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https://en.wikipedia.org/wiki/Gustav%20Grubbe | Gustav Grubbe Madsen (born 27 January 2003) is a Danish footballer currently playing as a right-back for OB.
Career statistics
Club
Notes
References
2003 births
Living people
Danish men's footballers
Danish expatriate men's footballers
Denmark men's youth international footballers
Denmark men's under-21 international footballers
Men's association football defenders
Danish Superliga players
Odense Boldklub players
RB Leipzig players
Danish expatriate sportspeople in Germany
Expatriate men's footballers in Germany |
https://en.wikipedia.org/wiki/Giannis%20Fakkis | Giannis Fakkis (; born 14 April 2001) is a Greek professional footballer who plays as a forward for Super League 2 club Thesprotos.
Career statistics
Club
Notes
References
External links
Giannis Fakkis at xanthifc.gr
2001 births
Living people
Greek men's footballers
Greece men's youth international footballers
Men's association football forwards
Xanthi F.C. players
Footballers from Serres |
https://en.wikipedia.org/wiki/Nikos%20Masouras | Nikos Masouras (; born 15 June 2001) is a Greek professional footballer who plays as a left winger.
Career statistics
Club
Notes
References
2001 births
Living people
Greek men's footballers
Greece men's youth international footballers
Men's association football midfielders
Panachaiki F.C. players
Footballers from Preveza |
https://en.wikipedia.org/wiki/Wallison | Wallison Nunes Silva (born 24 June 2001), commonly known as Wallison, is a Brazilian footballer who currently plays for Botafogo B, on loan from Red Bull Brasil.
Career statistics
Club
Notes
References
2001 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football defenders
2. Liga (Austria) players
Red Bull Bragantino II players
FC Liefering players
Brazilian expatriate sportspeople in Austria
Expatriate men's footballers in Austria
Footballers from São Paulo
Athletic Club (MG) players |
https://en.wikipedia.org/wiki/Milnor%E2%80%93Wood%20inequality | In mathematics, more specifically in differential geometry and geometric topology, the Milnor–Wood inequality is an obstruction to endow circle bundles over surfaces with a flat structure. It is named after John Milnor and John W. Wood.
Flat bundles
For linear bundles, flatness is defined as the vanishing of the curvature form of an associated connection. An arbitrary smooth (or topological) d-dimensional fiber bundle is flat if it can be endowed with a foliation of codimension d that is transverse to the fibers.
The inequality
The Milnor–Wood inequality is named after two separate results that were proven by John Milnor and John W. Wood. Both of them deal with orientable circle bundles over a closed oriented surface of positive genus g.
Theorem (Milnor, 1958) Let be a flat oriented linear circle bundle. Then the Euler number of the bundle satisfies .
Theorem (Wood, 1971) Let be a flat oriented topological circle bundle. Then the Euler number of the bundle satisfies .
Wood's theorem implies Milnor's older result, as the homomorphism classifying the linear flat circle bundle gives rise to a topological circle bundle via the 2-fold covering map , doubling the Euler number.
Either of these two statements can be meant by referring to the Milnor–Wood inequality.
References
Differential geometry
Geometric topology |
https://en.wikipedia.org/wiki/Markov%20constant | In number theory, specifically in Diophantine approximation theory, the Markov constant of an irrational number is the factor for which Dirichlet's approximation theorem can be improved for .
History and motivation
Certain numbers can be approximated well by certain rationals; specifically, the convergents of the continued fraction are the best approximations by rational numbers having denominators less than a certain bound. For example, the approximation is the best rational approximation among rational numbers with denominator up to 56. Also, some numbers can be approximated more readily than others. Dirichlet proved in 1840 that the least readily approximable numbers are the rational numbers, in the sense that for every irrational number there exists infinitely many rational numbers approximating it to a certain degree of accuracy that only finitely many such rational approximations exist for rational numbers . Specifically, he proved that for any number there are infinitely many pairs of relatively prime numbers such that if and only if is irrational.
51 years later, Hurwitz further improved Dirichlet's approximation theorem by a factor of , improving the right-hand side from to for irrational numbers:
The above result is best possible since the golden ratio is irrational but if we replace by any larger number in the above expression then we will only be able to find finitely many rational numbers that satisfy the inequality for .
Furthermore, he showed that among the irrational numbers, the least readily approximable numbers are those of the form where is the golden ratio, and . (These numbers are said to be equivalent to .) If we omit these numbers, just as we omitted the rational numbers in Dirichlet's theorem, then we can increase the number to 2. Again this new bound is best possible in the new setting, but this time the number , and numbers equivalent to it, limits the bound. If we don't allow those numbers then we can again increase the number on the right hand side of the inequality from 2 to /5, for which the numbers equivalent to limits the bound. The numbers generated show how well these numbers can be approximated, this can be seen as a property of the real numbers.
However, instead of considering Hurwitz's theorem (and the extensions mentioned above) as a property of the real numbers except certain special numbers, we can consider it as a property of each excluded number. Thus, the theorem can be interpreted as "numbers equivalent to , or are among the least readily approximable irrational numbers." This leads us to consider how accurately each number can be approximated by rationals - specifically, by how much can the factor in Dirichlet's approximation theorem be increased to from 1 for that specific number.
Definition
Mathematically, the Markov constant of irrational is defined as . If the set does not have an upper bound we define .
Alternatively, it can be defined as where is defined as th |
https://en.wikipedia.org/wiki/Erhard%20Scholz | Erhard Scholz (born 1947) is a German historian of mathematics with interests in the history of mathematics in the 19th and 20th centuries, historical perspective on the philosophy of mathematics and science, and Hermann Weyl's geometrical methods applied to gravitational theory.
Education and career
Scholz studied mathematics at the University of Bonn and the University of Warwick from 1968 to 1975 with Diplom from the University of Bonn in 1975. In 1979, he completed his doctorate (Promotion) at the University of Bonn with thesis Entwicklung des Mannigfaltigkeitsbegriffs von Riemann bis Poincaré (Development of the concept of manifold from Riemann to Poincaré) under the supervision of Egbert Brieskorn and Henk J. M. Bos. In 1986, Scholtz habilitated at the University of Wuppertal. There he became in 1989 an associate professor of the history of mathematics and retired in 2012. He also works at the University of Wuppertal's Interdisziplinären Zentrum für Wissenschafts- und Technikforschung (IZWT, Interdisciplinary Center for Science and Technology Research), which he co-founded in 2004. In 1993, he was a visiting professor at the Institut für Wissenschaftsgeschichte (Institute for the History of Science) at the University of Göttingen.
Scholz's research deals with the emergence of the manifold concept developed by Riemann, Poincaré and others, as well as the historical relations of mathematics to its applications in the 19th century. Scholz has investigated Karl Culmann's graphic statics, the determination of the crystallographic space group by Evgraf Fedorov, the applied mathematics of Hermann Grassmann, and the relation of Gauss's ideas on non-Euclidean geometry to his geodetic work. Continuing these investigations into the beginnings of group theory and concept of a mathematical manifold, Scholz has dealt intensively with Hermann Weyl's work in connection with general relativity theory, cosmology, gauge theory, and quantum mechanics and, especially, Weyl metrics in cosmology. Scholz wrote an article on Oswald Teichmüller for the Dictionary of Scientific Biography and an article, with Norbert Schappacher, in the Jahresberich (annual report) of the Deutsche Mathematiker Vereinigung (DMV). Scholz also pursued connections between the history of mathematics and philosophy, such as the historical and philosophical relations of Riemann's work to that of Johann Friedrich Herbart, of 19th-century crystallography to the work of Schelling, and of Hermann Weyl's philosophy of mathematics to the work of Leibniz.
Scholz was an invited speaker of the International Congress of Mathematicians in 1994 in Zürich. He is a co-editor, with Friedrich Hirzebruch, Reinhold Remmert, Walter Purkert, and Egbert Brieskorn, of the collected works of Felix Hausdorff. Scholz was awarded the London Mathematical Society's Hirst Prize and Lectureship in 2023.
Selected publications
as editor: Geschichte der Algebra, Bibliographisches Institut, Mannheim 1990
as editor: |
https://en.wikipedia.org/wiki/Mark%20Giesbrecht | Mark Giesbrecht is a Canadian computer scientist who is the 12th dean of the University of Waterloo’s Faculty of Mathematics, starting from July 1, 2020. He was the Director of the David R. Cheriton School of Computer Science at the University of Waterloo, Canada from July 2014 until June 2020.
Biography
Giesbrecht earned a PhD in computer science at the University of Toronto in 1993, under the supervision of Joachim von zur Gathen. He has been a professor at the University of Waterloo since 2001, following positions at the University of Manitoba (1994–98) and University of Western Ontario (1998–2001), as well as IBM Canada Ltd. (1991–93). He was the Director of the David R. Cheriton School of Computer Science at Waterloo from July 2014 until June 2020. On July 1, 2020, he became the Dean of the Faculty of Mathematics at the University of Waterloo.
Research
Giesbrecht’s research is in computer algebra, where he has proved a number of fundamental results, including on the complexity of computing matrix normal forms, solving sparse diophantine linear systems, and non-commutative polynomial algebra. More recently he has been on the forefront of an optimization approach to symbolic-numeric algorithms for matrix polynomials.
Awards
As a member of the Cheriton School of Computer Science's Symbolic Computation Group, Giesbrecht shared the 2004 NSERC Synergy prize for innovation under the prize's small- and medium-sized companies category. In 2012 he was named an ACM Distinguished Scientist.
Notes
Canadian computer scientists
Academic staff of the University of Waterloo
Living people
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Eff%20%28programming%20language%29 | Eff is a functional programming language similar in syntax to OCaml which integrates the functionality of algebraic effect handlers.
References
Programming languages created in 2012
OCaml programming language family
Functional languages |
https://en.wikipedia.org/wiki/Categorical%20trace | In category theory, a branch of mathematics, the categorical trace is a generalization of the trace of a matrix.
Definition
The trace is defined in the context of a symmetric monoidal category C, i.e., a category equipped with a suitable notion of a product . (The notation reflects that the product is, in many cases, a kind of a tensor product.) An object X in such a category C is called dualizable if there is another object playing the role of a dual object of X. In this situation, the trace of a morphism is defined as the composition of the following morphisms:
where 1 is the monoidal unit and the extremal morphisms are the coevaluation and evaluation, which are part of the definition of dualizable objects.
The same definition applies, to great effect, also when C is a symmetric monoidal ∞-category.
Examples
If C is the category of vector spaces over a fixed field k, the dualizable objects are precisely the finite-dimensional vector spaces, and the trace in the sense above is the morphism
which is the multiplication by the trace of the endomorphism f in the usual sense of linear algebra.
If C is the ∞-category of chain complexes of modules (over a fixed commutative ring R), dualizable objects V in C are precisely the perfect complexes. The trace in this setting captures, for example, the Euler characteristic, which is the alternating sum of the ranks of its terms:
Further applications
have used categorical trace methods to prove an algebro-geometric version of the Atiyah–Bott fixed point formula, an extension of the Lefschetz fixed point formula.
References
Category theory
Fixed-point theorems
Geometry |
https://en.wikipedia.org/wiki/Andr%C3%A9%20Sentenac | Georges André Sentenac (born 4 May 1939) is a French molecular biologist specializing in gene transcription.
Married to Pierrette Balse, professor of mathematics at the University of Orsay, they had three children, all scientists, Anne, Marion and Daniel.
Biography
He was elected correspondent of the French Academy of sciences in 1999 and then a member of the Institute in 2007.
Scientific career
During his postdoctoral internship in Dr. George Acs' laboratory in New York City, Sentenac addresses the regulation of gene expression by showing that appropriate hormonal treatment forces a young male cockerel to produce certain specific components of the egg. Back in France, to bypass the complexity of higher organisms, he chose to work on the yeast Saccharomyces cerevisiae. In the following years, this yeast will become an essential study model in the molecular genetics of eukaryotic cells.
First, he isolated and identified the essential components of the molecular machinery responsible for gene transcription in yeast. He gave the first complete description of the three forms of nuclear RNA polymerases which are composed of the assembly of many subunits with various functions. Focusing his efforts on the transcription of the large family of class III genes encoding tRNAs, 5S RNA and other small RNAs, he isolated the general transcription factors TFIIIC and TFIIIB and described the cascade of protein-DNA and protein-protein interaction leading to the recruitment of RNA polymerase III on DNA and the initiation of transcription. A total of 26 proteins are dedicated to the transcription of class III genes. In particular, it shows that the TFIIIC factor consists of two protein modules capable of binding to two distinct promoter elements spaced differently according to genes, of lifting chromatin repression and of recruiting TFIIIB.
Awards and honours
1969, Maurice Nicloux Prize of the French Society of Biochemistry
1977, Paul Doisteau-Emile Blutel Prize from the Academy of Sciences
1985, Elected Member of EMBO
1987, CNRS Silver Medal
1997, Charles-Léopold Mayer Grand Prize of the French Academy of sciences
1999, Member of the Academia Europaea
1999, Correspondent of the French Academy of sciences
1999-2004, Member of the EMBO Council
2007, Member of the French Academy of sciences
2012, Commander in the Ordre des Palmes Académiques
2018, Officer in the Ordre de la Légion d'Honneur
More representative publications
Sentenac, A. Eukaryotic RNA polymerases. CRC Crit. Rev. Biochem. (1985) 18: 31-90
Marzouki, N., CaMier, S., Ruet, A, Moenne, A, and Sentenac, A. Selective proteolysis defines two DNA binding domains in yeast transcription factor τ. Nature (1986) 323: 176-178
Margottin, F., Dujardin, G., Gérard, M., Égly, J.-M., Huet, J. and Sentenac, A. Participation of the TATA factor in transcription of the yeast U6 gene by RNA polymerase C. Science (1991) 251: 424-426
Burnol, A-F., Margottin, F., Huet, J., Almouzni, G., Prioleau, M.-N., Méchali, M., |
https://en.wikipedia.org/wiki/TS%20Broderick | TS "Stan" Broderick (22 May 1893 – 4 April 1962) was an Irish mathematician and academic who served as Erasmus Smith's Professor of Mathematics (1944-1962) at Trinity College Dublin (TCD). He was father of Irish academic Edna Longley.
Life and career
Timothy Stanislaus Broderick was born in Youghal, Cork. He studied mathematics at University College Cork (BA 1913, MA 1916) where he won a National University of Ireland Travelling Studentship Prize in 1916. He then went to TCD where he was a mathematics Scholar (1917) and got a BA in Mathematical and Experimental Physics (1918). After teaching for a few years in Exeter in England, he was appointed to the staff at TCD, serving as Donegall Lecturer (1926-1943) and then Erasmus Smith's Professor of Mathematics (1944-1962). In 1930 he became a Fellow of TCD, in 1958 a Senior Fellow, and in 1959 acting Vice Provost.
Selected papers
Broderick, T. S.; Schrödinger, E. Boolean algebra and probability theory. Proc. Roy. Irish Acad. Sect. A 46, (1940). 103–112.
Broderick, T. S.; On proving certain properties of the primes by means of the methods of pure number theory. Proc. Roy. Irish Acad. Sect. A 46, (1940). 17–24.
Broderick, T. S.; On obtaining an estimate of the frequency of the primes by means of the elementary properties of the integers. J. London Math. Soc. 14 (1939). 303–310.
References
Alumni of Trinity College Dublin
Donegall Lecturers of Mathematics at Trinity College Dublin
Fellows of Trinity College Dublin
Scholars of Trinity College Dublin
20th-century Irish mathematicians
People from Youghal
1893 births
1962 deaths
Scientists from County Cork
Alumni of University College Cork |
https://en.wikipedia.org/wiki/Mikael%20R%C3%B8rdam | Mikael Rørdam (born 7 January 1959, Copenhagen) is a Danish mathematician, specializing in the theory of operator algebras and its applications.
Education and career
Rørdam graduated with master's degree from the University of Copenhagen in 1984. He received his PhD from the University of Pennsylvania with thesis The theory of unitary rank and regular approximation under the supervision of Richard Kadison. In the spring of 1988 Rørdam was a postdoc at the University of Toronto. At Odense University he was an Adjunkt (assistant professor) from 1988 to 1991 and a Lektor (associate professor) from 1991 to 1997. He was a Lektor at the University of Copenhagen from 1998 to 2002 and full professor from 2002 to 2007 at the University of Southern Denmark. Since 2008 he is a full professor at the University of Copenhagen.
Rørdam was elected a member of the Royal Danish Academy of Sciences and Letters in 2004. He was an invited speaker of the International Congress of Mathematicians in 2006 in Madrid. He was a member of the board of the Mittag-Leffler Institute from 2010 to 2016. He was a plenary speaker at the International Workshop on Operator Theory and its Applications (IWOTA) in 2018 in Shanghai.
Selected publications
Articles
2004
Books
References
1959 births
Living people
Danish mathematicians
Members of the Royal Danish Academy of Sciences and Letters
University of Copenhagen alumni
University of Pennsylvania alumni
Academic staff of the University of Southern Denmark
Academic staff of the University of Copenhagen |
https://en.wikipedia.org/wiki/Brian%20H.%20Murdoch | Brian Hughes Murdoch (3 April 1930 – 9 December 2020) was an Irish mathematician who served for 23 years as Erasmus Smith's Professor of Mathematics at Trinity College Dublin (TCD). He was an analyst with expertise in potential functions and random walks.
Career
Born in Worcestershire in England in 1930, Brian Hughes Murdoch grew up in Dublin. He attended Trinity College Dublin, where he won a scholarship in mathematics in 1948. He obtained his BA in mathematics in 1951. In 1955, he got his PhD at Princeton under William Feller, for a thesis on “Preharmonic Functions.” After a couple of years teaching at Hull University in Kingston upon Hull and Queen's University Belfast, he returned to TCD, where he taught for another 35 years. He was elected Fellow of TCD in 1965, and the following year he was appointed Erasmus Smith's Professor of Mathematics at TCD, a position he held until he retired in 1989. In 1988 he became a Senior Fellow.
A Quaker, he was a second cousin of the author Iris Murdoch.
He died on 9 December 2020.
Selected papers
Murdoch, B. H. Simple tests for recurrence or transience of infinite sets in random walks on groups. Illinois J. Math. 12 (1968), 439–450.
Murdoch, B. H. Wiener's tests for atomic Markov chains. Illinois J. Math. 12 (1968), 35–56.
Murdoch, B. H. μ-distributed sequences. Proc. Roy. Irish Acad. Sect. A 64 (1966), 143–161.
Murdoch, B. H. Rates of growth of preharmonic functions. J. London Math. Soc. 40 (1965), 605–618.
Murdoch, B. H. Some theorems on preharmonic functions. J. London Math. Soc. 40 (1965), 407–417.
Murdoch, B. H. A note on well-distributed sequences. Canadian J. Math. 17 (1965), 808–810.
Murdoch, B. H. A theorem on harmonic functions. J. London Math. Soc. 39 (1964), 581–588.
Murdoch, Brian Hughes PREHARMONIC FUNCTIONS. Thesis (Ph.D.)–Princeton University (1954).
Allen, A. C.; Murdoch, B. H. A note on preharmonic functions. Proc. Amer. Math. Soc. 4 (1953), 842–852.
References
Alumni of Trinity College Dublin
Fellows of Trinity College Dublin
Scholars of Trinity College Dublin
1930 births
2020 deaths
20th-century Irish mathematicians
Scientists from County Dublin |
https://en.wikipedia.org/wiki/Cartan%E2%80%93Hadamard%20conjecture | In mathematics, the Cartan–Hadamard conjecture is a fundamental problem in Riemannian geometry and Geometric measure theory which states that the classical isoperimetric inequality may be generalized to spaces of nonpositive sectional curvature, known as Cartan–Hadamard manifolds. The conjecture, which is named after French mathematicians Élie Cartan and Jacques Hadamard, may be traced back to work of André Weil in 1926.
Informally, the conjecture states that negative curvature allows regions with a given perimeter to hold more
volume. This phenomenon manifests itself in nature through corrugations on coral reefs, or ripples on a petunia flower, which form some of the simplest examples of non-positively curved spaces.
History
The conjecture, in all dimensions, was first stated explicitly in 1976 by Thierry Aubin, and a few years later by Misha Gromov, Yuri Burago and
Viktor Zalgaller. In dimension 2 this fact had already been established in 1926 by André Weil and rediscovered in 1933 by Beckenbach and Rado. In dimensions 3 and 4 the conjecture was proved by Bruce Kleiner in 1992, and Chris Croke in 1984 respectively.
According to Marcel Berger, Weil, who was a student of Hadamard at the time, was prompted to work on this problem due to "a question asked during or after a Hadamard seminar at the Collège de France" by the probability theorist Paul Lévy.
Weil's proof relies on conformal maps and harmonic analysis, Croke's proof is based on an inequality of Santaló in integral geometry, while Kleiner adopts a variational approach which reduces the problem to an estimate for total curvature. Mohammad Ghomi and Joel Spruck have shown that Kleiner's approach will work in all dimensions where the total curvature inequality holds.
Generalized form
The conjecture has a more general form, sometimes called the "generalized Cartan–Hadamard conjecture" which states that if the curvature of the ambient Cartan–Hadamard manifold M is bounded above by a nonpositive constant k, then the least perimeter enclosures in M, for any given volume, cannot have smaller perimeter than a sphere enclosing the same volume
in the model space of constant curvature k.
The generalized conjecture has been established only in dimension 2 by Gerrit Bol, and dimension 3 by Kleiner. The generalized conjecture also holds for regions of small volume in all dimensions, as proved by Frank Morgan and David Johnson.
Applications
Immediate applications of the conjecture include extensions of the Sobolev inequality and Rayleigh–Faber–Krahn inequality to spaces of nonpositive curvature.
References
Riemannian geometry
Measure theory
Conjectures |
https://en.wikipedia.org/wiki/Slamet%20Budiyono | Slamet Budiyono (born 15 May 1995), is an Indonesian professional footballer who plays as a winger for Liga 2 club PSKC Cimahi.
Career statistics
Club
Honours
Club
PSS Sleman
Liga 2: 2018
Dewa United
Liga 2 third place (play-offs): 2021
Individual
Liga 2 Best XI: 2021
References
External links
Slamet Budiyono at Liga Indonesia
1995 births
Living people
Indonesian men's footballers
Men's association football forwards
Sriwijaya F.C. players
PSS Sleman players
Persis Solo players
PSIM Yogyakarta players
Dewa United F.C. players
PS Barito Putera players
PSKC Cimahi players
Sportspeople from South Sumatra
Liga 1 (Indonesia) players
Liga 2 (Indonesia) players
21st-century Indonesian people |
https://en.wikipedia.org/wiki/Amran%20Al-Jassasi | Amran Al-Jassasi (born 11 March 1996), is an Omani professional footballer who plays for Emirates as a full back.
Career statistics
Club
Notes
References
1996 births
Living people
Omani men's footballers
Omani expatriate men's footballers
Men's association football fullbacks
A Lyga players
UAE Pro League players
Khor Fakkan Club players
Al Jazira Club players
Al Ain FC players
FC Stumbras players
Sharjah FC players
Al Dhafra FC players
Al-Nasr SC (Dubai) players
Emirates Club players
Omani expatriate sportspeople in Lithuania
Expatriate men's footballers in Lithuania
Omani expatriate sportspeople in the United Arab Emirates
Expatriate men's footballers in the United Arab Emirates |
https://en.wikipedia.org/wiki/Fabian%20%28footballer%29 | Fabian Maria Lago Vilela de Abreu (born 24 October 1997), commonly known as Fabian, is a Brazilian footballer who plays as a defender.
Career statistics
Club
Notes
References
1997 births
Footballers from Rio de Janeiro (city)
Living people
Brazilian men's footballers
Men's association football defenders
Avaí FC players
Rio Branco Atlético Clube players
FC Dordrecht players
IF Gnistan players
Eerste Divisie players
Ykkönen players
Brazilian expatriate men's footballers
Expatriate men's footballers in the Netherlands
Brazilian expatriate sportspeople in the Netherlands
Expatriate men's footballers in Finland
Brazilian expatriate sportspeople in Finland |
https://en.wikipedia.org/wiki/David%20Meyre | David Meyre is an associate professor in the Department of Clinical Epidemiology and Biostatistics at McMaster University, where he is also a Canada Research Chair in Genetics of Obesity. From September 2020, he starts teaching Molecular Biology in Nancy, France.
References
External links
Faculty page
Living people
Academic staff of McMaster University
Canadian geneticists
Obesity researchers
Human geneticists
Canada Research Chairs
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/J%C3%BCrgen%20G%C3%A4rtner | Jürgen Gärtner (born 1950 in Reichenbach, Oberlausitz) is a German mathematician, specializing in probability theory and analysis.
Gärtner graduated in 1973 with Diplom from TU Dresden. He received in 1976 his Ph.D. from Lomonosov University under the supervision of Mark Freidlin. At the Weierstrass Institute, Gärtner was from 1976 to 1985 a research associate; he habilitated there in 1984 with Dissertation B: Zur Ausbreitung von Wellenfronten für Reaktions-Diffusions-Gleichungen (The propagation of wave fronts for reaction-diffusion equations). At the Weierstrass Institute he was from 1985 to 1995 the head of the probability group. He was a professor of the Academy of Sciences of the GDR from 1988 until its disbandment in late 1991. At TU Berlin he was from 1992 to 2011 a professor, retiring as professor emeritus in 2011.
In 1977 he proved a general form of Cramér's Theorem in the theory of large deviations (LD); the theorem is known as the Gärtner-Ellis Large Deviations Principle (LDP). (Richard S. Ellis proved the theorem in 1984 with weaker premises.) In 1982 Gärtner wrote an important paper on the famous KPP equation (a semi-linear diffusion equation introduced in 1937). In 1987 Gärtner, with Donald A. Dawson, introduced the construction of a projective limit in the LDP. From 1987 to 1989 Gärtner and Dawson wrote a series of important papers on the McKean-Vlasov process. Their results were extended by other mathematicians in the 1990s to random mean-field interactions and to spin-glass mean-field interactions. In 1990 Gärtner and Molchanov wrote a seminal paper on intermittency in the parabolic Anderson model; the paper introduced a new approach to intermittency via the study of Lyapunov coefficients.
Gärtner was a member from 1984 to 1992 of the editorial board of Probability Theory and Related Fields and from 1990 to 2000 of the editorial board of Mathematische Nachrichten.
In 1992 Gärtner was an invited lecturer at the first European Congress of Mathematics in Paris. In 1994 he was an invited speaker with talk Parabolic Systems in Random Media and Aspects of Intermittency at the International Congress of Mathematicians in Zurich. A conference was held in honor of his 60th birthday.
Selected publications
See also
Dawson–Gärtner theorem
Mean-field particle methods
References
1950 births
Living people
20th-century German mathematicians
21st-century German mathematicians
Probability theorists
TU Dresden alumni
Moscow State University alumni
Academic staff of the Technical University of Berlin |
https://en.wikipedia.org/wiki/Yang%20Seong-hwan | Yang Seong-hwan (; born 9 September 1994) is a Korean footballer plays as a right-back.
Career statistics
Club
Notes
References
1994 births
Living people
South Korean men's footballers
South Korean expatriate men's footballers
Men's association football defenders
Liga Portugal 2 players
K4 League players
Gangwon FC players
Vitória F.C. players
Académico de Viseu F.C. players
South Korean expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal |
https://en.wikipedia.org/wiki/Johnatan%20Cardoso | Johnatan Cardoso Dias (born 16 April 1997) is a Brazilian footballer who plays as a forward for Manaus.
Career statistics
Club
Notes
References
1997 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
Liga Portugal 2 players
Trindade Atlético Clube players
Grêmio Esportivo Anápolis players
Iporá Esporte Clube players
Académico de Viseu F.C. players
Associação Atlética Aparecidense players
Vila Nova Futebol Clube players
Manaus Futebol Clube players
Expatriate men's footballers in Portugal
Brazilian expatriate sportspeople in Portugal |
https://en.wikipedia.org/wiki/Yoshiaki%20Kikuchi | is a Japanese professional footballer who plays as a midfielder for Finnish club JIPPO.
Career
On 30 March 2023, Kikuchi joined JIPPO in the Finnish third-tier Kakkonen.
Career statistics
Club
Notes
References
1995 births
Association football people from Miyazaki Prefecture
Living people
Japanese men's footballers
Men's association football defenders
FC Hennef 05 players
Leixões S.C. players
GD Bragança players
C.F. Estrela da Amadora players
IF Gnistan players
JIPPO players
Japan Football League players
Liga Portugal 2 players
Campeonato de Portugal (league) players
Ykkönen players
Japanese expatriate men's footballers
Japanese expatriate sportspeople in Germany
Expatriate men's footballers in Germany
Japanese expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
Japanese expatriate sportspeople in Finland
Expatriate men's footballers in Finland |
https://en.wikipedia.org/wiki/Jin%20Guangzhu | Jin Guangzhu () is a former Chinese footballer who played as a defender for the China national football team.
Career statistics
Club
Notes
International
References
1968 births
Living people
Chinese men's footballers
China men's international footballers
Men's association football defenders
Yanbian Funde F.C. players
Guangzhou F.C. players
Asian Games silver medalists for China
Medalists at the 1994 Asian Games
Asian Games medalists in football
Footballers at the 1994 Asian Games |
https://en.wikipedia.org/wiki/1924%E2%80%9325%20Rochdale%20A.F.C.%20season | The 1924–25 season saw Rochdale compete for their 4th season in the Football League Third Division North.
Statistics
|}
Final league table
Competitions
Football League Third Division North
FA Cup
Lancashire Cup
Manchester Cup
References
Rochdale A.F.C. seasons
Rochdale |
https://en.wikipedia.org/wiki/Li%20Hongjun | Li Hongjun () is a former Chinese footballer who played as a defender for the China national football team.
Career statistics
Club
Notes
International
References
1970 births
Living people
Chinese men's footballers
China men's international footballers
Men's association football defenders
Yanbian Funde F.C. players
Beijing Guoan F.C. players
Chengdu Tiancheng F.C. players |
https://en.wikipedia.org/wiki/Tellus%2C%20Ljungby | {
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}Tellus is one of central Ljungby's oldest city blocks and was spared by the fire of 1953. It is bounded by Smedjegatan in north, Kungsgatan in east, Stationsgatan in south, and Föreningsgatan in west. To the west lies also the plaza Stora Torg, and across is block Minerva with the Terraza building.
Tellushuset
Tellushuset, or The Tellus Building in English, is a three story tall residential and retail building in the south-western corner along Storgatan and Föreningsgatan, it is also met by the street Stationsgatan from south-west, and is one of the few remaining buildings from Ljungby's market town period. It was finished in 1906 after the former wooden building with Peter Adam Johansson shoe factory burnt down 1904. Tellushuset is constructed with bricks from one of Ljungby's two brickyards, dressed in pink plaster with a base and decorations in brown-red bricks, adorned with a patina coated copper roof with an onion dome, and verdigris windows.
Tellushuset was designed by architect Aron Johansson, raised in Ryssby outside Ljungby, who also designed the national parliament building Riksdagshuset and then central bank building Riksbankshuset on the island Helgeandsholmen in Stockholm. It is also likely that Aron Johansson designed Tellushuset's one story shorter twin-sister Fogelbergska huset, that stood finished 1910 and lay diagonally across the plaza Stora Torg on city block Månen. According to the artist and former rector of the Royal Swedish Academy of Fine Arts and the Royal Institute of Art, Sven Ljungberg, the two buildings contributed the impression of being in a Russian city, especially wintertime.
Plans for demolition
While both Tellushuset and its sister Fogelbergska survived the fire of 1953, they were about to be demolished to give room to the newly planned modern metropolitan city centre. The Månen block with Fogelbergska was demolished already in 1963 and was replaced by an EPA department store. After that, it was Tellus and Tellushuset's turn. The whole blo |
https://en.wikipedia.org/wiki/Jean%20Lannes%20%28mathematician%29 | Jean E. Lannes (born 21 September 1947 in Pauligne) is a French mathematician, specializing in algebraic topology and homotopy theory.
Lannes completed his secondary studies at the Lycée Louis-le-Grand in Paris and graduated in 1966 from the École Normale Supérieure. He received his doctorate in 1975 from the University of Paris-Saclay (Paris 12). Afterwards he was a professor there and at the Paris Diderot University (Paris 7). In 2009 he became a professor at the École polytechnique and Directeur des recherches at the Centre de mathématiques Laurent-Schwartz (CMLS); he is now professor emeritus. He was a visiting scholar at several academic institutions, including the Institute for Advanced Study (1979/80) and the Massachusetts Institute of Technology (MIT).
Lannes is known for his research on the homotopy theory of classifying spaces of groups. He proved in the mid-1980s the generalized Sullivan conjecture (which was also proven independently by Gunnar Carlsson and Haynes Miller). The mod p cohomology of the classifying spaces of certain finite groups (elementary Abelian p-groups, for which the generalized Sullivan conjecture was formulated) played an important role in the proof. The connection between the cohomology theory of these finite groups and the classifying spaces of groups is illuminated by the work of Lannes. He introduced the -functor on the category of unstable algebra over the Steenrod algebra. Lannes thus led an important development of algebraic topology in the 1980s. He has collaborated extensively with Lionel Schwartz, Hans-Werner Henn, and Saîd Zarati.
Lannes has also done research on the knot invariants of Vassiliev.
He was an invited speaker at the International Congress of Mathematicians (ICM) in Zurich in 1994. His doctoral candidates include Fabien Morel. In 2007 there was a conference in Djerba in honor of Lannes's 60th birthday.
Selected publications
with Lionel Schwartz: Online
Cohomology of groups and function spaces, Preprint 1986 (not published)
Sur la cohomologie modulo des -groupes abeliennes elementaire, Proc. Durham Symposium 1985, Cambridge University Press 1987
with Saîd Zarati: Sur les U-injectifs, Annales Scient. ENS, vol. 19, 1986, pp. 303–333, Online
with H. W. Henn and L. Schwartz: Localizations of unstable A-modules and equivariant mod p cohomology. Mathematische Annalen, 301(1), 1995 23-68.
with Jean Barge: Suites de Sturm, indice de Maslov et périodicité de Bott, Birkhäuser 2008
with Gaëtan Chenevier : Automorphic Forms and Even Unimodular Lattices, Springer 2019
References
External links
1947 births
Living people
20th-century French mathematicians
21st-century French mathematicians
Lycée Louis-le-Grand alumni
École Normale Supérieure alumni
Academic staff of Paris-Saclay University
Academic staff of École Polytechnique
Topologists |
https://en.wikipedia.org/wiki/Konstantinos%20Nikolopoulos%20%28water%20polo%29 | Konstantinos Nikolopoulos was a Greek water polo player. He competed in the men's tournament at the 1920 Summer Olympics.
See also
Greece men's Olympic water polo team records and statistics
List of men's Olympic water polo tournament goalkeepers
References
External links
Year of birth missing
Year of death missing
Water polo goalkeepers
Greek male water polo players
Olympic water polo players for Greece
Water polo players at the 1920 Summer Olympics
Place of birth missing |
https://en.wikipedia.org/wiki/List%20of%20Forge%20FC%20records%20and%20statistics | Forge FC is a Canadian professional soccer club based in Hamilton, Ontario. The club was founded in 2017 by Hamilton Tiger-Cats owner Bob Young as part of a larger effort with the Canadian Soccer Association that resulted in the creation of the Canadian Premier League.
The club began play on April 27, 2019 in the CPL's inaugural match against York9 FC. In addition to the CPL, Forge FC has competed in the Canadian Championship, the CONCACAF League, and the CONCACAF Champions League.
This list encompasses the honours won by Forge FC and records set by the club, its players, and its manager.
Team honours
Canadian Premier League
Champions (3): 2019, 2020, 2022
Runners-up (1): 2021
Regular season champions (1): 2021
Runners-up (3): 2019, 2022, 2023
Canadian Championship
Runners-up (1): 2020
Player honours
Canadian Premier League
Golden Boot
Tristan Borges: 2019
Golden Glove
Triston Henry: 2020, 2023
Player of the Year
Tristan Borges: 2019
Kyle Bekker: 2020
Under 21 Canadian Player of the Year
Tristan Borges: 2019
Defender of the Year
Alexander Achinioti-Jönsson: 2022
CONCACAF League
Team of the Tournament
Molham Babouli: 2021
Player records
Appearances
Bold signifies current Forge FC player
Goalscorers
Bold signifies current Forge FC player
Clean sheets
Bold signifies current Forge FC player
Team records
Firsts
First CPL match: Forge FC 1–1 York9 FC, April 27, 2019
First CPL win: Forge FC 3–0 Pacific FC, May 8, 2019
First Canadian Championship match: Forge FC 1–1 Cavalry FC, June 4, 2019
First CONCACAF League match and win: Forge FC 2–1 Antigua GFC, August 1, 2019
First Canadian Championship win: Forge FC 2–1 Valour FC, September 15, 2021
First CONCACAF Champions League match: Forge FC 0–1 Cruz Azul, February 16, 2022
Record wins
Record CPL win: 4 matches
Forge FC 4–0 Atlético Ottawa, August 25, 2021
HFX Wanderers 0–4 Forge FC, May 20, 2022
Forge FC 5–1 FC Edmonton, July 19, 2022
Atlético Ottawa 0–4 Forge FC, July 31, 2022
Record Canadian Championship win: Forge FC 3–0 FC Laval, April 18, 2023
Record CONCACAF League win: Forge FC 3–0 Santos de Guápiles, November 2, 2021
Record defeats
Record CPL defeat: York9 FC 4–0 Forge FC, October 12, 2019
Record Canadian Championship defeat: CF Montréal 3–0 Forge FC, May 25, 2022
Record CONCACAF League defeat: Olimpia 4–1 Forge FC, August 29, 2019
Record CONCACAF Champions League defeat: Cruz Azul 3–1 Forge FC, February 24, 2022
Highest scores
Highest scoring CPL game: 7 goals
FC Edmonton 3–4 Forge FC, May 31, 2022
Forge FC 4–3 Atlético Ottawa, June 25, 2023
Highest scoring Canadian Championship game: 3 goals
Cavalry FC 2–1 Forge FC, June 11, 2019
Forge FC 2–1 Valour FC, September 15, 2021
Forge FC 3–0 FC Laval, April 18, 2023
CF Montréal 3–0 Forge FC, May 25, 2022
Highest scoring CONCACAF League game: 5 goals, Olimpia 4–1 Forge FC, August 29, 2019
Highest scoring CONCACAF Champions League game: 4 goals, Cruz Azul 3–1 Forge FC, February 24, 2022
Record attendances
Highest attendan |
https://en.wikipedia.org/wiki/William%20Chapple%20%28surveyor%29 | William Chapple (1718–1781) was an English surveyor and mathematician. His mathematical discoveries were mostly in plane geometry and include:
the first proof of the existence of the orthocentre of a triangle,
a formula for the distance between the incentre and circumcentre of a triangle,
the discovery of Poncelet's porism on triangles with a common incircle and circumcircle.
He was also one of the earliest mathematicians to calculate the values of annuities.
Life
Chapple was born in Witheridge on , the son of a poor farmer and parish clerk.
He was a devoted bibliophile, and gained much of his knowledge of mathematics from Ward's The Young Mathematician's Guide: Being a Plain and Easie Introduction to the Mathematicks, in Five Parts. He became an assistant to the parish priest, and a regular contributor to The Ladies' Diary, especially concerning mathematical problems. He also later contributed work on West Country English to The Gentleman's Magazine.
His correspondence led him to become, in 1738, the clerk for a surveyor in Exeter. He married the surveyor's niece, supervised the construction of a new hospital in Exeter, and became secretary of the hospital.
He also worked as the estate steward for William Courtenay, 1st Viscount Courtenay. In 1772 he began work on an update to Tristram Risdon's Survey of the County of Devon, and spent much of the rest of his life working on it; it was published in part throughout his life, and in complete form posthumously in 1785.
He died in early September 1781. A tablet in his memory could be found in the west end of the nave of the Church of St Mary Major, Exeter, prior to that church's demolition in 1971. Chapple Road in Witheridge is named after him.
Contributions to mathematics
Andrea del Centina writes that:
"To illustrate the work of Chapple, whose arguments are often confused and whose logic is very poor, even for the standard of his time, is not easy especially when trying to keep as faithful as possible to his thought."
Nevertheless, Chapple made several significant discoveries in mathematics.
Plane geometry
Euler's theorem in geometry gives a formula for the distance between the incentre and circumcentre of a circle, as a function of the inradius and circumradius :
An immediate consequence is the related inequality . Although these results are named for Leonhard Euler, who published them in 1765, they were found earlier by Chapple, in a 1746 essay in The Gentleman's Magazine. In the same work he stated that, when two circles are the incircle and circumcircle of a triangle, then there is an infinite family of triangles for which they are the incircle and circumcircle. This is the triangular case of Poncelet's closure theorem, which applies more generally to polygons of any number of sides and to conics other than circles. It is the first known mathematical publication on pairs of inscribed and circumscribed circles of polygons, and significantly predates Poncelet's own 1822 work in this |
https://en.wikipedia.org/wiki/Eric%20M.%20Rains | Eric Michael Rains (born 23 August 1973) is an American mathematician specializing in coding theory and special functions, especially applications from and to noncommutative algebraic geometry.
Biography
Eric Rains was 14 when he began classes in 1987. He left Case Western Reserve University with bachelor's degrees in computer science and physics and a master's degree in mathematics at age 17.
By means of a Churchill Scholarship he studied mathematics and physics at the University of Cambridge for the academic year 1991–1992, receiving a Certificate of Advanced Study in Mathematics. He received his PhD in 1995 from Harvard University with thesis Topics in Probability on Compact Lie Groups under the supervision of Persi Diaconis. From 1995 to 1996, Rains worked at the IDA's Center for Communications Research (CCR) in Princeton. From 1996 to 2002 he was a researcher for AT&T Labs. From 2002 to 2003 he returned to the CCR in Princeton. In 2003, Rains became a full professor at the University of California, Davis and since 2007 has been a full professor at Caltech where he currently works. He has served as the Executive Officer of the Caltech Mathematics Department from 2019 to 2022.
In the fall of 2006 he was a visiting professor at the University of Melbourne. He is the co-author with Gabriele Nebe and Neil J. A. Sloane of the 2006 book Self-Dual Codes and Invariant Theory.
In 2007, Rains was a plenary speaker at the Western Sectional meeting of the American Mathematical Society (AMS). In 2010 he was an invited speaker at the International Congress of Mathematicians in Hyderabad. He was elected a Fellow of the AMS in the class of 2018 for "contributions to coding theory, the theory of random matrices, the study of special functions, non-commutative geometry and number theory".
Selected publications
(This article has over 1200 citations.)
References
1973 births
Living people
20th-century American mathematicians
21st-century American mathematicians
Case Western Reserve University alumni
Alumni of the University of Cambridge
Harvard University alumni
AT&T people
Fellows of the American Mathematical Society
Combinatorialists
Mathematical analysts
Probability theorists |
https://en.wikipedia.org/wiki/Alexander%20Buchan%20%28mathematician%29 | Alexander Fairley Buchan (1904 – 10 January 1976) was a Scottish mathematician. Most of his career was spent as a lecturer or teacher in mathematics. He completed his PhD in mathematics in 1939 with a thesis entitled, "Linear Combination of Data with Least Error of Differences". Buchan was awarded an MBE for his work as part of the emergency scheme for training of teachers in India. From 1940, he was a Fellow of the Royal Society of Edinburgh.
Early life and career
Buchan was born in Edinburgh, Scotland in 1904. He attended Sciennes School, Edinburg in 1916 then George Heriot's School from 1916 to 1922, where he obtained high level passes in English, Mathematics, German, Science, and Dynamics. He attended the University of Edinburgh from 1922 to 1926, and was awarded a BSc (first class).
Buchan went on to become a mathematics teacher at James Gillespie's High School, Edinburgh until 1930 when he joined the Royal High School, Edinburgh. In 1935 he moved to James Gillespie's High School for Girls as principal teacher of mathematics. His final posting was as principal lecturer in mathematics at Moray House College of Education. In 1941 he co-presented a lecture to the Edinburgh Mathematics Society entitled "Has mathematics as it is or could be taught in schools, any cultural or educational value for the average pupil?"
Memberships and awards
Buchan was sent by the Scottish Education Department to represent Scotland in the Emergency Scheme for the Training of Teachers in India and for his service he was awarded the MBE.
In 1927 he joined the Edinburgh Mathematical Society.
In 1940, Buchan became a Fellow of the Royal Society of Edinburgh. His proposers were Edmund Whittaker, Alexander Aitken, David Gibb and Robert Schlapp.
During World War II Buchan served in the Royal Air Force for three years, was Squadron Leader and Commandant in the Air Training Corps in Scotland. His contributions to the war effort were recognised on 13 June 1946 as part of the King's Birthday Honours.
Buchan was part of the Scottish Freemasons. He was appointed grand secretary of the Grand Lodge of Scotland from 1948 to 1971.
See also
1946 Birthday Honours
Source
References
1976 deaths
1904 births
Scottish mathematicians
Alumni of the University of Edinburgh College of Science and Engineering
Fellows of the Royal Society
Scottish Freemasons |
https://en.wikipedia.org/wiki/Takeshi%20Saito%20%28mathematician%29 | Takeshi Saito (斎藤 毅 Saitō Takeshi, born 9 September 1961) is a Japanese mathematician, specializing in some areas of number theory and algebraic geometry. His thesis advisor was Kazuya Kato.
Saito was an invited speaker of the International Congress of Mathematicians in 2010.
Selected publications
Articles
Books
References
1961 births
Living people
20th-century Japanese mathematicians
21st-century Japanese mathematicians
Number theorists
University of Tokyo alumni
Academic staff of the University of Tokyo |
https://en.wikipedia.org/wiki/Bence%20Bedi | Bence Bedi (born 14 November 1996) is a Hungarian professional footballer who plays for Zalaegerszeg.
Career statistics
.
References
1996 births
Living people
People from Nagykanizsa
Hungarian men's footballers
Men's association football midfielders
Zalaegerszegi TE players
Nemzeti Bajnokság I players
Hungary men's under-21 international footballers
Footballers from Zala County |
https://en.wikipedia.org/wiki/Debbie%20Dupuis | Debbie Janice Dupuis is a Canadian statistician who works in decision science and robust statistics with applications to statistical finance and environmental statistics. She is a professor in the Department of Decision Sciences at HEC Montréal.
Education and career
Dupuis grew up in Memramcook, New Brunswick, and graduated from the Université de Moncton in 1989 with a bachelor's degree in mathematics and a minor in computer science. With the support of an NSERC graduate fellowship, she earned a master's degree in mathematics and statistics from Queen's University. She completed her Ph.D. in 1994 from the University of New Brunswick. Her dissertation, Knots in Spline Regression: Estimation and Inference Using Laplace Transform Techniques, was supervised by Roman Mureika, and won the Governor General's Gold Medal. She was a faculty member at Dalhousie University and Western University before moving to HEC Montréal.
Recognition
In 2012 the Université de Moncton gave Dupuis their Le Prisme award as a distinguished alumna in the sciences. In 2017 Dupuis was elected as a Fellow of the American Statistical Association "for outstanding contributions to the analysis of extreme values and the development of robust statistical methods; for designing and promoting the use of innovative statistical analysis techniques in a broad array of substantive fields, most notably the environmental sciences, finance and hydrology; and for dynamic and sustained involvement in editorial and organizational service to the profession".
References
External links
Home page
Year of birth missing (living people)
Living people
Canadian statisticians
Women statisticians
Université de Moncton alumni
Queen's University at Kingston alumni
University of New Brunswick alumni
Academic staff of the Dalhousie University
Academic staff of the University of Western Ontario
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Karin%20Baur | Karin Baur is a Swiss mathematician who is working in the mathematical fields algebra, representation theory, cluster algebras, cluster categories, combinatorics, Lie algebras. Currently she is a professor at University of Leeds and she also a full professor at University of Graz. From 2007–2012 she has been an assistant professor (SNSF professor) at ETH Zurich. Moreover, she is one of the protagonists of the project Women of Mathematics throughout Europe.
Recognition
In 2018 Baur was awarded a Royal Society Wolfson Fellowship for her work on Surface categories and mutation.
For her project Orbit Structures in Representation Spaces, she won an SNSF Professorship in 2007.
Publications
References
External links
Karin Baur's webpage at the University of Leeds
Karin Baur's webpage at the University of Graz
Year of birth missing (living people)
Living people
Swiss mathematicians
Women mathematicians
Academic staff of the University of Graz
University of Basel alumni |
https://en.wikipedia.org/wiki/Stephen%20B.%20Kelleher | Stephen Barnabus Kelleher (1875–1917) was an Irish mathematician who served as Erasmus Smith's Professor of Mathematics at Trinity College Dublin (TCD) from 1914 to 1917.
Early life and career
Kelleher was born 11 June 1875 at 25 King Street, in Cork City, to William Kelleher (an accountant) and Helena Walsh. He attended Christian Brothers schools in the city and then studied mathematics at Queen's College Cork (BA 1895, MA 1896). Moving to Dublin, he took another mathematics degree at TCD (BA 1902, large gold medal), where he became a Scholar in 1900 and became a Fellow in 1904 (and MA 1905). In 1910 he was appointed assistant to the Professor of Natural Philosophy there, and in 1914, he was appointed Erasmus Smith's Professor of Mathematics. He died on 18 August 1917, due to sarcomatosis asthenia.
Family
On 22 December 1910, he married Isabel Marion Johnston (of a Derry family) in London. She had made history in January 1904 by becoming the first woman to register at TCD. The couple had two daughters.
Controversy
Kelleher was on the Royal Commission to draw up a plan for the establishment of a university in Ireland that would be satisfactory to Catholics. The resulting Fry Commission Report (1907) had five principal findings, the first two being: 1. That TCD is satisfactory for Protestants but not for Catholics. 2. A new college in Dublin acceptable to Catholics is recommended; one commissioner dissenting.
The lone dissenter was Kelleher, an irony as he was himself Catholic. As a TCD man, be believed that it would be "a grave danger to the interests of Irish lay Catholics and a menace to the future peace of the country."
References
External links
Stephen Barnabus Kelleher in The Dublin University Calendar
Alumni of Trinity College Dublin
Fellows of Trinity College Dublin
Scholars of Trinity College Dublin
1875 births
1917 deaths
19th-century Irish mathematicians
20th-century Irish mathematicians |
https://en.wikipedia.org/wiki/Paul%20M.%20Feehan | Paul Matthew Niall Feehan (born 1961 in Dublin) studied electrical engineering at University College Dublin (BE 1982) and the University of Missouri at Rolla (ME 1984), before switching to mathematics. His 1992 Ph.D. on "Geometry of the Moduli Space of Self-Dual Connections on the Four-Sphere" was done at Columbia University under Duong Hong Phong.
He worked for several years at UC Berkeley, Harvard , and Ohio State University, and in 2000 was appointed Erasmus Smith's Professor of Mathematics at TCD. However, a year later he accepted a position at Rutgers, where he now does research in non-linear elliptic and parabolic partial differential equations, differential geometry, mathematical physics, and the applications of partial-integral differential equations to derivative security pricing and risk management. He is also the Director of the Mathematical Finance Master's Degree Program at Rutgers. In 2019 he became a Fellow of the American Mathematical Society.
References
External links
Alumni of University College Dublin
Missouri University of Science and Technology alumni
Columbia University alumni
University of California, Berkeley faculty
Harvard University faculty
Ohio State University faculty
Academics of Trinity College Dublin
Rutgers University faculty
Fellows of the American Mathematical Society
Living people
1961 births
20th-century Irish mathematicians
21st-century Irish mathematicians
Scientists from County Dublin |
https://en.wikipedia.org/wiki/Visegr%C3%A1d%20Mountains | {
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The Visegrád Mountains () is a mountain range in Hungary, northwest of Budapest.
Geography
The Visegrád Mountains are the direct northern neighbour of the Pilis Mountains. Although the two ranges form a geographical unit as both of them officially belong to the Transdanubian Mountains, the Visegrád Mountains are connected geologically to Börzsöny and the North Hungarian Mountains. The mountain range is the southernmost part of the Inner Western Carpathians. The basic rock of these mountains is volcanic, mainly andesite, while the Transdanubian Mountains are based on sedimentary rocks.
Geology
Visegrád Mountains were shaped by volcanic events.
History of the region
The whole range served as the hunting area for the medieval kings of Hungary.
Notable locations
The highest peak of the range is at Dobogókő (699 m above sea level), a hiking and ski resort area with a panoramic view on the Danube Bend.
Other notable places include:
Gallery
References
Transdanubian Mountains |
https://en.wikipedia.org/wiki/Dunazug%20Mountains | {
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}Dunazug Mountains (Hu: Dunazug hegyvidék) is a part of Transdanubian Mountains in Hungary. It is the easternmost part of the mountains that connects it to the Danube Bend and the capital. The name itself also comes from the river (in Hungarian Duna), while zug means recess, corner.
The highest peak is Pilis-tető, about 750 metres,
The mountains are made up of sedimentary rock, mainly limestone.
Parts of the mountains
Gerecse Mountains
Pilis Mountains
Buda Hills
Gallery
Sources
(In Hungarian)
https://vandorbot.hu/dunazug-hegyvidek
https://www.arcanum.hu/hu/
http://www.karpat-medence.hu
Mountains of Hungary |
https://en.wikipedia.org/wiki/George%20Merloi | George Cristian Merloi (born 15 October 1999) is a Romanian professional footballer who plays as a midfielder for Liga I club Voluntari.
Career Statistics
Club
Honours
Astra Giurgiu
Cupa României runner-up: 2020–21
Voluntari
Cupa României runner-up: 2021–22
References
External links
George Merloi at LPF.ro
1999 births
Living people
Footballers from Bucharest
Romanian men's footballers
Romania men's youth international footballers
Romania men's under-21 international footballers
Men's association football midfielders
Championnat National 2 players
Stade Rennais F.C. players
Liga I players
LPS HD Clinceni players
FC Astra Giurgiu players
FC Voluntari players |
https://en.wikipedia.org/wiki/Mario%20Balla | Mario Balla (1903 – 1964) was an Italian water polo player. He competed in the men's tournament at the 1924 Summer Olympics.
See also
Italy men's Olympic water polo team records and statistics
List of men's Olympic water polo tournament goalkeepers
References
External links
1903 births
1964 deaths
Italian male water polo players
Water polo goalkeepers
Olympic water polo players for Italy
Water polo players at the 1924 Summer Olympics
Water polo players from Genoa |
https://en.wikipedia.org/wiki/Jules%20Brandeleer | Jules Brandeleer was a Belgian water polo player. He competed in the men's tournament at the 1928 Summer Olympics.
See also
Belgium men's Olympic water polo team records and statistics
List of men's Olympic water polo tournament goalkeepers
References
External links
Year of birth missing
Year of death missing
Belgian male water polo players
Water polo goalkeepers
Olympic water polo players for Belgium
Water polo players at the 1928 Summer Olympics
Place of birth missing |
https://en.wikipedia.org/wiki/Pat%20Morin | Patrick Ryan Morin is a Canadian computer scientist specializing in computational geometry and data structures. He is a professor in the School of Computer Science at Carleton University.
Education and career
Morin was educated at Carleton University, earning a bachelor's degree with highest honours in 1996, a master's degree in 1998, and a Ph.D. in 2001. His dissertation, Online Routing in Geometric Graphs, was jointly supervised by Jit Bose and Jörg-Rüdiger Sack. After postdoctoral research at McGill University, he returned to Carleton University as a faculty member in 2002.
Contributions
Morin has published highly-cited work on geographic routing in geometric graphs, including unit disk graphs and triangulations, with coauthors including Jit Bose, Erik Demaine, Stefan Langerman, and Jorge Urrutia. With Joachim Gudmundsson, he co-founded the Journal of Computational Geometry, and continues as its managing editor. He is the author of an open textbook on data structures, Open Data Structures.
References
External links
Home page
Open Data Structures
Year of birth missing (living people)
Living people
Canadian computer scientists
Researchers in geometric algorithms
Carleton University alumni
Academic staff of Carleton University |
https://en.wikipedia.org/wiki/Xi%20Nanhua | Xi Nanhua (; born March 1963) is a Chinese mathematician currently serving as President of the Institute of Mathematics and Systems Sciences, Chinese Academy of Sciences and Dean of the College of Mathematics, University of Chinese Academy of Sciences.
Biography
Xi was born in Yingde, Guangdong in March 1963, while his ancestral home is in Qidong County, Hunan. After the resumption of college entrance examination, he graduated from Huaihua University. In 1982 he entered East China Normal University, where he earned his master's degree and Ph.D. in mathematics. He conducted post-doctoral research at the Institute of Mathematics, Chinese Academy of Sciences (CAS). He was elected an academician of the CAS in 2009. He was vice president of the University of Chinese Academy of Sciences between 2014 and 2017. He is now President of the CAS Institute of Mathematics and Systems Sciences and Dean of the College of Mathematics, University of the Chinese Academy of Sciences.
Awards
2001, Morningside Medal (Silver)
2005, 10th Chen Xingshen Mathematics Award
2007, Second Prize of the State Natural Science Award
References
1963 births
People from Yingde
People from Qidong County
Living people
Huaihua University alumni
East China Normal University alumni
Members of the Chinese Academy of Sciences
Academic staff of the University of the Chinese Academy of Sciences
Mathematicians from Guangdong
Members of the 14th Chinese People's Political Consultative Conference |
https://en.wikipedia.org/wiki/Shortest-path%20graph | In mathematics and geographic information science, a shortest-path graph is an undirected graph defined from a set of points in the Euclidean plane. The shortest-path graph is proposed with the idea of inferring edges between a point set such that the shortest path taken over the inferred edges will roughly align with the shortest path taken over the imprecise region represented by the point set.
The edge set of the shortest-path graph varies based on a single parameter t ≥ 1. When the weight of an edge is defined as its Euclidean length raised to the power of the parameter t ≥ 1, the edge is present in the shortest-path graph if and only if it is the least weight path between its endpoints.
Properties of shortest-path graph
When the configuration parameter t goes to infinity, shortest-path graph become the minimum spanning tree of the point set. The graph is a subgraph of the point set's Gabriel graph and therefore also a subgraph of its Delaunay triangulation.
References
Geometric graphs |
https://en.wikipedia.org/wiki/Cereceda%27s%20conjecture | In the mathematics of graph coloring, Cereceda’s conjecture is an unsolved problem on the distance between pairs of colorings of sparse graphs. It states that, for two different colorings of a graph of degeneracy , both using at most colors, it should be possible to reconfigure one coloring into the other by changing the color of one vertex at a time, using a number of steps that is quadratic in the size of the graph. The conjecture is named after Luis Cereceda, who formulated it in his 2007 doctoral dissertation.
Background
The degeneracy of an undirected graph is the smallest number such that every non-empty subgraph of has at least one vertex of degree at most . If one repeatedly removes a minimum-degree vertex from until no vertices are left, then the largest of the degrees of the vertices at the time of their removal will be exactly , and this method of repeated removal can be used to compute the degeneracy of any graph in linear time. Greedy coloring the vertices in the reverse of this removal ordering will automatically produce a coloring with at most colors, and for some graphs (such as complete graphs and odd-length cycle graphs) this number of colors is optimal.
For colorings with colors, it may not be possible to move from one coloring to another by changing the color of one vertex at a time. In particular, it is never possible to move between 2-colorings of a forest (the graphs of degeneracy 1) or between -colorings of a complete graph in this way; their colorings are said to be frozen. Cycle graphs of length other than four also have disconnected families of -colorings.
However, with one additional color, using colorings with colors, all pairs of colorings can be connected to each other by sequences of moves of this type. It follows from this that an appropriately designed random walk on the space of -colorings, using moves of this type, is mixing. This means that the random walk will eventually converge to the discrete uniform distribution on these colorings as its steady state, in which all colorings have equal probability of being chosen. More precisely, the random walk proceeds by repeatedly choosing a uniformly random vertex and choosing uniformly at random among all the available colors for that vertex, including the color it already had; this process is called the Glauber dynamics.
Statement
The fact that the Glauber dynamics converges to the uniform distribution on -colorings naturally raises the question of how quickly it converges. That is, what is the mixing time? A lower bound on the mixing time is the diameter of the space of colorings, the maximum (over pairs of colorings) of the number of steps needed to change one coloring of the pair into the other. If the diameter is exponentially large in the number of vertices in the graph, then the Glauber dynamics on colorings is certainly not rapidly mixing. On the other hand, when the diameter is bounded by a polynomial function of , this suggests that the mixing t |
https://en.wikipedia.org/wiki/Robert%20Russell%20%28Irish%20mathematician%29 | Robert Russell (c. 1858–18 May 1938) was an Irish mathematician and academic at Trinity College Dublin (TCD), who served as Erasmus Smith's Professor of Mathematics (1917–1921).
Robert Russell was born in Portadown, Armagh, and was educated at Santry School, Portarlington. He attended TCD, became a Scholar in 1877, and won the Brooke Prize, Bishop Law's Prize, McCullagh Prize, and Madden Prize. He was awarded BA in mathematics (1880), became a Fellow a few years later, and got his MA (1888). In 1887, he was elected a member of the London Mathematical Society. He spent his whole career at TCD, at various times serving as Junior Bursar, Junior Dean, Registrar of Chambers, and from the early 1920s on, Senior Bursar.
He was Donegall Lecturer in Mathematics (1904–1907), Erasmus Smith's Professor of Mathematics (1917–1921), and became Senior Fellow in 1920.
Selected papers
Geometry of Surfaces Derived from Cubics, 26 June 1899
Ruler Constructions in Connexion with Cubic Curves, 24 April 1893
On a Theorem in Higher Algebra, The Quarterly Journal of Pure and Applied Mathematics, Volume 21, 23 May 2016
References
19th-century Irish mathematicians
20th-century Irish mathematicians
Alumni of Trinity College Dublin
Academics of Trinity College Dublin
Donegall Lecturers of Mathematics at Trinity College Dublin
1850s births
1938 deaths
People from Portadown
People educated at Santry School
Scientists from County Armagh
Scholars and academics from County Armagh |
https://en.wikipedia.org/wiki/Jihei%20Furusho | was a Japanese water polo player. He competed in the men's tournament at the 1936 Summer Olympics.
See also
Japan men's Olympic water polo team records and statistics
List of men's Olympic water polo tournament goalkeepers
References
External links
1914 births
Year of death missing
Japanese male water polo players
Water polo goalkeepers
Olympic water polo players for Japan
Water polo players at the 1936 Summer Olympics |
https://en.wikipedia.org/wiki/Luay%20Abdul-Ilah | Luay Abdul-Ilah (born 1949) is an Iraqi writer and translator. He was born in Baghdad and studied mathematics in Baghdad University. He has published several short story collections and a novel titled Divine Names (translated into English by Judy Cumberbatch). Living in London since 1985, he has worked for Al-Sharq Al-Awsat, SOAS and the University of Westminster.
References
Iraqi writers
1949 births
Living people |
https://en.wikipedia.org/wiki/Joan%20Garfield | Joan B. Garfield is an American educational psychologist specializing in statistics education. She is retired from the University of Minnesota as a professor emeritus of educational psychology.
Education
Garfield entered the University of Wisconsin intending to study anthropology, but graduated in 1972 with a bachelor's degree in education and a minor in mathematics. She became a middle school mathematics teacher but, realizing she needed more preparation as a teacher, returned to graduate school. She chose the University of Minnesota hoping to work with Donovan Johnson, whose works she had read, but he had retired and she instead worked with his student Robert Jackson. She earned a master's degree in mathematics education from the University of Minnesota in 1978, and while working on it was encouraged by statistician Raymond O. Collier Jr. to continue for doctoral studies. She completed her Ph.D. in educational psychology from the University of Minnesota in 1981.
Career
Garfield began teaching at University of Minnesota faculty in 1979 as a summer mathematics instructor, as a way of supplementing her income as a graduate student, and remained at the university for the rest of her career, becoming a full professor in 2002.
She chaired the American Statistical Association Section on Statistics Education in 2003, and in the same year was president of the American Educational Research Association Special Interest Group for Educational Statisticians.
Books
Garfield is the editor of several books in statistics education and the author, with Dani Ben Zvi, of Developing Students’ Statistical Reasoning: Connecting Research and Teaching Practice (Springer, 2008).
Recognition
In 2001 Garfield was recognized as a Fellow of the American Statistical Association. She has been an Elected Member of the International Statistical Institute since 2002. In 2005 the American Statistical Association gave her their Founder's Award for distinguished service to the association. The Consortium for the Advancement of Undergraduate Statistics Education gave her their lifetime achievement award in 2007.
References
External links
Home page
Year of birth missing (living people)
Living people
American statisticians
American women psychologists
21st-century American psychologists
Educational psychologists
Women statisticians
Statistics educators
University of Wisconsin–Madison School of Education alumni
University of Minnesota College of Education and Human Development alumni
University of Minnesota faculty
Fellows of the American Statistical Association
Elected Members of the International Statistical Institute
American women academics
21st-century American women
Quantitative psychologists |
https://en.wikipedia.org/wiki/Elizabeth%20Wilmer | Elizabeth Lee Wilmer is an American mathematician known for her work on Markov chain mixing times. She is a professor, and former department head, of mathematics at Oberlin College.
As a 16-year-old high school student at Stuyvesant High School and captain of the school mathematics team, Wilmer won second place in the Westinghouse Science Talent Search in 1987, for a project involving 3-coloring of graphs. The first-place winner that year was also female, marking the first year that the top two prizes both went to women. As an undergraduate at Harvard College, she led the university's team that won the first Mathematical Contest in Modeling of the Society for Industrial and Applied Mathematics, and she was one of the two inaugural winners of the Alice T. Schafer Prize of the Association for Women in Mathematics for excellence by a woman in undergraduate mathematics. She graduated from Harvard in 1991, and completed her Ph.D. at Harvard in 1999. She worked with Persi Diaconis for her doctoral dissertation, Exact Rates of Convergence for Some Simple Non-Reversible Markov Chains, but after Diaconis moved from Harvard to Stanford in 1997 her official doctoral advisor became Joe Harris.
With David A. Levin and Yuval Peres, Wilmer is the author of the textbook Markov Chains and Mixing Times (American Mathematical Society, 2009; 2nd ed., 2017).
As of September 2022, Wilmer is a rotating program officer at the National Science Foundation in the Probability program.
References
External links
Year of birth missing (living people)
Living people
21st-century American mathematicians
American women mathematicians
Probability theorists
Harvard College alumni
Oberlin College faculty
21st-century American women |
https://en.wikipedia.org/wiki/Vladas%20Sidoravicius | Vladas Sidoravicius (1963, Vilnius, Lithuania – 23 May 2019, Shanghai) was a Lithuanian-Brazilian mathematician, specializing in probability theory.
Education and career
At Vilnius University, Sidoravicius graduated in mathematics with Diplom in 1985 and Magister degree in 1986. At Lomonosov State University he matriculated in 1986 and received his doctoral degree in 1990 with thesis advisor Vadim Aleksandrovich Malyshev. At Heidelberg University and at Paris Dauphine University, Sidoravicius was a postdoc from 1991 to 1993. In the early 1990s he gained an international reputation for his research in probability theory. In 1993 he moved to Brazil. He became a naturalized Brazilian citizen and was a full professor at the Instituto de Matemática Pura e Aplicada (IMPA) in Rio de Janeiro from 1999 to 2015, when he moved to China. At New York University Shanghai (NYU Shanghai), he was a professor of mathematics and also served as the deputy director of NYU Shanghai's NYU-ECNU (East China Normal University) Institute of Mathematical Sciences from 2015 until his death in 2019 at age 55.
Sidoravicius was the author or co-author of over 100 articles in refereed journals. He was a frequent collaborator of Harry Kesten. Their 2008 article A Shape Theory for the Spread of an Infection is particularly noteworthy.
In 2014 Sidoravicius was an invited speaker at the International Congress of Mathematicians in Seoul. In 2019 the XXIII Escola Brasileira de Probabilidade (XXIII Brazilian School of Probability) was dedicated to his memory.
Selected publications
Articles
2009
Books
References
External links
1963 births
2019 deaths
20th-century Lithuanian mathematicians
Probability theorists
Vilnius University alumni
Moscow State University alumni
Instituto Nacional de Matemática Pura e Aplicada researchers
Academic staff of the East China Normal University
21st-century Brazilian mathematicians |
https://en.wikipedia.org/wiki/Aboubacar%20Diarra | Aboubacar Diarra (born 22 May 1993) is a Malian footballer who plays as a midfielder, most recently for Tala'ea El Gaish in Egypt.
Career statistics
International
Honours
Club
Stade Malien
Malian Première Division: 2016
Al-Shorta
Iraqi Super Cup: 2019
References
External links
1993 births
Living people
Malian men's footballers
Malian expatriate men's footballers
Stade Malien players
ENPPI SC players
Al-Shorta SC players
Tala'ea El Gaish SC players
Egyptian Premier League players
Men's association football midfielders
Mali men's international footballers
Malian expatriate sportspeople in Egypt
Malian expatriate sportspeople in Iraq
Expatriate men's footballers in Iraq
Expatriate men's footballers in Egypt
21st-century Malian people |
https://en.wikipedia.org/wiki/Yoshitaka%20Komori | is a professional footballer who currently plays for Taiwanese team Taichung Futuro Born in Japan, he represents the Chinese Taipei national football team at international level.
Career statistics
Club
Notes
References
1987 births
Living people
Sportspeople from Yokohama
Association football people from Kanagawa Prefecture
Japanese men's footballers
Taiwanese men's footballers
Taiwanese people of Japanese descent
Chinese Taipei men's international footballers
Men's association football midfielders
Singapore Premier League players
Taiwan Football Premier League players
YSCC Yokohama players
Japan Soccer College players
Albirex Niigata Singapore FC players
Taichung Futuro F.C. players
Japanese expatriate men's footballers
Japanese expatriate sportspeople in Singapore
Expatriate men's footballers in Singapore
Japanese expatriate sportspeople in Thailand
Expatriate men's footballers in Thailand
Japanese emigrants
Immigrants to Taiwan
Naturalised citizens of Taiwan |
https://en.wikipedia.org/wiki/Lynn%20D.%20Dierking | Lynn Diane Dierking is a Sea Grant Professor in Free-Choice Learning, Science & Mathematics Education in the College of Science at Oregon State University. She is also the Associate Dean for Research in the College of Education at Oregon State.
Dierking is best known for research on "free-choice learning" and "lifelong learning". She has been active in the museum and the education field since the 1980s, making contributions like The Museum Experience, published in 1992 with John Falk.
Books
Falk, J.H. & Dierking L.D. (2018). "Learning from Museums, 2nd Edition" (Rowman & Littlefield)
Falk, J.H. & Dierking, L.D. (2016). The Museum Experience Revisited. Walnut Creek, CA: Left Coast Press.
Dierking, L.D. (2006). Foreword. In: C. Yao, L. Dierking, P. Anderson, Schatz, D. & Wolf, S. (Eds.) The handbook of small science centers. Lanham, MD: AltaMira Press.
Falk, J.H. & L.D. Dierking, Eds., (1995). Public institutions for personal learning: Establishing a research agenda. Washington, D.C.: American Association of Museums.
McCreedy, D. & L.D. Dierking, (2013). Cascading influences: Long-term impacts of informal STEM programs for girls. Philadelphia, PA: Franklin Institute Science Museum Press.
Dierking, L.D., Falk, J.H., Holland, D., Fisher, S., Schatz, D. & Wilke, L. (1997). Collaboration: Critical Criteria for Success. Washington, D.C.: Association of Science-Technology Centers.
Dierking, L.D. & W. Pollock. (1998). Questioning our assumptions from the start: An introduction to front- end studies in museums. Washington, D.C.: Association of Science-Technology Centers.
Dierking, L.D. & Falk, J.H. (2002). Lessons without limit: How free-choice learning is transforming education.Walnut Creek, CA: AltaMira Press (Rowman & Littlefield).
Dierking, L.D & Falk, J.H. (1992) The Museum Experience. Washington, DC: Whalesback Books.
Awards
NARST Distinguished Contributions to Science Education through Research Award (2016)
John Cotton Dana Award for Leadership (2010)
American Alliance of Museums Centennial Honor Roll (2006)
References
External links
Interview with Lynn Dierking, by Briley Rasmussen in the Museum Education Oral History Collection
Lynn D. Dierking's Books
Lynn D. Dierking's page for the Institute for Learning Innovation
Lynn D. Dierking's page for the Oregon State University Center for Research on Lifelong STEM Learning
Oregon State University faculty
Museum educators
Year of birth missing (living people)
Living people |
https://en.wikipedia.org/wiki/Nelson%20Max | Nelson Max is a professor of computer science at the University of California at Davis. He received his Ph.D. in Mathematics from Harvard University in 1967, advised by Herman Gluck. His research interests include scientific visualization, computer animation, photorealistic computer graphics rendering, multi-view stereo reconstruction, and augmented reality. In his visualization section, he worked on molecular graphics, and volume and flow visualization, particularly on irregular finite element meshes. He has rendered realistic lighting effects in clouds, trees, and water waves, and has produced numerous computer animations, shown at the annual ACM SIGGRAPH conferences, and in OMNIMAX stereo at the Fujitsu Pavilions at Expo ’85 in Tsukuba Japan, and at Expo ’90 in Osaka Japan. He received the prestigious Steven A. Coons Award in 2007, and is a Fellow of the ACM and a member of the ACM SIGGRAPH Academy.
His computer animation in the early 1970s for the Topology Films Project included the award winning animated films "Space Filling Curves," showing continuous fractal curves that pass through every point in a square, and "Turning a Sphere Inside Out," showing how to turn a sphere inside out without tearing or creasing the surface, but allowing the surface to cross itself. In photorealistic rendering, he was the first to render beams of light and shadow from atmospheric scattering, and developed horizon mapping to render bump shadows on bump-mapped surfaces. At Lawrence Livermore National Laboratory in 1981, he produced the film "Carla's Island" showing reflections of the sunset on ocean waves, using vectorized ray tracing on the Cray 1 supercomputer.
References
Living people
Computer graphics professionals
Fellows of the Association for Computing Machinery
Harvard University alumni
University of California, Davis faculty
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Marcia%20Groszek | Marcia Jean Groszek is an American mathematician whose research concerns mathematical logic, set theory, forcing, and recursion theory. She is a professor of mathematics at Dartmouth College.
Education
As a high school student, Groszek felt isolated for her interest in mathematics,
but she found a sense of community through her participation in the Hampshire College Summer Mathematics Program, and she went on to earn her bachelor's degree at Hampshire College. She completed her Ph.D. in 1981 at Harvard University. Her dissertation, Iterated Perfect Set Forcing and Degrees of Constructibility, was supervised by Akihiro Kanamori.
Research
With Theodore Slaman, Groszek showed that (if they exist at all) non-constructible real numbers must be widespread, in the sense that every perfect set contains one of them, and they asked analogous questions of the non-computable real numbers. With Slaman, she has also shown that the existence of a maximally independent set of Turing degrees, of cardinality less than the cardinality of the continuum, is independent of ZFC.
In the theory of ordinal definable sets, an unordered pair of sets is said to be a Groszek–Laver pair if the pair is ordinal definable but neither of its two elements is; this concept is named for Groszek and Richard Laver, who observed the existence of such pairs in certain models of set theory.
Service and outreach
Groszek was program chair of the 2014 North American annual meeting of the Association for Symbolic Logic. Her interest in logic extends to education as well as to research; she has participated in the Association for Symbolic Logic Committee on Logic Education, and in 2011 she was co-organizer of an Association for Symbolic Logic special session on "Logic in the Undergraduate Mathematics Curriculum".
With mathematics colleague Dorothy Wallace and performance artist Josh Kornbluth, Groszek has also helped write and produce a sequence of educational videos about mathematics.
Selected publications
References
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
American women mathematicians
Mathematical logicians
Women logicians
Set theorists
Hampshire College alumni
Harvard University alumni
Dartmouth College faculty
20th-century American women
21st-century American women |
https://en.wikipedia.org/wiki/Lattice%20of%20stable%20matchings | In mathematics, economics, and computer science, the lattice of stable matchings is a distributive lattice whose elements are stable matchings. For a given instance of the stable matching problem, this lattice provides an algebraic description of the family of all solutions to the problem. It was originally described in the 1970s by John Horton Conway and Donald Knuth.
By Birkhoff's representation theorem, this lattice can be represented as the lower sets of an underlying partially ordered set. The elements of this set can be given a concrete structure as rotations, with cycle graphs describing the changes between adjacent stable matchings in the lattice. The family of all rotations and their partial order can be constructed in polynomial time, leading to polynomial time solutions for other problems on stable matching including the minimum or maximum weight stable matching. The Gale–Shapley algorithm can be used to construct two special lattice elements, its top and bottom element.
Every finite distributive lattice can be represented as a lattice of stable matchings.
The number of elements in the lattice can vary from an average case of to a worst-case of exponential.
Computing the number of elements is #P-complete.
Background
In its simplest form, an instance of the stable matching problem consists of two sets of the same number of elements to be matched to each other, for instance doctors and positions at hospitals. Each element has a preference ordering on the elements of the other type: the doctors each have different preferences for which hospital they would like to work at (for instance based on which cities they would prefer to live in), and the hospitals each have preferences for which doctors they would like to work for them (for instance based on specialization or recommendations). The goal is to find a matching that is stable: no pair of a doctor and a hospital prefer each other to their assigned match. Versions of this problem are used, for instance, by the National Resident Matching Program to match American medical students to hospitals.
In general, there may be many different stable matchings. For example, suppose there are three doctors (A,B,C) and three hospitals (X,Y,Z) which have preferences of:
A: YXZ B: ZYX C: XZY
X: BAC Y: CBA Z: ACB
There are three stable solutions to this matching arrangement:
The doctors get their first choice and the hospitals get their third: AY, BZ, CX.
All participants get their second choice: AX, BY, CZ.
The hospitals get their first choice and the doctors their third: AZ, BX, CY.
The lattice of stable matchings organizes this collection of solutions, for any instance of stable matching, giving it the structure of a distributive lattice.
Structure
Partial order on matchings
The lattice of stable matchings is based on the following weaker structure, a partially ordered set whose elements are the stable matchings. Define a comparison operation on the stable matchings,
where if |
https://en.wikipedia.org/wiki/Mar%C3%ADa%20Teresa%20Lozano%20Im%C3%ADzcoz | María Teresa Lozano Imízcoz (born July 31, 1946) is a Spanish emeritus professor and mathematician. She studies topology principally in three dimensions. She has been given a Real Sociedad Matemática Española (RSME) medal for her career and as a trailblazer for women to be involved in mathematical research.
Life
Lozano was born in Pamplona in 1946. In 1969 Imízcoz obtained a degree and five years later she completed her doctorate in mathematics at the University of Zaragoza. Her postdoctoral work began at the University of Wisconsin where she was an honorary fellow. In 1978 she returned to Spain where she became a professor at the University of Zaragoza.
In 1990 she was made the Professor of Geometry and Topology. She was the first professor and the first director in her university's Faculty of Sciences. She was also the first emeritus professor of her faculty.
Memberships
In 1996 she became an Academician of the Royal Academy of Exact, Physical, Chemical and Natural Sciences of Zaragoza. In 2006 she became a Corresponding Academician of the Royal Academy of Exact, Physical and Natural Sciences.
In 2016 she was awarded the Royal Spanish Mathematical Society (RSME) Medal in recognition of the 40 years that she had contributed to the mathematics profession. The citation mentioned her dissemination work and her studies with Prof. Hugh Michael Hilden and Vicente Montesinos on the theory of knots and three-dimensional topology. The newspapers also mentioned her as a trailblazer for women to be involved in mathematical research.
References
1946 births
Living people
People from Pamplona
Topologists
20th-century Spanish mathematicians
Spanish women mathematicians
University of Zaragoza alumni
Academic staff of the University of Zaragoza
21st-century Spanish mathematicians |
https://en.wikipedia.org/wiki/Russell%20Lyons | Russell David Lyons (6 September 1957) is an American mathematician, specializing in probability theory on graphs, combinatorics, statistical mechanics, ergodic theory and harmonic analysis.
Lyons graduated with B.A. mathematics in 1979 from Case Western Reserve University, where he became a Putnam Fellow in 1977 and 1978. He received his Ph.D. in 1983 from the University of Michigan with the thesis A Characterization of Measures Whose Fourier-Stieltjes Transforms Vanish at Infinity, which was supervised by Hugh L. Montgomery and Allen Shields. Lyons was a postdoc for the academic year 1984–1985 at the University of Paris-Sud. He was an assistant professor at Stanford University from 1985 to 1990 and an associate professor at Indiana University from 1990 to 1994. At Georgia Tech he was a full professor from 2000 to 2003. At Indiana University he was a professor of mathematics from 1994 to 2014 and is since 2014 the James H. Rudy Professor of Mathematics; there he has also been an adjunct professor of statistics since 2006.
Lyons has held visiting positions in the United States, France, and Israel. In 2012 he was elected a Fellow of the American Mathematical Society. In 2014 he was an invited speaker of the International Congress of Mathematicians (ICM) in Seoul. In 2017 a conference was held in Tel Aviv in honor of his 60th birthday.
Selected publications
References
External links
(joint with Yuval Peres)
1957 births
Living people
20th-century American mathematicians
21st-century American mathematicians
Probability theorists
Case Western Reserve University alumni
University of Michigan alumni
Stanford University faculty
Indiana University faculty
Georgia Tech faculty
Fellows of the American Mathematical Society
Putnam Fellows |
https://en.wikipedia.org/wiki/Stable%20matching%20polytope | In mathematics, economics, and computer science, the stable matching polytope or stable marriage polytope is a convex polytope derived from the solutions to an instance of the stable matching problem.
Description
The stable matching polytope is the convex hull of the indicator vectors of the stable matchings of the given problem. It has a dimension for each pair of elements that can be matched, and a vertex for each stable matchings. For each vertex, the Cartesian coordinates are one for pairs that are matched in the corresponding matching, and zero for pairs that are not matched.
The stable matching polytope has a polynomial number of facets. These include the conventional inequalities describing matchings without the requirement of stability (each coordinate must be between 0 and 1, and for each element to be matched the sum of coordinates for the pairs involving that element must be exactly one), together with inequalities constraining the resulting matching to be stable (for each potential matched pair elements, the sum of coordinates for matches that are at least as good for one of the two elements must be at least one). The points satisfying all of these constraints can be thought of as the fractional solutions of a linear programming relaxation of the stable matching problem.
Integrality
It is a theorem of that the polytope described by the facet constraints listed above has only the vertices described above. In particular it is an integral polytope. This can be seen as an analogue of the theorem of Garrett Birkhoff that an analogous polytope, the Birkhoff polytope describing the set of all fractional matchings between two sets, is integral.
An equivalent way of stating the same theorem is that every fractional matching can be expressed as a convex combination of integral matchings. prove this by constructing a probability distribution on integral matchings whose expected value can be set equal to any given fractional matching. To do so, they perform the following steps:
Consider for each element on one side of the stable matching problem (the doctors, say, in a problem matching doctors to hospitals) the fractional values assigned to pairings with the elements on the other side (the hospitals), and sort these values in decreasing order by that doctor's preferences.
Partition the unit interval into subintervals, of lengths equal to these fractional values, in the sorted order. Choosing a random number in the unit interval will give a random match for the selected doctor, with probability equal to the fractional weight of that match.
Symmetrically, consider for each element on the other side of the stable matching (the hospitals), sort the fractional values for pairings involving that element in increasing order by preference, and construct a partition of the unit interval whose subintervals have these fractional values in the sorted order.
It can be proven that, for each matched pair, the subintervals associated with that pair are the |
https://en.wikipedia.org/wiki/Stephen%20R.%20Doty | Stephen Richard Doty (born April 16, 1953) is an American mathematician specializing in algebraic representation theory (especially modular representation theory).
He earned a doctorate in mathematics from University of Notre Dame in 1982 under the supervision of Warren J. Wong with dissertation The Submodule Structure of Weyl Modules for Groups of Type An. After post-doctoral positions at University of Washington and University of Notre Dame, he joined the faculty at Loyola University Chicago in 1987.
In 2007 Doty was named the Inaugural Yip Fellow of Magdalene College, Cambridge University. In 2009 he was a Mercator Professor in Germany.
Selected publications
References
External links
Home page
Mathematical Reviews author profile
1953 births
Living people
Writers from Salt Lake City
20th-century American mathematicians
21st-century American mathematicians
Algebraists
Mathematicians from Illinois
Notre Dame College of Arts and Letters alumni
Loyola University Chicago faculty
University of Notre Dame faculty
University of Washington faculty |
https://en.wikipedia.org/wiki/Ricerche%20di%20Matematica | Ricerche di Matematica is a peer-reviewed mathematics journal on applied mathematics and pure mathematics. It was established in 1952 by Carlo Miranda with the collaboration of Renato Caccioppoli and other members of the Istituto di Matematica of the University of Naples Federico II. From 1952 to 2005 the journal was published in 54 volumes in Naples with articles in Italian, English, or French. From 2006 "Ricerche di Matematica" (with articles only in English) is published by Springer-Verlag under the auspices of the Dipartimento di Matematica e Applicazioni "Renato Caccioppoli"; a board of professors in this department at the University of Naples Federico II appoints and supports the journal's editors. The journal is indexed by Mathematical Reviews and Zentralblatt MATH.
References
Mathematics journals
Academic journals established in 1952
English-language journals
Springer Science+Business Media academic journals
Biannual journals |
https://en.wikipedia.org/wiki/Robert%20Wolak | Robert Antoni Wolak (born September 19, 1955) is a Polish mathematician, habilitated doctor of mathematical sciences. He specializes in differential geometry, foliation theory and differential topology. Associate professor of the Department of Geometry of the Institute of Mathematics, Faculty of Mathematics and Computer Science of the Jagiellonian University.
References
1955 births
Living people
Polish mathematicians |
https://en.wikipedia.org/wiki/Heyde%20theorem | In the mathematical theory of probability, the Heyde theorem is the characterization theorem concerning the normal distribution (the Gaussian distribution) by the symmetry of one linear form given another. This theorem was proved by C. C. Heyde.
Formulation
Let be independent random variables. Let be nonzero constants such that for all . If the conditional distribution of the linear form given is symmetric then all random variables have normal distributions (Gaussian distributions).
References
· C. C. Heyde, “Characterization of the normal law by the symmetry of a certain conditional distribution,” Sankhya, Ser. A,32, No. 1, 115–118 (1970).
· A. M. Kagan, Yu. V. Linnik, and C. R. Rao, Characterization Problems in Mathematical Statistics, Wiley, New York (1973).
Probability theorems |
https://en.wikipedia.org/wiki/Structural%20Ramsey%20theory | In mathematics, structural Ramsey theory is a categorical generalisation of Ramsey theory, rooted in the idea that many important results of Ramsey theory have "similar" logical structures. The key observation is noting that these Ramsey-type theorems can be expressed as the assertion that a certain category (or class of finite structures) has the Ramsey property (defined below).
Structural Ramsey theory began in the 1970s with the work of Nešetřil and Rödl, and is intimately connected to Fraïssé theory. It received some renewed interest in the mid-2000s due to the discovery of the Kechris–Pestov–Todorčević correspondence, which connected structural Ramsey theory to topological dynamics.
History
is given credit for inventing the idea of a Ramsey property in the early 70s. The first publication of this idea appears to be Graham, Leeb and Rothschild's 1972 paper on the subject. Key development of these ideas was done by Nešetřil and Rödl in their series of 1977 and 1983 papers, including the famous Nešetřil–Rödl theorem. This result was reproved independently by Abramson and Harrington, and further generalised by . More recently, Mašulović and Solecki have done some pioneering work in the field.
Motivation
This article will use the set theory convention that each natural number can be considered as the set of all natural numbers less than it: i.e. . For any set , an -colouring of is an assignment of one of labels to each element of . This can be represented as a function mapping each element to its label in (which this article will use), or equivalently as a partition of into pieces.
Here are some of the classic results of Ramsey theory:
(Finite) Ramsey's theorem: for every , there exists such that for every -colouring of all the -element subsets of , there exists a subset , with , such that is -monochromatic.
(Finite) van der Waerden's theorem: for every , there exists such that for every -colouring of , there exists a -monochromatic arithmetic progression of length .
Graham–Rothschild theorem: fix a finite alphabet . A -parameter word of length over is an element , such that all of the appear, and their first appearances are in increasing order. The set of all -parameter words of length over is denoted by . Given and , we form their composition by replacing every occurrence of in with the th entry of .Then, the Graham–Rothschild theorem states that for every , there exists such that for every -colouring of all the -parameter words of length , there exists , such that (i.e. all the -parameter subwords of ) is -monochromatic.
(Finite) Folkman's theorem: for every , there exists such that for every -colouring of , there exists a subset , with , such that , and is -monochromatic.
These "Ramsey-type" theorems all have a similar idea: we fix two integers and , and a set of colours . Then, we want to show there is some large enough, such that for every -colouring of the "substructures" of size inside , we can |
https://en.wikipedia.org/wiki/Wac%C5%82aw%20Marzantowicz | Wacław Bolesław Marzantowicz is a Polish mathematician known for his contributions in number theory and topology. He was President of the Polish Mathematical Society from 2014 to 2019.
Biography
In 1967 he became the finalist of the 18th Mathematical Olympiad. In 1972, he graduated in mathematics at Adam Mickiewicz University in Poznań. He obtained his doctorate in Institute of Mathematics of the Polish Academy of Sciences in 1977, based on the work Lefschetz Numbers of Maps Commuting with an Action of a Group written under the direction Kazimierz Gęba. He got habilitation there in 1991, based on the work Invariant topology methods used in variational problems.
From 1993 to 1996, he was the director of the Institute of Mathematics University of Gdańsk. Since 1996, he has been working at Faculty of Mathematics and Computer Science at the Adam Mickiewicz University in Poznań, where he heads the Department of Geometry and Topology. In 2002 he received the title of professor of mathematics. References to his papers can be found in mathematical databases.
From 1993 to 1996, he was the president of the Gdańsk Branch of the Polish Mathematical Society (PMS) and then its vice president (2011–2013). Since 2014, he has been the president of the Polish Mathematical Society.
He received the Stefan Banach Prize of the Polish Mathematical Society (ex aequo with .
Further reading
Jerzy Jezierski; Wacław Marzantowicz, Homotopy methods in topological fixed and periodic points theory. Topological Fixed Point Theory and Its Applications, 3. Springer, Dordrecht, 2006. xii+319 pp. ; , .
Złota księga nauk ekonomicznych, prawnych i ścisłych 2005, wyd. Gliwice 2005, p. 205
References
1950 births
Living people
Number theorists
Polish mathematicians |
https://en.wikipedia.org/wiki/Sanjar%20Kodirkulov | Sanjar Kodirkulov (born 27 May 1997 in Tashkent, Uzbekistan) is an Uzbekistani footballer who currently plays for Bunyodkor.
Career statistics
Club
International
Statistics accurate as of match played 19 November 2019
International goals
Scores and results list Uzbekistan's goal tally first.
References
External links
Uzbekistani men's footballers
1997 births
Living people
FC Bunyodkor players
Men's association football midfielders
Uzbekistan men's international footballers |
https://en.wikipedia.org/wiki/Mohamed%20Azmi | Mohamed Azmi (born 1921) was an Egyptian water polo player. He competed in the men's tournament at the 1960 Summer Olympics.
See also
Egypt men's Olympic water polo team records and statistics
List of men's Olympic water polo tournament goalkeepers
References
External links
1921 births
Possibly living people
Egyptian male water polo players
Water polo goalkeepers
Olympic water polo players for Egypt
Water polo players at the 1960 Summer Olympics
Sportspeople from Cairo
20th-century Egyptian people |
https://en.wikipedia.org/wiki/Mineo%20Kato | is a Japanese former water polo player. He competed at the 1960 Summer Olympics and the 1964 Summer Olympics.
See also
Japan men's Olympic water polo team records and statistics
List of men's Olympic water polo tournament goalkeepers
References
External links
1934 births
Living people
Japanese male water polo players
Water polo goalkeepers
Olympic water polo players for Japan
Water polo players at the 1960 Summer Olympics
Water polo players at the 1964 Summer Olympics
Sportspeople from Tokyo
Asian Games medalists in water polo
Water polo players at the 1958 Asian Games
Water polo players at the 1962 Asian Games
Asian Games gold medalists for Japan
Medalists at the 1958 Asian Games
Medalists at the 1962 Asian Games
20th-century Japanese people
21st-century Japanese people |
https://en.wikipedia.org/wiki/Polynomial%20method%20in%20combinatorics | In mathematics, the polynomial method is an algebraic approach to combinatorics problems that involves capturing some combinatorial structure using polynomials and proceeding to argue about their algebraic properties. Recently, the polynomial method has led to the development of remarkably simple solutions to several long-standing open problems. The polynomial method encompasses a wide range of specific techniques for using polynomials and ideas from areas such as algebraic geometry to solve combinatorics problems. While a few techniques that follow the framework of the polynomial method, such as Alon's Combinatorial Nullstellensatz, have been known since the 1990s, it was not until around 2010 that a broader framework for the polynomial method has been developed.
Mathematical overview
Many uses of the polynomial method follow the same high-level approach. The approach is as follows:
Embed some combinatorial problem into a vector space.
Capture the hypotheses of the problem by constructing a polynomial of low-degree that is zero on a certain set
After constructing the polynomial, argue about its algebraic properties to deduce that the original configuration must satisfy the desired properties.
Example
As an example, we outline Dvir's proof of the Finite Field Kakeya Conjecture using the polynomial method.
Finite Field Kakeya Conjecture: Let be a finite field with elements. Let be a Kakeya set, i.e. for each vector there exists such that contains a line . Then the set has size at least where is a constant that only depends on .
Proof: The proof we give will show that has size at least . The bound of can be obtained using the same method with a little additional work.
Assume we have a Kakeya set with
Consider the set of monomials of the form of degree exactly . There are exactly such monomials. Thus, there exists a nonzero homogeneous polynomial of degree that vanishes on all points in . Note this is because finding such a polynomial reduces to solving a system of linear equations for the coefficients.
Now we will use the property that is a Kakeya set to show that must vanish on all of . Clearly . Next, for , there is an such that the line is contained in . Since is homogeneous, if for some then for any . In particular
for all nonzero . However, is a polynomial of degree in but it has at least roots corresponding to the nonzero elements of so it must be identically zero. In particular, plugging in we deduce .
We have shown that for all but has degree less than in each of the variables so this is impossible by the Schwartz–Zippel lemma. We deduce that we must actually have
Polynomial partitioning
A variation of the polynomial method, often called polynomial partitioning, was introduced by Guth and Katz in their solution to the Erdős distinct distances problem. Polynomial partitioning involves using polynomials to divide the underlying space into regions and arguing about the geometri |
https://en.wikipedia.org/wiki/Clawson%20point | In Euclidean geometry, the Clawson point is a special point in a triangle defined by the trilinear coordinates , where are the interior angles at the triangle vertices . It is named after John Wentworth Clawson, who published it 1925 in the American Mathematical Monthly. It is denoted X(19) in Clark Kimberling's Encyclopedia of Triangle Centers.
Geometrical constructions
There are at least two ways to construct the Clawson point, which also could be used as coordinate free definitions of the point. In both cases you have two triangles, where the three lines connecting their according vertices meet in a common point, which is the Clawson point.
Construction 1
For a given triangle , let be its orthic triangle and the triangle formed by the outer tangents to its three excircles. These two triangles are similar and the Clawson point is their center of similarity, therefore the three lines connecting their vertices meet in a common point, which is the Clawson point.
Construction 2
For a triangle , its circumcircle intersects each of its three excircles in two points. The three lines through those points of intersections form a triangle This triangle and are perspective triangles with the Clawson point being their perspective center. Hence the three lines meet in the Clawson point.
History
The point is now named after J. W. Clawson, who published its trilinear coordinates 1925 in the American Mathematical Monthly as problem 3132, where he asked for geometrical construction of that point. However the French mathematician
Émile Lemoine had already examined the point in 1886. Later the point was independently rediscovered by R. Lyness and G. R. Veldkamp in 1983, who called it crucial point after the Canadian math journal Crux Mathematicorum in which it was published as problem 682.
References
External links
X(19)=CLAWSON POINT und CLAWSON POINT at the Encyclopedia of trinagle Centers (ETC)
LE POINT CLAWSON PAR LES TRIANGLES ORTHIQUES ET EXTANGENT
Clawson Point: Orthic Triangle, Extangents Triangle, Homothecy or Homothety
Triangle centers |
https://en.wikipedia.org/wiki/Vertical%20and%20horizontal%20%28disambiguation%29 | Vertical and horizontal are concepts, and may refer to:
Vertical and horizontal, a concept in mathematics, geography, physics and other sciences
Vertical and horizontal integration, a concept in economics
Vertical and horizontal markets (disambiguation), another concept in economics
Vertical and horizontal writing in East Asian scripts, Asian writing systems
Vertical and horizontal bundles, mathematical fiber bundles |
https://en.wikipedia.org/wiki/Hamipteridae | Hamipteridae (or hamipterids) is a small family of anhanguerian pterosaurs known from the Early Cretaceous of China and Spain.
Classification
The cladogram below follows the topology recovered by Pêgas et al. (2019). In the analysis, they assigned Hamipteridae as the sister taxon of the family Anhangueridae, both within the larger clade Anhangueria.
References
Pteranodontoids
Prehistoric reptile families |
https://en.wikipedia.org/wiki/Ted%20Vaux | Edward Vaux (2 September 1916 – 6 April 2002) was an English professional footballer who played in the Football League for Mansfield Town as a full back.
Career statistics
References
1916 births
2000 deaths
English men's footballers
English Football League players
Thorne Colliery F.C. players
Goole Town F.C. players
Mansfield Town F.C. players
Chelsea F.C. players
Peterborough United F.C. players
Men's association football fullbacks
Glentoran F.C. players
Gainsborough Trinity F.C. players
Hull City A.F.C. wartime guest players
Chelmsford City F.C. wartime guest players
People from Goole |
https://en.wikipedia.org/wiki/Mathematica%20Applicanda | Mathematica Applicanda is a peer-reviewed scientific journal covering applied mathematics. It was established in 1973 by the Polish Mathematical Society as Series III of the Annales Societatis Mathematicae Polonae, under the name Matematyka Stosowana (ISSN 0137-2890). The first editor-in-chief was Marceli Stark. In 1999 the journal was renamed Matematyka Stosowana-Matematyka dla Społeczeństwa (ISSN 1730-2668 ). Since 2012 its main issue is the electronic one with the name Mathematica Applicanda with ISSN 2299-4009.
Former Editors-in-chief
Marceli Stark (volume I)
Robert Bartoszyński (volumes II - XXIX)
Andrzej Kiełbasiński (volumes XXX - XLI)
Witold Kosiński (volumes XLII - LIV)
Krzysztof J. Szajowski (volumes LV - LXIII)
Krzysztof Burnecki (volume LXIV)
Abstracting and indexing
The journal is abstracted and indexed in
MathSciNet
Zentralblatt MATH
CEON The Library of Science (Biblioteka Nauki)
BazTech
Scopus
See also
List of mathematical physics journals
List of probability journals
List of statistics journals
References
External links
Mathematics journals
Academic journals established in 1973
English-language journals
Biannual journals |
https://en.wikipedia.org/wiki/William%20Clement%20%28academic%29 | William Clement (1707 – 15 January 1782) was an Irish academic who spent his whole career at Trinity College Dublin (TCD), teaching botany, natural philosophy, mathematics and medicine there. He was the third Erasmus Smith's Professor of Natural and Experimental Philosophy at TCD (1745-1759).
Life and career
William Clement was born in Carrickmacross, County Monaghan, son of merchant Thomas Clement. He matriculated at TCD on 28 April 1722 at the age of 14. He was a Scholar in 1724 and received BA (1726), MA (1731). He was elected a Fellow in 1733, and later took medical degrees MB (1747), MD (1748). He was appointed Lecturer in Botany (1733), Erasmus Smith's Professor of Natural and Experimental Philosophy (1745–1759), Donegall Lecturer in Mathematics (1750–1759), and Regius Professor of Physic (1761–1781). He also served as Vice-Provost. Clement was MP for Dublin University from 1761 to 1768; and then for Dublin City until 1776.
References
External links
Burtchaell, G. D., and Sadleir, T. U. (eds), Alumni Dublinensis: A Register of the Students, Graduates, Professors and Provosts of Trinity College in the University of Dublin, 1593–1860 (Dublin, 1935), p. 156
Academics of Trinity College Dublin
Alumni of Trinity College Dublin
Fellows of Trinity College Dublin
Scholars of Trinity College Dublin
Donegall Lecturers of Mathematics at Trinity College Dublin
18th-century Irish botanists
18th-century Irish mathematicians
People from Carrickmacross
1707 births
1782 deaths
Irish MPs 1761–1768
Irish MPs 1769–1776
Members of the Parliament of Ireland (pre-1801) for County Dublin constituencies
Scientists from County Monaghan
Scholars and academics from County Monaghan |
https://en.wikipedia.org/wiki/Darmois%E2%80%93Skitovich%20theorem | In mathematical statistics, the Darmois–Skitovich theorem characterizes the normal distribution (the Gaussian distribution) by the independence of two linear forms from independent random variables. This theorem was proved independently by G. Darmois and V. P. Skitovich in 1953.
Formulation
Let be independent random variables. Let be nonzero constants. If the linear forms and are independent then all random variables have normal distributions (Gaussian distributions).
History
The Darmois–Skitovich theorem is a generalization of the Kac–Bernstein theorem in which the normal distribution (the Gaussian distribution) is characterized by the independence of the sum and the difference of two independent random variables. For a history of proving the theorem by V. P. Skitovich, see the article
References
Mathematical theorems |
https://en.wikipedia.org/wiki/Kac%E2%80%93Bernstein%20theorem | The Kac–Bernstein theorem is one of the first characterization theorems of mathematical statistics. It is easy to see that if the random variables and are independent and normally distributed with the same variance, then their sum and difference are also independent. The Kac–Bernstein theorem states that the independence of the sum and difference of two independent random variables characterizes the normal distribution (the Gauss distribution). This theorem was proved independently by Polish-American mathematician Mark Kac and Soviet mathematician Sergei Bernstein.
Formulation
Let and are independent random variables. If and are independent then and have normal distributions (the Gaussian distribution).
Generalization
A generalization of the Kac–Bernstein theorem is the Darmois–Skitovich theorem, in which instead of sum and difference linear forms from n independent random variables are considered.
References
Kac M. "On a characterization of the normal distribution," American Journal of Mathematics. 1939. 61. pp. 726—728.
Bernstein S. N. "On a property which characterizes a Gaussian distribution," Proceedings of the Leningrad Polytechnic Institute. 1941. V. 217, No 3. pp. 21—22.
Theorems in statistics
Normal distribution |
https://en.wikipedia.org/wiki/Riemann%20Prize | The Riemann Prize is a mathematics prize awarded every three years to outstanding mathematicians between 40 and 65 years of age, given by the Riemann International School of Mathematics in Italy. The award is named in honor of Bernhard Riemann. Established in 2019, it was first awarded to Terence Tao in 2020. It is co-sponsored by the regional government of Lombardy, all public and private universities in the region, and the municipality of Varese.
The winner of the Prize is selected by an international committee, the first one composed by: Enrico Bombieri (IAS), Daniele Cassani (RISM - University of Insubria), S.-Y. Alice Chang (Princeton University), Ron Donagi (University of Pennsylvania), Louis Nirenberg (CIMS - NYU, 1925–2020).
Recipients
See also
List of mathematics awards
Notes
Mathematics awards
Awards established in 2019
Awards with age limits |
https://en.wikipedia.org/wiki/Psychon%20%28neurology%29 | A psychon was a minimal unit of psychic activity proposed by Warren McCulloch and Walter Pitts in "A Logical Calculus of Ideas Immanent in Nervous Activity" in 1943, where it was posited to be "no less than the activity of a single neuron." McCulloch was later to reflect that he intended to invent a kind of "least psychic event" with the following properties:
it either happened or else it did not happen.
it would happen only if it was the product of a temporal antecedent.
it was to lead to subsequent psychons.
these could be compounded to produce the equivalents of more complicated propositions concerning their antecedents.
This dual value logic was adopted by Jacques Lacan and applied to psychoanalysis.
Significance
The psychon was a primitive model of what would eventually become known as the all or nothing principle of neuron firing.
References
Neurology
Cybernetics |
https://en.wikipedia.org/wiki/Juan%20Jan%C3%A9 | Juan Jané (born 31 May 1953) is a Spanish water polo player. He competed at the 1968 Summer Olympics and the 1972 Summer Olympics.
See also
Spain men's Olympic water polo team records and statistics
List of Olympic champions in men's water polo
List of world champions in men's water polo
References
External links
1953 births
Living people
Water polo players from Barcelona
Spanish male water polo players
Olympic water polo players for Spain
Water polo players at the 1968 Summer Olympics
Water polo players at the 1972 Summer Olympics
Spanish water polo coaches
Spain men's national water polo team coaches
Water polo coaches at the 1996 Summer Olympics
Water polo coaches at the 2000 Summer Olympics
Water polo coaches at the 2004 Summer Olympics
China women's national water polo team coaches
Water polo coaches at the 2008 Summer Olympics
Water polo coaches at the 2012 Summer Olympics |
https://en.wikipedia.org/wiki/John%20William%20Helton | John William "Bill" Helton (Bill Helton) (born 1945) is a professor emeritus of mathematics from the University of California at San Diego.
Helton is a Guggenheim Fellow and Fellow of the American Mathematical Society and the Institute of Electrical and Electronics Engineers. He has worked in the fields of operator theory, Hilbert space operators, control theory, algebraic geometry, and noncommutative computer algebra during his career. He organized the first International Workshop on Operator Theory and its Applications which has spawned revolutionary cross-discipline research for over forty years.
Academic career
Bill Helton received the bachelor’s degree in mathematics from the University of Texas, Austin, and the Master’s and Ph.D degree in mathematics from Stanford University. He was at
SUNY, Stony Brook, as an Assistant and Associate Professor. He visited University of California at Los Angeles for six months and
subsequently moved to University of California at San Diego where he became a Full Professor. He was one of the originators of noncommutative geometry. His earlier articles concerned circuit theory, distributed systems, and aspects of the theory of operators on Hilbert space which come from circuits, systems, differential and integral equations, and spectral theory. The theoretical studies of amplifier design by Helton and Youla were the first papers in the now ubiquitous area called H-infinity engineering.
The focus of Helton’s recent work is treating the algebra behind matrix inequalities in a systematic way; this has necessitated development of real algebraic geometry for non-commutative polynomials. His seminal result in this area is the non-commutative version of Hilbert's Nullstellensatz. A related interest is computer algebra and Helton’s research group has been the main provider to Wolfram Mathematica of general non-commutative computer
algebra capability.
Publications
Books
J. William Helton and Charles R. Johnson, Operator Theory, Analytic Functions, Matrices and Electrical Engineering, American Math Society, 1987.
J. William Helton and Orlando Merino, ""Classical Control Using H-infty Methods", SIAM, 1998.
J. William Helton and Matt James, "Extending H-infinity Control to Nonlinear Systems", SIAM, Dec. 1999.
Papers
Over 250 technical papers in various journals over 50 years.
References
External links
Helton's UCSD Faculty Research Profile
Papers of Bill Helton – a list of the papers written by Bill Helton
Living people
Fellow Members of the IEEE
Fellows of the American Mathematical Society
Stanford University alumni
University of California, San Diego faculty
University of Texas at Austin alumni
1945 births |
https://en.wikipedia.org/wiki/Casey%20Mann | Casey Mann is an American mathematician, specializing in discrete and computational geometry, in particular tessellation and knot theory. He is Professor of Mathematics at University of Washington Bothell, and received the PhD at the University of Arkansas in 2001.
He is known for his 2015 discovery, with Jennifer McLoud-Mann and undergraduate student David Von Derau, of the 15th and last class of convex pentagons to tile the plane.
Mann is also known for his work on Heesch's problem, to which he contributed a polygon with Heesch number 5. This problem is closely related to the einstein problem, of whether there exists a shape that can tessellate space, but only in a non-periodic way.
Education and career
Mann received his B.S. in mathematics at East Central University in Ada, Oklahoma, and completed his Ph.D. in 2001 from the University of Arkansas. His dissertation in discrete geometry, supervised by Chaim Goodman-Strauss, was Heesch's Problem and Other Tiling Problems.
Upon completing his doctorate, Mann joined the University of Texas at Tyler faculty for eleven years.. He joined the faculty of University of Washington Bothell in 2013, where he is active in engaging undergraduate students in research.
References
External links
Casey Mann's website
Living people
University of Arkansas alumni
University of Texas at Tyler faculty
University of Washington Bothell faculty
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/%C3%98lstykke-Stenl%C3%B8se | Ølstykke-Stenløse is a city located in the Egedal Municipality, in the Capital Region of Denmark. Both Ølstykke and Stenløse has been counted as one city by Statistics Denmark from 1 January 2010, and it forms the eastern part of the city closest to Copenhagen, 25 kilometers in a straight line northwest of City Hall Square, as well as Gammel Ølstykke and Ølstykke Stationsby in the west. It is Denmark's 29th largest city (2023), with a population of 23,130 (2023), and the largest city in Egedal Municipality.
Notable people
Lars Hendriksen (born 1966 in Ølstykke) a Danish sailor, competed at the 1992 Summer Olympics
Tine Scheuer-Larsen (born 1966 in Ølstykke) a retired female tennis player
Mark Gundelach (born 1992 in Stenløse) a Danish football midfielder, who plays for FC Roskilde
Nicklas Strunck (born 1999 in Stenløse) a Danish footballer who plays for FC Groningen
References
Cities and towns in the Capital Region of Denmark
Populated places established in 2010
2010 establishments in Denmark
Egedal Municipality |
https://en.wikipedia.org/wiki/Pentahexagonal%20pyritoheptacontatetrahedron | In geometry, a pentahexagonal pyritoheptacontatetrahedron is a near-miss Johnson solid with pyritohedral symmetry. This near-miss was discovered by Mason Green in 2006. It has 6 hexagonal faces, 12 pentagonal faces, and 56 triangles in 3 symmetry positions. Mason calls it a hexagonally expanded snubbed dodecahedron.
With regular hexagons and pentagons it is a symmetrohedron. The triangles are not equilateral, with triangle-triangle edges compressed by 1.8%.
It has 3 vertex configurations, 3.3.5.6, 3.5.3.6, 3.3.3.3.5, with the last shared in the snub dodecahedron.
See also
Tetrated dodecahedron has tetrahedral symmetry
References
External links
Near Misses
24 Johnson Solid Near Misses
Polyhedra |
https://en.wikipedia.org/wiki/Iain%20Gordon | Iain Gordon, FRSE, is a mathematician, currently Iain Gordon is Professor of Mathematics, Vice-Principal and Head of the College of Science and Engineering at the University of Edinburgh. His field of specialisation is representation theory and noncommutative algebra.
Education and Career
Gordon studied mathematics as an undergraduate at the University of Bristol (1991–94), took Part III at Magdalene College, the University of Cambridge (1994–95), and completed his PhD on Representations of Quantised Function Algebras at Roots of Unity at the University of Glasgow under the supervision of Ken Brown (1995–1998). He was the Seggie Brown Fellow in Edinburgh (1998–99) and a postdoc at the Bielefeld University, the University of Antwerp and MSRI (1999–2000). He was a lecturer and then reader in the Department of Mathematics at the University of Glasgow (2000–2006), and since then has been the Professor of Mathematics at the University of Edinburgh.
In 2005, Gordon was awarded the Berwick Prize of the London Mathematical Society for his article Baby Verma modules for rational Cherednik algebras. In 2008 he was awarded a 5-year EPSRC Leadership Fellowship to support his research on Rigid Structure in Noncommutative, Geometric and Combinatorial Problems. In 2010 he was elected as a Fellow of the Royal Society of Edinburgh and was an invited speaker at the International Congress of Mathematicians in Hyderabad on Rational Cherednik Algebras. In 2014 he won the Edinburgh University Student Association's Van Heyningen Award for Teaching in Science and Engineering. Since 2018, he has been the Principal Investigator on a 6-year EPSRC Programme Grant with Arend Bayer, Tom Bridgeland, Agata Smoktunowicz and Michael Wemyss on Enhancing Representation Theory, Noncommutative Algebra and Geometry. He was elected as Vice President of the London Mathematical Society in 2019.
He had been Head of School of Mathematics at the University of Edinburgh between 2014 and 2021, at which point he was succeeded by Prof
Bernd J Schroers. Iain has been Vice-Principal and Head of the College of Science and Engineering at the University of Edinburgh since 2021.
References
Year of birth missing (living people)
Living people
21st-century British mathematicians
Professorships at the University of Edinburgh
Alumni of the University of Bristol
Alumni of Magdalene College, Cambridge
Alumni of the University of Glasgow |
https://en.wikipedia.org/wiki/Theorem%20of%20transition | In algebra, the theorem of transition is said to hold between commutative rings if
dominates ; i.e., for each proper ideal I of A, is proper and for each maximal ideal of B, is maximal
for each maximal ideal and -primary ideal of , is finite and moreover
Given commutative rings such that dominates and for each maximal ideal of such that is finite, the natural inclusion is a faithfully flat ring homomorphism if and only if the theorem of transition holds between .
References
Theorems in ring theory |
https://en.wikipedia.org/wiki/Laura%20Hoffmann | Laura Hoffmann (born 12 August 1991) is a German footballer who plays as a defender for SpVg Berghoven.
Career
Statistics
References
External links
1991 births
Living people
People from Meschede
Footballers from Arnsberg (region)
German women's footballers
Women's association football defenders
Frauen-Bundesliga players
2. Frauen-Bundesliga players
SG Wattenscheid 09 (women) players
SGS Essen players
VfL Bochum (women) players |
https://en.wikipedia.org/wiki/Carina%20Schl%C3%BCter | Carina Schlüter (born 8 November 1996) is a German footballer who plays as a goalkeeper for RB Leipzig. She has also played some matches for Germany.
Career
Statistics
References
External links
1996 births
Living people
People from Minden
Footballers from Detmold (region)
German women's footballers
Germany women's international footballers
Women's association football goalkeepers
Frauen-Bundesliga players
2. Frauen-Bundesliga players
VfL Bochum (women) players
SC Sand players
FC Bayern Munich (women) players
Germany women's youth international footballers |
https://en.wikipedia.org/wiki/Chang-Shou%20Lin | Chang-Shou Lin (; born 17 April 1951) is a Taiwanese mathematician.
Lin completed his bachelor's and master's degrees in mathematics at National Taiwan University. He then completed doctoral study at New York University in the United States in 1983, and was a member of the Institute for Advanced Study between 1984 and 1985. He taught at NTU from 1987 to 1990, when he joined the faculty of National Chung Cheng University. Lin was director of the National Center for Theoretical Sciences between 1993 and 2003. In 2006, Lin returned to NTU as director of the Institute for Mathematical Sciences.
In his research, Lin has explored mean field theory and Eisenstein series. Lin was elected a member of Academia Sinica in 1998, received the Morningside Medal that same year, and was awarded Taiwan's in 2001. He is an editor of the Bulletin of the Institute of Mathematics, published by Academia Sinica. In 2014, Lin was invited to speak at the International Congress of Mathematicians conference in Seoul, South Korea.
Lin was critical of the Democratic Progressive Party response to the Sunflower Student Movement, and has signed petitions backing required mathematics education for Taiwanese senior high school students, and against the nuclear energy question posed by the 2018 Taiwanese referendum.
References
1951 births
Living people
21st-century Taiwanese mathematicians
Taiwanese expatriates in the United States
20th-century Taiwanese mathematicians
Columbia University alumni
Members of Academia Sinica
Academic staff of the National Chung Cheng University
National Taiwan University alumni
Academic staff of the National Taiwan University |
https://en.wikipedia.org/wiki/Jessica%20Kuster | Jessica Kuster (born 20 August 1992) is an American professional basketball player.
College
Kuster played college basketball at Rice University in Houston, Texas for the Owls.
Statistics
|-
|2010–11
| align="left" |Rice
|32
|–
|29.0
|.459
|.352
|.737
|10.6
|0.9
|0.9
|2.0
|2.1
|14.0
|-
|2011–12
| align="left" |Rice
|30
|–
|32.0
|.430
|.281
|.716
|11.1
|0.9
|1.9
|1.6
|2.7
|17.3
|-
|2012–13
| align="left"|Rice
|30
|–
|34.0
|.402
|.228
|.766
|10.0
|2.5
|0.9
|1.4
|2.8
|16.1
|-
|2013–14
| align="left"|Rice
|30
|–
|37.0
|.434
|.339
|.810
|13.3
|2.5
|1.6
|1.4
|3.1
|20.9
|-
|Career
|
|122
|–
|25.1
|.430
|.299
|.757
|11.2
|1.7
|1.3
|1.6
|2.7
|17.0
Career
College career
The Rice all-time leading scorer (women or men) with 2,081 points... C-USA and Rice all-time leader in career double-doubles (67) ... C-USA and Rice all-time leader in rebounds (1,376) .... Only player in C-USA history to be named to both the First-Team All-Conference and the All-Defensive Team all four seasons ... One of just 145 players in NCAA Div. I history to record over 2,000 career points and 1,000 career rebounds ... Joined Middle Tennessee's Ebony Rowe as the only players to have averaged a double double in each of their four seasons ... Became the quickest Rice player to reach 1,000 career points (two seasons and two games), the eighth to reach the milestone as the junior and the 18th Rice player overall to reach 1,000 points ... Rice record holder for career field goals made (745) and career made free throws (550).
WNBA
After going undrafted in 2014, Kuster was then signed by the San Antonio Stars to a training camp contract. Kuster was waived before the beginning of the season.
In 2015, Kuster was signed as a free-agent to the Tulsa Shock training camp roster. Kuster was waived in June during the final cuts ahead of the season.
Europe
In 2014, Kuster travelled to Europe to begin her professional career, signing with CSU Alba Iulia in the Liga Națională in Romania. In 2015, Kuster would remain in Europe, signing with Basketball Nymburk in the Czech National League. In her 2015–16 season with Nymburk, Kuster was both a Czech Cup champion and MVP. She was also named to the all import team. In her third professional year, Kuster signed with PEAC-Pécs in Hungary's Nemzeti Bajnokság I/A for 2016–17. In 2017, Kuster would debut in the Italian league, Serie A1, after signing with Ragusa. She would play two seasons with Ragusa and was an Italian Cup in her second season with the club.
WNBL
In May 2019, Kuster was signed by the Sydney Uni Flames in Australia's WNBL for the 2019–20 season. After a successful debut season in Australia, Kuster then announced that she would retire from basketball to pursue full-time ministry.
References
1992 births
Living people
American women's basketball players
Forwards (basketball)
Rice Owls women's basketball players
Sydney Uni Flames players
American expatriate sportspeople in Australia |
https://en.wikipedia.org/wiki/Carleman%20linearization | In mathematics, Carleman linearization (or Carleman embedding) is a technique to transform a finite-dimensional nonlinear dynamical system into an infinite-dimensional linear system. It was introduced by the Swedish mathematician Torsten Carleman in 1932. Carleman linearization is related to composition operator and has been widely used in the study of dynamical systems. It also been used in many applied fields, such as in control theory and in quantum computing.
Procedure
Consider the following autonomous nonlinear system:
where denotes the system state vector. Also, and 's are known analytic vector functions, and is the element of an unknown disturbance to the system.
At the desired nominal point, the nonlinear functions in the above system can be approximated by Taylor expansion
where is the partial derivative of with respect to at and denotes the Kronecker product.
Without loss of generality, we assume that is at the origin.
Applying Taylor approximation to the system, we obtain
where and .
Consequently, the following linear system for higher orders of the original states are obtained:
where , and similarly .
Employing Kronecker product operator, the approximated system is presented in the following form
where , and and matrices are defined in (Hashemian and Armaou 2015).
See also
Carleman matrix
Composition operator
References
External links
A lecture about Carleman linearization by Igor Mezić
Dynamical systems
Functions and mappings
Functional analysis |
https://en.wikipedia.org/wiki/Robert%20Shawe | Robert Shawe (circa 1699 to 1752) was an Irish academic who spent his final years as a clergyman. He was Donegall Lecturer of maths at Trinity College Dublin (TCD) from 1734 to 1735.
Life and career
Shawe was born in near Athenry, in county Galway, Ireland. He attended TCD, being elected a scholar in 1717. He graduated BA in 1719, obtained MA in 1722, and was elected a Fellow the same year (replacing Richard Helsham). He was Professor of Oratory and History (1732-1738). In 1734, he was awarded DD and became Donegall Lecturer of mathematics for a year, also serving as vice-provost (1734-1744). He was appointed Regius Professor of Laws (1740-1743). In 1743 he became the rector of Ardstraw, in County Tyrone.
References
Alumni of Trinity College Dublin
People from Athenry
Donegall Lecturers of Mathematics at Trinity College Dublin
Fellows of Trinity College Dublin
1699 births
1752 deaths
Scientists from County Galway
Christian clergy from County Galway
18th-century Irish Anglican priests |
https://en.wikipedia.org/wiki/Wang%20Bo%20%28footballer%2C%20born%201970%29 | Wang Bo (; born 3 April 1970) is a Chinese former football player and football manager. He is currently the interim manager of Chinese Super League side Beijing Renhe.
Managerial statistics
References
1970 births
Living people
Chinese football managers |
https://en.wikipedia.org/wiki/Koki%20Hinokio | is a Japanese professional footballer who plays as a midfielder for Polish club Stal Mielec.
Career statistics
Club
Notes
References
2001 births
Living people
Association football people from Osaka Prefecture
Japanese men's footballers
Men's association football midfielders
Ekstraklasa players
I liga players
II liga players
III liga players
Stomil Olsztyn S.A. players
Zagłębie Lubin players
Stal Mielec players
Japanese expatriate men's footballers
Expatriate men's footballers in Poland
Japanese expatriate sportspeople in Poland |
https://en.wikipedia.org/wiki/Manuel%20Delgado | Manuel Delgado (born 19 May 1955) is a Spanish water polo player. He competed in the men's tournament at the 1980 Summer Olympics.
See also
Spain men's Olympic water polo team records and statistics
List of men's Olympic water polo tournament goalkeepers
References
External links
1955 births
Living people
Water polo players from Barcelona
Spanish male water polo players
Water polo goalkeepers
Olympic water polo players for Spain
Water polo players at the 1980 Summer Olympics
20th-century Spanish people |
https://en.wikipedia.org/wiki/Angelo%20Lucena | Angelo Yonnier Lucena Soteldo (born 26 January 2003) is a Venezuelan footballer who plays as a midfielder for Portuguesa.
Career statistics
Club
Notes
References
2003 births
Living people
Venezuelan men's footballers
Venezuela men's youth international footballers
Men's association football midfielders
Portuguesa F.C. players
Venezuelan Primera División players
People from Guanare
21st-century Venezuelan people |
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