation:with , where is the hazard function: The cumulative Kaniadakis κ-Logistic distribution is related to the hazard function by the following expression: where is the cumulative hazard function. The cumulative hazard function of the Logistic distribution is recovered in the classical limit . Related distributions The survival function of the κ-Logistic distribution represents the κ-deformation of the Fermi-Dirac function, and becomes a Fermi-Dirac distribution in the classical limit . The κ-Logistic distribution is a generalization of the κ-Weibull distribution when . A κ-Logistic distribution corresponds to a Half-Logistic distribution when , and . The ordinary Logistic distribution is a particular case of a κ-Logistic distribution, when . Applications The κ-Logistic distribution has been applied in several areas, such as: In quantum statistics, the survival function of the κ-Logistic distribution represents the most general expression of the Fermi-Dirac function, reducing to the Fermi-Dirac distribution in the limit . See also Giorgio Kaniadakis Kaniadakis statistics Kaniadakis distribution Kaniadakis κ-Exponential distribution Kaniadakis κ-Gaussian distribution Kaniadakis κ-Gamma distribution Kaniadakis κ-Weibull distribution Kaniadakis κ-Erlang distribution References External links Kaniadakis Statistics on arXiv.org Probability distributions Mathematical and quantitative methods (economics)
https://en.wikipedia.org/wiki/Demographics%20of%20Brussels	The demographics of Brussels are monitored by Statistics Belgium. Brussels population is currently 1,222,657 as of 2022. Population The current population of Brussels (officially the Brussels Capital Region) in 2022 was 1,222,637 In recent years, the city has received a markable increase in its population. In general, the population of Brussels is younger than the national average, and the gap between rich and poor is wider. Growth rate The population growth rate within Brussels for 2021 was 0.22%. Density The density of Brussels is also high, Brussels is one of the most urbanised areas of Europe. Life expectancy The life expectancy is Brussels is 79.61 years of age in 2020. Fertility The total fertility rate within Brussels in 2019 is 1.7 children per woman. The total number of births in Brussels is declining. Age of first birth and childbearing The average age of which a mother gives birth has been consistently rising since figures go back to 1998 Age The average age of Brussels is much lower than on average the rest of Belgium. Language Today, the Brussels-Capital Region is legally bilingual, with both French and Dutch having official status, as is the administration of the 19 municipalities. Owing to migration and to its international role, Brussels is home to a large number of native speakers of languages other than French or Dutch. Currently, about half of the population speaks a home language other than these two. In 2013, academic research showed that approximately 17% of families spoke none of the official languages in the home, while in a further 23% a foreign language was used alongside French. The share of unilingual French-speaking families had fallen to 38% and that of Dutch-speaking families to 5%, while the percentage of bilingual Dutch-French families reached 17%. At the same time, French remains widely spoken: in 2013, French was spoken "well to perfectly" by 88% of the population, while for Dutch this percentage was only 23% (down from 33% in 2000); the other most commonly known languages were English (30%), Arabic (18%), Spanish (9%), German (7%) and Italian and Turkish (5% each). Despite the rise of English as a second language in Brussels, including as an unofficial compromise language between French and Dutch, as well as the working language for some of its international businesses and institutions, French remains the lingua franca and all public services are conducted exclusively in French or Dutch. Religion Historically, Brussels has been predominantly Roman Catholic, especially since the expulsion of Protestants in the 16th century. This is clear from the large number of historical churches in the region, particularly in the City of Brussels. The pre-eminent Catholic cathedral in Brussels is the Cathedral of St. Michael and St. Gudula, serving as the co-cathedral of the Archdiocese of Mechelen–Brussels. On the north-western side of the region, the National Basilica of the Sacred Heart is a Minor
https://en.wikipedia.org/wiki/List%20of%20Urban%20Areas%20in%20Scotland	This is a list of the most populous urban areas in Scotland(based on the 2011 census definitions, as defined by the Office for National Statistics (ONS). Using data from the official 2020 estimate. Definition The methodology used by ONS in 2011 is set out in 2011 Built-up Areas – Methodology and Guidance, published in June 2013. When ONS reported the results of the 2011 UK census, it used the term "built-up area" rather than the term "urban area" as used in previous censuses. ONS states, however, that the criteria used to define "built-up area" have not changed: In reporting the 2001 census, ONS gave a clearer definition of the term "built-up" as follows: List of most populous urban areas The list below shows the most populated urban areas in Scotland as defined by the Office for National Statistics (ONS), as accessible on citypopulation.de. {\| class="wikitable sortable" \|+ List of Largest Urban Areas in Scotland \|- ! # !! Area !! Population (2020) !! Area (km2) !! Density (People/km2) !! Primary Subdivisions \|- \| 1 \|\| Greater Glasgow \|\| 1,009,300 \|\| 265 \|\| 3,813 \|\| Glasgow, Paisley, Clydebank, Rutherglen, Newton Mearns, Bearsden, Cambuslang, Clarkston, Bishopbriggs \|- \| 2 \|\| Edinburgh \|\| 530,920\|\| 125 \|\| 4,241 \|\| Edinburgh, Musselburgh, Wallyford \|- \|3 \|\| Aberdeen \|\| 212,300 \|\| 69.5 \|\| 3,055 \|\| Aberdeen \|- \|4 \|\| Dundee \|\| 158,600 \|\| 49.9 \|\| 3,177 \|\| Dundee, Monifieth, Invergowrie \|- \|5 \|\| Motherwell \|\| 125,190 \|\| 45.1 \|\| 2,773 \|\| Motherwell, Wishaw, Bellshill, Viewpark, Newmains, Holytown \|- \|6 \|\| Falkirk \|\| 102,290 \|\| 43.5 \|\| 2,350 \|\| Falkirk, Grangemouth \|- \|7 \|\| Coatbridge \|\|89,550 \|\| 23.8 \|\| 3,756\|\| Coatbridge, Airdrie \|- \|8 \|\| Hamilton \|\| 84,210\|\| 27.6\|\|3,054\|\| Hamilton, Blantyre \|- \|9 \|\| Dunfermline \|\| 75,420 \|\| 27.9 \|\| 2,701 \|\| Dunfermline, Rosyth, Inverkeithing \|- \|10 \|\| East Kilbride \|\| 75,110 \|\| 24.2 \|\| 3,099 \|\| East Kilbride \|- \|11 \|\| Greenock \|\| 65,670 \|\| 20.8 \|\| 3,160 \|\| Greenock, Gourock \|- \|12 \|\| Livingston \|\| 65,570 \|\| 30.4 \|\| 2,158 \|\| Livingston, East Calder, Polbeth \|- \|13 \|\| Inverness \|\| 62,790 \|\| 28.0 \|\| 2,245 \|\| Inverness \|- \|14 \|\| Ayr \|\| 62,000 \|\| 26.6 \|\| 2,334 \|\| Ayr, Prestwick, Alloway, Monkton \|- \|15 \|\| Dalkeith \|\| 54,330 \|\| 16.7 \|\| 3,261 \|\| Dalkeith, Bonnyrigg, Gorebridge, Easthouses \|- \|16 \|\| Kilmarnock \|\| 50,890 \|\| 16.5 \|\| 3,088 \|\| Kilmarnock \|- \|17 \|\| Kirkcaldy \|\| 50,180\|\| 18.9 \|\| 2,661 \|\| Kirkcaldy, Dysart \|- \|18 \|\| Cumbernauld \|\| 49,800 \|\| 21.5 \|\| 2,314 \|\| Cumbernauld Geography of Scotland Lists of urban areas Scotland geography-related lists United Kingdom lists by population Urban areas of the United Kingdom
https://en.wikipedia.org/wiki/Capacitated%20arc%20routing%20problem	In mathematics, the capacitated arc routing problem (CARP) is that of finding the shortest tour with a minimum graph/travel distance of a mixed graph with undirected edges and directed arcs given capacity constraints for objects that move along the graph that represent snow-plowers, street sweeping machines, or winter gritters, or other real-world objects with capacity constraints. The constraint can be imposed for the length of time the vehicle is away from the central depot, or a total distance traveled, or a combination of the two with different weighting factors. There are many different variations of the CARP described in the book Arc Routing:Problems, Methods, and Applications by Ángel Corberán and Gilbert Laporte. Solving the CARP involves the study of graph theory, arc routing, operations research, and geographical routing algorithms to find the shortest path efficiently. The CARP is NP-hard arc routing problem. The CARP can be solved with combinatorial optimization including convex hulls. The large-scale capacitated arc routing problem (LSCARP) is a variant of the capacitated arc routing problem that applies to hundreds of edges and nodes to realistically simulate and model large complex environments. References Graph theory
https://en.wikipedia.org/wiki/Michele%20Benzi	Michele Benzi (born 1962 in Bologna) is an Italian mathematician who works as a full professor in the Scuola Normale Superiore in Pisa. He is known for his contributions to numerical linear algebra and its applications, especially to the solution of sparse linear systems and the study of preconditioners. Previous career He worked as assistant professor at the University of Bologna from 1993 to 1996, then at Cerfacs in Toulouse from 1996 to 1997, and then at the Los Alamos National Laboratory for three years. He transferred to the Emory University in Atlanta in 2000, where he held the endowed chair of Samuel Candler Dobbs professor starting from 2012 to 2018. Subsequently, he moved back to Italy to the Scuola Normale Superiore in Pisa as a full professor. Awards Benzi was named a SIAM Fellow in 2012, and a fellow of the American Mathematical Society in 2018 "for his contributions in numerical linear algebra, exposition, and service to the profession". As of 2022, he is the editor in chief of the SIAM Journal on Matrix Analysis and Applications, and he is editor of approximately 20 journals. He won a SIAM Outstanding Paper Prize in 2001. Selected publications Numerical solution of saddle point problems. M Benzi, GH Golub, J Liesen. Acta Numerica 14, 1-137 Preconditioning techniques for large linear systems: a survey. M Benzi. Journal of Computational Physics 182 (2), 418-477 A preconditioner for generalized saddle point problems. M Benzi, GH Golub. SIAM Journal on Matrix Analysis and Applications 26 (1), 20-41 The physics of communicability in complex networks. E Estrada, N Hatano, M Benzi. Physics Reports 514 (3), 89-119 References Italian mathematicians 1962 births Living people
https://en.wikipedia.org/wiki/Demographics%20of%20Antwerp	The demographics of Antwerp are monitored by Statistics Belgium. The population of the city as of 2022 is currently 530,630. Population Growth rate Antwerp as a city has grown and declined in population size throughout its history. Age structure The age structure of the city is as follows for 2022; Fertility and births In 2019, a total of 7,398 were born in total Gender There are slightly more men in the city of Antwerp then females. Language As in all Flemish provinces, the official and standard language of the Antwerp province is Dutch. As with Flemish Brabant, North Brabant and Brussels, the local dialect is a Brabantian variety. Religion The Religion of the City of Antwerp has historically been that of Roman Catholic. Due to modern migration however, there has been an introduction of non-Christian religions to the city such as the growth of Islam. Origin In 2010, 36% to 39% of the inhabitants of Antwerp had a migrant background. In 2022, 22% of the city did not have Belgian nationality (classified as a 'non-Belgian'). References Antwerp Antwerp Antwerp
https://en.wikipedia.org/wiki/Halocalculus%20aciditolerans	Halocalculus aciditolerans is a halophilic archaeon in the family of Halobacteriaceae and the only described species in the genus Halocalculus (common abbreviation Hcl.). References Halobacteria Monotypic archaea genera Archaea genera Taxa described in 2015 Archaea described in 2015
https://en.wikipedia.org/wiki/List%20of%20Parramatta%20Power%20SC%20records%20and%20statistics	Parramatta Power Soccer Club was an Australian semi-professional association football club based in Parramatta, Sydney. The club was formed in 1999 as they were admitted into the National Soccer League in the 1999–2000 season. The list encompasses the honours won by Parramatta Power, records set by the club, their managers and their players. The player records section itemises the club's leading goalscorers and those who have made most appearances in the National Soccer League. Honours and achievements National Soccer League Premiership Runners-up (1): 2003–04 National Soccer League Championship Runners-up (1): 2004 Player records Appearances Youngest first-team player: Michael Brown, 16 years, 254 days (against Northern Spirit, National Soccer League, 13 April 2001) Oldest first-team player: Michael Gibson, 37 years, 30 days (against South Melbourne, National Soccer League, 31 March 2000) Most appearances Competitive matches only, includes appearances as substitute. Numbers in brackets indicate goals scored. Goalscorers Most goals in a season: Ante Milicic, 20 goals (in the 2003–04 season) Youngest goalscorer: Brett Holman, 17 years, 305 days (against Newcastle United, National Soccer League, 26 January 2002) Oldest goalscorer: Alex Tobin, 36 years (against Sydney Olympic, National Soccer League, 3 November 2001) Top goalscorers Competitive matches only. Numbers in brackets indicate appearances made. Managerial records First full-time manager: Dave Mitchell managed Parramatta Power from July 1999 to 2002 Longest-serving manager: Dave Mitchell – (1 July 1999 to 16 February 2002) Club records Matches First match: Parramatta Power 1–1 Marconi Fairfield, National Soccer League, 1 October 1999 Record win: 7–0 against Football Kingz, National Soccer League, 15 February 2002 7–0 against Marconi Fairfield, National Soccer League, 26 January 2003 Record defeat: 1–6 against Perth Glory, National Soccer League, 3 May 2003 Record consecutive wins: 5 from 1 December 2000 to 29 December 2000 from 1 March 2003 to 30 March 2003 Record consecutive defeats: 5, from 5 January 2001 to 9 February 2001 Record consecutive matches without a defeat: 6, from 26 November 2000 to 29 December 2000 Record consecutive matches without a win: 6, from 5 January 2001 to 18 February 2001 Goals Most NSL goals scored in a season: 58 in 24 matches, 2003–04 Fewest NSL goals scored in a season: 34 in 24 matches, 2001–02 Most NSL goals conceded in a season: 47 in 34 matches, 1999–2000 Fewest NSL goals conceded in a season: 27 in 24 matches, 2002–03 Points Most points in a season: 51 in 24 matches, 2003–04 Fewest points in a season: 34 in 24 matches, 2001–02 References Parramatta Power
https://en.wikipedia.org/wiki/Poisson-Dirichlet%20distribution	In probability theory, a branch of mathematics Poisson-Dirichlet distributions are probability distributions on the set of nonnegative, non-decreasing sequences with sum 1, depending on two parameters and . It can be defined as follows. One considers independent random variables such that follows the beta distribution of parameters and . Then, the Poisson-Dirichlet distribution of parameters and is the law of the random decreasing sequence containing and the products . This definition is due to Jim Pitman and Marc Yor. It generalizes Kingman's law, which corresponds to the particular case . Number theory Patrick Billingsley has proven the following result: if is a uniform random integer in , if is a fixed integer, and if are the largest prime divisors of (with arbitrarily defined if has less than prime factors), then the joint distribution ofconverges to the law of the first elements of a distributed random sequence, when goes to infinity. Random permutations and Ewens's sampling formula The Poisson-Dirichlet distribution of parameters and is also the limiting distribution, for going to infinity, of the sequence , where is the length of the largest cycle of a uniformly distributed permutation of order . If for , one replaces the uniform distribution by the distribution on such that , where is the number of cycles of the permutation , then we get the Poisson-Dirichlet distribution of parameters and . The probability distribution is called Ewens's distribution, and comes from the Ewens's sampling formula, first introduced by Warren Ewens in population genetics, in order to describe the probabilities associated with counts of how many different alleles are observed a given number of times in the sample. References Probability distributions
https://en.wikipedia.org/wiki/Mathematics%20in%20Ethiopia	Since ancient times, traditional mathematics in Ethiopia have related to various aspects of astrology, the calendar, and measurements of physical properties such as length, weight, and distance. Ethiopians used alternate units of measurement which differ from fundamental law; traditionally, scaling and counting values have been described using draft animals such as goats, mules, sheep, or camels, and in modern times, steelyards. Measurements Weight Since measurements of weight often require accurate units or standardized scales, they were used less frequently than measurements of capacity (volume) in the past in Ethiopia. Still, there are three basic ways in which weight has been traditionally determined. First, an object's lightness or heaviness could be simply assessed by feel (holding in one's hand) or sight (visual approximation). Second, a basic estimation of weight (such as of a load carried by a porter or draft animal) might be compared to a fundamentally different but familiar unit of another measure, such as the length of a human arm or the volume held in a hand. Third, more accurate comparisons of relative weights were done using scales or other apparatus. Hand measurements were used in many parts of the country to purchase market goods, such as butter. The concepts of load and capacity were often used in lieu of weight when measuring cheap, bulk commodities, such as grain. More sophisticated and accurate techniques were only used for valuable goods such as medicine, gold, and silver. In fact, in the case of gold and silver, weight was essentially considered a concept of value. Load The concept of load—a rough measurement based on the average weight carried by a human porter, donkey, mule, or camel—has long been a widely used unit of weight in traditional Ethiopia, due to its natural emergence from traditional transport. Portuguese Jesuit missionary Manuel de Almeida noted in the 17th century that "the Emperor 'raises ten or twelve thousand loads of provisions' from State lands", while the chronicle of Emperor Iyasu I (r. 1682–1706) "reveals that taxes on trade were likewise largely based on mule and donkey loads". Scales and steelyards The balance has been the most renowned instrument within Ethiopian society. It has various terms in native languages: the Ge'ez word (; plural: ) is first mentioned by the chronicle Emperor Gelawdewos (1540–1559), in which the ruler spent 10,000 of gold for purchase of books. However, the text may be a mistake by a French editor, and actually refer to 10,000 (). Two types of weighting instruments were used. The first was a conventional balance consisting of two equal-length lever arms with two trays: one to hold the object to be weighted and the other to hold a comparison weight. The second was a steelyard balance based on a single tray subtended from a level with unequal arms, the longer arm counteracting the tray. As the more sensitive of the two instruments, steelyards were used to measure t
https://en.wikipedia.org/wiki/Laplace%27s%20approximation	Laplace's approximation provides an analytical expression for a posterior probability distribution by fitting a Gaussian distribution with a mean equal to the MAP solution and precision equal to the observed Fisher information. The approximation is justified by the Bernstein–von Mises theorem, which states that under regularity conditions the posterior converges to a Gaussian in large samples. For example, a (possibly non-linear) regression or classification model with data set comprising inputs and outputs has (unknown) parameter vector of length . The likelihood is denoted and the parameter prior . The joint density of outputs and parameters is the object of inferential desire The joint is equal to the product of the likelihood and the prior and by Bayes' rule, equal to the product of the marginal likelihood and posterior . Seen as a function of the joint is an un-normalised density. In Laplace's approximation we approximate the joint by an un-normalised Gaussian , where we use to denote approximate density, for un-normalised density and is a constant (independent of ). Since the marginal likelihood doesn't depend on the parameter and the posterior normalises over we can immediately identify them with and of our approximation, respectively. Laplace's approximation is where we have defined where is the location of a mode of the joint target density, also known as the maximum a posteriori or MAP point and is the positive definite matrix of second derivatives of the negative log joint target density at the mode . Thus, the Gaussian approximation matches the value and the curvature of the un-normalised target density at the mode. The value of is usually found using a gradient based method, e.g. Newton's method. In summary, we have for the approximate posterior over and the approximate log marginal likelihood respectively. In the special case of Bayesian linear regression with a Gaussian prior, the approximation is exact. The main weaknesses of Laplace's approximation are that it is symmetric around the mode and that it is very local: the entire approximation is derived from properties at a single point of the target density. Laplace's method is widely used and was pioneered in the context of neural networks by David MacKay, and for Gaussian processes by Williams and Barber. References Statistical approximations Bayesian inference
https://en.wikipedia.org/wiki/Kaniadakis%20distribution	In statistics, a Kaniadakis distribution (also known as κ-distribution) is a statistical distribution that emerges from the Kaniadakis statistics. There are several families of Kaniadakis distributions related to different constraints used in the maximization of the Kaniadakis entropy, such as the κ-Exponential distribution, κ-Gaussian distribution, Kaniadakis κ-Gamma distribution and κ-Weibull distribution. The κ-distributions have been applied for modeling a vast phenomenology of experimental statistical distributions in natural or artificial complex systems, such as, in epidemiology, quantum statistics, in astrophysics and cosmology, in geophysics, in economy, in machine learning. The κ-distributions are written as function of the κ-deformed exponential, taking the form enables the power-law description of complex systems following the consistent κ-generalized statistical theory., where is the Kaniadakis κ-exponential function. The κ-distribution becomes the common Boltzmann distribution at low energies, while it has a power-law tail at high energies, the feature of high interest of many researchers. List of κ-statistical distributions Supported on the whole real line The Kaniadakis Gaussian distribution, also called the κ-Gaussian distribution. The normal distribution is a particular case when The Kaniadakis double exponential distribution, as known as Kaniadakis κ-double exponential distribution or κ-Laplace distribution. The Laplace distribution is a particular case when Supported on semi-infinite intervals, usually [0,∞) The Kaniadakis Exponential distribution, also called the κ-Exponential distribution. The exponential distribution is a particular case when The Kaniadakis Gamma distribution, also called the κ-Gamma distribution, which is a four-parameter () deformation of the generalized Gamma distribution. The κ-Gamma distribution becomes a ... κ-Exponential distribution of Type I when . κ-Erlang distribution when and positive integer. κ-Half-Normal distribution, when and . Generalized Gamma distribution, when ; In the limit , the κ-Gamma distribution becomes a ... Erlang distribution, when and positive integer; Chi-Squared distribution, when and half integer; Nakagami distribution, when and ; Rayleigh distribution, when and ; Chi distribution, when and half integer; Maxwell distribution, when and ; Half-Normal distribution, when and ; Weibull distribution, when and ; Stretched Exponential distribution, when and ; Common Kaniadakis distributions κ-Exponential distribution κ-Gaussian distribution κ-Gamma distribution κ-Weibull distribution κ-Logistic distribution κ-Erlang distribution κ-Distribution Type IV The Kaniadakis distribution of Type IV (or κ-Distribution Type IV) is a three-parameter family of continuous statistical distributions. The κ-Distribution Type IV distribution has the following probability density function: valid for , where is the entropic index associat
https://en.wikipedia.org/wiki/Felicia%20Keesing	Felicia Keesing is an ecologist and the David & Rosalie Rose Distinguished Chair of the Sciences, Mathematics, and Computing at Bard College in Annandale-on-Hudson, New York. Education Keesing received her B.S. in Symbolic Systems from Stanford University in 1987 and her Ph.D. in Integrative Biology from the University of California at Berkeley in 1997. Research Keesing's research focuses on the consequences of human impacts, particularly biodiversity loss, for ecological communities. In Kenya, she has studied how the absence of large mammals like giraffes and elephants affects savanna ecology. She and Richard Ostfeld pioneered research on the ecology of Lyme disease, in particular how human risk for Lyme disease is affected by forest fragmentation and the loss of biodiversity. She and Ostfeld also developed core ideas about the general relationship between biodiversity loss and the emergence and transmission of infectious diseases, and a conceptual model of the effects of pulsed resources on ecological communities. From 2016 to 2021, she and Ostfeld co-directed the Tick Project, a study to test whether environmental interventions could prevent Lyme and other tick-borne diseases in residential neighborhoods of Dutchess County, New York. Keesing's recent research in Kenya focuses on the ecological, economic, and social consequences of managing land in Laikipia County, Kenya for livestock, wildlife, or both. In 2009, she served on the steering committee for the Vision and Change initiative to reform the teaching of undergraduate biology, and from 2012 to 2017, with funding from the Howard Hughes Medical Institute, she directed a project on science literacy for college students. In 2017, she led the development of the curriculum for the Citizen Science program at Bard College. Awards and recognition Keesing received a National Science Foundation CAREER Award and a Presidential Early Career Award for Scientists and Engineers in 1999. She is a fellow of the Ecological Society of America (2019) and a fellow of the American Association for the Advancement of Science (2021). In 2022, she was awarded the International Cosmos Prize. Selected publications References Living people Bard College faculty Stanford University alumni University of California, Berkeley alumni 1966 births American Association for the Advancement of Science American ecologists Fellows of the Ecological Society of America
https://en.wikipedia.org/wiki/1907%E2%80%9308%20Oldham%20Athletic%20A.F.C.%20season	The 1907–08 season saw Oldham Athletic compete in the Football League Second Division after winning the Lancashire Combination in the previous season. Statistics \|} Final league table Competitions Second Division F.A. Cup References Oldham Athletic A.F.C. seasons
https://en.wikipedia.org/wiki/Marc%20Seigar	Marc S. Seigar is an astrophysicist, academic and author. He is the Dean of the College of Natural Sciences and Mathematics, and a Professor of Physics and Astronomy at the University of Toledo. Seigar has published over 140 articles on topics related to galaxy structure and dynamics, galaxy morphology, and spiral structure. He is the author of 2 books entitled Dark Matter in the Universe and Spiral Structure in Galaxies, and has edited a volume on Structure and Dynamics of Disk Galaxies. Seigar is a member of several professional societies, including Sigma Xi, the International Astronomical Union, the American Astronomical Society, and the Royal Astronomical Society. He is also an Associate of the Royal College of Science. He serves on the editorial board of the journal “Universe”, and is the member of International Astronomical Union’s Executive Committee on Astronomy for Equity and Inclusion. He has conducted numerous invited talks. Education Seigar graduated from Imperial College, London in 1993 with a Bachelor of Science in Physics. He then enrolled at Liverpool John Moores University, and earned his Doctoral degree in Astrophysics in 1998 from the Astrophysics Research Institute. His dissertation “Observational Studies of the Structure of Spiral Galaxies”, was supervised by Philip A. James. Career Following his Doctoral degree, Seigar held concurrent appointments as a Postdoctoral Research Fellow at the University of Ghent, and as a Visiting Astronomer at the Space Telescope Science Institute until 2001. He held his next appointment as a Staff Astronomer for the U.K. Infrared Telescope (UKIRT) at the Joint Astronomy Centre from 2001 until 2004. During this time period, he was also concurrently appointed by the University of Hawaii at Hilo as an Adjunct Professor of Physics and Astronomy for a year. From 2004 to 2007, he served as an Assistant Project Scientist at the University of California, Irvine, and as Visiting Astronomer at the Observatories of the Carnegie Institution for Science. In 2007, he held joint appointments as an adjunct professor at the University of Arkansas, Fayetteville, and as Assistant Professor of Physics and Astronomy at University of Arkansas at Little Rock, where he worked his way through the academic ranks. In 2014, he joined the University of Minnesota Duluth as a Professor of Physics and Astronomy, and served there until 2021. Currently, he holds appointment as a professor in the Department of Physics and Astronomy at the University of Toledo. Seigar also held administrative appointments in his career. He was appointed as head of the Department of Physics and Astronomy at the University of Minnesota Duluth from 2014 until 2017, and as associate dean at Swenson College of Science and Engineering from 2017 until 2020. He also held an appointment as a Program Director in the Division of Astronomical Sciences at National Science Foundation for a year. As of 2021, he is the dean of the College of Natural Scien
https://en.wikipedia.org/wiki/Tianxin%20Cai	Cai Tianxin (, born March 3, 1963, in Taizhou, Zhejiang) is a Chinese mathematician, poet and essayist noted for his books Mathematical Legends, A Brief History of Mathematics, Mathematics an Arts, A Modern Introduction to Classical Number Theory, Little memory: my Childhood in Mao’s Time, etc. He is a professor in the Mathematical School of Zhejiang University. Early life and education Cai was born in Taizhou, Zhejiang Province. He spent his childhood around 7 villages and one small town in southeastern China. He gained bachelor (1982), master (1984) and doctorate (1987) degrees at Shandong University, and his doctoral advisor was Pan Chengdong (), whose supervisor got Ph.D. in University of Oxford under the direct of E. C. Titchmarch.  Cai became full professor in Hangzhou University in 1994, and full professor in Zhejiang University since 1998. Research interests Additive and multiplicative number theory, perfect numbers, congruence modulo integer power, Witten zeta values; history of mathematics, history of arts. Writing and Publications Cai has published more than 30 books of poetry, essays, travels, photograph, autobiography, popular mathematics and number theory. His work has been translated into more than 20 languages, and he has published more than 20 books worldwide. He has translated or edited 8 volumes of modern world poetry. He was selected by Herinrich and Jane Ledig-Rowohlt Foundation as a resident writer at the Chateau de Lavigny, Switzerland in 2007, a guest of the Arabic Capital of Culture in Baghdad, Iraq in 2014, and participated the International Writing Program in Iowa, USA in 2018. Books English Song of the quiet life, translated by Robert Berold and Cai Tianxin, Deep South, South Africa, 2005. Every Cloud Has Its Own Name, translated by Robert Berold and Cai Tianxin, 1-plus, San Francisco, 2017. The Book of Numbers, World Scientific, Singapore, 2018. A Modern Introduction to Classical Number Theory, World Scientific, Singapore, 2018. Perfect Numbers and Fibonacci Sequences, translated by Tyer Ross, World Scientific, Singapore, 2022. A Brief History of Mathematics, translated by Tyer Ross, to appear in Springer Nature, New York. Awards and honors Naji Naaman Literary Prize for Poetry, Beirut, 2013 China’s National Science and Technology Award, Beijing, 2018 Kathak Literary Award for Poetry, Dakar, 2019 Dang Dang Award for Influential Writer, Beijing, 2022 References 1963 births Living people Shandong University alumni Chinese mathematicians Chinese poets Academic staff of Zhejiang University
https://en.wikipedia.org/wiki/2020%E2%80%9321%20NBB%20season	The 2020–21 NBB season was the 13th season of the Novo Basquete Brasil (NBB), the highest level basketball league in Brazil. Team changes Regular season Source: NBB Playoffs Statistics Individual statistical leaders Leaders after the regular season. References Novo Basquete Brasil seasons 2021–22 in basketball leagues
https://en.wikipedia.org/wiki/List%20of%20PAS%20Giannina%20F.C.%20records%20and%20statistics	This is a list of records and statistics related to the Greek association football Club PAS Giannina F.C. Player records and statistics Most Valuable Players European competitions record During the 2016–17 season, PAS Giannina competed on the UEFA Europa League qualifying rounds for the first time in the club's history. PAS Giannina finished 6th on the 2015–16 Super League Greece, which enabled him to participate, on the Second qualifying round. PAS Giannina first european game On the 21st of July 2016, PAS Giannina faced Odds BK in a full Zosimades Stadium with a total attendance of 5.615 spectators and a one of a kind atmosphere created by the fans, who completed a legendary pre game parade towards the stadium, with thousands of fans and hooligans loudly signing chants. Players were greeted into the stadium by an unprecedented atmosphere which could be heard throughout the whole locality. PAS Giannina captain Alexios Michail opened the score from inside the box after a corner kick taken by Noé Acosta on the 7th minute. PAS Giannina had total control of the game, and in the 31st minute Fonsi Nadales doubled his team lead with a great volley after a perfectly executed cross by Nikos Karanikas. On the second half, the goalkeeper Alexandros Paschalakis with a presice volley across the whole length of the pitch, spotted Dimitrios Ferfelis who took advantage of the opposition's defenders error and sprinted towards goal with Acosta trailing. Ferfelis' shot got blockeded by the goalkeeper, who couldn't handle the ball, and got served for Noé Acosta who scored to form the final score. On the 2nd leg, about 500 PAS Giannina fans traveled to Norway to support their team. The away side managed to concede no goals on the first half, but conceded 3 goals on the second half, and the game was led to extra time. However, the Epirus side managed to score after a remarkable dribble fooling the opposition defenders from Christopher Maboulou, who let the ball pass beside him after a pass from Karanikas, to reach Leonardo Koutris who beat the goalkeeper, and formed the final score of 3-1 after extra time, and eventually led PAS Giannina to the Third qualifying round for the first time in the club's history. Balkans Cup Honours and distinctions Over the years, PAS has competed in the Super League for a total of 25 seasons (plus 2020–21). The club has never won the Super League or the Greek Cup, but it has won lower division titles throughout its history and represented Greece in the 1979–80 and 1993–94 Balkans Cup tournaments. During its history in the Super League, the club finished 3 times in the 5th position (1975–76, 1977–78, 2012–13 seasons) and 3 times in the 6th position (1979–80, 2014–15, 2015–16 seasons). On January 31, 2007, PAS clinched a spot in the Greek Cup semifinals by virtue of an extra-time goal from Evangelos Kontogoulidis before a hostile crowd in Karaiskakis Stadium. With an aggregate score of 3–2, PAS Giannina also is the first ever
https://en.wikipedia.org/wiki/Tingwen%20Huang	Tingwen Huang (), a Fellow of The World Academy of Sciences (TWAS) and a Member of the European Academy of Sciences and Arts. He received his B.S. degree in Mathematics from Southwest University, China, in 1990, an M.S. degree in Mathematics from Sichuan University in 1993, and his Doctoral degree in Applied Mathematics at Texas A&M University in 2002. Huang's main research areas are dynamics of nonlinear systems including neural networks, computational intelligence, intelligent control, optimization and smart grids. His research papers were cited for more than 30,000 times as of October 2022 according to Google Scholar. He was named a Highly Cited Researcher in 2018, 2019 and 2020 by Clarivate's (formerly Thomson Reuters) Web of Science. Huang received the Best Research Project Award from Qatar National Research Fund, and Faculty Research Excellence Award from Texas A&M University at Qatar, Qatar in 2015. Huang was elected as an IEEE Fellow in 2018 for his contributions to dynamics of neural networks, and awarded Changjiang Scholar (Chair Professor), the highest honor conferred by Ministry of Education of China in 2019. In 2021, he received the Outstanding Achievement Award from Asia Pacific Neural Networks Society, was elected as a Distinguished Lecturer of IEEE Computational Intelligence Society (2022-2024), an Academician of the International Academy for Systems and Cybernetic Sciences (IASCYS), a Fellow of Asia-Pacific Artificial Intelligence Association (AAIA), and a Member of the European Academy of Sciences and Arts. In 2022, Huang was elected as a Fellow of the International Association for Pattern Recognition (IAPR). He was conferred Dean’s Achievement Award by Texas A&M University at Qatar, and The Association of Former Students Distinguished Achievement Award for Research, one of the highest honors the university can bestow upon a faculty member by Texas A&M University in College Station, Texas, USA. References Living people Southwest University alumni Sichuan University alumni Texas A&M University faculty Texas A&M University alumni Year of birth missing (living people)
https://en.wikipedia.org/wiki/List%20of%20largest%20local%20police%20departments%20in%20the%20United%20States	This is a list of the largest local police departments in the United States as defined by the Bureau of Justice Statistics, by numbers of full-time sworn personnel. References Law enforcement in the United States Law enforcement agencies of the United States Lists of law enforcement agencies
https://en.wikipedia.org/wiki/Archiv%20for%20Mathematik%20og%20Naturvidenskab	The Archiv for Mathematik og Naturvidenskab (translated: Archive of mathematics and natural science) was a scientific journal published in Oslo. Its first issue appeared in 1876, and was edited by the mathematician Sophus Lie, the physician , and the biologist Georg Ossian Sars, and published by Albert Cammermeyer. The last issue appeared in 1961. Lie published his work on transformation groups (now called Lie groups) in the 1876 volume (p.19-57, 152-193). References Multilingual journals Publications established in 1876 Publications disestablished in 1961 Multidisciplinary scientific journals
https://en.wikipedia.org/wiki/Mary%20Beth%20Landrum	Mary Elizabeth Landrum is a British-American statistician specializing in biostatistics, examining health services and the quality of health care delivery. She is a professor in the Department of Health Care Policy of the Harvard Medical School. Education and career Landrum is originally from London. She majored in chemical engineering at the Massachusetts Institute of Technology, graduating in 1987, and then studied biostatistics at the University of Michigan, earning a master's degree in 1992 and completing her Ph.D. in 1995. After postdoctoral research in the Department of Health Care Policy of the Harvard Medical School, she was hired by the department as an assistant professor in 1998. She was promoted to associate professor in 2005 and full professor in 2012. Landrum's research focus is on the development and application of statistical methodology for health services research. She studies health care delivery, specifically examining the impact of provider characteristics on quality of care when providers are measured on more than one dimension of care. Recognition In 2015, Landrum was named a Fellow of the American Statistical Association. References External links Year of birth missing (living people) Living people American statisticians American women statisticians Massachusetts Institute of Technology alumni University of Michigan alumni Harvard Medical School faculty Fellows of the American Statistical Association
https://en.wikipedia.org/wiki/Tapering	Tapering may refer to: Tapering (economics), reduction of the quantitative easing program in the US Tapering (mathematics), a type of shape transformation Tapering (medicine), reduction in medicine dose over time Opioid tapering, reduction in opioid dose over time Tapering (signal processing) Tapering (sports), reducing exercise in the days just before a competition
https://en.wikipedia.org/wiki/Carl-Erik%20S%C3%A4rndal	Carl-Erik Särndal (born 1937) is a Swedish-Canadian statistician. specializing in survey statistics. He held professorial appointments at Umeå University; University of British Columbia, Université de Montréal, and Statistics Sweden, Stockholm. He specialized in survey theory and methodology, especially with applications to official statistics production for a country. He worked, periodically, as researcher, expert and/or consultant, at national statistical agencies: Statistics Canada (Ottawa), Statistics Sweden (Stockholm) and Statistics Finland (Helsinki). Education and professional years Carl-Erik Särndal grew up in Sweden. He attended Lund University, where he earned a Bachelor of Science degree (1957), a PhD degree in statistics (1962). He was a professor at the Department of Statistics, Umeå University, Sweden, 1967–1970; Division of Management Science, Faculty of Commerce & Business Administration, University of British Columbia, Vancouver, 1970–1980; Département de mathématiques et de statistique, Université de Montréal, 1980–1997; Statistics Sweden, 1997–2002. Research Model assisted design-based inference; uses of auxiliary information in estimation; generalized regression (GREG) estimation; calibration weighting, in particular for survey nonresponse; critical examination of the probability sampling paradigm. Honours and awards Fellow, American Statistical Association, 1973. Honorary member, Finnish Statistical Society, 1995. Honorary doctor's degree (filosofie hedersdoktor), Örebro University, Sweden, 2000. Honorary Member, Statistical Society of Canada, 2002. Waksberg Award, by American Statistical Association and Statistics Canada, to prominent survey methodology statistician, 2007. Jerzy Neyman Medal, Polish Statistical Association, 2018. Honorary doctor's degree, Université de Neuchâtel, Switzerland, 2022. Select bibliography Books C.M. Cassel, C.E. Särndal, J. Wretman (1977), Foundations of Inference in Survey Sampling. New York: Wiley, 192 pp. C.E. Särndal, B. Swensson, J. Wretman (1992), Model Assisted Survey Sampling. New York: Springer-Verlag, 695 pp, in paperback 2003. C.E. Särndal, S. Lundström (2005), Estimation in Surveys with Nonresponse. New York: Wiley, 212 pp. Selected articles C.M. Cassel, C.E. Särndal and J.H. Wretman (1976), Some results on generalized difference estimation and generalized regression estimation for finite populations. Biometrika, 63, 615- 620. J.C. Deville, C.E. Särndal (1992), Calibration estimators in survey sampling. Journal of the American Statistical Association, 87, 376–382. C.E. Särndal (2007). The calibration approach in survey theory and practice. Survey Methodology Journal, 33(2), 99–119. Further reading R. Platek and C.E. Särndal (2001). Can a statistician deliver? Journal of Official Statistics, 17(1), 1–127, with discussions and rejoinder. P.S. Kott (2005). An interview with the authors of Model Assisted Survey Sampling. Journal of Official Statistics, 21(2), 171–182. D. De
https://en.wikipedia.org/wiki/Synergy%20%28video%20game%20company%29	Synergy Inc., which went by the trade name Synergy Geometry Co., Ltd., was a Japanese video game developer and publisher headquartered in Shinjuku-ku, Tokyo. The company is best known for its point-and-click adventure games, which employed pre-rendered 3D computer graphics, including Alice: An Interactive Museum (1991) and Gadget: Invention, Travel & Adventure (1993), both of which were designed by Haruhiko Shono. The company also had an American branch named Synergy Interactive Co., based in San Mateo, California, which focused on video game localization, publishing and marketing for western audiences. List of games Cancelled projects Underworld: The Sands of Time Underworld: The Sands of Time, originally announced under the tentative title of The Underground, was a point-and-click interactive movie directed by Haruhiko Shono, following the development of Gadget: Past as Future. A roughly 5 minute sneak peek for the game was included in Preview & Reprise, an interactive CD-ROM released on November 27, 1997. Woodcutters from Fiery Ships Woodcutters from Fiery Ships was announced in early 1998 as a collaboration between Synergy Inc. and David Lynch's interactive company SubStation, with a tentative release window of Fall 1999. In the press release, Lynch said: "I saw the work that Synergy did on Gadget – the way that the game delivered an immersive experience to the user. By collaborating with Synergy, I look forward to Woodcutters From Fiery Ships expanding existing forms in terms of story, characters and environment. I hope we will give people totally unexpected experiences." In a November 1999 interview with The Guardian, stated that the project was "blocked from the get-go", as it was going to be "completely boring to game buffs". Notes References Video game companies of Japan Video game development companies Video game publishers Video game companies established in 1986 Japanese companies established in 1986
https://en.wikipedia.org/wiki/John%20P.%20Vinti	John Pascal Vinti (January 16, 1907, Newport, Rhode Island – September 28, 1990, Boston) was an American theoretical physicist, who published papers not only in physics, but also in mathematics and engineering. He is known for the Vinti integral. Biography His father, Giovanni Giuseppe Vinti (1885–1959), was born in Naples, Italy. In 1922 John P. Vinti graduated from Rogers High School in Newport, Rhode Island. At his high school graduation, he was honored with a prize in scholarship and a prize in mathematics. At age 15 Vinti matriculated at Massachusetts Institute of Technology (MIT). There he graduated with a bachelor's degree in mathematics in 1927 and a Ph.D. in physics in 1932. His thesis Ph.D. thesis is entitled Variational calculation of atomic wave functions. As a postdoc he worked at the University of Pennsylvania from 1932 to 1934 on helium's absorption spectrum. He was from 1934 to 1935 an assistant at MIT, from 1936 to 1937 an instructor at Brown University, from 1937 to 1938 an assistant professor at The Citadel, and from 1939 to 1941 an instructor at Worcester Polytechnic Institute. In 1941 he joined the physics staff of the Ballistics Research Laboratory at Maryland's Aberdeen Proving Ground. There he became chief of the Interior Ballistics Theory Section and a senior physicist (as of 1945). At Aberdeen he developed a keen interest in celestial mechanics and "a close professional relationship with John von Neumann and Maria Goeppert-Mayer." Later in his career, Vinti taught and did research at MIT as a professor in the department of aeronautics and astronautics in the 1970s and 1980s. Lecture notes that Vinti used in a course that he taught in 1966 at the Catholic University of America and later at MIT were posthumously published in 1998 as the book Orbital and Celestial Mechanics, edited by Gim J. Der and Nino L. Bonavito. According to Der and Bonavito, Vinti's spheroidal method was "many years ahead of its time" and "predicts position and velocity vectors for satellites and ballistic missiles almost as accurately as numerical integration." He was elected in 1936 a Fellow of the American Physical Society. Upon his death, John P. Vinti was survived by his sisters, Helena (1908–1995) and Anna (1911–2001), and their children. His nephew Jack Edmonston was his executor and was entrusted with the publication of Orbital and Celestial Mechanics. John P. Vinti is buried in Newton Cemetery in Newton, Massachusetts. Selected publications 1971 References 1907 births 1990 deaths 20th-century American physicists Applied mathematicians Ballistics experts Mathematical physicists PDE theorists Theoretical physicists Variational analysts Massachusetts Institute of Technology alumni Massachusetts Institute of Technology faculty Fellows of the American Physical Society American people of Italian descent People from Newport, Rhode Island
https://en.wikipedia.org/wiki/Grahams%20Beach	Grahams Beach is a rural settlement on the northern tip of the Āwhitu Peninsula and south coast of the Manukau Harbour in the Auckland Region of New Zealand. The settlement as defined by Statistics New Zealand also includes Big Bay and Orua Bay. Once known as Graham's Beach, it was on a ferry route between Waiuku and Onehunga in 1895. A wharf was built in about 1903. A primary school opened at Orua Bay in 1896, and another flourished in Graham's Beach around 1927. Both schools closed in 1949 when rural schools in the area were consolidated to Awhitu District School. Demographics Statistics New Zealand describes Grahams Beach as a rural settlement, which covers . Grahams Beach is part of the larger Āwhitu statistical area. Grahams Beach had a population of 135 at the 2018 New Zealand census, a decrease of 6 people (−4.3%) since the 2013 census, and a decrease of 15 people (−10.0%) since the 2006 census. There were 66 households, comprising 72 males and 66 females, giving a sex ratio of 1.09 males per female, with 18 people (13.3%) aged under 15 years, 12 (8.9%) aged 15 to 29, 63 (46.7%) aged 30 to 64, and 45 (33.3%) aged 65 or older. Ethnicities were 95.6% European/Pākehā, 8.9% Māori, 2.2% Pacific peoples, 2.2% Asian, and 4.4% other ethnicities. People may identify with more than one ethnicity. Although some people chose not to answer the census's question about religious affiliation, 55.6% had no religion and 33.3% were Christian. Of those at least 15 years old, 12 (10.3%) people had a bachelor's or higher degree, and 27 (23.1%) people had no formal qualifications. 9 people (7.7%) earned over $70,000 compared to 17.2% nationally. The employment status of those at least 15 was that 36 (30.8%) people were employed full-time, and 15 (12.8%) were part-time. Notes Populated places around the Manukau Harbour Populated places in the Auckland Region
https://en.wikipedia.org/wiki/Ajdar%20Aliyev	Ajdar Ajdar oghlu Aliyev (; born 1937) was an Azerbaijani statesman, Chairman of the Azerbaijan State Statistics Committee (1989–1993), Minister of Construction of the Azerbaijan SSR (1986–1989), Minister of Industrial Construction of the Azerbaijan SSR (1983–1986). Biography Ajdar Aliyev was born in 1937. He graduated from the Azerbaijan Institute of Oil and Chemistry. He started his career in 1959 as a technician at the Designing Institute of Azerbaijan State Oil Industry Enterprises ("Azerneftdovlatlayiha"), and became the foreman of the Krasnoyarsk Construction Department of the "Sibtexqurdashdirma" Trust. Then, for seven years, he worked in Sumgayit and Baku (department No. 3) installation departments of the Azerbaijan Petrochemical Installation Trust in various engineering and technical positions, and from 1967 he worked as the deputy head of the Department of Installation and Special Construction Works of the Council of Ministers of the Azerbaijan SSR. Ajdar Aliyev had been the Deputy Minister of Industrial Construction of Azerbaijan SSR since 1970, Minister of Industrial Construction since 1983, and Minister of Construction since 1986. Since 1989, he had been the chairman of the State Statistics Committee of Azerbaijan. Ajdar Aliyev had been a member of the CPSU since 1967. Elected deputy of the 11th convocation of the Supreme Soviet of the Azerbaijan SSR. He was awarded the "Badge of Honour" order. References 1937 births Living people Azerbaijan Communist Party (1920) politicians Azerbaijan State Oil and Industry University alumni
https://en.wikipedia.org/wiki/List%20of%20JS%20Saoura%20records%20and%20statistics	This list includes the major honours won by JS Saoura and all-time statistics and records set by the club, its players and its coaches. The players section includes the club's top goalscorers and those who have made most appearances in first-team competitive matches. It also displays international achievements by players representing JS Saoura, and the highest transfer fees paid and received by the club. Players Appearances Most appearances: Mohamed El Amine Hammia – 219 (2014–present); Most appearances in a season: Belaid Hamidi (2021–22) – 43; Most league appearances: Mohamed El Amine Hammia – 188 (2014–present); Most Algerian Cup appearances: Nabil Bousmaha – 10 (2012–18); Most african Cup appearances: Mohamed El Amine Hammia – 20 (2014–present); Most league appearances by a non-Algerian player: Jean-Jules Bapidi – 88 (2014–2018); Youngest debutant: Youngest starter in the league: Youngest league debutant: Islam Ben Yezli – 17 years, 10 months and 16 days (against NC Magra, 2020–21 Algerian Ligue Professionnelle 1, 30 May 2021); Youngest debutant in the African Cup / CAF Champions League: Messala Merbah – 22 years, 6 months and 18 days (against Enugu Rangers, 2017 CAF Champions League preliminary round, first leg, 10 February 2017); Youngest captain in the African Cup / CAF Champions League: Youngest debutant in a CAF competition: Marwane Khelif – 21 years, 8 months and 8 days (against ASAC Concorde, 2021–22 CAF Confederation Cup second round, first leg, 16 October 2021); Most appearances Competitive matches only, includes appearances as used substitute. Numbers in brackets indicate goals scored.{{refn\|group=note\|name=appearances\|The statistics of all the games except 2019–20 Arab Club Champions Cup Preliminary round.Statistics correct as of game against RC Arbaâ on June 11, 2022.}} 1 Includes the Super Cup, League Cup and UAFA Club Cup. 2 Includes the Confederation Cup and Champions League. Goalscorers Most goals: 35 – Moustapha Djallit; Most league goals: 34 – Moustapha Djallit; Most goals in international club competitions: 5 – Mohamed El Amine Hammia; Most goals in international club competitions in a season: 4 – Aimen Lahmeri; Youngest league scorer: Islam Ben Yezli – 18 years and 6 months (4–1 against Paradou AC, 2021–22 Algerian Ligue Professionnelle 1, 16 January 2022). Youngest hat-trick scorer: Billel Messaoudi – 22 years, 4 months and 2 days (5–0 against Volcan Club, 2019–20 Arab Club Champions Cup, 19 August 2019). Top goalscorers in all competitions Matches played (including as used substitute) appear in brackets. 1 Includes the Super Cup, League Cup and UAFA Club Cup. 2 Includes the Confederation Cup and Champions League. Top goalscorers in international club competitions Matches played (including as substitute) appear in brackets''. Transfers Management Coaches Most matches: 54 – Karim Khouda; Most matches in international club competitions: Club Matches Most official matches in a season: 44 (2021–22); Be
https://en.wikipedia.org/wiki/The%20Applicability%20of%20Mathematics%20in%20Science%3A%20Indispensability%20and%20Ontology	The Applicability of Mathematics in Science: Indispensability and Ontology is a 2012 book on the philosophy of mathematics by Sorin Bangu. It argues for an improved form of indispensability argument based on a Quinean-inspired naturalism and confirmational holism, as well as a position he calls "posit realism". It also explores the applications of mathematics in scientific discovery and explanation. References Mathematics books Books about philosophy of mathematics
https://en.wikipedia.org/wiki/Madhav%20V.%20Nori	Madhav Vithal Nori is an Indian mathematician. In 1980 he has received the INSA Medal for Young Scientists. Career Nori was awarded his PhD in mathematics in 1981 from the University of Mumbai. He studies within the fields of algebraic geometry and commutative algebra. His areas of interest in research focus on algebraic cycles, K-theory, Hodge theory, Galois theory, and their interactions. Nori received the INSA Medal for Young Scientists in 1980 and is an elected Fellow of the Indian Academy of Sciences, Bangalore. The fundamental group scheme Under the direction of Conjeerveram S. Seshadri Nori proved the existence of the fundamental group scheme during his PhD work, using the theory of essentially finite vector bundles that he defined. The fundamental group scheme is also known as Nori fundamental group scheme, taking the name by his creator, and often also denoted as , where stands for Nori. There is a special family of vector bundles called Nori-semistable vector bundles in Nori's honor as he had the first intuition for their existence and properties. His construction has been since then further generalized, for istance a proof of the existence of the fundamental group scheme for schemes defined over Dedekind schemes has been provided by Marco Antei, Michel Emsalem and Carlo Gasbarri. References 20th-century Indian mathematicians 21st-century Indian mathematicians Living people University of Mumbai alumni Year of birth missing (living people)
https://en.wikipedia.org/wiki/Nori-semistable%20vector%20bundle	In mathematics, a Nori semistable vector bundle is a particular type of vector bundle whose first definition has been first implicitly suggested by Madhav V. Nori, as one of the main ingredients for the construction of the fundamental group scheme. The original definition given by Nori was obviously not called Nori semistable. Also, Nori's definition was different from the one suggested nowadays. The category of Nori semistable vector bundles contains the Tannakian category of essentially finite vector bundles, whose naturally associated group scheme is the fundamental group scheme . Definition Let be a scheme over a field and a vector bundle on . It is said that is Nori semistable if for any smooth and proper curve over and any morphism the pull back is semistable of degree 0. Difference with Nori's original definition Nori semistable vector bundles were called by Nori semistable causing a lot of confusion with the already existing definition of semistable vector bundles. More importantly Nori simply said that the restriction of to any curve in had to be semistable of degree 0. Then for instance in positive characteristic a morphism like the Frobenius morphism was not included in Nori's original definition. The importance of including it is that the above definition makes the category of Nori semistable vector bundles tannakian and the group scheme associated to it is the -fundamental group scheme . Instead, Nori's original definition didn't give rise to a Tannakian category but only to an abelian category. Notes Scheme theory Topological methods of algebraic geometry
https://en.wikipedia.org/wiki/Jean%20Jacques%20Bret	Jean Jacques Bret (25 September 1781 – 29 January 1819) was a French professor of mathematics at the University of Grenoble. He worked on analytical geometry, polynomial roots, and the theory of conics and quadrics. Bret was born in Mercuriol, Drôme, where his father was a notary. He went to study civil engineering at the École Polytechnique in 1800 but was unable to complete studies due to poor health. In 1804 he became a professor of mathematics at the lycée in Grenoble. In 1811 he became a professor at the faculty of science at the University of Grenoble and received a doctorate in 1812. Bret's work was in coordinate geometry, both on the plane and in 3-dimensions. He was among the first to use a parametric form for the line in space. Bret suggested a rule for the superior limits of the roots of polynomial in 1815. The rule has been stated as: "if we add to unity a series of fractions whose numerators are the successive negative coefficients, taken positively, and whose denominators are the sums of the positive coefficients, including that of the first term, the greatest of the resulting values will be a superior limit of the roots of the equation." He also contributed to the study of continued fractions. References 1781 births 1819 deaths French mathematicians
https://en.wikipedia.org/wiki/Equisingularity	In algebraic geometry, an equisingularity is, roughly, a family of singularities that are not non-equivalent and is an important notion in singularity theory. There is no universal definition of equisingularity but Zariki's equisingularity is the most famous one. Zariski's equisingualrity, introduced in 1971 under the name " algebro-geometric equisingularity", gives a stratification that is different from the usual Whitney stratification on a real or complex algebraic variety. See also stratified space References Further reading https://mathoverflow.net/questions/299314/a-general-definition-of-an-equisingular-family-of-singular-varieties algebraic geometry
https://en.wikipedia.org/wiki/Tame%20topology	In mathematics, a tame topology is a hypothetical topology proposed by Alexander Grothendieck in his research program Esquisse d’un programme under the French name topologie modérée (moderate topology). It is a topology in which the theory of dévissage can be applied to stratified structures such as semialgebraic or semianalytic sets. Some authors consider an o-minimal structure to be a candidate for realizing tame topology in the real case. There are also some other suggestions. See also Thom's first isotopy lemma References External links https://ncatlab.org/nlab/show/tame+topology Algebraic analysis Geometry education Stratifications Topology
https://en.wikipedia.org/wiki/Thomas%20Bloom	Thomas F. Bloom is a mathematician, who is a Royal Society University Research Fellow at the University of Oxford. He works in arithmetic combinatorics and analytic number theory. Education and career Thomas did his undergraduate degree in Mathematics and Philosophy at Merton College, Oxford. He then went on to do his PhD in mathematics at the University of Bristol under the supervision of Trevor Wooley. After finishing his PhD, he was a Heilbronn Research Fellow at the University of Bristol. In 2018, he became a postdoctoral research fellow at the University of Cambridge with Timothy Gowers. In 2021, he joined the University of Oxford as a Research Fellow. Research In July 2020, Bloom and Sisask proved that any set such that diverges must contain arithmetic progressions of length 3. This is the first non-trivial case of a conjecture of Erdős postulating that any such set must in fact contain arbitrarily long arithmetic progressions. In November 2020, in joint work with James Maynard, he improved the best-known bound for square-difference-free sets, showing that a set with no square difference has size at most for some . In December 2021, he proved that any set of positive upper density contains a finite such that . This answered a question of Erdős and Graham. References Year of birth missing (living people) Living people Royal Society University Research Fellows British mathematicians Alumni of Merton College, Oxford Alumni of the University of Bristol
https://en.wikipedia.org/wiki/Simple%20homotopy%20theory	In mathematics, simple homotopy theory is a homotopy theory (a branch of algebraic topology) that concerns with the simple-homotopy type of a space. It was originated by Whitehead in his 1950 paper "Simple homotopy types". See also Whitehead torsion References Further reading A lecture by J. Lurie. Homotopy theory Equivalence (mathematics)
https://en.wikipedia.org/wiki/Thom%27s%20second%20isotopy%20lemma	In mathematics, especially in differential topology, Thom's second isotopy lemma is a family version of Thom's first isotopy lemma; i.e., it states a family of maps between Whitney stratified spaces is locally trivial when it is a Thom mapping. Like the first isotopy lemma, the lemma was introduced by René Thom. gives a sketch of the proof. gives a simplified proof. Like the first isotopy lemma, the lemma also holds for the stratification with Bekka's condition (C), which is weaker than Whitney's condition (B). Thom mapping Let be a smooth map between smooth manifolds and submanifolds such that both have differential of constant rank. Then Thom's condition is said to hold if for each sequence in X converging to a point y in Y and such that converging to a plane in the Grassmannian, we have Let be Whitney stratified closed subsets and maps to some smooth manifold Z such that is a map over Z; i.e., and . Then is called a Thom mapping if the following conditions hold: are proper. is a submersion on each stratum of . For each stratum X of S, lies in a stratum Y of and is a submersion. Thom's condition holds for each pair of strata of . Then Thom's second isotopy lemma says that a Thom mapping is locally trivial over Z; i.e., each point z of Z has a neighborhood U with homeomorphisms over U such that . See also References Differential topology Lemmas Stratifications
https://en.wikipedia.org/wiki/Census%20of%20Sri%20Lanka	The Census of Sri Lanka is a census held by the Sri Lankan Department of Census and Statistics, traditionally taking place every 10 years. The first census of Sri Lanka was taken in 1871, making it the first country in South Asia to conduct a census. The most recent census took place in 2012, the first complete census in the country since 1981 due to disruptions from the Sri Lankan Civil War. History The first census in Sri Lanka was held on 27 March 1871 and conducted by the Registrar General's Office, making it the first of any country in South Asia. It was conducted from then on every ten years. The Census Department was created on 1 December 1944 for taking the Census of 1946, which was postponed from 1941 due to World War II. The Soulbury Constitution of 1947 combined the Department with the Statistics Department to create the Department of Census and Statistics. The 1951 census was postponed to 1953 due to a shortage of paper, and the following was also postponed to 1963. The 1991 census was not held due to the Sri Lankan Civil War (1983–2009), with areas in the Northern and Eastern Provinces controlled by the Tamil militant LTTE. The subsequent 2001 census covered 94% of the country, with no coverage in the Jaffna, Kilinochchi, and Mullaitivu Districts, and only partial coverage in the Vavuniya, Mannar, Batticaloa, and Trincomalee Districts. The following census was held in 2012. The 2021 census was postponed due to the COVID-19 pandemic, and is scheduled to take place in 2023 and 2024. References External links Sri Lanka census
https://en.wikipedia.org/wiki/Peter%20Adam%20Thrasher	Peter Adam Thrasher (1923 – 9 February 2018) was a British biographer and writer on population statistics. Thrasher was born in Plymouth, Devon and educated at Mutley College in Plymouth. From 1939 until 1957 he worked for the Admiralty and during 1957–1964 he was employed by the London County Council. During 1964–1966 he worked for the Department of the Environment. In 1966 he was appointed to the Greater London Council as a chartered civil engineer at the department of planning and transportation. His biography of the Corsican nationalist politician Pasquale Paoli was published in 1970. David Abram in The Rough Guide to Corsica called Thrasher's work the "best English-language biography of the great man" and that as an introduction to Paoli "it's hard to beat". His PhD thesis was titled "The diplomatic career of Pozzo di Borgo: envoy extraordinary of the Court of Russia and Russian Ambassador at Paris 1805–1835, Russian Ambassador at London 1835–1840" and was printed by Birkbeck, University of London in 1974. Trasher died in Poole on 9 February 2018, at the age of 94. Works Pasquale Paoli: An Enlightened Hero, 1725–1807 (London: Constable, 1970). Standard Statistical Sectors for Greater London, co-authored with Keith Crawford (London: Greater London Council, 1971). Notes 1923 births 2018 deaths 20th-century British biographers Writers from Plymouth, Devon
https://en.wikipedia.org/wiki/List%20of%20Long%20March%20launches%20%281970%E2%80%931979%29	This is a list of launches made by the Long March rocket family between 1970 and 1979. Launch statistics Rocket configurations Launch outcomes Launch history 1970–1974 \|} 1975–1979 \|} Sources Space program of the People's Republic of China Long March
https://en.wikipedia.org/wiki/List%20of%20Long%20March%20launches%20%281980%E2%80%931989%29	This is a list of launches made by the Long March rocket family between 1980 and 1989. Launch statistics Rocket configurations Launch outcomes Launch history 1980–1984 \|} 1985–1989 \|} Sources Space program of the People's Republic of China Long March
https://en.wikipedia.org/wiki/List%20of%20Long%20March%20launches%20%281990%E2%80%931999%29	This is a list of launches made by the Long March rocket family between 1990 and 1999. Launch statistics Rocket configurations Launch outcomes Launch history 1990 \|} 1991 \|} 1992 \|} 1993 \|} 1994 \|} 1995 \|} 1996 \|} 1997 \|} 1998 \|} 1999 \|} References Sources Space program of the People's Republic of China Long March
https://en.wikipedia.org/wiki/List%20of%20Long%20March%20launches%20%282000%E2%80%932009%29	This is a list of launches made by the Long March rocket family between 2000 and 2009. Launch statistics Rocket configurations Launch outcomes Launch history 2000 \|} 2001 \|} 2002 \|} 2003 \|} 2004 \|} 2005 \|} 2006 \|} 2007 \|} 2008 \|} 2009 \|} References Sources Space program of the People's Republic of China Long March
https://en.wikipedia.org/wiki/List%20of%20Long%20March%20launches%20%282020%E2%80%932029%29	This is a list of launches made by the Long March rocket family between 2020 and 2029. Launch statistics Rocket configurations Launch outcomes Launch history 2020 \|} 2021 \|} 2022 \|} 2023 \|} Future launches 2023 \|} 2024 \|} 2025 \|} 2026 \|} References Sources Space program of the People's Republic of China Long March
https://en.wikipedia.org/wiki/List%20of%20Long%20March%20launches%20%282010%E2%80%932019%29	This is a list of launches made by the Long March rocket family between 2010 and 2019. Launch statistics Rocket configurations Launch outcomes Launch history 2010 \|} 2011 \|} 2012 \|} 2013 \|} 2014 \|} 2015 \|} 2016 \|} 2017 \|} 2018 \|} 2019 \|} References Sources Space program of the People's Republic of China Long March
https://en.wikipedia.org/wiki/Mahlon%20Marsh%20Day	Mahlon Marsh Day (1913–1992) was an American mathematician, who specialized in functional analysis, geometry of linear spaces and amenable semigroups. Career In 1939 he graduated from Brown University. He became a member of the Institute for Advanced Study in the years 1939-40 and later in 1948–49. In most of his career, between the years 1940–83, he was a professor of mathematics in University of Illinois at Urbana-Champaign. In June 1983, a conference named "the Geometry of Normed Linear Spaces" was held in honor of Day at the University of Illinois at Urbana-Champaign. A proceedings issue to the conference was published in Contemporary Mathematics. In the preface for this proceedings issue, Day was described as "the first American mathematician to study normed spaces from a geometric standpoint". His monograph "Normed Linear Spaces" from 1973 is highly cited and considered to be classical in the field. In the field of amenable semigroups, his work under this name, is highly cited and considered fundamental to the field. He served as an editor of Illinois Journal of Mathematics in the years 1968-73 and 1981–85. Selected publications Day, M. M. (1957). Amenable semigroups. Illinois Journal of Mathematics, 1(4), 509–544. Day, M. M. (1973). Normed linear spaces. In Normed Linear Spaces (pp. 27–52). Springer, Berlin, Heidelberg. R. G. Bartle, N. T. Peck, A. L. Peressini, J. J. Uhl (Editors). Geometry of Normed Linear Spaces. Contemporary Mathematics. Volume: 52; 1986; 171 pp. Book front matter. References External links Mahlon M. Day Papers, 1934-93, University of Illinois Archives Profile at Institute for Advanced Study American mathematicians 1913 births 1992 deaths Brown University alumni University of Illinois faculty
https://en.wikipedia.org/wiki/N%C3%A9stor%20Otero	Néstor William Otero Carvajal (born 18 September 1955) is a Colombian football manager. Career Born in Cali, Otero studied mathematics at Universidad Santiago de Cali, earning him the nickname Matemático. Otero began his football coaching career with Deportes Tolima in 1999. In eighteen years managing Colombian professional football clubs, Otero has worked for a total of twelve teams (including two spells each at Deportivo Cali and Deportivo Pasto). Otero has led two clubs to runner's-up finishes in the Categoría Primera A (Pasto in 2002 and Atlético Huila in 2007). References 1955 births Living people Sportspeople from Cali Colombian football managers Categoría Primera A managers Deportes Tolima managers Deportivo Cali managers Deportivo Pasto managers Deportivo Pereira managers Real Cartagena managers Atlético Huila managers Deportes Quindío managers Cúcuta Deportivo managers Independiente Santa Fe managers La Equidad managers Colombian expatriate football managers Expatriate football managers in Peru Colombian expatriate sportspeople in Peru Águilas Doradas Rionegro managers
https://en.wikipedia.org/wiki/Boualem%20Khouider	Boualem Khouider is an Algerian-Canadian applied mathematician, climate scientist, academic, and author. He is a professor, and former Chair of Mathematics and Statistics at the University of Victoria. Khouider has published more than 100 papers with his most recognizable contributions being in the applied mathematics, atmospheric science, as well as climate modelling. He is the author of a book Models for Tropical Climate Dynamics: Waves, Clouds, and Precipitation, and is the editor of several edited volumes. He is also a Senior Fellow of Institute for Pure and Applied Mathematics (IPAM) at the University of California Los Angeles, a senior advisor of Center for Prototype Climate Models at NYU Abu-Dhabi Institute, and holds editorial appointments as an Editor for Mathematics of Climate and Weather Forecasting, and as Associate Editor for AIMS Mathematics, Education Khouider received a "High studies diploma" (DES) in Mathematical Analysis of Partial Differential Equations from the University of Sciences and Technology Houari Boumedienne in 1990. He then enrolled at University of Montreal, and earned his Master's and doctoral degrees in Applied Mathematics in 1997 and 2002, respectively. Career Khouider began his academic career as an Assistant Lecturer at Ecole Nationale Polytechnique in 1990, and was subsequently appointed as an Assistant Lecturer at the University of Sciences and Technology Houari Boumedienne from 1992 until 1994. During this time period, he also held concurrent appointments as lecturer at Ecole Nationale Naval, and Institut National de Formation en Batiment. In 1995, he held a brief appointment as lecturer at Ecole Militaire Polytechnique, before being appointed by the University of Montreal as a Teaching Assistant, and by Center of Research on Applied Computations (Cerca) as a Research Assistant from 1996 to 2000. Following this, he was appointed as a Research Associate in Courant Institute of Mathematical Sciences at New York University until 2003. He held his next appointment at the University of Victoria as Assistant Professor Mathematics and Statistics in 2003, and was promoted to associate professor in 2008, and to Full Professor in 2013. Khouider's contribution to the community includes his role as an organizer of the conferences and workshops, especially the ones in Banff and Oberwolfach. He has also conducted invited lectures and presentations at various professional institutions, including New York University, DongHua University, and the University of Sciences and Technology Houari Boumedienne. Research Khouider's work mainly focuses on applied mathematics, in particular in the fields of computational fluid dynamics, earth System modelling, sea-ice dynamics modelling, tropical meteorology, tropical extra-tropical interactions, organized convection and convectively coupled waves. His research work has been supported by numerous professional organizations, including Natural Sciences and Engineering Research Counc
https://en.wikipedia.org/wiki/England%20women%27s%20national%20football%20team%20all-time%20record	The following tables show the England women's national football team's all-time international record. The statistics are composed of FIFA Women's World Cup and UEFA Women's Championship matches, as well as numerous international friendly tournaments and matches. Following a UEFA recommendation in 1972 for national associations to incorporate the women's game, the Football Association (FA) rescinded its 50-year ban on women playing at English Football League grounds. Shortly after, Eric Worthington was tasked by the Women's Football Association (WFA) to assemble an official women's national team. England competed in its first officially recognised international match against Scotland in Greenock on 18 November 1972, 100 years to the month after the first men's international between the same two nations. England overturned a two-goal deficit to defeat Scotland opponents 3–2, with Sylvia Gore scoring England's first international goal. Prior to this, an English team had played a series of unofficial matches at the 1969 Coppa Europa per Nazioni, and the 1970 and 1971 editions of a "World Championships" held in Italy and Mexico respectively. None of the competitions were sanctioned by FIFA, UEFA, or national associations, and some were contested by club teams acting as de facto national teams. England have contested 464 matches against 53 different national teams. Of these teams, England have not lost to 31 of them, having earned a perfect 100% winning record against 23 of these teams. West Germany is the only team England has played at least one fixture against and never failed to beat having lost both games against them although England has beaten Germany, the team's successor following the reunification of Germany in 1990. Performances Last match updated on 31 October 2023 Performance by competition Performance by manager Competition records FIFA Women's World Cup UEFA Women's European Championship UEFA Women's Nations League Minor tournaments Head-to-head record Last match updated on 27 October 2023 Combined predecessor and successor records List of FIFA members who have never have played against England AFC CAF CONCACAF CONMEBOL OFC UEFA Notes References All-time record
https://en.wikipedia.org/wiki/Sawanih-i-Deccan	Sawānih-i-Deccan (News of Deccan) was a work was compiled by Munim Khan al-Hamdani al-Aurangabadi in 1197 A.H. ( 1782 A.D.). It is an unpublished manuscript in Persian and gives statistics of revenue accounts of the six subas of the Deccan with a historical account of the Asaf Jahis or Nizams of Hyderabad. Munim Khan was a military commander during the regime of Asaf Jah II. This work gave more insight about the regime of Asaf Jahis between 1724 A.D. and 1783 A.D. It also describes the administrative divisions and revenue of the Mughal Deccan during the last years of Aurangzeb's regime. A detailed list of Sarkars, Mahals (Parganas) and Villages along with their revenue was mentioned. The two manuscript copies of this work are preserved in Hyderabad. First one is in Andhra Pradesh State Archives under manuscript number 22 and second one is in Oriental Manuscript Library and Research, Institute. Other resources to know about the administration divisions during the Mughal rule and early Nizam rule were Dastūr-al-amal-e-shāhanshāhi (1781) by Munshī Thākur Lāl, and Deh-be-dehi (c.1705) by Md. Shafīq. See Also Hyderabad State Rajamundry Sarkar References 18th-century Indian books History of India Indian manuscripts Persian-language literature Islamic illuminated manuscripts
https://en.wikipedia.org/wiki/Islam%20in%20Bhutan	Islam is a very minor religion in Bhutan. There are around 5,000–7,000 Muslims in the country. Statistics There are around 550 Muslims in Bhutan date=September 2023}} Mosques There are currently no mosques in Bhutan, which makes it the only country, along with Monaco and Slovakia which doesn't have mosque. The current Muslim population of the country, along with other non-Buddhist religion, pray at a small prayer hall built in Jakar. In 2008, the Bhutan Muslim community built a mosque called the Jaigaon Mosque in Jaigaon, India, just across the Bhutan–India border. See also Religion in Bhutan References Bhutan Religion in Bhutan
https://en.wikipedia.org/wiki/Yukio%20Matsumoto	Yukio Matsumoto (, Matsumoto Yukio; * 1944) is a japanese mathematician, who worked mostly in the field of geometric topology and low-dimensional topology. He was a former professor for mathematics at the university of Tokyo. He received his Ph.D in 1973 from the university of Tokyo and his supervisor was Ichiro Tamura. In 1984 he won the Iyanaga Prize of the Mathematical Society of Japan. Selected publications Books Solo Joint References External links Curriculum Vitae Mathegenealogy 1969 births Living people 20th-century Japanese mathematicians 21st-century Japanese mathematicians
https://en.wikipedia.org/wiki/Alexa%20Beiser	Alexa S. Beiser is an American professor of biostatistics and public health researcher. Biography Beiser did her PhD in mathematics at Boston University, following her M.A. at the University of California, San Diego in Applied Mathematics and B.A. in Biology and Psychology from the University of California, Santa Cruz. She has worked at the Boston University School of Public Health since 1985, currently in the Framingham Heart Study (FHS) neurology group. Beiser co-developed the biostatistics doctoral program at Boston University. Research She has worked on areas such as risk factors for dementia, how stress affects memory, and how physical activity can improve health for people with diabetes. She currently leads the FHS neurology group data management team, with a focus of analysing data relating to dementia. Selected papers Plasma Homocysteine as a Risk Factor for Dementia and Alzheimer's Disease, N Engl J Med 2002; 346:476-483, Lifetime Risk for Development of Atrial Fibrillation, Circulation. 2004;110:1042–1046, Residual Lifetime Risk for Developing Hypertension in Middle-aged Women and Men, JAMA. 2002;287(8):1003-1010, Books co-authored Introductory Applied Biostatistics, Ralph B. D'Agostino Sr., Lisa M. Sullivan, Alexa Beiser, References Living people Year of birth missing (living people) Biostatisticians Boston University College of Arts and Sciences alumni Boston University School of Public Health faculty Public health researchers Dementia University of California, San Diego alumni University of California, Santa Cruz alumni
https://en.wikipedia.org/wiki/Standardization%20%28disambiguation%29	Standardization or standardisation is the process of implementing and developing technical standards. The term also has other senses: Standard score, in statistics, the number of standard deviations by which an observation differs from the mean Standard language, a language variety whose grammar and usage are codified Standardization of population numbers in demographics Standardization agreement, defining processes, procedures, terms, and conditions for common military or technical procedures or equipment between the member countries of the NATO alliance
https://en.wikipedia.org/wiki/Mario%20Fiorentini	Mario Fiorentini (7 November 1918 – 9 August 2022) was an Italian partisan, spy, mathematician, and academic, for years a professor of geometry at the University of Ferrara. He engaged in numerous partisan actions, including the assault on the entrance to the Regina Coeli prison and participating in the organization of the attack in via Rasella. He was Italy's most decorated World War II partisan. Biography Youth Fiorentini was born in Rome to Maria Moscatelli and Pacifico Fiorentini on 7 November 1918. His mother, a Catholic, moved to Rome from Cittaducale in search of work, like many other young people at the time; his father, who was Jewish, worked as an accountant and bankruptcy trustee. During the war As a student, Fiorentini collaborated clandestinely with Giustizia e Libertà and with the Communist Party. At the beginning of 1943, he set up with performances at Mazzini Theater and at Delle Arti with actors such as Vittorio Gassman, Lea Padovani, Nora Ricci, Vittorio Caprioli, Carlo Mazzarella, Alberto Bonucci and Ave Ninchi, directed by Luigi Squarzina, Adolfo Celi, and Mario Landi. Later he met , who became his partner. After 25 July 1943, with Antonello Trombadori, he formed a group of partisans known as Arditi del Popolo. On 9 September 1943, Fiorentini took part in the battle against the Germans at Porta San Paolo among the ranks of the members of the Action Party; in October he organized and placed himself in command of the central Patriotic Action Groups (GAP), in the IV operational area "Roma centro", taking the battle name of "John"; this formation, together with the GAP Carlo Pisacane, belonged to the partisan structure belonging to the network commanded by Carlo Salinari. A first GAP action, in which Mario Fiorentini, Rosario Bentivegna (Paolo) and Franco di Lernia (Pietro) took part, was organized to assassinate the Minister of the Interior of Salò Guido Buffarini Guidi and the hierarch Francesco Maria Barracu, intent on dining in a restaurant near Piazza Navona; the action was canceled at the last moment, when the commando was already in place (October 1943). On 31 October, Lucia Ottobrini was added to the three, with cover duties, for an action in Corso Vittorio Emanuele II. The Gappists killed three RSI soldiers, who came out of Palazzo Braschi, after following them almost to Piazza Venezia. His parents were arrested and taken to the military college of Palazzo Salviati, near the Regina Coeli prison during the Raid of the Ghetto of Rome on 16 October 1943, even though they lived outside the ghetto, in via Capo le Case. The two, along with hundreds of other people, were to have been loaded onto trains to be deported but she bribed a guard with the family jewels, thus managing to escape and take refuge with her sister. Mario likewise managed to elude capture that day. He had slept at his parents' home the night before and had bombs hidden under his bed, but was not found because the house was not searched; he escaped by
https://en.wikipedia.org/wiki/Faltings%27%20annihilator%20theorem	In abstract algebra (specifically commutative ring theory), Faltings' annihilator theorem states: given a finitely generated module M over a Noetherian commutative ring A and ideals I, J, the following are equivalent: for any , there is an ideal in A such that and annihilates the local cohomologies , provided either A has a dualizing complex or is a quotient of a regular ring. The theorem was first proved by Faltings in . References Abstract algebra Commutative algebra
https://en.wikipedia.org/wiki/P%C3%A1l%20R%C3%A9v%C3%A9sz	Pál Révész (6 June 1934 – 14 November 2022), anglicized as Pal Revesz, was a Hungarian mathematician known for his research in probability and mathematical statistics, including the mathematical foundations of the law of large numbers, theory of density estimation, and random walks. Education and career Révész was born in Budapest. He studied in the applied mathematics program at the Faculty of Science, Eötvös Loránd University and graduated there in 1957. Afterwards, he got a job at the Eötvös Loránd University's probability department, where he worked as an assistant professor. In 1964, he transferred to the Mathematical Research Institute of the Hungarian Academy of Sciences, where he started working as a scientific associate. In 1963, he defended his candidate's thesis in mathematics, and in 1969 he defended his academic doctoral thesis. He became a member of the Mathematical Committee of the Hungarian Academy of Sciences. He did a significant part of his scientific work here. He was elected a corresponding member of the Hungarian Academy of Sciences in 1982, and a full member in 1987. In 1985, he received a second position as a university professor at the Vienna University of Technology. He left the research institute in 1987, when he was appointed professor at the Institute of Mathematics of the Budapest University of Technology. In Vienna, he also headed the Department of Statistics and Probability, from where he retired in 1998. Between 1999 and 2005, he was the deputy chairman of the Mathematics Department. Meanwhile, he also worked in the Committee on International Relations. Révész became a member of the Academia Europaea in London in 1991. In addition to his academic duties, he also contributed to the management of several scientific societies: from 1983 to 1985 he was the president of the Bernoulli Society of the International Statistical Institute. Between 1995 and 1997, he held the position of acting president of the János Bolyai Mathematical Society. Academic research Révész's main research areas were probability and mathematical statistics. His results related to the so-called strong approximation of stochastic processes and the estimation of the probability density function are significant. He also dealt with statistical applications of the stochastic approximation method. He was the first to provide a method for estimating the regression function that is suitable for simultaneous estimation of all points of the function. He was a close collaborator of Paul Erdős. Honors and awards Révész received the State Award of the People's Republic of Hungary in 1978 for his achievements in probability, especially in the theory of stochastic processes and their practical application. He was an honorary professor at Carleton University and the University of Szeged. Bibliography References 1934 births 2022 deaths Eötvös Loránd University alumni 20th-century Hungarian mathematicians Academic staff of TU Wien Academic staff of the B
https://en.wikipedia.org/wiki/Wang%20algebra	In algebra and network theory, a Wang algebra is a commutative algebra , over a field or (more generally) a commutative unital ring, in which has two additional properties:(Rule i) For all elements x of , x + x = 0 (universal additive nilpotency of degree 1).(Rule ii) For all elements x of , xx = 0 (universal multiplicative nilpotency of degree 1). History and applications Rules (i) and (ii) were originally published by K. T. Wang (Wang Ki-Tung, 王季同) in 1934 as part of a method for analyzing electrical networks. From 1935 to 1940, several Chinese electrical engineering researchers published papers on the method. The original Wang algebra is the Grassman algebra over the finite field mod 2. At the 57th annual meeting of the American Mathematical Society, held on December 27–29, 1950, Raoul Bott and Richard Duffin introduced the concept of a Wang algebra in their abstract (number 144t) The Wang algebra of networks. They gave an interpretation of the Wang algebra as a particular type of Grassman algebra mod 2. In 1969 Wai-Kai Chen used the Wang algebra formulation to give a unification of several different techniques for generating the trees of a graph. The Wang algebra formulation has been used to systematically generate King-Altman directed graph patterns. Such patterns are useful in deriving rate equations in the theory of enzyme kinetics. According to Guo Jinhai, professor in the Institute for the History of Natural Sciences of the Chinese Academy of Sciences, Wang Ki Tung's pioneering method of analyzing electrical networks significantly promoted electrical engineering not only in China but in the rest of the world; the Wang algebra formulation is useful in electrical networks for solving problems involving topological methods, graph theory, and Hamiltonian cycles. Wang Algebra and the Spanning Trees of a Graph The Wang Rules for Finding all Spanning Trees of a Graph G For each node write the sum of all the edge-labels that meet that node. Leave out one node and take the product of the sums of labels for all the remaining nodes. Expand the product in 2. using the Wang algebra. The terms in the sum of the expansion obtained in 3. are in 1-1 correspondence with the spanning trees in the graph. References Algebra Electrical engineering Network theory
https://en.wikipedia.org/wiki/Laakso%20space	In mathematical analysis and metric geometry, Laakso spaces are a class of metric spaces which are fractal, in the sense that they have non-integer Hausdorff dimension, but that admit a notion of differential calculus. They are constructed as quotient spaces of where K is a Cantor set. Background Cheeger defined a notion of differentiability for real-valued functions on metric measure spaces which are doubling and satisfy a Poincaré inequality, generalizing the usual notion on Euclidean space and Riemannian manifolds. Spaces that satisfy these conditions include Carnot groups and other sub-Riemannian manifolds, but not classic fractals such as the Koch snowflake or the Sierpiński gasket. The question therefore arose whether spaces of fractional Hausdorff dimension can satisfy a Poincaré inequality. Bourdon and Pajot were the first to construct such spaces. Tomi J. Laakso gave a different construction which gave spaces with Hausdorff dimension any real number greater than 1. These examples are now known as Laakso spaces. Construction We describe a space with Hausdorff dimension . (For integer dimensions, Euclidean spaces satisfy the desired condition, and for any Hausdorff dimension in the interval , where is an integer, we can take the space .) Let be such that Then define K to be the Cantor set obtained by cutting out the middle portion of an interval and iterating that construction. In other words, K can be defined as the subset of containing 0 and 1 and satisfying The space will be a quotient of , where I is the unit interval and is given the metric induced from . To save on notation, we now assume that , so that K is the usual middle thirds Cantor set. The general construction is similar but more complicated. Recall that the middle thirds Cantor set consists of all points in whose ternary expansion consists of only 0's and 2's. Given a string of 0's and 2's, let be the subset of points of K consisting of points whose ternary expansion starts with . For example, Now let be a fraction in lowest terms. For every string a of 0's and 2's of length , and for every point , we identify with the point . We give the resulting quotient space the quotient metric: where each is identified with and the infimum is taken over all finite sequences of this form. In the general case, the numbers b (called wormhole levels) and their orders k are defined in a more complicated way so as to obtain a space with the right Hausdorff dimension, but the basic idea is the same. Properties is a doubling space and satisfies a -Poincaré inequality. does not have a bilipschitz embedding into any Euclidean space. References Metric spaces Metric geometry
https://en.wikipedia.org/wiki/Dual%20snub%2024-cell	In geometry, the dual snub 24-cell is a 144 vertex convex 4-polytope composed of 96 irregular cells. Each cell has faces of two kinds: 3 kites and 6 isosceles triangles. The polytope has a total of 432 faces (144 kites and 288 isosceles triangles) and 480 edges. Geometry The dual snub 24-cell, first described by Koca et al. in 2011, is the dual polytope of the snub 24-cell, a semiregular polytope first described by Thorold Gosset in 1900. Construction The vertices of a dual snub 24-cell are obtained using quaternion simple roots (T') in the generation of the 600 vertices of the 120-cell. The following describe and 24-cells as quaternion orbit weights of D4 under the Weyl group W(D4): O(0100) : T = {±1,±e1,±e2,±e3,(±1±e1±e2±e3)/2} O(1000) : V1 O(0010) : V2 O(0001) : V3 With quaternions where is the conjugate of and and , then the Coxeter group is the symmetry group of the 600-cell and the 120-cell of order 14400. Given such that and as an exchange of within where is the golden ratio, we can construct: the snub 24-cell the 600-cell the 120-cell the alternate snub 24-cell and finally the dual snub 24-cell can then be defined as the orbits of . Projections Dual The dual polytope of this polytope is the Snub 24-cell. See also Snub 24-cell honeycomb Citations References 4-polytopes
https://en.wikipedia.org/wiki/Frederick%20R.%20Cohen	Frederick Ronald Cohen (1945 – January 16, 2022) was an American mathematician working in algebraic topology. Education and career Fred Cohen was born in 1945 in Chicago. He received a BA from Brandeis University in 1967 and a PhD from the University of Chicago in 1972. He taught at the University of Northern Illinois until 1979 and then at the University of Kentucky. In 1989, he settled at the University of Rochester, where he spent the rest of his career. Mathematics Cohen did influential work in several areas of homotopy theory. His thesis concerned the topology of configuration spaces, a topic he came back to throughout his life, with connections to braid groups and mapping class groups. This was followed by a series of influential papers on unstable homotopy groups of spheres with John Moore and Joseph Neisendorfer. Late in his life, Cohen studied polyhedral products in a series of articles with Bahri, Bendersky, and Gitler. Selected publications Personal life In the late 1970's, Cohen battled a spinal tumor. Although he survived with the help of radiation therapy, he was partially paralyzed for the rest of his life. Starting in 2013, he used a wheelchair. Cohen was survived by his wife Kathleen and two daughters. References Topologists 20th-century American mathematicians 21st-century American mathematicians 1945 births 2022 deaths Sloan Research Fellows Fellows of the American Mathematical Society Brandeis University alumni University of Chicago alumni University of Rochester faculty
https://en.wikipedia.org/wiki/Path%20space%20%28algebraic%20topology%29	In algebraic topology, a branch of mathematics, the path space of a based space is the space that consists of all maps from the interval to X such that , called paths. In other words, it is the mapping space from to . The space of all maps from to X (free paths or just paths) is called the free path space of X. The path space can then be viewed as the pullback of along . The natural map is a fibration called the path space fibration. References Further reading https://ncatlab.org/nlab/show/path+space Algebraic topology
https://en.wikipedia.org/wiki/Category%20of%20compactly%20generated%20weak%20Hausdorff%20spaces	In mathematics, the category of compactly generated weak Hausdorff spaces CGWH is one of typically used categories in algebraic topology as a substitute for the category of topological spaces, as the latter lacks some of the pleasant properties one would desire. There is also such a category for based spaces, defined by requiring maps to preserve the base points. The articles compactly generated space and weak Hausdorff space define the respective topological properties. For the historical motivation behind these conditions on spaces, see Compactly generated space#Motivation. This article focuses on the properties of the category. Properties CGWH has the following properties: It is complete and cocomplete. The forgetful functor to the sets preserves small limits. It contains all the locally compact Hausdorff spaces and all the CW complexes. The internal Hom exists for any pairs of spaces X, Y; it is denoted by or and is called the (free) mapping space from X to Y. Moreover, there is a homeomorphism that is natural in X, Y, Z. In short, the category is Cartesian closed in an enriched sense. A finite product of CW complexes is a CW complex. If X, Y are based spaces, then the smash product of them exists. The (based) mapping space from X to Y consists of all base-point-preserving maps from X to Y and is a closed subspace of the mapping space between the underlying unbased spaces. It is a based space with the base point the unique constant map. For based spaces X, Y, Z, there is a homeomorphism that is natural in X, Y, Z. Notes References Further reading The CGWH category, Dongryul Kim 2017 Algebraic topology Categories in category theory
https://en.wikipedia.org/wiki/Semisimple%20element	In mathematics, a semisimple element is an abstract element of an algebraic structure that generalizes a diagonalizable matrix. A precise meaning depends on context: A semisimple element in the endomorphism ring of a vector space is a semisimple operator. In a semisimple Lie algebra, an element is semisimple if its image under the adjoint representation is semisimple; see Semisimple Lie algebra#Jordan decomposition.

Subsets and Splits

No community queries yet

The top public SQL queries from the community will appear here once available.