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https://en.wikipedia.org/wiki/J.%20D.%20Crawford%20Prize | The J. D. Crawford Prize is a biennial award presented by the Society for Industrial and Applied Mathematics (SIAM) for achievements in the field of dynamical systems. Established in 2001, the award honors John David Crawford (1954–1998), a professor at the University of Pittsburgh who made fundamental research contributions in the field.
Recipients
The recipients of the J. D. Crawford prize are:
Björn Sandstede (2001)
Yannís G. Kevrekidis (2003)
Dwight Barkley (2005)
Andrew M. Stuart (2007)
Arnd Scheel (2009)
Eric Vanden-Eijnden (2011)
Panayotis G. Kevrekidis (2013)
Florin Diacu (2015)
Martin Wechselberger (2017)
Margaret Beck (2019)
Igor Mezić (2021)
Victoria Booth (2023)
See also
List of mathematics awards
Prizes named after people
References
Awards of the Society for Industrial and Applied Mathematics
American science and technology awards |
https://en.wikipedia.org/wiki/Bj%C3%B6rn%20Sandstede | Björn Sandstede is a German applied mathematician. He is currently the Alumni-Alumnae University Professor of Applied Mathematics at Brown University, where he serves as chair of the department.
Sandstede earned his Dr. rer. nat. in 1993 from the University of Stuttgart, under the supervision of Bernold Fiedler.
In 2001 he was awarded the J.D. Crawford Prize of the Society for Industrial and Applied Mathematics for outstanding research in nonlinear science. In 2014 Sandstede was awarded the Jack K. Hale Award for his contributions to partial differential equations and the study of spiral waves in reaction diffusion systems.
References
External links
Home page
Year of birth missing (living people)
Living people
20th-century German mathematicians
21st-century American mathematicians
Brown University faculty |
https://en.wikipedia.org/wiki/Dwight%20Barkley | Dwight Barkley (born 7 January 1959) is a professor of mathematics at the University of Warwick.
Education and career
Barkley obtained his PhD in physics from the University of Texas at Austin in 1988.
He then spent one year at Caltech working with Philip Saffman followed by three years at Princeton University where he worked with Yannís Keverkidis and Steven Orszag. In 1992 he was awarded both NSF and NATO postdoctoral fellowships. In 1994 he joined the faculty at the University of Warwick.
Research
Barkley studies waves in excitable media such as the Belousov–Zhabotinsky reaction, heart tissue, and neurons. He is the author of the Barkley Model of excitable media
and discoverer of the role of Euclidean symmetry in spiral-wave dynamics.
In 1997, Laurette Tuckerman and Dwight Barkley coined the term "bifurcation analysis for time steppers" for techniques involving the modification of time-stepping computer codes to perform the tasks of bifurcation analysis. He has applied this approach in several areas of fluid dynamics, in particular to stability analysis of the cylinder wake and of the backward-facing step.
Barkley also works on the transition to turbulence in shear flows, including the formation of turbulent-laminar bands and the critical point for pipe flow. Exploiting an analogy with the transition between excitable and bistable media, Barkley derived a model for pipe flow which captures most features of transition to turbulence, in particular the behavior of turbulent regions called puffs and slugs.
He is also known for deriving an equation to estimate how long it will be until a child in a car asks the question "are we there yet?"
Awards
In 2005 he was awarded the J. D. Crawford Prize for outstanding research in nonlinear science, "for his development of high quality, robust and efficient numerical algorithms for pattern formation phenomena in spatially extended dynamical systems".
In 2008 he was elected Fellow of the American Physical Society "for combining computation and dynamical systems analyses to obtain remarkable insights into hydrodynamic instabilities and patterns in diverse systems, including flow past a cylinder, channel flow, laminar-turbulent bands, and thermal convection."
That same year he was also elected fellow of the Institute of Mathematics and Its Applications.
In 2009-2010 he was a Royal Society–Leverhulme Trust Senior Research Fellow.
In 2016 he was elected Fellow of the Society for Industrial and Applied Mathematics "For innovative combinations of analysis and computation to obtain fundamental insights into complex dynamics of spatially extended systems."
Selected publications
.
.
.
.
.
References
External links
Google scholar profile
Living people
Academics of the University of Warwick
British mathematicians
Dynamical systems theorists
1959 births
Fluid dynamicists
Fellows of the American Physical Society |
https://en.wikipedia.org/wiki/Arnd%20Scheel | Arnd Scheel is a professor with the School of Mathematics at the University of Minnesota. Scheel earned his Ph.D. in
1994 from the Freie Universität Berlin under the supervision of Bernold Fiedler. In 2009 he was
awarded the J.D. Crawford Prize of the Society for Industrial and Applied Mathematics for outstanding research in nonlinear science.
Education
Scheel attended the University of Heidelberg 1987-1990 and graduated with a DEA from the Institut Nonlineaire de Nice in 1991. After graduate studies in Stuttgart and Berlin, he received his PhD from the FU Berlin in 1994. He was an assistant professor at FU Berlin until 2001, when he received his Habilitation. Since 2001 he has worked in the School of Mathematics at the University of Minnesota.
Research
Scheel's research is concerned with patterns and waves in spatially extended dynamical systems. His results include existence, stability, and bifurcation results for coherent structures such as wave trains, invasion fronts, pattern forming fronts, defects in oscillatory media, spiral waves, or defects in striped phases such as grain boundaries and dislocations.
References
External links
Home page
Google scholar profile
Living people
20th-century German mathematicians
21st-century American mathematicians
University of Minnesota faculty
1966 births |
https://en.wikipedia.org/wiki/Eric%20Vanden-Eijnden | Eric Vanden-Eijnden is a professor of mathematics at the Courant Institute of Mathematical Sciences, New York University. Vanden-Eijnden earned his doctorate in 1997 from the Université libre de Bruxelles under the supervision of Radu Bălescu. In 2009 he was awarded the Germund Dahlquist Prize of the Society for Industrial and Applied Mathematics "for his work in developing mathematical tools and numerical methods for the analysis of dynamical systems that are both stochastic and multiscale", and in 2011 he won SIAM's J.D. Crawford Prize
for outstanding research in nonlinear science.
References
External links
Home page
Google scholar profile
Living people
Belgian mathematicians
21st-century American mathematicians
Courant Institute of Mathematical Sciences faculty
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Panayotis%20G.%20Kevrekidis | Panayotis G. Kevrekidis is a professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst. Kevrekidis earned his B.Sc. in physics in 1996 from the University of Athens. He obtained his M.S. in 1998 and Ph.D. in 2000 from Rutgers University, the latter under the joint supervision of Joel Lebowitz and Panos G. Georgopoulos. His thesis was entitled “Lattice Dynamics of Solitary Wave Excitations”. He then assumed a post-doctoral position split between the Program in Applied and Computational Mathematics of Princeton University (10/2000–02/2001) and the Theoretical Division and the Center for Nonlinear Studies of Los Alamos National Laboratory (03/2001–08/2001). From 09/2001, he joined the Department of Mathematics and Statistics of the University of Massachusetts Amherst as an assistant professor. He was awarded tenure and promotion to associate professor in 06/2005. As of 09/2010, he is a full professor at the same institution. He is presently the Stanislaw M. Ulam Scholar at the Center for Nonlinear Studies at Los Alamos National Laboratory.
Awards
Kevrekidis has received numerous awards and distinctions. These include a CAREER award in Applied Mathematics from the U.S. National Science Foundation (in 2003), a Humboldt Research Fellowship from the Humboldt Foundation, an Outstanding Paper Prize from the Society for Industrial and Applied Mathematics (SIAM), and the 2008 Stefanos Pnevmatikos International Award for research in nonlinear phenomena. In 2013 he was awarded the J.D. Crawford Prize of the Society for Industrial and Applied Mathematics for outstanding research in nonlinear science. and the A.F. Pallas award from the Academy of Athens. In 2014 he was elected a Fellow of the American Physical Society. He was elected as a fellow of the Society for Industrial and Applied Mathematics in 2017, "for fundamental contributions to the existence, stability, and dynamics of nonlinear waves with applications to atomic, optical, and materials physics".
He was elected as a Fellow of the American Mathematical Society in the 2020 Class, for "contributions in applied mathematics, especially in the theory and applications of nonlinear waves".
Research
His research has been supported by numerous sources such as the NSF, the US Air Force, the European Research Council, and numerous private Foundations (Alexander von Humboldt, Alexander S. Onassis Public Benefit Foundation, and US–Israel Binational Science Foundation). Kevrekidis's interests are centered around the nonlinear dynamics of solitary waves in nonlinear partial differential equations and in lattice nonlinear differential difference equations and the properties (existence, stability, dynamics) of such waves. A focal point of this work concerns the applications of such tools and techniques to systems from physics (especially nonlinear optics and atomic physics), and materials science, biology and chemistry. He has published over 450 research papers in a wid |
https://en.wikipedia.org/wiki/Carlos%20Gustavo%20Moreira | Carlos Gustavo Tamm de Araújo Moreira (born 8 February 1973) is a Brazilian mathematician working on dynamical systems, ergodic theory, number theory and combinatorics. Moreira is currently a researcher at the Instituto Nacional de Matemática Pura e Aplicada (IMPA), where he goes by the nickname "Gugu". He is also a member of the Brazilian Mathematical Olympiad Commission, a fanatic fan of the Brazilian football team Flamengo and a member of the Brazilian Communist Party (PCB). In October 2016, he achieved the mark of 5000 goals scored in his amateur football career. He maintains a record of his goals to show to the incredulous.
Moreira obtained his Ph.D. from IMPA under the supervision of Jacob Palis in 1993, at the age of 20. He is a member of the Brazilian Academy of Sciences since 2008. In 2009 he was awarded the UMALCA Award for his contributions to mathematics.
Moreira is the recipient of the TWAS Prize in Mathematics in 2010. He was an invited speaker at the International Congress of Mathematicians of 2014 in Seoul, South Korea, and a plenary speaker at the 2018 International Congress of Mathematicians in Rio de Janeiro, Brazil.
Selected publications
C. G. T. de A. Moreira and Jean-Christophe Yoccoz, "Stable intersections of regular Cantor sets with large Hausdorff dimensions," Annals of Mathematics 154 (1), 45−96 (2001). https://doi.org/10.2307/3062110
C. G. Moreira and Artur Avila, "Statistical properties of unimodal maps: the quadratic family," Annals of Mathematics 161 (2), 831−881 (2005). https://doi.org/10.4007/annals.2005.161.831
N. Alon, Y. Kohayakawa, C. Mauduit, C. G. Moreira, and V. Rödl, "Measures of pseudorandomness for finite sequences: typical values," Proceedings of the London Mathematical Society 95 (3), 778−812 (2007) https://doi.org/10.1112/plms/pdm027
C. G. Moreira, "Geometric properties of the Markov and Lagrange spectra," Annals of Mathematics 188 (1), 145−170 (2018). https://doi.org/10.4007/annals.2018.188.1.3
References
1973 births
Members of the Brazilian Academy of Sciences
Living people
Instituto Nacional de Matemática Pura e Aplicada alumni
Instituto Nacional de Matemática Pura e Aplicada researchers
21st-century Brazilian mathematicians
TWAS laureates
Brazilian communists |
https://en.wikipedia.org/wiki/Graphical%20lasso | In statistics, the graphical lasso is a sparse penalized maximum likelihood estimator for the concentration or precision matrix (inverse of covariance matrix) of a multivariate elliptical distribution. The original variant was formulated to solve Dempster's covariance selection problem for the multivariate Gaussian distribution when observations were limited. Subsequently, the optimization algorithms to solve this problem were improved and extended to other types of estimators and distributions.
Setting
Consider observations from multivariate Gaussian distribution . We are interested in estimating the precision matrix .
The graphical lasso estimator is the such that:
where is the sample covariance, and is the penalizing parameter.
Application
To obtain the estimator in programs, users could use the R package glasso, GraphicalLasso() class in the scikit-learn Python library, or the skggm Python package (similar to scikit-learn).
See also
Graphical model
Lasso (statistics)
References
Normal distribution
Graphical models
Markov networks |
https://en.wikipedia.org/wiki/Serhiy%20Shapoval | Serhiy Volodymyrovych Shapoval (; born 7 February 1990) is a Ukrainian professional footballer who plays as a midfielder.
Career statistics
Club
Total matches played in Moldavian First League: 86 matches - 11 goals'
Honours
FC Tiraspol
Moldovan Cup: 2012–13
Lee Man
Hong Kong Sapling Cup: 2018–19
External links
1990 births
Living people
Ukrainian men's footballers
Ukrainian expatriate men's footballers
Expatriate men's footballers in Moldova
Expatriate men's footballers in Poland
Expatriate men's footballers in Belarus
Expatriate men's footballers in Hong Kong
Expatriate men's footballers in Iceland
Ukrainian expatriate sportspeople in Moldova
Ukrainian expatriate sportspeople in Poland
Ukrainian expatriate sportspeople in Hong Kong
Ukrainian expatriate sportspeople in Belarus
Ukrainian expatriate sportspeople in Iceland
Ukrainian Premier League players
Ukrainian First League players
Ukrainian Second League players
Hong Kong Premier League players
Belarusian Premier League players
Moldovan Super Liga players
Men's association football midfielders
FC Nafkom Brovary players
FC Nyva Ternopil players
FC Feniks-Illichovets Kalinine players
FC Lviv players
FC Tiraspol players
FC Chornomorets Odesa players
FC Torpedo-BelAZ Zhodino players
FC Gomel players
Lee Man FC players
FC Dynamo Brest players
FC Peremoha Dnipro players
Dalvík/Reynir players
Footballers from Kyiv Oblast |
https://en.wikipedia.org/wiki/Networks%20and%20Heterogeneous%20Media | Networks and Heterogeneous Media is a peer-reviewed academic journal published quarterly by the American Institute of Mathematics and sponsored by the Istituto per le applicazioni del calcolo. The journal was established in 2006 and focuses on networks, heterogeneous media, and related fields. The editor-in-chief is Benedetto Piccoli (Rutgers University).
Abstracting and indexing
The journal is abstracted and indexed in Zentralblatt MATH, MathSciNet, Scopus, Current Contents/Physical, Chemical & Earth Sciences, and Science Citation Index Expanded. According to the Journal Citation Reports, the journal has a 2013 impact factor of 0.952.
References
External links
Mathematics journals
Academic journals established in 2006
Quarterly journals
English-language journals
Academic journals published by learned and professional societies |
https://en.wikipedia.org/wiki/Differential%20graded%20module | In algebra, a differential graded module, or dg-module, is a -graded module together with a differential; i.e., a square-zero graded endomorphism of the module of degree 1 or −1, depending on the convention. In other words, it is a chain complex having a structure of a module, while a differential graded algebra is a chain complex with a structure of an algebra.
In view of the module-variant of Dold–Kan correspondence, the notion of an -graded dg-module is equivalent to that of a simplicial module; "equivalent" in the categorical sense; see below.
The Dold–Kan correspondence
Given a commutative ring R, by definition, the category of simplicial modules are simplicial objects in the category of R-modules; denoted by sModR. Then sModR can be identified with the category of differential graded modules which vanish in negative degrees via the Dold-Kan correspondence.
See also
Differential graded Lie algebra
References
Henri Cartan, Samuel Eilenberg, Homological algebra
Available online.
Algebra |
https://en.wikipedia.org/wiki/Quillen%20spectral%20sequence | In the area of mathematics known as K-theory, the Quillen spectral sequence, also called the Brown–Gersten–Quillen or BGQ spectral sequence (named after Kenneth Brown,
Stephen Gersten, and Daniel Quillen), is a spectral sequence converging to the sheaf cohomology of a type of topological space that occurs in algebraic geometry. It is used in calculating the homotopy properties of a simplicial group.
References
External links
A spectral sequence of Quillen at the Stacks Project
Algebraic K-theory |
https://en.wikipedia.org/wiki/A%20history%20of%20mathematics | A history of mathematics may refer to:
A history of mathematics (Cajori), a book by Florian Cajori in 1893
A history of mathematics (Boyer), a book by Carl Benjamin Boyer in 1968 |
https://en.wikipedia.org/wiki/Yoneda%20product | In algebra, the Yoneda product (named after Nobuo Yoneda) is the pairing between Ext groups of modules:
induced by
Specifically, for an element , thought of as an extension
and similarly
we form the Yoneda (cup) product
Note that the middle map factors through the given maps to .
We extend this definition to include using the usual functoriality of the groups.
Applications
Ext Algebras
Given a commutative ring and a module , the Yoneda product defines a product structure on the groups , where is generally a non-commutative ring. This can be generalized to the case of sheaves of modules over a ringed space, or ringed topos.
Grothendieck duality
In Grothendieck's duality theory of coherent sheaves on a projective scheme of pure dimension over an algebraically closed field , there is a pairing where is the dualizing complex and given by the Yoneda pairing.
Deformation theory
The Yoneda product is useful for understanding the obstructions to a deformation of maps of ringed topoi. For example, given a composition of ringed topoi and an -extension of by an -module , there is an obstruction class which can be described as the yoneda product
where
and corresponds to the cotangent complex.
See also
Ext functor
Derived category
Deformation theory
Kodaira–Spencer map
References
External links
Universality of Ext functor using Yoneda extensions
Abstract algebra |
https://en.wikipedia.org/wiki/NorthPort%20Batang%20Pier%20all-time%20roster | The following is a list of players, both past and current, who appeared at least in one game for the NorthPort Batang Pier PBA franchise. Statistics are accurate as of the 2023 PBA Governors' Cup.
Players
|-
| align=left| || align=left| || G/F || align=left| || 1 || || 10 || 105 || 40 || 17 || 0 ||
|-
| align=left| || align=left| || G/F || align=left| || 1 || || 16 || 249 || 64 || 40 || 6 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 3 || 6 || 1 || 3 || 0 ||
|-
| align=left| || align=left| || G/F || align=left| || 1 || || 3 || 20 || 4 || 2 || 0 ||
|-
| align=left| || align=left| || C || align=left| || 1 || || 14 || 114 || 19 || 25 || 3 ||
|-
| align=left| || align=left| || F/C || align=left| || 1 || || 14 || 393 || 148 || 94 || 18 ||
|-
| align=left| || align=left| || C || align=left| || 1 || || 13 || 269 || 107 || 54 || 17 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 7 || 87 || 19 || 18 || 3 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 7 || 74 || 7 || 16 || 1 ||
|-
| align=left bgcolor="#FFCC00"|+ || align=left| || F || align=left| || 1 || || 6 || 228 || 113 || 81 || 13 ||
|-
| align=left| || align=left| || F || align=left| || 4 || – || 94 || 2,986 || 1,439 || 757 || 337 ||
|-
| align=left| || align=left| || G/F || align=left| || 1 || || 17 || 208 || 62 || 35 || 15 ||
|-
| align=left| || align=left| || G || align=left| || 3 || – || 50 || 568 || 156 || 113 || 47 ||
|-
| align=left bgcolor="#FFCC00"|+ || align=left| || G || align=left| || 1 || || 8 || 378 || 237 || 71 || 46 ||
|-
| align=left | || align=left| || F || align=left| || 1 || || 5 || 19 || 2 || 3 || 0 ||
|-
| align=left bgcolor="#CFECEC"|^ || align=left| || G || align=left| || 1 || –present || 29 || 299 || 97 || 43 || 23 ||
|-
| align=left| || align=left| || F/C || align=left| || 1 || || 16 || 220 || 32 || 51 || 3 ||
|-
| align=left bgcolor="#CFECEC"|^ || align=left| || F/C || align=left| || 1 || –present || 10 || 76 || 13 || 12 || 2 ||
|-
| align=left| || align=left| || G || align=left| || 2 || – || 50 || 862 || 279 || 99 || 81 ||
|-
| align=left| || align=left| || F || align=left| || 2 || – || 4 || 39 || 8 || 3 || 0 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 8 || 168 || 62 || 16 || 11 ||
|-
| align=left bgcolor="#CFECEC"|^ || align=left| || G || align=left| || 3 || –present || 83 || 2,112 || 1,445 || 458 || 512 ||
|-
| align=left bgcolor="#FFCC00"|+ || align=left| || F || align=left| || 1 || || 9 || 381 || 242 || 168 || 22 ||
|-
| align=left| || align=left| || G || align=left| || 2 || || 40 || 718 || 266 || 91 || 30 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 3 || 10 || 1 || 1 || 30 ||
|-
| align=left| || align=left| || G || align=left| || 1 || || 18 || 675 || 247 || 79 || 129 ||
|-
| align=left| || align=left| || F || align=left| || 1 || || 3 || 14 || 3 || 1 || 0 ||
|-
| align=left bgcolor="#CFECEC"|^ || align=left| || C || align |
https://en.wikipedia.org/wiki/Sorin%20Popa | Sorin Teodor Popa (born 24 March 1953) is a Romanian American mathematician working on operator algebras. He is a professor at the University of California, Los Angeles.
Biography
Popa earned his PhD from the University of Bucharest in 1983 under the supervision of Dan-Virgil Voiculescu, with thesis Studiul unor clase de subalgebre ale -algebrelor. He has advised 15 doctoral students at UCLA, including Adrian Ioana.
Honors and awards
In 1990, Popa was an invited speaker at the International Congress of Mathematicians (ICM) in Kyoto, where he gave a talk on "Subfactors and Classifications in von Neumann algebras". He was a Guggenheim Fellow in 1995. In 2006, he gave a plenary lecture at the ICM in Madrid on "Deformation and Rigidity for group actions and Von Neumann Algebras". In 2009, he was awarded the Ostrowski Prize, and in 2010 the E. H. Moore Prize. He is one of the inaugural fellows of the American Mathematical Society. In 2013, he was elected to the American Academy of Arts and Sciences.
Selected publications
References
External links
Homepage of Sorin Popa at the University of California, Los Angeles
UCLA – Sorin Popa elected into the American Academy of Arts and Sciences
1953 births
Living people
Scientists from Bucharest
University of Bucharest alumni
University of California, Los Angeles faculty
Romanian emigrants to the United States
20th-century Romanian mathematicians
21st-century Romanian mathematicians
20th-century American mathematicians
21st-century American mathematicians
Algebraists
Fellows of the American Mathematical Society
Fellows of the American Academy of Arts and Sciences |
https://en.wikipedia.org/wiki/Yoshiharu%20Kohayakawa | Yoshiharu Kohayakawa (Japanese: 小早川美晴; born 1963) is a Japanese-Brazilian mathematician working on discrete mathematics and probability theory. He is known for his work on Szemerédi's regularity lemma, which he extended to sparser graphs.
Biography
Kohayakawa was a student of Béla Bollobás at the University of Cambridge.
According to Google Scholar, as of August 21, 2019, Kohayakawa's works have been cited over 3194 times, and his h-index is 33.
He is a titular member of the Brazilian Academy of Sciences.
In 2000, five American researchers received a USA NSF Research Grant in the value of $20,000 to go to Brazil to work in collaboration with him on mathematical problems.
Kohayakawa has an Erdős number of 1.
He was awarded the 2018 Fulkerson Prize.
References
External links
Home Page of Yoshiharu Kohayakawa at the University of São Paulo
1963 births
Living people
20th-century Brazilian mathematicians
21st-century Brazilian mathematicians
Members of the Brazilian Academy of Sciences
Graph theorists
Alumni of the University of Cambridge
Academic staff of the University of São Paulo
Expatriate academics in Brazil
Brazilian people of Japanese descent |
https://en.wikipedia.org/wiki/Lusternik%E2%80%93Schnirelmann%20theorem | In mathematics, the Lusternik–Schnirelmann theorem, aka Lusternik–Schnirelmann–Borsuk theorem or LSB theorem, says as follows.
If the sphere Sn is covered by n + 1 closed sets, then one of these sets contains a pair (x, −x) of antipodal points.
It is named after Lazar Lyusternik and Lev Schnirelmann, who published it in 1930.
Equivalent results
References |
https://en.wikipedia.org/wiki/Michael%20Weiss%20%28mathematician%29 | Michael Weiss (born 14 December 1955) is a German mathematician and an expert in algebraic and geometric topology. He is a professor at the University of Münster.
Life
He completed his PhD in 1982 at the University of Warwick under the supervision of Brian Sanderson. He was then affiliated as a researcher with the Institute of Advanced Scientific Studies near Paris and the universities of Bielefeld, Edinburgh, and Göttingen. In 1999, he joined the faculty of Aberdeen University where he stayed until 2011, when he was awarded a Alexander von Humboldt Professorship at the University of Münster.
Academic Work
His research is on algebraic topology and differential topology. In work with Ib Madsen, he resolved the Mumford Conjecture about rational characteristic classes of surface bundles in the limit as the genus tends to infinity. Building on earlier work of Thomas Goodwillie, he developed Embedding Calculus, a Calculus of functors for embeddings of manifolds.
Recognition
In 2006, he was awarded the Fröhlich Prize of the London Mathematical Society.
Publications
References
External links
Website at the University of Münster
1955 births
Living people
Topologists
20th-century German mathematicians
21st-century German mathematicians
Academic staff of the University of Münster
Alumni of the University of Warwick
Place of birth missing (living people) |
https://en.wikipedia.org/wiki/Damjan%20Gojkov | Damjan Gojkov (; born 2 January 1998) is a Serbian footballer, who plays as a midfielder for OFK Žarkovo.
Career statistics
References
External links
Damjan Gojkov stats at Utakmica.rs
Damjan Gojkov at Serbian First League
1998 births
Living people
Sportspeople from Vrbas
Footballers from South Bačka District
Men's association football midfielders
Serbian men's footballers
OFK Beograd players
FK Bežanija players
Red Star Belgrade footballers
FK Vojvodina players
FK Spartak Subotica players
OFK Žarkovo players
Serbian First League players
Serbian SuperLiga players |
https://en.wikipedia.org/wiki/Mapping%20spectrum | In algebraic topology, the mapping spectrum of spectra X, Y is characterized by
References
Algebraic topology |
https://en.wikipedia.org/wiki/Ewan%20Clague | Ewan Clague (1896–1987) was the commissioner of the U.S. Bureau of Labor Statistics (BLS) from 1946 to 1965.
In 1952 he was elected as a Fellow of the American Statistical Association.
Education
Clague graduated from the University of Washington and earned a doctorate from the University of Wisconsin.
References
1896 births
1987 deaths
American civil servants
Bureau of Labor Statistics
Fellows of the American Statistical Association
University of Washington alumni
University of Wisconsin–Madison alumni
Truman administration personnel
Eisenhower administration personnel
Kennedy administration personnel
Lyndon B. Johnson administration personnel |
https://en.wikipedia.org/wiki/Aiazo | San Pedro de Aiazo or simply Aiazo () is a village in the south of the municipality of Frades, in Galicia. According to the National Institute of Statistics of Spain (INE), in 2022 it had 152 inhabitants (86 men and 66 women) in three principal neighborhoods (Fontelo, Fonsá and A Devesa).
Geography
Aiazo is placed in the south-west of the municipality of Frades (Ordes' shire), 30 km driving from Santiago de Compostela and 50 km driving from Coruña. By the south, Aiazo borders with the Arzúa's shire, by the Tambre river; by the north and the east it borders with the rest of Frades, and by the west with the municipality of Oroso. The relief, characterized by the Maruzo river (in the north) and Tambre river (in the south), over a geological area determined by the schist complex of Ordes, forms a landscape with soft hills.
In Aiazo there are agrarian lands and forests around the populated areas. The forests are mostly of eucalyptus and pines in plantations, and Galician typical oak forest, with oaks, birchs, alders, willows, etc. Another frequent kind of forest in Aiazo is the riverbank forest near the Tambre, Gaiteiro, and Maruzo rivers. Maruzo's riverbank is part of the Río Tambre's ecological network Natura 2000, this protection will be increased in the future to the Tambre's riverbank.
In the beginning, Aiazo's population was concentrated in the three principal neighborhoods, born around an aquifer. Historically Fontelo, Fonsá and A Devesa were the most important villages, the three with similar characteristics of terraced houses. To complement the three first settlements, country houses appeared, like Os Pereiros, in A Devesa, or O Casal, in Fontelo, and new settlements grew, like A Torre or A Carballeira. In the late 20th century, many isolated houses appeared, some of them following a ribbon development in the way between Ponte Carreira and Ordes, and other around the primary neighborhoods.
Population ageing is a phenomenon occurring in Aiazo, although in the last years tendency is to receiving immigrants, especially because of the 2008 crisis.
Climate
The climate in Aiazo is oceanic, with frequent rain and soft temperatures, ca. 12 °C annual average. Winters are not very cold, but rainy. Nightly frosts are common, and the snow appears once a year, approximately. Summers are relative dry and warm.
Demographics
Aiazo has the following neighborhoods :
Fontelo. Around an old and sinuous lane, many old big houses form this neighborhood.
A Igrexa. Born around the Saint Peter's Church (igrexa de San Pedro, in Galician), six houses form this place. Aiazo's principal square is located just there, and on it, the neighbors celebrate some events.
A Devesa. It is formed by many old houses, some of them restored.
Fonsá. Old and new houses coexist here. There is a country mansion here, and a new residential area, too.
A Carballeira. Is a residential area in the north of Fontelo.
Galtar. Formed by four houses in Ghaltar Lane.
Estrada. Is the area where |
https://en.wikipedia.org/wiki/%C3%89tienne%20Fouvry | Étienne Fouvry is a French mathematician working primarily in analytic number theory.
In 1985, Fouvry showed that the first case of Fermat's Last Theorem is true for infinitely many primes.
References
External links
Videos of Étienne Fouvry in the AV-Portal of the German National Library of Science and Technology
French mathematicians
Academic staff of Paris-Sud University
Living people
Number theorists
École Normale Supérieure alumni
1953 births |
https://en.wikipedia.org/wiki/Marcos%20Dajczer | Marcos Dajczer (born 19 November 1948, in Buenos Aires) is an Argentine-born Brazilian mathematician whose research concerns geometry and topology.
Dajczer obtained his Ph.D. from the Instituto Nacional de Matemática Pura e Aplicada in 1980 under the supervision of Manfredo do Carmo.
In 2006, he received Brazil's National Order of Scientific Merit honour for his work in mathematics. He was a Guggenheim Fellow in 1985.
Do Carmo–Dajczer theorem is named after his teacher and him.
Selected publications
do Carmo, M. ; Dajczer, M. (1983) . "Rotation hypersurfaces in spaces of constant curvature", Transactions of the American Mathematical Society, Volume 277, Number 2, pp. 685–709.
do Carmo, M. ; Dajczer, M. (1982) . "Helicoidal surfaces with constant mean curvature", Tohoku Mathematical Journal Second Series, Volume 34, Number 3, pp. 425–435.
Submanifolds and Isometric Immersions (1990, Mathematics Lecture Series)
References
External links
1948 births
Brazilian mathematicians
People from Buenos Aires
Differential geometers
Topologists
Living people
Instituto Nacional de Matemática Pura e Aplicada alumni
Instituto Nacional de Matemática Pura e Aplicada researchers |
https://en.wikipedia.org/wiki/Clifford%20Clogg | Clifford Collier Clogg (October 16, 1949 – May 7, 1995) was an American sociologist, demographer, and statistician. He is best known for his contributions to population statistics, categorical data analysis, and latent class analysis.
Biography
Clogg was born in 1949 in Oberlin, Ohio. He earned a B.A. in sociology in 1971 from Ohio University, and continued his studies at the University of Chicago, where he earned an M.A. in sociology and an M.Sc. in statistics in 1974, and a Ph.D. in sociology in 1977. Starting in 1976 he served at the Pennsylvania State University faculty, rising to the rank of Distinguished Professor of Sociology and Professor of Statistics.
He served as an editor of several journals, including the Journal of the American Statistical Association, Demography, Sociological Methodology, and the Journal of Educational and Behavioral Statistics.
The Clifford C. Clogg Award of the Population Association of America, the Clifford Clogg Award of the Methodology Section of the American Sociological Association, and the Clifford C. Clogg Scholarship of the Inter-university Consortium for Political and Social Research are named in his honor.
Selected publications
Clogg, Clifford C. "Latent class models." Handbook of statistical modeling for the social and behavioral sciences. Springer US, 1995. 311-359.
Clogg, Clifford C., Eva Petkova, and Adamantios Haritou. "Statistical methods for comparing regression coefficients between models." American Journal of Sociology (1995): 1261-1293.
Clogg, Clifford C., and Leo A. Goodman. "Latent structure analysis of a set of multidimensional contingency tables." Journal of the American Statistical Association 79.388 (1984): 762-771.
Clogg, Clifford C. "Some models for the analysis of association in multiway cross-classifications having ordered categories." Journal of the American Statistical Association 77.380 (1982): 803-815.
Clogg, Clifford C., and Scott R. Eliason. "Some common problems in log-linear analysis." Sociological Methods & Research 16.1 (1987): 8-44.
Clogg, Clifford C. "Latent structure models of mobility." American Journal of Sociology (1981): 836-868.
Clogg, Clifford C. "Using association models in sociological research: Some examples." American Journal of Sociology (1982): 114-134.
References
External links
American sociologists
Ohio University alumni
American statisticians
American demographers
University of Chicago alumni
Pennsylvania State University faculty
1949 births
1995 deaths |
https://en.wikipedia.org/wiki/Guillermo%20Vilas%20career%20statistics | These are the main career statistics of former Argentine professional tennis player Guillermo Vilas, whose playing career lasted from 1969 through 1992.
ATP Tour performance timeline
Grand Slam tournaments finals
Singles: 8 (4 titles, 4 runner-ups)
Grand Prix year-end championships finals
Singles: 1 (1 title)
WCT year-end championship finals
Singles: 1 (1 runner-up)
Career finals
Grand Prix/WCT Singles titles (62)
Grand Prix/WCT Singles runners-ups (42)
ILTF Singles titles (6)
ILTF Doubles titles (16)
1973 (1) – Buenos Aires
1974 (4) – Buenos Aires, Tehran, Toronto, Hilversum
1975 (3) – Barcelona, Louisville, Hilversum
1977 (4) – Buenos Aires, Tehran, Nice, Baltimore
1978 (2) – Aix-En-Provence, Munich
1979 (2) – North Conway, San Jose (Costa Rica)
Records
These records were attained in Open Era of tennis.
^ Denotes consecutive streak.
Notes
References
External links
Vilas, Guillermo |
https://en.wikipedia.org/wiki/Alicia%20Dickenstein | Alicia Dickenstein (born 17 January 1955, in Buenos Aires) is an Argentine mathematician known for her work on algebraic geometry, particularly toric geometry, tropical geometry, and their applications to biological systems. She is a full professor at the University of Buenos Aires, a 2019 Fellow of the American Mathematical Society, a former vice-president of the International Mathematical Union (2015–2018), and a 2015 recipient of The World Academy of Sciences prize.
Research
Dickenstein is editor-in-chief of the journal Revista de la Unión Matemática Argentina. She is also a corresponding editor for the SIAM Journal on Applied Algebra and Geometry.
In 2009–2010, Dickenstein was an Eisenbud professor at MSRI, and in 2012–2013, she was a Simons professor at MSRI. In 2016, Dickenstein was a Knut and Alice Wallenbergs Professor at KTH.
Her research focuses on using Algebraic geometry and combinatorics to predict behaviours of Biological systems without knowing precise parameters. In joint work with Mercedes Pérez Millán, she created a system called The MESSI System (named after the footballer, Lionel Messi) which stands for Modifications of the type-Enzyme-Substrate or Swap with Intermediates. This allows researchers to prove general results valid in certain networks.
Education
Dickenstein obtained her Ph.D. from the Universidad de Buenos Aires in 1982 under Miguel E. M. Herrera.
Honors
In 2015, Dickenstein received the TWAS Prize from The World Academy of Sciences for the advancement of science in developing countries.
In 2018, Dickenstein was elected as a Fellow of the American Mathematical Society for "contributions to computational algebra and its applications, especially in systems biology, and for global leadership in supporting underrepresented groups in mathematics." That year, she was also named a Full Member of the National Academy of Exact, Physical and Natural Sciences of Argentina.
In 2020 she was named a SIAM Fellow "for contributions to algebraic geometry and its applications within geometric modeling and in the study of biochemical reaction networks".
In 2021, Dickenstein received the L’Oréal-UNESCO For Women in Science International Award for the Latin America and Caribbean region. She was "recognized for her outstanding contributions at the forefront of mathematical innovation by leveraging algebraic geometry in the field of molecular biology. Her research enables scientists to understand the structures and behavior of cells and molecules, even on a microscopic scale. Operating at the frontier between pure and applied mathematics, she has forged important links to physics and chemistry and enabled biologists to gain an in-depth structural understanding of biochemical reactions and enzymatic networks."
In 2023 she was granted the Platinum Konex Award for her work in Mathematics in the last decade.
Leadership
In 2021, Dickensen joined the SIAM Council as a Member-at-Large.
Children's books
Dickenstein has produc |
https://en.wikipedia.org/wiki/National%20Institute%20of%20Statistics%20and%20Census%20of%20Panama | The National Statistics and Census Institute (, INEC) is the Panamanian government agency responsible for the collection and processing of statistical data, such as census data.
External links
Official website
Demographics of Panama
Economy of Panama
Government of Panama
Panama |
https://en.wikipedia.org/wiki/Romani%20Mexicans | There is a significant Roma population in Mexico, most being the descendants of past migrants. According to data collected by the National Institute of Statistics and Geography in 2000, they numbered 15,850, however, the total number is likely larger. In Mexico, they are commonly known as gitanos or rom.
History
The first Romani group in Mexico were the Spanish gitanos that arrived during the Colonial era.
Some of the mid-19th century migrants may have arrived to Mexico via Argentina.
In the late 19th and early 20th century migrants from Hungary, Poland and Russia began arriving. In 1931, after a substantial colony of these latter roma had settled, and following complaints of delinquency, the law was changed to prohibit further settlement in Mexico.
Culture
In the mid 1900s, Romani caravans were known for showing movies in rural towns (cine ambulante, traveling cinema).
Today, their economic activities mainly revolve around the sale of textiles, cars, trucks and jewelry and also the teaching of singing and dancing. As a result of adoption of Evangelical Protestantism, there has been an almost complete abandonment of fortune-telling as a profession among the Romani of Mexico City.
Notable individuals
Alfonso Mejia-Arias - musician, writer and politician
See also
La Lagunilla Market - popular with Romani merchants
Further reading
D. W. Pickett, "The Gypsies of Mexico", Journal of the Gypsy Lore Society, 1966
References
Mexican |
https://en.wikipedia.org/wiki/Carbon%20nanotubes%20for%20water%20transport | Water shortages have become an increasingly pressing concern recently and with recent predictions of a high probability of the current drought turning into a megadrought occurring in the western United States, technologies involving water treatment and processing need to improve. Carbon nanotubes (CNT) have been the subject of extensive studies because they demonstrate a range of unique properties that existing technologies lack. For example, carbon nanotube membranes can demonstrate higher water flux with lower energy than current membranes. These membranes can also filter out particles that are too small for conventional systems which can lead to better water purification techniques and less waste. The largest obstacle facing CNT is processing as it is difficult to produce them in the large quantities that most of these technologies will require.
Basic Information
There are two main types of membrane that can be manufactured: ones with vertically aligned CNT and ones with more randomly arranged CNT. Ideally the membrane would be composed of vertically aligned CNT as this would produce the greatest flux through the membrane but producing this pattern is incredibly difficult. The easier method is to produce a randomly arranged membrane with the drawback that it will not perform as well as the aligned. Other important factors to consider in processing are the tube diameter and length, density of the CNT (how closely packed) and what (if any) filler will be used.
The hydrophobic walls of the carbon nanotubes accelerate the flow of water molecules through the tube as they "slip" whenever they come in contact with the walls. The water molecules are driven through the pores by a pressure difference created by a pump. As the molecules begin to travel through the tube, they form a chain like network with one another due to the strong hydrogen bonding present. This facilitates the flow of water through the tubes as well as making a molecule pulled forward by the one in front of it. The water can also flow down the outer surface of the tubes, but flow through the inside of the tubes is the fastest. This system is thought to be useful in water purification and desalination because of the accelerated water flow, as well as the nanotubes' ion-exclusion properties. Ions are excluded by functionalizing the ends of the nanotubes, as well as by tube diameter.
Surface Chemistry
Nanoconfined Water
While the carbon nanotubes are non-polar and therefore relatively hydrophobic, water spontaneously fills them at ~8-10% humidity. The understood filling mechanism depends on the solvent’s polarity, ion concentration, and the van der Waals forces between the water and the CNT. When water in the interior of the CNT can have a lower chemical potential than it would in the bulk, it fills the CNT. Even non-polar materials are polarizable. This polarizability allows for van der Waals forces between the water and the membrane walls, attracting the water molecules into the |
https://en.wikipedia.org/wiki/Julien%20Amegandjin | Julien Amegandjin (born May 2, 1940 in Togoville) is a Togolese academic. He received his education in Togo and France, studying mathematics and statistics at the University of Paris. He was first a teacher in France, and in the 1970s he was the director of the United Nations's Institut de Formation et de Recherche Demographiques (Institute for Demographic Training and Research) in Yaounde, Cameroon. In 1986 he spent a year devoted to the preparation of his book, Démographie mathématique, which has since become an important textbook for students of demography. He has since devoted himself mainly in West Africa, to the development of agricultural statistics.
References
Togolese academics
Togolese statisticians
1940 births
Living people
Demographers
People from Maritime Region
University of Paris alumni
Togolese expatriates in France
Togolese expatriates in Cameroon
21st-century Togolese people |
https://en.wikipedia.org/wiki/David%20Kinderlehrer | David Samuel Kinderlehrer (October 23, 1941, Allentown, Pennsylvania) is an American mathematician, who works on partial differential equations and related mathematics applied to materials in biology and physics.
Kinderlehrer received in 1963 his bachelor's degree from MIT and in 1968 his Ph.D. from the University of California, Berkeley under Hans Lewy with thesis Minimal surfaces whose boundaries contain spikes. He became in 1968 an instructor and in 1975 a full professor at the University of Minnesota in Minneapolis. For the academic year 1971–1972 he was a visiting professor at the Scuola Normale Superiore di Pisa. In 2003 he became a professor at Carnegie Mellon University.
He works on partial differential equations, minimal surfaces, and variational inequalities, with mathematical applications to the microstructure of biological materials, to solid state physics, and to materials science, including crystalline microstructure, liquid crystals, molecular mechanisms of intracellular transport, and models of ion transport.
In 2002, he was the editor of the Hans Lewy Selecta published by Birkhäuser. His doctoral students include Irene Fonseca.
In 2012, Kinderlehrer was elected a Fellow of the American Mathematical Society. In 1974 in Vancouver he was an invited speaker (Elliptic Variational Inequalities) at the International Mathematical Congress.
Selected publications
with Guido Stampacchia: An introduction to variational inequalities and their applications, Academic Press 1980, SIAM Press 2000
as editor with Jerald L. Ericksen and Constantine Dafermos: Amorphous Polymers and Non-Newtonian Fluids, Springer Verlag 1987
as editor with J. L. Ericksen: Theory and application of liquid crystals, Springer Verlag 1987
as editor with Richard James, Mitchell Luskin, and J. L. Ericksen: Microstructure and phase transition, Springer Verlag 1993
as editor with Mark J. Bowick, Govind Menon, and Charles Radin: Mathematics and Materials, American Mathematical Society 2017
References
External links
Homepage at Carnegie Mellon University
20th-century American mathematicians
21st-century American mathematicians
1941 births
Living people
Massachusetts Institute of Technology alumni
University of California, Berkeley alumni
University of Minnesota faculty
Carnegie Mellon University faculty
Fellows of the American Mathematical Society
Educators from Allentown, Pennsylvania |
https://en.wikipedia.org/wiki/Stephen%20Milne%20%28mathematician%29 | Stephen Carl Milne is an American mathematician who works in the fields of analysis, analytic number theory, and combinatorics.
Milne received a bachelor's degree from San Diego State University in 1972 and a Ph.D. from the University of California, San Diego (UCSD) in 1976. His thesis, Peano curves and smoothness of functions, was written under Adriano M. Garsia. From 1976 to 1978 he was a Gibbs Instructor at Yale University. Milne taught at Texas A&M University, UCSD, the University of Kentucky, and Ohio State University, where he became in 1982 an associate professor and in 1985 a full professor.
Milne works on algebraic combinatorics, classical analysis, special functions, analytic number theory, and Lie algebras (generalizations of the Macdonald identities).
From 1981 to 1983 he was a Sloan Fellow. In 2007 he was the joint recipient with Heiko Harborth of the Euler Medal. In 2012 Milne was elected a Fellow of the American Mathematical Society.
Selected publications
with Glenn Lilly:
References
External links
Homepage at Ohio State University
20th-century American mathematicians
21st-century American mathematicians
Living people
University of California, San Diego alumni
Ohio State University faculty
Combinatorialists
Mathematical analysts
Fellows of the American Mathematical Society
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Variables%20sampling%20plan | In statistics, a variables sampling plan is an acceptance sampling technique. Plans for variables are intended for quality characteristics that are measured on a continuous scale. This plan requires the knowledge of the statistical model (e.g. normal distribution). The historical evolution of this technique dates back to the seminal work of W. Allen Wallis (1943). The purpose of a plan for variables is to assess whether the process is operating far enough from the specification limit. Plans for variables may produce a similar OC curve to attribute plans with significantly less sample size.
The decision criterion of these plans are
or
where and are the sample mean and the standard deviation respectively, is the critical distance, and are the upper and lower regulatory limits. When the above expression is satisfied the proportion nonconforming is lower than expected and therefore the lot is accepted.
A variables sampling plan can be designed so that the OC curve passes through two points (AQL,) and (LQL,). AQL and LQL are the Acceptable quality limit and the limiting quality level respectively. and are the producer and consumer's risks. The required sample size () and the critical distance () can be obtained as
where is the normal distribution function.
When the dispersion is known the required sample size () is obtained from
while for unknown the sample size is approximately
The MIL-STD-414 provides tables to obtain the required sample size and the critical distance according to the type of inspection.
External links
OC curve
See also
Acceptance sampling
References
Online MIL-STD-414 Calculator (SQC Online)
Further reading
Sampling (statistics) |
https://en.wikipedia.org/wiki/Ratan%20Shankar%20Mishra | Ratan Shankar Mishra (1918–1999) was an Indian mathematician and academic who was known for his solutions to the Unified fluid theory of Albert Einstein. He headed the department of Mathematics of the University of Gorakhpur (1958) and University of Allahabad (1963-1968) and served as the vice chancellor of Lucknow University (1982-1985), as the reader at University of Delhi (1954-1958) and as the dean at Banares Hindu University, Varanasi (1965-1968). He was honoured by the Government of India in 1971 with Padma Shri, the fourth highest Indian civilian award.
Biography
Ratan Shankar Mishra was born on 15 October 1918 at Ajgaon, a small hamlet in Unnao district in the Indian state of Uttar Pradesh. Hi completed his schooling from the Government High School in Unnao in 1937 and did intermediate course at Kanyakubj Inter College, Lucknow after which he passed BSc with honours and MSc from Lucknow University. He continued his studies at Delhi University and secured a doctoral degree (PhD) in 1947, the first PhD awarded by the university in Mathematics. His Doctor of Science degree (DSc) came from Lucknow University in 1952, again the first DSc degree awarded by Lucknow University.
Mishra had already started his career while doing his doctoral research by joining the faculty of Mathematics at Ramjas College in 1944, later worked at Delhi College of Arts and Commerce and moved to Lucknow University where he worked till 1954. That year, he was appointed as the reader at the University of Delhi and stayed at the Indian capital till 1958. When Gorakhpur University invited him to head the department of Mathematics in 1958, he accepted the offer and shifted to the University of Allahabad to head the department of mathematics there. He was promoted as the dean in 1965 and in 1968, he joined Banares Hindu University as a selection grade professor and headed the maths and statistics department. In 1973, he became the Chief Proctor of the university and in 1975 became the dean to finally retire in 1978. After retirement, he worked as a visiting professor at Jammu University for a short term and took up the post of the vice chancellor of Lucknow University in 1982. In 1985, he resigned from the post to associate himself with Tensor, the University International Maths Journal, published from Japan. He also served as a visiting professor at University of Kuwait (1970, 1980–81, 1986), University of Windsor (1974) and the University of Waterloo (1967, 1972) and had associations with Kanpur University in academic matters.
Ratan Shankar Mishra died on 23 August 1999, at the age of 80.
Legacy
Mishra specialised in differential geometry, relativity and fluid mechanics and his contributions to these fields have been documented. He was known to have elucidated the complete solutions to the unified field theory of Albert Einstein. He also added to the index-free notations and developed his own notations in differential geometry. He also wrote structures for Different |
https://en.wikipedia.org/wiki/G%C3%A1bor%20Korchm%C3%A1ros | Gábor Korchmáros (born 1948) is a Hungarian mathematician, who works on finite geometry.
Biography
Korchmáros received in 1972 from the University of Budapest a Ph.D. in mathematics. In 1973 on a postdoc grant, he studied at the Research Center of the Accademia dei Lincei in Rome. In 1976 he was awarded the Grunwald Prize of the János Bolyai Mathematical Society. In 1980 he received the Candidate of Sciences degree and in 2000 the Doctor of Sciences degree from the János Bolyai Mathematical Society. In 1987 he became a professor at the Università della Basilicata. He was a visiting professor at several universities, including the University of Sussex, the University of Delaware and the University of Szeged (Hungary).
His research involves the theory of ovals and their higher-dimensional generalizations over finite fields. One topic of his research is the collineation groups of ovals and embedding problems for arcs in ovals; these investigations have applications in coding theory and are related to the Hasse-Weil bound for elliptic curves. He also works on algebraic curves over finite fields and their automorphism groups, translation planes, finite Möbius planes, finite Minkowski planes, and elliptic curve cryptography. In the late 1970s he worked with Beniamino Segre.
He was awarded the Euler Medal of ICA in 2008, and in 2014 the Doctor Honoris Casusa degree at the University of Szeged.
Selected works
1979: Questioni relative ad ovali astratte
1998: (as editor with E. Ballico) Recent Progress in Geometry, Circolo Matematico di Palermo
2008: (with J. W. P. Hirschfeld & F. Torres), Algebraic Curves over a Finite Field, Princeton University Press, Google books link
2010: (with M. Giulietti)
2019: (with M. Giulietti)
References
External links
1948 births
20th-century Hungarian mathematicians
21st-century Hungarian mathematicians
Eötvös Loránd University alumni
Combinatorialists
Living people |
https://en.wikipedia.org/wiki/S.E.S.%20College%2C%20Sreekandapuram |
Courses Offered- Unaided
B.Com Computer Application
BCA
B A English
Courses offered - Aided
B.Sc. Mathematics
B.Sc Physics
B.Sc Chemistry
B.A. Economics
B.A English
B.B.A
B.Com Corporation
MCJ
Affiliation
S.E.S. College is affiliated to the Kannur University.
Notable alumni
K. V. Sumesh, Member of Kerala Legislative Assembly
References
Colleges in Kerala
Universities and colleges in Kannur district
Colleges affiliated to Kannur University
Educational institutions established in 1981
1981 establishments in Kerala |
https://en.wikipedia.org/wiki/CAF%20Confederation%20Cup%20records%20and%20statistics | This page details statistics of CAF Confederation Cup.
General performances
By club
By nation
By semi-final appearances
Records and statistics
The following is a list of clubs that have played in the CAF Confederation Cup. The list is arrayed in order of number of clubs that reached the group stage.
489 clubs participated in the Confederation Cup (20 editions, as of 2023), 244 teams participated only once. 111 teams from 32 countries qualified to the group stage.
Group stage qualification
Teams in bold qualified for the knockout phase (2004-2008 for final, 2009-2016 for semi-finals, since 2017 for quarter-finals).
Participation and group stage qualification
Teams in bold qualified for the knockout phase (2004-2008 for final, 2009-2016 for semi-finals, since 2017 for quarter-finals).
Years marked with *: transferred from Champions League.
Records
Last updated after 2022-23 group stage Matchday 6
Most titles: 3
CS Sfaxien in 2007, 2008, 2013
Teams winning on debut: 4
Étoile du Sahel 2006
CS Sfaxien 2007
Stade Malien 2009
FUS Rabat 2010
Successive title wins: 2
CS Sfaxien 2007, 2008
TP Mazembe 2016, 2017
Most appearances: 13
CS Sfaxien (2007-2010, 2012, 2013, 2015, 2017, 2019-2023)
Most consecutive appearances: 9
Al-Ahly Shendi (2012-2020)
Most consecutive matches without losing: 13
Étoile du Sahel recorded best undefeated streak through two seasons: 2006 (10 games) and 2008 (3 games)
Undefeated through whole season:
Étoile du Sahel 2006 in 10 games (8-2-0 record)
Most goals scored in a season: 34
SuperSport United 2017
Raja Casablanca 2018
Most goals conceded in a season: 25
105 Libreville 2005
Biggest win: 11 goals margin
US Bitam - Desportivo de Guadalupe 12-1 (2 March 2013)
Biggest aggregate win: 16 goals margin
US Bitam - Desportivo de Guadalupe 17-1 (0-5, 12-1; 17 February, 2 March 2013)
Most goals scored in a single game: 13
US Bitam - Desportivo de Guadalupe 12-1 (2 March 2013)
Top goalscorer in a single season: 15
Abdelmalek Ziaya 2009
Group stage records
Most group stage appearances: 9
CS Sfaxien (2007, 2008, 2010, 2013, 2015, 2017, 2019, 2021, 2022)
Most consecutive group stage appearances: 6
Étoile du Sahel (2013-2016, 2019, 2021)
Most consecutive group stage appearances in successive editions: 5
RS Berkane (2018-2022)
Most times advanced past group stage: 7
CS Sfaxien
Most time advanced past group stage as group winners: 5
CS Sfaxien
Most times eliminated in group stage: 4
ASEC Mimosas (2011, 2014, 2018, 2022)
Most times qualified to group stage but failed to go past it: 3
Haras El Hodoud
Most group stage matches played: 54
CS Sfaxien
Most group stage matches won: 25
CS Sfaxien
Most appearances without group stage qualification: 7
Sahel SC
Most teams from one nation/league: 22
Nigeria Premier League; nine teams qualified only once, eight teams managed to qualify to the group stage and five to the knockout stages.
Fewest teams from one nation/league: 0
No teams played in |
https://en.wikipedia.org/wiki/Replacement%20theorem | In mathematical group theory, the Thompson replacement theorem is a theorem about the existence of certain abelian subgroups of a p-group. The Glauberman replacement theorem is a generalization of it introduced by .
Statement
Suppose that P is a finite p-group for some prime p, and let A be the set of abelian subgroups of P of maximal order. Suppose that B is some abelian subgroup of P. The Thompson replacement theorem says that if A is an element of A that normalizes B but is not normalized by B, then there is another element A* of A such that A*∩B is strictly larger than A∩B, and [A*,A] normalizes A.
The Glauberman replacement theorem is similar, except p is assumed to be odd and the condition that B is abelian is weakened to the condition that [B,B] commutes with B and with all elements of A. Glauberman says in his paper that he does not know whether the condition that p is odd is necessary.
References
Theorems about finite groups |
https://en.wikipedia.org/wiki/David%20M.%20Goldschmidt | David M. Goldschmidt (born 21 May 1942, New York City) is an American mathematician specializing in group theory.
Goldschmidt received in 1969 from the University of Chicago a Ph.D. under John Griggs Thompson with thesis On the 2-exponent of a finite group. From 1969 to 1971 he was a Gibbs Instructor at Yale University. From 1971 to 1989 he was on the faculty of the mathematics department at the University of California, Berkeley. In 1989–1991 he was Deputy Director and in 1991 he became Director of the Institute for Defense Analyses's Center for Communication Research in Princeton, New Jersey.
Goldschmidt published his amalgam method for finite groups in 1980. In the 1980s this method was important for new developments in the local structure theory of finite groups. In addition to his work on the amalgam method, Goldschmidt has done research on the representation theory of finite groups and has written a book on algebraic curves without the sophisticated approach of modern algebraic geometry.
In 2012 he was elected a Fellow of the American Mathematical Society. His doctoral students include Jeffrey Shallit.
Selected publications
Algebraic functions and projective curves, Springer 2002
Group characters, symmetric functions and the Hecke Algebra, American Mathematical Society 1993
with Alberto Delgado and Bernd Stellmacher: Groups and graphs: new results and methods, Birkhäuser 1985
Lectures on character theory, Publish or Perish 1980
References
20th-century American mathematicians
21st-century American mathematicians
Group theorists
American cryptographers
University of Chicago alumni
University of California, Berkeley College of Letters and Science faculty
Fellows of the American Mathematical Society
1942 births
Living people
Mathematicians from New York (state)
Scientists from New York City |
https://en.wikipedia.org/wiki/Football%20records%20and%20statistics%20in%20Slovakia | This page details football records in Slovakia.
Team records
Most championships won
Overall
8, Slovan Bratislava (1993–94, 1994–95, 1995–96, 1998–99, 2008–09, 2010–11, 2012–13, 2013–14)
Consecutives
3, ŠK Slovan Bratislava (1993–94, 1994–95, 1995–96)
3, MŠK Žilina (2001–02, 2002–03, 2003–04)
Most seasons in Slovak Liga
19, MŠK Žilina
19, FC Spartak Trnava
Total titles won
References
Records
Slovakia |
https://en.wikipedia.org/wiki/Japaridze%27s%20polymodal%20logic | Japaridze's polymodal logic (GLP) is a system of provability logic with infinitely many provability modalities. This system has played an important role
in some applications of provability algebras in proof theory, and has been extensively studied since the late 1980s. It is named after Giorgi Japaridze.
Language and axiomatization
The language of GLP extends that of the language of classical propositional logic by including the infinite series of necessity operators. Their dual possibility operators are defined by .
The axioms of GLP are all classical tautologies and all formulas of one of the following forms:
And the rules of inference are:
From and conclude
From conclude
Provability semantics
Consider a sufficiently strong first-order theory such as Peano Arithmetic .
Define the series of theories as follows:
is
is the extension of through the additional axioms for each formula such that proves all of the formulas
For each , let be a natural arithmetization of the predicate
is the Gödel number of a sentence provable in .
A realization is a function that sends each nonlogical atom of
the language of GLP to a sentence of the language of . It extends to all formulas
of the language of GLP by stipulating that commutes with the Boolean connectives, and
that is , where
stands for (the numeral for) the Gödel number of .
An arithmetical completeness theorem for GLP states that a formula is provable in GLP if and only if, for every interpretation , the sentence is provable in .
The above understanding of the series of theories is not the only natural understanding yielding the soundness and completeness of GLP. For instance, each theory can be understood as augmented with all true sentences as additional axioms. George Boolos showed that GLP remains sound and complete with analysis (second-order arithmetic) in the role of the base theory .
Other semantics
GLP has been shown to be incomplete with respect to any class of Kripke frames.
A natural topological semantics of GLP interprets modalities as derivative operators of a polytopological space. Such spaces are called
GLP-spaces whenever they satisfy all the axioms of GLP. GLP is complete with respect to the class of all GLP-spaces.
Computational complexity
The problem of being a theorem of GLP is PSPACE-complete. So is the same problem restricted to only variable-free formulas of GLP.
History
GLP, under the name GP, was introduced by Giorgi Japaridze in his PhD thesis "Modal Logical Means of Investigating Provability" (Moscow State University, 1986) and published two years later along with (a) the completeness theorem for GLP with respect to its provability interpretation (Beklemishev subsequently came up with a simpler proof of the same theorem) and (b) a proof that Kripke frames for GLP do not exist. Beklemishev also conducted a more extensive study of Kripke models for GLP.
Topological models for GLP were studied by Beklemishev, Bezhanis |
https://en.wikipedia.org/wiki/Bhattacharyya%20angle | In statistics, Bhattacharyya angle, also called statistical angle, is a measure of distance between two probability measures defined on a finite probability space. It is defined as
where pi, qi are the probabilities assigned to the point i, for i = 1, ..., n, and
is the Bhattacharya coefficient.
The Bhattacharya distance is the geodesic distance in the orthant of the sphere obtained by projecting the probability simplex on the sphere by the transformation .
This distance is compatible with Fisher metric. It is also related to Bures distance and fidelity between quantum states as for two diagonal states one has
See also
Bhattacharyya distance
Hellinger distance
References
Statistical distance
Anil Kumar Bhattacharya |
https://en.wikipedia.org/wiki/Simplicial%20homotopy | In algebraic topology, a simplicial homotopypg 23 is an analog of a homotopy between topological spaces for simplicial sets. If
are maps between simplicial sets, a simplicial homotopy from f to g is a map
such that the diagram (see ) formed by f, g and h commute; the key is to use the diagram that results in and for all x in X.
See also
Kan complex
Dold–Kan correspondence (under which a chain homotopy corresponds to a simplicial homotopy)
Simplicial homology
References
External links
http://ncatlab.org/nlab/show/simplicial+homotopy
Homotopy theory
Simplicial sets |
https://en.wikipedia.org/wiki/Peter%20Orlik | Peter Paul Nikolas Orlik (born 12 November 1938, in Budapest) is an American mathematician, known for his research on topology, algebra, and combinatorics.
Orlik earned in 1961 his bachelor's degree from the Norwegian Institute of Technology in Trondheim and in 1966 his Ph.D. from the University of Michigan under Frank Raymond with thesis Necessary conditions for the homeomorphism of Seifert manifolds. He became in 1966 an assistant professor and in 1973 a full professor at the University of Wisconsin–Madison.
Orlik was in the academic year 1971/72 a visiting professor in Oslo. From 1967 to 1969 he was a visiting scholar at the Institute for Advanced Study.
Orlik is the author of over 70 publications. He works on Seifert manifolds, singularity theory, braid theory, reflection groups, invariant theory, and hypergeometric integrals. He was, with Louis Solomon and Hiroaki Terao, a pioneer of the theory of arrangements of hyperplanes in complex space.
In 2012 he was elected a Fellow of the American Mathematical Society.
Selected publications
Books
Seifert Manifolds, Lecture Notes in Mathematics 291, Springer Verlag, 1972
as editor: Singularities, 2 vols., American Mathematical Society, 1983
Introduction to Arrangements, CBMS Regional Conference Series, American Mathematical Society, 1989
with Volkmar Welker: Algebraic Combinatorics. Lectures at a Summer School in Nordfjordeid, Norway, June 2003, Universitext, Springer Verlag, 2007
Articles
with Colin P. Rourke:
with John Milnor:
with Frank Raymond:
with Philip Wagreich:
The multiplicity of a holomorphic map at an isolated critical point, in Real and complex singularities, Oslo: Sijthoff and Noordhoff, 1977, 405–474
with Louis Solomon:
with Daniel C. Cohen:
References
20th-century American mathematicians
21st-century American mathematicians
Topologists
Norwegian Institute of Technology alumni
University of Michigan alumni
University of Wisconsin–Madison faculty
Fellows of the American Mathematical Society
Institute for Advanced Study visiting scholars
1938 births
Living people
Hungarian emigrants to the United States
Mathematicians from Budapest |
https://en.wikipedia.org/wiki/Hundertwasser%20Art%20Centre | {
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The Hundertwasser Art Centre with Wairau Māori Art Gallery is an art and cultural centre in Whangārei, New Zealand. It is the conception of artist and architect Friedensreich Hundertwasser who lived near Kawakawa for 30 years and was first designed in 1993. The project proved controversial and was considered and rejected a number of times until it was approved by a binding referendum in June 2015. The centre opened on 20 February 2022 with the inaugural exhibition, Puhi Ariki, curated by Nigel Borell.
About
The Hundertwasser Art Centre with Wairau Māori Art Gallery is the last authentic Hundertwasser building in the world. It has a gallery on the top floor with 80 Hundertwasser original artworks and the Wairau Māori Art Gallery, a space for contemporary Māori artwork on the ground floor. The Wairau Māori Art Gallery is the world's first contemporary gallery dedicated to Māori artists with exhibitions are curated by professional Māori curators for the permanent promotion of indigenous art in Aotearoa New Zealand.
The name Wairau is the translation of ‘one hundred waters’ in Te Reo Māori, the same meaning as ‘Hundertwasser’ in German. The building also features a learning centre, a theatre, café, shop and an afforested roof containing rare native species.
History of the building
The Austrian artist-architect Friedensreich Hundertwasser, who lived in the Bay of Islands for 30 years, designed an art centre for Whangārei in 1993. The council did not build it at that time because Hundertwasser selected a building owned by Northland Regional Council, who did not wish to sell it to the Whangārei District Council.
Hundertwasser went on to design the Hundertwasser Toilets for nearby Kawakawa, which became the major attraction for Kawakawa and are credited with providing an impetus for Kawakawa's economic recovery. After his death the Whangārei District Council revived plans to build the Hundertwasser Arts Centre and in 2012 signed a contract with Hundertwasser Non Profit Foundation to build it and to display authentic Hundertwasser work and contemporary Māori artwork there. The Hundertwasser Non Profit Foundation acknowledged this would be the last authentic Hundertwasser building, provided it was built on the building he selected.
This project was costed, consented, agreed and included in the Long Term Council Plan. The cost to the council was to be $8 million including earthquake strengthening for the building. 220,000 visitors a year were expected. A feasibility study by Deloittes assessed the economic benefit to Northland as $3.5 million per year. The Yes Whangarei campaign estimated the effective cost per household via rates to be $6.70 per year over 10 years. This per-household cost ex |
https://en.wikipedia.org/wiki/Complex%20spacetime | In mathematics and mathematical physics, complex spacetime extends the traditional notion of spacetime described by real-valued space and time coordinates to complex-valued space and time coordinates. The notion is entirely mathematical with no physics implied, but should be seen as a tool, for instance, as exemplified by the Wick rotation.
Real and complex spaces
Mathematics
The complexification of a real vector space results in a complex vector space (over the complex number field). To "complexify" a space means extending ordinary scalar multiplication of vectors by real numbers to scalar multiplication by complex numbers. For complexified inner product spaces, the complex inner product on vectors replaces the ordinary real-valued inner product, an example of the latter being the dot product.
In mathematical physics, when we complexify a real coordinate space we create a complex coordinate space , referred to in differential geometry as a "complex manifold". The space can be related to , since every complex number constitutes two real numbers.
A complex spacetime geometry refers to the metric tensor being complex, not spacetime itself.
Physics
The Minkowski space of special relativity (SR) and general relativity (GR) is a 4 dimensional pseudo-Euclidean space. The spacetime underlying Albert Einstein's field equations, which mathematically describe gravitation, is a real 4 dimensional pseudo-Riemannian manifold.
In quantum mechanics, wave functions describing particles are complex-valued functions of real space and time variables. The set of all wavefunctions for a given system is an infinite-dimensional complex Hilbert space.
History
The notion of spacetime having more than four dimensions is of interest in its own mathematical right. Its appearance in physics can be rooted to attempts of unifying the fundamental interactions, originally gravity and electromagnetism. These ideas prevail in string theory and beyond. The idea of complex spacetime has received considerably less attention, but it has been considered in conjunction with the Lorentz–Dirac equation and the Maxwell equations. Other ideas include mapping real spacetime into a complex representation space of , see twistor theory.
In 1919, Theodor Kaluza posted his 5-dimensional extension of general relativity, to Albert Einstein, who was impressed with how the equations of electromagnetism emerged from Kaluza's theory. In 1926, Oskar Klein suggested that Kaluza's extra dimension might be "curled up" into an extremely small circle, as if a circular topology is hidden within every point in space. Instead of being another spatial dimension, the extra dimension could be thought of as an angle, which created a hyper-dimension as it spun through 360°. This 5d theory is named Kaluza–Klein theory.
In 1932, Hsin P. Soh of MIT, advised by Arthur Eddington, published a theory attempting to unify gravitation and electromagnetism within a complex 4-dimensional Riemannian geometry. The line |
https://en.wikipedia.org/wiki/Cleo%20Loi | Shyeh Tjing Cleo Loi (born ) is an Australian astrophysicist and PhD candidate in the Department of Applied Mathematics and Theoretical Physics at the University of Cambridge under John Papaloizou, having completed her undergraduate studies at the University of Sydney School of Physics in 2014. She is credited with proving the existence of plasma tubes inside the Earth's magnetosphere and extending into the plasmasphere.
Background
Loi had been a student at James Ruse Agricultural High School before studying at the University of Sydney as an undergraduate and member of the ARC Centre of Excellence for All-Sky Astrophysics (CAASTRO).
Plasma tubes
While working on her undergraduate thesis, Loi followed the suspicions of scientists as far back as 60 years ago theorizing the existence of plasma tubes. Loi was the lead researcher on the project, and first to successfully prove their existence using the Murchison Widefield Array. The findings of the study were published in the Geophysical Research Letters.
In June 2015, Tara Murphy of the University of Sydney explained the process by which her undergraduate student, Loi, had used MWA results to determine the existence of plasma channels following the Earth's magnetic field lines. Loi applied visualization techniques to specific data that showed distortions in positions for distant point sources, explaining the distortion by the existence of tubular structures along the field lines. Dividing the MWA data into a 'stereo' set from several MWA sources allowed the height of the tubes to be determined. They are believed to be, or are related to, "whistler ducts".
Honors and prizes
Loi won the Astronomical Society of Australia and Australian Academy of Science's 2015 Bok Prize for her plasma tube research. Loi was a finalist of the Young Australian of the Year 2017.
Music
Loi has become a well known violinist, violist, recorder player, and répétiteur and is currently active in the vibrant Cambridge University music scene. She is best known for her work as Assistant Musical Director in Trial By Jury with the Cambridge University Gilbert and Sullivan Society working alongside conductor Robert Nicholas and director Tiffany Charnley.
References
External links
Living people
Australian astrophysicists
University of Sydney alumni
People educated at James Ruse Agricultural High School
1991 births |
https://en.wikipedia.org/wiki/List%20of%20North%20Queensland%20United%20FC%20records%20and%20statistics | North Queensland Fury FC (now called 'Northern Fury') are a semi-professional association football club who compete in the National Premier Leagues Queensland. The club is based out of Townsville, North Queensland and formerly competed professionally in the A-League. They played their home games at Dairy Farmers Stadium since their foundation in 2009 until folding from the A-League. Since then the team has played out of the smaller Murray Sporting Complex.
This list encompasses the major honours won by North Queensland Fury FC, records set by their players, managers and the club in first tier (A-League) competition. The player records section includes details of the club's leading goalscorers and those who have made most appearances in first-team competitions. It also records notable achievements by North Queensland Fury FC players. Attendance records at Dairy Farmers Stadium are also included in the list.
Honours
Domestic
A-League
Premiers (0): None
Runners-Up (0): None
A-League Finals Series
Champions (0): None
Runners-Up (0): None
Appearances (0): None
Appearances
Individual Records
Correct as of 3 June 2015.
Most appearances in all competitions: 49, David Williams
Most A-League appearances: 49, David Williams
Youngest debutant: 18 years, 316 days, Jack Hingert v. Sydney FC – 8 August 2009.
Oldest first team player: 33 years, 319 days, Ufuk Talay v. Brisbane Roar – 8 February 20114.
Most consecutive appearances: 35, Justin Pasfield, (28 November 2009 – 2 January 2011).
Most appearances
Correct as of 3 June 2015
A. Includes finals series.
B. FFA Cup only.
C. AFC Champions League only.
D. Other matches include OFC Club Championship Australian Qualifying Tournament (2005), Pre-Season Cup (2005–2008), Club World Cup, and the Pan-Pacific Championship (2008–2009).
Goalscorers
Updated 3 June 2015.
Domestic
Inaugural goalscorer: Rostyn Griffiths v. Sydney FC – 8 August 2009.
Most league goals: 9, Robbie Fowler
Most goals in a league season: 9, Robbie Fowler, 2009–10 season.
Most goals in a league match:
Most consecutive goalscoring appearances: 3, Robbie Fowler, (28 August 2009 – 15 September 2009).
Youngest goalscorer: 19 years, 325 days, Chris Payne v. Perth Glory – 6 August 2010.
Oldest goalscorer: 34 years, 264 days, Ufuk Talay v. Sydney FC – 15 December 2010.
Top goalscorers
This lists of the top scorers in competitive matches for the club. All current players are in bold. Appearances shown in brackets.
Correct as of 1 June 2015.
A. Include finals series.
B. FFA Cup only.
C. For the purposes of this table, Asia also includes the 2005 OFC Club Championship.
D. Other matches include OFC Club Championship Australian Qualifying Tournament (2005), Pre-Season Cup (2005–2008), Club World Cup, and the Pan-Pacific Championship (2008–2009).
Managerial records
Managers listed in order first game in charge of the team. Caretaker managers included and marked by .
Competitive matches only. These include A-League |
https://en.wikipedia.org/wiki/Dumitru%20Radu | Dumitru Radu (born 3 March 1988, in Ceadîr-Lunga, Moldavian SSR) is a Moldavian football goalkeeper who plays for Lordswood FC Reserves.
Club statistics
Total matches played in Moldavian First League: 12 matches - 3 clean sheets
References
External links
1988 births
Moldovan men's footballers
Living people
Men's association football goalkeepers
FC Saxan players |
https://en.wikipedia.org/wiki/Vladimir%20Cheptenari | Vladimir Cheptenari (born 26 September 1989) is a Moldavian football defender who plays for FC Zaria Bălți.
Club statistics
Total matches played in Moldavian First League: 46 matches - 0 goal
References
External links
1989 births
Moldovan men's footballers
Living people
Men's association football defenders
CSF Bălți players |
https://en.wikipedia.org/wiki/Maxim%20Boghiu | Maxim Boghiu (born 24 May 1991, Chișinău, Moldova) is a Moldavian football defender who plays for FC Academia Chișinău.
Club statistics
Total matches played in Moldavian First League: 77 matches - 0 goal
References
External links
1991 births
Footballers from Chișinău
Moldovan men's footballers
Living people
Men's association football defenders
FC Zimbru Chișinău players
FC Sfîntul Gheorghe players
FC Speranța Crihana Veche players
FC Academia Chișinău players |
https://en.wikipedia.org/wiki/F.%20Thomas%20Farrell | Francis Thomas Farrell (born November 14, 1941, in Ohio, United States) is an American mathematician who has made contributions in the area of topology and differential geometry. Farrell is a distinguished professor emeritus of mathematics at Binghamton University. He also holds a position at the Yau Mathematical Sciences Center, Tsinghua University.
Biographical data
Farrell got his bachelor's degree in 1963 from the University of Notre Dame and earned his Ph.D in Mathematics from Yale University in 1967. His Ph.D. advisor was Wu-Chung Hsiang, and his doctoral thesis title was "The Obstruction to Fibering a Manifold over a Circle". He was a NSF Post-doctoral Fellow at the University of California at Berkeley from 1968 to 1969, and became an assistant professor there from 1969 to 1972. He then went to Pennsylvania State University, where he was promoted to professor in 1978. Later he joined the University of Michigan (1979–1985) and Columbia University (1984–1992). Since 1990 Farrell has been a faculty member at SUNY Binghamton.
In 1970, Farrell was invited to give a 50-minute address at the International Congress of Mathematicians about his thesis in Nice, France.
In 1990, for their joint work on Rigidity in Geometry and Topology, his co-author Lowell E. Jones was invited to give a 45-minute address at the International Congress of Mathematicians in Kyoto, Japan.
Mathematical contributions
Much of Farrell's work lies around the Borel conjecture. He and his co-authors have verified the conjecture for various cases, most notably flat manifolds, nonpositively curved manifolds.
In his thesis, Farrell solved the problem of determining when a manifold (of dimension greater than 5) can fiber over a circle.
In 1977, he introduced Tate–Farrell cohomology, which is a generalization to infinite groups of the Tate cohomology theory for finite groups.
In 1993, he and his co-author Lowell E. Jones introduced the Farrell–Jones conjecture and made contributions on it. The conjecture plays an important role in manifold topology.
References
1941 births
Living people
Topologists
20th-century American mathematicians
21st-century American mathematicians
Mathematicians from Ohio
University of Notre Dame alumni
Yale Graduate School of Arts and Sciences alumni
University of Michigan faculty
Pennsylvania State University faculty
Columbia University faculty
Binghamton University faculty
Academic staff of Tsinghua University |
https://en.wikipedia.org/wiki/Vitalie%20Grijuc | Vitalie Grijuc (born 11 January 1994) is a Moldavian football defender who played in the Moldovan National Division for FC Zaria Bălți.
Club statistics
Total matches played in Moldavian First League: 59 matches - 0 goal
References
External links
1994 births
Moldovan men's footballers
Living people
Men's association football defenders
CSF Bălți players |
https://en.wikipedia.org/wiki/Victor%20Truhanov | Victor Truhanov (born 30 January 1991 in Tiraspol) is a Moldovan football midfielder who plays for Dinamo-Auto Tiraspol.
Club statistics
Total matches played in Moldovan First League: 119 matches - 15 goal
References
External links
1991 births
Living people
Moldovan men's footballers
Moldovan Super Liga players
FC Sheriff Tiraspol players
FC Tiraspol players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Kyrylo%20Sydorenko | Kyrylo Sydorenko (; born 25 July 1985) is a Ukrainian retired football defender who played for VPK-Ahro Shevchenkivka.
Club statistics
Total matches played in Moldavian First League: 20 matches - 2 goals
References
External links
1985 births
Living people
Ukrainian men's footballers
Men's association football defenders
Ukrainian expatriate men's footballers
Expatriate men's footballers in Moldova
Expatriate men's footballers in Belarus
Ukrainian expatriate sportspeople in Moldova
Ukrainian Premier League players
Moldovan Super Liga players
Belarusian Premier League players
FC Dnipro players
FC Dnipro-3 Dnipropetrovsk players
FC Dnipro-2 Dnipropetrovsk players
FC Tiraspol players
FC Dinamo Minsk players
FC Oleksandriya players
FC Obolon Kyiv players
FC Arsenal Kyiv players
FC Mariupol players
FC Helios Kharkiv players
FC Desna Chernihiv players
FC VPK-Ahro Shevchenkivka players
Footballers from Dnipro |
https://en.wikipedia.org/wiki/Jung%20Seol-bin | Jung Seol-bin (), formerly Jung Hae-in (born 6 January 1990), is a South Korean footballer who plays as a forward for Hyundai Steel Red Angels and the South Korea national team.
Career statistics
International
Scores and results list South Korea's goal tally first, score column indicates score after each Jung goal.
Honours
Incheon Hyundai Steel Red Angels
WK League: 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022
South Korea
Asian Games Bronze medal: 2014
References
External links
1990 births
Living people
South Korean women's footballers
Women's association football forwards
South Korea women's under-20 international footballers
South Korea women's international footballers
2015 FIFA Women's World Cup players
Incheon Hyundai Steel Red Angels WFC players
WK League players
Asian Games medalists in football
Footballers at the 2006 Asian Games
Footballers at the 2014 Asian Games
Asian Games bronze medalists for South Korea
Medalists at the 2014 Asian Games
2019 FIFA Women's World Cup players |
https://en.wikipedia.org/wiki/Demiregular%20tiling | In geometry, the demiregular tilings are a set of Euclidean tessellations made from 2 or more regular polygon faces. Different authors have listed different sets of tilings. A more systematic approach looking at symmetry orbits are the 2-uniform tilings of which there are 20. Some of the demiregular ones are actually 3-uniform tilings.
20 2-uniform tilings
Grünbaum and Shephard enumerated the full list of 20 2-uniform tilings in Tilings and Patterns, 1987:
Ghyka's list (1946)
Ghyka lists 10 of them with 2 or 3 vertex types, calling them semiregular polymorph partitions.
Steinhaus's list (1969)
Steinhaus gives 5 examples of non-homogeneous tessellations of regular polygons beyond the 11 regular and semiregular ones. (All of them have 2 types of vertices, while one is 3-uniform.)
Critchlow's list (1970)
Critchlow identifies 14 demi-regular tessellations, with 7 being 2-uniform, and 7 being 3-uniform.
He codes letter names for the vertex types, with superscripts to distinguish face orders. He recognizes A, B, C, D, F, and J can't be a part of continuous coverings of the whole plane.
References
Ghyka, M. The Geometry of Art and Life, (1946), 2nd edition, New York: Dover, 1977.
Keith Critchlow, Order in Space: A design source book, 1970, pp. 62–67
pp. 35–43
Steinhaus, H. Mathematical Snapshots 3rd ed, (1969), Oxford University Press, and (1999) New York: Dover
p. 65
In Search of Demiregular Tilings, Helmer Aslaksen
External links
n-uniform tilings Brian Galebach
Tessellation
Semiregular tilings |
https://en.wikipedia.org/wiki/2015%E2%80%9316%20FK%20Partizan%20season | The 2015–16 season is FK Partizan's 10th season in Serbian SuperLiga. This article shows player statistics and all matches (official and friendly) that the club have and will play during the 2015–16 season.
Transfers
In
Out
For recent transfers, see List of Serbian football transfers winter 2015-16. For summer transfers, see List of Serbian football transfers summer 2015.
Players
Top scorers
Competitions
Overview
Serbian SuperLiga
League table
Matches
Serbian Cup
Serbian Cup
UEFA Champions League
Second qualifying round
Third qualifying round
Play-off round
UEFA Europa League
Group stage
Friendlies
Sponsors
References
External links
Partizanopedia 2015-16
FK Partizan seasons
Partizan
Partizan |
https://en.wikipedia.org/wiki/Evolution%20of%20a%20random%20network | Evolution of a random network is a dynamical process, usually leading to emergence of giant component accompanied with striking consequences on the network topology. To quantify this process, there is a need of inspection on how the size of the largest connected cluster within the network, , varies with the average degree . Networks change their topology as they evolve, undergoing phase transitions. Phase transitions are generally known from physics, where it occurs as matter changes state according to its thermal energy level, or when ferromagnetic properties emerge in some materials as they are cooling down. Such phase transitions take place in matter because it is a network of particles, and as such, rules of network phase transition directly apply to it. Phase transitions in networks happen as links are added to a network, meaning that having N nodes, in each time increment, a link is placed between a randomly chosen pair of them. The transformation from a set of disconnected nodes to a fully connected network is called the evolution of a network.
If we begin with a network having N totally disconnected nodes (number of links is zero), and start adding links between randomly selected pairs of nodes, the evolution of the network begins. For some time we will just create pairs of nodes. After a while some of these pairs will connect, forming little trees. As we continue adding more links to the network, there comes a point when a giant component emerges in the network as some of these isolated trees connect to each other. This is called the critical point. In our natural example, this point corresponds to temperatures where materials change their state. Further adding nodes to the system, the giant component becomes even larger, as more and more nodes get a link to another node which is already part of the giant component. The other special moment in this transition is when the network becomes fully connected, that is, when all nodes belong to the one giant component, which is effectively the network itself at that point.
Conditions for emergence of a giant component
In the Erdős–Rényi model, the average degree of a graph with n vertices and N edges is given by .
The condition for the emergence of a giant component is:
.
Thus, one link is sufficient for its emergence of the giant component.
If expressing the condition in terms of , one obtains:
(1)
Where is the number of nodes, is the probability of clustering.
Therefore, the larger a network, the smaller is sufficient for the giant component.
Regimes of evolution of a random network
Three topological regimes with its unique characteristics can be distinguished in network science: subcritical, supercritical and connected regimes.
Subcritical regime
The subcritical phase is characterised by small isolated clusters, as the number of links is
much less than the |
https://en.wikipedia.org/wiki/Niklas%20Zulciak | Niklas Zulciak (born 3 February 1994) is a German professional footballer who plays as an attacking midfielder.
Career
Zulciak joined Stal Mielec in 2017.
Career statistics
Honours
Lech Poznań
Ekstraklasa: 2014–15
Polish SuperCup: 2015
External links
References
1994 births
Living people
German men's footballers
Men's association football midfielders
Ekstraklasa players
I liga players
II liga players
III liga players
3. Liga players
Lech Poznań II players
Lech Poznań players
FSV Frankfurt players
SV Viktoria Preußen 07 players
Wisła Puławy players
Warta Poznań players
Würzburger Kickers players
German expatriate men's footballers
German expatriate sportspeople in Poland
Expatriate men's footballers in Poland
Footballers from Frankfurt |
https://en.wikipedia.org/wiki/Yair%20Minsky | Yair Nathan Minsky (born in 1962) is an Israeli-American mathematician whose research concerns three-dimensional topology, differential geometry, group theory and holomorphic dynamics. He is a professor at Yale University. He is known for having proved Thurston's ending lamination conjecture and as a student of curve complex geometry.
Biography
Minsky obtained his Ph.D. from Princeton University in 1989 under the supervision of William Paul Thurston, with the thesis Harmonic Maps and Hyperbolic Geometry.
His Ph.D. students include Jason Behrstock, Erica Klarreich, Hossein Namazi and Kasra Rafi.
Honors and awards
He received a Sloan Fellowship in 1995.
He was a speaker at the ICM (Madrid) 2006.
He was named to the 2021 class of fellows of the American Mathematical Society "for contributions to hyperbolic 3-manifolds, low-dimensional topology, geometric group theory and Teichmuller theory". He was elected to the American Academy of Arts and Sciences in 2023.
Selected invited talks
Coxeter lectures (Fields Institute) 2006
Mallat Lectures (Technion) 2008
Selected publications
with Howard Masur: "Geometry of the complex of curves I: Hyperbolicity", Inventiones mathematicae, 138 (1), 103–149.
with Howard Masur: "Geometry of the complex of curves II: Hierarchical structure", Geometric and Functional Analysis, 10 (4), 902–974.
"The classification of Kleinian surface groups, I: Models and bounds", Annals of Mathematics, 171 (2010), 1–107.
with Jeffrey Brock, and Richard Canary: "The classification of Kleinian surface groups, II: The ending lamination conjecture", Annals of Mathematics, 176 (2012), 1–149.
with Jason Behrstock: "Dimension and rank for mapping class groups", Annals of Mathematics (2) 167 (2008), no. 3, 1055–1077.
"The classification of punctured-torus groups", Annals of Mathematics, 149 (1999), 559–626.
"On rigidity, limit sets, and end invariants of hyperbolic 3-manifolds", Journal of the American Mathematical Society, 7 (3), 539–588.
See also
Ending lamination theorem
Curve complex
Quotes
"When Thurston proposed it, the virtual Haken conjecture seemed like a small question, but it hung on stubbornly, shining a spotlight on how little we knew about the field."
References
External links
Minsky's home page at Yale University
Minsky's profile at Google Scholar
20th-century American mathematicians
1962 births
Princeton University alumni
Yale University faculty
Sloan Research Fellows
Topologists
Geometers
Living people
University of Michigan faculty
Fellows of the American Mathematical Society
21st-century American mathematicians
Fellows of the American Academy of Arts and Sciences |
https://en.wikipedia.org/wiki/Lucie%20%C5%A0af%C3%A1%C5%99ov%C3%A1%20career%20statistics | This list summarizes the main career statistics of the Czech professional tennis player Lucie Šafářová. Šafářová won seven WTA singles titles and fifteen WTA doubles titles, including five Grand Slam doubles titles with Bethanie Mattek-Sands, at the 2015 Australian Open and French Open, the 2016 US Open, and the 2017 Australian Open and French Open. In the singles, highlights of Šafářová's career include winning the 2015 Qatar Total Open, reaching the final of the 2015 French Open and making quarter-final and semi-final appearances at the 2007 Australian Open and 2014 Wimbledon Championships respectively. Šafářová achieved her highest singles rankings of number 5 on 14 September 2015 and her highest doubles ranking of number 1 on 21 August 2017.
Performance timelines
Only main-draw results in WTA Tour, Grand Slam tournaments, Fed Cup and Olympic Games are included in win–loss records.
Singles
Doubles
Grand Slam finals
Singles: 1 (1 runner-up)
Doubles: 5 (5 titles)
Other significant finals
WTA Finals finals
Doubles: 1 (1 runner-up)
Summer Olympics
Doubles: 1 bronze medal
WTA 1000 finals
Doubles: 5 (5 titles)
WTA Tour finals
Singles: 17 (7 titles, 10 runners-up)
Doubles: 20 (15 titles, 5 runners-up)
ITF Circuit finals
Singles: 10 (7 titles, 3 runner-ups)
Doubles: 2 (1 title, 1 runner-up)
Career Grand Slam statistics
Best Grand Slam results details
Grand Slam winners are in boldface, and runner–ups are in italics.
Record against other players
Record against top 10 players
She has a 26–75 () record against players who were, at the time the match was played, ranked in the top 10.
Notes
References
Safarova, Lucie |
https://en.wikipedia.org/wiki/Yuto%20Misao | is a Japanese football player for Oita Trinita.
His younger brother Kento is also a professional footballer currently playing for Kashima Antlers.
Club statistics
Updated to 1 August 2022.
1Includes Japanese Super Cup.
Achievements
Shonan Bellmare
J2 League (1): 2014
Kashima Antlers
Japanese Super Cup (1): 2017
AFC Champions League (1): 2018
References
External links
1991 births
Living people
Waseda University alumni
Association football people from Tokyo Metropolis
Japanese men's footballers
J1 League players
J2 League players
Shonan Bellmare players
Kashima Antlers players
Oita Trinita players
Men's association football defenders
People from Musashino, Tokyo |
https://en.wikipedia.org/wiki/Alison%20%28footballer%2C%20born%201995%29 | Alison Henrique Mira (born 1 December 1995, in Santa Cruz do Rio Pardo), simply known as Alison, is a Brazilian footballer who plays as a forward for Nova Venécia.
Career statistics
Honours
Atlético Goianiense
Campeonato Brasileiro Série B: 2016
References
External links
1995 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Footballers from São Paulo (state)
Men's association football forwards
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Associação Desportiva São Caetano players
Atlético Clube Goianiense players
Clube Náutico Capibaribe players
Mirassol Futebol Clube players
Sampaio Corrêa Futebol Clube players
Clube Atlético Votuporanguense players
Clube Atlético Tubarão players
Esporte Clube Novo Hamburgo players
Manaus Futebol Clube players
Joinville Esporte Clube players
Floresta Esporte Clube players
Pouso Alegre Futebol Clube players
J1 League players
Shonan Bellmare players
Brazilian expatriate sportspeople in Japan
Expatriate men's footballers in Japan
People from Santa Cruz do Rio Pardo |
https://en.wikipedia.org/wiki/Masataka%20Kani | is a Japanese football player of Gainare Tottori.
Club career statistics
Updated to 22 February 2018.
References
External links
Profile at Gainare Tottori
1991 births
Living people
Hannan University alumni
Association football people from Kanagawa Prefecture
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Japan Football League players
Kawasaki Frontale players
Shonan Bellmare players
Zweigen Kanazawa players
FC Imabari players
Gainare Tottori players
Men's association football midfielders |
https://en.wikipedia.org/wiki/Kosuke%20Shirai | is a Japanese footballer who plays as a midfielder for club FC Tokyo.
Career statistics
.
Honours
Shonan Bellmare
J2 League (1): 2014
Hokkaido Consadole Sapporo
J.League Cup (1): 2019 runner-up
References
External links
Profile at Consadole Sapporo
Profile at Ehime FC
1994 births
Living people
Association football people from Aichi Prefecture
Japanese men's footballers
J1 League players
J2 League players
Japan Football League players
Fukushima United FC players
Shonan Bellmare players
Ehime FC players
Hokkaido Consadole Sapporo players
Kyoto Sanga FC players
FC Tokyo players
Men's association football wingers |
https://en.wikipedia.org/wiki/Ron%20Buckmire | Ron Buckmire (born 1968) is a Grenadian-born mathematician, former chess champion of Barbados and LGBT activist. He is the past chair of the Occidental College Department of Mathematics. Starting in August 2018, he served as the Associate Dean for Curricular Affairs and Director of the Core Program at Occidental College for four years.
Early life and education
Buckmire was born in 1968 in Grenville, Grenada. In 1969 his family moved to the United States while his father earned a Ph.D. degree at the University of Massachusetts at Amherst, and in 1978 they moved to Barbados. There Buckmire attended high school at the Combermere School. Buckmire returned to the United States in 1986 to attend the Rensselaer Polytechnic Institute (RPI), graduating with a B.S. degree in three years and earning his Ph.D. in 1994, both in mathematics. His dissertation was on transonic aerodynamic flow, titled "The Design of Shock-Free Transonic Slender Bodies", under the advisement of Julian David Cole and Donald William Schwendeman.
Career
In 1994 he joined Occidental College as a postdoctoral researcher, and in 1996 he gained an appointment there as an assistant professor. After being granted tenure and promotion in 2004 he served as department chair from 2005 to 2010. His research interests include computational fluid dynamics for aerodynamics, nonstandard finite difference schemes, and the application of mathematical models to unusual phenomena such as the financial performance of movies.
From 2011 to 2013 Buckmire was a Program Director (rotator) at the National Science Foundation (NSF), in the Division of Undergraduate Education. After returning to Occidental he was promoted to Full Professor in 2014 and served as interim department chair for three semesters starting in Fall 2015. In summer 2016 he returned to NSF as Lead Program Director, a position he held until 2018. Starting in 2021, he is serving as SIAM's first Vice President for Equity, Diversity, and Inclusion. His term as Associate Dean for Curricular Affairs and Director of the Core Program at Occidental College ended in August 2022.
Research
Buckmire's research is in the area of applied mathematics, particular investigating numerical solutions of ordinary differential equations and partial differential equations. He has published multiple papers that show how to use nonstandard finite difference schemes to produce approximations to solutions of the Liouville–Bratu–Gelfand equation in one-dimension and in cylindrical or spherical coordinates.
Activism
Buckmire is also known as an LGBT activist. He came out during college in 1988 or 1989, having gained information about homosexuality through the early Internet. He became active in several student organizations at RPI, including serving as president of the Rensselaer Gay/Lesbian/Bisexual Association and even co-founding the Women Students Association. In 1991 he began the Queer Resources Directory, an online resource that for information on issu |
https://en.wikipedia.org/wiki/Frederick%20Cohen | Frederick Cohen may refer to:
Fritz Cohen (Frederick A. Cohen, 1904–1967), German composer
Frederick R. Cohen (1945–2022), American mathematician specializing in algebraic topology
Fred Cohen (born 1956), American computer scientist
Freddie Cohen (born 1957), British businessman and politician |
https://en.wikipedia.org/wiki/Fumitaka%20Kitatani | is a Japanese football player who plays for Ventforet Kofu.
Club career statistics
Updated to end of 2018 season.
Achievements
Japanese Super Cup: 2014 runners-up
References
External links
Profile at V-Varen Nagasaki
Profile at Renofa Yamaguchi FC
Profile at Yokohama F. Marinos
1995 births
Living people
Association football people from Osaka Prefecture
People from Izumisano
Japanese men's footballers
J1 League players
J2 League players
J3 League players
Yokohama F. Marinos players
Renofa Yamaguchi FC players
V-Varen Nagasaki players
FC Gifu players
J.League U-22 Selection players
Ventforet Kofu players
Men's association football central defenders |
https://en.wikipedia.org/wiki/Richard%20Canary | Richard Douglas Canary (born in 1962) is an American mathematician working mainly on low-dimensional topology. He is a professor at the University of Michigan.
Canary obtained his Ph.D. from Princeton University in 1989 under the supervision of William Paul Thurston, with the thesis Hyperbolic Structures on 3-Manifolds with Compressible Boundaries.
He received a Sloan Research Fellowship in 1993.
In 2015 he became a fellow of the American Mathematical Society, "for contributions to low-dimensional topology and hyperbolic geometry as well as for service and teaching in mathematics."
References
External links
Canary's home page at the University of Michigan
Canary's profile at Google Scholar
20th-century American mathematicians
1962 births
Princeton University alumni
University of Michigan faculty
Sloan Research Fellows
Fellows of the American Mathematical Society
Topologists
Living people
Geometers
21st-century American mathematicians |
https://en.wikipedia.org/wiki/Isabelle%20Boutron | Isabelle Boutron is a professor of epidemiology at the Université Paris Cité and head of the INSERM- METHODS team within the Centre of Research in Epidemiology and Statistics (CRESS). She was originally trained in rheumatology and later switched to a career in epidemiology and public health. She is also deputy director of the French EQUATOR (Enhancing the QUAlity and Transparency Of health Research) Centre, member of the SPIRIT-CONSORT executive committee, director of Cochrane France and co-convenor of the Bias Methods group of the Cochrane Collaboration.
Biography and education
Boutron graduated from the Pierre and Marie Curie University in rheumatology in 2002 and obtained her PhD in epidemiology in 2006. She was a postdoctoral fellow in the Centre for Statistics in Medicine, University of Oxford from 2008 to 2009, working under Douglas Altman.
After being trained in rheumatology, Boutron was awarded of a fellowship from the French Ministry of Health and a 2-year fellowship from the Assistance Publique - Hôpitaux de Paris. With these fellowships, she switched her career focus to epidemiology and public health. She was awarded a PhD in epidemiology in 2006 and became assistant Professor of Epidemiology in the Paris Diderot University in the Department of Epidemiology and Biostatistics directed by Dr. Philippe Ravaud. After a postdoctoral position in the University of Oxford, she joined the Paris Descartes University as associate professor (2009-2012) and professor since 2012 at Université Paris Cité.
Scientific activities
Boutron's research activities mainly focus on meta-research, interventional research on research, transparency, the peer-review process, methodological issues of assessing interventions (blinding, external validity, complex interventions) and research synthesis. She has worked on the internal and external validity of non-pharmacological trials, and co-led the extension of the CONSORT statement on reporting treatment trials for nonpharmacologic treatments. Along with her colleagues she edited a book entitled “Randomized Clinical Trials of Nonpharmacological Treatments.”
She also investigates the distorted dissemination of research finding through publication bias, selective reporting of outcomes and spin defined as a distorted interpretation of research findings. Boutron has demonstrated the high prevalence of such distortion in the published scientific literature and shown how the biased presentation, and interpretation of research results may bias the interpretation of readers, which is a critically important aspect of the knowledge translation process.
She led an innovative and ambitious joint doctoral training programme funded by Marie Skłodowska-Curie Actions, dedicated to Methods in Research on Research (MIROR) in the field of clinical research,
She is currently leading the COVID-NMA initiative a living mapping and living evidence synthesis of preventive interventions and treatments for COVID-19.
Boutron has publi |
https://en.wikipedia.org/wiki/Lai-Sang%20Young | Lai-Sang Lily Young (, born 1952) is a Hong Kong-born American mathematician who holds the Henry & Lucy Moses Professorship of Science and is a professor of mathematics and neural science at the Courant Institute of Mathematical Sciences of
New York University. Her research interests include dynamical systems, ergodic theory, chaos theory, probability theory, statistical mechanics, and neuroscience. She is particularly known for introducing the method of Markov returns in 1998, which she used to prove exponential correlation delay in Sinai billiards and other hyperbolic dynamical systems.
Education and career
Although born and raised in Hong Kong, Young came to the US for her education, earning a bachelor's degree from the University of Wisconsin–Madison in 1973. She moved to the University of California, Berkeley for her graduate studies, earning a master's degree in 1976 and completing her doctorate in 1978, under the supervision of Rufus Bowen. She taught at Northwestern University from 1979 to 1980, Michigan State University from 1980 to 1986, the University of Arizona from 1987 to 1990, and the University of California, Los Angeles from 1991 to 1999. She has been the Moses Professor at NYU since 1999.
Awards and honors
Young became a Sloan Fellow in 1985, and a Guggenheim Fellow in 1997.
In 1993, Young was given the Ruth Lyttle Satter Prize in Mathematics of the American Mathematical Society "for her leading role in the investigation of the statistical (or ergodic) properties of dynamical systems". This is a biennial award for outstanding research contributions by a female mathematician.
In 2004, she was elected as a fellow of the American Academy of Arts and Sciences.
Young was an invited speaker at the International Congress of Mathematicians in 1994, and an invited plenary speaker at the 2018 International Congress of Mathematicians.
In 2005, she presented the Noether Lecture of the Association for Women in Mathematics; her talk was entitled "From Limit Cycles to Strange Attractors". In 2007, she presented the Sonia Kovalevsky lecture, jointly sponsored by the AWM and the Society for Industrial and Applied Mathematics.
In 2020 she was elected a member of the National Academy of Sciences. She is the recipient of the 2021 Jürgen Moser Lecture prize "for her sustained and deep contributions to the theory of non-uniformly hyperbolic dynamical systems."
Selected publications
.
.
.
.
.
.
.
References
External links
Young's Homepage
(Plenary Lecture 8)
Kevin Hartnett, A Mathematical Model Unlocks the Secrets of Vision, Quanta Magazine, 21 August 2019
1952 births
Living people
20th-century American mathematicians
20th-century women mathematicians
21st-century American mathematicians
21st-century women mathematicians
American women mathematicians
Courant Institute of Mathematical Sciences faculty
Dynamical systems theorists
Fellows of the American Academy of Arts and Sciences
Members of the United States National Academy of Sciences
|
https://en.wikipedia.org/wiki/Monoidal%20category%20action | In algebra, an action of a monoidal category S on a category X is a functor
such that there are natural isomorphisms and and those natural isomorphism satisfy the coherence conditions analogous to those in S. If there is such an action, S is said to act on X.
For example, S acts on itself via the monoid operation ⊗.
References
Monoidal categories
Functors |
https://en.wikipedia.org/wiki/Uniform%20tiling%20symmetry%20mutations | In geometry, a symmetry mutation is a mapping of fundamental domains between two symmetry groups. They are compactly expressed in orbifold notation. These mutations can occur from spherical tilings to Euclidean tilings to hyperbolic tilings. Hyperbolic tilings can also be divided between compact, paracompact and divergent cases.
The uniform tilings are the simplest application of these mutations, although more complex patterns can be expressed within a fundamental domain.
This article expressed progressive sequences of uniform tilings within symmetry families.
Mutations of orbifolds
Orbifolds with the same structure can be mutated between different symmetry classes, including across curvature domains from spherical, to Euclidean to hyperbolic. This table shows mutation classes. This table is not complete for possible hyperbolic orbifolds.
*n22 symmetry
Regular tilings
Prism tilings
Antiprism tilings
*n32 symmetry
Regular tilings
Truncated tilings
Quasiregular tilings
Expanded tilings
Omnitruncated tilings
Snub tilings
*n42 symmetry
Regular tilings
Quasiregular tilings
Truncated tilings
Expanded tilings
Omnitruncated tilings
Snub tilings
*n52 symmetry
Regular tilings
*n62 symmetry
Regular tilings
*n82 symmetry
Regular tilings
References
Sources
John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008,
From hyperbolic 2-space to Euclidean 3-space: Tilings and patterns via topology Stephen Hyde
Polyhedra
Euclidean tilings
Hyperbolic tilings |
https://en.wikipedia.org/wiki/David%20P.%20Williamson | David Paul Williamson is a professor of operations research at Cornell University, and the editor-in-chief of the SIAM Journal on Discrete Mathematics. He earned his Ph.D. in 1993 from the Massachusetts Institute of Technology under the supervision of Michel Goemans, and is best known for his work with Goemans on approximation algorithms based on semidefinite programming, for which they won the Fulkerson Prize in 2000. He also received the Frederick W. Lanchester Prize in 2013. In 2022 he received the AMS Steele Prize for Seminal Contribution to Research.
References
External links
Home page
Google scholar profile
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American operations researchers
MIT School of Engineering alumni
Cornell University faculty
Place of birth missing (living people) |
https://en.wikipedia.org/wiki/Cosmos%20%28category%20theory%29 | In the area of mathematics known as category theory, a cosmos is a symmetric closed monoidal category that is complete and cocomplete. Enriched category theory is often considered over a cosmos.
References
Category theory |
https://en.wikipedia.org/wiki/P-adic%20cohomology | In mathematics, p-adic cohomology means a cohomology theory for varieties of characteristic p whose values are modules over a ring of p-adic integers. Examples (in roughly historical order) include:
Serre's Witt vector cohomology
Monsky–Washnitzer cohomology
Infinitesimal cohomology
Crystalline cohomology
Rigid cohomology
See also
p-adic Hodge theory
Étale cohomology, taking values over a ring of l-adic integers for l≠p
Arithmetic geometry
Cohomology theories |
https://en.wikipedia.org/wiki/Braulio%20Uraeza%C3%B1a | Braulio Uraezaña Cuñaendi (born March 26, 1995, in Bolivia) is a Bolivian footballer who currently plays goalkeeper for Blooming.
Club career statistics
International career
Uraezaña was summoned to the Bolivian U-20 team to play in the 2015 South American Youth Football Championship.
References
External links
Braulio Uraezaña at ZeroZero
1995 births
Living people
Bolivian men's footballers
Men's association football goalkeepers
Club Blooming players
Club Real Potosí players
Club Deportivo Guabirá players
Bolivian Primera División players |
https://en.wikipedia.org/wiki/Nina%20Uraltseva | Nina Nikolaevna Uraltseva (born 1934, ) is a Russian mathematician, a professor of mathematics and head of the department of mathematical physics at Saint Petersburg State University, and the editor-in-chief of the Proceedings of the St. Petersburg Mathematical Society. Her specialty is the study of nonlinear partial differential equations.
Nina Uraltseva was born on 24 May 1934 in Leningrad, USSR (currently St. Petersburg, Russia), to parents Nikolai Fedorovich Uraltsev, (an engineer) and Lidiya Ivanovna Zmanovskaya (a school physics teacher). She received a diploma in physics from Saint Petersburg State University (then known as Leningrad State University) in 1956. She earned a Ph.D. in 1960 from the same university, under the supervision of Olga Ladyzhenskaya, and completed her D.Sc. (the Soviet equivalent of a habilitation) in 1964. She joined the faculty of Leningrad State University in 1959, and was promoted to professor in 1968 and department head in 1974.
Uraltseva's research on Hilbert's nineteenth problem and Hilbert's twentieth problem led to her recognition in 1967 by the Chebyshev Prize of the USSR Academy of Sciences, and in 1969 by the USSR State Prize. Uraltseva was a speaker at the 1970 and 1986 International Congress of Mathematicians. A meeting on partial differential equations was held in honor of her 70th birthday at the Royal Institute of Technology, Stockholm, in June 2005, and in 2006 the Royal Institute of Technology gave her an honorary doctorate. For her 75th birthday, a book on partial differential equations and a special issue of the journal Problemy Matematicheskogo Analiza were dedicated to her. A special issue of the journal Algebra i Analiz commemorated her 85th birthday.
References
1934 births
Living people
Russian mathematicians
Women mathematicians
Academic staff of Saint Petersburg State University |
https://en.wikipedia.org/wiki/Anna%20Zofia%20Krygowska | Anna Zofia Krygowska (1904–1988) was a Polish mathematician, known for her work in mathematics education.
Krygowska was born in Lwów, at that time the capital of Austrian Poland, on 19 September 1904. She grew up in Zakopane, and attended the Jagiellonian University in Kraków, where she graduated in mathematics in 1927. From 1927 to 1950 she was a primary and secondary school mathematics teacher in Poland, including a time spent underground during World War II. In 1950 she earned a doctorate from the Jagiellonian University, under the supervision of Tadeusz Ważewski, and joined the faculty of the Pedagogical University of Kraków. In 1958 she was promoted to head of the newly formed Department of Didactics of Mathematics. She retired in 1974.
Krygowska was an active participant in national and international groups concerning the teaching of mathematics. In 1956 she was part of the Polish delegation to the UNESCO conference of ministers of public education, and organized two conferences of the International Commission for the Study and Improvement of Mathematics Teaching (CIEAEM), in 1960 and 1971; she became president of CIEAEM in 1970, and honorary president in 1974. She also spoke on mathematics education at the International Congress of Mathematicians in 1966 and 1970.
She died on 16 May 1988.
References
1904 births
1988 deaths
20th-century Polish mathematicians
Polish women mathematicians
Mathematics educators
Jagiellonian University alumni
People from Zakopane
20th-century women mathematicians
20th-century Polish women |
https://en.wikipedia.org/wiki/Steven%20J.%20Miller | Steven Joel Miller is a mathematician who specializes in analytic number theory and has also worked in applied fields such as sabermetrics and linear programming. He is a co-author, with Ramin Takloo-Bighash, of An Invitation to Modern Number Theory (Princeton University Press, 2006), with Midge Cozzens of The Mathematics of Encryption: An Elementary Introduction (AMS Mathematical World series 29, Providence, RI, 2013), and with Stephan Ramon Garcia of ``100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection (American Mathematical Society, 2019). He also edited Theory and Applications of Benford's Law (Princeton University Press, 2015) and wrote The Mathematics of Optimization: How to do things faster (AMS Pure and Applied Undergraduate Texts Volume: 30; 2017) and ``The Probability Lifesaver: All the Tools You Need to Understand Chance (Princeton University Press, 2017). He has written over 100 papers in topics including accounting, Benford's law, computer science, economics, marketing, mathematics, physics, probability, sabermetrics, and statistics, available on the arXiv and his homepage.
Academic career
Miller earned his B.S. in mathematics and physics at Yale University and completed his graduate studies in mathematics at Princeton University in 2002. His Ph.D. thesis, titled "1 and 2 Level Densities for Families of Elliptic Curves: Evidence for the Underlying Group Symmetries," was written under the direction of Peter Sarnak and Henryk Iwaniec. He is currently a professor of mathematics at Williams College, where he has served as the Director of the Williams SMALL REU Program and is currently the faculty president of the Williams Phi Beta Kappa chapter. He's also a faculty fellow at the Erdos Institute.
He was included in the 2019 class of fellows of the American Mathematical Society "for contributions to number theory and service to the mathematical community, particularly in support of mentoring undergraduate research".
Books
Miller has published six books.
100 Years of Math Milestones: The Pi Mu Epsilon Centennial Collection (with Stephan Ramon Garcia): https://bookstore.ams.org/mbk-121
Benford's Law: Theory and Applications (editor): https://press.princeton.edu/books/hardcover/9780691147611/benfords-law
An Invitation to Modern Number Theory (with Ramin Takloo-Bighash): https://press.princeton.edu/books/hardcover/9780691120607/an-invitation-to-modern-number-theory
The Mathematics of Encryption: An Elementary Introduction (with Margaret Cozzens): https://bookstore.ams.org/mawrld-29
Mathematics of Optimization: How to do Things Faster: https://bookstore.ams.org/amstext-30/
The Probability Lifesaver: All the Tools You Need to Understand Chance: https://press.princeton.edu/books/hardcover/9780691149547/the-probability-lifesaver
Controversies
In the aftermath of the 2020 United States presidential election Miller performed a statistical analysis of the integrity of mail in voting in Pennsylvania. The data underlying |
https://en.wikipedia.org/wiki/Jos%C3%A9%20F.%20Escobar | José Fernando "Chepe" Escobar (born 20 December 1954, in Manizales, Colombia) was a Colombian mathematician known for his work on differential geometry and partial differential equations. He was professor at Cornell University.
He completed his mathematical undergraduate program at Universidad del Valle, Colombia. He received a scholarship that permitted him to do a master in science studies in the Institute of Pure and Applied Mathematics (IMPA) in Rio de Janeiro, Brazil.
Escobar obtained his Ph.D. from the University of California, Berkeley in 1986, under the supervision of Richard Schoen. In his thesis he solved the problem known as "the boundary Yamabe problem", that had been previously settled only for the case of manifolds without boundary.
He died from cancer on 3 January 2004, at the age 49.
Among the awards he received for his work were "the Alfred Sloan Fellowship" and "the Presidential Faculty Fellowship" (received at the White House directly from the hands of the President of the United States).
Mathematician Fernando Codá Marques was a student of him.
Selected publications
Research articles
"The Yamabe problem on manifolds with boundary", Journal of Differential Geometry, 1992.
"Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary", Annals of Mathematics, 1992.
"Conformal metrics with prescribed scalar curvature", Inventiones mathematicae, 1986.
"Sharp constant in a Sobolev trace inequality", Indiana University Mathematics Journal, 1988.
"Uniqueness theorems on conformal deformation of metrics, Sobolev inequalities, and an eigenvalue estimate", Communications on Pure and Applied Mathematics, 1990.
Books
Topics in PDEs̕ and differential geometry, 2002
Some variational problems in geometry, 2000
References
External link
José Fernando Escobar biography at MacTutor
1954 births
2004 deaths
People from Caldas Department
University of Valle alumni
Cornell University faculty
University of California, Berkeley alumni
21st-century Colombian mathematicians
Differential geometers
People from Manizales
Deaths from cancer in Colombia
Sloan Research Fellows
20th-century Colombian mathematicians |
https://en.wikipedia.org/wiki/Inserter%20category | In category theory, a branch of mathematics, the inserter category is a variation of the comma category where the two functors are required to have the same domain category.
Definition
If C and D are two categories and F and G are two functors from C to D, the inserter category Ins(F, G) is the category whose objects are pairs (X, f) where X is an object of C and f is a morphism in D from F(X) to G(X) and whose morphisms from (X, f) to (Y, g) are morphisms h in C from X to Y such that .
Properties
If C and D are locally presentable, F and G are functors from C to D, and either F is cocontinuous or G is continuous; then the inserter category Ins(F, G) is also locally presentable.
References
Category theory |
https://en.wikipedia.org/wiki/Joel%20Bejarano | Joel Bejarano Azogue (born March 21, 1996 in Santa Cruz de la Sierra) is a Bolivian footballer who currently plays as a midfielder.
Club career statistics
International career
Bejarano was a member of the Bolivian squad that participated in the 2013 South American Under-17 Football Championship. He was also summoned to the Bolivian U-20 team to play in the 2015 South American Youth Football Championship.
References
External links
1996 births
Living people
Footballers from Santa Cruz de la Sierra
Men's association football midfielders
Bolivian men's footballers
Club Blooming players
Oriente Petrolero players
Bolivia men's youth international footballers |
https://en.wikipedia.org/wiki/Kanta%20Gupta | Chander Kanta Gupta (8 October 1938 – 27 March 2016) was a Canadian distinguished professor of mathematics at the University of Manitoba, known for her research in abstract algebra and group theory. Much of her research concerns the automorphisms in different varieties of groups.
Education
Gupta earned a bachelor's degree from the University of Jammu and Kashmir, a master's degree from the Aligarh Muslim University, another master's degree from the Australian National University, and a Ph.D. in 1967 from ANU under the supervision of Michael Frederick Newman.
Recognition
She was elected to the Royal Society of Canada in 1991, and awarded the Krieger–Nelson Prize of the Canadian Mathematical Society in 2000.
Personal
Her husband, Narain Gupta (1936–2008) was also an ANU alumnus, and a distinguished professor of mathematics at the University of Manitoba.
References
1938 births
2016 deaths
20th-century Indian mathematicians
Indian women mathematicians
Canadian mathematicians
Canadian women mathematicians
Aligarh Muslim University alumni
Australian National University alumni
Academic staff of the University of Manitoba
Fellows of the Royal Society of Canada
Indian group theorists
Scientists from Jammu and Kashmir
20th-century Indian women scientists
21st-century Indian mathematicians
Women scientists from Jammu and Kashmir
21st-century Indian women scientists
20th-century women mathematicians
21st-century women mathematicians |
https://en.wikipedia.org/wiki/Luis%20Arroyo%20%28Bolivian%20footballer%29 | Luis Daniel Arroyo Cabrera (born July 17, 1991 in Bolivia) is a Bolivian footballer who since 2012 has played midfielder for Blooming.
Club career statistics
References
External links
1991 births
Living people
Men's association football midfielders
Bolivian men's footballers
Universitario de Sucre footballers
Club Blooming players |
https://en.wikipedia.org/wiki/Vine%20copula | A vine is a graphical tool for labeling constraints in high-dimensional probability distributions. A regular vine is a special case for which all constraints are two-dimensional or conditional two-dimensional. Regular vines generalize trees, and are themselves specializations of Cantor tree.
Combined with bivariate copulas, regular vines have proven to be a flexible tool in high-dimensional dependence modeling. Copulas
are multivariate distributions with uniform univariate margins. Representing a joint distribution as univariate margins plus copulas allows the separation of the problems of estimating univariate distributions from the problems of estimating dependence. This is handy in as much as univariate distributions in many cases can be adequately estimated from data, whereas dependence information is roughly unknown, involving summary indicators and judgment.
Although the number of parametric multivariate copula families with flexible dependence is limited, there are many parametric families of bivariate copulas. Regular vines owe their increasing popularity to the fact that they leverage from bivariate copulas and enable extensions to arbitrary dimensions. Sampling theory and estimation theory for regular vines are well developed
and model inference has left the post
. Regular vines have proven useful in other problems such as (constrained) sampling of correlation matrices, building non-parametric continuous Bayesian networks.
For example, in finance, vine copulas have been shown to effectively model tail risk in portfolio optimization applications.
Historical origins
The first regular vine, avant la lettre, was introduced by Harry Joe.
The motive was to extend parametric bivariate extreme value copula families to higher dimensions. To this end he introduced what would later be called the D-vine. Joe
was interested in a class of n-variate distributions with given one dimensional margins, and n(n − 1) dependence parameters, whereby n − 1 parameters correspond to bivariate margins, and the others correspond to conditional bivariate margins. In the case of multivariate normal distributions, the parameters would be n − 1 correlations and (n − 1)(n − 2)/2 partial correlations, which were noted to be algebraically independent in (−1, 1).
An entirely different motivation underlay the first formal definition of vines in Cooke.
Uncertainty analyses of large risk models, such as those undertaken for the European Union and the US Nuclear Regulatory Commission for accidents at nuclear power plants, involve quantifying and propagating uncertainty over hundreds of variables.
Dependence information for such studies had been captured with Markov trees,
which are trees constructed with nodes as univariate random variables and edges as bivariate copulas. For n variables, there are at most n − 1 edges for which dependence can be specified. New techniques at that time involved obtaining uncertainty distributions on modeling parameters by eliciting |
https://en.wikipedia.org/wiki/Friedman%27s%20SSCG%20function | In mathematics, a simple subcubic graph (SSCG) is a finite simple graph in which each vertex has a degree of at most three. Suppose we have a sequence of simple subcubic graphs G1, G2, ... such that each graph Gi has at most i + k vertices (for some integer k) and for no i < j is Gi homeomorphically embeddable into (i.e. is a graph minor of) Gj.
The Robertson–Seymour theorem proves that subcubic graphs (simple or not) are well-founded by homeomorphic embeddability, implying such a sequence cannot be infinite. So, for each value of k, there is a sequence with maximal length. The function SSCG(k) denotes that length for simple subcubic graphs. The function SCG(k) denotes that length for (general) subcubic graphs.
The SCG sequence begins SCG(0) = 6, but then explodes to a value equivalent to fε2*2 in the fast-growing hierarchy.
The SSCG sequence begins slower than SCG, SSCG(0) = 2, SSCG(1) = 5, but then grows rapidly. SSCG(2) = 3 × 2(3 × 295) − 8 ≈ 3.241704 × 1035775080127201286522908640065. Its first and last 20 digits are 32417042291246009846...34057047399148290040. SSCG(3) is much larger than both TREE(3) and TREETREE(3)(3), that is, the TREE function nested TREE(3) times with 3 at the bottom.
Adam P. Goucher claims there is no qualitative difference between the asymptotic growth rates of SSCG and SCG. He writes "It's clear that SCG(n) ≥ SSCG(n), but I can also prove SSCG(4n + 3) ≥ SCG(n)."
See also
Goodstein's theorem
Paris–Harrington theorem
Kanamori–McAloon theorem
Notes
References
Mathematical logic
Theorems in discrete mathematics
Order theory
Wellfoundedness
Graph theory |
https://en.wikipedia.org/wiki/SQLf | SQLf is a SQL extended with fuzzy set theory application for expressing flexible (fuzzy) queries to traditional (or ″Regular″) Relational Databases. Among the known extensions proposed to SQL, at the present time, this is the most complete, because it allows the use of diverse fuzzy elements in all the constructions of the language SQL.
SQLf is the only known proposal of flexible query system allowing linguistic quantification over set of rows in queries, achieved through the extension of SQL nesting and partitioning structures with fuzzy quantifiers. It also allows the use of quantifiers to qualify the quantity of search criteria satisfied by single rows. Several mechanisms are proposed for query evaluation, the most important being the one based on the derivation principle. This consists in deriving classic queries that produce, given a threshold t, a t-cut of the result of the fuzzy query, so that the additional processing cost of using a fuzzy language is diminished.
Basic block
The fundamental querying structure of SQLf is the multi-relational block. The conception of this structure is based on the three basic operations of the relational algebra: projection, cartesian product and selection, and the application of fuzzy sets’ concepts. The result of a SQLf query is a fuzzy set of rows that is a fuzzy relation instead of a regular relation.
A basic block in SQLf consists of a SELECT clause, a FROM clause and an optional WHERE clause. The semantic of this query structure is:
The SELECT clause corresponds to the projection. It specifies the relations’ attributes (or attribute expressions) that will be selected. The resulting table is a fuzzy set and it is given in decreasing ordered of satisfaction degree.
The SELECT clause specifies also a calibration that is intended to restrict the set of rows retrieved. There are two kinds of calibrations: quantitative and qualitative. In quantitative calibration the user specifies the number of results to be retrieved, so that the query will retrieve the rows with highest membership degrees up to the number of required answers. In qualitative calibration the user specifies a minim level of satisfaction that must have any retrieved row.
The FROM clause corresponds to the Cartesian Product. The consult is made on the Cartesian Product of the relations that are specified in this clause.
The WHERE clause corresponds to the selection. It specifies the condition for which the satisfaction degree will be calculated. Rows that do not satisfy at all the condition are rejected. This condition is a fuzzy predicate that may involve any attribute of the relations.
The following is an example of a SELECT query that returns a list of hotels that are cheap. The query retrieves all rows from the Hotels table that satisfice the fuzzy predicate cheap defined by the fuzzy set μ=(, , 25, 30). The result is sorted in descending order by the membership degree of the query.
SELECT name, address
FROM Hotels
WHERE p |
https://en.wikipedia.org/wiki/Ky%20Fan%20lemma | In mathematics, Ky Fan's lemma (KFL) is a combinatorial lemma about labellings of triangulations. It is a generalization of Tucker's lemma. It was proved by Ky Fan in 1952.
Definitions
KFL uses the following concepts.
: the closed n-dimensional ball.
: its boundary sphere.
T: a triangulation of .
T is called boundary antipodally symmetric if the subset of simplices of T which are in provides a triangulation of where if σ is a simplex then so is −σ.
L: a labeling of the vertices of T, which assigns to each vertex a non-zero integer: .
L is called boundary odd if for every vertex , .
An edge of T is called a complementary edge of L if the labels of its two endpoints have the same size and opposite signs, e.g. {−2, +2}.
An n-dimensional simplex of T is called an alternating simplex of T if its labels have different sizes with alternating signs, e.g.{−1, +2, −3} or {+3, −5, +7}.
Statement
Let T be a boundary-antipodally-symmetric triangulation of and L a boundary-odd labeling of T.
If L has no complementary edge, then L has an odd number of n-dimensional alternating simplices.
Corollary: Tucker's lemma
By definition, an n-dimensional alternating simplex must have labels with n + 1 different sizes.
This means that, if the labeling L uses only n different sizes (i.e. ), it cannot have an n-dimensional alternating simplex.
Hence, by KFL, L must have a complementary edge.
Proof
KFL can be proved constructively based on a path-based algorithm. The algorithm it starts at a certain point or edge of the triangulation, then goes from simplex to simplex according to prescribed rules, until it is not possible to proceed any more. It can be proved that the path must end in an alternating simplex.
The proof is by induction on n.
The basis is . In this case, is the interval and its boundary is the set . The labeling L is boundary-odd, so . Without loss of generality, assume that and . Start at −1 and go right. At some edge e, the labeling must change from negative to positive. Since L has no complementary edges, e must have a negative label and a positive label with a different size (e.g. −1 and +2); this means that e is a 1-dimensional alternating simplex. Moreover, if at any point the labeling changes again from positive to negative, then this change makes a second alternating simplex, and by the same reasoning as before there must be a third alternating simplex later. Hence, the number of alternating simplices is odd.
The following description illustrates the induction step for . In this case is a disc and its boundary is a circle. The labeling L is boundary-odd, so in particular for some point v on the boundary. Split the boundary circle to two semi-circles and treat each semi-circle as an interval. By the induction basis, this interval must have an alternating simplex, e.g. an edge with labels (+1,−2). Moreover, the number of such edges on both intervals is odd. Using the boundary criterion, on the boundary we have an odd number |
https://en.wikipedia.org/wiki/Zassenhaus%20algorithm | In mathematics, the Zassenhaus algorithm
is a method to calculate a basis for the intersection and sum of two subspaces of a vector space.
It is named after Hans Zassenhaus, but no publication of this algorithm by him is known. It is used in computer algebra systems.
Algorithm
Input
Let be a vector space and , two finite-dimensional subspaces of with the following spanning sets:
and
Finally, let be linearly independent vectors so that and can be written as
and
Output
The algorithm computes the base of the sum and a base of the intersection .
Algorithm
The algorithm creates the following block matrix of size :
Using elementary row operations, this matrix is transformed to the row echelon form. Then, it has the following shape:
Here, stands for arbitrary numbers, and the vectors
for every and for every are nonzero.
Then with
is a basis of
and with
is a basis of .
Proof of correctness
First, we define to be the projection to the first component.
Let
Then and
.
Also, is the kernel of , the projection restricted to .
Therefore, .
The Zassenhaus algorithm calculates a basis of . In the first columns of this matrix, there is a basis of .
The rows of the form (with ) are obviously in . Because the matrix is in row echelon form, they are also linearly independent.
All rows which are different from zero ( and ) are a basis of , so there are such s. Therefore, the s form a basis of .
Example
Consider the two subspaces and of the vector space .
Using the standard basis, we create the following matrix of dimension :
Using elementary row operations, we transform this matrix into the following matrix:
(Some entries have been replaced by "" because they are irrelevant to the result.)
Therefore
is a basis of , and
is a basis of .
See also
Gröbner basis
References
External links
Algorithms
Linear algebra |
https://en.wikipedia.org/wiki/Pietro%20Boselli | Pietro Boselli (born 3 December 1988) is an Italian model, engineer, and former mathematics postgraduate teaching assistant at University College London.
Biography
Boselli was born the first of four boys; he has three younger brothers.
Boselli was discovered at the age of six and began modelling for Armani Junior. He studied mechanical engineering at University College London, graduating with a first-class degree (BEng) in 2009 and a PhD in 2016.
Boselli is represented by British modelling agency Models 1. He has since been dubbed the "world’s sexiest maths teacher." As of June 2023, his Instagram account has 3.3 million followers.
Modeling
Boselli has been seen in American modeling campaigns for clothing retailer Abercrombie & Fitch and fitness club Equinox. He has also appeared in spreads for GQ Style and was featured on the cover of Attitude. He appeared on the cover of August 2020 GQ Italia using a lenticular cover which switched between his image and an image of Michelangelo's David. The magazine was successfully sued by the Galleria dell'Accademia which holds the statue for using a photo of the statue without their permission.
References
External links
1988 births
People from the Province of Verona
Italian male models
Living people
Alumni of University College London
Italian expatriates in the United Kingdom
21st-century Italian mathematicians
21st-century Italian engineers |
https://en.wikipedia.org/wiki/Jackknife%20variance%20estimates%20for%20random%20forest | In statistics, jackknife variance estimates for random forest are a way to estimate the variance in random forest models, in order to eliminate the bootstrap effects.
Jackknife variance estimates
The sampling variance of bagged learners is:
Jackknife estimates can be considered to eliminate the bootstrap effects. The jackknife variance estimator is defined as:
In some classification problems, when random forest is used to fit models, jackknife estimated variance
is defined as:
Here, denotes a decision tree after training, denotes the result based on samples without observation.
Examples
E-mail spam problem is a common classification problem, in this problem, 57 features are used to classify spam e-mail and non-spam e-mail. Applying IJ-U variance formula to evaluate the accuracy of models with m=15,19 and 57. The results shows in paper( Confidence Intervals for Random Forests: The jackknife and the Infinitesimal Jackknife ) that m = 57 random forest appears to be quite unstable, while predictions made by m=5 random forest appear to be quite stable, this results is corresponding to the evaluation made by error percentage, in which the accuracy of model with m=5 is high and m=57 is low.
Here, accuracy is measured by error rate, which is defined as:
Here N is also the number of samples, M is the number of classes, is the indicator function which equals 1 when observation is in class j, equals 0 when in other classes. No probability is considered here. There is another method which is similar to error rate to measure accuracy:
Here N is the number of samples, M is the number of classes, is the indicator function which equals 1 when observation is in class j, equals 0 when in other classes. is the predicted probability of observation in class .This method is used in Kaggle
These two methods are very similar.
Modification for bias
When using Monte Carlo MSEs for estimating and , a problem about the Monte Carlo bias should be considered, especially when n is large, the bias is getting large:
To eliminate this influence, bias-corrected modifications are suggested:
References
Classification algorithms |
https://en.wikipedia.org/wiki/Howard%20Masur | Howard Alan Masur is an American mathematician who works on topology, geometry, and combinatorial group theory.
Biography
Masur was an invited speaker at the 1994 International Congress of Mathematicians in Zürich. and is a fellow of the American Mathematical Society.
Along with Yair Minsky, Masur is one of the pioneers of the study of curve complex geometry. He also contributed to the understanding of the convergence of geodesic rays in Teichmüller theory.
Masur was a Ph.D. student of Albert Marden at the University of Minnesota-Minneapolis.
Awards and recognitions
The Hubbard–Masur theorem is named after Masur and John H. Hubbard. In 2009, a conference of mathematicians honored Masur's 60th birthday in France.
Selected papers
References
Fellows of the American Mathematical Society
University of Illinois Chicago faculty
University of Chicago faculty
University of Minnesota alumni
Geometers
Group theorists
Living people
20th-century American mathematicians
21st-century American mathematicians
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Women%27s%20Olympic%20football%20tournament%20records%20and%20statistics | This is a list of records and statistics of the football tournament in the Olympic games ever since the inaugural edition in 1996.
Medal table
Top scorers
All-time top scorers
The all-time top goalscorers with at least 5 goals (since 1996)
Top scorers by tournament
Winning coaches
Fair play award
General statistics by tournament
Teams: tournament position
Teams having equal quantities in the tables below are ordered by the tournament the quantity was attained in (the teams that attained the quantity first are listed first). If the quantity was attained by more than one team in the same tournament, these teams are ordered alphabetically.
Most titles won 4, (1996, 2004, 2008, 2012)
Most finishes in the top two 5, .
Most finishes in the top three 6, (all but 2016).
Most finishes in the top four 6, (all but 2016)
Most appearances 7, , , (all tournaments)
Consecutive
Most consecutive championships 3, (2004–2012).
Most consecutive finishes in the top two 5, (1996–2012).
Most consecutive finishes in the top three 5, (1996–2012).
Gaps
Longest gap between successive titles 8 years, (1996–2004).
Host team
Best finish by host team Champion: (1996).
Worst finish by host team 10th position: (2004).
Other
Most finishes in the top two without ever being champion 2, (2004, 2008), (2016, 2020).
Most finishes in the top three without ever being champion 2, (2004, 2008), (2016, 2020).
Most finishes in the top four without ever being champion 5, (1996, 2000, 2004, 2008, 2016).
Most finishes in the top four without ever finishing in the top two 1, (2012), (2020).
Coaches: tournament position
Most championships 2, Pia Sundhage (, 2008-2012).
Most finishes in the top two 3, Pia Sundhage (, 2008-2012; , 2016).
Most finishes in the top three 3, Pia Sundhage (, 2008-2012; , 2016).
Most finishes in the top four 3, Pia Sundhage (, 2008-2012; , 2016).
Teams: matches played and goals scored
All time
Source
Most matches played 38, .
Most wins 27, .
Most losses 12, .
Most draws 8, .
Most goals scored 76, .
Most hat-tricks scored 2, .
Most goals conceded 34, .
Fewest goals scored 0, .
Fewest goals conceded 7, .
Highest goal difference +40, .
Lowest goal difference -12, .
Highest average of goals scored per match 2.00, .
Highest average of goals conceded per match 5.00, .
Individual
Most tournaments played 7, Formiga (, 1996–2020).
Most medals 4, Christie Rampone (, 2000–2012).
Most matches played, finals 33, Formiga (, 1996–2016).
Most matches won 19, Christie Rampone (, 2000–2012).
Youngest player , Ellie Carpenter (), vs Zimbabwe, 9 August 2016.
Oldest player , Formiga (), vs Canada, 30 July 2021.
Goalscoring
Individual
Most goals scored, overall finals 14, Cristiane (), 2004–2016.
Most goals scored in a tournament 10, Vivianne Miedema (), 2020.
Most goals scored in a match 4, Birgit Prinz (), vs China, 2004; Vivianne Miedema () vs Zambia, 2020.
Most goals scored in a lost match 3, Christine Sinclai |
https://en.wikipedia.org/wiki/John%20Clements%20Davis | John Clements Davis (born October 21, 1938) is an American geologist best known for his research in the application of statistics to geology. He spent almost his entire professional career with the Kansas Geological Survey, being an Emeritus Scientist since 2003. He then served as Univ-Prof of Reservoir Characterization at the Montanuniversität in Leoben, Austria and is now Chief Geologist for Heinemann Oil GmbH in Austria.
Davis has been a member of several professional societies, most active in the International Association for Mathematical Geosciences, where he was Editor of the Newsletter (1973–1989), Western Treasurer (1972–1980), Secretary General (1980–1984), President (1984–1989) and Distinguished Lecturer (2002). The Association acknowledged his valuable contributions to the organization and science by presenting him with the Krumbein Medal. Davis also received the Haidinger Medal from the Geologische Bundesanstalt for his contributions to mathematical geology.
Education
Ph.D. in geology, University of Wyoming, 1967
M.S. in geology, University of Wyoming, 1963
B.S. in geology, University of Kansas, 1961
Books
John C. Davis (2002). Statistics and Data Analysis in Geology. Wiley & Sons, 3rd edition, 638 p.
John W. Harbaugh, John C. Davis, Johannes Wendebourg (1995). Computing Risk for Oil Prospects: Principles and Programs. Pergamon, 452 p.
John C. Davis, Ute C. Herzfeld, eds., (1993). Computers in Geology—25 Years of Progress. Oxford University Press, 298 p.
John W. Harbaugh, John C. Davis, John Doveton (1977). Probability Methods in Oil Exploration. John Wiley & Sons, 284 p.
John C. Davis, Michael J. McCullagh, eds., (1975). Display & Analysis of Spatial Data. Wiley & Sons, 378 p.
References
Living people
20th-century American geologists
University of Kansas alumni
University of Wyoming alumni
1938 births
People from Baldwin City, Kansas
People from Neodesha, Kansas
Scientists from Kansas
21st-century American geologists
Academic staff of the University of Leoben
American expatriates in Austria |
https://en.wikipedia.org/wiki/Andre%20G.%20Journel | André Georges Journel is a French American engineer who excelled in formulating and promoting geostatistics in the earth sciences and engineering, first from the Centre of Mathematical Morphology in Fontainebleau, France and later from Stanford University.
In 1998, Journel was elected a member of the National Academy of Engineering for the theory and practice of geostatistics in earth resources and environmental assessment.
Education
D.Sc., University of Nancy, Applied Mathematics, 1977
M.S2., University of Nancy, Doctor of Engineering, 1974
B.Sc., École Nationale Supérieure des Mines de Nancy, Nancy, Mining Engineering, 1967
Early professional career in France
André joined the Paris School of Mines research group at Fontainebleau, under the direction of Georges Matheron, as a Mining Project Engineer in 1969, moving to Head of Research four years later. He remained active primarily teaching courses, doing consulting work for mining companies around the world, and simultaneously formulating new methods often to solve pressing problems. From these days are his contributions to kriging with a trend and to stochastic simulation. The book with Charles Huijbregts is a culmination to his endeavors as mining geostatistician from his native country.
Second stage at Stanford University
Journel accepted a position as an assistant professor at the Department of Applied Earth Sciences in 1978. The physical relocation was shortly followed by a reorientation of his research from mining to petroleum engineering. He was promoted to full professor in 1986 and within the year appointed chairman of the department, serving for a period of six years. He was the mentor of several generations of students and enthusiastic promoter of joint research with industry through the Stanford Center for Reservoir Forecasting that he founded also in 1986, remaining as its Director until 2007. Among his numerous research interest and accomplishments, it is worth mentioning his contributions to non-parametric geostatistics, non-Gaussian geostatistics, training-image based simulation and probabilistic data integration. André has been an Emeritus Professor since 2010.
Awards and honors
André's accomplishments made him the recipient of prestigious awards, including the William Christian Krumbein Medal from the International Association for Mathematical Geosciences (1989), the Stanford University School of Earth Sciences Teaching Award (1995), and the Lucas Gold Medal from the Society of Petroleum Engineers (1998). Most notable honors are his appointment as Director of the NATO Institute of Geostatistics (1983); selection as the Keynote Speaker at the 23rd APCOM Congress (1992), Geostatistics for the Next Century Symposium (1993) and the Fifth International Geostatistics Congress (1996), promotion to the Donald and Donald M. Steel Professor of Earth Sciences at Stanford University (1994); and election as member of the National Academy of Engineering (1998).
Books
Clayton |
https://en.wikipedia.org/wiki/Aad%20van%20der%20Vaart | Adrianus Willem "Aad" van der Vaart (born 12 July 1959) is a Dutch professor of Stochastics at the Delft Institute of Applied Mathematics at Delft University of Technology.
Education and career
Van der Vaart was born in Vlaardingen. He earned his PhD at Leiden University in 1987 with a thesis titled: "Statistical estimation in large parameter spaces" under the supervision of Willem van Zwet. He became a professor at the Vrije Universiteit Amsterdam in 1997. He was appointed as professor of Stochastics at Leiden University in 2012. In 2021 he moved to the Technical University of Delft.
Honours
Van der Vaart was elected a member of the Royal Netherlands Academy of Arts and Sciences in 2009. In 2010 he was an Invited Speaker at the International Congress of Mathematicians in Hyderabad, India. He was the recipient of a European Research Council Advanced Grant in 2012. In 2015 he was one of four winners of the Dutch Spinoza Prize and received a 2.5 million euro grant. He was awarded the prize for his research on mathematical models that help track genes for cancer research. On being awarded the prize Van der Vaart stated that 2.5 million euro was too much, claiming he could have 35 postdoctoral and Ph.D. students work with the grant.
In June 2019 van der Vaart was made a Knight of the Order of the Netherlands Lion.
Bibliography
References
External links
Profile at Leiden University
1959 births
Living people
Dutch statisticians
Knights of the Order of the Netherlands Lion
Leiden University alumni
Academic staff of Leiden University
Members of the Royal Netherlands Academy of Arts and Sciences
People from Vlaardingen
Spinoza Prize winners
Academic staff of Vrije Universiteit Amsterdam
Mathematical statisticians
Academic staff of the Delft University of Technology
Bayesian statisticians |
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