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https://en.wikipedia.org/wiki/Paulo%20Marcelo | Paulo Marcelo Souza Alves (born 20 July 1995) is a Brazilian professional footballer who plays as a striker for Swedish club Utsiktens BK.
Career statistics
References
External links
1995 births
People from Guaratinguetá
Footballers from São Paulo (state)
Living people
Brazilian men's footballers
Men's association football forwards
São Bernardo Futebol Clube players
Sampaio Corrêa Futebol Clube players
IFK Värnamo players
GAIS players
Utsiktens BK players
Amora F.C. players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série D players
Superettan players
Ettan Fotboll players
Brazilian expatriate men's footballers
Brazilian expatriate sportspeople in Sweden
Expatriate men's footballers in Sweden
Brazilian expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal |
https://en.wikipedia.org/wiki/Helen%20Wilson%20%28mathematician%29 | Helen Jane Wilson, (born 1973), is a British mathematician and the first female Head of Mathematics at University College London (UCL).
Her research focuses on the theoretical and numerical modelling of the flow of non-Newtonian fluids such as polymeric materials and particle suspensions.
Early life and education
Wilson was born in Warrington. Her father, Leslie Knight Wilson was a chartered accountant; her mother, Brenda (née Naylor) a French teacher. She attended Broomfields Junior School and Bridgewater High School.
Wilson studied at Clare College, Cambridge, completing a BA, Certificate of Advanced Study in Mathematics (later converted to an MMath) and PhD in mathematics. Her PhD thesis, titled "Shear Flow Instabilities in Viscoelastic Fluids", was supervised by John Rallison. On graduation she moved to the University of Colorado at Boulder, where she began research on suspension mechanics with Rob Davis in the Chemical Engineering department.
Mathematical work
In 2000 Wilson returned to the UK to take up a lectureship in Applied Mathematics at the University of Leeds.
In 2004 she moved to UCL, where she is Professor of Applied Mathematics and as of September 2018, Head of Department. Wilson is the first female to hold the position of Head of Mathematics at UCL.
Research in fluid mechanics
Wilson's PhD thesis and early papers focused on instabilities in viscoelastic fluids. She predicted a new instability in channel flow of a shear-thinning fluid which was later discovered experimentally by another group and on which she still works. She has also worked on instabilities in shear-banding flows and in more complex geometries.
Her other major research interest, besides viscoelasticity, is suspension mechanics, and in particular the effect of particle contacts on fluid rheology. Her most recent projects draw these two fields together, investigating the interaction of solid particles with their complex material environment in fields ranging from healthcare to engineering.
Her academic publications are listed on the UCL site.
One of her best-known publications is the paper "The fluid dynamics of the chocolate fountain", co-authored with Adam Townsend. Unusually for a mathematical paper, this was covered in the Washington Post.
Knowledge transfer
Wilson gave the 2019 Joint London Mathematical Society Annual Lecture on "Toothpaste, custard and chocolate: mathematics gets messy".
Problem plastics & how mathematics can help, published in UCL Science and presented at Mathematics Works (Oct 2007).
Public lecture: From gases to gloops: Instabilities in fluids in the UCL Lunch Hour Lecture series on 23 February 2016.
Non-technical articles
Case study for the Royal Society on how a supportive employer can support a mother on her return to work.
Blog post and BBC World TV news interview commenting on the award of the Fields Medal to a female mathematician for the first time.
The D'Hondt method Explained: brief explanation of an easier way |
https://en.wikipedia.org/wiki/Naylhor | Naylhor Bispo de Souza Junior (born 24 June 1987), simply known as Naylhor, is a Brazilian footballer who plays for Paysandu as a centre-back.
Career statistics
References
External links
1987 births
Living people
Footballers from Minas Gerais
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Nova Iguaçu FC managers
Mesquita Futebol Clube managers
Associação Desportiva Recreativa e Cultural Icasa players
Paraná Clube players
Ituano FC players
Figueirense FC players
Botafogo Futebol Clube (SP) players
Vila Nova Futebol Clube players
Esporte Clube Água Santa players
Brasiliense FC players
America Football Club (Rio de Janeiro) players
Clube Atlético Linense players
Tuna Luso Brasileira players
Paysandu Sport Club players |
https://en.wikipedia.org/wiki/Fima | Fima or FIMA may refer to:
Fima (artist) (1914–2005), Israeli artist
Federation of Islamic Medical Associations
Fellow of the Institute of Mathematics and its Applications
See also
FEMA (disambiguation) |
https://en.wikipedia.org/wiki/C-STEM%20Studio | C-STEM Studio is a platform for hands-on integrated learning of computing, science, technology, engineering, and mathematics (C-STEM) with robotics. It can be used to control multiple Linkbot, Lego Mindstorms NXT and EV3, Arduino boards.
C-STEM Studio is developed by the UC Davis C-STEM Center’s. C-STEM Studio includes the software modules, programs, comprehensive documentation, teacher’s guides, and textbooks used in the C-STEM curriculum.
C-STEM Studio is specially designed for instructors to organize diverse teaching resources and for students to conduct computer homework assignments conveniently in formal computer teaching labs. C-STEM Studio is provided free of charge.
References
External links
C-STEM Center
C-STEM Studio
RoboBlockly
University of California
University of California, Davis
American educational websites |
https://en.wikipedia.org/wiki/Base%20change%20theorems | In mathematics, the base change theorems relate the direct image and the inverse image of sheaves. More precisely, they are about the base change map, given by the following natural transformation of sheaves:
where
is a Cartesian square of topological spaces and is a sheaf on X.
Such theorems exist in different branches of geometry: for (essentially arbitrary) topological spaces and proper maps f, in algebraic geometry for (quasi-)coherent sheaves and f proper or g flat, similarly in analytic geometry, but also for étale sheaves for f proper or g smooth.
Introduction
A simple base change phenomenon arises in commutative algebra when A is a commutative ring and B and A' are two A-algebras. Let . In this situation, given a B-module M, there is an isomorphism (of A' -modules):
Here the subscript indicates the forgetful functor, i.e., is M, but regarded as an A-module.
Indeed, such an isomorphism is obtained by observing
Thus, the two operations, namely forgetful functors and tensor products commute in the sense of the above isomorphism.
The base change theorems discussed below are statements of a similar kind.
Definition of the base change map
The base change theorems presented below all assert that (for different types of sheaves, and under various assumptions on the maps involved), that the following base change map
is an isomorphism, where
are continuous maps between topological spaces that form a Cartesian square and is a sheaf on X. Here denotes the higher direct image of under f, i.e., the derived functor of the direct image (also known as pushforward) functor .
This map exists without any assumptions on the maps f and g. It is constructed as follows: since is left adjoint to , there is a natural map (called unit map)
and so
The Grothendieck spectral sequence then gives the first map and the last map (they are edge maps) in:
Combining this with the above yields
Using the adjointness of and finally yields the desired map.
The above-mentioned introductory example is a special case of this, namely for the affine schemes and, consequently, , and the quasi-coherent sheaf associated to the B-module M.
It is conceptually convenient to organize the above base change maps, which only involve only a single higher direct image functor, into one which encodes all at a time. In fact, similar arguments as above yield a map in the derived category of sheaves on S':
where denotes the (total) derived functor of .
General topology
Proper base change
If X is a Hausdorff topological space, S is a locally compact Hausdorff space and f is universally closed (i.e., is a closed map for any continuous map ), then
the base change map
is an isomorphism. Indeed, we have: for ,
and so for
To encode all individual higher derived functors of into one entity, the above statement may equivalently be rephrased by saying that the base change map
is a quasi-isomorphism.
The assumptions that the involved spaces be Hausdorff have been weak |
https://en.wikipedia.org/wiki/Lee%20Dae-soo | Lee Dae-soo (born August 21, 1981) is a South Korean professional baseball infielder for the SK Wyverns of the KBO League.
References
External links
Career statistics and player information from Korea Baseball Organization
Lee Dae-soo at SK Wyverns Baseball Club
SSG Landers players
KBO League infielders
South Korean baseball players
Hanwha Eagles players
Doosan Bears players
People from Gunsan
1981 births
Living people
Sportspeople from North Jeolla Province |
https://en.wikipedia.org/wiki/Geoffrey%20McLachlan | Geoffrey John McLachlan FAA (born 3 October 1946) is an Australian researcher in computational statistics, machine learning and pattern recognition. McLachlan is best known for his work in classification and finite mixture models. He is the joint author of five influential books on the topics of mixtures and classification, as well as their applications. Currently, McLachlan is a Professor of statistics within the School of Mathematics and Physics at the University of Queensland.
Education and career
McLachlan was born in Rockhampton and obtained his BSc in mathematics at the University of Queensland in 1969. He went to pursue a PhD at the same university in 1973 under the supervision of Stephen Lipton, a former staff member at the famous Rothamsted experimental station in the UK. McLachlan obtained a Doctor of Science at the University of Queensland in 1994. He has served in many positions of academic service over his career, most notably including as an Australian Research Council College of Experts member (2008–2010). McLachlan is currently serving on the editorial boards of the journals: Advances in Data Analysis and Classification, BMC Bioinformatics, Cancer Informatics, Journal of Classification, Statistics and Computing, Statistical Modelling, Statistics Surveys, and WIREs Data Mining and Knowledge Discovery. McLachlan has also supervised numerous PhD students over his career, most notably including Professor Kaye Basford at the University of Queensland and Professor Angus Ng at Griffith University.
McLachlan is a prolific author in the fields of computational statistics, pattern recognition, machine learning, and neural networks. He has written over 300 research articles. Further, Google Scholar lists him with an h-index of 63 and attributes over 60000 citations to his publications.
The themes in McLachlan's work include the use of finite mixtures of atypical distributions for clustering of complex data. This includes the use of multivariate t-distributions, and skew variants of multivariate t- and normal distributions. His works have found applications in numerous areas of practical research including biology, bioinformatics, cardiology, engineering, psychology, neuroimaging, among numerous other fields. McLachlan's research has been published in various well-regarded journals such as Biometrics; Biometrika; Journal of the Royal Statistical Society; Journal of the American Statistical Association; Proceedings of the National Academy of Sciences of the USA; Nature Methods; the Computer Journal; and the IEEE Transactions on Pattern Analysis and Machine Intelligence, Medical Imaging, and Neural Networks. He is a featured researcher in Journeys to Data Mining: Experiences from 15 Renowned Researchers, edited by Mohamed Medhat Gaber.
Honours and awards
Australian Research Council Professorial Fellow (2007-2011)
Pitman Medal of the Statistical Society of Australia (2010)
ISI Highly Cited Author (2010)
President of the International F |
https://en.wikipedia.org/wiki/Richard%20Ehrenborg | Richard Ehrenborg is a Swedish mathematician working in algebraic combinatorics. He is known for developing the quasisymmetric function of a poset. He currently holds the Ralph E. and Norma L. Edwards Research Professorship at the University of Kentucky and is the first recipient of the Royster Research Professor at
University of Kentucky.
Ehrenborg earned his Ph.D. from MIT in 1993 under the supervision of Gian-Carlo Rota.
He is a descendant of another , (born 1655) who was a professor and Rektor of Lund University. He is also a juggler and magician.
Selected publications
See also
Four glasses puzzle
External links
References
Year of birth missing (living people)
Living people
20th-century Swedish mathematicians
University of Kentucky faculty
Massachusetts Institute of Technology alumni |
https://en.wikipedia.org/wiki/William%20Jack%20%28mathematician%29 | William Jack FRSE (29 May 1834 – 20 March 1924) was a Scottish mathematician and journalist. He was Editor of the Glasgow Herald newspaper from 1870 to 1876, and Professor of Mathematics at the University of Glasgow from 1879 until 1909.
Life
He was born on 29 May 1834 in Stewarton in Ayrshire the son of Robert Jack of Irvine. He was educated at Irvine Academy, going on to study mathematics at the University of Glasgow, graduating with an MA in 1853. He then continued his studies at the University of Cambridge, graduating with a second MA in 1859.
From 1860 to 1866 he was HM Inspector of Schools for Scotland. In 1866 he accepted the post of Professor of Natural Philosophy (Physics) at Owens College in Manchester and held this position until 1870 when he moved to Glasgow as Editor of the Glasgow Herald newspaper. He left in 1876 to run Macmillan & Co, a London publisher, and in 1879 joined the staff of Glasgow University as Professor of Mathematics. In 1875, he was elected a Fellow of the Royal Society of Edinburgh. His proposers were, William Thomson, Lord Kelvin, James Thomson Bottomley, Allen Thomson and Peter Guthrie Tait.
In 1875 the University of Glasgow awarded him an honorary LLD and in 1902 the University of Manchester awarded him an honorary doctorate (DSc).
In his final working years he lived on the campus of the University of Glasgow, at 10 The College.
He died on 20 March 1924.
Family
He was married to Agnes Jane Nichol (1837–1901), daughter of John Pringle Nichol and sister of Professor John Nichol. Their children included sons William Tullis Jack (b.1862), William Robert Jack (b.1866), Adolphus Alfred Jack (b.1868), and a daughter Agnes Elizabeth Jack (b.1871).
References
1834 births
1924 deaths
Scottish mathematicians
Scottish journalists
Fellows of the Royal Society of Edinburgh
Alumni of the University of Glasgow
Academics of the University of Glasgow
People from Stewarton
Scottish newspaper editors
People educated at Irvine Royal Academy
Alumni of the University of Cambridge
Scottish civil servants
Academics of the Victoria University of Manchester
Scottish publishers (people)
The Herald (Glasgow) editors |
https://en.wikipedia.org/wiki/Claudinho%20%28footballer%2C%20born%201991%29 | Cláudio Pereira da Silva Júnior (born 2 September 1991), known as Claudinho, is a Brazilian footballer who plays for Guarani as a forward.
Career statistics
References
External links
1991 births
Living people
Footballers from Rio de Janeiro (city)
Brazilian men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série D players
Ituano FC players |
https://en.wikipedia.org/wiki/Peri%20%28footballer%29 | Alessandro Silva de Araújo (born 28 February 1986), known by his nickname Peri, is a Brazilian footballer who plays for Santa Cruz as a left back
Career statistics
References
External links
1986 births
Living people
Footballers from Alagoas
Brazilian men's footballers
Men's association football defenders
Clube Sociedade Esportiva players
Sinop Futebol Clube players
Sport Club Santa Rita players
Associação Atlética Coruripe players
Club Sportivo Sergipe players
Sociedade Desportiva Juazeirense players
Salgueiro Atlético Clube players
Sport Club do Recife players
Ituano FC players
Clube de Regatas Brasil players
Paysandu Sport Club players
Botafogo Futebol Clube (SP) players
Esporte Clube XV de Novembro (Piracicaba) players
Esporte Clube Água Santa players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
People from Palmeira dos Índios |
https://en.wikipedia.org/wiki/Sage%20Manifolds | SageManifolds (following styling of SageMath) is an extension fully integrated into SageMath, to be used as a package for differential geometry and tensor calculus. The official page for the project is sagemanifolds.obspm.fr. It can be used on CoCalc.
SageManifolds deals with differentiable manifolds of arbitrary dimension. The basic objects are tensor fields and not tensor components in a given vector frame or coordinate chart. In other words, various charts and frames can be introduced on the manifold and a given tensor field can have representations in each of them.
An important class of treated manifolds is that of pseudo-Riemannian manifolds, among which Riemannian manifolds and Lorentzian manifolds, with applications to General Relativity. In particular, SageManifolds implements the computation of the Riemann curvature tensor and associated objects (Ricci tensor, Weyl tensor). SageManifolds can also deal with generic affine connections, not necessarily Levi-Civita ones.
Functionalities
More documentation is on doc.sagemath.org/html/en/reference/manifolds/.
Free & Open Software
As SageMath is, SageManifolds is a free and open source software based on the Python programming language. It is released under the GNU General Public License. To download and install SageManifolds, see here. It is more specifically GPL v2+ (meaning that a user may elect to use a licence higher than GPL version 2.)
Development
Much of the source is on tickets at trac.sagemath.org.
There are GitHub repositories at github.com/sagemanifolds/SageManifolds.
Other links are provided at sagemanifolds.obspm.fr/contact.html.
Free mathematics software
Python (programming language) scientific libraries
Free software programmed in Python
Free educational software
Mathematical software |
https://en.wikipedia.org/wiki/David%20Nalbandian%20career%20statistics | This is a list of the main career statistics of Argentine professional tennis player David Nalbandian.
Significant finals
Grand Slam finals
Singles: 1 (1 runner-up)
Year-end championships finals
Singles: 1 (1 title)
Masters 1000 finals
Singles: 6 (2 titles, 4 runners-up)
ATP career finals
Singles: 24 (11 titles, 13 runners-up)
Doubles: 1 (1 runner-up)
Other finals
Team competition: 3 (3 runners-up)
Junior Grand Slam finals
Singles: 2 (1 title, 1 runner-up)
Doubles: 1 (1 title)
Exhibition tournaments: 8 (8 titles)
Performance timelines
Davis Cup matches are included in the statistics. Walkovers or qualifying matches are neither official wins nor losses.
Singles
Doubles
Notes:
1Nalbandian played for Argentina at the 2013 Davis Cup, but only signed up to play in doubles rubbers.
Record against top 10 players
Nalbandian's match record against those who have been ranked in the Top 10:
Players who have been ranked world no. 1 are in boldface.
Roger Federer 8–11
Richard Gasquet 7–0
Nikolay Davydenko 7–5
Robin Söderling 6–1
Tommy Robredo 6–3
Rainer Schüttler 6–4
Tim Henman 5–1
Fernando González 5–3
David Ferrer 5–9
Mario Ančić 4–0
Arnaud Clément 4–0
Tomáš Berdych 4–1
Nicolás Almagro 4–2
Marin Čilić 4–2
Juan Carlos Ferrero 4–3
Carlos Moyá 4–3
Ivan Ljubičić 4–5
Nicolás Massú 3–1
Juan Mónaco 3–1
Juan Martín del Potro 3–1
Félix Mantilla 3–2
Lleyton Hewitt 3–3
Marat Safin 3–6
Stanislas Wawrinka 3–6
Jonas Björkman 2–0
Albert Costa 2–0
Karol Kučera 2–0
Sébastien Grosjean 2–1
John Isner 2–1
Mark Philippoussis 2–1
Gilles Simon 2–1
Paradorn Srichaphan 2–1
Radek Štěpánek 2–1
Guillermo Cañas 2–2
Guillermo Coria 2–2
Thomas Johansson 2–2
Mikhail Youzhny 2–2
Marcos Baghdatis 2–3
Janko Tipsarević 2–3
Andy Roddick 2–4
Andy Murray 2–5
Rafael Nadal 2–5
Gustavo Kuerten 1–0
Todd Martin 1–0
Marc Rosset 1–0
Wayne Ferreira 1–1
Nicolas Kiefer 1–1
Jürgen Melzer 1–1
Jiří Novák 1–1
Jo-Wilfried Tsonga 1–1
Gaël Monfils 1–3
Novak Djokovic 1–4
Andre Agassi 0–1
Gastón Gaudio 0–1
James Blake 0–2
Mardy Fish 0–2
Yevgeny Kafelnikov 0–2
Fernando Verdasco 0–3
Tommy Haas 0–5
*As of April 1, 2013.
Wins over top 10 players per season
Notes
References
Tennis career statistics |
https://en.wikipedia.org/wiki/Han%20Sang-hun | Han Sang-hun (born June 3, 1980) is a South Korean former professional baseball infielder who played for the Hanwha Eagles of KBO League.
References
External links
Career statistics and player information from Korea Baseball Organization
KBO League infielders
South Korean baseball players
Hanwha Eagles players
Kyung Hee University alumni
Baseball players from Seoul
1980 births
Living people |
https://en.wikipedia.org/wiki/Working%E2%80%93Hotelling%20procedure | In statistics, particularly regression analysis, the Working–Hotelling procedure, named after Holbrook Working and Harold Hotelling, is a method of simultaneous estimation in linear regression models. One of the first developments in simultaneous inference, it was devised by Working and Hotelling for the simple linear regression model in 1929. It provides a confidence region for multiple mean responses, that is, it gives the upper and lower bounds of more than one value of a dependent variable at several levels of the independent variables at a certain confidence level. The resulting confidence bands are known as the Working–Hotelling–Scheffé confidence bands.
Like the closely related Scheffé's method in the analysis of variance, which considers all possible contrasts, the Working–Hotelling procedure considers all possible values of the independent variables; that is, in a particular regression model, the probability that all the Working–Hotelling confidence intervals cover the true value of the mean response is the confidence coefficient. As such, when only a small subset of the possible values of the independent variable is considered, it is more conservative and yields wider intervals than competitors like the Bonferroni correction at the same level of confidence. It outperforms the Bonferroni correction as more values are considered.
Statement
Simple linear regression
Consider a simple linear regression model , where is the response variable and the explanatory variable, and let and be the least-squares estimates of and respectively. Then the least-squares estimate of the mean response at the level is . It can then be shown, assuming that the errors independently and identically follow the normal distribution, that an confidence interval of the mean response at a certain level of is as follows:
where is the mean squared error and denotes the upper percentile of Student's t-distribution with degrees of freedom.
However, as multiple mean responses are estimated, the confidence level declines rapidly. To fix the confidence coefficient at , the Working–Hotelling approach employs an F-statistic:
where and denotes the upper percentile of the F-distribution with degrees of freedom. The confidence level of is over all values of , i.e. .
Multiple linear regression
The Working–Hotelling confidence bands can be easily generalised to multiple linear regression. Consider a general linear model as defined in the linear regressions article, that is,
where
Again, it can be shown that the least-squares estimate of the mean response is , where consists of least-square estimates of the entries in , i.e. . Likewise, it can be shown that a confidence interval for a single mean response estimate is as follows:
where is the observed value of the mean squared error .
The Working–Hotelling approach to multiple estimations is similar to that of simple linear regression, with only a change in the degrees of freedom:
|
https://en.wikipedia.org/wiki/Ga%C3%ABl%20Monfils%20career%20statistics | This is a list of the main career statistics of French professional tennis player Gaël Monfils. All statistics are according to the ATP Tour and ITF website.
Performance timelines
Singles
Current through the 2023 Laver Cup.
Doubles
Significant finals
Masters tournament finals
Singles: 3 (3 runner-ups)
ATP Tour career finals
Monfils reached a final for 19 consecutive seasons, and is one of four players in the Open Era to do so for 19 or more seasons.
Singles: 34 (12 titles, 22 runner-ups)
ITF Futures and ATP Challenger Tour finals
Singles: 8 (7 titles, 1 runner-up)
Doubles: 2 (2 runner-ups)
Other finals
Team competitions finals: 2 (2 runner-ups)
ITF Junior Circuit
Singles: 9 (5 titles, 4 runner-ups)
Doubles: 1 (1 title)
Record against top 10 players
Monfils's match record against those who have been ranked in the Top 10, with those who have been No. 1 in boldface, and retired players in italics.
Singles
Richard Gasquet 11–7
John Isner 7–6
Radek Štěpánek 6–3
Andy Roddick 5–3
Kevin Anderson 6–1
Marin Čilić 4–0
Marat Safin 4–0
Roberto Bautista Agut 4–1
Marcos Baghdatis 4–1
Grigor Dimitrov 4–1
Jürgen Melzer 4–1
Janko Tipsarević 4–2
Jo Wilfried Tsonga 4–4
Roger Federer 4–10
Ernests Gulbis 3–0
David Nalbandian 3–1
Alexander Zverev 3–1
James Blake 3–2
Pablo Carreño Busta 3–3
Fernando Verdasco 3–3
Nicolás Almagro 3–3
David Ferrer 3–3
Milos Raonic 3–3
Stan Wawrinka 3–3
Ivan Ljubičić 3–4
Gilles Simon 3–7
Arnaud Clément 2–0
Fernando González 2–0
Gastón Gaudio 2–0
Lucas Pouille 2–0
Daniil Medvedev 2–1
Sébastien Grosjean 2–1
Nikolay Davydenko 2–2
Tommy Haas 2–2
Lleyton Hewitt 2–2
David Goffin 2–3
Tommy Robredo 2–3
Diego Schwartzman 2–3
Andy Murray 2–4
Juan Mónaco 2–5
Rafael Nadal 2–14
Thomas Enqvist 1–0
Thomas Johansson 1–0
Karen Khachanov 1–0
Casper Ruud 1–0
Jack Sock 1–0
Félix Auger-Aliassime 1–1
Jonas Björkman 1–1
Hubert Hurkacz 1–1
Andrey Rublev 1–1
Denis Shapovalov 1–1
Stefanos Tsitsipas 1–2
Mikhail Youzhny 1–3
Jannik Sinner 1–4
Kei Nishikori 1–4
Tomáš Berdych 1–6
Guillermo Cañas 0–1
Mardy Fish 0–1
Rainer Schüttler 0–1
Mario Ančić 0–2
Juan Martín del Potro 0–2
Matteo Berrettini 0–3
Juan Carlos Ferrero 0–3
Robin Söderling 0–3
Dominic Thiem 0–6
Novak Djokovic 0–17
*Statistics correct as of 13 August 2023.
Top 10 wins
Monfils has a record against players who were, at the time the match was played, ranked in the top 10.
Doubles
Career Grand Slam tournament seedings
The tournaments won by Monfils are bolded.
Singles
ATP career earnings
* Statistics correct .
National participation
Davis Cup matches
indicates the result of the Davis Cup match followed by the score, date, place of event, the zonal classification and its phase, and the court surface.
Summer Olympics matches
Singles
Doubles
Notable exhibitions
Team competitions
References
External links
Monfils, Gael |
https://en.wikipedia.org/wiki/Numerical%20algebraic%20geometry | Numerical algebraic geometry is a field of computational mathematics, particularly computational algebraic geometry, which uses methods from numerical analysis to study and manipulate the solutions of systems of polynomial equations.
Homotopy continuation
The primary computational method used in numerical algebraic geometry is homotopy continuation, in which a homotopy is formed between two polynomial systems, and the isolated solutions (points) of one are continued to the other. This is a specialization of the more general method of numerical continuation.
Let represent the variables of the system. By abuse of notation, and to facilitate the spectrum of ambient spaces over which one can solve system, we do not use vector notation for . Similarly for the polynomial systems and .
Current canonical notation calls the start system , and the target system, i.e., the system to solve, . A very common homotopy, the straight-line homotopy, between and is
In the above homotopy, one starts the path variable at and continues toward . Another common choice is to run from to . In principle, the choice is completely arbitrary. In practice, regarding endgame methods for computing singular solutions using homotopy continuation, the target time being can significantly ease analysis, so this perspective is here taken.
Regardless of the choice of start and target times, the ought to be formulated such that , and .
One has a choice in , including
Roots of unity
Total degree
Polyhedral
Multi-homogeneous
and beyond these, specific start systems that closely mirror the structure of may be formed for particular systems. The choice of start system impacts the computational time it takes to solve , in that those that are easy to formulate (such as total degree) tend to have higher numbers of paths to track, and those that take significant effort (such as the polyhedral method) are much sharper. There is currently no good way to predict which will lead to the quickest time to solve.
Actual continuation is typically done using predictor–corrector methods, with additional features as implemented. Predicting is done using a standard ODE predictor method, such as Runge–Kutta, and correction often uses Newton–Raphson iteration.
Because and are polynomial, homotopy continuation in this context is theoretically guaranteed to compute all solutions of , due to Bertini's theorem. However, this guarantee is not always achieved in practice, because of issues arising from limitations of the modern computer, most namely finite precision. That is, despite the strength of the probability-1 argument underlying this theory, without using a priori certified tracking methods, some paths may fail to track perfectly for various reasons.
Witness set
A witness set
is a data structure used to describe algebraic varieties. The witness set for an affine variety that is equidimensional consists of three pieces of information. The first piece of information is a |
https://en.wikipedia.org/wiki/Mathematicism | Mathematicism is 'the effort to employ the formal structure and rigorous method of mathematics as a model for the conduct of philosophy'. or else it is the epistemological view that reality is fundamentally mathematical. The term has been applied to a number of philosophers, including Pythagoras and René Descartes although the term is not used by themselves.
The role of mathematics in Western philosophy has grown and expanded from Pythagoras onwards. It is clear that numbers held a particular importance for the Pythagorean school, although it was the later work of Plato that attracts the label of mathematicism from modern philosophers. Furthermore it is René Descartes who provides the first mathematical epistemology which he describes as a mathesis universalis, and which is also referred to as mathematicism.
Pythagoras
Although we don't have writings of Pythagoras himself, good evidence that he pioneered the concept of mathematicism is given by Plato, and summed up in the quotation often attributed to him that "everything is mathematics". Aristotle says of the Pythagorean school:
Further evidence for the views of Pythagoras and his school, although fragmentary and sometimes contradictory, comes from Alexander Polyhistor. Alexander tells us that central doctrines of the Pythagorieans were the harmony of numbers and the ideal that the mathematical world has primacy over, or can account for the existence of, the physical world.
According to Aristotle, the Pythagoreans used mathematics for solely mystical reasons, devoid of practical application. They believed that all things were made of numbers. The number one (the monad) represented the origin of all things and other numbers similarly had symbolic representations. Nevertheless modern scholars debate whether this numerology was taught by Pythagoras himself or whether it was original to the later philosopher of the Pythagorean school, Philolaus of Croton.
Walter Burkert argues in his study Lore and Science in Ancient Pythagoreanism, that the only mathematics the Pythagoreans ever actually engaged in was simple, proofless arithmetic, but that these arithmetic discoveries did contribute significantly to the beginnings of mathematics.
Plato
The Pythagorian school influenced the work of Plato. Mathematical Platonism is the metaphysical view that (a) there are abstract mathematical objects whose existence is independent of us, and (b) there are true mathematical sentences that provide true descriptions of such objects. The independence of the mathematical objects is such that they are non physical and do not exist in space or time. Neither does their existence rely on thought or language. For this reason, mathematical proofs are discovered, not invented. The proof existed before its discovery, and merely became known to the one who discovered it.
In summary, therefore, Mathematical Platonism can be reduced to three propositions:
Existence. There are mathematical objects.
Abstractness. |
https://en.wikipedia.org/wiki/Beneish%20M-score | The Beneish model is a statistical model that uses financial ratios calculated with accounting data of a specific company in order to check if it is likely (high probability) that the reported earnings of the company have been manipulated.
How to calculate
The Beneish M-score is calculated using 8 variables (financial ratios):
Days Sales in Receivables Index
(DSRI)
DSRI = (Net Receivablest / Salest) / (Net Receivablest-1 / Salest-1)
Gross Margin Index (GMI)
GMI = [(Salest-1 - COGSt-1) / Salest-1] / [(Salest - COGSt) / Salest]
Asset Quality Index (AQI)
AQI = [1 - (Current Assetst + PP&Et + Securitiest) / Total Assetst] / [1 - ((Current Assetst-1 + PP&Et-1 + Securitiest-1) / Total Assetst-1)]
Sales Growth Index (SGI)
SGI = Salest / Salest-1
Depreciation Index (DEPI)
DEPI = (Depreciationt-1/ (PP&Et-1 + Depreciationt-1)) / (Depreciationt / (PP&Et + Depreciationt))
Sales General and Administrative Expenses Index (SGAI)
SGAI = (SG&A Expenset / Salest) / (SG&A Expenset-1 / Salest-1)
Leverage Index (LVGI)
LVGI = [(Current Liabilitiest + Total Long Term Debtt) / Total Assetst] / [(Current Liabilitiest-1 + Total Long Term Debtt-1) / Total Assetst-1]
Total Accruals to Total Assets (TATA)
TATA = (Income from Continuing Operationst - Cash Flows from Operationst) / Total Assetst
The formula to calculate the M-score is:
M-score = −4.84 + 0.92 × DSRI + 0.528 × GMI + 0.404 × AQI + 0.892 × SGI + 0.115 × DEPI −0.172 × SGAI + 4.679 × TATA − 0.327 × LVGI
How to interpret
The threshold value is -1.78 for the model whose coefficients are reported above. (see Beneish 1999, Beneish, Lee, and Nichols 2013, and Beneish and Vorst 2020).
If M-score is less than -1.78, the company is unlikely to be a manipulator. For example, an M-score value of -2.50 suggests a low likelihood of manipulation.
If M-score is greater than −1.78, the company is likely to be a manipulator. For example, an M-score value of -1.50 suggests a high likelihood of manipulation.
Aggregate recession predictor
A 2023 research paper will use an aggregate score of many companies to predict recessions. It finds that the score in early 2023 is the highest in some 40 years.
Important notices
Beneish M-score is a probabilistic model, so it cannot detect companies that manipulate their earnings with 100% accuracy.
Financial institutions were excluded from the sample in Beneish paper when calculating M-score since these institutions make money through different routes. Sales and receivables which are two main ingredients that go into the Beneish formula are not used when analyzing a financial institution.
Example of successful application
Enron Corporation was correctly identified 1998 as an earnings manipulator by students from Cornell University using M-score. Noticeably, Wall Street financial analysts were still recommending to buy Enron shares at that point in time.
Further reading on financial statement manipulation
A sequence of articles on Alpha Architect blog.
|
https://en.wikipedia.org/wiki/Instituto%20Nacional%20de%20Estat%C3%ADstica%20%28S%C3%A3o%20Tom%C3%A9%20and%20Pr%C3%ADncipe%29 | The Instituto Nacional de Estatística (Portuguese for the National Statistics Institute, abbreviated as INE) is the public statistics institute of São Tomé and Príncipe. It is the central executive body of the National Statistical System (Sistema Estatístico Nacional, SEN), which is responsible for the production and dissemination of official statistics. Its current director is Elsa Maria Cardoso. Population censuses have been held roughly every decade: in 1981, 1991, 2001, and 2012.
References
External links
Official website
Government of São Tomé and Príncipe
Sao Tome Principe |
https://en.wikipedia.org/wiki/Fagner%20%28footballer%2C%20born%201988%29 | Fagner Leite de Siqueira (born 10 September 1988), commonly known as Fagner, is a Brazilian footballer who plays as a midfielder.
Career statistics
References
External links
1988 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série B players
Vila Nova Futebol Clube players
Clube Atlético Linense players
Marília Atlético Clube players
People from Garanhuns
Campeonato Brasileiro Série D players
Footballers from Pernambuco |
https://en.wikipedia.org/wiki/Fangcheng%20%28mathematics%29 | Fangcheng (sometimes written as fang-cheng or fang cheng) () is the title of the eighth chapter of the Chinese mathematical classic Jiuzhang suanshu (The Nine Chapters on the Mathematical Art) composed by several generations of scholars who flourished during the period from the 10th to the 2nd century BC. This text is one of the earliest surviving mathematical texts from China. Several historians of Chinese mathematics have observed that the term fangcheng is not easy to translate exactly. However, as a first approximation it has been translated as "rectangular arrays" or "square arrays". The term is also used to refer to a particular procedure for solving a certain class of problems discussed in Chapter 8 of The Nine Chapters book.
The procedure referred to by the term fangcheng and explained in the eighth chapter of The Nine Chapters, is essentially a procedure to find the solution of systems of n equations in n unknowns and is equivalent to certain similar procedures in modern linear algebra. The earliest recorded fangcheng procedure is similar to what we now call Gaussian elimination.
The fangcheng procedure was popular in ancient China and was transmitted to Japan. It is possible that this procedure was transmitted to Europe also and served as precursors of the modern theory of matrices, Gaussian elimination, and determinants. It is well known that there was not much work on linear algebra in Greece or Europe prior to Gottfried Leibniz's studies of elimination and determinants, beginning in 1678. Moreover, Leibniz was a Sinophile and was interested in the translations of such Chinese texts as were available to him.
On the meaning of fangcheng
There is no ambiguity in the meaning of the first character fang. It means "rectangle" or "square." But different interpretations are given to the second character cheng:
The earliest extant commentary, by Liu Hui, dated 263 CE defines cheng as "measures," citing the non-mathematical term kecheng, which means "collecting taxes according to tax rates." Liu then defines fangcheng as a "rectangle of measures." The term kecheng, however, is not a mathematical term and it appears nowhere else in the Nine Chapters. Outside of mathematics, kecheng is a term most commonly used for collecting taxes.
Li Ji's "Nine Chapters on the Mathematical Arts: Pronunciations and Meanings" also glosses cheng as "measure," again using a nonmathematical term, kelü, commonly used for taxation. This is how Li Ji defines fangcheng: "Fang means [on the] left and right. Cheng means terms of a ratio. Terms of a ratio [on the] left and right, combining together numerous objects, therefore [it] is called a "rectangular array"."
Yang Hui's "Nine Chapters on the Mathematical Arts with Detailed Explanations" defines cheng as a general term for measuring weight, height, and length. Detailed Explanations states: What is called "rectangular" (fang) is the shape of the numbers; "measure" (cheng) is the general term for [all forms of |
https://en.wikipedia.org/wiki/Bara%27%20Marei | Bara' Sami Mousa Marie () is a Jordanian footballer who plays for Al-Faisaly and for the national football team of Jordan, and was born in Saudi Arabia.
International career statistics
International goals
With U-23
References
External links
Jordanian men's footballers
Jordan men's international footballers
Jordan men's youth international footballers
Jordanian expatriate men's footballers
Jordanian Pro League players
Footballers from Amman
Al-Faisaly SC players
Shabab Al-Ordon SC players
Al-Tai FC players
Abha Club players
Saudi First Division League players
Expatriate men's footballers in Saudi Arabia
Jordanian expatriate sportspeople in Saudi Arabia
Footballers at the 2014 Asian Games
1994 births
Living people
Men's association football defenders
2019 AFC Asian Cup players
Asian Games competitors for Jordan
People from Tulkarm |
https://en.wikipedia.org/wiki/Douglas%20Ulmer | Douglas Ulmer is an American mathematician who works in algebraic geometry and number theory. He is a professor and mathematics department head at the University of Arizona.
Education
Ulmer did his undergraduate study at Princeton University. In 1987, he received his PhD at Brown University, where his advisor was Benedict Hyman Gross; his thesis was titled The Arithmetic of Universal Elliptic Modular Curves.
Academic career
Ulmer was a C. L. E. Moore instructor at the Massachusetts Institute of Technology in 1987. In 1997 he was among the founders of the Southwest Center for Arithmetic Geometry at the University of Arizona. In 2009, he moved to the Georgia Institute of Technology, where he became Chair of the School of Mathematics. He returned to the University of Arizona in 2017.
Since 2014, he has served on the editorial board of the Journal de Théorie des Nombres de Bordeaux.
References
1960 births
Living people
20th-century American mathematicians
Princeton University alumni
Brown University alumni
Georgia Tech faculty
University of Arizona faculty
Massachusetts Institute of Technology School of Science faculty
21st-century American mathematicians |
https://en.wikipedia.org/wiki/Gustavo%20Kuerten%20career%20statistics | This is a list of the main career statistics of former Brazilian professional tennis player, Gustavo Kuerten. All statistics are according to the ATP World Tour and ITF website. Throughout his career, Kuerten won a total of 28 ATP titles — 20 in singles, including 3 Grand Slam titles, 5 ATP Masters Series tournaments and a Tennis Masters Cup, as well as 8 in doubles.
Significant finals
Grand Slam tournaments
Singles: 3 (3 titles)
Year-end championships
Singles: 1 (1 title)
Masters Series tournaments
Singles: 10 (5 titles, 5 runners-up)
Doubles: 1 (1 runner-up)
Career finals
ATP career finals
Singles: 29 (20 titles, 9 runners-up)
Doubles: 10 (8 titles, 2 runners-up)
Performance timelines
Davis Cup matches are included in the statistics. Walkovers or qualifying matches are neither official wins nor losses.
Current as far as 2008 French Open.
Singles
Notes:
Kuerten received a walkover in the third round at the 2000 Rome Masters.
1Held as Stuttgart Masters until 2001, Madrid Masters from 2002 to 2008.
Doubles
Notes:
1Kuerten and Nicolás Lapentti withdrew before the quarterfinals of the 1999 Australian Open.
Record against top 10 players
Kuerten's record against players who held a top 10 ranking, with those who reached No. 1 in bold.
Singles
Guillermo Cañas 7–0
Àlex Corretja 7–2
Magnus Norman 7–3
Yevgeny Kafelnikov 7–5
Albert Costa 6–2
Goran Ivanišević 6–2
Tommy Haas 5–1
Wayne Ferreira 5–2
Ivan Ljubičić 5–2
Guillermo Coria 4–1
Nicolás Lapentti 4–2
Félix Mantilla 4–3
Carlos Moyá 4–3
Marat Safin 4–3
Patrick Rafter 4–4
Andre Agassi 4–7
Sergi Bruguera 3–0
Thomas Muster 3–0
Jiří Novák 3–0
Michael Chang 3–2
Karol Kučera 3–2
Mariano Puerta 3–2
Rainer Schüttler 3–2
Gastón Gaudio 3–3
Tim Henman 3–5
Arnaud Clément 2–0
Nikolay Davydenko 2–0
Mardy Fish 2–0
Marc Rosset 2–0
Alberto Berasategui 2–1
Roger Federer 2–1
Fernando González 2–1
Nicolas Kiefer 2–1
Andriy Medvedev 2–1
Nicolás Massú 2–2
Mark Philippoussis 2–2
Marcelo Ríos 2–2
Juan Carlos Ferrero 2–3
Dominik Hrbatý 2–3
Sébastien Grosjean 2–4
Nicolás Almagro 1–0
James Blake 1–0
Andrei Chesnokov 1–0
Richard Gasquet 1–0
Richard Krajicek 1–0
David Ferrer 1–1
Thomas Johansson 1–1
Andy Roddick 1–1
Jonas Björkman 1–2
Todd Martin 1–2
Pete Sampras 1–2
Lleyton Hewitt 1–3
Tommy Robredo 1–4
Greg Rusedski 1–4
Mario Ančić 0–1
Jim Courier 0–1
Magnus Gustafsson 0–1
Petr Korda 0–1
Juan Mónaco 0–1
David Nalbandian 0–1
Juan Martín del Potro 0–1
Thomas Enqvist 0–2
Paradorn Srichaphan 0–2
Radek Štěpánek 0–2
Cédric Pioline 0–3
*As of June 9, 2008.
Wins per season
In singles, Kuerten has a 38–36 record against players who were, at the time the match was played, ranked in the top 10.
Doubles
Wins per season
Longest winning streaks
Singles
26-match win streak on clay (2000–2001)
During this streak, Kuerten won every category of tournament played on clay at the time: Grand Slam, Masters Series, ATP International Series Gold, ATP In |
https://en.wikipedia.org/wiki/Hurewicz%20space | In mathematics, a Hurewicz space is a topological space that satisfies a certain basic selection principle that generalizes σ-compactness. A Hurewicz space is a space in which for every sequence of open covers of the space there are finite sets such that every point of the space belongs to all but finitely many sets .
History
In 1926, Witold Hurewicz introduced the above property of topological spaces that is formally stronger than the Menger property. He didn't know whether Menger's conjecture is true, and whether his property is strictly stronger than the Menger property, but he conjectured that in the class of metric spaces his property is equivalent to -compactness.
Hurewicz's conjecture
Hurewicz conjectured that in ZFC every Hurewicz metric space is σ-compact. Just, Miller, Scheepers, and Szeptycki proved that Hurewicz's conjecture is false, by showing that there is, in ZFC, a set of real numbers that is Menger but not σ-compact. Their proof was dichotomic, and the set witnessing the failure of the conjecture heavily depends on whether a certain (undecidable) axiom holds or not.
Bartoszyński and Shelah (see also Tsaban's solution based on their work ) gave a uniform ZFC example of a Hurewicz subset of the real line that is not σ-compact.
Hurewicz's problem
Hurewicz asked whether in ZFC his property is strictly stronger than the Menger property. In 2002, Chaber and Pol in unpublished note, using dichotomy proof, showed that there is a Hurewicz subset of the real line that is not Menger. In 2008, Tsaban and Zdomskyy gave a uniform example of a Hurewicz subset of the real line that is Menger but not Hurewicz.
Characterizations
Combinatorial characterization
For subsets of the real line, the Hurewicz property can be characterized using continuous functions into the Baire space . For functions , write if for all but finitely many natural numbers . A subset of is bounded if there is a function such that for all functions . A subset of is unbounded if it is not bounded. Hurewicz proved that a subset of the real line is Hurewicz iff every continuous image of that space into the Baire space is unbounded. In particular, every subset of the real line of cardinality less than the bounding number is Hurewicz.
Topological game characterization
Let be a topological space. The Hurewicz game played on is a game with two players Alice and Bob.
1st round: Alice chooses an open cover of . Bob chooses a finite set .
2nd round: Alice chooses an open cover of . Bob chooses a finite set .
etc.
If every point of the space belongs to all but finitely many sets , then Bob wins the Hurewicz game. Otherwise, Alice wins.
A player has a winning strategy if he knows how to play in order to win the game (formally, a winning strategy is a function).
A topological space is Hurewicz iff Alice has no winning strategy in the Hurewicz game played on this space.
-neighborhood characterization
A Tychonoff space is Hurewicz iff for every compact |
https://en.wikipedia.org/wiki/Rothberger%20space | In mathematics, a Rothberger space is a topological space that satisfies a certain a basic selection principle. A Rothberger space is a space in which for every sequence of open covers of the space there are sets such that the family covers the space.
History
In 1938, Fritz Rothberger introduced his property known as .
Characterizations
Combinatorial characterization
For subsets of the real line, the Rothberger property can be characterized using continuous functions into the Baire space . A subset of is guessable if there is a function such that the sets are infinite for all functions . A subset of the real line is Rothberger iff every continuous image of that space into the Baire space is guessable. In particular, every subset of the real line of cardinality less than is Rothberger.
Topological game characterization
Let be a topological space. The Rothberger game played on is a game with two players Alice and Bob.
1st round: Alice chooses an open cover of . Bob chooses a set .
2nd round: Alice chooses an open cover of . Bob chooses a set .
etc.
If the family is a cover of the space , then Bob wins the game . Otherwise, Alice wins.
A player has a winning strategy if he knows how to play in order to win the game (formally, a winning strategy is a function).
A topological space is Rothberger iff Alice has no winning strategy in the game played on this space.
Let be a metric space. Bob has a winning strategy in the game played on the space iff the space is countable.
Properties
Every countable topological space is Rothberger
Every Luzin set is Rothberger
Every Rothberger subset of the real line has strong measure zero.
In the Laver model for the consistency of the Borel conjecture every Rothberger subset of the real line is countable
References
Properties of topological spaces
Topology |
https://en.wikipedia.org/wiki/D-space | In mathematics, a topological space is a D-space if for any family of open sets such that for all points , there is a closed discrete subset of the space such that .
History
The notion of D-spaces was introduced by Eric Karel van Douwen and E.A. Michael. It first appeared in a 1979 paper by van Douwen and Washek Frantisek Pfeffer in the Pacific Journal of Mathematics. Whether every Lindelöf and regular topological space is a D-space is known as the D-space problem. This problem is among twenty of the most important problems of set theoretic topology.
Properties
Every Menger space is a D-space.
A subspace of a topological linearly ordered space is a D-space iff it is a paracompact space.
References
Properties of topological spaces
Topology |
https://en.wikipedia.org/wiki/Infection%20rate | An infection rate (or incident rate) is the probability or risk of an infection in a population. It is used to measure the frequency of occurrence of new instances of infection within a population during a specific time period.
The number of infections equals the cases identified in the study or observed. An example would be HIV infection during a specific time period in the defined population. The population at risk are the cases appearing in the population during the same time period. An example would be all the people in a city during a specific time period. The constant, or K is assigned a value of 100 to represent a percentage. An example would be to find the percentage of people in a city who are infected with HIV: 6,000 cases in March divided by the population of a city (one million) multiplied by the constant (K) would give an infection rate of 0.6%.
Calculating the infection rate is used to analyze trends for the purpose of infection and disease control. An online infection rate calculator has been developed by the Centers for Disease Control and Prevention that allows the determination of the Streptococcal A infection rate in a population.
Clinical applications
Health care facilities routinely track their infection rates according to the guidelines issued by the Joint Commission. The healthcare-associated infection (HAI) rates measure infection of patients in a particular hospital. This allows rates to compared with other hospitals. These infections can often be prevented when healthcare facilities follow guidelines for safe care. To get payment from Medicare, hospitals are required to report data about some infections to the Centers for Disease Control and Prevention's (CDC's) National Healthcare Safety Network (NHSN). Hospitals currently submit information on central line-associated bloodstream infections (CLABSIs), catheter-associated urinary tract infections (CAUTIs), surgical site infections (SSIs), MRSA Bacteremia, and C. difficile laboratory-identified events. The public reporting of these data is an effort by the Department of Health and Human Services.
For meaningful comparisons of infection rates, populations must be very similar between the two or more assessments. However, a problem with mean rates is that they cannot reflect differences in risk between populations,
References
External links
The Society for Healthcare Epidemiology of America epidemiologists or physicians in infection control.
Association for Professionals in Infection Control and Epidemiology infection prevention and control professionals.
The Certification Board of Infection Control and Epidemiology, Inc.
Epidemiology
Medical hygiene
Infectious diseases |
https://en.wikipedia.org/wiki/Cheongsimhwan | Cheongsimhwan (, ), also called uhwang-cheongsimhwan () and cheongsimwon (), is a pill formulated with thirty odd herbs and other medicinal ingredients, including calculus bovis, ginseng, musk, and Chinese yam root. It is used to treat various symptoms such as numb limbs and fit of apoplexy, epilepsy, and others in traditional Korean medicine.
References
Traditional Korean medicine
Drugs |
https://en.wikipedia.org/wiki/Askar%20Dzhumadildayev | Askar Dzhumadildayev (, Asqar Serqūlūly Jūmadıldaev; born 25 February 1956) is a Kazakh mathematician, doctor of physics and mathematics, professor, Full Member of the Kazakhstan National Academy of Science. He was also member Supreme Council of Kazakh SSR and Republic of Kazakhstan.
Biography
Early life
Askar Serkululy Dzhumadilyavev was born on 25 1956 in Shieli, Kyzylorda Region, Kazakhstan. He was the member of the 51st IMO Jury.
Scientific degrees
1977 – M.A. in mathematics (Moscow State University)
1981 – Ph.D. in mathematics (Steklov Institute of Mathematics)
1988 – second Ph.D. in mathematics (Steklov Institute of Mathematics)
1990 – Professor of Kazakh State University
1995 – Corresponding Member of the National Kazakh Academy of Sciences
2004 – Full Member of the National Kazakh Academy of Sciences
Professional experience
1980-90 Junior, senior, leading Researcher of the Institute of Mathematics, Kazakh SSR Academy of Sciences.
1990– Head of algebra laboratory
He has online course "Matrices and Determinants"() at openU.kz.
Visiting positions
1988 – Hamburg University (2 month)
1995-1996 – Munich University (18 month)
1997, 1998, 1999 – Bielefeld University (4 month)
1997 – Newton Institute, Cambridge, UK (lent term, 4 month)
1998, 2001, 2002, 2003 – International Centre for Theoretical Physics (Trieste,9 month)
1998, 1999 – Mittag-Leffler Inst. of Mathematics, Sweden (9 month)
1999 – Kyoto University, Japan (1 month)
2000-2001, 2002, 2003 – Stockholm University, Sweden (6 month)
2000 – Oxford University, UK (1 month)
2001 – Fields Institute, Toronto (1 month)
2001, 2002, 2003, 2005 – Institut des Hautes Études Scientifiques, France (5 month)
2002 – Erwin Schrödinger International Institute for Mathematical Physics, Vien (1 month)
2005 – Max-Planck Institute fuer Mathematik, Bonn (3 month)
Awards and grants
1983 – Prize of Republic Counsel for Science and Technology
1993–1995 – Grants of American Mathematical Society, International Science Foundation (Soros Foundation) INTAS (International association for the Promotion of Cooperation with Scientists from former USSR)
1995–1996 – Alexander von Humboldt Fellowship
1999–2004 – Grant of Swedish Royal Academy of Sciences
1999 – Grant of JSPS (Japan Soc. Promotion of Sciences)
2000–2003 – Grant of INTAS
2000–2004 – Kazakh State Fellowship for distinguished scholars
2007, 2016 – Grant of Kazakh Ministry of Education "Best professor of Higher School"
2011–2012 – Kazakh State Fellowship for distinguished scholars
2011 – State Prize of the Republic of Kazakhstan in science and technology
2012 – International Khwarizmi Award (Islamic Republic of Iran)
Recognition
In 2016, Askar Dzhumadilyavev was chosen as one of the nominees in the "Science" category of the national project «El Tulgasy» (Name of the Motherland) The idea of the project was to select the most significant citizens of Kazakhstan whose names are now associated with the achievements of the country. More than 350,000 people vote |
https://en.wikipedia.org/wiki/Fabricio%20Lusa | Fabricio Lusa (born 11 March 1992) is a Brazilian footballer who plays for Bento Gonçalves as a midfielder.
Career statistics
References
External links
1992 births
Living people
People from Caxias do Sul
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Ykkönen players
Club Sportivo Sergipe players
Esporte Clube Bahia players
Esporte Clube Juventude players
Capivariano Futebol Clube players
Batatais Futebol Clube players
Clube Atlético Linense players
Veranópolis Esporte Clube Recreativo e Cultural players
Associação Olímpica de Itabaiana players
AC Kajaani players
Brazilian expatriate sportspeople in Finland
Expatriate men's footballers in Finland
Footballers from Rio Grande do Sul |
https://en.wikipedia.org/wiki/Clermont%20%28mathematician%29 | Clermont was a 17th-century French mathematician and military engineer. His book about practical geometry, La geometrie pratique de l'ingenieur, ou L'art de mesurer (1693), was a reference work reprinted for 60 years.
Clermont served in the French Army as artillery commissary.
Works
References
17th-century births
18th-century deaths
17th-century French mathematicians
French engineers
Military engineers |
https://en.wikipedia.org/wiki/Junpei%20Yamada | is a Japanese footballer. He is a goalkeeper.
He signed for Albirex Niigata (S) after graduating from Yamanashi Gakuin University.
Club career statistics
As of Oct 1, 2020
External links
References
1994 births
Living people
Japanese men's footballers
Singapore Premier League players
Albirex Niigata Singapore FC players
Men's association football goalkeepers
Yamanashi Gakuin University alumni |
https://en.wikipedia.org/wiki/Ryota%20Nakai | is a Japanese footballer. He is a forward.
He signed for Albirex Niigata (S) after graduating from Momoyama Gakuin University. His first season will be from 2017.
Club career statistics
As of Jan 2, 2017
References
External links
1995 births
Living people
Japanese men's footballers
Singapore Premier League players
Albirex Niigata Singapore FC players
Men's association football forwards
Association football people from Osaka |
https://en.wikipedia.org/wiki/Structural%20Equations%20with%20Latent%20Variables | Structural Equations with Latent Variables is a statistics textbook authored by Kenneth Bollen and published in 1989. It aims to provide a framework for understanding and applying structural equation modeling. It is commonly used in graduate-level courses that focus on structural equation modeling within the social sciences.
Structural Equations with Latent Variables explores various topics in the statistics field, covering measurement validity and reliability, overall fit indices, model identification, causality, and the statistical software package LISREL. Examples are provided from sociology, economics, and psychology to illustrate the practical applications of these methods.
The book focuses on the examination of covariances rather than individual cases.
Chapters
Introduction
Model Notation, Covariances, and Path Analysis
Causality and Causal Models
Structural Equation Models, with Observed Variables
The Consequences of Measurement Error
Measurement Models: The Relation between Latent and Observed Variables
Confirmatory Factor Analysis
The General Model, Part I: Latent Variable and Measurement Models Combined
The General Model, Part II: Extensions
Reviews
The book generally received positive reviews, and currently has a 4.4 star rating on Amazon.
References
1989 non-fiction books
Statistics books
Structural equation models |
https://en.wikipedia.org/wiki/Bruno%20Maia | Bruno Gonçalves Maia de Souza (born 19 April 1988), known as Bruno Maia, is a Brazilian footballer who plays for Portuguesa as defender.
Career statistics
References
External links
1988 births
Living people
Brazilian men's footballers
Men's association football defenders
América Futebol Clube (MG) players
Esporte Clube Mamoré players
Guarani FC players
Guarani Esporte Clube (MG) players
Red Bull Bragantino II players
Avaí FC players
Mirassol Futebol Clube players
América Futebol Clube (RN) players
Capivariano Futebol Clube players
Boa Esporte Clube players
Botafogo Futebol Clube (PB) players
Clube do Remo players
Sertãozinho Futebol Clube players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Associação Portuguesa de Desportos players
People from Além Paraíba
Footballers from Minas Gerais |
https://en.wikipedia.org/wiki/Clayton%20%28footballer%2C%20born%20November%201988%29 | Clayton Ely Oriani Junior (born November 8, 1988 in Piracicaba), simply known as Clayton, is a Brazilian footballer who plays for XV de Piracicaba as midfielder.
Career statistics
References
External links
1988 births
Living people
Brazilian men's footballers
Men's association football midfielders
Esporte Clube XV de Novembro (Piracicaba) players
Footballers from Piracicaba |
https://en.wikipedia.org/wiki/Clebsch%20representation | In physics and mathematics, the Clebsch representation of an arbitrary three-dimensional vector field is:
where the scalar fields and are known as Clebsch potentials or Monge potentials, named after Alfred Clebsch (1833–1872) and Gaspard Monge (1746–1818), and is the gradient operator.
Background
In fluid dynamics and plasma physics, the Clebsch representation provides a means to overcome the difficulties to describe an inviscid flow with non-zero vorticity – in the Eulerian reference frame – using Lagrangian mechanics and Hamiltonian mechanics. At the critical point of such functionals the result is the Euler equations, a set of equations describing the fluid flow. Note that the mentioned difficulties do not arise when describing the flow through a variational principle in the Lagrangian reference frame. In case of surface gravity waves, the Clebsch representation leads to a rotational-flow form of Luke's variational principle.
For the Clebsch representation to be possible, the vector field has (locally) to be bounded, continuous and sufficiently smooth. For global applicability has to decay fast enough towards infinity. The Clebsch decomposition is not unique, and (two) additional constraints are necessary to uniquely define the Clebsch potentials. Since is in general not solenoidal, the Clebsch representation does not in general satisfy the Helmholtz decomposition.
Vorticity
The vorticity is equal to
with the last step due to the vector calculus identity So the vorticity is perpendicular to both and while further the vorticity does not depend on
Notes
References
Vector calculus
Fluid dynamics
Plasma physics |
https://en.wikipedia.org/wiki/Rodrigo%20Celeste | Rodrigo Celeste (born 30 June 1990) is a Brazilian footballer who plays for Ituano as a midfielder.
Personal life
Rodrigo's brother Bruno Celeste is also a footballer.
Career statistics
References
External links
1990 births
Living people
Footballers from São José dos Campos
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Ituano FC players |
https://en.wikipedia.org/wiki/Jacio | Jacio Marcos de Jesus (born July 30, 1989 in São Paulo), known as Jacio Marcos or Jacio de Jesus or simply Jacio, is a Brazilian footballer who plays for Penapolense as midfielder.
Career statistics
References
External links
1989 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Expatriate men's footballers in South Korea
Men's association football midfielders
Operário Ferroviário Esporte Clube players
Busan IPark players
Paraná Clube players
Capivariano Futebol Clube players
Clube Atlético Penapolense players
K League 1 players
Campeonato Brasileiro Série B players
Brazilian expatriate sportspeople in South Korea
Footballers from São Paulo |
https://en.wikipedia.org/wiki/Tiago%20Marques | Tiago Marques Rezende (born March 3, 1988 in Jataí), known as Tiago Marques, is a Brazilian footballer who plays as a forward for Criciúma.
Career statistics
References
External links
1988 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
K League 1 players
Esporte Clube XV de Novembro (Piracicaba) players
Comercial Futebol Clube (Ribeirão Preto) players
Clube Atlético Sorocaba players
Grêmio Barueri Futebol players
Associação Ferroviária de Esportes players
Botafogo Futebol Clube (SP) players
Esporte Clube Juventude players
Jeju United FC players
Associação Atlética Ponte Preta players
Esporte Clube Água Santa players
Expatriate men's footballers in South Korea
Brazilian expatriate sportspeople in South Korea
Footballers from Goiás
People from Jataí |
https://en.wikipedia.org/wiki/Isotropic%20measure | In probability theory, an isotropic measure is any mathematical measure that is invariant under linear isometries. It is a standard simplification and assumption used in probability theory. Generally, it is used in the context of measure theory on -dimensional Euclidean space, for which it can be intuitive to study measures that are unchanged by rotations and translations. An obvious example of such a measure is the standard way of assigning a measure to subsets of n-dimensional Euclidean space: Lebesgue measure.
Definition
An isotropic measure on is a (Borel) measure that is absolutely continuous on and that is invariant under linear isometries of . Alternatively, an isotropic measure, , is a measure for which there exists a real density function on such that for .
Example
The Lebesgue measure on is invariant under linear isometries and is hence an isotropic measure. In this case, .
For , the linear isometries of are of the form or , for some constant . Hence an isotropic measure on must satisfy , for any and . The measure , for , is one such isotropic measure.
Unimodal measure
In probability theory it is common that another assumption is added to measures in addition to the measure being isotropic. A unimodal measure (or isotropic unimodal measure) is any isotropic measure such that is nonincreasing on . It is possible that .
Isotropic and unimodal stochastic processes
In studying stochastic processes, in particular Lévy processes, a reasonable assumption to make is that, for each element of the index set, the probability distributions of the random variables are isotropic or even unimodal measures.
More specifically, an isotropic Lévy process is a Lévy process, , such that all its distributions, , are isotropic measures. A unimodal Lévy process (or isotropic unimodal Lévy process) is a Lévy process, , such that all its distributions, , are unimodal measures.
See also
Measure (mathematics)
Stochastic process
Lévy process
References
Probability theory
Measures (measure theory) |
https://en.wikipedia.org/wiki/Jeffrey%20S.%20Tanaka | Jeffrey Scott Tanaka (1958 November 3, 1992) was an American psychologist and statistician, known for his work in educational psychology, social psychology and various fields of statistics including structural equation modeling.
Biography
Tanaka was born in Los Angeles in 1958 to parents Margaret and Shoji Tanaka. In 1979, Tanaka received an A.B. (cum laude) in quantitative psychology at UCLA, followed by an M.A. in psychology in 1980 and a PhD in psychometrics in 1984.
His professional academic career began at New York University (NYU), where he was assistant professor of psychology from 1983. In 1990, he joined the University of Illinois, Urbana-Champaign as associate professor while continuing his career at NYU as visiting research associate professor.
Tanaka applied himself in a wide range of fields. As a psychologist, he worked in social psychology, educational psychology and cognition. In statistics, his research interests included structural equation modeling, factor analysis and categorical data analysis.
On November 3, 1992, Tanaka died in an automobile accident near Bondville, Illinois at the age of 34.
Legacy
Due to his work with the American Psychological Association (APA) in raising awareness for ethnic minority issues in academia (Tanaka was an ethnic minority himself), the APA named their Jeffrey S. Tanaka Dissertation Award in his memory.
In 1993, the Journal of Personality started to run a series of papers titled The Jeffrey S. Tanaka Occasional Papers in Quantitative Methods for Personality in Tanaka's memory. As of 2011, papers were still being written for the series.
In 1994, the Society of Multivariate Experimental Psychology introduced the Tanaka Award for Best Article in Multivariate Behavioral Research, given annually to the authors of the most outstanding paper in the Multivariate Behavioral Research journal.
Publications
Selected academic works
The works below are listed by number of times cited (descending), according to data from Google Scholar (correct as of January 2017).
References
1958 births
1992 deaths
20th-century American psychologists
New York University faculty
University of California, Los Angeles alumni
University of Illinois Urbana-Champaign faculty |
https://en.wikipedia.org/wiki/Central%20Bureau%20of%20Statistics%20%28North%20Korea%29 | Central Bureau of Statistics (CBS; ; also known as the Central Statistic Bureau, or the Central Statistical Bureau) is the national statistical office of North Korea.
Recent censuses of North Korea have been conducted by CBS. It has also published statistics about electricity.
Very little is known about the bureau or its staff, and even its ability to compose accurate statistics is in dispute. Their accuracy has been disputed by various United Nations organizations and foreign observers.
History
The Central Bureau of Statistics (CBS) was founded in 1952 under the State Planning Commission of North Korea, but the relationship between these two organizations today is not known.
CBS held the first North Korean census in 1989. Before that, the most up-to-date population figures were available from 1963.
Usually, statistical affairs in North Korea are run by the Bureau, but some statistics such as those pertaining to the total population and mortality, are done by a separate organization called the Population Division, which was founded in 1993 in time for the 1993 census. Before the census, the CBS tallied the population based on numbers in the "population registration system" maintained by local administrative levels.
The newest North Korean census in 2008 was carried out by the CBS, and the next one was scheduled for 2018. It also makes statistics about the country's energy.
Organization
CBS is the national statistical office of North Korea. It is headquartered in Inhung-Dong of Moranbong District of the capital, Pyongyang. It has branches in all provinces. Its Director General since 2014 is Ri Sung-ho. He was preceded by Kim Chang-su, who was formerly the Director of the Bureau since March 1990 before becoming its Director General in March 1996. Before him, Shin Gyeon-sik was the Director General since May 1990.
The Bureau is part of the state planning apparatus by reporting directly to the Administrative Council. The Bureau is directly under the Cabinet of North Korea.
Criticism
The abilities of the Bureau to compile accurate statistics are "an open question". Although the Bureau was founded to collect data for the purposes of administration and economic control, it is unclear if it has access to information about all sectors of the North Korean economy today. Nothing is known about the number and training of its staff. Since the late 1960s, the Bureau has published a mere two reports. Kim Il Sung himself asserted that statistics compiled by the Bureau are subject to national security considerations and, as such, are not inherently public.
Nicholas Eberstadt illustrates the Bureau's problem with low-quality statistics based on his exchange with its officials in 1990: "In trying to ascertain the definition of an 'urban area' in the DPRK, it soon became clear that there was, in fact, no standard specification demarcating 'urban' and 'rural' communities". Instead, populated places are classified as rural or urban on an ad hoc basis. Accord |
https://en.wikipedia.org/wiki/Davinia%20Vanmechelen | Davinia Vanmechelen (born 30 August 1999) is a Belgian footballer. She plays as a forward for Club YLA and the Belgium women's national football team.
Career statistics
International
References
External links
Davinia Vanmechelen at Soccerdonna.de
Davinia Vanmechelen at Club YLA
1999 births
Living people
Belgian women's footballers
Belgium women's international footballers
Standard Liège (women) players
Women's association football forwards
Paris Saint-Germain Féminine players
KRC Genk Ladies players
PSV (women) players
Expatriate women's footballers in France
Expatriate women's footballers in the Netherlands
Belgian expatriate sportspeople in France
Belgian expatriate sportspeople in the Netherlands
Belgian expatriate women's footballers
Division 1 Féminine players
Eredivisie (women) players
Super League Vrouwenvoetbal players
Sportspeople from Sint-Truiden
Footballers from Limburg (Belgium)
UEFA Women's Euro 2022 players
Belgium women's youth international footballers
Club YLA players
UEFA Women's Euro 2017 players |
https://en.wikipedia.org/wiki/Jo%C3%A3o%20Paulo%20%28footballer%2C%20born%20March%201988%29 | João Paulo Sales de Souza (born 18 March 1988), known as João Paulo, is a Brazilian footballer who plays as forward for Thai League 3 club Udon United.
Career statistics
Honours
Club
Lamphun Warrior
Thai League 3: 2020–21
References
External links
1988 births
Living people
Brazilian men's footballers
Men's association football forwards
Fernandópolis Futebol Clube players
América Futebol Clube (SP) players
Marília Atlético Clube players
Cianorte Futebol Clube players
Operário Ferroviário Esporte Clube players
Clube Náutico Marcílio Dias players
Mixto Esporte Clube players
Olímpia Futebol Clube players
Esporte Clube Democrata players
Boa Esporte Clube players
Tombense Futebol Clube players
River Atlético Clube players
Rio Claro Futebol Clube players
Esporte Clube São Bento players
Club Blooming players
Viettel FC players
Joao Paulo
Joao Paulo
Joao Paulo
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Campeonato Paranaense players
Bolivian Primera División players
V.League 1 players
Joao Paulo
Brazilian expatriate men's footballers
Brazilian expatriate sportspeople in Bolivia
Brazilian expatriate sportspeople in Vietnam
Brazilian expatriate sportspeople in Thailand
Expatriate men's footballers in Thailand
Expatriate men's footballers in Vietnam
Expatriate men's footballers in Bolivia
People from Fernandópolis
Footballers from São Paulo (state) |
https://en.wikipedia.org/wiki/Boleng | {
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Boleng is a town in Siang district, lying on the banks of Siang River in the Indian state of Arunachal Pradesh. It is the headquarters of the newly created Siang District, which was bifurcated from West Siang and East Siang. It is located about 100 km from Pasighat, East Siang district of Arunachal Pradesh. The district is named after the Brahmaputra, locally known as Siang.
Culture
The people of Boleng celebrate a variety of festivals. Solung, Aran, Etor etc are important festivals here. Legend has it that Solung, which is the principal festival of the Adis, came into existence when the Goddess of Wealth, Kiine-Naane asked them in person to carry out the worship or 'puja'.
Solung is celebrated by the Adis for five days. The first day or the Solung Gidi Dogin is the day when they prepare for this event. Doreph Long, the second day is the day of animal slaughters. Binnyat Binam or the third day is the day of prayers. Taktor of Ekoph is the fourth day and on this day arms and ammunition are manufactured. Miri or the fifth day is the day of farewell. The songs that are sung during Solung are the lyrics of Solung Abang that show the life of humans, animals, plants, etc. Solung is celebrated in the month of September.
Popular dances in Boleng include the Ponung dance and the war dance called Taapu. Boleng is also ideal for adventure sports activities. The archaeological site of Malinithan (200 km) in the neighbouring West Siang district is linked to the legend of Lord Krishna and his wife Rukmini. The dismembered head of Sati (Parvati) is said to have fallen at Akashiganga (100 km) according to ancient Hindu mythology.
Languages
The main language spoken in the area is Adi. Other languages include Hindi, Assamese, Nepali, etc.
Connectivity
The town is connected to Pasighat and Along by daily private sumo service. The nearest railway station is Murkongselek railway station in Dhemaji district, Assam.
Demographics
As of the Census of India 2011, Boleng had a population of 5,776. Males constitute 51.3% of the population and females 48.7%. Boleng has an average literacy rate of 79%, higher than the national average of 59.5%: male literacy is 53.6%, and female literacy is 46.4%.
Climate
Gallery
References
Siang district |
https://en.wikipedia.org/wiki/Univariate%20%28statistics%29 | Univariate is a term commonly used in statistics to describe a type of data which consists of observations on only a single characteristic or attribute. A simple example of univariate data would be the salaries of workers in industry. Like all the other data, univariate data can be visualized using graphs, images or other analysis tools after the data is measured, collected, reported, and analyzed.
Univariate data types
Some univariate data consists of numbers (such as the height of 65 inches or the weight of 100 pounds), while others are nonnumerical (such as eye colors of brown or blue). Generally, the terms categorical univariate data and numerical univariate data are used to distinguish between these types.
Categorical univariate data
Categorical univariate data consists of non-numerical observations that may be placed in categories. It includes labels or names used to identify an attribute of each element. Categorical univariate data usually use either nominal or ordinal scale of measurement.
Numerical univariate data
Numerical univariate data consists of observations that are numbers. They are obtained using either interval or ratio scale of measurement. This type of univariate data can be classified even further into two subcategories: discrete and continuous. A numerical univariate data is discrete if the set of all possible values is finite or countably infinite. Discrete univariate data are usually associated with counting (such as the number of books read by a person). A numerical univariate data is continuous if the set of all possible values is an interval of numbers. Continuous univariate data are usually associated with measuring (such as the weights of people).
Data analysis and applications
Univariate analysis is the simplest form of analyzing data. Uni means "one", so the data has only one variable (univariate). Univariate data requires to analyze each variable separately. Data is gathered for the purpose of answering a question, or more specifically, a research question. Univariate data does not answer research questions about relationships between variables, but rather it is used to describe one characteristic or attribute that varies from observation to observation. Usually there are two purposes that a researcher can look for. The first one is to answer a research question with descriptive study and the second one is to get knowledge about how attribute varies with individual effect of a variable in Regression analysis. There are some ways to describe patterns found in univariate data which include graphical methods, measures of central tendency and measures of variability.
Like other forms of statistics, it can be inferential or descriptive. The key fact is that only one variable is involved.
Univariate analysis can yield misleading results in cases in which multivariate analysis is more appropriate.
Measures of central tendency
Central tendency is one of the most common numerical descriptive measures. It's use |
https://en.wikipedia.org/wiki/Laguerre%E2%80%93Forsyth%20invariant | In projective geometry, the Laguerre–Forsyth invariant is a cubic differential that is an invariant of a projective plane curve. It is named for Edmond Laguerre and Andrew Forsyth, the latter of whom analyzed the invariant in an influential book on ordinary differential equations.
Suppose that is a three-times continuously differentiable immersion of the projective line into the projective plane, with homogeneous coordinates given by then associated to p is the third-order ordinary differential equation
Generically, this equation can be put into the form
where are rational functions of the components of p and its derivatives. After a change of variables of the form , this equation can be further reduced to an equation without first or second derivative terms
The invariant is the Laguerre–Forsyth invariant.
A key property of is that the cubic differential is invariant under the automorphism group of the projective line. More precisely, it is invariant under , , and .
The invariant vanishes identically if (and only if) the curve is a conic section. Points where vanishes are called the sextactic points of the curve. It is a theorem of Herglotz and Radon that every closed strictly convex curve has at least six sextactic points. This result has been extended to a variety of optimal minima for simple closed (but not necessarily convex) curves by , depending on the curve's homotopy class in the projective plane.
References
Projective geometry |
https://en.wikipedia.org/wiki/Rodrigo%20Biro | Rodrigo Pereira Lima (born 18 November 1986), known as Rodrigo Biro, is a Brazilian footballer who plays for Água Santa as a left back.
Career statistics
References
External links
1986 births
Living people
People from Araçatuba
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Clube Atlético Penapolense players
Mirassol Futebol Clube players
Footballers from São Paulo (state) |
https://en.wikipedia.org/wiki/Convenience%20sampling | Convenience sampling (also known as grab sampling, accidental sampling, or opportunity sampling) is a type of non-probability sampling that involves the sample being drawn from that part of the population that is close to hand. This type of sampling is most useful for pilot testing.
Applications
Convenience sampling is not often recommended for research due to the possibility of sampling error and lack of representation of the population. But it can be handy depending on the situation. In some situations, convenience sampling is the only possible option. For example, a college student who is doing a term project and wants to know the average consumption of soda in that college town on Friday night will most probably call some of his friends and ask them how many cans of soda they drink, or go to a nearby party to do an easy survey. There is always a trade-off between this method of quick sampling and accuracy. Collected samples may not represent the population of interest and therefore be a source of bias.
In the example above, if said college town has a small population and mostly consists of students, and that particular student chooses a graduation party for survey, then his sample has a fair chance to represent the population. Larger sample size will reduce the chance of sampling error occurring.
Another example would be a gaming company that wants to know how one of its games is doing in the market one day after its release. Its analyst may choose to create an online survey on Facebook to rate that game. The major challenge of this approach will be reaching to the people who play games. As social media is a vast place, it's always difficult to collect samples from the population of interest. Most people may not be interested or take the survey seriously while completing it, which results in sampling error. The survey may be improved greatly if the analyst posts it to fan pages dedicated to game lovers. He may find a lot more people in that group who would be inclined to judge and rate the game critically.
Advantages
Convenience sampling can be used by almost anyone and has been around for generations. One of the reasons that it is most often used is due to the numerous advantages it provides. This method is extremely speedy, easy, readily available, and cost-effective, causing it to be an attractive option to most researchers.
Expedited data collection
When time is of the essence, many researchers turn to convenience sampling for data collection, as they can swiftly gather data and begin their calculations. It is useful in time sensitive research because very little preparation is needed to use convenience sampling for data collection. It is also useful when researchers need to conduct pilot data collection in order to gain a quick understanding of certain trends or to develop hypotheses for future research. By rapidly gathering information, researchers and scientists can isolate growing trends, or extrapolate generalized informatio |
https://en.wikipedia.org/wiki/Johanna%20Konta%20career%20statistics | Johanna Konta is a British former professional tennis player who was ranked as high as No. 4 in the world. She won four singles titles on the WTA Tour, as well as eleven singles and four doubles titles on the ITF Circuit in her career. Below is a list of her career achievements and titles won.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup/Billie Jean King Cup and Olympic Games are included in win–loss records.
Singles
Doubles
Significant finals
Premier Mandatory & Premier 5
Singles: 3 (1 title, 2 runner-ups)
WTA career finals
Singles: 9 (4 titles, 5 runner-ups)
ITF Circuit finals
Singles: 14 (11 titles, 3 runner-ups)
Doubles: 7 (4 titles, 3 runner-ups)
Fed Cup participation
Singles
Doubles
WTA Tour career earnings
Career Grand Slam statistics
Grand Slam seedings
The tournaments won by Konta are in boldface, and advanced into finals by Konta are in italics.
Best Grand Slam tournament results details
Head-to-head record
Record against top 10 players
Konta's record against players who have been ranked in the top 10. Active players are in boldface:
No. 1 wins
Top 10 wins
Notes
References
External links
Tennis career statistics |
https://en.wikipedia.org/wiki/Multiverse%20%28set%20theory%29 | In mathematical set theory, the multiverse view is that there are many models of set theory, but no "absolute", "canonical" or "true" model. The various models are all equally valid or true, though some may be more useful or attractive than others. The opposite view is the "universe" view of set theory in which all sets are contained in some single ultimate model.
The collection of countable transitive models of ZFC (in some universe) is called the hyperverse and is very similar to the "multiverse".
A typical difference between the universe and multiverse views is the attitude to the continuum hypothesis. In the universe view the continuum hypothesis is a meaningful question that is either true or false though we have not yet been able to decide which. In the multiverse view it is meaningless to ask whether the continuum hypothesis is true or false before selecting a model of set theory. Another difference is that the statement "For every transitive model of ZFC there is a larger model of ZFC in which it is countable" is true in some versions of the multiverse view of mathematics but is false in the universe view.
References
Set theory
Philosophy of mathematics
Foundations of mathematics |
https://en.wikipedia.org/wiki/Arab%20Institute%20for%20Training%20and%20Research%20in%20Statistics | The Arab Institute for Statistics (), formally the Arab Institute for Training and Research in Statistics (AITRS) () is an intergovernmental statistical institute serving the National Statistical Offices in all Arab League countries established in 1971 by the United Nations Development Programme (UNDP) under the name "Regional Institute for training and Research in Statistics for the Near East".
Board of trustees
The Board of Trustees is composed of the heads of the national statistical offices in all Arab League countries. They meet once per year.
See also
Arab League
Arab Fund for Economic and Social Development (AFESD)
Bloudan Conference (1937)
Council of Arab Economic Unity (CAEU)
General Union of Chambers of Commerce, Industry and Agriculture for Arab Countries
International Confederation of Arab Trade Unions
List of national and international statistical services
External links
Arab Institute for Training and Research in Statistics (official site).
The League of Arab States
United Nations Statistics Division
SESRIC - Statistical, Economic and Social Research and Training Centre for Islamic Countries
FAO Regional Office for Near East and North Africa
Arab League
International research institutes for mathematics
Statistics education |
https://en.wikipedia.org/wiki/Henry%20Austine%20Ugochukwu | Henry Austine Ugochukwu (born May 17, 1992) is a Nigerian professional football player, who plays for Cascavel as forward.
Career statistics
References
External links
1992 births
Living people
Nigerian men's footballers
Campeonato Brasileiro Série B players
Londrina Esporte Clube players
Horizonte Futebol Clube players
Men's association football forwards |
https://en.wikipedia.org/wiki/Jo%C3%A3o%20Pedro%20%28footballer%2C%20born%201997%29 | João Pedro Heinen Silva (born 20 January 1997), known as João Pedro, is a Brazilian footballer who plays as a midfielder for Ponte Preta.
Career statistics
References
External links
1997 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Guaratinguetá Futebol players
Club Athletico Paranaense players
Paraná Clube players
Botafogo de Futebol e Regatas players
Atlético Clube Goianiense players |
https://en.wikipedia.org/wiki/Gilsinho%20%28footballer%2C%20born%201981%29 | Gilson Adriano de Oliveira (born April 13, 1981 in Monte Azul Paulista), known as Gilsinho, is a Brazilian footballer who plays as midfielder.
Career statistics
References
External links
1981 births
Living people
Brazilian men's footballers
Men's association football midfielders
Agremiação Sportiva Arapiraquense players
People from Monte Azul Paulista
Footballers from São Paulo (state) |
https://en.wikipedia.org/wiki/Denis%20Neves | Denis Neves Rezende da Silva (born 22 April 1990), known as Denis Neves, is a Brazilian footballer who plays for Guarani as a left back.
Career statistics
References
External links
1990 births
Living people
People from Pirassununga
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Coritiba Foot Ball Club players
Botafogo Futebol Clube (SP) players
Guarani FC players
Footballers from São Paulo (state) |
https://en.wikipedia.org/wiki/Fabiano%20%28footballer%2C%20born%201983%29 | Francisco Fabiano Pereira Marciano (born April 28, 1983), known as Fabiano Pereira or Fabiano, is a Brazilian footballer who plays as defender for ASA.
Career statistics
References
External links
1983 births
Living people
Brazilian men's footballers
Men's association football defenders
ABC Futebol Clube players
Sousa Esporte Clube players
América Futebol Clube (RN) players
Alecrim Futebol Clube players
Agremiação Sportiva Arapiraquense players
Maringá Futebol Clube players
Foz do Iguaçu Futebol Clube players
Nacional Futebol Clube players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Campeonato Paranaense players
Footballers from Rio Grande do Norte |
https://en.wikipedia.org/wiki/Khaled%20Al-Dardour | Khaled Al-Dardour (; born May 23, 1996) is a Jordanian football player who plays as a forward for Shabab Al-Ordon, Jordan and Jordan U-23.
International career statistics
References
External links
jo.gitsport.net
eurosport.com
Jordanian men's footballers
Men's association football forwards
1996 births
Living people
Jordan men's international footballers
Jordan men's youth international footballers
Al-Ramtha SC players
Al-Baqa'a SC players
Sahab SC players
Shabab Al-Ordon SC players
Jordanian Pro League players |
https://en.wikipedia.org/wiki/%C3%8Dtalo%20%28footballer%2C%20born%201989%29 | Ítalo Anderson Duarte de Santana (born February 22, 1989, in Maceió), simply known as Ítalo, is a Brazilian footballer who plays as defender for Treze.
Career statistics
References
External links
1989 births
Living people
Brazilian men's footballers
Men's association football defenders
Clube de Regatas Brasil players
Treze Futebol Clube players
Footballers from Maceió |
https://en.wikipedia.org/wiki/Relative%20effective%20Cartier%20divisor | In algebraic geometry, a relative effective Cartier divisor is roughly a family of effective Cartier divisors. Precisely, an effective Cartier divisor in a scheme X over a ring R is a closed subscheme D of X that (1) is flat over R and (2) the ideal sheaf of D is locally free of rank one (i.e., invertible sheaf). Equivalently, a closed subscheme D of X is an effective Cartier divisor if there is an open affine cover of X and nonzerodivisors such that the intersection is given by the equation (called local equations) and is flat over R and such that they are compatible.
An effective Cartier divisor as the zero-locus of a section of a line bundle
Let L be a line bundle on X and s a section of it such that (in other words, s is a -regular element for any open subset U.)
Choose some open cover of X such that . For each i, through the isomorphisms, the restriction corresponds to a nonzerodivisor of . Now, define the closed subscheme of X (called the zero-locus of the section s) by
where the right-hand side means the closed subscheme of given by the ideal sheaf generated by . This is well-defined (i.e., they agree on the overlaps) since is a unit element. For the same reason, the closed subscheme is independent of the choice of local trivializations.
Equivalently, the zero locus of s can be constructed as a fiber of a morphism; namely, viewing L as the total space of it, the section s is a X-morphism of L: a morphism such that s followed by is the identity. Then may be constructed as the fiber product of s and the zero-section embedding .
Finally, when is flat over the base scheme S, it is an effective Cartier divisor on X over S. Furthermore, this construction exhausts all effective Cartier divisors on X as follows. Let D be an effective Cartier divisor and denote the ideal sheaf of D. Because of locally-freeness, taking of gives the exact sequence
In particular, 1 in can be identified with a section in , which we denote by .
Now we can repeat the early argument with . Since D is an effective Cartier divisor, D is locally of the form on for some nonzerodivisor f in A. The trivialization is given by multiplication by f; in particular, 1 corresponds to f. Hence, the zero-locus of is D.
Properties
If D and D' are effective Cartier divisors, then the sum is the effective Cartier divisor defined locally as if f, g give local equations for D and D' .
If D is an effective Cartier divisor and is a ring homomorphism, then is an effective Cartier divisor in .
If D is an effective Cartier divisor and a flat morphism over R, then is an effective Cartier divisor in X' with the ideal sheaf .
Examples
Hyperplane bundle
Effective Cartier divisors on a relative curve
From now on suppose X is a smooth curve (still over R). Let D be an effective Cartier divisor in X and assume it is proper over R (which is immediate if X is proper.) Then is a locally free R-module of finite rank. This rank is called the degree of D and is |
https://en.wikipedia.org/wiki/Andr%C3%A9%20Fortin%20%28mathematician%29 | André Fortin (born 1956) is a French Canadian mathematician, known for his research in applied and industrial mathematics. He holds a NSERC Research Chair in High Performance Scientific Computing at Université Laval.
Fortin earned his Ph.D. from the Université Laval in 1984.
His thesis advisor was Michel Fortin, a now emeritus professor of the Université Laval, recipient of Prix Summa in 1987 and prize CAIMS-SCMAI in 2005 and a member of the Royal Society of Canada in 1999.
Career
He is the director of the Groupe Interdisciplinaire de Recherche en Éléments Finis (GIREF).
In addition to over 150 research papers on mathematics, he has written a student textbook on numerical analysis for engineers "Analyse numérique pour ingénieurs" in 1994. The textbook has been awarded the Prix Roberval in 1996.
Moreover, Fortin has received the CAIMS-Fields Industrial Mathematics Prize in 2012 in recognition of his exceptional contribution throughout his career to research in industrial mathematics.
References
20th-century Canadian mathematicians
Academic staff of Université Laval
1956 births
21st-century Canadian mathematicians
Université Laval alumni
Living people |
https://en.wikipedia.org/wiki/First%20and%20second%20fundamental%20theorems%20of%20invariant%20theory | In algebra, the first and second fundamental theorems of invariant theory concern the generators and the relations of the ring of invariants in the ring of polynomial functions for classical groups (roughly the first concerns the generators and the second the relations). The theorems are among the most important results of invariant theory.
Classically the theorems are proved over the complex numbers. But characteristic-free invariant theory extends the theorems to a field of arbitrary characteristic.
First fundamental theorem
The theorem states that the ring of -invariant polynomial functions on is generated by the functions , where are in and .
Second fundamental theorem for general linear group
Let V, W be finite dimensional vector spaces over the complex numbers. Then the only -invariant prime ideals in are the determinant ideal
generated by the determinants of all the -minors.
Notes
References
Further reading
Ch. II, § 4. of E. Arbarello, M. Cornalba, P.A. Griffiths, and J. Harris, Geometry of algebraic curves. Vol. I, Grundlehren der Mathematischen Wissenschaften, vol. 267, Springer-Verlag, New York, 1985. MR0770932
Hanspeter Kraft and Claudio Procesi, Classical Invariant Theory, a Primer
Algebra |
https://en.wikipedia.org/wiki/Tribhuvanapala | {
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"type": "Feature",
"properties": { "marker-symbol": "monument", "title": "Kadi" },
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Tribhuvanapala (r. c. 1240–1244 CE) was the last king of the Chaulukya dynasty of western India. He ruled parts of present-day Gujarat from his capital at Anahilapataka (modern Patan). He ruled for a short period before dying heirless or being dethroned, after which the Vaghelas assumed control of the kingdom.
Early life
Tribhuvanapala succeeded Bhima II as the Chaulukya king. He is known from a 1242-43 CE Kadi inscription, some pattavalis, and the prologue of a drama. The chronicles about the dynasty do not mention him.
Tribhuvanapala's relationship to Bhima is not certain, although the various records suggest that he was the legal heir to the throne. His inscription states that he meditated at the feet of Bhima (a conventional way to describe a rightful heir). The inscriber of his inscription was Somasimha, and its drafter (dutaka) was Vayajaladeva: both these persons also worked on the grant inscriptions of Bhima. Tribhuvanapala's inscription records a grant to Vedagarbharashi, who had been appointed as a trustee of a Shaivite monastery by Bhima. Thus, Tribhuvanapala appears to have been a legitimate successor.
Reign
The prologue of Subhata's Sanskrit play Dutangada states that the play was composed by the order of the parishad (council) of Maharajadhiraja Tribhuvanapala. The occasion was a spring festival procession of Kumarapaleshvara ("Lord of Kumarapala") at Devapattana (modern Prabhas Patan or Somnath). The festival was probably held to celebrate the restoration of a Shiva temple commissioned by the earlier king Kumarapala.
According to one record, a ruler called Tribhuvana-Ranaka killed Bala, a general of the Guhila ruler Jaitrasimha, who was trying to recapture Kottadaka (modern Kotada). This Tribhuvana-Ranaka is identified with Tribhuvanapala.
The Chaulukya dynasty ended with Tribhuvanapala. The Vaghela generals Lavanaprasada and Viradhavala had become powerful during the reign of his predecessor Bhima II. Viradhavala's son Visaladeva became the next king after Tribhuvanapala's death. One theory is that the Vaghelas forcibly dethroned Tribhuvanapala. However, it is also possible that Tribhuvanapala died heirless, because of which the Vaghelas assumed the control of the kingdom.
References
Bibliography
13th-century Indian monarchs
Chaulukya dynasty |
https://en.wikipedia.org/wiki/Biharmonic%20map | In the mathematical field of differential geometry, a biharmonic map is a map between Riemannian or pseudo-Riemannian manifolds which satisfies a certain fourth-order partial differential equation. A biharmonic submanifold refers to an embedding or immersion into a Riemannian or pseudo-Riemannian manifold which is a biharmonic map when the domain is equipped with its induced metric. The problem of understanding biharmonic maps was posed by James Eells and Luc Lemaire in 1983. The study of harmonic maps, of which the study of biharmonic maps is an outgrowth (any harmonic map is also a biharmonic map), had been (and remains) an active field of study for the previous twenty years. A simple case of biharmonic maps is given by biharmonic functions.
Definition
Given Riemannian or pseudo-Riemannian manifolds and , a map from to which is differentiable at least four times is called a biharmonic map if
given any point of , each side of this equation is an element of the tangent space to at . In other words, the above equation is an equality of sections of the vector bundle . In the equation, is an arbitrary -orthonormal basis of the tangent space to and is the Riemann curvature tensor, following the convention . The quantity is the "tension field" or "Laplacian" of , as was introduced by Eells and Sampson in the study of harmonic maps.
In terms of the trace, interior product, and pullback operations, the biharmonic map equation can be written as
In terms of local coordinates for and local coordinates for , the biharmonic map equation is written as
in which the Einstein summation convention is used with the following definitions of the Christoffel symbols, Riemann curvature tensor, and tension field:
It is clear from any of these presentations of the equation that any harmonic map is automatically biharmonic. For this reason, a proper biharmonic map refers to a biharmonic map which is not harmonic.
In the special setting where is a (pseudo-)Riemannian immersion, meaning that it is an immersion and that is equal to the induced metric , one says that one has a biharmonic submanifold instead of a biharmonic map. Since the mean curvature vector of is equal to the laplacian of , one knows that an immersion is minimal if and only if it is harmonic. In particular, any minimal immersion is automatically a biharmonic submanifold. A proper biharmonic submanifold refers to a biharmonic submanifold which is not minimal.
The motivation for the biharmonic map equation is from the bienergy functional
in the setting where is closed and and are both Riemannian; denotes the volume measure on induced by . Eells & Lemaire, in 1983, suggested the study of critical points of this functional. Guo Ying Jiang, in 1986, calculated its first variation formula, thereby finding the above biharmonic map equation as the corresponding Euler-Lagrange equation. Harmonic maps correspond to critical points for which the bioenergy functional takes on its minimal |
https://en.wikipedia.org/wiki/Stefano%20Montaldo | Professor Stefano Montaldo (born 1969) is an Italian mathematician working at the University of Cagliari in the fields of differential geometry and global analysis. Montaldo is well known for his research on biharmonic maps.
Montaldo earned his Ph.D. from the University of Leeds in 1996, under the supervision of John C. Wood.
References
External links
Home Page at University of Cagliari
Profile at Zentralblatt MATH
Profile at Google Scholar
1969 births
Living people
20th-century Italian mathematicians
21st-century Italian mathematicians
Alumni of the University of Leeds
Academic staff of the University of Cagliari |
https://en.wikipedia.org/wiki/Z%C3%A9%20Ivaldo | José Ivaldo Almeida Silva (born 21 February 1997), known as José Ivaldo or Zé Ivaldo, is a Brazilian footballer who plays as a central defender for Athletico Paranaense.
Career statistics
Honours
Athletico Paranaense
Campeonato Paranaense: 2018, 2019, 2020, 2023
Copa Sudamericana: 2018
Cruzeiro
Campeonato Brasileiro Série B: 2022
References
External links
1997 births
Living people
Footballers from Alagoas
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Club Athletico Paranaense players
Copa Sudamericana-winning players
Esporte Clube Vitória players
Cruzeiro Esporte Clube players |
https://en.wikipedia.org/wiki/Delia%20E.%20Wilder%20Carson | Delia E. Wilder Carson (January 25, 1833 – 1917) was an American educator from the U.S. state of New York. She taught mathematics, and served as preceptress of Ladies' Hall, at the University of Wisconsin (now University of Wisconsin–Madison).
Early years and education
Wilder was born in Athens, New York, January 25, 1833. Her father, Thomas Wilder, was one of eight brothers who migrated from Massachusetts when the eldest was a young man. Several were teachers, and all were closely identified with the development and progress of Genesee and Wyoming counties, New York, where they ultimately settled. Her mother's maiden name was Hannah Dow (b. July 20, 1806). Her siblings included: Henry Fayette Wilder, Sarah D. Wilder, Mary Wilder, Thomas Eugene Wilder, and Helen T. Wilder.
Carson was educated in the Alexander Classical Academy. She spent one term in the Albany Normal School (now University at Albany, SUNY), from which she received a diploma.
Career
From 1853 to 1856 she taught Mathematics at the Central Illinois Female Institute in Bloomington, Illinois and in 1859, took a similar position at the Bloomington Female College till it closed in 1871. She taught in Beloit, Wisconsin from 1871 to 1887 and she was preceptress of Ladies' Hall and a teacher of mathematics at the University of Wisconsin. Carson devoted much time to the study of art, and become identified with general art interests in Wisconsin, giving courses of lectures and leading classes of women in the study of the history of art. She traveled extensively, spending time in Italy, Sicily, Morocco, Algiers, Egypt, and Greece.
Personal life
In 1853, she married Delos Carson (born Wyoming County. N.Y., September 12, 1828). The next year, they moved to Bloomington, Illinois where he was engaged in business until October 28, 1862, when he enlisted in Company I, 3rd Regiment Illinois Volunteer Cavalry, from which he was promoted to Captain in the Sixth United States Heavy Artillery (colored) and was killed at Fort Pillow. They had one child.
References
Attribution
Bibliography
1833 births
1917 deaths
People from Greene County, New York
19th-century American educators
University of Wisconsin–Madison faculty
University at Albany, SUNY alumni
19th-century American women educators
Wikipedia articles incorporating text from A Woman of the Century
American women academics |
https://en.wikipedia.org/wiki/Leonardo%20Luiz | Leonardo Vinicius Pereira Luiz (born Jully 16, 1987 in Rio de Janeiro), known as Leonardo Luiz, is a Brazilian footballer who most recently played as defender for Artsul.
Career statistics
References
External links
1987 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Nova Iguaçu FC players
Volta Redonda FC players
Clube Náutico Capibaribe players
Esporte Clube XV de Novembro (Piracicaba) players
ABC Futebol Clube players
Fortaleza Esporte Clube players
Bangu Atlético Clube players
Treze Futebol Clube players
Esporte Clube Santo André players
Artsul Futebol Clube players
Footballers from Rio de Janeiro (city) |
https://en.wikipedia.org/wiki/Rhuan%20%28footballer%2C%20born%201991%29 | Rhuan Rogerio Elias Barbosa (born December 18, 1991 in Guaranésia), simply known as Rhuan, is a Brazilian footballer who plays as defender for Santo André.
Career statistics
References
External links
1991 births
Living people
Brazilian men's footballers
Men's association football defenders
Londrina Esporte Clube players |
https://en.wikipedia.org/wiki/Diogo%20Roque | Diogo Roberto Roque (born October 13, 1986), known as Diogo Roque, is a Brazilian footballer who plays as midfielder for Batel.
Career statistics
References
External links
Diogo Roque at ZeroZero
1986 births
Living people
Brazilian men's footballers
Men's association football midfielders
Clube de Regatas Brasil players
Paraná Clube players
Iraty Sport Club players
Brusque Futebol Clube players
Campeonato Brasileiro Série D players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série B players |
https://en.wikipedia.org/wiki/Franz%20Richarz | Franz Richarz (15 October 1860, in Endenich – 10 June 1920, in Marburg) was a German physicist. His father, also named Franz Richarz (1812–1887), was a noted psychiatrist.
He studied mathematics and physics at the universities of Berlin and Bonn, receiving his doctorate in 1884 with the dissertation Bildung von Ozon, Wasserstoffsuperoxyd und Ueberschwefelsäure bei der Electrolyse verdünnter Schwefelsäure ("The formation of ozone, hydrogen peroxide and sulfuric acid during the electrolysis of dilute sulfuric acid"). In 1888 he obtained his habilitation and worked as a lecturer of physics at the University of Bonn. In 1895 he succeeded Anton Oberbeck as professor of physics at the University of Greifswald, where he also served as director of the Physics Institute. In 1901 he relocated as a professor to the University of Marburg. In 1907 he became a member of the Deutsche Akademie der Naturforscher Leopoldina.
With Otto Krigar-Menzel, he conducted a series of experiments for determination of the gravitational constant and the Earth's mean density.
Selected works
Bestimmung der Gravitationsconstante und der mittleren Dichtigkeit der Erde durch Wägungen, 1898 – Determination of the gravitational constant and the mean density of the earth.
Neuere fortschritte auf dem gebiete der elektrizität, 1899; Recent advances in the field of electricity.
Ueber Temperaturänderungen in Künstlich auf- und Abbewegter Luft, 1902.
Vorlesungen über Theorie der Wärme (as editor; 1903) – Hermann Helmholtz' lectures on the theory of heat.
Zur Erinnerung an Paul Drude zwei Ansprachen (with Walter König, 1906); In memory of Paul Drude; two speeches.
Anfangsgründe der Maxwellschen Theorie verknüpft mit der Elektronentheorie, 1909 – The rudiments of Maxwell's theory combined with the electron theory.
References
1860 births
1920 deaths
Scientists from Bonn
Humboldt University of Berlin alumni
University of Bonn alumni
Academic staff of the University of Greifswald
Academic staff of the University of Marburg
20th-century German physicists
19th-century German physicists |
https://en.wikipedia.org/wiki/Izzuddin%20Hussin | Muhammad Izzuddin Muhamat Hussin (born 19 November 1992) is a Malaysian footballer who currently plays as a goalkeeper for Malaysian club T–Team.
Career statistics
Club
References
External links
1992 births
Living people
Malaysian people of Malay descent
Malaysian men's footballers
Malaysia men's international footballers
Malaysia Super League players
Men's association football goalkeepers
Terengganu F.C. II players
Footballers from Terengganu |
https://en.wikipedia.org/wiki/Alexander%20Zverev%20career%20statistics | This is a list of the main career statistics of German professional tennis player Alexander Zverev. All statistics are according to the ATP Tour and International Tennis Federation website.
Performance timelines
Singles
Current through the 2023 Vienna Open.
Doubles
Significant finals
Grand Slam finals
Singles: 1 (1 runner-up)
Olympic medal matches
Singles: 1 (1 gold medal)
Year-end championships
Singles: 2 (2 titles)
Masters tournaments
Zverev is the youngest player to win two consecutive Masters 1000 titles on different surfaces since the format started in 1990. Zverev is also the first player born in the 1990s to win multiple Masters 1000 titles.
Singles: 10 (5 titles, 5 runner-ups)
ATP career finals
Singles: 32 (21 titles, 11 runner-ups)
Doubles: 7 (2 titles, 5 runner-ups)
ATP Challengers and ITF Futures finals
Singles: 3 (2 titles, 1 runner-up)
Junior Grand Slam finals
Singles: 2 (1 title, 1 runner-up)
Head-to-head records
Record against top-10 players
Zverev's match record against players who have been ranked in the top 10, with those who are active in boldface.
Only ATP Tour (incl. Grand Slams) main draw, Davis Cup and Laver Cup matches are considered.
Record against No. 11–20 players
Zverev's record against players who have been ranked world No. 11–20, with those who are active in boldface.
Alex de Minaur 6–1
Kyle Edmund 4–0
Nicolás Jarry 4–2
Sam Querrey 3–0
Nikoloz Basilashvili 3–1
Viktor Troicki 3–1
Borna Ćorić 3–3
Nick Kyrgios 3–4
Guido Pella 2–0
Philipp Kohlschreiber 2–3
Marco Cecchinato 1–0
Alexandr Dolgopolov 1–0
Feliciano López 1–0
Lorenzo Musetti 1–0
Jarkko Nieminen 1–0
Benoît Paire 1–0
Albert Ramos Viñolas 1–0
Cristian Garín 1–1
Marcel Granollers 1–1
Paul-Henri Mathieu 1–1
Andreas Seppi 1–1
Chung Hyeon 1–2
Pablo Cuevas 0–1
Ivo Karlović 0–1
Florian Mayer 0–1
Tommy Paul 0–2
* Statistics correct .
Wins over top-10 players
Zverev has a record against players who were, at the time the match was played, ranked in the top 10.
National and international participation
Team competitions finals: 7 (5 titles, 2 runner-ups)
Olympic Games (8–1)
Laver Cup (8–3)
Davis Cup (9–6)
United Cup (1–2)
ATP Cup (4–7)
Hopman Cup finals (0–4)
Grand Slam seedings
*
ATP Tour career earnings
* Statistics correct .
German tournaments
Exhibition finals
Singles
See also
Germany Davis Cup team
List of Germany Davis Cup team representatives
Tennis in Germany
Sport in Germany
References
External links
Alexander Zverev at the ITF profile
Zverev Jr., Alexander
Sport in Germany |
https://en.wikipedia.org/wiki/Edinho%20%28footballer%2C%20born%201979%29 | Edison Carlos Felícissimo Polidório (born October 30, 1979, in Paraíba do Sul), known as Edinho, is a Brazilian footballer who plays as left back. His last club was Maringá.
Career statistics
Honours
Club
Vasco
Campeonato Carioca: 2003
References
External links
1979 births
Living people
Brazilian men's footballers
Men's association football defenders
CR Vasco da Gama players |
https://en.wikipedia.org/wiki/Ibrahim%20Al-Jawabreh | Ibrahim Al-Jawabreh (; born May 10, 1991) is a Jordanian football player, who currently plays as a forward for Al-Seeb.
International career statistics
References
External links
jo.gitsport.net
Jordanian men's footballers
Men's association football forwards
1991 births
Sahab SC players
Al-Ahli SC (Amman) players
Al-Jazeera SC (Amman) players
Al-Yarmouk SC (Amman) players
Mansheyat Bani Hasan SC players
That Ras SC players
Al-Wehdat SC players
Al-Seeb Club players
Jordanian Pro League players
Oman Professional League players
Living people
Jordan men's international footballers
Jordanian expatriate men's footballers
Jordanian expatriate sportspeople in Oman
Expatriate men's footballers in Oman
Footballers from Amman |
https://en.wikipedia.org/wiki/J.%20Scott%20Long | J. Scott Long is a distinguished professor of statistics and sociology at Indiana University Bloomington. Long completed his undergraduate degree at Juniata College in 1973. This was followed by graduate education at Cornell University, where Long finished both his masters in 1973 and Ph.D. in 1977. During his career, he has held appointments at Cornell University and Washington State University before coming to Indiana University in 1989. His career began by studying the dynamics of how doctoral graduates progress through scientific fields using data collected from biochemists. Following this, his research focused on the differences in career outcomes among male and female doctoral graduates, chairing a congressionally mandated committee of the National Academy of Sciences in the process. Over the course of his career, Dr. Long has published over seventy peer reviewed works in the field.
Awards
Long has been honored throughout his career by a number of different organizations. These include:
Sociological Research Association, Elected 1989
Edwin Sutherland Teaching Award, 1996
Paul F. Lazarsfeld Memorial Award for Distinguished Contributions to Sociological Methodology, 2002
Georgia Tech Center WST Distinguished Lecturer, 2007/2008
Freidson Award from the Medical Sociology Section of the American Sociological Association, 2009
Hurbert M. Blalock Lecture, Interuniversity Consortium of Political and Social Research, 2009
Key Note Speaker, Valedictory Conference for Jacques Hagenaars, Tilburg University, 2010
Ellis Lecture, Juniata College, 2010
Fellow of the American Statistical Association, 2013
References
Year of birth missing (living people)
Living people
American sociologists
Indiana University Bloomington faculty
Cornell University alumni
Juniata College alumni
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Jeferson%20Paulista | Jeferson Anti Filho (born March 27, 1992 in Piracicaba), known as Jeferson Paulista, is a Brazilian footballer who plays as midfielder.
Career statistics
References
External links
Jeferson Paulista at ZeroZero
1992 births
Living people
Brazilian men's footballers
Men's association football midfielders
Botafogo de Futebol e Regatas players
Oeste Futebol Clube players
Rio Claro Futebol Clube players
ABC Futebol Clube players
Rio Branco Esporte Clube players
Associação Desportiva Itaboraí players
Sociedade Esportiva do Gama players
Rio Preto Esporte Clube players
Grêmio Esportivo Juventus players
Nova Iguaçu FC players
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Footballers from Piracicaba |
https://en.wikipedia.org/wiki/Eurico%20%28footballer%2C%20born%201984%29 | Eurico Alessandro Degaspari (born September 23, 1984 in Piracicaba), known as Eurico, is a Brazilian footballer who plays as left back for Toledo.
Career statistics
References
External links
1984 births
Living people
Brazilian men's footballers
Men's association football defenders
Ituano FC players
Footballers from Piracicaba |
https://en.wikipedia.org/wiki/%CE%93-space | In mathematics, a -space is a topological space that satisfies a certain a basic selection principle.
An infinite cover of a topological space is an -cover if every finite subset of this space is contained in some member of the cover, and the whole space is not a member the cover. A cover of a topological space is a -cover if every point of this space belongs to all but finitely many members of this cover.
A -space is a space in which every open -cover contains a -cover.
History
Gerlits and Nagy introduced the notion of γ-spaces. They listed some topological properties and enumerated them by Greek letters. The above property was the third one on this list, and therefore it is called the γ-property.
Characterizations
Combinatorial characterization
Let be the set of all infinite subsets of the set of natural numbers. A set is centered if the intersection of finitely many elements of is infinite. Every set we identify with its increasing enumeration, and thus the set we can treat as a member of the Baire space . Therefore, is a topological space as a subspace of the Baire space . A zero-dimensional separable metric space is a γ-space if and only if every continuous image of that space into the space that is centered has a pseudointersection.
Topological game characterization
Let be a topological space. The -has a pseudo intersection if there is a set game played on is a game with two players Alice and Bob.
1st round: Alice chooses an open -cover of . Bob chooses a set .
2nd round: Alice chooses an open -cover of . Bob chooses a set .
etc.
If is a -cover of the space , then Bob wins the game. Otherwise, Alice wins.
A player has a winning strategy if he knows how to play in order to win the game (formally, a winning strategy is a function).
A topological space is a -space iff Alice has no winning strategy in the -game played on this space.
Properties
A topological space is a γ-space if and only if it satisfies selection principle.
Every Lindelöf space of cardinality less than the pseudointersection number is a -space.
Every -space is a Rothberger space, and thus it has strong measure zero.
Let be a Tychonoff space, and be the space of continuous functions with pointwise convergence topology. The space is a -space if and only if is Fréchet–Urysohn if and only if is strong Fréchet–Urysohn.
Let be a subset of the real line, and be a meager subset of the real line. Then the set is meager.
References
General topology |
https://en.wikipedia.org/wiki/Dale%20Husemoller | Dale Husemöller (also spelled Husemoller) is an American mathematician specializing in algebraic topology and homological algebra who is known for his books on fibre bundles, elliptic curves, and, in collaboration with John Milnor, symmetric bilinear forms.
Life and career
Husemöller was born in 1933 in Austin, Minnesota, USA. He earned his BA in mathematics at the University of Minnesota (December 1952). He began his graduate career there as a physicist, transferring to Harvard University in 1953. There, he switched from physics to the PhD program in mathematics.
He completed his Ph.D. at Harvard University in 1959. His doctoral supervisor was Lars Ahlfors. His dissertation topic was Mappings, Automorphisms and Coverings of Riemann Surfaces.
After the PhD, he served on the faculty of the University of Rochester (1958-59) and the Pennsylvania State University (1959 to 1961). There his interests shifted to topology. He spent most of his career at Haverford College from 1961 until his retirement in 1996. He is currently Professor Emeritus at Haverford.
During Husemöller's career, he spent several sabbatical years as a visiting scholar at the Institut des Hautes Études Scientifiques (IHES) and at the University of Bonn. After retirement, he was visiting lecturer at both of these places as well as at the Universities of Munich, Heidelberg, and Münster, the Tata Institute in Bombay, the Institute of Physics and Mathematics in Tehran, and the Max Planck Institute for Mathematics in Bonn. He was a regular attendee at the Arbeitstagungen in Bonn.
Professor Husemöller's five children Carl, Anna, Erich, Kurt, and Greta grew up on Haverford College Campus, and spent sabbatical years and subsequent summers with him at the Résidence de l'Ormaille at the IHES in France, and for another year at the Ernst-Moritz-Arndt Gymnasium in Bonn while he was at the University there. All five received their BAs at Haverford. Professor Husemöller has 10 grandchildren, Colette, Adrian, Ingrid, Paloma, Atena, Alexei, Annika, Jacob, Rose, and Mbali. He currently lives in western Massachusetts.
Bibliography
His books and some of his papers include:
Husemöller, Dale (1962). "Ramified Coverings of Riemann Surfaces," Duke Mathematical Journal, volume 29, pp. 167–79.
2nd Edition (Springer Verlag), 1975; 3rd Edition (Springer Verlag), 1993. Russian Edition Rassloenye Prostranstva (Moscow: Izd. Mir) 1970.
Husemöller, Dale with John Milnor (1974). Symmetric Bilinear Forms (Springer) Russian Edition Simmetricheskie bilineĭnye formy (Moscow: Navka), 1986.
Husemöller, Dale with J.C. Moore and James Stasheff (1974). "Differential Homological Algebra and Homogeneous Spaces," in Journal of Pure and Applied Algebra, vol 5, pp. 115-85.
Husemöller, Dale with Enrico Bombieri (1975). "Classification and Embeddings of Surfaces," in Proceedings of Symposia in Pure Mathematics, vol 29, pp. 320-420.
2nd Edition (Springer) 2004.
Husemöller, Dale with Pierre Deligne (1987). "Su |
https://en.wikipedia.org/wiki/Badrul%20Hisyam%20Morris | Mohd Badrul Hisyam bin Morris (born 6 July 1987) is a Malaysian footballer who plays for Harini in Malaysia M3 League as a midfielder.
Career statistics
Club
References
External links
1987 births
Living people
Malaysian men's footballers
Footballers from Terengganu
Terengganu F.C. II players
Felcra F.C. players
Malaysia Super League players
Malaysian people of Malay descent
Men's association football midfielders |
https://en.wikipedia.org/wiki/Ger%C3%B4nimo%20%28footballer%29 | Gerônimo dos Santos Oliveira (born July 1, 1989 in Riachão do Jacuípe), known as Gerônimo, is a Brazilian footballer who plays as a right back for J. Malucelli.
Career statistics
References
External links
1989 births
Living people
Brazilian men's footballers
Men's association football defenders
Club Athletico Paranaense players |
https://en.wikipedia.org/wiki/Silvio%20%28footballer%2C%20born%20April%201988%29 | Silvio Henderson Santos de Freitas (born April 10, 1988 in Aracajú), known as Silvio, is a Brazilian footballer who plays as defender or midfielder for Esporte Clube São Luiz.
Career statistics
References
External links
1988 births
Living people
Brazilian men's footballers
Men's association football midfielders
Paraná Clube players
Iraty Sport Club players
Londrina Esporte Clube players
Clube Atlético Bragantino players
Ipatinga Futebol Clube players
Esporte Clube São Luiz players
Campeonato Brasileiro Série D players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série B players |
https://en.wikipedia.org/wiki/Jhon%20Murillo%20%28Colombian%20footballer%29 | Jhon Wilson Murillo Córdoba (born November 6, 1990) is a Colombian footballer who plays as midfielder for Tigres.
Career statistics
References
External links
1990 births
Living people
Colombian men's footballers
Men's association football midfielders
América de Cali footballers
Londrina Esporte Clube players
Footballers from Antioquia Department |
https://en.wikipedia.org/wiki/Pohlke%27s%20theorem | Pohlke's theorem is the fundamental theorem of axonometry. It was established 1853 by the German painter and teacher of descriptive geometry Karl Wilhelm Pohlke. The first proof of the theorem was published 1864 by the German mathematician Hermann Amandus Schwarz, who was a student of Pohlke. Therefore the theorem is sometimes called theorem of Pohlke and Schwarz, too.
The theorem
Three arbitrary line sections in a plane originating at point , which are not contained in a line, can be considered as the parallel projection of three edges of a cube.
For a mapping of a unit cube, one has to apply an additional scaling either in the space or in the plane. Because a parallel projection and a scaling preserves ratios one can map an arbitrary point by the axonometric procedure below.
Pohlke's theorem can be stated in terms of linear algebra as:
Any affine mapping of the 3-dimensional space onto a plane can be considered as the composition of a similarity and a parallel projection.
Application to axonometry
Pohlke's theorem is the justification for the following easy procedure to construct a scaled parallel projection of a 3-dimensional object using coordinates,:
Choose the images of the coordinate axes, not contained in a line.
Choose for any coordinate axis forshortenings
The image of a point is determined by the three steps, starting at point :
go in -direction, then
go in -direction, then
go in -direction and
4. mark the point as .
In order to get undistorted pictures, one has to choose the images of the axes and the forshortenings carefully (see Axonometry). In order to get an orthographic projection only the images of the axes are free and the forshortenings are determined. (see :de:orthogonale Axonometrie).
Remarks on Schwarz's proof
Schwarz formulated and proved the more general statement:
The vertices of any quadrilateral can be considered as an oblique parallel projection of the vertices of a tetrahedron that is similar to a given tetrahedron.
and used a theorem of L’Huilier:
Every triangle can be considered as the orthographic projection of a triangle of a given shape.
Notes
References
K. Pohlke: Zehn Tafeln zur darstellenden Geometrie. Gaertner-Verlag, Berlin 1876 (Google Books.)
Schwarz, H. A.:Elementarer Beweis des Pohlkeschen Fundamentalsatzes der Axonometrie,J. reine angew. Math. 63, 309–314, 1864.
Arnold Emch: Proof of Pohlke's Theorem and Its Generalizations by Affinity, American Journal of Mathematics, Vol. 40, No. 4 (Oct., 1918), pp. 366–374
External links
F. Klein: The fundamental Theorem of Pohlke, in Elementary Mathematics from a Higher Standpoint: Volume II: Geometry, p. 97,
Christoph J. Scriba,Peter Schreiber: 5000 Years of Geometry: Mathematics in History and Culture, p. 398.
Pohlke–Schwarz theorem, Encyclopedia of Mathematics.
Graphical projections
Linear algebra |
https://en.wikipedia.org/wiki/Frank%20H.%20Berkshire | Frank H. Berkshire is a British mathematician, an expert on fluid dynamics, biomechanics, and the mathematics of gambling. He is also known as a coauthor of the textbook Classical Mechanics.
Education and career
Berkshire is an alumnus of St John's College, Cambridge.
He joined the faculty in the department of mathematics at Imperial College London in 1967.
There he became a senior lecturer, director of undergraduate studies since 1987, and teaching fellow in 1996.
In 2000, he won Imperial College's Rector's Medal for Outstanding Contribution to Teaching Excellence.
He retired in 2011 and remains principal teaching fellow in dynamics at Imperial.
Textbook
In 1997, Berkshire became a co-author on the 4th edition of Tom Kibble's textbook Classical Mechanics.
The fifth edition was published by the Imperial College Press in 2004.
References
Living people
Date of birth missing (living people)
Alumni of St John's College, Cambridge
Academics of Imperial College London
Fluid dynamicists
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Josa%20%28footballer%29 | Joseilson Batista dos Santos (born 24 September 1984), known as Josa, is a Brazilian footballer who plays for Castanhal as an midfielder
Career statistics
References
External links
Profile at Foradejogo.net
1984 births
Living people
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Ituano FC players
Figueirense FC players
Salgueiro Atlético Clube players
Clube Náutico Capibaribe players
Cuiabá Esporte Clube players
Esporte Clube Vitória players
Boa Esporte Clube players
Clube de Regatas Brasil players
Mogi Mirim Esporte Clube players
Esporte Clube Jacuipense players
Central Sport Club players
C.D. Santa Clara players
F.C. Paços de Ferreira players
Brazilian expatriate men's footballers
Expatriate men's footballers in Portugal |
https://en.wikipedia.org/wiki/Takhiyuddin%20Roslan | Ahmad Takhiyuddin bin Roslan (born 13 May 1993) is a Malaysian footballer who plays for Terengganu II as an attacking midfielder.
Career statistics
Club
References
External links
1993 births
Living people
Malaysian men's footballers
Terengganu F.C. II players
Footballers from Terengganu
Men's association football midfielders |
https://en.wikipedia.org/wiki/Guar%C3%BA | Rodrigo Neves de Freitas (born February 4, 1981), known as Guarú, is a Brazilian footballer who plays as midfielder.
Career statistics
References
External links
1981 births
Living people
Brazilian men's footballers
Men's association football midfielders
Esporte Clube São Bento players
Clube Atlético Penapolense players |
https://en.wikipedia.org/wiki/Willian%20Sim%C3%B5es | Willian Simões.(born March 6, 1988 in Cachoeiro de Itapemirim) is a Brazilian footballer who plays as left back.
Career statistics
References
External links
1988 births
Living people
Brazilian men's footballers
Men's association football defenders
Fortaleza Esporte Clube players
Paysandu Sport Club players
Clube Náutico Capibaribe players
People from Cachoeiro de Itapemirim
Footballers from Espírito Santo |
https://en.wikipedia.org/wiki/Dick%20%28footballer%29 | Luiz Henrique Almeida de Lima (born 13 February 1984), known as Dick, is a Brazilian footballer who plays for Portuguesa SP as a defender.
Career statistics
References
External links
1984 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Volta Redonda FC players
Nova Iguaçu FC players
Associação Atlética Portuguesa (Santos) players
Sertãozinho Futebol Clube players
Joinville Esporte Clube players
Coritiba Foot Ball Club players
Veranópolis Esporte Clube Recreativo e Cultural players
Esporte Clube Pelotas players
América Futebol Clube (RN) players
Rio Branco Sport Club players
Clube Náutico Marcílio Dias players
Associação Desportiva Cabofriense players
Sociedade Esportiva e Recreativa Caxias do Sul players
Ituano FC players
Clube Atlético Bragantino players
Paraná Clube players
União Recreativa dos Trabalhadores players
Centro Sportivo Alagoano players
Associação Portuguesa de Desportos players |
https://en.wikipedia.org/wiki/Constantine%20Gatsonis | Constantine Achilleos Gatsonis is a Greek-born biostatistician, currently the Henry Ledyard Goddard University Professor of Biostatistics, Chair of Biostatistics and Founding Director for the Center for Statistical Sciences at the Brown University School of Public Health. He is well known for his work with evaluation of diagnostic and screening tests.
Gatsonis is a Fellow of the American Statistical Association and AcademyHealth. He was also Founding Editor in Chief of Springer's Health Services and Outcomes Research Methodology.
Early life and education
Constantine A. Gatsonis was born in Velanidia, Kozani—a small village in Western Macedonia, Greece. During the final two years of secondary school, he attended Athens College in Athens on a scholarship. Gatsonis enrolled in Union College, attending for a year before transferring to Princeton University. He studied math at Princeton, graduating in 1976; Gatsonis enrolled at Cornell University for graduate studies, completing a doctorate in mathematical statistics in 1981.
Career
After graduating Gatsonis worked briefly at Rutgers University–New Brunswick, the University of Massachusetts Amherst, and Carnegie Mellon University. At Carnegie Mellon, he became interested in biostatistics; in 1988 he became an assistant professor at Harvard Medical School. At Harvard where Gatsonis was a founding member of the Department of Health Care Policy. In January 1995, Gatsonis moved to Brown University, where he founded the Center for Statistical Sciences. During this time, Gatsonis worked to develop a biostatistics program within the Alpert Medical School's Department of Community Health (later the School of Public Health). In 2011, Gatsonis became chair of Brown's Department of Biostatistics.
In 2003, he was the Spinoza Visiting Professor at University of Amsterdam.
Awards and honors
In 2019, Gastonis was named Mosteller Statistician of the Year by the Boston Chapter of the American Statistical Association (ASA)
Gatsonis received the 2018 Marvin Zelen Leadership Award in Statistical Science from the Harvard T.H. Chan School of Public Health.
References
Year of birth missing (living people)
Living people
Brown University faculty
Biostatisticians
American statisticians
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Brown%E2%80%93Gitler%20spectrum | In the mathematical discipline of topology, the Brown–Gitler spectrum is a spectrum whose cohomology is a certain cyclic module over the Steenrod algebra.
Brown–Gitler spectra are defined by the isomorphism:
History
The concept was introduced by mathematicians Edgar H. Brown and Samuel Gitler in a 1973 paper.
In topology, Brown–Gitler spectrum is related to the concepts of the Segal conjecture
(proven in 1984) and the Burnside ring.
Applications
Brown–Gitler spectra have had many important applications in homotopy theory.
References
External links
Topology |
https://en.wikipedia.org/wiki/Ashar%20Al%20Aafiz | Muhammad Ashar Al Aafiz bin Abdullah (born 28 March 1995) is a Malaysian professional footballer who plays as a centre-back for Sri Pahang.
Career statistics
Club
References
External links
Malaysian men's footballers
Sri Pahang FC players
Men's association football central defenders
Living people
1995 births
Footballers from Pahang |
https://en.wikipedia.org/wiki/Salamon%20Raj | Salamon Raj a/l Adaickalam (born 23 March 1994) is a Malaysian professional footballer who plays as a defensive midfielder for Petaling Jaya City.
Career statistics
Club
Honours
Sri Pahang
Malaysia FA Cup: 2018
References
External links
Malaysian men's footballers
Sri Pahang FC players
Petaling Jaya City FC players
1994 births
Living people
Men's association football midfielders
Footballers from Selangor
Malaysia Super League players
Malaysian people of Indian descent |
https://en.wikipedia.org/wiki/Josephine%20Chanler | Josephine Hughes Chanler (7 April 1906 – 23 December 1992) was an American mathematician specializing in algebraic geometry.
Early life and education
She was born in St. Louis, Missouri. She was the only child of Louisa Castle and James Chanler. Her parents separated soon after her birth, and she grew up with her mother, who lived in Bowling Green, Kentucky and worked as a schoolteacher. As a girl she became ill with polio, and had to undergo treatment for it at intervals later in her life. When she was a high school student, she and her mother moved to Jacksonville, Florida, but they moved back to Bowling Green so that Chanler could attend the Western Kentucky State Normal School and Teacher's College. She completed a degree there in 1927, and became a high school teacher.
In 1929, Chanler and her mother moved again, to Illinois, so that Chanler could begin graduate studies at the University of Illinois at Urbana–Champaign.
She earned a master's degree under the mentorship of Bessie Irving Miller, but Miller died soon afterward.
She completed her doctorate there in 1933. Her dissertation, Poristic Double Binary Forms, was supervised by Arthur Byron Coble.
Career
Despite an offer to move to a college in New England, Chanler remained at Illinois for the rest of her career. She retired as an associate professor in 1971.
Personal life
Chanler lived with her mother until her mother's death in 1948.
Chanler was a Democrat, a member of Toastmasters International, and a member of St. Mary's Catholic Church. She listed her religion in about 1940 as Presbyterian, but she described herself in a 1983 conversation as "a Southern Presbyterian–Calvinist–Catholic with leanings toward Judaism and Islam and a very high regard for Buddhism, Mormons, and some Hindu gods".
Chanler died in Urbana in 1992, having been in a health care facility for five years prior; she is buried there at Mount Hope Cemetery. She was remembered as "an excellent teacher and a person that everyone seemed to admire" by Annette Sinclair, who once took a summer course in classical algebraic geometry with Chanler.
References
1906 births
1992 deaths
20th-century American mathematicians
University of Illinois College of Liberal Arts and Sciences alumni
University of Illinois Urbana-Champaign faculty |
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