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https://en.wikipedia.org/wiki/Diego%20Loureiro	Diego Terra Loureiro (born 28 July 1998), sometimes known as just Diego Loureiro, is a Brazilian footballer who plays as a goalkeeper for Atlético Goianiense, on loan from Botafogo. Career statistics Club Honours Botafogo Campeonato Brasileiro Série B: 2021 References 1998 births Living people Brazilian men's footballers Footballers from Rio de Janeiro (city) Men's association football goalkeepers Campeonato Brasileiro Série A players Campeonato Brasileiro Série B players Botafogo de Futebol e Regatas players Atlético Clube Goianiense players
https://en.wikipedia.org/wiki/Warley%20%28footballer%2C%20born%201999%29	Warley Leandro da Silva (born 17 September 1999), simply known as Warley, is a Brazilian footballer who plays as a right back and winger for Ceará, on loan from Coritiba. Career statistics Club Honours Botafogo Campeonato Brasileiro Série B: 2021 Coritiba Campeonato Paranaense: 2022 Ceará Copa do Nordeste: 2023 References 1999 births Living people Brazilian men's footballers Footballers from Recife Men's association football defenders Campeonato Brasileiro Série A players Campeonato Brasileiro Série B players Campeonato Brasileiro Série C players Santa Cruz Futebol Clube players Centro Sportivo Alagoano players Botafogo de Futebol e Regatas players Coritiba Foot Ball Club players Ceará Sporting Club players
https://en.wikipedia.org/wiki/Wenderson%20%28footballer%2C%20born%201998%29	Wenderson da Silva Costa Ferreira (born 7 June 1998), commonly known as Wenderson, is a Brazilian footballer who plays for Guarani as a midfielder. Career statistics Club References 1998 births Living people Brazilian men's footballers Men's association football midfielders Botafogo de Futebol e Regatas players C.D. Mafra players Campeonato Brasileiro Série A players Liga Portugal 2 players Brazilian expatriate men's footballers Expatriate men's footballers in Portugal Brazilian expatriate sportspeople in Portugal Footballers from Rio de Janeiro (city)
https://en.wikipedia.org/wiki/Helerson	Helerson Mateus do Nascimento (born 28 October 1997), commonly known as Helerson, is a Brazilian footballer who plays as a defender. Career statistics Club References 1997 births Living people Brazilian men's footballers Brazilian expatriate men's footballers Men's association football defenders People from Belford Roxo Footballers from Rio de Janeiro (state) Botafogo de Futebol e Regatas players G.D. Estoril Praia players Joinville Esporte Clube players Grêmio Esportivo Brasil players Associação Desportiva Confiança players Mesaimeer SC players Campeonato Brasileiro Série A players Campeonato Brasileiro Série C players Campeonato Brasileiro Série D players Liga Portugal 2 players Qatari Second Division players Brazilian expatriate sportspeople in Portugal Brazilian expatriate sportspeople in Qatar Expatriate men's footballers in Portugal Expatriate men's footballers in Qatar
https://en.wikipedia.org/wiki/Rickson%20%28footballer%29	Rickson Barbosa Sá da Conceição (born 4 March 1998), commonly known as Rickson, is a Brazilian footballer who plays for Vila Nova as a midfielder. Career statistics Club Honours Atlético Goianiense Campeonato Goiano: 2022 References 1998 births Living people Footballers from Rio de Janeiro (city) Brazilian men's footballers Men's association football midfielders Campeonato Brasileiro Série A players Campeonato Brasileiro Série B players Botafogo de Futebol e Regatas players América Futebol Clube (MG) players Guarani FC players Atlético Clube Goianiense players
https://en.wikipedia.org/wiki/Filipe%20%28footballer%2C%20born%201998%29	Filipe Gonçalves dos Santos (born 31 January 1998), commonly known as Filipe, is a Brazilian footballer who plays for Armenia side West Armenia as a goalkeeper. Career statistics Club References 1998 births Living people Brazilian men's footballers Men's association football goalkeepers Sport Club Corinthians Paulista players Paraná Clube players Footballers from Rio de Janeiro (city)
https://en.wikipedia.org/wiki/Marco%20Ant%C3%B4nio%20%28footballer%2C%20born%202000%29	Marco Antônio de Oliveira Coelho (born 15 July 2000), commonly known as Marco Antônio, is a Brazilian footballer who plays for Operário as a midfielder. Career statistics Club References 2000 births Living people Brazilian men's footballers Brazil men's youth international footballers Men's association football midfielders Campeonato Brasileiro Série A players Campeonato Brasileiro Série B players Cruzeiro Esporte Clube players Goiás Esporte Clube players Footballers from Belo Horizonte
https://en.wikipedia.org/wiki/Higuchi%20dimension	In fractal geometry, the Higuchi dimension (or Higuchi fractal dimension (HFD)) is an approximate value for the box-counting dimension of the graph of a real-valued function or time series. This value is obtained via an algorithmic approximation so one also talks about the Higuchi method. It has many applications in science and engineering and has been applied to subjects like characterizing primary waves in seismograms, clinical neurophysiology and analyzing changes in the electroencephalogram in Alzheimer’s disease. Formulation of the method The original formulation of the method is due to T. Higuchi. Given a time series consisting of data points and a parameter the Higuchi Fractal dimension (HFD) of is calculated in the following way: For each and define the length by The length is defined by the average value of the lengths , The slope of the best-fitting linear function through the data points is defined to be the Higuchi fractal dimension of the time-series . Application to functions For a real-valued function one can partition the unit interval into equidistantly intervals and apply the Higuchi algorithm to the times series . This results into the Higuchi fractal dimension of the function . It was shown that in this case the Higuchi method yields an approximation for the box-counting dimension of the graph of as it follows a geometrical approach (see Liehr & Massopust 2020). Robustness and stability Applications to fractional Brownian functions and the Weierstrass function reveal that the Higuchi fractal dimension can be close to the box-dimension. On the other hand, the method can be unstable in the case where the data are periodic or if subsets of it lie on a horizontal line (see Liehr & Massopust 2020). References Fractals Algorithms
https://en.wikipedia.org/wiki/Z%C3%A9%20Eduardo%20%28footballer%2C%20born%201999%29	José Eduardo de Andrade (born 8 July 1999), commonly known as Zé Eduardo, is a Brazilian footballer who plays for Portuguese club Varzim, as a forward. Career statistics Club References 1999 births Footballers from Natal, Rio Grande do Norte Living people Brazilian men's footballers Men's association football forwards Cruzeiro Esporte Clube players Villa Nova Atlético Clube players América Futebol Clube (RN) players Leixões S.C. players Varzim S.C. players Campeonato Brasileiro Série D players Campeonato Brasileiro Série B players Liga Portugal 2 players Brazilian expatriate men's footballers Expatriate men's footballers in Portugal Brazilian expatriate sportspeople in Portugal
https://en.wikipedia.org/wiki/Gabriel%20Capixaba	Gabriel Pereira Minas (born 5 March 1998), commonly known as Gabriel Capixaba, is a Brazilian footballer who plays for está sem clube as a forward. Career statistics Club References 1998 births Living people Brazilian men's footballers Brazilian expatriate men's footballers Men's association football forwards 2. Liga (Slovakia) players Fluminense FC players FC ŠTK 1914 Šamorín players Brazilian expatriate sportspeople in Slovakia Expatriate men's footballers in Slovakia People from Cachoeiro de Itapemirim Footballers from Espírito Santo
https://en.wikipedia.org/wiki/Lucas%20Barcellos	Lucas Barcellos Damasceno (born 19 July 1998) is a Brazilian footballer who plays for Daegu FC, as a forward. Career statistics Club References 1998 births Living people Footballers from Rio de Janeiro (city) Brazilian men's footballers Men's association football forwards Campeonato Brasileiro Série B players Fluminense FC players Figueirense FC players Associação Desportiva Confiança players Centro Sportivo Alagoano players
https://en.wikipedia.org/wiki/Shamil%20Tabra	Shamil Tabra is a former Iraqi football forward who played for Iraq between 1962 and 1964. He played 3 matches and scored 1 goal against Lebanon in the 1964 Arab Nations Cup. Career statistics International goals Scores and results list Iraq's goal tally first. References Iraqi men's footballers Iraq men's international footballers Al-Shorta SC players Living people Men's association football forwards Year of birth missing (living people)
https://en.wikipedia.org/wiki/Fabinho%20%28footballer%2C%20born%201999%29	Fabio Augusto Luciano da Silva (born 18 November 1999), commonly known as Fabinho, is a Brazilian footballer who plays as a forward for Criciúma, on loan from Athletico Paranaense. Career statistics Club Honours São Paulo Copa São Paulo de Futebol Jr.: 2019 References External links Chapecoense official profile 1999 births Living people Footballers from São José dos Campos Brazilian men's footballers Men's association football forwards Campeonato Brasileiro Série A players São Paulo FC players Club Athletico Paranaense players Associação Chapecoense de Futebol players Esporte Clube Vitória players Mirassol Futebol Clube players
https://en.wikipedia.org/wiki/Alexandre%20Melo	Alexandre Melo Ribeiro da Silva (born 11 February 1999), known as Alexandre Melo or simply Alexandre, is a Brazilian footballer who plays as a left back for Metropolitano Career statistics Club References 1999 births Living people Men's association football defenders Campeonato Brasileiro Série A players Campeonato Brasileiro Série B players CR Vasco da Gama players Cuiabá Esporte Clube players Clube de Regatas Brasil players Footballers from Rio de Janeiro (city) Brazilian men's footballers
https://en.wikipedia.org/wiki/Ulisses%20%28footballer%2C%20born%201999%29	Ulisses Wilson Jeronymo Rocha (born 28 September 1999), commonly known as Ulisses, is a Brazilian footballer who plays as a centre back for Nacional, on loan from Vasco da Gama. Career statistics Club References 1999 births Living people Brazilian men's footballers Footballers from São Paulo Men's association football defenders Men's association football central defenders Campeonato Brasileiro Série B players Liga Portugal 2 players CR Vasco da Gama players Vila Nova Futebol Clube players C.D. Nacional players Brazilian expatriate men's footballers Expatriate men's footballers in Portugal Brazilian expatriate sportspeople in Portugal
https://en.wikipedia.org/wiki/Cayo%20Ten%C3%B3rio	Cayo Henrique Nascimento Ferreira (born 22 February 1999), commonly known as Cayo Tenório, is a Brazilian footballer who plays as a right back for Boavista. Career statistics Club References 1999 births Living people Brazilian men's footballers Men's association football defenders CR Vasco da Gama players Azuriz Futebol Clube players Footballers from Rio de Janeiro (city)
https://en.wikipedia.org/wiki/Jo%C3%A3o%20Pedro%20%28footballer%2C%20born%20April%202000%29	João Pedro Costa Contreiras Martins (born 20 April 2000), commonly known as João Pedro, is a Brazilian footballer who plays as a winger. Career statistics Club References 2000 births Living people Brazilian men's footballers Men's association football forwards CR Vasco da Gama players Footballers from Rio de Janeiro (city)
https://en.wikipedia.org/wiki/Vin%C3%ADcius%20Paiva	Vinícius dos Santos de Oliveira Paiva (born 1 March 2001) is a Brazilian footballer who plays as a winger for Sheriff, on loan from Vasco da Gama. Career statistics Club References 2001 births Living people Brazilian men's footballers Men's association football forwards CR Vasco da Gama players Footballers from Rio de Janeiro (city)
https://en.wikipedia.org/wiki/Amadou%20Dant%C3%A9	Amadou Danté (born 7 October 2000) is a Malian footballer currently playing as a left-back for Austrian club Sturm Graz and the Mali national team. Career statistics Club Notes References 2000 births Living people Malian men's footballers Malian expatriate men's footballers Mali men's youth international footballers Mali men's international footballers Men's association football midfielders Austrian Football Bundesliga players SK Sturm Graz players TSV Hartberg players Malian expatriate sportspeople in Austria Expatriate men's footballers in Austria 21st-century Malian people
https://en.wikipedia.org/wiki/Adrian%20Iovi%C8%9B%C4%83	Adrian Ioviță (born 28 June 1954) is a Romanian-Canadian mathematician, specializing in arithmetic algebraic geometry and p-adic cohomology theories. Education Born in Timișoara, Romania, Iovita received in 1978 his undergraduate degree in mathematics from the University of Bucharest. He worked as a researcher at the Institute of Mathematics of the Romanian Academy, obtaining a Ph.D. degree in 1991 from the University of Bucharest with thesis On local classfield theory written under the direction of Nicolae Popescu. He received in 1996 a doctorate in mathematics from Boston University. His doctoral thesis there was supervised by Glenn H. Stevens; the thesis title is p-adic Cohomology of Abelian Varieties. Career As a postdoc from 1996 to 1998 in Montreal he was at McGill University and Concordia University. From 1998 to 2003 he was an assistant professor at the University of Washington. Since 2003 he is a full professor at Concordia University. He has held a permenent positions at the University of Padua, and also in Paris, Münster, Jerusalem, and Nottingham. Awards In 2008 Iovita received the Ribenboim Prize. In 2018 he was an invited speaker, with Vincent Pilloni and Fabrizio Andreatta, with talk p-adic variation of automorphic sheaves (given by Pilloni) at the International Congress of Mathematicians in Rio de Janeiro. Selected publications References 20th-century Romanian mathematicians 21st-century Romanian mathematicians Algebraic geometers University of Bucharest alumni Boston University Graduate School of Arts & Sciences alumni University of Washington faculty Academic staff of Concordia University Living people Romanian emigrants to Canada McGill University people Number theorists 1954 births Scientists from Timișoara
https://en.wikipedia.org/wiki/Aleksander%20Pawlak	Aleksander Pawlak (born 14 November 2001) is a Polish professional footballer who plays as either a right-back or a right midfielder for Ekstraklasa club Wisła Płock. Career statistics Club Notes References 2001 births Living people Sportspeople from Płock Footballers from Masovian Voivodeship Polish men's footballers Men's association football defenders Men's association football midfielders Wisła Płock players Stomil Olsztyn S.A. players Ekstraklasa players I liga players
https://en.wikipedia.org/wiki/Hubert%20Turski	Hubert Turski (born 31 January 2003) is a Polish professional footballer who plays as a forward for Pogoń Szczecin II. Career statistics Club Notes References 2003 births Living people Polish men's footballers Poland men's youth international footballers Men's association football forwards Pogoń Szczecin players Chrobry Głogów players Ekstraklasa players I liga players III liga players Footballers from Szczecin
https://en.wikipedia.org/wiki/Nemanja%20Kos	Nemanja Kos (, born 30 November 2002) is a Serbian footballer who currently plays as a forward for Mladost Lučani. Career statistics Club Notes References 2002 births Living people Serbian men's footballers Men's association football forwards Serbian SuperLiga players FK Mladost Lučani players
https://en.wikipedia.org/wiki/Nenad%20Perovi%C4%87%20%28footballer%2C%20born%202002%29	Nenad Perović (, born 20 June 2002) is a Serbian footballer who currently plays as a forward for Mladost Lučani. Career statistics Club Notes References 2002 births Living people Serbian men's footballers Serbia men's youth international footballers Men's association football forwards Serbian SuperLiga players FK Mladost Lučani players Place of birth missing (living people)
https://en.wikipedia.org/wiki/Sandro%20Jovanovi%C4%87	Sandro Jovanović (born 23 April 2002) is a Slovenian footballer who plays as a midfielder for Aluminij. Career statistics Club References External links Sandro Jovanović at NZS 2002 births Living people Slovenian men's footballers Men's association football midfielders Slovenian PrvaLiga players Slovenian Second League players NK Rudar Velenje players NK Aluminij players
https://en.wikipedia.org/wiki/P%C3%A9ter%20T%C3%B3th%20%28footballer%2C%20born%202001%29	Péter Tóth (born 10 April 2001) is a Hungarian footballer who plays as a midfielder. Career statistics Club Notes References 2001 births Living people Hungarian men's footballers Men's association football midfielders Budapest Honvéd FC players FC Ajka players Békéscsaba 1912 Előre footballers Kozármisleny SE footballers Nemzeti Bajnokság I players Nemzeti Bajnokság II players Nemzeti Bajnokság III players
https://en.wikipedia.org/wiki/Jan%20Ku%C5%BAma	Jan Kuźma (born 1 June 2003) is a Polish professional footballer who plays as a midfielder for ŁKS Łódź. Career statistics Club Honours ŁKS Łódź II III liga, group I: 2022–23 References 2003 births Living people Footballers from Nowy Sącz Polish men's footballers Poland men's youth international footballers Men's association football midfielders Sandecja Nowy Sącz players ŁKS Łódź players Górnik Polkowice players I liga players II liga players III liga players
https://en.wikipedia.org/wiki/Sebastian%20Breuer	Sebastian Breuer (born 21 February 2003) is an Austrian footballer currently playing as a defender for Juniors OÖ. Career statistics Club Notes References 2003 births Living people Austrian men's footballers Austria men's youth international footballers Men's association football defenders 2. Liga (Austria) players LASK players FC Juniors OÖ players
https://en.wikipedia.org/wiki/Goh%20Young-jun	Goh Young-jun (; born 9 July 2001) is a South Korean footballer who plays as an attacking midfielder or a winger for Pohang Steelers and the South Korea national team. Career statistics Club Honours South Korea U23 Asian Games: 2022 References External links 2001 births Living people People from Jinju Footballers from South Gyeongsang Province South Korean men's footballers South Korea men's youth international footballers South Korea men's under-20 international footballers South Korea men's under-23 international footballers South Korea men's international footballers Men's association football midfielders K League 1 players Pohang Steelers players Footballers at the 2022 Asian Games Asian Games medalists in football Asian Games gold medalists for South Korea Medalists at the 2022 Asian Games
https://en.wikipedia.org/wiki/Clinical%20Trials%20Registry%20%E2%80%93%20India	Clinical Trials Registry – India (CTRI) is the government of India's official clinical trial registry. The National Institute of Medical Statistics of the Indian Council of Medical Research established the CTRI on 20 July 2007. Since 2009 the Central Drugs Standard Control Organization has mandated that anyone conducting clinical trials in India must preregister before enrolling any research participants. History In 2004 the International Committee of Medical Journal Editors published the ICMJE recommendations, which advocated that medical journals only publish clinical research if the researchers have registered it. This statement had global influence and started conversations about clinical trial registration in India. The Indian Council of Medical Research established the CTRI on 20 July 2007. By the end of 2007 the registry indexed 31 trials. In February 2008 various editors of medical journals in India pledged to avoid publishing articles about any clinical trial in India which was not registered. The Central Drugs Standard Control Organisation made trial registration mandatory on 15 June 2009. The rule was that researchers must preregister trials before the enrollment of any research participants. In April 2018 the CTRI reiterated this rule, saying that there had been a practice of starting clinical trials and enrolling patients without registering the trial. There had been past calls for preregistration. Data collected The CTRI requests all the information which the World Health Organization recommends for clinical trial registries. Additionally, the CTRI collects information specific to the circumstances of India, including the address of the principal investigator, the name of the ethics committee overseeing the trial and confirmation of their government registration; proof of permission from the Drugs Controller General of India, the expected end date of the trial; all study sites; and the method of randomizing participants and the allocation concealment. The World Health Organization Registry for clinical trials helped make the Indian registry more effective. A review of the registry recommended that researchers who are wondering whether to register their research should resolve their concern by attempting to register in CTRI. A 2019 evaluation reported that the registry improves the national quality of clinical trials in India but also that the registry itself would benefit from development to ensure more accurate data. One factor which introduced error into the registry include that users register their own trials, sometimes with misunderstanding or errors in their submissions. Another factor is that the registration form itself lacks the precision which researchers would typically want, and for example, the "type of study" field is recording unclear responses. Research A 2018 paper expressed that the CTRI had the benefit of preventing selective reporting of results and duplication of research. It also empowered patients and t
https://en.wikipedia.org/wiki/Robust%20Regression%20and%20Outlier%20Detection	Robust Regression and Outlier Detection is a book on robust statistics, particularly focusing on the breakdown point of methods for robust regression. It was written by Peter Rousseeuw and Annick M. Leroy, and published in 1987 by Wiley. Background Linear regression is the problem of inferring a linear functional relationship between a dependent variable and one or more independent variables, from data sets where that relation has been obscured by noise. Ordinary least squares assumes that the data all lie near the fit line or plane, but depart from it by the addition of normally distributed residual values. In contrast, robust regression methods work even when some of the data points are outliers that bear no relation to the fit line or plane, possibly because the data draws from a mixture of sources or possibly because an adversarial agent is trying to corrupt the data to cause the regression method to produce an inaccurate result. A typical application, discussed in the book, involves the Hertzsprung–Russell diagram of star types, in which one wishes to fit a curve through the main sequence of stars without the fit being thrown off by the outlying giant stars and white dwarfs. The breakdown point of a robust regression method is the fraction of outlying data that it can tolerate while remaining accurate. For this style of analysis, higher breakdown points are better. The breakdown point for ordinary least squares is near zero (a single outlier can make the fit become arbitrarily far from the remaining uncorrupted data) while some other methods have breakdown points as high as 50%. Although these methods require few assumptions about the data, and work well for data whose noise is not well understood, they may have somewhat lower efficiency than ordinary least squares (requiring more data for a given accuracy of fit) and their implementation may be complex and slow. Topics The book has seven chapters. The first is introductory; it describes simple linear regression (in which there is only one independent variable), discusses the possibility of outliers that corrupt either the dependent or the independent variable, provides examples in which outliers produce misleading results, defines the breakdown point, and briefly introduces several methods for robust simple regression, including repeated median regression. The second and third chapters analyze in more detail the least median of squares method for regression (in which one seeks a fit that minimizes the median of the squared residuals) and the least trimmed squares method (in which one seeks to minimize the sum of the squared residuals that are below the median). These two methods both have breakdown point 50% and can be applied for both simple regression (chapter two) and multivariate regression (chapter three). Although the least median has an appealing geometric description (as finding a strip of minimum height containing half the data), its low efficiency leads to the recommendation th
https://en.wikipedia.org/wiki/Tutul%20Hossain%20Badsha	Tutul Hossain Badsha () is a Bangladeshi professional footballer who plays as a centre-back for Bangladesh Premier League club Bashundhara Kings and the Bangladesh national team. Club statistics Early career & European trial Badsha joined Dhanmondi giants Abahani Limited Dhaka in 2012, at the age of 13. While still training with the Abahani youth team, Badsha participated in the 2012 Pioneer League with Khilgaon FA and went onto win the league title while making only a couple of appearances for the club. The following year, he returned to Abahani and participated in the BFF U-18 Football Tournament, before making his senior team breakthrough. On 21 July 2014, a 17 year old Badsha had a trial for Belgian First Division A club Anderlecht becoming only the second Bangladeshi player to get a trial in Europe. Although Badsha had only made a single league appearance before the trial, Bangladesh national team's head coach at the time Lodewijk de Kruif and assistant coach Rene Koster made the arrangements possible after Badsha caught the attention of the Dutch coaches during the 2014 AFC U-19 Championship qualifiers. Abahani Limited Dhaka After joining Abahani in 2012, Badsha made his first appearance during the 2013–14 season by coming on as a substitute, however, he was not a regular face in the team, due to there being more experienced defenders at his position at the time. Badsha, finally got a few appearances after veteran defenders Atiqur Rahman Meshu & Mohammed Ariful Islam parted ways with the club. In the 2017–18 season, Badhsa became a regular for Abahani in defense due to his good performances while partnering veteran center back and former Bangladesh national team captain, Nasiruddin Chowdhury, the same season he won the Bangladesh Premier League title with the club, making 21 league appearances during the course of the season. Badsha also created a strong defensive partnership with Afghanistan international Masih Saighani, helping Abahani become the first Bangladeshi club to reach the knockout-stages of the 2019 AFC Cup. At the start of the 2021–222 season, he paired up with Iranian Milad Sheykh Soleimani, and kept a stern defense as Abahani won the domestic cup double. However, due to injury, Badsha could not hold onto his good form during the league campaign, as Abahani lost the championship to Bashundhara Kings. On 6 August 2022, after continuous speculation, Badsha announced his departure from his boyhood club Abahani, through a Facebook post. He spent 10 years at the club making more than a century off appearances for Abahani in all competitions and also won all three domestic trophies along the way. Bashundhara Kings In August 2022, Badsha announced Bashundhara Kings as his new destinations. International career In 2017, Badsha captained the Bangladesh U18 team to a runners-up position in the 2017 SAFF U-18 Championship. He later captained the Bangladesh U23 national team during their disappointing 2022 AFC U-23 Asian Cup qu
https://en.wikipedia.org/wiki/OpenVSP	OpenVSP, also known as Open Vehicle Sketch Pad, is an open source parametric aircraft geometry tool originally developed by NASA. It can be used to create 3D models of aircraft and to support engineering analysis of those models. Predecessors to OpenVSP including VSP and Rapid Aircraft Modeler (RAM) were developed by J.R. Gloudemans and others for NASA beginning in the early 1990s. OpenVSP v2.0 was released as open source under the NOSA license in January 2012. Development has been led by Rob McDonald since around 2012 and has been supported by NASA and AFRL among other contributions. OpenVSP allows the user to quickly generate computer models from ideas, which can then be analyzed. As such, it is especially powerful in generating and evaluating unconventional design concepts. Features User interface OpenVSP displays a graphical user interface upon launch. A workspace window and a "Geometry Browser" window open. The workspace is where the model is displayed while the Geometry Browser lists individual components in the workspace, such as fuselage and wings. These components can be selected, added or deleted, somewhat like a feature tree in CAD software such as Solidworks. When a component is selected in the Geometry Browser window, a component geometry window opens. This window is used to modify the component. OpenVSP also provides API capabilities which may be accessed using Matlab, Python or AngelScript. Geometry modelling OpenVSP offers a multitude of basic geometries, common to aircraft modelling, which users modify and assemble to create models. Wing, pod, fuselage, and propeller are a few available geometries. Advanced components like body of revolution, duct, conformal geometry and such are also available. Analysis tools Besides the geometry modeller, OpenVSP contains multiple tools that help with aerodynamic or structural analysis of models. The tools available are: CompGeom - mesh generation tool that can handle model intersection and trimming Mass Properties Analysis - to compute properties like centre of gravity and moment of inertia Projected Area Analysis - to compute project area CFD Mesh - to generate meshes that may be used in Computational fluid dynamics analysis software FEA Mesh - to generate meshes that may be used in FEA analysis software DegenGeom - to generate various simplified representations of geometry models like point, beam and camber surface models VSPAERO - for vortex lattice or panel method based aerodynamic and flight dynamic analysis Wave Drag Analysis - for estimating wave drag of geometries Parasite Drag Analysis - for estimating parasite drag of geometries based on parameters like wetted area and skin friction coefficient Surface fitting - for fitting a parametric surface to a point cloud Texture Manager - for applying image textures to geometry for aiding visualization Compatibility with other software OpenVSP permits import of multiple geometry formats like STL, CART3D (.tri) and PLOT
https://en.wikipedia.org/wiki/Negative%20definiteness	In mathematics, negative definiteness is a property of any object to which a bilinear form may be naturally associated, which is negative-definite. See, in particular: Negative-definite bilinear form Negative-definite quadratic form Negative-definite matrix Negative-definite function Quadratic forms
https://en.wikipedia.org/wiki/Omayra%20Ortega	Omayra Ortega is an American mathematician, specializing in mathematical epidemiology. Ortega is an associate professor of mathematics & statistics at Sonoma State University in Sonoma County, California, and the president of the National Association of Mathematicians (NAM). Early life and education Ortega was born in Far Rockaway, Queens, New York. Her parents are originally from Panama. Omayra Ortega received bachelor's degrees in mathematics and music from Pomona College in 2001. She pursued graduate studies at the University of Iowa, where she earned a master's degree in 2005 and a PhD in 2008, both in the "Applied Mathematics & Computational Science" program, as well as a Master's in Public Health degree in 2005. Her dissertation was on mathematical epidemiology, titled "Evaluation of Rotavirus models with coinfection and vaccination"; her advisers were Herbert W. Hethcote and Tong Li. Career In 2006 Ortega became an instructor of applied mathematics at Arizona State University and was promoted to assistant professor after she received her PhD in 2008. In 2017 Ortega became a visiting assistant professor of mathematics at her undergraduate institution Pomona College. In 2018 she became an assistant professor of mathematics and statistics at Sonoma State University. She is currently an Associate Professor and Assistant Dean of Research and Internships in the School of Science and Technology. Ortega became the president of the National Association of Mathematicians, NAM, on February 1, 2021. Previously, she was the editor-in-chief of the NAM editorial board to the Mathematical Association of America MathValues blog, as well as editor of the NAM Newsletter. and chair of the NAM Publicity and Publications Committee from 2018 to 2021. Ortega has been featured in the PBS show SciGirls. Awards and recognition In 2020 Ortega was named an Association for Women in Mathematics (AWM) Service Award recipient. She was also recognized by Mathematically Gifted & Black as a Black History Month 2020 Honoree. In 2023, she became an AWM fellow "for her dedication to providing opportunities for under-represented groups, especially women and girls, to become involved in and advance in the mathematical sciences; for her outreach work at regional and national levels; for being an exceptional mentor and role model; and for her commitment to advancing the mission of AWM." Personal life Ortega trains in Capoiera. References External links Omayra Ortega's Professional Website Meet a Mathematician! video interview Living people 21st-century American mathematicians African-American mathematicians American women mathematicians African-American women academics 21st-century African-American academics 21st-century American academics Pomona College alumni Pomona College faculty Year of birth missing (living people) 21st-century African-American women Fellows of the Association for Women in Mathematics 21st-century American women academics
https://en.wikipedia.org/wiki/Linda%20Zhao	Linda Hong Zhao is a Chinese-American statistician. She is a Professor of Statistics and at the Wharton School of the University of Pennsylvania. She is a Fellow of the Institute of Mathematical Statistics. Zhao specializes in modern machine learning methods. Early life and education In 1982, Zhao obtained her Bachelor of Science from the Department of Mathematics at Nankai University. She later emigrated to the United States and attended Cornell University, where she obtained her Ph.D from the Department of Statistics in 1993. Career Zhao became an assistant professor statistics at University of California, Los Angeles in 1993, before joining the Wharton School in 1994, where she is currently a Professor of Statistics. Her specialty falls in modern machine learning methods, replicability in science, high dimensional data, housing price prediction, and Bayesian methods. Current projects include equity ownership network, and its relationship to firm performance and innovation activities; identify signals from noisy data using non-parametric Bayesian scheme; and model-free data analysis. Her work has won National Science Foundation support for over 20 years. Personal life Zhao was married to Lawrence D. Brown (1940–2018), a fellow statistician at the Wharton School. Honors and awards Fellow, Institute of Mathematical Statistics, 2017 Selected publications Zhao, L. H. (2000) Bayesian aspects of some nonparametric problems, The Annals of Statistics, 28, 532–552. doi:10.1214/aos/1016218229 Mao, V. and Zhao, L. H. (2003) Free knot polynomial splines with confidence intervals, Journal of the Royal Statistical Society, Series B, 65, 901-919. doi:10.1046/j.1369-7412.2003.00422.x Berk, R., Brown, L.B. and Zhao, L. (2010) Statistical inference after model selection, Journal of Quantitative Criminology, 26, 217-236 doi:10.1007/s10940-009-9077-7 Nagaraja, C. H., Brown, L.D. and Zhao, L. (2010) An autoregressive approach to house price modeling, to appear The Annals of Applied Statistics. doi:10.1214/10-AOAS380 References External links Wharton Faculty Webpage Personal Website Wharton School of the University of Pennsylvania faculty Chinese emigrants to the United States Cornell University alumni Chinese statisticians American women statisticians Year of birth missing (living people) Living people Fellows of the Institute of Mathematical Statistics 21st-century American women
https://en.wikipedia.org/wiki/Filip%20Szymczak	Filip Szymczak (born 6 May 2002) is a Polish professional footballer who plays as a forward for Ekstraklasa side Lech Poznań. Career statistics Club Honours Individual Ekstraklasa Young Player of the Month: November 2022 References External links 2002 births Living people Polish men's footballers Men's association football forwards Warta Poznań players Lech Poznań II players Lech Poznań players GKS Katowice players Ekstraklasa players I liga players II liga players III liga players Poland men's youth international footballers Poland men's under-21 international footballers Footballers from Poznań
https://en.wikipedia.org/wiki/Tanya%20Moore%20%28activist%29	Tanya Moore is an activist for women in science. Background Moore obtained a B.S. in Mathematics at Spelman College, MSE in Mathematical Sciences at Johns Hopkins University and a Ph.D. in Biostatistics at UC Berkeley in 2002. Moore founded Infinite Possibilities Conference in 2005, a national conference that is designed to promote, educate, encourage and support minority women underrepresented in mathematics and statistics. Moore is the lead on the 2020 Vision Projects in Berkeley, which aims to close the achievement gap between white, black, and Latino students. Moore sits on the board of directors for Building Diversity in STEM, a non-profit designed to empower and support underrepresented groups students in the pursuit of STEM careers. In 2011, Moore was identified as one of the 5 top Black women in STEM, and nominated for Black History Month 2018 Honoree by The Network of Minorities in Mathematical Sciences. Moore was featured in Essence Magazine's 15 Black Women Who Are Paving The Way In STEM And Breaking Barriers and The Oprah Magazine's 3 science rock stars and was recognized as “STEM Woman of the Year” by California State Assembly Member Nancy Skinner References Spelman College alumni Johns Hopkins University alumni University of California, Berkeley alumni 21st-century African-American people Living people Science communication Year of birth missing (living people)
https://en.wikipedia.org/wiki/Mohamed%20Omar%20%28mathematician%29	Mohamed Omar is a mathematician interested in combinatorics, and algebra. Omar is currently an Associate Professor of Mathematics and the Joseph B. Platt Chair in Effective Teaching at Harvey Mudd College. Early life and education Omar was born in Alexandria, Egypt to an Egyptian mother and an Ethiopian father, but was raised in Toronto, Canada. He attended the University of Waterloo, where he received a bachelor's double degree in pure mathematics and combinatorics & optimization in 2006, followed by a master's degree in combinatorics & optimization in 2007. Omar's master's thesis was titled "Combinatorial Approaches to the Jacobian Conjecture" and was advised by Ian P. Goulden. Omar then attended graduate school in the mathematics department at the University of California Davis. He completed his Ph.D. in mathematics in 2011. Omar's doctoral advisor was Jesús A. De Loera, and his dissertation was titled "Applications of Convex and Algebraic Geometry to Graphs and Polytopes". Career After completion of his doctorate, Omar became the Harry Bateman Research Instructor at the California Institute of Technology. In the fall of 2013 Omar moved to Harvey Mudd College and took a position as tenure track faculty in the mathematics department, where he has worked to this day. Beyond the classroom, Omar has been involved in numerous outreach efforts to promote diversity in Science, Technology, Engineering and Mathematics (STEM) fields, as well as mathematical enrichment for high school students. He has participated in the Bridge to Enter Advanced Mathematics (BEAM) program as an instructor. Omar has also served as faculty at the Canada/USA Mathcamp, and eventually served on the board of directors for the Mathematics Foundation of America, which organizes the camp. Omar's work in promoting diversity has been written about in Forbes Magazine, and he has been a guest on the Scientific American podcast "My Favorite Theorem". He also maintains a Youtube channel where he posts videos about advanced mathematical concepts as well as videos aimed at helping young students prepare for standardized tests. Honors and awards Omar has received several awards for the quality of his teaching. In the 2013-2014 academic year, he was awarded the Associated Students of the California Institute of Technology (ASCIT) Teaching Award. In 2018, the Mathematical Association of America awarded him the Henry L. Alder Award. In 2020, Omar was selected as a fellow in the 2020 Inaugural Class of Karen EDGE Fellows. Omar was also recognized by Mathematically Gifted & Black as a Black History Month 2017 Honoree. He was awarded the Inaugural AMS Claytor-Gilmer Fellowship in 2021. References External links Homepage Living people Year of birth missing (living people) University of California, Davis alumni Harvey Mudd College faculty 21st-century Canadian mathematicians People from Alexandria
https://en.wikipedia.org/wiki/Tahiti%20national%20football%20team%20results%20%282000%E2%80%93present%29	This page details the match results and statistics of the Tahiti national football team from 2000 to present. Key Key to matches Att.=Match attendance (H)=Home ground (A)=Away ground (N)=Neutral ground Key to record by opponent Pld=Games played W=Games won D=Games drawn L=Games lost GF=Goals for GA=Goals against Results Tahiti's score is shown first in each case. Notes Record by opponent References Tahiti national football team results
https://en.wikipedia.org/wiki/Christina%20Eubanks-Turner	Christina Eubanks-Turner is a professor of mathematics in the Seaver College of Science and Engineering at Loyola Marymount University (LMU). Her academic areas of interest include graph theory, commutative algebra, mathematics education, and mathematical sciences diversification. She is also the Director of the Master's Program in Teaching Mathematics at LMU. Early life and education Eubanks-Turner was born and raised in New Orleans, Louisiana and enjoyed logic puzzles and creative thinking as a child. She received her B.S. cum laude from Xavier University of Louisiana, a historically black college, in 2002; she received her M.S. in 2004 and her Ph.D. in 2008—both from the University of Nebraska-Lincoln. Eubanks-Turner was one of the first two African Americans to receive a doctorate degree in mathematics from the University of Nebraska-Lincoln. Her dissertation explored the topic of "Prime ideals in low-dimensional mixed polynomial/power series rings." Eubanks-Turner's doctoral advisor was Sylvia Wiegand. Career and research Eubanks-Turner was one of the first two African Americans to receive tenure at LMU's College of Science and Engineering. Eubanks-Turner is interested in research areas related to specialized mathematical training that teachers need to teach math at the undergraduate and secondary levels. Her pedagogy also includes the integration of equity issues into teaching and an approach to mathematics education that addresses the whole student. Her research in mathematics includes topics in graph theory and commutative algebra. Selected publications C. Eubanks-Turner, A. Li, Interlace Polynomials of Friendship Graphs, Electronic Journal of Graph Theory and Applications, Vol. 6 (2), (2018), 269–281. D. Berube, C. Eubanks-Turner, E. Mosteig, T. Zachariah, A Tale of Two Programs: Broadening Participation of Underrepresented Students in STEM at Loyola Marymount University, Journal of Research in STEM Education, Vol. 4(1), (2018), 13–22. B. Baker Swart, K. Beck, S. Crook, C. Eubanks-Turner, H. Grundman, M. Mei, L. Zack, Fixed points of augmented generalized happy functions, Rocky Mountain Journal of Mathematics, Vol. 48(1), (2018), 47–58. C. Eubanks-Turner, P. Beaulieu, N. Pal, Smooth Transition for Advancement to Graduate Education (STAGE) for Underrepresented Groups in Mathematical Sciences Pilot Project: The Benefits and Challenges of Mentoring, PRIMUS, 28:2, (2018), 97–117. C. Eubanks-Turner, M. Lennon, E. Reynoso, B. Thibodeaux, A. Urquiza, A. Wheatley, D. Young, Using the Division Algorithm to Decode Reed-Solomon Codes, Journal of Shanghai Normal University (Natural Sciences) (2015), 44:3, 262–269. C. Eubanks-Turner, N. Hajj, Mardi Gras Math, Mathematics Teaching in the Middle School (2015), 20:8, 494–498. C. Eubanks-Turner, A. Li, Graphical Properties of the Bipartite Graph of Spec(Z[x])\{0}, Journal of Algebra Combinatorics, Discrete Structures and Applications (2015), 2:1, 65–73. E. Celikbas, C. Eubanks-Turner, S
https://en.wikipedia.org/wiki/Fundamental%20theorem%20of%20Hilbert%20spaces	In mathematics, specifically in functional analysis and Hilbert space theory, the fundamental theorem of Hilbert spaces gives a necessarily and sufficient condition for a Hausdorff pre-Hilbert space to be a Hilbert space in terms of the canonical isometry of a pre-Hilbert space into its anti-dual. Preliminaries Antilinear functionals and the anti-dual Suppose that is a topological vector space (TVS). A function is called semilinear or antilinear if for all and all scalars , Additive: ; Conjugate homogeneous: . The vector space of all continuous antilinear functions on is called the anti-dual space or complex conjugate dual space of and is denoted by (in contrast, the continuous dual space of is denoted by ), which we make into a normed space by endowing it with the canonical norm (defined in the same way as the canonical norm on the continuous dual space of ). Pre-Hilbert spaces and sesquilinear forms A sesquilinear form is a map such that for all , the map defined by is linear, and for all , the map defined by is antilinear. Note that in Physics, the convention is that a sesquilinear form is linear in its second coordinate and antilinear in its first coordinate. A sesquilinear form on is called positive definite if for all non-0 ; it is called non-negative if for all . A sesquilinear form on is called a Hermitian form if in addition it has the property that for all . Pre-Hilbert and Hilbert spaces A pre-Hilbert space is a pair consisting of a vector space and a non-negative sesquilinear form on ; if in addition this sesquilinear form is positive definite then is called a Hausdorff pre-Hilbert space. If is non-negative then it induces a canonical seminorm on , denoted by , defined by , where if is also positive definite then this map is a norm. This canonical semi-norm makes every pre-Hilbert space into a seminormed space and every Hausdorff pre-Hilbert space into a normed space. The sesquilinear form is separately uniformly continuous in each of its two arguments and hence can be extended to a separately continuous sesquilinear form on the completion of ; if is Hausdorff then this completion is a Hilbert space. A Hausdorff pre-Hilbert space that is complete is called a Hilbert space. Canonical map into the anti-dual Suppose is a pre-Hilbert space. If , we define the canonical maps: where , and where The canonical map from into its anti-dual is the map defined by . If is a pre-Hilbert space then this canonical map is linear and continuous; this map is an isometry onto a vector subspace of the anti-dual if and only if is a Hausdorff pre-Hilbert. There is of course a canonical antilinear surjective isometry that sends a continuous linear functional on to the continuous antilinear functional denoted by and defined by . Fundamental theorem Fundamental theorem of Hilbert spaces: Suppose that is a Hausdorff pre-Hilbert space where is a sesquilinear form that is l
https://en.wikipedia.org/wiki/Statistics%20of%20the%20COVID-19%20pandemic%20in%20India	This article contains statistics about the COVID-19 pandemic in India. COVID-19 cases, deaths, recoveries, and other statistics are shown in nationwide and regional maps and graphs. Classifying COVID-19 deaths The Indian Council of Medical Research (ICMR) governs classification of a COVID-19 related death in India. ICMR in turn follows WHO guidelines, recording COVID-19 deaths as U07.1 as per International Classification of Diseases. The National Centre for Disease Informatics and Research, ICMR, released a document titled "Guidance for appropriate recording of COVID-19 related deaths in India". In March 2020, the first two COVID-19 infected people to die in India officially died due to their co-morbidities and not COVID-19. Around India, people dying of their co-morbidities are not be considered as a COVID-19 death, "if a comorbid patient dies then a committee of experts decides the primary and secondary causes of death [...] If that committee identifies the main cause of death as heart attack, then even if the patient was infected, such a death is not counted as being caused by Covid." Testing of dead bodies to COVID-19 is being done according to ICMR guidelines and government orders. On 17 May 2020, the Delhi government changed COVID-19 testing policy by stopping tests of dead bodies. National serological surveys India's first national serological (seroprevalence) survey was conducted by ICMR during May–June 2020; 0.73% sero-positivity was observed. The results were published on 10 September 2021 on the website of the Indian Journal of Medical Research. However the survey and subsequent press releases and the final publication saw a number of discrepancies. ICMR also clarified that the observed sero-positivity did not represent the entire population. While ICMR came out with a 49% sero-positivity rate for Ahmedabad, the Ahmedabad Municipal Corporation conducted its own survey and came out with an average sero-positivity of 17.61%. The second serological survey, published in The Lancet, was conducted in August–September 2020; 6.6% sero-positivity was observed, i.e. for every case detected, about 15 went undetected. India's third national serological survey conducted in December 2020 and January 2021 revealed that only 3.5% of the total infections had been "detected" or "recorded". In other words, for every case detected, about 30 went undetected. Reconciliation of data Reconciled and backlogged data includes both deaths and number of tests. States and union territories that have reconciled deaths include Tamil Nadu, Bihar, Andhra Pradesh, Uttarakhand, West Bengal, Goa and Delhi. 7.6 million tests have been reconciled. Until 21 July 2021, Maharashtra had reconciled deaths 14 times. Maps Interactive maps Charts Daily new cases Daily new deaths Daily new recoveries Daily new cases vs active cases Confirmed cases by regions Confirmed deaths by regions Case fatality rate The trend of case fatality rate for COVID-19 from 12 March, t
https://en.wikipedia.org/wiki/Stable%20principal%20bundle	In mathematics, and especially differential geometry and algebraic geometry, a stable principal bundle is a generalisation of the notion of a stable vector bundle to the setting of principal bundles. The concept of stability for principal bundles was introduced by Annamalai Ramanathan for the purpose of defining the moduli space of G-principal bundles over a Riemann surface, a generalisation of earlier work by David Mumford and others on the moduli spaces of vector bundles. Many statements about the stability of vector bundles can be translated into the language of stable principal bundles. For example, the analogue of the Kobayashi–Hitchin correspondence for principal bundles, that a holomorphic principal bundle over a compact Kähler manifold admits a Hermite–Einstein connection if and only if it is polystable, was shown to be true in the case of projective manifolds by Subramanian and Ramanathan, and for arbitrary compact Kähler manifolds by Anchouche and Biswas. Definition The essential definition of stability for principal bundles was made by Ramanathan, but applies only to the case of Riemann surfaces. In this section we state the definition as appearing in the work of Anchouche and Biswas which is valid over any Kähler manifold, and indeed makes sense more generally for algebraic varieties. This reduces to Ramanathan's definition in the case the manifold is a Riemann surface. Let be a connected reductive algebraic group over the complex numbers . Let be a compact Kähler manifold of complex dimension . Suppose is a holomorphic principal -bundle over . Holomorphic here means that the transition functions for vary holomorphically, which makes sense as the structure group is a complex Lie group. The principal bundle is called stable (resp. semi-stable) if for every reduction of structure group for a maximal parabolic subgroup where is some open subset with the codimension , we have Here is the relative tangent bundle of the fibre bundle otherwise known as the vertical bundle of . Recall that the degree of a vector bundle (or coherent sheaf) is defined to be where is the first Chern class of . In the above setting the degree is computed for a bundle defined over inside , but since the codimension of the complement of is bigger than two, the value of the integral will agree with that over all of . Notice that in the case where , that is where is a Riemann surface, by assumption on the codimension of we must have that , so it is enough to consider reductions of structure group over the entirety of , . Relation to stability of vector bundles Given a principal -bundle for a complex Lie group there are several natural vector bundles one may associate to it. Firstly if , the general linear group, then the standard representation of on allows one to construct the associated bundle . This is a holomorphic vector bundle over , and the above definition of stability of the principal bundle is equivalent to slope stability of
https://en.wikipedia.org/wiki/Stability%20%28algebraic%20geometry%29	In mathematics, and especially algebraic geometry, stability is a notion which characterises when a geometric object, for example a point, an algebraic variety, a vector bundle, or a sheaf, has some desirable properties for the purpose of classifying them. The exact characterisation of what it means to be stable depends on the type of geometric object, but all such examples share the property of having a minimal amount of internal symmetry, that is such stable objects have few automorphisms. This is related to the concept of simplicity in mathematics, which measures when some mathematical object has few subobjects inside it (see for example simple groups, which have no non-trivial normal subgroups). In addition to stability, some objects may be described with terms such as semi-stable (having a small but not minimal amount of symmetry), polystable (being made out of stable objects), or unstable (having too much symmetry, the opposite of stable). Background In many areas of mathematics, and indeed within geometry itself, it is often very desirable to have highly symmetric objects, and these objects are often regarded as aesthetically pleasing. However, high amounts of symmetry are not desirable when one is attempting to classify geometric objects by constructing moduli spaces of them, because the symmetries of these objects cause the formation of singularities, and obstruct the existence of universal families. The concept of stability was first introduced in its modern form by David Mumford in 1965 in the context of geometric invariant theory, a theory which explains how to take quotients of algebraic varieties by group actions, and obtain a quotient space that is still an algebraic variety, a so-called categorical quotient. However the ideas behind Mumford's work go back to the invariant theory of David Hilbert in 1893, and the fundamental concepts involved date back even to the work of Bernhard Riemann on constructing moduli spaces of Riemann surfaces. Since the work of Mumford, stability has appeared in many forms throughout algebraic geometry, often with various notions of stability either derived from geometric invariant theory, or inspired by it. A completely general theory of stability does not exist (although one attempt to form such a theory is Bridgeland stability), and this article serves to summarise and compare the different manifestations of stability in geometry and the relations between them. In addition to its use in classification and forming quotients in algebraic geometry, stability also finds significant use in differential geometry and geometric analysis, due to the general principle which states that stable algebraic geometric objects correspond to extremal differential geometric objects. Here extremal is generally meant in the sense of the calculus of variations, in that such objects minimize some functional. The prototypical example of this principle is the Kempf–Ness theorem, which relates GIT quotients to symplectic
https://en.wikipedia.org/wiki/Krein%E2%80%93Smulian%20theorem	In mathematics, particularly in functional analysis, the Krein-Smulian theorem can refer to two theorems relating the closed convex hull and compactness in the weak topology. They are named after Mark Krein and Vitold Shmulyan, who published them in 1940. Statement Both of the following theorems are referred to as the Krein-Smulian Theorem. See also References Bibliography Banach spaces Topological vector spaces Theorems in functional analysis
https://en.wikipedia.org/wiki/Continuous%20Bernoulli%20distribution	In probability theory, statistics, and machine learning, the continuous Bernoulli distribution is a family of continuous probability distributions parameterized by a single shape parameter , defined on the unit interval , by: The continuous Bernoulli distribution arises in deep learning and computer vision, specifically in the context of variational autoencoders, for modeling the pixel intensities of natural images. As such, it defines a proper probabilistic counterpart for the commonly used binary cross entropy loss, which is often applied to continuous, -valued data. This practice amounts to ignoring the normalizing constant of the continuous Bernoulli distribution, since the binary cross entropy loss only defines a true log-likelihood for discrete, -valued data. The continuous Bernoulli also defines an exponential family of distributions. Writing for the natural parameter, the density can be rewritten in canonical form: . Related distributions Bernoulli distribution The continuous Bernoulli can be thought of as a continuous relaxation of the Bernoulli distribution, which is defined on the discrete set by the probability mass function: where is a scalar parameter between 0 and 1. Applying this same functional form on the continuous interval results in the continuous Bernoulli probability density function, up to a normalizing constant. Beta distribution The Beta distribution has the density function: which can be re-written as: where are positive scalar parameters, and represents an arbitrary point inside the 1-simplex, . Switching the role of the parameter and the argument in this density function, we obtain: This family is only identifiable up to the linear constraint , whence we obtain: corresponding exactly to the continuous Bernoulli density. Exponential distribution An exponential distribution restricted to the unit interval is equivalent to a continuous Bernoulli distribution with appropriate parameter. Continuous categorical distribution The multivariate generalization of the continuous Bernoulli is called the continuous-categorical. References Continuous distributions Exponential family distributions
https://en.wikipedia.org/wiki/Tetrastix	In geometry, it is possible to fill 3/4 of the volume of three-dimensional Euclidean space by three sets of infinitely-long square prisms aligned with the three coordinate axes, leaving cubical voids; John Horton Conway, Heidi Burgiel and Chaim Goodman-Strauss have named this structure tetrastix. Applications The motivation for some of the early studies of this structure was for its applications in the crystallography of crystal structures formed by rod-shaped molecules. Shrinking the square cross-sections of the prisms slightly causes the remaining space, consisting of the cubical voids, to become linked up into a single polyhedral set, bounded by axis-parallel faces. Polyhedra constructed in this way from finitely many prisms provide examples of axis-parallel polyhedra with vertices and faces that require pieces when subdivided into convex pieces; they have been called Thurston polyhedra, after William Thurston, who suggested using these shapes for this lower bound application. Like the Schönhardt polyhedron, these polyhedra have no triangulation into tetrahedra unless additional vertices are introduced. Anduriel Widmark has used the tetrastix and hexastix structures as the basis for artworks made from glass rods, fused to form tangled knots. Related structures The space occupied by the union of the prisms can be divided into the prisms of the tetrastix structure in two different ways. If the prisms are divided into unit cubes, offset by half a unit from the integer grid aligned with the prism sides, then these cubes together with the unit cube voids of the tetrastix structure form a tiling of space by cubes, combinatorially equivalent to the Weaire–Phelan structure for tiling space with unit volumes of low surface area. The tetrastix and Weaire–Phelan structures have the same group of symmetries. Although this cube tiling includes some cubes (the ones filling the voids of the tetrastix) that do not meet face-to-face with any other cube, results of Oskar Perron on Keller's conjecture prove that (like the cubes within each prism of the tetrastix) every tiling of three-dimensional space by unit cubes must include an infinite column of cubes that all meet face-to-face. Similar constructions to the tetrastix are possible with triangular and hexagonal prisms, in four directions, called by Conway et al. "tristix" and hexastix. See also Mucube, a self-complementary structure formed by the union of three sets of axis-parallel infinite square prisms that intersect in cubes Blue phase mode LCD Burr puzzle Hexastix References Cubes
https://en.wikipedia.org/wiki/Polygonalization	In computational geometry, a polygonalization of a finite set of points in the Euclidean plane is a simple polygon with the given points as its vertices. A polygonalization may also be called a polygonization, simple polygonalization, Hamiltonian polygon, non-crossing Hamiltonian cycle, or crossing-free straight-edge spanning cycle. Every point set that does not lie on a single line has at least one polygonalization, which can be found in polynomial time. For points in convex position, there is only one, but for some other point sets there can be exponentially many. Finding an optimal polygonalization under several natural optimization criteria is a hard problem, including as a special case the travelling salesman problem. The complexity of counting all polygonalizations remains unknown. Definition A polygonalization is a simple polygon having a given set of points in the Euclidean plane as its set of vertices. A polygon may be described by a cyclic order on its vertices, which are connected in consecutive pairs by line segments, the edges of the polygon. A polygon, defined in this way, is "simple" if the only intersection points of these line segments are at shared endpoints. Some authors only consider polygonalizations for points that are in general position, meaning that no three are on a line. With this assumption, the angle between two consecutive segments of the polygon cannot be 180°. However, when point sets with collinearities are considered, it is generally allowed for their polygonalizations to have 180° angles at some points. When this happens, these points are still considered to be vertices, rather than being interior to edges. Existence observed that every finite point set with no three in a line forms the vertices of a simple polygon. However, requiring no three to be in a line is unnecessarily strong. Instead, all that is required for the existence of a polygonalization (allowing 180° angles) is that the points do not all lie on one line. If they do not, then they have a polygonalization that can be constructed in polynomial time. One way of constructing a polygonalization is to choose any point in the convex hull of (not necessarily one of the given points). Then radially ordering the points around (breaking ties by distance from q) produces the cyclic ordering of a star-shaped polygon through all the given points, with in its kernel. The same idea of sorting points radially around a central point is used in some versions of the Graham scan convex hull algorithm, and can be performed in time. Polygonalizations that avoid 180° angles do not always exist. For instance, for and square grids, all polygonalizations use 180° angles. As well as star-shaped polygonalizations, every non-collinear set of points has a polygonalization that is a monotone polygon. This means that, with respect to some straight line (which may be taken as the -axis) every perpendicular line to the reference line intersects the polygon in a singl
https://en.wikipedia.org/wiki/Kyra%20Edwards	Kyra Edwards (born 12 August 1997) is a British sculler. She holds a degree in statistics from the University of California, Los Angeles. Edwards is outspoken about being a role model for black and LGBTQ athletes and advocates for improved diversity in rowing. She has criticized British Rowing's recruiting system and the high cost of equipment and coaching for contributing to limited inclusion of ethnic minorities. She is in a relationship with Saskia Budgett, another British rower. Edwards and Budgett competed together at the 2022 European Championships and 2022 World Rowing Championship. References Living people 1997 births British female rowers Black British sportswomen English LGBT sportspeople LGBT rowers
https://en.wikipedia.org/wiki/Awodey	Awodey is a surname. Notable people with the surname include: Marc Awodey (1960–2012), American artist and poet Steve Awodey (born 1959), American mathematician and philosopher of mathematics
https://en.wikipedia.org/wiki/Laura%20Grigori	Laura Grigori is a French-Romanian applied mathematician and computer scientist known for her research on numerical linear algebra and communication-avoiding algorithms. She is a director of research for the French Institute for Research in Computer Science and Automation (INRIA) in Paris, and heads the "Alpines" scientific computing project jointly affiliated with INRIA and the of Sorbonne University. Education and career Grigori earned her Ph.D. from Henri Poincaré University in 2001. Her dissertation, Prédiction de structure et algorithmique parallèle pour la factorisation LU des matrices creuses, concerned parallel algorithms for LU decomposition of sparse matrices, and was supervised by . After postdoctoral research at the University of California, Berkeley and the Lawrence Berkeley National Laboratory, she became a researcher for INRIA in 2004, and became the head of the Alpines project in 2013. In 2021, she will join the SIAM Council as a Member-at-Large. Recognition A 2012 paper on communication-avoiding algorithms for parallel matrix decomposition by Grigori with James Demmel, Mark Hoemmen, and Julien Langou won the 2016 Society for Industrial and Applied Mathematics (SIAM) Activity Group on Supercomputing Best Paper Prize for the best paper on parallel scientific and engineering computing from the previous four years. Grigori has been an invited plenary speaker at many international conferences on scientific computing. In 2020 Grigori was named a SIAM Fellow "for contributions to numerical linear algebra, including communication-avoiding algorithms". References External links Year of birth missing (living people) Living people French mathematicians French women mathematicians Fellows of the Society for Industrial and Applied Mathematics
https://en.wikipedia.org/wiki/Danial%20Scott%20Crichton	Danial Scott Crichton (born 11 April 2003) is a Singaporean footballer who plays as a defender for NCAA Division I club UTRGV. Career statistics Club Notes International statistics U19 International caps References 2003 births Living people Singaporean men's footballers Men's association football defenders Singapore Premier League players Warriors FC players Young Lions FC players
https://en.wikipedia.org/wiki/Diego%20Ca%C3%B1ete	Diego Daniel Cañete (born 25 June 1986) is an Argentine footballer who currently plays as a forward for Metro Gallery. Career statistics Club Notes References 1986 births Living people Argentine men's footballers Argentine expatriate men's footballers Men's association football forwards Hong Kong Premier League players Club Atlético Independiente footballers Racing de Olavarría footballers Club Atlético Belgrano footballers Happy Valley AA players Hong Kong Rangers FC players Hong Kong First Division League players Argentine expatriate sportspeople in Hong Kong Expatriate men's footballers in Hong Kong Footballers from Buenos Aires Province
https://en.wikipedia.org/wiki/Nemanja%20Kosti%C4%87	Nemanja Kostić (, born 23 April 2004) is a Serbian footballer who currently plays as a goalkeeper for Radnik Surdulica. Career statistics Club Notes References 2004 births Living people Serbian men's footballers Men's association football goalkeepers Serbian SuperLiga players FK Radnik Surdulica players Place of birth missing (living people)
https://en.wikipedia.org/wiki/Ognjen%20Mijailovi%C4%87	Ognjen Mijailović (, born 30 January 2003) is a Serbian footballer who currently plays as a midfielder for FK Rad. Career statistics Club Notes References 2003 births Living people Serbian men's footballers Men's association football midfielders Serbian SuperLiga players FK Mačva Šabac players
https://en.wikipedia.org/wiki/Bogdan%20Stojkovi%C4%87	Bogdan Stojković (, born 14 October 2002) is a Serbian footballer who plays as a midfielder for Hajduk Veljko Negotin on loan from Radnik Surdulica. Career statistics Club Notes References 2002 births Living people Serbian men's footballers Men's association football midfielders Serbian SuperLiga players FK Radnik Surdulica players Place of birth missing (living people)
https://en.wikipedia.org/wiki/Mitar%20Ergela%C5%A1	Mitar Ergelaš (; born 5 August 2002) is a Serbian footballer who currently plays as a midfielder for Novi Pazar on loan from Čukarički. Career statistics Club Notes References 2002 births Living people Serbian men's footballers Serbia men's youth international footballers Men's association football midfielders Serbian SuperLiga players FK Vojvodina players FK Čukarički players People from Ruma Footballers from Srem District Serbia men's under-21 international footballers
https://en.wikipedia.org/wiki/Jakub%20Biero%C5%84ski	Jakub Bieroński (born 18 April 2003) is a Polish professional footballer who plays as a midfielder for GKS Tychy. Career statistics Club References 2003 births People from Staszów County Footballers from Świętokrzyskie Voivodeship Living people Polish men's footballers Men's association football midfielders Podbeskidzie Bielsko-Biała players GKS Tychy players Ekstraklasa players I liga players Poland men's youth international footballers
https://en.wikipedia.org/wiki/%C5%81ukasz%20Gajda	Łukasz Gajda (born 19 March 2003) is a Polish professional footballer who plays as a midfielder for IV liga club Odra Wodzisław Śląski. Career statistics Club Notes References 2003 births Living people Polish men's footballers Men's association football midfielders GKS Jastrzębie players Bruk-Bet Termalica Nieciecza players Odra Wodzisław Śląski players I liga players III liga players IV liga players People from Rydułtowy Footballers from Silesian Voivodeship
https://en.wikipedia.org/wiki/Jakub%20Szczepaniak	Jakub Szczepaniak (born 20 May 2003) is a Polish professional footballer who plays as a defender for Stal Grudziądz. Career statistics Club Notes References 2003 births Living people People from Grudziądz Polish men's footballers Men's association football defenders Olimpia Grudziądz players I liga players Footballers from Kuyavian-Pomeranian Voivodeship
https://en.wikipedia.org/wiki/Gerg%C5%91%20Irimi%C3%A1s	Irimiás Gergő István (born 8 September 2001) is a Hungarian footballer who currently plays as a midfielder for Honvéd. Career statistics Club References 2001 births Living people Hungarian men's footballers Men's association football midfielders Nemzeti Bajnokság I players Budapest Honvéd FC players FC Ajka players
https://en.wikipedia.org/wiki/Reality%20Asemota	Reality Arase Asemota (born 16 December 2002) is a Nigerian footballer who plays as a midfielder for Austrian club Grazer AK. Career statistics Club Notes References 2002 births Living people Nigerian men's footballers Men's association football midfielders Grazer AK players 2. Liga (Austria) players Austrian Regionalliga players Nigerian expatriate men's footballers Expatriate men's footballers in Austria Nigerian expatriate sportspeople in Austria
https://en.wikipedia.org/wiki/Quasibarrelled%20space	In functional analysis and related areas of mathematics, quasibarrelled spaces are topological vector spaces (TVS) for which every bornivorous barrelled set in the space is a neighbourhood of the origin. Quasibarrelled spaces are studied because they are a weakening of the defining condition of barrelled spaces, for which a form of the Banach–Steinhaus theorem holds. Definition A subset of a topological vector space (TVS) is called bornivorous if it absorbs all bounded subsets of ; that is, if for each bounded subset of there exists some scalar such that A barrelled set or a barrel in a TVS is a set which is convex, balanced, absorbing and closed. A quasibarrelled space is a TVS for which every bornivorous barrelled set in the space is a neighbourhood of the origin. Properties A locally convex Hausdorff quasibarrelled space that is sequentially complete is barrelled. A locally convex Hausdorff quasibarrelled space is a Mackey space, quasi-M-barrelled, and countably quasibarrelled. A locally convex quasibarrelled space that is also a σ-barrelled space is necessarily a barrelled space. A locally convex space is reflexive if and only if it is semireflexive and quasibarrelled. Characterizations A Hausdorff topological vector space is quasibarrelled if and only if every bounded closed linear operator from into a complete metrizable TVS is continuous. By definition, a linear operator is called closed if its graph is a closed subset of For a locally convex space with continuous dual the following are equivalent: is quasibarrelled. Every bounded lower semi-continuous semi-norm on is continuous. Every -bounded subset of the continuous dual space is equicontinuous. If is a metrizable locally convex TVS then the following are equivalent: The strong dual of is quasibarrelled. The strong dual of is barrelled. The strong dual of is bornological. Examples and sufficient conditions Every Hausdorff barrelled space and every Hausdorff bornological space is quasibarrelled. Thus, every metrizable TVS is quasibarrelled. Note that there exist quasibarrelled spaces that are neither barrelled nor bornological. There exist Mackey spaces that are not quasibarrelled. There exist distinguished spaces, DF-spaces, and -barrelled spaces that are not quasibarrelled. The strong dual space of a Fréchet space is distinguished if and only if is quasibarrelled. Counter-examples There exists a DF-space that is not quasibarrelled. There exists a quasibarrelled DF-space that is not bornological. There exists a quasibarrelled space that is not a σ-barrelled space. See also References Bibliography Topological vector spaces
https://en.wikipedia.org/wiki/Schwartz%20topological%20vector%20space	In functional analysis and related areas of mathematics, Schwartz spaces are topological vector spaces (TVS) whose neighborhoods of the origin have a property similar to the definition of totally bounded subsets. These spaces were introduced by Alexander Grothendieck. Definition A Hausdorff locally convex space with continuous dual , is called a Schwartz space if it satisfies any of the following equivalent conditions: For every closed convex balanced neighborhood of the origin in , there exists a neighborhood of in such that for all real , can be covered by finitely many translates of . Every bounded subset of is totally bounded and for every closed convex balanced neighborhood of the origin in , there exists a neighborhood of in such that for all real , there exists a bounded subset of such that . Properties Every quasi-complete Schwartz space is a semi-Montel space. Every Fréchet Schwartz space is a Montel space. The strong dual space of a complete Schwartz space is an ultrabornological space. Examples and sufficient conditions Vector subspace of Schwartz spaces are Schwartz spaces. The quotient of a Schwartz space by a closed vector subspace is again a Schwartz space. The Cartesian product of any family of Schwartz spaces is again a Schwartz space. The weak topology induced on a vector space by a family of linear maps valued in Schwartz spaces is a Schwartz space if the weak topology is Hausdorff. The locally convex strict inductive limit of any countable sequence of Schwartz spaces (with each space TVS-embedded in the next space) is again a Schwartz space. Counter-examples Every infinite-dimensional normed space is not a Schwartz space. There exist Fréchet spaces that are not Schwartz spaces and there exist Schwartz spaces that are not Montel spaces. See also References Bibliography Functional analysis Topological vector spaces
https://en.wikipedia.org/wiki/Marcia%20Gumpertz	Marcia Lynn Gumpertz is an American statistician known for her research on agricultural statistics, spatial analysis, the design of experiments, and plant disease epidemiology. She has also studied employment issues for women and members of underrepresented minorities in science and technology. She is a professor of statistics at North Carolina State University. Education and career Gumpertz earned a bachelor's degree in philosophy from the University of California, Berkeley in 1973, and a master's degree in statistics from Oregon State University in 1979. She completed her Ph.D. at North Carolina State University in 1989. Her dissertation, Simple Estimators for the Linear Random Coefficient Regression Model and the Nonlinear Model with Variance Components, was jointly supervised by Sastry Pantula and John Rawlings. She worked as a scientist for Northrop Services Inc., in Oregon, from 1980 to 1984, doing research for the Environmental Protection Agency, and joined the North Carolina State University on completing her doctorate in 1989. At North Carolina State University, she has also served as assistant vice provost for faculty diversity. Book With Francis G. Giesbrecht, Gumpertz is the co-author of the book Planning, Construction, and Statistical Analysis of Comparative Experiments (Wiley, 2004). Recognition Gumpertz was president of Mu Sigma Rho, the US national statistics honor society, for 2004–2006. She was elected as a Fellow of the American Statistical Association in 2006, and given the Distinguished Achievement Award of the American Statistical Association Section on Statistics and the Environment in 2008. References External links Home page Year of birth missing (living people) Living people American statisticians Women statisticians University of California, Berkeley alumni Oregon State University alumni North Carolina State University alumni North Carolina State University faculty Fellows of the American Statistical Association
https://en.wikipedia.org/wiki/Distinguished%20space	In functional analysis and related areas of mathematics, distinguished spaces are topological vector spaces (TVSs) having the property that weak-* bounded subsets of their biduals (that is, the strong dual space of their strong dual space) are contained in the weak-* closure of some bounded subset of the bidual. Definition Suppose that is a locally convex space and let and denote the strong dual of (that is, the continuous dual space of endowed with the strong dual topology). Let denote the continuous dual space of and let denote the strong dual of Let denote endowed with the weak-* topology induced by where this topology is denoted by (that is, the topology of pointwise convergence on ). We say that a subset of is -bounded if it is a bounded subset of and we call the closure of in the TVS the -closure of . If is a subset of then the polar of is A Hausdorff locally convex space is called a distinguished space if it satisfies any of the following equivalent conditions: If is a -bounded subset of then there exists a bounded subset of whose -closure contains . If is a -bounded subset of then there exists a bounded subset of such that is contained in which is the polar (relative to the duality ) of The strong dual of is a barrelled space. If in addition is a metrizable locally convex topological vector space then this list may be extended to include: (Grothendieck) The strong dual of is a bornological space. Sufficient conditions All normed spaces and semi-reflexive spaces are distinguished spaces. LF spaces are distinguished spaces. The strong dual space of a Fréchet space is distinguished if and only if is quasibarrelled. Properties Every locally convex distinguished space is an H-space. Examples There exist distinguished Banach spaces spaces that are not semi-reflexive. The strong dual of a distinguished Banach space is not necessarily separable; is such a space. The strong dual space of a distinguished Fréchet space is not necessarily metrizable. There exists a distinguished semi-reflexive non-reflexive -quasibarrelled Mackey space whose strong dual is a non-reflexive Banach space. There exist H-spaces that are not distinguished spaces. Fréchet Montel spaces are distinguished spaces. See also References Bibliography Topological vector spaces
https://en.wikipedia.org/wiki/Vata%C5%A1a	Vataša () is a village in the municipality of Kavadarci, North Macedonia. Demographics According to the statistics of the Bulgarian ethnographer Vasil Kanchov from 1900, the settlement is recorded as "Vatoša" and as having 1808 inhabitants, 1142 Christian Bulgarians, 618 Muslim Bulgarians and 48 Romani. On the 1927 ethnic map of Leonhard Schulze-Jena, the village is shown as having a mixed population of Christian Bulgarians and Turks. According to the 2002 census, the village had a total of 3502 inhabitants. Ethnic groups in the village include: Macedonians 3224 Turks 13 Serbs 20 Romani 238 Aromanians 1 Others 6 Sports The local football club FK Gaber plays in the Macedonian Third Football League. References Villages in Kavadarci Municipality
https://en.wikipedia.org/wiki/Ultrabarrelled%20space	In functional analysis and related areas of mathematics, an ultrabarrelled space is a topological vector spaces (TVS) for which every ultrabarrel is a neighbourhood of the origin. Definition A subset of a TVS is called an ultrabarrel if it is a closed and balanced subset of and if there exists a sequence of closed balanced and absorbing subsets of such that for all In this case, is called a defining sequence for A TVS is called ultrabarrelled if every ultrabarrel in is a neighbourhood of the origin. Properties A locally convex ultrabarrelled space is a barrelled space. Every ultrabarrelled space is a quasi-ultrabarrelled space. Examples and sufficient conditions Complete and metrizable TVSs are ultrabarrelled. If is a complete locally bounded non-locally convex TVS and if is a closed balanced and bounded neighborhood of the origin, then is an ultrabarrel that is not convex and has a defining sequence consisting of non-convex sets. Counter-examples There exist barrelled spaces that are not ultrabarrelled. There exist TVSs that are complete and metrizable (and thus ultrabarrelled) but not barrelled. See also Citations Bibliography Topological vector spaces
https://en.wikipedia.org/wiki/Vozarci	Vozarci () is a village in the municipality of Kavadarci, North Macedonia. Demographics According to the statistics of Bulgarian ethnographer Vasil Kanchov from 1900, 195 inhabitants lived in Vozarci, all Christian Bulgarians.According to the 2002 census, the village had a total of 910 inhabitants. Ethnic groups in the village include: Macedonians 904 Serbs 5 Others 1 References Villages in Kavadarci Municipality
https://en.wikipedia.org/wiki/Begni%C5%A1te	Begnište () is a village in the municipality of Kavadarci, North Macedonia. Demographics According to the statistics of the Bulgarian ethnographer Vasil Kanchov from 1900 the settlement is recorded as "Begništa" in which 860 inhabitants lived, all Cristian Bulgarians. On the 1927 ethnic map of Leonhard Schulze-Jena, the village is written as "Beglišta" and shown as a Christian Bulgarian village.According to the 2002 census, the village had a total of 369 inhabitants. Ethnic groups in the village include: Macedonians 368 Serbs 1 Etymology The name of the village of Begnište derives from the combination of the word Beg which is the Turkic title for a chieftain, and the suffix (n)iste. References Villages in Kavadarci Municipality
https://en.wikipedia.org/wiki/Gli%C5%A1i%C4%87%2C%20Kavadarci	Glišić () is a village in the municipality of Kavadarci, North Macedonia. Demographics According to the statistics of the Bulgarian ethnographer Vasil Kanchov from 1900 the settlement is recorded as Glišik (Глишикъ) and as having 284 inhabitants, 200 being Christian Bulgarians and 84 being Muslim Bulgarians. On the 1927 ethnic map of Leonhard Schulze-Jena, the village is shown as having a mixed population of Bulgarians and Muslim Bulgarians. According to the 2002 census, the village had a total of 1562 inhabitants. Ethnic groups in the village include: Macedonians 1547 Serbs 5 Aromanians 4 Others 6 References Villages in Kavadarci Municipality
https://en.wikipedia.org/wiki/Marena	Marena () is a village in the municipality of Kavadarci, North Macedonia. Demographics According to the statistics of Bulgarian ethnographer Vasil Kanchov from 1900, 576 inhabitants lived in Marena, 300 Muslim Bulgarians, 270 Christian Bulgarians and 6 Romani. On the 1927 ethnic map of Leonhard Schulze-Jena, the village is shown as having a mixed population of Bulgarians and Muslim Bulgarians. According to the 2002 census, the village had a total of 997 inhabitants. Ethnic groups in the village include: Macedonians 903 Serbs 21 Romani 71 Others 2 Sports Local football club FK Marena play in the Macedonian Third League (Center Division). References Villages in Kavadarci Municipality
https://en.wikipedia.org/wiki/Sopot%2C%20Kavadarci	Sopot () is a village in the municipality of Kavadarci, North Macedonia. Demographics According to the statistics of Bulgarian ethnographer Vasil Kanchov from 1900, 360 inhabitants lived in Sopot, 225 Muslim Bulgarians, 130 Christian Bulgarians and 5 Romani. According to the 2002 census, the village had a total of 804 inhabitants. Ethnic groups in the village include: Macedonians 800 Serbs 1 Romani 2 Others 1 References Villages in Kavadarci Municipality
https://en.wikipedia.org/wiki/Ivankovci	Ivankovci () is a village in the municipality of Veles, North Macedonia. Demographics According to the statistics of Bulgarian ethnographer Vasil Kanchov from 1900, 1200 inhabitants lived in Ivankovci, all Turks. On the 1927 ethnic map of Leonhard Schulze-Jena, the village is written as "Jovanli" and shown as a Turkish village. According to the 2002 census, the village had a total of 857 inhabitants. 685 were ethnic Macedonians and 172 were ethnic Serbs. References External links Villages in Veles Municipality Serb communities in North Macedonia
https://en.wikipedia.org/wiki/Martin%20Krizic	Martin Krizic (born 29 December 2003) is an Austrian footballer currently playing as a midfielder for Dornbirn. Career statistics Club Notes References 2003 births Living people Austrian men's footballers Men's association football midfielders 2. Liga (Austria) players
https://en.wikipedia.org/wiki/Quasi-ultrabarrelled%20space	In functional analysis and related areas of mathematics, a quasi-ultrabarrelled space is a topological vector spaces (TVS) for which every bornivorous ultrabarrel is a neighbourhood of the origin. Definition A subset B0 of a TVS X is called a bornivorous ultrabarrel if it is a closed, balanced, and bornivorous subset of X and if there exists a sequence of closed balanced and bornivorous subsets of X such that Bi+1 + Bi+1 ⊆ Bi for all i = 0, 1, .... In this case, is called a defining sequence for B0. A TVS X is called quasi-ultrabarrelled if every bornivorous ultrabarrel in X is a neighbourhood of the origin. Properties A locally convex quasi-ultrabarrelled space is quasi-barrelled. Examples and sufficient conditions Ultrabarrelled spaces and ultrabornological spaces are quasi-ultrabarrelled. Complete and metrizable TVSs are quasi-ultrabarrelled. See also Barrelled space Countably barrelled space Countably quasi-barrelled space Infrabarreled space Ultrabarrelled space Uniform boundedness principle#Generalisations References Topological vector spaces
https://en.wikipedia.org/wiki/Aleksa%20%C4%90urasovi%C4%87	Aleksa Đurasović (, born 23 December 2002) is a Serbian footballer who plays as a midfielder for Spartak Subotica. Career statistics Club Notes References 2002 births Living people Serbian men's footballers Serbia men's youth international footballers Men's association football midfielders Serbian SuperLiga players FK Spartak Subotica players Serbia men's under-21 international footballers Place of birth missing (living people)
https://en.wikipedia.org/wiki/Niall%20Reid-Stephen	Niall Reid-Stephen (born 8 September 2001) is a Bajan international footballer. Career statistics Club Notes International References External links Niall Reid-Stephen at Caribbean Football Database 2001 births Living people Barbadian men's footballers Barbados men's international footballers Barbados men's youth international footballers Men's association football midfielders UWI Blackbirds FC players Sportspeople from Bridgetown Barbados men's under-20 international footballers
https://en.wikipedia.org/wiki/Luis%20Vega%20%28footballer%29	Luis Fernando Vega Villacorta (born 28 February 2002) is a Honduran footballer currently playing as a midfielder for F.C. Motagua and the Honduras national team. Career statistics Club Notes International References Living people 2002 births Honduran men's footballers Honduras men's youth international footballers Honduras men's international footballers Men's association football midfielders Liga Nacional de Fútbol Profesional de Honduras players C.D. Marathón players F.C. Motagua players Place of birth missing (living people) 2023 CONCACAF Gold Cup players
https://en.wikipedia.org/wiki/Miguel%20Carrasco	Miguel Ángel Carrasco Reyes (born on 10 June 2003) is a Honduran footballer currently playing as a midfielder for Real España. Career statistics Club Notes References Living people 2003 births Honduran men's footballers Honduras men's youth international footballers Men's association football midfielders Liga Nacional de Fútbol Profesional de Honduras players Real C.D. España players 21st-century Honduran people People from Puerto Cortés
https://en.wikipedia.org/wiki/Metrizable%20topological%20vector%20space	In functional analysis and related areas of mathematics, a metrizable (resp. pseudometrizable) topological vector space (TVS) is a TVS whose topology is induced by a metric (resp. pseudometric). An LM-space is an inductive limit of a sequence of locally convex metrizable TVS. Pseudometrics and metrics A pseudometric on a set is a map satisfying the following properties: ; Symmetry: ; Subadditivity: A pseudometric is called a metric if it satisfies: Identity of indiscernibles: for all if then Ultrapseudometric A pseudometric on is called a ultrapseudometric or a strong pseudometric if it satisfies: Strong/Ultrametric triangle inequality: Pseudometric space A pseudometric space is a pair consisting of a set and a pseudometric on such that 's topology is identical to the topology on induced by We call a pseudometric space a metric space (resp. ultrapseudometric space) when is a metric (resp. ultrapseudometric). Topology induced by a pseudometric If is a pseudometric on a set then collection of open balls: as ranges over and ranges over the positive real numbers, forms a basis for a topology on that is called the -topology or the pseudometric topology on induced by : If is a pseudometric space and is treated as a topological space, then unless indicated otherwise, it should be assumed that is endowed with the topology induced by Pseudometrizable space A topological space is called pseudometrizable (resp. metrizable, ultrapseudometrizable) if there exists a pseudometric (resp. metric, ultrapseudometric) on such that is equal to the topology induced by Pseudometrics and values on topological groups An additive topological group is an additive group endowed with a topology, called a group topology, under which addition and negation become continuous operators. A topology on a real or complex vector space is called a vector topology or a TVS topology if it makes the operations of vector addition and scalar multiplication continuous (that is, if it makes into a topological vector space). Every topological vector space (TVS) is an additive commutative topological group but not all group topologies on are vector topologies. This is because despite it making addition and negation continuous, a group topology on a vector space may fail to make scalar multiplication continuous. For instance, the discrete topology on any non-trivial vector space makes addition and negation continuous but do not make scalar multiplication continuous. Translation invariant pseudometrics If is an additive group then we say that a pseudometric on is translation invariant or just invariant if it satisfies any of the following equivalent conditions: Translation invariance: ; Value/G-seminorm If is a topological group the a value or G-seminorm on (the G stands for Group) is a real-valued map with the following properties: Non-negative: Subadditive: ; Symmetric: where we call a G-seminorm a G-norm if it satis
https://en.wikipedia.org/wiki/Erlend%20Hustad	Erlend Hustad (born 3 January 1997) is a Norwegian football player who plays as a striker for Jerv in the Eliteserien. Career statistics Club Notes References External links 1997 births Living people Footballers from Molde Norwegian men's footballers Norway men's youth international footballers Molde FK players Notodden FK players SK Brann players Nest-Sotra Fotball players Sandnes Ulf players FK Jerv players Norwegian Second Division players Norwegian First Division players Eliteserien players Men's association football forwards
https://en.wikipedia.org/wiki/Jakob%20Breum	Jakob Breum Martinsen (born 17 November 2003) is a Danish footballer currently playing as a winger for Go Ahead Eagles. Career statistics Club Notes References External links 2003 births Living people Danish men's footballers Danish expatriate men's footballers Denmark men's youth international footballers Men's association football forwards Danish Superliga players Næsby Boldklub players Odense Boldklub players Go Ahead Eagles players Danish expatriate sportspeople in the Netherlands Expatriate men's footballers in the Netherlands
https://en.wikipedia.org/wiki/Ha%20Nam%20%28footballer%29	Ha Nam (; born 7 December 1998) is a Korean footballer currently playing as a forward for Gyeongnam FC. Career statistics Club References 1998 births Living people South Korean men's footballers Men's association football forwards K League 2 players FC Anyang players Gyeongnam FC players
https://en.wikipedia.org/wiki/Neto%20Maranh%C3%A3o	Roque Alves de Lima Neto (8 January 1984 – 9 January 2013), commonly known as Neto Maranhão, was a Brazilian footballer. He died after suffering a heart attack during training. Career statistics Club Notes References 1984 births 2013 deaths Brazilian men's footballers Men's association football midfielders Campeonato Brasileiro Série B players Clube de Regatas Brasil players Maranhão Atlético Clube players Santa Cruz Futebol Clube players Campinense Clube players Atlético Monte Azul players América Futebol Clube (MG) players Salgueiro Atlético Clube players Atlético Clube Coríntians players Treze Futebol Clube players Associação Cultural e Desportiva Potiguar players Association football players who died while playing Sport deaths in Brazil
https://en.wikipedia.org/wiki/Tonga%20national%20football%20team%20results	This page details the match results and statistics of the Tonga national football team. Key Key to matches Att.=Match attendance (H)=Home ground (A)=Away ground (N)=Neutral ground Key to record by opponent Pld=Games played W=Games won D=Games drawn L=Games lost GF=Goals for GA=Goals against Results Tonga's score is shown first in each case. Notes Record by opponent References results National association football team results
https://en.wikipedia.org/wiki/Andrew%20Ng%20%28physicist%29	Andrew Kam-hung Ng is a Canadian physicist who is a professor emeritus in the Department of Physics and Astronomy at the Peter Wall Institute for Advanced Studies. Education Ng studied mathematics and physics at the University of Hong Kong and pursued graduate study in plasma physics at the University of Western Ontario, completing his doctoral thesis, An Investigation Of Anomalous Scattering Of Laser Radiation By A Theta-pinch Plasma, in 1977. Career Ng was a postdoctoral researcher at University of Alberta prior to joining the University of British Columbia faculty in 1980. He was elected a fellow of the American Physical Society in 1998, "[f]or original contributions to the understanding of optical probing of shock waves and two-temperature non-equilibrium shock states, and for the use of laser-driven shocks in advancing research on high density matter." Upon retirement from the University of British Columbia, Ng was granted emeritus status. References 20th-century Canadian physicists Fellows of the American Physical Society Hong Kong expatriates in Canada Academic staff of the University of British Columbia University of Western Ontario alumni Alumni of the University of Hong Kong Year of birth missing (living people) Living people
https://en.wikipedia.org/wiki/Virginia%20A.%20Clark	Virginia Ann Clark (née Leader, 1928–2018) was an American statistician, professor emeritus of biostatistics at the University of California, Los Angeles, and the coauthor of several books on statistics. Life Clark was born in 1928, in Grand Rapids, Michigan. After earning a bachelor's degree in mathematics from the University of Michigan in 1950, she began working for the United States Atomic Energy Commission in Hanford, Washington. She studied the biostatistics of birth control at Harvard University in the late 1950s, earning a master's degree, and then completing a doctorate in biomedical statistics at the University of California, Los Angeles. She became a faculty member at the University of California, Los Angeles, and retired in the 1980s to become an emeritus professor of biostatistics. After retirement she and her husband lived in Sequim, Washington, where she died on January 24, 2018. Books Clark is the coauthor of: Applied Statistics: Analysis of Variance and Regression (with Olive Jean Dunn, 1974; 3rd ed. with Ruth Mickey, 2004) Survival Distributions: Reliability Applications in the Biomedical Sciences (with Alan J. Gross, 1976) Computer-Aided Multivariate Analysis (with Abdelmomem Afifi, 1984; 4th ed. with Susanne May, 2004) Processing Data: The Survey Example (with Linda B. Bourque, 1992) Basic Statistics: A Primer for the Biomedical Sciences (originally by Olive Jean Dunn; 4th ed. with Clark, 2009) Practical Multivariate Analysis (with Abdelmomem Afifi and Susanne May, 5th ed., 2012) Recognition Clark became a Fellow of the American Statistical Association in 1974. References 1928 births 2018 deaths People from Grand Rapids, Michigan American women statisticians University of Michigan alumni Harvard University alumni University of California, Los Angeles alumni UCLA School of Public Health faculty Fellows of the American Statistical Association 21st-century American women
https://en.wikipedia.org/wiki/Tensor%20sketch	In statistics, machine learning and algorithms, a tensor sketch is a type of dimensionality reduction that is particularly efficient when applied to vectors that have tensor structure. Such a sketch can be used to speed up explicit kernel methods, bilinear pooling in neural networks and is a cornerstone in many numerical linear algebra algorithms. Mathematical definition Mathematically, a dimensionality reduction or sketching matrix is a matrix , where , such that for any vector with high probability. In other words, preserves the norm of vectors up to a small error. A tensor sketch has the extra property that if for some vectors such that , the transformation can be computed more efficiently. Here denotes the Kronecker product, rather than the outer product, though the two are related by a flattening. The speedup is achieved by first rewriting , where denotes the elementwise (Hadamard) product. Each of and can be computed in time and , respectively; including the Hadamard product gives overall time . In most use cases this method is significantly faster than the full requiring time. For higher-order tensors, such as , the savings are even more impressive. History The term tensor sketch was coined in 2013 describing a technique by Rasmus Pagh from the same year. Originally it was understood using the fast Fourier transform to do fast convolution of count sketches. Later research works generalized it to a much larger class of dimensionality reductions via Tensor random embeddings. Tensor random embeddings were introduced in 2010 in a paper on differential privacy and were first analyzed by Rudelson et al. in 2012 in the context of sparse recovery. Avron et al. were the first to study the subspace embedding properties of tensor sketches, particularly focused on applications to polynomial kernels. In this context, the sketch is required not only to preserve the norm of each individual vector with a certain probability but to preserve the norm of all vectors in each individual linear subspace. This is a much stronger property, and it requires larger sketch sizes, but it allows the kernel methods to be used very broadly as explored in the book by David Woodruff. Tensor random projections The face-splitting product is defined as the tensor products of the rows (was proposed by V. Slyusar in 1996 for radar and digital antenna array applications). More directly, let and be two matrices. Then the face-splitting product is The reason this product is useful is the following identity: where is the element-wise (Hadamard) product. Since this operation can be computed in linear time, can be multiplied on vectors with tensor structure much faster than normal matrices. Construction with fast Fourier transform The tensor sketch of Pham and Pagh computes , where and are independent count sketch matrices and is vector convolution. They show that, amazingly, this equals – a count sketch of the tensor product! It turns out that thi
https://en.wikipedia.org/wiki/Ruth%20Chabay	Ruth Wright Chabay (born 1949) is an American physics educator known for her work in educational technology and as the coauthor of the calculus-based physics textbook Matter and Interactions. She is professor emerita of physics at North Carolina State University. Education and career Chabay earned a bachelor's degree in chemistry in 1970 from the University of Chicago, and completed a doctorate in physical chemistry at the University of Illinois at Urbana–Champaign in 1975. Her dissertation was The Design and Evaluation of Computer-Based Chemistry Lessons, and was supervised by Stanley G. Smith. From 1975 to 1977 she worked with the PLATO computer-aided instruction system at the Computer-Based Education Research Laboratory of the University of Illinois, and from 1977 to 1980 she was a researcher at the Laboratory of Theoretical Biology in the National Cancer Institute. After working as a software developer for four years, she returned to academic research in the psychology department of Stanford University from 1984 to 1987, and in the Center for Design of Educational Computing and the Center for Innovation in Learning at Carnegie Mellon University from 1987 to 2002. She became a professor of physics at North Carolina State University in 2002, and retired to become a professor emerita in 2010. Textbook With Bruce A. Sherwood, also of North Carolina State University, Chabay is the author of the two-volume textbook Matter & Interactions (Wiley, 2002). Recognition Chabay was elected as a Fellow of the American Physical Society in 2009 "for contributions to the development of computer-based learning and tutorial systems, visualizations, and curricula that have modernized and improved how students learn physics". In 2014, the American Association of Physics Teachers gave Chabay and her coauthor Bruce Sherwood the David Halliday and Robert Resnick Award for Excellence in Undergraduate Physics Teaching. References External links Home page 1949 births Living people 20th-century American physicists American women physicists University of Chicago alumni North Carolina State University faculty 20th-century American women scientists 21st-century American physicists 21st-century American women scientists American textbook writers Women textbook writers American women academics University of Illinois College of Liberal Arts and Sciences alumni
https://en.wikipedia.org/wiki/Maura%20Stokes	Maura Ellen Stokes is an American statistician and novelist. She is a senior director of research and development for the SAS Institute, the co-author of the statistics book Categorical Data Analysis using SAS, and a Fellow of the American Statistical Association. She is also the author of the early-teen novel Fadeaway, published by Simon & Schuster in 2018. Education and statistical career Stokes earned a bachelor's degree, master's degree, and Ph.D. in biostatistics from the University of North Carolina in 1978, 1979, and 1986 respectively. She also has an MFA in writing from the Vermont College of Fine Arts. After working for the Center for Survey Statistics in North Carolina from 1982 to 1985, she has been affiliated with the SAS Institute since 1986, and has held an adjunct faculty position at the University of North Carolina since 1987. Books Stokes is the author of: Categorical Data Analysis Using the SAS system (with Charles S. Davis and Gary G. Koch, 1995; 2nd ed., 2000; 3rd ed., Categorical Data Analysis Using SAS, 2012) Fadeaway (2018) Recognition Stokes was elected as a Fellow of the American Statistical Association in 2008. In 2016, the American Statistical Association gave her their Founders Award for distinguished service to the organization, "for sustained, thoughtful contributions to the expansion of professional development opportunities for practicing statisticians; for outstanding leadership in the development of the Applied Conference on Statistical Practice, which extends the reach of the ASA to nonstatisticians as well as statisticians; for commitment to enhancing the relevance of the ASA to applied statisticians as evidenced by her leadership in the creation of the ASA's Professional Development Guidelines; for insightful teaching of LearnStat and JSM short courses; and for continued mentoring at the local and national levels". References External links Home page Year of birth missing (living people) Living people American statisticians Women statisticians 21st-century American novelists American women novelists American young adult novelists Fellows of the American Statistical Association 21st-century American women writers
https://en.wikipedia.org/wiki/Julian%20Weigel	Julian Weigel (born 14 July 2001) is a German professional footballer who plays as a midfielder for 1. FC Lokomotive Leipzig. Career statistics References 2001 births Living people German men's footballers Men's association football midfielders 3. Liga players Regionalliga players FC Rot-Weiß Erfurt players 1. FC Magdeburg players VfB Germania Halberstadt players 1. FC Lokomotive Leipzig players
https://en.wikipedia.org/wiki/Mateo%20Plehan	Mateo Plehan (born 13 March 2003) is a Croatian footballer currently playing as a forward for Ponikve. Career statistics Club Notes References 2003 births Living people Footballers from Zagreb Men's association football forwards Croatian men's footballers NK Inter Zaprešić players Croatian Football League players Second Football League (Croatia) players
https://en.wikipedia.org/wiki/Vector%20bornology	In mathematics, especially functional analysis, a bornology on a vector space over a field where has a bornology ℬ, is called a vector bornology if makes the vector space operations into bounded maps. Definitions Prerequisits A on a set is a collection of subsets of that satisfy all the following conditions: covers that is, is stable under inclusions; that is, if and then is stable under finite unions; that is, if then Elements of the collection are called or simply if is understood. The pair is called a or a . A or of a bornology is a subset of such that each element of is a subset of some element of Given a collection of subsets of the smallest bornology containing is called the bornology generated by If and are bornological sets then their on is the bornology having as a base the collection of all sets of the form where and A subset of is bounded in the product bornology if and only if its image under the canonical projections onto and are both bounded. If and are bornological sets then a function is said to be a or a (with respect to these bornologies) if it maps -bounded subsets of to -bounded subsets of that is, if If in addition is a bijection and is also bounded then is called a . Vector bornology Let be a vector space over a field where has a bornology A bornology on is called a if it is stable under vector addition, scalar multiplication, and the formation of balanced hulls (i.e. if the sum of two bounded sets is bounded, etc.). If is a vector space and is a bornology on then the following are equivalent: is a vector bornology Finite sums and balanced hulls of -bounded sets are -bounded The scalar multiplication map defined by and the addition map defined by are both bounded when their domains carry their product bornologies (i.e. they map bounded subsets to bounded subsets) A vector bornology is called a if it is stable under the formation of convex hulls (i.e. the convex hull of a bounded set is bounded) then And a vector bornology is called if the only bounded vector subspace of is the 0-dimensional trivial space Usually, is either the real or complex numbers, in which case a vector bornology on will be called a if has a base consisting of convex sets. Characterizations Suppose that is a vector space over the field of real or complex numbers and is a bornology on Then the following are equivalent: is a vector bornology addition and scalar multiplication are bounded maps the balanced hull of every element of is an element of and the sum of any two elements of is again an element of Bornology on a topological vector space If is a topological vector space then the set of all bounded subsets of from a vector bornology on called the , the , or simply the of and is referred to as . In any locally convex topological vector space the set of all closed bounded disks form a base for the usual bornology of Unless indica
https://en.wikipedia.org/wiki/Susan%20J.%20Devlin	Susan J. Devlin is an American statistician who has contributed to highly-cited research on robust statistics and local regression. Education and career Devlin earned a bachelor's degree in mathematics from William Smith College in 1968, and has a master's degree in statistics from Rutgers University. After completing her bachelor's degree, she began working for Bell Labs, and completed her master's degree on a part-time basis while working there. After the 1984 breakup of the Bell system, she moved to Bellcore, and in 1987 her responsibilities at Bellcore shifted from research in statistics to its application in modeling client satisfaction with Bellcore's services. In 1997, she retired from Bellcore and became a founding principal of The Artemis Group, a New Jersey-based marketing consulting firm. After moving to Thomaston, Maine she became president of the Thomaston Historical Society. Service Devlin chaired the Committee on Women in Statistics (CoWiS) of the American Statistical Association for 1984–1985. She was chair of the Statistical Consulting Section of the American Statistical Association for 2005. Recognition Devlin became a Fellow of the American Statistical Association in 2005. References Year of birth missing (living people) Living people American statisticians Women statisticians Hobart and William Smith Colleges alumni Rutgers University alumni Fellows of the American Statistical Association
https://en.wikipedia.org/wiki/Beth%20Chance	Beth L. Chance (born 1968) is an American statistics educator. She is a professor of statistics at the California Polytechnic State University. Education and career Chance is originally from San Diego, California. She graduated from Harvey Mudd College in 1990, majoring in mathematics with a minor in psychology. She completed a Ph.D. in operations research, concentrating in statistics, at Cornell University in 1994. Her dissertation, Behavior Characterization and Estimation for General Hierarchical Multivariate Linear Regression Models, was supervised by Martin Wells. She was a faculty member at the University of the Pacific from 1994 until 1999, when she moved to the California Polytechnic State University. She was chair of the American Statistical Association Section on Statistics and Data Science Education for 2018. Books Chance is the author or coauthor of multiple statistics textbooks including: Workshop Statistics: Discovery with Data (with A. Rossman and R. Lock, 1998; 4th ed., 2011) Statistics: Preparing for the AP Exam (with J. Bohan, 2005) Statistical Questions from the Classroom (with J. M. Shaughnessy, 2005) Focus in High School Mathematics: Reasoning and Sense Making in Statistics and Probability (with J. M. Shaughnessy and H. Kranendonk, 2009) Introduction to Statistical Inference (with N. Tintle, G. Cobb, A. Rossman, S. Roy, T. Swanson, and J. VanderStoep, 2016) Intermediate Statistical Investigations (N. Tintle, K. McGaughey, S. Roy, T. Swanson, and J. VanderStoep, 2019) Recognition In 2002, Chance became the inaugural recipient of the Waller Education Award of the American Statistical Association Section on Statistics and Data Science Education. In 2003, she won the Mu Sigma Rho Statistics Education Award. She became a Fellow of the American Statistical Association in 2005. She is also an Elected Member of the International Statistical Institute. References External links Home page 1968 births Living people People from San Diego American statisticians Women statisticians Statistics educators Harvey Mudd College alumni Cornell University alumni University of the Pacific (United States) faculty California Polytechnic State University faculty Fellows of the American Statistical Association Elected Members of the International Statistical Institute
https://en.wikipedia.org/wiki/Friedrich%20Schilling	Friedrich Georg Schilling (9 April 1868, Hildesheim – 25 May 1950, Gladbeck) was a German mathematician. Biography From 1887 Schilling studied mathematics at the University of Freiburg and the University of Göttingen, where he received his doctorate in 1893. His doctoral thesis Beiträge zur geometrischen Theorie der Schwarzschen s-Funktion (Contributions to the geometric theory of the Schwarz s-function) was supervised by Felix Klein. At the University of Göttingen, Schilling was from 1891 to 1893 an assistant for the physical model and instrument collection. He habilitated in 1896 in Aachen and was, from August 1897 to April 1899, an adjunct professor (außerplanmäßiger Professor) at the Karlsruhe Institute of Technology. From 1899 he was an adjunct professor at the University of Göttingen, where he taught descriptive geometry and oversaw the collection of mathematical equipment. In 1904 he became a professor at the TH Danzig, where he was rector from 1917 to 1919. He retired in 1936. In his dissertation, he developed a new interpretation of the formulas of spherical trigonometry as a relationship between the invariants of three quadratic forms and their functional determinants. Schilling's theory was presented by Felix Klein in his lectures on hypergeometric functions. Schilling also did research on Reuleaux tetrahedra. He took notes on and edited the lectures on higher geometry by Felix Klein from 1892/93, which were initially distributed in autographed form. In 1926 Felix Klein's book Vorlesungen über nichteuklidische Geometrie (Lectures on non-Euclidean geometry) was published posthumously by Springer Verlag. Schilling himself wrote several books on non-Euclidean geometry, which were strongly influenced by his geometric intuition. Felix Klein and Friedrich Schilling also designed geometric models that were manufactured by the Martin Schilling company in Leipzig. In 1927 Friedrich Schilling was president of the Deutsche Mathematiker-Vereinigung. In November 1933, he signed the Bekenntnis der Professoren an den deutschen Universitäten und Hochschulen zu Adolf Hitler. Selected publications Über die Anwendungen der darstellenden Geometrie insbesondere über die Photogrammetrie. Mit einem Anhang: Welche Vorteile gewährt die Benützung eines Projektionsapparates im mathematischen Unterricht, Teubner 1904 F. Schilling: Bildende Kunst und Geometrie, Jahresbericht DMV 1918 Projektive und nichteuklidische Geometrie, Leipzig 1931 Die Pseudosphäre und die nichteuklidische Geometrie, 2 vols., Teubner 1931, 1935 (See pseudosphere.) Pseudosphärische, hyperbolisch-sphärische und elliptisch-sphärische Geometrie, Teubner 1937 Sources Beiträge und Dokumente zur Geschichte der Technischen Hochschule Danzig 1904–1945, Hannover 1979 brief biography in References 1868 births 1950 deaths 20th-century German mathematicians Differential geometers University of Göttingen alumni RWTH Aachen University alumni Academic staff of the Gdańsk University of Technology
https://en.wikipedia.org/wiki/Caroline%20Colijn	Caroline Colijn is a Canadian mathematician and epidemiologist. She holds a Canada 150 Research Chair in Mathematics for Evolution, Infection and Public Health at Simon Fraser University (SFU). Early life and education Colijn earned her undergraduate degree from the University of British Columbia before enrolling at York University for her Master's degree in environmental studies and the University of Waterloo for her PhD. She completed her post-doctoral training with Michael Mackey at McGill University and later studied epidemiology with Megan Murray at the Harvard T.H. Chan School of Public Health. Career Following her post-doctoral training, Colijn joined the University of Bristol's Department of Engineering Maths until 2011 when she moved to Imperial College London. While at Imperial College London, Colijn earned an Engineering and Physical Sciences Research Council Fellowship in order to study how to improve scientists ability to infer the ecological processes shaping a pathogen's evolution. In 2017, the Government of Canada announced the hiring of four Canada 150 Research Chairs, including Colijn. The program's initiative was to "enhance Canada's reputation as a global centre for science, research and innovation excellence" and Colijn's focus at Simon Fraser University (SFU) was on making "connections between mathematics and public health, using diverse data to understand how pathogens adapt and spread." In February 2020, Colijn, Jukka Corander, and Nick Croucher published a study in the journal Nature Microbiology regarding vaccines. They proposed a new method for choosing the best vaccine to fight and eliminate certain bacterial strains using genomic data and mathematical modelling. During the COVID-19 pandemic in British Columbia, Colijn was awarded a Genome British Columbia grant to map the spread of COVID-19 in British Columbia. Leading a group of researchers, Colijn used the grant to measure how successful and effective British Columbia's health policy measures in lowering the risk of COVID-19. Colijn spoke favorably of the effectiveness of random testing and used mathematical modelling to project high-risk trends in the province, allowing health officers to better determine how to effectively treat the pandemic. Colijn explained that "the role of mathematical modelling in infectious disease epidemiology is to think about the data we have at the population level, groups of people, links between the groups, rates of infection and case counts, and thinking about what that means for the dynamics of this thing going forward." She was also selected to by the Chief Science Advisor of Canada Mona Nemer to sit on a country wide science expert panel to advise on COVID-19-related scientific developments. In this role, she published a research paper titled Estimating the impact of COVID-19 control measures using a Bayesian model of physical distancing, which concluded that keeping a physical distance had a direct impact on overall cont
https://en.wikipedia.org/wiki/Adomas%20%C4%84%C5%BEuolas%20Audickas	Adomas Ąžuolas Audickas (born in 1982 in Lithuania) is a Lithuanian business consultant. Biography Adomas obtained a Bachelor degree in Mathematics from Vilnius University (Lithuania) in 2005. In 2011, he was appointed as a Member of the Supervisory Board in UAB VAE (Lithuania) and also, he served there as a Chairman of the Supervisory Board. From 2013 to 2015, he was a Partner at a Baltics leading consulting company UAB Civitta. In 2015-2016, Adomas was a Senior Advisor to the Minister of Economy of Ukraine (2015-2016). In 2017, he has become the President of Ukrainian Academy of Corporate Governance. Also, since 2017, Adomas has served as Advisor to the Prime Minister of Ukraine. In 2018, he has become a Member of the Supervisory Board of JSC Mahistralni Gazoprovody of Ukraine. Since 2019, he has become a Member of the Supervisory Board of JSC Ukrzaliznytsia. References 1982 births Living people Lithuanian consultants Lithuanian economists Lithuanian politicians Vilnius University alumni

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