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https://en.wikipedia.org/wiki/Daniel%20Luxbacher | Daniel Luxbacher (born 13 March 1992) is an Austrian professional footballer who plays as an attacking midfielder for First Vienna.
Career statistics
References
Austrian men's footballers
Austrian Football Bundesliga players
2. Liga (Austria) players
1992 births
Living people
FC Lustenau 07 players
SC Rheindorf Altach players
Men's association football midfielders |
https://en.wikipedia.org/wiki/George%20Eason | Prof George Eason FRSE FIMA (1930–1999) was a British mathematician who was Professor of Mathematics at Strathclyde University from 1970 to 1983. He worked on the dynamical theory of elasticity, and wrote papers relating to mathematical solutions of problems of human biology, including heat transfer through skin, the light-scattering effects of blood, and analysis of blood oxygenators.
Life
He was born in Chesterfield, Derbyshire, England on 15 March 1930, the son of Henry Swindell Eason and Annie Shepherd Warchurst. He was raised in North Wingfield and educated at Clay Cross and in 1941 won a scholarship to attend Tupton Hall School. In 1948 he won a county scholarship, enabling him to study Mathematics and Physics at Birmingham University under Prof Rudolph Peierls, gaining a BSc in 1951 and MSc in 1952 (the latter technically being the first degree presented by Keele University). He received his doctorate (PhD) in 1954.
He first worked in the Royal Armament Research and Development Establishment in Kent as their Scientific Officer. In 1957 he began lecturing in Mathematics at Newcastle University under Prof Albert E. Green, then in 1961 he became Senior Lecturer in Mathematics at Strathclyde University. In 1970 he gained the professorship and stayed there until he retired in 1983.
In 1975 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were William D. Collins, Ian Sneddon, Norrie Everitt and Peter Ludwig Pauson.
He was also a Fellow of the Institute of Mathematics and its Applications.
In later life he retired to Aboyne in Aberdeenshire, Scotland and died there on 15 May 1999.
Family and private life
He married twice: first in 1958 to Olive Holdstock; secondly to Esme Burgess.
He had two daughters by his first marriage: Ann and Jill. The family then lived in Balfron.
He was a member of the Rotary Club of Strathendrick and served as their President for many year, being awarded the Paul Harris Fellowship for his services to the local community. He was also a keen marathon runner.
References
1930 births
1999 deaths
20th-century British mathematicians
Academics of Newcastle University
Academics of the University of Strathclyde
Alumni of Keele University
Alumni of the University of Birmingham
Fellows of the Royal Society of Edinburgh
People educated at Tupton Hall School
People from Aboyne
People from Chesterfield, Derbyshire
People from North Wingfield |
https://en.wikipedia.org/wiki/Bernhard%20Keller | Bernhard Keller (born 1962) is a Swiss mathematician, specializing in algebra. He is a professor at the University of Paris.
Keller received in 1990 his PhD from the University of Zurich under Pierre Gabriel with the thesis On Derived Categories.
His research is in homological algebra and the representation theory of quivers and finite-dimensional algebras. He has applied triangulated Calabi–Yau categories to the (additive) categorification
of cluster algebras.
In 2013, he received an honorary degree from the University of Antwerp.
In 2014 he received the Sophie Germain Prize.
He was an Invited Speaker at the International Congress of Mathematicians in Madrid in 2006,
with a talk On differential graded categories.
Keller is a fellow of the American Mathematical Society.
Selected works
with Idun Reiten:
References
External links
Bernhard Keller's homepage
1964 births
Algebraists
20th-century Swiss mathematicians
21st-century Swiss mathematicians
University of Zurich alumni
Academic staff of the University of Paris
Living people
Fellows of the American Mathematical Society |
https://en.wikipedia.org/wiki/Multiplicative%20independence | In number theory, two positive integers a and b are said to be multiplicatively independent if their only common integer power is 1. That is, for integers n and m, implies . Two integers which are not multiplicatively independent are said to be multiplicatively dependent.
As examples, 36 and 216 are multiplicatively dependent since , whereas 6 and 12 are multiplicatively independent.
Properties
Being multiplicatively independent admits some other characterizations. a and b are multiplicatively independent if and only if is irrational. This property holds independently of the base of the logarithm.
Let and be the canonical representations of a and b. The integers a and b are multiplicatively dependent if and only if k = l, and for all i and j.
Applications
Büchi arithmetic in base a and b define the same sets if and only if a and b are multiplicatively dependent.
Let a and b be multiplicatively dependent integers, that is, there exists n,m>1 such that . The integers c such that the length of its expansion in base a is at most m are exactly the integers such that the length of their expansion in base b is at most n. It implies that computing the base b expansion of a number, given its base a expansion, can be done by transforming consecutive sequences of m base a digits into consecutive sequence of n base b digits.
References
Number theory |
https://en.wikipedia.org/wiki/Oleg%20Besov | Oleg Vladimirovich Besov (; born 1933) is a Russian mathematician. He heads the Department of Function Theory at the Steklov Institute of Mathematics, where he defended his PhD in 1960 and habilitation in 1966. He was an Invited Speaker at the ICM in 1970 in Nice. He is professor at the Moscow Institute of Physics and Technology and a member of the Russian Academy of Sciences (since 1990) and European Academy of Sciences (since 2002). A festschrift was published in honor of Besov's 70th birthday.
See also
Besov space
Selected publications
with Valentin Petrovich Ilʹin and Sergeĭ Mikhaĭlovich Nikolʹskiĭ: Integral representations of functions and imbedding theorems. Vol. 1. V. H. Winston & Sons, 1978. Vol. 2, 1979.
References
1933 births
Living people
Russian mathematicians
Academic staff of the Moscow Institute of Physics and Technology |
https://en.wikipedia.org/wiki/List%20of%20last%20executions%20in%20the%20United%20States%20by%20crime | This is a list of the last executions in the United States for the crimes stated.
List of last persons to be executed for a crime other than murder
Statistics
From 1930 to 1967, 3859 criminals were executed, sorted in the following table:
See also
Capital punishment in the United States
Notes and references
Notes
References
Lists of people executed in the United States |
https://en.wikipedia.org/wiki/Charles%20Brenner%20%28mathematician%29 | Charles Hallam Brenner is an American mathematician who is the originator of forensic mathematics.
His father Joel Lee Brenner was a professor of mathematics and his mother Frances Hallam Brenner was a city councilor and briefly mayor of Palo Alto, California. His uncle Charles Brenner, MD was a psychiatrist.
Brenner received a B.S. from Stanford University in 1967, and a Ph.D. from the University of California, Los Angeles (UCLA) in 1984.
Brenner participated in the implementation of APL\360 and APL\1130,
and implemented the transpose and rotate primitive functions.
More recently, Brenner specializes in the use of mathematics in DNA analysis. His principal areas of interest and achievement in the mathematics of forensic DNA are kinship, rare haplotype matching, and DNA mixtures. In a couple of Y haplotype papers, most recently, he showed why Y haplotypes must be much rarer, and how much rarer, than their sample frequency in a reference population sample. Brenner’s Symbolic Kinship Program, which can for example assess the identification evidence based on DNA profiles from an anonymous body and an arbitrary set of presumed relatives, has been widely used in mass victim identification projects, including identifying about 1/3 of the identified World Trade Center bodies.
Brenner played a key role in the resolution of the Larry Hillblom inheritance case, resulting in four Amerasian children each receiving $50 million.
Anecdotes
Between 1968 and 1973, Brenner lived in London, U.K. and supported himself by playing contract bridge professionally.
Brenner asked Gordon, his advisor, “How far can you get in mathematics without being smart?”“Quite far,” he said.
References
External links
1945 births
Living people
American contract bridge players
APL implementers
American bioinformaticians
IBM employees
Number theorists
Palo Alto High School alumni
People from Palo Alto, California
People from Princeton, New Jersey
Stanford University alumni
University of California, Berkeley people
University of California, Los Angeles alumni |
https://en.wikipedia.org/wiki/Paul%20Dietel | Paul Dietel (15 February 1860, Greiz – 30 October 1947, Zwickau) was a German mycologist.
He studied mathematics and natural sciences at the universities of Leipzig, Berlin and Göttingen, and afterwards worked as a schoolteacher in Greiz, Leipzig, Reichenbach im Vogtland and Glauchau.
He specialized in research of rust fungi (Uredinales) — from 1887 to 1943 he was the author of 150 scientific papers on rusts. His extensive treatment of rust fungi in Engler and Prantl's Die Natürlichen Pflanzenfamilien was recognized as its definitive account for many years.
In 1897 Paul Christoph Hennings named the genus Dietelia (family Pucciniosiraceae) in his honor.
Selected writings
Beiträge zur Morphologie und Biologie der Uredineen, 1887 – On the morphology and biology of Uredinales.
"New Californian Uredineae" (published in English, 1893).
"Descriptions of new species of Uredineae and Ustilagineae, with remarks on some other species" (published in English, 1893).
"New North American Uredineae" (published in English, 1895).
References
External links
Bibliography of scientific works Cyberliber / Cybertruffle.
1860 births
1947 deaths
People from Greiz
Humboldt University of Berlin alumni
University of Göttingen alumni
Leipzig University alumni
German mycologists |
https://en.wikipedia.org/wiki/Nana%20Nafihou | Nana Nafiou Badarou (born 18 July 1991) is a Beninese footballer who plays as a defender.
Burgan SC
.
Career statistics
International
Statistics accurate as of match played 23 March 2016
References
1991 births
Living people
People from Porto-Novo
Sportspeople from Cotonou
Beninese men's footballers
Men's association football defenders
Men's association football midfielders
Union Douala players
ASPAC FC players
Mbabane Swallows F.C. players
ASO Chlef players
Wydad AC players
MC Oujda players
Burgan SC players
Elite One players
Benin Premier League players
Algerian Ligue Professionnelle 1 players
Botola players
Kuwait Premier League players
Benin men's international footballers
Beninese expatriate men's footballers
Beninese expatriate sportspeople in Cameroon
Beninese expatriate sportspeople in Eswatini
Beninese expatriate sportspeople in Algeria
Beninese expatriate sportspeople in Morocco
Beninese expatriate sportspeople in Kuwait
Expatriate men's footballers in Cameroon
Expatriate men's footballers in Eswatini
Expatriate men's footballers in Algeria
Expatriate men's footballers in Morocco
Expatriate men's footballers in Kuwait
Beninese expatriate sportspeople in Togo
Expatriate men's footballers in Togo
Gomido FC players |
https://en.wikipedia.org/wiki/G%C3%B6bel%27s%20sequence | In mathematics, Göbel's sequence is a sequence of rational numbers defined by the recurrence relation
with starting value
Göbel's sequence starts with
1, 1, 2, 3, 5, 10, 28, 154, 3520, 1551880, ...
The first non-integral value is x43.
Generalization
Göbel's sequence can be generalized to kth powers by
The least indices at which the k-Göbel sequences assume a non-integral value are
43, 89, 97, 214, 19, 239, 37, 79, 83, 239, ...
References
External links
Göbel's Sequence
Integer sequences
Recurrence relations |
https://en.wikipedia.org/wiki/Roy%20Gelmi | Roy Gelmi (born 1 March 1995) is a Swiss footballer who plays for FC Winterthur.
Personal life
Born in Switzerland, Gelmi is the son of a Dutch mother.
Career statistics
Honours
Individual
Swiss Super League Team of the Year: 2015–16
References
1995 births
People from Bülach District
Living people
Swiss men's footballers
Swiss people of Dutch descent
Men's association football defenders
FC St. Gallen players
FC Thun players
VVV-Venlo players
FC Winterthur players
Swiss Super League players
Eredivisie players
Swiss Challenge League players
Swiss expatriate men's footballers
Expatriate men's footballers in the Netherlands
Swiss expatriate sportspeople in the Netherlands
Footballers from the canton of Zürich |
https://en.wikipedia.org/wiki/Karel%20Majek | Karel Majek (born 15 July 1992) is a Czech Grand Prix motorcycle racer.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
References
1992 births
Living people
Czech motorcycle racers
125cc World Championship riders
People from Vyškov
Sportspeople from the South Moravian Region |
https://en.wikipedia.org/wiki/Ferry%20Stoffer | Ferry Stoffer (born 11 December 1985) is a Dutch Grand Prix motorcycle racer.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
References
1985 births
Living people
Dutch motorcycle racers
125cc World Championship riders
21st-century Dutch people |
https://en.wikipedia.org/wiki/Fortitudo%20Pallacanestro%20Bologna%20in%20international%20competitions | Fortitudo Pallacanestro Bologna history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
European competitions
Record
Fortitudo Pallacanestro Bologna has overall from 1976-77 (first participation) to 2008-09 (last participation): 173 wins against 111 defeats plus 2 draws in 286 games for all the European club competitions.
EuroLeague: 133–86 (219).
EuroCup Basketball: 6–10 (16).
FIBA Korać Cup: 34–15 plus 2 draws (51).
External links
FIBA Europe
Euroleague
ULEB
Eurocup
Fortitudo Bologna
Sport in Bologna |
https://en.wikipedia.org/wiki/Club%20Atl%C3%A9tico%20River%20Plate%20%28Montevideo%29%20statistics | These are the statistics of Uruguayan side River Plate collected among Primera División Uruguaya seasons, Copa Conmebol, Copa Sudamericana and Copa Libertadores.
Performance in Primera División
Matches in Primera División
Last update on Oct 8, 2022
Matches in Torneo Intermedio
Last update on Ago 2, 2022
Performance in CONMEBOL competitions
Copa Libertadores
1 appearance (2016)
Best: group stage (2016)
Matches in Copa Libertadores
Copa Sudamericana
8 appearances (2008, 2009, 2010, 2013, 2014, 2019, 2020 and 2022)
Best: semifinals (2009)
Matches in Copa Sudamericana
Copa CONMEBOL
2 appearances (1996 and 1998)
Best: quarterfinals (1996)
Matches in Copa Conmebol
References
River Plate Montevideo |
https://en.wikipedia.org/wiki/Francesco%20Barberino%20Benici | Francesco Barberino Benici (1642 – 1702) was an Italian mathematician.
He was among the first popularizers of mathematics for shopkeepers, along with Elia Del Re, Christopher Clavius, and Domenico Griminelli.
Works
References
Italian mathematicians
1702 deaths
1642 births |
https://en.wikipedia.org/wiki/Guglielmo%20Gargiolli | Guglielmo Gargiolli was a 17th-century Italian mathematician and engineer.
He was Lecturer of Mathematics at the University of Siena, and Lecturer of Military Engineering and Mathematics at the Court of Florence. His book, Iride celeste ("Celestial Iris"), was noted for its explanation of how to estimate from a distance the height of an object and its distance from the observer.
Works
References
17th-century deaths
17th-century Italian mathematicians
Italian military engineers |
https://en.wikipedia.org/wiki/Carlos%20Simpson | Carlos Tschudi Simpson (born 30 June 1962) is an American mathematician, specializing in algebraic geometry.
Simpson received his Ph.D. in 1987 from Harvard University, where he was supervised by Wilfried Schmid; his thesis was titled Systems of Hodge Bundles and Uniformization. He became a professor at the University of Toulouse III (Paul Sabatier University) and then at the University of Nice. He is research director of the Centre national de la recherche scientifique.
He works on moduli spaces of vector bundles, higher non-abelian de Rham cohomology (Hodge theory), the theory of higher categories and computer verification of mathematical proofs (e.g. verification of proofs within Zermelo–Fraenkel set theory using Coq). In his Ph.D. dissertation, Simpson studied the notion of system of Hodge bundles, which can be seen as a special case of the higher dimensional generalization of Higgs bundles introduced earlier by Nigel Hitchin. The Simpson correspondence (or the Corlette-Simpson correspondence, named after Kevin Corlette and Simpson) is a correspondence between Higgs bundles and representations of the fundamental group of a smooth, complex algebraic curve.
The Deligne–Simpson Problem, an algebraic problem associated with monodromy matrices, is named after Carlos Simpson and Pierre Deligne.
Simpson was an Invited Speaker with talk Nonabelian Hodge theory at the International Congress of Mathematicians in 1990 at Kyoto. In 2015 he received the Sophie Germain Prize.
Selected publications
References
External links
1962 births
Living people
20th-century American mathematicians
21st-century American mathematicians
Harvard University alumni
Academic staff of the University of Toulouse
Academic staff of Côte d'Azur University
Algebraic geometers
Topologists |
https://en.wikipedia.org/wiki/Emir%20Smajic | Emir Smajic (born 3 February 1989) is a Swedish-Bosnian footballer who currently plays for Västerås SK as a forward.
Career statistics
External links
1989 births
Living people
Men's association football forwards
Östersunds FK players
IK Sirius Fotboll players
Västerås SK Fotboll players
IF Brommapojkarna players
Achilles '29 players
Eerste Divisie players
Swedish men's footballers
Swedish expatriate men's footballers
Allsvenskan players
Superettan players
Ettan Fotboll players
Expatriate men's footballers in the Netherlands |
https://en.wikipedia.org/wiki/Steiner%27s%20conic%20problem | In enumerative geometry, Steiner's conic problem is the problem of finding the number of smooth conics tangent to five given conics in the plane in general position. If the problem is considered in the complex projective plane CP2, the correct solution is 3264 (). The problem is named after Jakob Steiner who first posed it and who gave an incorrect solution in 1848.
History
claimed that the number of conics tangent to 5 given conics in general position is 7776 = 65, but later realized this was wrong. The correct number 3264 was found in about 1859 by Ernest de Jonquières who did not publish because of Steiner's reputation, and by using his theory of characteristics, and by Berner in 1865. However these results, like many others in classical intersection theory, do not seem to have been given complete proofs until the work of Fulton and MacPherson in about 1978.
Formulation and solution
The space of (possibly degenerate) conics in the complex projective plane CP2 can be identified with the complex projective space CP5 (since each conic is defined by a homogeneous degree-2 polynomial in three variables, with 6 complex coefficients, and multiplying such a polynomial by a non-zero complex number does not change the conic). Steiner observed that the conics tangent to a given conic form a degree 6 hypersurface in CP5. So the conics tangent to 5 given conics correspond to the intersection points of 5 degree 6 hypersurfaces, and by Bézout's theorem the number of intersection points of 5 generic degree 6 hypersurfaces is 65 = 7776, which was Steiner's incorrect solution. The reason this is wrong is that the five degree 6 hypersurfaces are not in general position and have a common intersection in the Veronese surface, corresponding to the set of double lines in the plane, all of which have double intersection points with the 5 conics. In particular the intersection of these 5 hypersurfaces is not even 0-dimensional but has a 2-dimensional component. So to find the correct answer, one has to somehow eliminate the plane of spurious degenerate conics from this calculation.
One way of eliminating the degenerate conics is to blow up CP5 along the Veronese surface. The Chow ring of the blowup is generated by H and E, where H is the total transform of a hyperplane and E is the exceptional divisor. The total transform of a degree 6 hypersurface is 6H, and Steiner calculated (6H)5 = 65P as H5=P (where P is the class of a point in the Chow ring). However the number of conics is not (6H)5 but (6H−2E)5 because the strict transform of the hypersurface of conics tangent to a given conic is 6H−2E.
Suppose that L = 2H−E is the strict transform of the conics tangent to a given line. Then the intersection numbers of H and L are given by H5=1P, H4L=2P, H3L2=4P, H2L3=4P, H1L4=2P, L5=1P. So we have (6H−2E)5 = (2H+2L)5 = 3264P.
gave a precise description of exactly what "general position" means (although their two propositions about this are not quite right, and are co |
https://en.wikipedia.org/wiki/Steiner%27s%20problem | In mathematics, Steiner's problem (named after Jakob Steiner) may refer to:
Steiner's calculus problem
The Steiner tree problem
Steiner's conic problem |
https://en.wikipedia.org/wiki/Barry%20Arthur%20Cipra | Barry Arthur Cipra, an American mathematician and freelance writer, regularly contributes to Science magazine and SIAM News, a monthly publication of the Society for Industrial and Applied Mathematics. Along with Dana Mackenzie and Paul Zorn he is the author of several of the volumes in the American Mathematical Society series What's Happening in the Mathematical Sciences, a collection of articles about recent results in pure and applied mathematics oriented towards the undergraduate mathematics major.
Biography
Cipra got his Ph.D. from University of Maryland College Park in 1980. He was an instructor at The Massachusetts Institute of Technology and at Ohio State University. He was an assistant professor of mathematics at St. Olaf College in Northfield, Minnesota. Cipra received the 1991 Merten M. Hasse Prize from the Mathematical Association of America for his work on the Ising model. In 2005 he received the JPBM Communications Award.
Bibliography
What’s Happening in the Mathematical Sciences: Digits of Pi
The Best of the 20th Century: Editors Name Top 10 Algorithms SIAM News, Vol 33, No 4
Algebraic Geometers see Ideal Approach to Biology SIAM News, Vol 40, No 6
The Ising Model Is NP-Complete SIAM News, Vol 33, No 6.
Engineers Look to Kalman Filtering for Guidance SIAM News, Vol. 26, No. 5, August 1993.
Getting a Grip on Elliptic Curves, Jan 1989, Science, Volume 243, Issue 4887, pp. 30–31
Misteaks, And How to Find Them Before the Teacher Does, Boston : Academic Press, 1989,
Tribute to a Mathemagician (co-edited with Erik Demaine, Martin Demaine & Tom M. Rodgers), AK Peters (2004),
References
External links
Barry Cipra at the Mathematics Genealogy Project
Interview with Barry Cipra February 24, 2014
21st-century American mathematicians
20th-century American mathematicians
University of Maryland, College Park alumni
St. Olaf College faculty
Massachusetts Institute of Technology faculty
Ohio State University faculty
Living people
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Ravindra%20Shripad%20Kulkarni | Ravindra Shripad Kulkarni (born 1942) is an Indian mathematician, specializing in differential geometry. He is known for the Kulkarni–Nomizu product.
Education and career
Ravi S. Kulkarni received in 1968 his Ph.D. from Harvard University under Shlomo Sternberg with thesis Curvature and Metric. For the academic year 1980–1981 he was a Guggenheim Fellow.
He has served as the president of the Ramanujan Mathematical Society.
Selected publications
with Allan L. Edmonds & John H. Ewing:
with Allan L. Edmonds & Robert E. Stong:
with Gregory Constantine:
with Hyman Bass:
with Krishnendu Gongopadhyay:
as editor
with Ulrich Pinkall:
References
External links
Conformal Geometry and Riemann Surfaces: A Conference in Honor of Professor Ravi S. Kulkarni, posted 28 October 2013
1942 births
Living people
20th-century Indian mathematicians
21st-century Indian mathematicians
Differential geometers
Harvard University alumni
Queens College, City University of New York faculty
CUNY Graduate Center faculty
Johns Hopkins University faculty
Columbia University faculty
Indiana University Bloomington faculty |
https://en.wikipedia.org/wiki/Numerophobia | Numerophobia or mathematics anxiety is an anxiety disorder, where the condition is fear of dealing with numbers or mathematics. Sometimes numerophobia refers to fear of particular numbers.
Fears of specific numbers
Tetraphobia – fear of 4 (four)
Triskaidekaphobia – fear of 13 (thirteen)
Heptadecaphobia – fear of 17 (seventeen)
23 enigma – fear of 23 (twenty-three)
Curse of 39 – fear of 39 (thirty-nine)
Hexakosioihexekontahexaphobia – fear of 666 (six hundred sixty-six)
Number related superstitions in music
Curse of the ninth
27 Club
References
Phobias
Superstitions about numbers |
https://en.wikipedia.org/wiki/SolverStudio | SolverStudio is a free Excel plug-in developed at the University of Auckland that supports optimization and simulation modelling in a spreadsheet using an algebraic modeling language. It is popular in education, the public sector and industry for optimization users because it uses industry-standard modelling languages and is faster than traditional Excel optimisation approaches.
SolverStudio adds a text editor to Excel that is used to create a text-based optimization (or simulation) model using a modelling language such as PuLP, AMPL, GAMS or Julia/JuMP. SolverStudio also provides a tool for naming data on a spreadsheet (and specifying indices for this data), allowing the data to be used in the model. When the model is run, the system automatically reads input data from the spreadsheet and provides it to the model, and then writes the model results back to the spreadsheet.
SolverStudio works with a range of commercial and open source modelling systems. By default, it uses PuLP, an open-source Python COIN-OR modelling language. A second open-source Python option is Pyomo which supports non-linear and stochastic programming and provides access to a larger range of solvers. Another supported linear and non-linear modelling option is Julia/JuMP.
SolverStudio also makes the two popular commercial modelling languages, AMPL and GAMS available to Excel users. SolverStudio allows models written using these languages to be solved on the user's own PC, or in the cloud using NEOS.
The GNU clone of AMPL, GMPL (GNU MathProg Language) is included with SolverStudio.
SolverStudio includes the open-source COIN-OR CMPL modelling language, and the Python-based SimPy simulation language. SolverStudio supports general programming using both Python and IronPython, allowing these programming languages to be used to script Excel using the standard VBA interfaces.
References
External links
SolverStudio web site
COIN-OR, Computational Infrastructure for Operations Research
Mathematical optimization software
University of Auckland
Microsoft Office-related software |
https://en.wikipedia.org/wiki/Mehdi%20Kadi | Mehdi Kadi (born 21 September 1994) is a French footballer who plays as a forward for AS Cannes.
Career statistics
References
Living people
1994 births
Men's association football forwards
French men's footballers
Ligue 2 players
Championnat National players
Championnat National 2 players
Championnat National 3 players
Football Bourg-en-Bresse Péronnas 01 players
Jura Sud Foot players
FC Annecy players
AS Cannes players |
https://en.wikipedia.org/wiki/Luke%20Jones%20%28motorcyclist%29 | Luke Jones (born 23 September 1988) is a British Grand Prix motorcycle racer. He races in the British National Superstock 1000 Championship, aboard a Aprilia RSV4.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
References
1988 births
Living people
English motorcycle racers
125cc World Championship riders
FIM Superstock 1000 Cup riders |
https://en.wikipedia.org/wiki/Tom%20Hayward%20%28motorcyclist%29 | Tom Hayward (born 30 September 1982) is a British Grand Prix motorcycle racer.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
References
1982 births
Living people
British motorcycle racers
125cc World Championship riders |
https://en.wikipedia.org/wiki/M%C3%A1rcio%20Fernandes%20%28footballer%29 | Márcio Fernandes Figueiredo known as Márcio Fernandes (born 24 March 1962) is a Brazilian professional football coach and former player who played as a forward.
Career statistics
Honours
Players
Santos
Campeonato Paulista: 1978
Paysandu
Campeonato Paraense: 1981
Managers
Jabaquara
Campeonato Paulista Segunda Divisão: 2002
Red Bull Brasil
Campeonato Paulista Série A3: 2010
Brasiliense
Campeonato Brasiliense: 2013
Vila Nova
Campeonato Goiano Série B: 2015
Campeonato Brasileiro Série C: 2015, 2020
Remo
Campeonato Paraense: 2019
Paysandu
Copa Verde: 2022
References
1962 births
Living people
Footballers from Santos, São Paulo
Brazilian men's footballers
Men's association football forwards
Brazilian football managers
Campeonato Brasileiro Série A managers
Campeonato Brasileiro Série B managers
Campeonato Brasileiro Série C managers
Santos FC players
Paysandu Sport Club players
Esporte Clube Santo André players
Rio Branco Atlético Clube players
Associação Ferroviária de Esportes players
Esporte Clube XV de Novembro (Piracicaba) players
Grêmio Esportivo Sãocarlense managers
Clube Atlético Bragantino managers
Santos FC managers
Fortaleza Esporte Clube managers
Red Bull Bragantino II managers
Comercial Futebol Clube (Ribeirão Preto) managers
Brasiliense FC managers
Guarani FC managers
Vila Nova Futebol Clube managers
Botafogo Futebol Clube (SP) managers
Clube Atlético Linense managers
Esporte Clube XV de Novembro (Piracicaba) managers
ABC Futebol Clube managers
Joinville Esporte Clube managers
Associação Atlética Aparecidense managers
Clube do Remo managers
Esporte Clube Santo André managers
Londrina Esporte Clube managers
Paysandu Sport Club managers
Sampaio Corrêa Futebol Clube managers
Santos FC non-playing staff |
https://en.wikipedia.org/wiki/Nayuta%20Mizuno | is a Japanese Grand Prix motorcycle racer.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
References
1983 births
Living people
Japanese motorcycle racers
125cc World Championship riders |
https://en.wikipedia.org/wiki/Sebastian%20Eckner | Sebastian Eckner (born 3 June 1991) is a German motorcycle racer.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
References
1991 births
Living people
German motorcycle racers
125cc World Championship riders
Sportspeople from Dresden |
https://en.wikipedia.org/wiki/High%20dart%20average | The three-dart average in darts is the average score achieved with three darts thrown.
Averages are the most cited statistics in matches as they give a rough estimate of a player's form. The longer a match lasts, the harder it is to maintain a high average as low scoring legs or missed darts at a double bring the average down.
While there have been match averages of over 130 in floor tournaments, the world record only lists televised matches, which are easy to verify.
History
Michael van Gerwen is the current world record holder for a televised match with an average of 123.40 thrown in the 2016 Premier League against Michael Smith.
Peter Wright holds the record for highest Professional Darts Corporation live streamed match average (123.53), at Players Championship 29 in 2019.
Bobby George was the first player to throw an average of over 100 on television during the 1979 News of the World Darts Championship final against Alan Glazier.
Televised high averages
Men
Televised averages of 114 points or more.
Women
Televised high averages world record progression
Men
The world record progression before 1997 is subject to further research.
Women
Televised pairs high averages
Televised combined high averages
Highest televised averages by length of match in legs
This table shows the highest average for all matches containing at least as many legs as the number in the leftmost column. Set-play matches show the total number of legs won and lost across all sets.
Highest tournament winning averages
Note: These tournament averages were calculated by adding up the match averages and then dividing by the number of matches. The "true" tournament averages - which would be calculated by adding up the points scored divided by total darts thrown and multiplying by 3 - may differ, but cannot be accurately calculated for most tournaments due to this data being unavailable.
References
External links
High Averages on PDPA Professional Darts Player Association
Highest Averages on TV on The Darts Forum
Darts Averages on OnAverage
Darts Averages on Darts1
TV Averages +105 on The Stars Of Darts Forum
Darts terminology
Lists of darts players
Sports records and statistics
Superlatives in sports |
https://en.wikipedia.org/wiki/Football%20at%20the%201930%20Far%20Eastern%20Championship%20Games | Football at the 1930 Far Eastern Games, held in Tokyo, Japan was won by China.
Teams
Results
Winner
Statistics
Goalscorers
Notes
References
1930 in Japanese football
Football at the Far Eastern Championship Games
International association football competitions hosted by Japan
1930 in Asian football |
https://en.wikipedia.org/wiki/Ilya%20Nikolaevich%20Bronshtein | Ilya Nikolaevich Bronshtein (Russian: , German: , also written as ; born 1903, died 1976) was a Russian applied mathematician and historian of mathematics.
Work and life
Bronshtein taught at the Moscow State Technical University (MAMI), then the State College of Mechanical Engineering, on the Chair of Advanced Mathematics established in 1939. He also collaborated at the Zhukovsky Central Aerohydrodynamic Institute.
With Dmitrii Abramovich Raikov, Bronshtein authored a Russian handbook on elementary mathematics, mechanics and physics (), which was published in 1943.
Bronshtein is known as the author of a handbook of mathematics for engineers and students of technical universities, which he wrote together with Konstantin Adolfovic Semendyayev around the 1939/1940 timeframe. Hot lead typesetting for the work had already started when the Siege of Leningrad prohibited further development and the print matrices were relocated. After the war, they were first considered lost, but could be found again years later, so that the first edition of could finally be published in 1945. This was a major success and went through eleven editions in Russia and was translated into various languages, including German and English, until the publisher Nauka planned to replace it with a translation of the American Mathematical Handbook for Scientists and Engineers by Granino and Theresa M. Korn in 1968.
However, in a parallel development starting in 1970, the so called "Bronshtein and Semendyayev" (BS), which had been translated into German in 1958, underwent a major overhaul by a team of East-German authors around Günter Grosche, Viktor & Dorothea Ziegler (of University of Leipzig), to which Bronshtein himself could no longer contribute due to reasons of age. This was published in 1979 and spawned translations into many other languages as well, including a retranslation into Russian and an English edition. In 1986, the 13th Russian edition was published. The German 'Wende' and the later reunification led to considerable changes in the publishing environment in Germany between 1989 and 1991, which eventually resulted in two independent German publishing branches by Eberhard Zeidler (published 1995–2013) and by & Heiner Mühlig (published 1992–2020) to expand and maintain the work up to the present, again with translations into many other languages including English.
Publications
With Semendyayev: "Handbook of Mathematics for Engineers and Students of Technical Universities" (Справочник по математике для инженеров и учащихся втузов), Moscow, 1945
See also
Bronshtein and Semendyayev (BS)
Konstantin Adolfovic Semendyayev
References
Further reading
External links
Soviet mathematicians
Academic staff of Bauman Moscow State Technical University
Soviet historians
1903 births
1976 deaths
Historians of mathematics |
https://en.wikipedia.org/wiki/Ronald%20Beitler | Ronald Beitler (born 25 July 1977) is a Dutch Grand Prix motorcycle racer.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
References
1977 births
Living people
Dutch motorcycle racers
250cc World Championship riders
21st-century Dutch people |
https://en.wikipedia.org/wiki/Richard%20Loree%20Anderson | Richard Loree Anderson (April 20, 1915 – February 19, 2003) was an American econometrician. He was a Professor of Statistics at North Carolina State University from 1941 to 1966. In 1967, he took up chairmanship of the newly established Department of Statistics at the University of Kentucky, a position he held until 1979. In 1951 he was elected as a Fellow of the American Statistical Association. While a professor at the University of Kentucky, he consulted with a number of drug companies on clinical trials. Even before, he had been consulting several computer programming companies including IMSL, BMDP, and SAS.
References
External links
Material at NCSU Library
1915 births
2003 deaths
People from St. Joseph County, Indiana
American statisticians
DePauw University alumni
Iowa State University alumni
North Carolina State University faculty
University of Kentucky faculty
Fellows of the American Statistical Association |
https://en.wikipedia.org/wiki/Pallacanestro%20Olimpia%20Milano%20in%20international%20competitions | Olimpia Milano history and statistics in FIBA Europe and Euroleague Basketball (company) competitions.
European competitions
Worldwide competitions
Record
Olimpia Milano has overall, from 1958 (first participation) to 2015-16 (last participation): 338 wins against 207 defeats plus 2 draws in 547 games for all the European club competitions.
(1st–tier) FIBA European Champions Cup or FIBA European League or FIBA Euroleague or Euroleague: 185–146 (plus 1 draw) in 332 games.
(2nd–tier) FIBA European Cup Winners' Cup or FIBA Eurocup or FIBA Saporta Cup: 59–33 in 92 games.
(2nd–tier) ULEB Cup or Eurocup: 15–7 in 22 games.
(3rd–tier) FIBA Korać Cup: 79–21 (plus 1 draw) in 101 games.
Also Olimpia has a 7 (w) - 3 (d) record in the FIBA Intercontinental Cup or FIBA Club World Cup and a 1 (w) - 3 (d) record in the McDonald's Championship.
External links
FIBA Europe
EuroLeague
ULEB
EuroCup
Europe
Milano |
https://en.wikipedia.org/wiki/List%20of%20the%20largest%20trading%20partners%20of%20United%20Kingdom | This is a list of the largest trading partners of United Kingdom based on data from Office for National Statistics Pink Book for 2017 Goods and Services.
{|
|-
| style="vertical-align:top;" |
References
Foreign trade of the United Kingdom
Economy-related lists of superlatives
Lists of trading partners
Trading partners |
https://en.wikipedia.org/wiki/Thomas%20Tallevi | Thomas Tallevi (born 20 December 1982) is an Italian Grand Prix motorcycle racer.
Career statistics
CIV 125cc Championship
Races by year
(key) (Races in bold indicate pole position; races in italics indicate fastest lap)
Grand Prix motorcycle racing
By season
Races by year
References
1982 births
Living people
Italian motorcycle racers
250cc World Championship riders |
https://en.wikipedia.org/wiki/Morgan%20Kamin | Morgan Kamin (born 23 January 1994) is a French footballer who plays as a midfielder for Thonon Évian.
Career statistics
References
1994 births
Living people
Men's association football midfielders
French men's footballers
Ligue 2 players
Thonon Evian Grand Genève FC players
Louhans-Cuiseaux FC players
SC Toulon players
FC Annecy players |
https://en.wikipedia.org/wiki/2016%E2%80%9317%20Scottish%20Professional%20Football%20League | Statistics of the Scottish Professional Football League in season 2016–17.
Scottish Premiership
Scottish Championship
Scottish League One
Scottish League Two
Award winners
Yearly
Monthly
See also
2016–17 in Scottish football
References
Scottish Professional Football League seasons |
https://en.wikipedia.org/wiki/NeuroMat | The Research, Innovation, and Dissemination Center for Neuromathematics (RIDC NeuroMat, or simply NeuroMat) is a Brazilian research center established in 2013 at the University of São Paulo that is dedicated to integrating mathematical modeling and theoretical neuroscience. Among the core missions of NeuroMat are the creation of a new mathematical system to understanding neural data and the development of neuroscientific open-source computational tools, keeping an active role under the context of open knowledge, open science and scientific dissemination. The research center is headed by Antonio Galves, from USP's Institute of Mathematics and Statistics, and is funded by the São Paulo Research Foundation (FAPESP). As of 2019, the co-principal investigators are Oswaldo Baffa Filho (USP), Pablo A. Ferrari (USP/UBA), Fernando da Paixão (UNICAMP), Antonio Carlos Roque (USP), Jorge Stolfi (UNICAMP), and Cláudia D. Vargas (UFRJ). Ernst W. Hamburger (USP) was the former director of scientific dissemination. NeuroMat's International Advisory Board consists of David R. Brillinger (UC Berkeley), Leonardo G. Cohen (NIH), Markus Diesmann (Jülich), Francesco Guerra (La Sapienza), Wojciech Szpankowski (Purdue).
Research
NeuroMat has been involved in the development of what has been called the Galves-Löcherbach model, a model with intrinsic stochasticity for biological neural nets, in which the probability of a future spike depends on the evolution of the complete system since the last spike.[1] This model of spiking neurons was developed by mathematicians Antonio Galves and Eva Löcherbach. In the first article on the model, in 2013, they called it a model of a "system with interacting stochastic chains with memory of variable length.
See also
Among the current large-scale international brain initiatives:
Allen Institute – from the USA
AusBrain – from Australia
BRAIN Initiative – from the USA
BRAINN - Brazilian Institute of Neuroscience and Neurotechnology – from Brazil
Brain/MINDS – from Japan
China Brain – from China
Human Brain Project – from Europe
IBT – Israel
Korea Brain Research Institute – from the Republic of Korea
References
External links
Official website
NeuroMat on Pesquisa FAPESP magazine
Research institutes in Brazil
Research institutes established in 2013
Neuroscience research centers in Brazil
Applied mathematics
University of São Paulo
2013 establishments in Brazil
Educational institutions established in 2013 |
https://en.wikipedia.org/wiki/Snub%20triapeirotrigonal%20tiling | In geometry, the snub triapeirotrigonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of s{3,∞}.
Related polyhedra and tiling
References
John H. Conway, Heidi Burgiel, Chaim Goodman-Strass, The Symmetries of Things 2008, (Chapter 19, The Hyperbolic Archimedean Tessellations)
See also
Square tiling
Uniform tilings in hyperbolic plane
List of regular polytopes
External links
Hyperbolic and Spherical Tiling Gallery
KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings
Hyperbolic Planar Tessellations, Don Hatch
Hyperbolic tilings
Isogonal tilings
Snub tilings
Uniform tilings |
https://en.wikipedia.org/wiki/Rudolf%20von%20Fischer-Benzon | Rudolf von Fischer-Benzon (2 February 1839 in Westermühlen – 17 July 1911 in Wyk auf Föhr) was a German schoolteacher and botanist.
He studied natural sciences and mathematics at the University of Kiel, where in 1866 he obtained his habilitation for mineralogy. In 1866 he embarked on a scientific journey to Norway and Sweden. Afterwards, he successively he worked as gymnasium teacher in Meldorf (from 1869), Hadersleben (from 1871), Husum (from 1874) and Kiel (from 1878). In 1889 he received the title of professor. In 1895 he was named librarian at the Schleswig-Holsteinische Landesbibliothek (Schleswig-Holstein state library) in Kiel.
Selected works
Mikroskopische Untersuchungen über die Structur des Halysites-Arten und einiger silurischer Gesteine aus den russischen Ostsse-Provinzen, 1871 – Microscopic studies on the structure of Halysites species and some Silurian rocks from the Russian Baltic governorates.
Die Moore der Provinz Schleswig-Holstein : eine vergleichende Untersuchung, 1891 – The moors in the Province of Schleswig-Holstein; a comparative study.
Altdeutsche Gartenflora, 1894 – Old German garden flora.
Katalog der Schleswig-Holsteinischen Landsbibliothek (1898–1907) – Catalog of the Schleswig-Holstein state library.
Die Flechten Schleswig-Holsteins, 1901 – Lichens of Schleswig-Holstein.
References
1839 births
1911 deaths
University of Kiel alumni
19th-century German botanists
German lichenologists
German librarians
People from Rendsburg-Eckernförde |
https://en.wikipedia.org/wiki/Quaternionic%20polytope | In geometry, a quaternionic polytope is a generalization of a polytope in real space to an analogous structure in a quaternionic module, where each real dimension is accompanied by three imaginary ones. Similarly to complex polytopes, points are not ordered and there is no sense of "between", and thus a quaternionic polytope may be understood as an arrangement of connected points, lines, planes and so on, where every point is the junction of multiple lines, every line of multiple planes, and so on. Likewise, each line must contain multiple points, each plane multiple lines, and so on. Since the quaternions are non-commutative, a convention must be made for the multiplication of vectors by scalars, which is usually in favour of left-multiplication.
As is the case for the complex polytopes, the only quaternionic polytopes to have been systematically studied are the regular ones. Like the real and complex regular polytopes, their symmetry groups may be described as reflection groups. For example, the regular quaternionic lines are in a one-to-one correspondence with the finite subgroups of U1(H): the binary cyclic groups, binary dihedral groups, binary tetrahedral group, binary octahedral group, and binary icosahedral group.
References
Quaternions |
https://en.wikipedia.org/wiki/H%C3%A9ctor%20Chang | Héctor Chang Lara is a Venezuelan mathematician working at CIMAT, Guanajuato unit, in Mexico. Chang received his BA in Mathematics from Simon Bolivar University in Venezuela, his MS from the University of New Mexico and his PhD in mathematics from the University of Texas at Austin, advised by Luis Caffarelli. Chang works in partial differential equations, specializing in elliptic and parabolic differential equations as well as integro-differential equations and free boundary problems.
Publications
Further Time Regularity for Non-Local, Fully Non-Linear Parabolic Equations. (CPAM)
Further time regularity for fully non-linear parabolic equations. (Math. Research Letters).
Estimates for concave, non-local parabolic equations with critical drift. (Journal of Integral Equations and Applications)
Hölder estimates for non-local parabolic equations with critical drift. (Journal of Differential Equations).
Shape Theorems for Poisson Hail on a Bivariate Ground. (Journal of Advances in Applied Probability).
Boundaries on Two-Dimensional Cones. (Journal of Geometric Analysis).
Regularity for solutions of nonlocal parabolic equations II. (Journal of Differential Equations).
Regularity for solutions of non local parabolic equations. (Calculus of Variations and Partial Differential Equations).
Regularity for solutions of nonlocal, non symmetric equations. (Ann. Inst. H. Poincaré Anal. Non Linéaire).
References
Year of birth missing (living people)
Living people
Columbia University faculty
Venezuelan mathematicians
University of New Mexico alumni
University of Texas at Austin College of Natural Sciences alumni
Simón Bolívar University (Venezuela) alumni |
https://en.wikipedia.org/wiki/Pallacanestro%20Cant%C3%B9%20in%20international%20competitions | Pallacanestro Cantù history and statistics in FIBA Europe and Euroleague Basketball competitions.
European competitions
Worldwide competitions
External links
FIBA Europe
Euroleague
ULEB
Eurocup
Sport in Lombardy
Cantu |
https://en.wikipedia.org/wiki/Fundamental%20theorem%20of%20topos%20theory | In mathematics, The fundamental theorem of topos theory states that the slice of a topos over any one of its objects is itself a topos. Moreover, if there is a morphism in then there is a functor which preserves exponentials and the subobject classifier.
The pullback functor
For any morphism f in there is an associated "pullback functor" which is key in the proof of the theorem. For any other morphism g in which shares the same codomain as f, their product is the diagonal of their pullback square, and the morphism which goes from the domain of to the domain of f is opposite to g in the pullback square, so it is the pullback of g along f, which can be denoted as .
Note that a topos is isomorphic to the slice over its own terminal object, i.e. , so for any object A in there is a morphism and thereby a pullback functor , which is why any slice is also a topos.
For a given slice let denote an object of it, where X is an object of the base category. Then is a functor which maps: . Now apply to . This yields
so this is how the pullback functor maps objects of to . Furthermore, note that any element C of the base topos is isomorphic to , therefore if then and so that is indeed a functor from the base topos to its slice .
Logical interpretation
Consider a pair of ground formulas and whose extensions and (where the underscore here denotes the null context) are objects of the base topos. Then implies if and only if there is a monic from to . If these are the case then, by theorem, the formula is true in the slice , because the terminal object of the slice factors through its extension . In logical terms, this could be expressed as
so that slicing by the extension of would correspond to assuming as a hypothesis. Then the theorem would say that making a logical assumption does not change the rules of topos logic.
See also
Timeline of category theory and related mathematics
Deduction Theorem
References
Topos theory |
https://en.wikipedia.org/wiki/Guillermo%20Coria%20career%20statistics | A career statistics article for tennis player Guillermo Coria.
2003
Year-end ranking No. 5
Injuries: Late January, retired from Australian Open. Mid May, withdrew from Hypo Group Tennis International due to a groin muscle injury.Early August, retired from Canada Masters. Late October, retired from Paris Masters.
Singles matches
2004
Year-end ranking No. 7
Singles matches
2005
Year-end ranking No. 8
Singles matches
Coria, Guillermo |
https://en.wikipedia.org/wiki/Gert-Jan%20Kok | Gert-Jan Kok is a Grand Prix motorcycle racer from Netherlands.
Career statistics
By season
Races by year
(key)
References
External links
1986 births
Living people
Dutch motorcycle racers
125cc World Championship riders
21st-century Dutch people |
https://en.wikipedia.org/wiki/Luca%20Verdini | Luca Verdini (born 18 February 1985 in Pesaro) is an Italian motorcycle racer.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
(key)
References
External links
1985 births
Living people
Italian motorcycle racers
125cc World Championship riders
Sportspeople from Pesaro
FIM Superstock 1000 Cup riders |
https://en.wikipedia.org/wiki/King%27s%20College%20London%20Mathematics%20School | King's College London Mathematics School, also known as King's Maths School or KCLMS, is a maths school located in the Lambeth area of London, England. King's College London Mathematics School is run in partnership with King's College London to provide high quality mathematics education in London. The school was inspired by the Kolmogorov Physics and Mathematics School in Moscow, established in 1965 by mathematician Andrey Kolmogorov. The school aims to widen participation in the mathematical sciences by supporting young people from backgrounds currently under-represented in these fields.
The school opened in 2014 and specialises in mathematics. It has an approximate 14% acceptance rate. In 2018, the school received nearly 500 applications for 70 places. All prospective students are invited to take a written mathematics aptitude test. Those with a high score on the test are invited to an interview that consists of a mathematics interview and a personal interview.
Prospective students are required to obtain GCSE qualifications at grade 8 or 9 (or previous grade A*) in Mathematics and either grade 7 or above (or previous grade A or A*) in Physics or grade 7-7 or above in Combined Science. In addition, prospective students are required to obtain a grade 5 or above (or previous grade C) in a total of at least seven GCSEs, including in English Language.
The course structure of King's College London Mathematics School requires all students to study A-levels in mathematics, further mathematics and physics. In their first year, students also choose between an AS-level in either computer science or economics, and complete a substantive, collaborative research project with briefs set by academics and industry professionals. In their second year, students can engage with a unique programme of extension courses ("Curriculum X") and also have the option to complete an Extended Project Qualification (EPQ).
In 2019, 60% of all A-level entries were graded A* and 91% of all A-level entries were A*/A. Furthermore, over 25% of leavers received Oxbridge places. These results placed King's College London Mathematics School as the top performing school in the country for A Level attainment.
The Sunday Times 2018 School Guide, selected King's College London Mathematics School as the State Sixth Form College of the Year. The Sunday Times also selected it as the Best State Sixth Form college of the Decade in 2021
References
External links
King's College London Mathematics School official website
Free schools in London
Education in the London Borough of Lambeth
King's College London
Educational institutions established in 2014
Mathematics education in the United Kingdom
2014 establishments in England |
https://en.wikipedia.org/wiki/Toshihisa%20Kuzuhara | is a Japanese motorcycle racer.
Career statistics
Grand Prix motorcycle racing career
By season
Races by year
(key) (Races in bold indicate pole position, races in italics indicate fastest lap)
References
External links
1980 births
Living people
Japanese motorcycle racers
125cc World Championship riders |
https://en.wikipedia.org/wiki/Lara%20Pra%C5%A1nikar | Lara Prašnikar (born 8 August 1998) is a Slovenian footballer who plays as a striker for the German Frauen Bundesliga club Eintracht Frankfurt and the Slovenia national team.
Career statistics
International
Scores and results list Slovenia's goal tally first, score column indicates score after each Prašnikar goal.
Notes
References
External links
Lara Prašnikar at NZS
1998 births
Living people
Footballers from Celje
Slovenian women's footballers
Women's association football forwards
Slovenia women's international footballers
Slovenian expatriate women's footballers
Slovenian expatriate sportspeople in Germany
Expatriate women's footballers in Germany
Frauen-Bundesliga players
1. FFC Turbine Potsdam players
Eintracht Frankfurt (women) players |
https://en.wikipedia.org/wiki/Arjun%20Kumar%20Gupta | Arjun Kumar Gupta (1938 – 25 December 2022) was a Distinguished Research Professor in the Department of Mathematics & Statistics at Bowling Green State University in Ohio.
Gupta was born in Uttar Pradesh, India in 1938. Gupta received his bachelor's and master's degrees from Poona University in India and his PhD from Purdue University.
He was a member of the American Statistical Association, the Institute of Statisticians, and the Royal Statistical Society of England. In 1989 he was elected as a Fellow of the American Statistical Association. He received the Olscamp Research Award in 1990. He has written more than 400 articles and he has edited, co-edited or co-authored six books on statistics.
In 2022, Gupta's memoir A Multidimensional Life: The Legacy of Arjun K. Gupta was published.
Gupta died on 25 December 2022.
Books
References
1938 births
2022 deaths
Bowling Green State University faculty
Purdue University alumni
Fellows of the American Statistical Association
University of Michigan faculty |
https://en.wikipedia.org/wiki/Jamal%20Hussein%20Ali | Jamal Hussein Ali () is an Iraqi novelist and journalist born in Al Basrah, Iraq. He earned his doctorate (PhD) in Physics and Mathematics from Moscow State University (1993). He has published four novels, the most recent of which was Baghdad's Dead, as well as three collections of short stories and books about press release, literature and politics, both original works and translations. He has worked for several international and Arab newspapers. He has also won awards for stories, theater and journalism.
Literary activity
Early works
Jamal Hussein Ali's first novel, A Summer at the South, was published in 1983, followed by the publication of two novels in the 1980s, Lighthouses and The Twin, in addition to three collections of short stories: A Fading Shadow, The Living Shrine and The Coronets.
Baghdad's Dead
In 2008, the writer published Baghdad's Dead, a novel about a man who returns to Iraq during war. This man (anonymous throughout the novel) acquired a deep knowledge of the ontology of the dead through bonding with them in the morgue while studying medicine in Moscow, in addition to physics and mathematics. This was reflected in the recurrence of quotes, which are used as the chapter openers of the novel, thus forming a poetic rhythm to the language of the dead engraved on their chests as an Ouija legendary board. Jamal Hussein Ali has built a strategy that roams around hundreds of notations, using extracts from ancient books and those of more recent times to support his theory about the "Human truth" in its finest forms, deepest connotations and utmost prospects. This arduous work requires consideration of the poetic quality of death, research about "the Creation – Genetic Modification" of the characteristics of individuals and ethnic groups and the prediction of their biological and social future, as well as going through Gilgamesh, Al-Maʿarri, Dante and dozens of contemporary writers.
Baghdad's Dead revealed an epic vision of the reality of the post-US invasion of Iraq through the forensic medicine morgue in the capital, where the protagonist in the novel seeks the creation of the new "Adam" out of modified genes extracted from the bodies of victims of the occupation, militias and gangs. Baghdad's Dead, published in 2008, was considered the first novel in Iraq to adapt the idea of "creating" a human model out of the corpses of the victims. The novelist invested all the data of modern science such as medicine, anatomy and genome to embrace the tragic occupation in an Iraqi novel that was considered one of the most important novels covering Iraq's history at this stage.
Jamal Hussein Ali used in this novel the literary style embracing fictional metaphors and artistic expressions revealing a passion for literature. On the other hand, and because of his academic background in science, Jamal Hussein Ali adopted the scientific style when necessary, combining science and literature through a narrative plot that mixed reality and fiction |
https://en.wikipedia.org/wiki/List%20of%20Major%20League%20Baseball%20career%20plate%20appearance%20leaders | In baseball statistics, a player is credited with a plate appearance (denoted by PA) each time he completes a turn batting. A player completes a turn batting when: he strikes out or is declared out before reaching first base; or he reaches first base safely or is awarded first base (by a base on balls, hit by pitch, or catcher's interference); or he hits a fair ball which causes a preceding runner to be put out for the third out before he himself is put out or reaches first base safely (see also left on base, fielder's choice, force play). In other words, a plate appearance ends when the batter is put out, the inning ends, or he becomes a runner. A related statistic, at bats, counts a subset of plate appearances that end under certain circumstances.
Pete Rose is the all-time leader with 15,890 career plate appearances. Rose is the only player in MLB history to surpass 14,000 and 15,000 career plate appearances. Carl Yastrzemski (13,992), Hank Aaron (13,941), Rickey Henderson (13,346), Ty Cobb (13,103), and Albert Pujols (13,041) are the only other players to surpass 13,000 career plate appearances.
Key
List
Stats updated as of October 1, 2023.
Notes
References
External links
Major League Baseball statistics
Plate appearance leaders |
https://en.wikipedia.org/wiki/John%20Strain%20%28mathematician%29 | John Andrew Strain is a Professor of Mathematics at the University of California, Berkeley. His areas of interest are Applied Mathematics, Algorithms, Numerical Analysis, and Materials Science. John Strain received his PhD in Mathematics from the University of California, Berkeley in 1988 working with his advisor Alexandre Joel Chorin. His dissertation paper was on the numerical study of dendritic solidification. Notable publications include Piecewise-polynomial discretization and Krylov-accelerated multigrid for elliptic interface problems, Locally corrected semi-Lagrangian methods for Stokes flow with moving elastic interfaces, Locally-corrected spectral methods and overdetermined elliptic systems, Fractional step methods for index-1 differential-algebraic equations, and Growth of the zeta function for a quadratic map and the dimension of the Julia set.
References
Year of birth missing (living people)
Living people
20th-century American mathematicians
21st-century American mathematicians
University of California, Berkeley faculty
University of California, Berkeley alumni |
https://en.wikipedia.org/wiki/Plakje | Plakje () is a small village in the municipality of Ohrid, North Macedonia. It used to be part of the former municipality of Kosel.
Demographics
According to the statistics of Bulgarian ethnographer Vasil Kanchov from 1900 the settlement is recorded as Plake with its 160 inhabitants, all Bulgarian Exarchists.
According to the 2002 census, the village had a total of 4 inhabitants. Ethnic groups in the village include:
Macedonians 4
References
Villages in Ohrid Municipality |
https://en.wikipedia.org/wiki/Chu%20Tzer-ming | Chu Tzer-ming () is a Taiwanese educator and politician. He has been the Minister of the Directorate-General of Budget, Accounting and Statistics in the Executive Yuan since 20 May 2016.
Education
Chu obtained his bachelor's degree in finance and master's degree in public finance from National Chengchi University (NCCU) in 1973 and 1977, respectively.
Career
Chu was a lecturer at NCCU from 1977 to 1984, associate professor at NCCU from 1984 to 1995, associate professor at National Taipei University of Business from 2001 to 2005 and associate professor at Jinwen University of Science and Technology from 1999 to 2015. He became Minister of the ROC Directorate-General of Budget, Accounting and Statistics on 20 May 2016.
References
Political office-holders in the Republic of China on Taiwan
Living people
Year of birth missing (living people) |
https://en.wikipedia.org/wiki/Stefan%20Grigorievich%20Samko | Stefan Grigorievich Samko (; born March 28, 1941) is a mathematician active in the field of functional analysis, function spaces and operator theory. He is a retired professor of Mathematics at Algarve University and Rostov State University.
Career
Research activity
S. Samko has more than 260 research papers spread throughout the areas of,
Harmonic Analysis and Operator Theory in Variable Exponent Function Spaces;
Function spaces;
Potential type operators;
Hypersingualr integrals and the method of approximative inverse operators;
Fractional calculus of one and many variables;
Integral equations of the first kind (including multi-dimensional ones).
Teaching activity
He was the adviser for 21 PhD students, from Russia and Portugal. The complete list is:
Boris Rubin
Vladimir Nogin
Alexandre Skorikov
Salaudin Umarkhadzhiev
Alexandre Guinzbourg
Hamzat Murdaev†
Boris Vakulov
Anatolii Chuvenkov
Pavel Pavlov
Galina Emgusheva
Galina Kostetskaya
Taus Khamidova
Mahmadiar Yakhshiboev
Esmira Alisultanova
Anna Abramyan
Zarema Mussalaeva
Alexey Karapetyants
Elena Urnysheva
Alexandre Almeida
Rogério Cardoso
Humberto Rafeiro
Bibliography
References
External links
Stefan Samko's home page
1941 births
Living people
Scientists from Rostov-on-Don
Soviet mathematicians
20th-century Portuguese mathematicians
20th-century Russian mathematicians
21st-century Russian mathematicians
Steklov Institute of Mathematics alumni
Mathematical analysts
Academic staff of the University of Algarve
Academic staff of Southern Federal University |
https://en.wikipedia.org/wiki/Sidi%20Fofana | Sidi Fofana (born 11 January 1992) is a French professional footballer who plays as a center-back for Championnat National 2 club Lusitanos Saint-Maur.
Career statistics
References
1992 births
Living people
Men's association football defenders
French men's footballers
Ligue 2 players
Championnat National players
Championnat National 2 players
Championnat National 3 players
US Lusitanos Saint-Maur players
US Créteil-Lusitanos players
Paris 13 Atletico players |
https://en.wikipedia.org/wiki/Yannick%20Deschamps | Yannick Deschamps is a Grand Prix motorcycle racer from France.
Career statistics
By season
Races by year
(key)
References
French motorcycle racers
1983 births
Living people
125cc World Championship riders |
https://en.wikipedia.org/wiki/Cl%C3%A9ment%20Dunikowski | Clément Dunikowski is a Grand Prix motorcycle racer from France.
Career statistics
By season
Races by year
(key)
References
French motorcycle racers
1991 births
Living people
125cc World Championship riders
Sportspeople from Somme (department) |
https://en.wikipedia.org/wiki/Ruslan%20Duzmambetov | Ruslan Belemkhanovich Duzmambetov (; born 21 April 1968) is a Kazakhstani football referee and a former player.
Career statistics
Club
International
International goals
References
1968 births
Living people
Kazakhstani men's footballers
Kazakhstani football referees
Men's association football forwards
Kazakhstan men's international footballers
Soviet men's footballers |
https://en.wikipedia.org/wiki/Terry%20Murrell | Dr. Terry A. Murrell is the third president of Western Iowa Tech Community College in Sioux City, Iowa.
Education
Murrell earned his bachelor's degree in mathematics and computer science from the University of Nebraska at Kearney in 1990, an MPA in Labor Management from the University of Louisville in 1995, and a Ph.D. in Education from the University of Nebraska-Lincoln in 2005.
Career
During Murrell's tenure, the college has undergone renovations of existing facilities, seen upgrades to the student learning environments in the Kiser Building and community meeting area in the Corporate College. In 2014, another housing complex, Prairie Place, was added to the Sioux City Campus and a permanent WITCC Le Mars Center was opened.
Personal life
Murrell lives in Sioux City with his wife Amy.
References
University of Nebraska at Kearney alumni
University of Louisville alumni
University of Nebraska–Lincoln alumni
Heads of universities and colleges in the United States
1968 births
Living people
People from Geneva, Nebraska |
https://en.wikipedia.org/wiki/Matthieu%20Lussiana | Matthieu Lussiana (born 8 September 1988) is a French motorcycle racer. He currently competes in wildcards in the Superbike World Championship aboard a BMW S1000RR.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
(key)
Superbike World Championship
Races by year
References
External links
1988 births
Living people
French motorcycle racers
125cc World Championship riders
Superbike World Championship riders
FIM Superstock 1000 Cup riders |
https://en.wikipedia.org/wiki/Hiroaki%20Kuzuhara | is a Japanese motorcycle racer.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
(key)
External links
Profile on MotoGP.com
Japanese motorcycle racers
1983 births
Living people
125cc World Championship riders |
https://en.wikipedia.org/wiki/Michal%20%C5%A0embera | Michal Šembera is a Grand Prix motorcycle racer from Czech Republic. He currently competes in the Alpe Adria Road Race Superbike Championship aboard a BMW S1000RR.
Career statistics
By season
Races by year
(key)
References
http://www.motogp.com/en/riders/Michal+Sembera
Czech motorcycle racers
1990 births
Living people
125cc World Championship riders
Sportspeople from Brno |
https://en.wikipedia.org/wiki/Thomas%20Mayer%20%28motorcyclist%29 | Thomas Mayer is a Grand Prix motorcycle racer from Germany.
Career statistics
By season
Races by year
(key)
References
External links
http://www.motogp.com/en/riders/Thomas+Mayer
1982 births
Living people
German motorcycle racers
125cc World Championship riders
People from Passau
Sportspeople from Lower Bavaria |
https://en.wikipedia.org/wiki/Daniel%20Cooper%20%28motorcyclist%29 | Daniel Cooper is a Grand Prix motorcycle racer from United Kingdom. He currently races in the National Superstock 1000 Championship, aboard a BMW S1000RR.
Career statistics
By season
Races by year
(key)
References
http://www.motogp.com/en/riders/Daniel+Cooper
British motorcycle racers
1987 births
Living people
125cc World Championship riders |
https://en.wikipedia.org/wiki/Anthony%20Rogers%20%28motorcyclist%29 | Anthony Derek Rogers (born 3 April 1990 in Norwich, Norfolk) is a Grand Prix motorcycle racer from United Kingdom.
Career statistics
By season
Races by year
(key)
References
http://www.motogp.com/en/riders/Anthony+Rogers
English motorcycle racers
1990 births
Living people
125cc World Championship riders
Sportspeople from Norwich |
https://en.wikipedia.org/wiki/Kyle%20Kentish | Kyle Kentish is a Grand Prix motorcycle racer from the United Kingdom.
Career statistics
By season
Races by year
(key)
References
http://www.motogp.com/en/riders/Kyle+Kentish
Scottish motorcycle racers
1985 births
Living people
125cc World Championship riders |
https://en.wikipedia.org/wiki/Kazuya%20Otani | Kazuya Otani is a Grand Prix motorcycle racer from Japan.
Career statistics
By season
Races by year
(key)
References
http://www.motogp.com/en/riders/Kazuya+Otani
Japanese motorcycle racers
1989 births
Living people
125cc World Championship riders |
https://en.wikipedia.org/wiki/Bram%20Appelo | Bram Appelo (born 10 July 1984) is a Dutch motorcycle racer.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
(key)
References
External links
Profile on MotoGP.com
Profile on WorldSBK.com
1984 births
Living people
Dutch motorcycle racers
250cc World Championship riders
Sportspeople from Deventer
FIM Superstock 1000 Cup riders
21st-century Dutch people |
https://en.wikipedia.org/wiki/Nicklas%20Cajback | Nicklas Cajback (born 9 June 1986) is a Swedish motorcycle racer.
Career statistics
Grand Prix motorcycle racing
By season
Races by year
(key)
Supersport World Championship
Races by year
(key)
== References ==
External links
Profile on MotoGP.com
Profile on WorldSBK.com
1986 births
Living people
Swedish motorcycle racers
250cc World Championship riders
Supersport World Championship riders
Sportspeople from Stockholm |
https://en.wikipedia.org/wiki/List%20of%20New%20York%20Red%20Bulls%20records%20and%20statistics | Records and statistics in relation to the American soccer club MetroStars/New York Red Bulls. They were founded in 1995 as the New York/New Jersey MetroStars and played their first competitive match in the inaugural 1996 Major League Soccer season. In 2006 the club was renamed to the New York Red Bulls.
Honors
As of 2022 season
Conference
Eastern Conference
Runners Up (Playoffs) (3): 2014, 2015, 2018
Winners (Regular Season) (6): 2000, 2010, 2013, 2015, 2016, 2018
Runners Up (Regular Season): 2001
Western Conference
Winners (Playoff): 2008
Friendly
MLS Preseason Tournament: 2001
Atlantic Cup (9): 2003, 2010, 2011, 2013, 2015, 2017, 2018, 2019, 2020
La Manga Cup: 2004
Walt Disney World Pro Soccer Classic: 2010
Emirates Cup: 2011
Records
As of March 13, 2022
Team
Victory: 7–0 v New York City FC, May 21, 2016
Draw with most goals: 5–5 v San Jose Earthquakes, May 8, 2004
Defeat: 0–6 v Kansas City Wizards, June 20, 1999
Most points in a season (3 pts per win): 71 (2018, 34 games)
Most victories in a season: 22 (2018)
Fewest victories in a season: 5 (2009)
Most goals scored in MLS season (team): 64 (2000)
Individual
Fastest goal scored: 7 seconds Mike Grella (2015)
Most goals scored in MLS game (player): 5 Clint Mathis v Dallas Burn, August 25, 2000
Most goals scored in MLS season (player): 27 Bradley Wright-Phillips (2014)
Most hat-tricks (Total): 5 Bradley Wright-Phillips
Most appearances (Total): 281 Luis Robles
Most appearances (MLS): 239 Luis Robles
Most appearances (Playoffs): 23 Luis Robles
Most appearances (Open Cup): 14 John Wolyniec
Most appearances (Continental): 15 Sean Davis, Luis Robles, Aaron Long
Most goals scored (Total): 126 Bradley Wright-Phillips
Most goals scored (MLS): 108 Bradley Wright-Phillips
Most goals scored (Playoffs): 9 Bradley Wright-Phillips
Most goals scored (Open Cup): 7 John Wolyniec
Most goals scored (Continental): 4 Bradley Wright-Phillips, Daniel Royer
Managerial
Most games managed (Total): 151 Jesse Marsch
Most victories (Total): 76 Jesse Marsch
Most losses (Total): 46 Octavio Zambrano
Most draws (Total): 32 Hans Backe
Player records
All-time top 10 appearances
As of August 10, 2023 (All competitive matches):
Bold signifies current Red Bulls player
All-time top 10 goalscorers
As of August 10, 2023 (All competitive matches):
Bold signifies current Red Bulls player
All-time top 10 cleansheets
As of August 10, 2023 (All competitive matches):
Bold signifies current Red Bulls player
Coaching Records
Trophies
List of seasons
International results
By competition
By club
(Includes: Copa Merconorte and CONCACAF Champions League)
By country
(Includes: Copa Merconorte and CONCACAF Champions League)
By season
Transfers
As per MLS rules and regulations; some transfer fees have been undisclosed and are not included in the tables below.
Highest transfer fees paid
Highest transfer fees received
Individual Honors
Landon Donovan MVP Award
MLS Golden Boo |
https://en.wikipedia.org/wiki/Greg%20Ridgeway | Gregory Kirk Ridgeway (born 1973) is professor of criminology and statistics at the University of Pennsylvania, where he is also chair of the Department of Criminology.
Education
Ridgeway received his B.S. from California Polytechnic State University in 1995 and his M.S. and Ph.D. from the University of Washington in 1997 and 1999, respectively. All three of his degrees are in statistics. His Ph.D. thesis was entitled "Generalization of boosting algorithms and applications of Bayesian inference for massive datasets".
Career
Early in his career, Ridgeway worked at the RAND Corporation, where he served as the director of the Safety and Justice Program from 2009 to 2012, and of the Center for Quality Policing from 2008 to 2012. He later served as the acting director of the National Institute of Justice for 19 months before joining the University of Pennsylvania in August 2014. In January 2021, he was named the co-editor-in-chief of the Journal of Quantitative Criminology.
Research
Ridgeway's research focuses on using statistical techniques to examine aspects of the United States' criminal justice system. These aspects include, but are not limited to, stop-and-frisk in New York City, which, in a 2007 study, he found was racially biased, with blacks and Hispanics being more likely to be frisked, searched, or arrested once stopped (though they were no more likely to be stopped than whites).
Honors and awards
Ridgeway is a fellow of the American Statistical Association.
References
External links
Faculty page
Living people
American criminologists
1973 births
University of Pennsylvania faculty
American statisticians
Fellows of the American Statistical Association
California Polytechnic State University alumni
University of Washington alumni
RAND Corporation people |
https://en.wikipedia.org/wiki/Crux%20Mathematicorum | Crux Mathematicorum is a scientific journal of mathematics published by the Canadian Mathematical Society. It contains mathematical problems for secondary school and undergraduate students. , its editor-in-chief is Kseniya Garaschuk.
The journal was established in 1975, under the name Eureka, by the Carleton-Ottawa Mathematics Association, with Léo Sauvé as its first editor-in-chief. It took the name Crux Mathematicorum with its fourth volume, in 1978, to avoid confusion with another journal Eureka published by the Cambridge University Mathematical Society. The Canadian Mathematical Society took over the journal in 1985, and soon afterwards G.W. (Bill) Sands became its new editor. Bruce L. R. Shawyer took over as editor in 1996. In 1997 it merged with another journal founded in 1988, Mathematical Mayhem, to become Crux Mathematicorum with Mathematical Mayhem. Jim Totten became editor in 2003, and Václav (Vazz) Linek replaced him in 2008.
Ross Honsberger writes that "for interesting elementary problems, this publication is in a class by itself". The journal is also known for reviving interest in Japanese temple geometry problems by publishing a series of them beginning in 1984. The website IMOmath.com has made available problems involving inequalities from its first four volumes and calls the publication "the best problem solving journal all over the world". Since January 2019, Crux Mathematicorum became a free online publication thanks to the support of the Intact Foundation.
References
Academic journals published by learned and professional societies of Canada
Mathematics education journals
Academic journals established in 1975
English-language journals |
https://en.wikipedia.org/wiki/Brigitte%20Plateau | Brigitte Plateau is a French computer scientist. A former student of the École Normale Supérieure at Fontenay-aux-Roses majoring in Mathematics (option in Probability Theory), she is a Doctor of Information Studies. A University Professor at Grenoble Institute of Technology (Grenoble INP) since 1988, since February 2012 she has been the General Administrator of the Grenoble INP cluster.
Plateau is president of the AFDESRI (Association of Women Leaders of Higher Education, Research and Innovation) since September 2014 and Allistene (Alliance of the Digital Sciences and Technologies) since November 2014.
Childhood
Born to a father who was an engineer and a mother who was a teacher, as a child of 7 or 8, Plateau enjoyed solving maths problems.
Career
At the age of 18, Plateau had wanted to become a medical doctor, but her father advised against it. After studying at the École Normale Supérieure and , Brigitte Plateau submitted in 1980 a postgraduate thesis (DEA) in computer science at the University of Paris XI and in 1984, a state computer thesis. She obtained a tenured research position(fr) at the Centre national de la recherche scientifique (CNRS), then taught as a visiting scholar at the University of Maryland in the United States. In 1988, she was appointed full professor by Grenoble Polytechnic Institute, assigned to Ensimag and to the laboratory of Computer Engineering. In 1999, she created the IT and distribution Laboratory (Grenoble INP-UJF-CNRS) that she headed until 2004. In January 2007 Plateau created the Grenoble Informatics Laboratory associated with the French Institute for Research in Computer Science and Automation (INRIA). As of 2014, Plateau was in charge of 500 computer scientists at the laboratory. Her research work is on the performance of computer systems, in particular distributed and parallel systems. She is studying queueing models, distributed algorithms and massively parallel computers (by simulation and observation). She is an expert in high speed calculations using massive parallelism.
In 2010, Brigitte Plateau became director of the Ensimag school in Grenoble-INP. In February 2012, she was elected director of the group Grenoble-INP, the first woman to have this position. She was re-elected for a term of 4 years in February 2016.
In November 2014, she became president of the AFDESRI whose goal is to fight against the glass ceiling that affects women in the academic field. She also directs the Allistene, making her the first woman president of a research alliance.
She has participated in the national scientific bodies CNRS, ANR, INRIA, and the Ministry of Higher Education and Research (MESR).
Awards and distinctions
2011: Knight of the Legion of Honour
2012: Grand Prize of the EADS Corporate Foundation (IT) of the French Academy of Sciences
2015: Officer of the National Order of Merit
Selected publications
Plateau, Brigitte. "On the stochastic structure of parallelism and synchronization models for distribu |
https://en.wikipedia.org/wiki/Continuous%20module | In mathematics, a continuous module is a module M such that every submodule of M is essential in a direct summand and every submodule of M isomorphic to a direct summand is itself a direct summand. The endomorphism ring of a continuous module is a clean ring.
References
Module theory |
https://en.wikipedia.org/wiki/Centre%20International%20de%20Math%C3%A9matiques%20Pures%20et%20Appliqu%C3%A9es | The Centre International de Mathématiques Pures et Appliquées (CIMPA; English: International Centre for Pure and Applied Mathematics) is a category 2 UNESCO centre based in Nice with the mission to promote research in mathematics in developing countries. CIMPA is an association under the 1901 French law on associations and is funded by government agencies in France, Norway, Spain, and Switzerland.
History
Following a recommendation made during the 18th session of the General Conference of UNESCO in Paris in 1974, the creation of CIMPA was decided during the 19th session of the General Conference of UNESCO in Nairobi in 1976. On the initiative of the French Government and a group of founding members (J.P. Aubin, J. Céa, P. Deheuvels, F. Dress, Claude Godbillon, H. Hogbe Nlend, J.L. Lions, J.L. Koszul, E.J. Picard, A. Revuz, P. Sabourin), the International Center for Pure and Applied Mathematics was formally created as an association of the law of 1901, on 30 October 1978. According to its statutes, its mission is the training of mathematicians coming in priority from developing countries, by means of study visits during the university academic year and of summer schools, and with the help of the development of means of documentations. The seat of CIMPA is fixed at Nice, and its host university is the University of Nice Sophia Antipolis.
Activities
The organization of about 20 research schools per year in developing countries constitutes the main activity of CIMPA. This is supplemented by other kinds of actions such as the research training schools in partnership with learned societies like the African Mathematical Union (AMU), the Mathematical Union of Latin America and the Caribbeans (UMALCA in Spanish), the South East Asian Mathematical Society (SEAMS) or the Southern Africa Mathematical Sciences Association (SAMSA). CIMPA works equally in partnership with other organizations with similar aims such as the International Mathematical Union (IMU) or the Abdus Salam International Centre for Theoretical Physics (ICTP).
Funding
The principal financial support of CIMPA comes from the French Ministry of Higher Education, Research and Innovation (MESR), the University of Nice Sophia Antipolis, the laboratory of excellence CARMIN (Centre for international mathematical encounters), and the National Institute of Mathematical Sciences and their interactions (INSMI) of the Centre National de la Recherche Scientifique (CNRS). Since 2009, CIMPA has also been supported by the Ministry of Economics and Business (MINECO, Spain). Since 2011, CIMPA has additionally been supported by the Ministry of Education and Research (Norway) and by a grant from Switzerland via the University of Neuchâtel.
Presidents
1978: Jean Céa
1979–1988: Henri Hogbe Nlend
1989–1992: François Dress
1993–1996: Attia Ashour
1997–2000: Roger Ballay
2001–2004: Mohamed Jaoua
2005–2008: Mario Wschebor
2009-2016: Tsou Sheung Tsun
Since January 2017: Barry Green
Executive directors |
https://en.wikipedia.org/wiki/Economic%20and%20Statistical%20Organisation | Economic and Statistical Organisation Punjab (ESO), is the nodal statistical agency of State Government of Punjab. ESO provides vital statistics on a wide range of economic, environmental and social issues, to assist and encourage informed decision making and research to various stakeholders including Universities, research institutions, individual scholars, planners, government and non -government institutions. The data and all publications are provided free of cost.
History
ESO was created in 1949 with the advent of planning era in India after Independence. Main objective of creation of this organisation was to fulfill the data needs of the state especially with regards to planning. Prior to creation of this organisation there was a Board of Economic Inquiry created during British period in Punjab.
Administrative structure
Chandigarh Head office level
ESO has its offices at its Chandigarh based headquarters and all the districts of the State. Economic Advisor to Government of Punjab is the head of the department. There are two directors and three joint directors at the head office. In addition to it there are other supporting staff who collect, compile and present the required statistical data in a professional manner.
District level
There is a District statistical office in each of the 22 districts of the State of Punjab which is headed by the Deputy Economic and Stastitical Advisor, a grade one officer. At district level it perform following major functions :
Statistical work
Planning work
Other development schemes/ programmes including MPLAD and 20 Point etc.
Block level
Punjab is among very few States of Indian Union which has its statistical machinery at the sub district i.e. block level. One statistical personnel known as "investigator" is posted at the block level in the State who collect the basic information on over 250 items from each of the village. This data is used for grass root level planning and other decision in the State. As on 31 March 2016 there are 146 blocks and over 12154 villages.
Major publications
Statistical Abstract of Punjab-Periodicity, Annual
Economic Survey of Punjab- Periodicity Annual
Village Directory- Periodicity, Annual
State Income -Periodicity, Annual
District level Planning -Periodicity regular
MPLAD Scheme-Periodicity regular
20 Point Progrrame-Periodicity regula
References
Statistical organisations in India
State agencies of Punjab, India
Economy of Punjab, India |
https://en.wikipedia.org/wiki/Mathematical%20fiction | Mathematical fiction is a genre of creative fictional work in which mathematics and mathematicians play important roles. The form and the medium of the works are not important. The genre may include poems, short stories, novels or plays; comic books; films, videos, or audios. One of the earliest, and much studied, work of this genre is Flatland: A Romance of Many Dimensions, an 1884 satirical novella by the English schoolmaster Edwin Abbott Abbott. Mathematical fiction may have existed since ancient times, but it was recently rediscovered as a genre of literature; since then there has been a growing body of literature in this genre, and the genre has attracted a growing body of readers. For example, Abbot's Flatland spawned a sequel in the 21st century: a novel titled Flatterland, authored by Ian Stewart and published in 2001.
A database of mathematical fiction
Alex Kasman, a Professor of Mathematics at College of Charleston, who maintains a database of works that could possibly be included in this genre, has a broader definition for the genre: Any work "containing mathematics or mathematicians" has been treated as mathematical fiction. Accordingly, Gulliver's Travels by Jonathan Swift, War and Peace by Lev Tolstoy, Mrs. Warren's Profession by George Bernard Shaw, and several similar literary works appear in Kasman's database because these works contain references to mathematics or mathematicians, even though mathematics and mathematicians are not important in their plots. According to this broader approach, the oldest extant work of mathematical fiction is The Birds, a comedy by the Ancient Greek playwright Aristophanes performed in 414 BCE. Kasman's database has a list of more than one thousand items of diverse categories like literature, comic books and films.
Some works of mathematical fiction
The top ten results turned up by a search of the website of Mathematical Association of America using the keywords "mathematical fiction" contained references to the following works of mathematical fiction.
See also
List of films about mathematicians
References
Further reading
For a study of the mathematical fiction for senior students and undergraduates see:
For a selection of mathematical fiction chosen with the teaching of mathematics in secondary school in mind:
For a discussion of the portrayal of mathematicians in fictional works:
For an analysis of mathematical fiction with geometrical themes see:
For a discussion of mathematics in science fiction:
External links
Alex Kasman's database of mathematical fiction
Popular Math Fiction Books at goodreads
Science fiction genres
Speculative fiction
Mathematics and culture
Recreational mathematics |
https://en.wikipedia.org/wiki/Discrete%20Weibull%20distribution | In probability theory and statistics, the discrete Weibull distribution is the discrete variant of the Weibull distribution. It was first described by Nakagawa and Osaki in 1975.
Alternative parametrizations
In the original paper by Nakagawa and Osaki they used the parametrization making the cumulative distribution function with . Setting makes the relationship with the geometric distribution apparent.
An alternative parametrization — related to the Pareto distribution — has been used to estimate parameters in infectious disease modelling. This parametrization introduces a parameter , meaning that the term can be replaced with . Therefore, the probability mass function can be expressed as
,
and the cumulative mass function can be expressed as
.
Location-scale transformation
The continuous Weibull distribution has a close relationship with the Gumbel distribution which is easy to see when log-transforming the variable. A similar transformation can be made on the discrete Weibull.
Define where (unconventionally) and define parameters and . By replacing in the cumulative mass function:
We see that we get a location-scale parametrization:
which in estimation settings makes a lot of sense. This opens up the possibility of regression with frameworks developed for Weibull regression and extreme-value-theory.
See also
Weibull distribution
Geometric distribution
q-Weibull distribution
References
Discrete distributions
Survival analysis
Extreme value data |
https://en.wikipedia.org/wiki/Sweden%20men%27s%20national%20junior%20handball%20team | The Sweden national junior handball team is the national under–20 handball team of Sweden. Controlled by the Swedish Handball Federation, it represents Sweden in international matches.
Statistics
IHF Junior World Championship record
Champions Runners up Third place Fourth place
EHF European Junior Championship
Champions Runners up Third place Fourth place
References
Men's national junior handball teams
Men
Handball |
https://en.wikipedia.org/wiki/Stemettes | Stemettes is a social enterprise which encourages girls and young women aged 5–25 to pursue careers in Science, Technology, Engineering, and Maths (STEM). Stemettes runs panel events, hackathons, the Student to Stemette mentoring programme supported by Deutsche Bank, Outbox Incubator and an app, OtotheB, an online platform for girls interested in STEM and entrepreneurship.
History
Stemettes was started in 2013 by British mathematics and computing child prodigy Anne-Marie Imafidon. In 2015, Jacquelyn Guderley became co-founder of Stemettes alongside Imafidon.
Stemettes has partnered with organisations including Deutsche Bank, Salesforce, Accenture, Bank of America Merrill Lynch, BP and Microsoft. The organisation is regularly called upon by the UK Government and European Commission to consult on matters related to women in STEM.
Outbox Incubator
For six weeks from July–August 2015, Stemettes ran Outbox Incubator in London. This residential business incubator for girls with STEM start-ups became known as the "X-men house for girls".
In February 2016, the Outbox Incubator spin-off app, OtotheB, was officially launched. The app is an online platform for girls interested in STEM and entrepreneurship. The app has been well received by some STEM figures such as academic and campaigner Sue Black, who described the app as a "…fantastic new resource for young women interested in technology".
Awards and recognition
Stemettes was named as European Digital Impact Organisation of the Year in October 2014 by the Digital Leadership Institute.
References
External links
Outbox Incubator website
Student to Stemette website
OtotheB website
Social enterprises
Women in technology
Computer science education
Diversity in computing
Women and science
Organizations for women in science and technology
Digital divide |
https://en.wikipedia.org/wiki/Contraction%20theorem | In mathematics contraction theorem may refer to:
The Banach contraction mapping theorem in functional analysis
Castelnuovo's contraction theorem in algebraic geometry |
https://en.wikipedia.org/wiki/Gijswijt%27s%20sequence | In mathematics, Gijswijt's sequence (named after Dion Gijswijt by Neil Sloane) is a self-describing sequence where each term counts the maximum number of repeated blocks of numbers in the sequence immediately preceding that term.
The sequence begins with:
1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 1, 1, 2, 2, 2, 3, 2, 1, ...
The sequence is similar in definition to the Kolakoski sequence, but instead of counting the longest run of single terms, the sequence counts the longest run of blocks of terms of any length. Gijswijt's sequence is known for its remarkably slow rate of growth. For example, the first 4 appears at the 220th term, and the first 5 appears near the rd term.
Definition
The process to generate terms in the sequence can be defined by looking at the sequence as a series of letters in the alphabet of natural numbers:
, and
, where is the largest natural number such that the word can be written in the form for some words and , with having non-zero length.
The sequence is base-agnostic. That is, if a run of 10 repeated blocks is found, the next term in the sequence would be a single number 10, not a 1 followed by a 0.
Explanation
The sequence begins with 1 by definition. The 1 in the second term then represents the length 1 of the block of 1s that is found immediately before it in the first term. The 2 in the third term represents the length 2 of the block of 1s that are in the first and second term. At this point, the sequence decreases for the first time: The 1 in the fourth term represents the length 1 of the block of 2s in the 3rd term, as well as the length 1 of the block "1, 2" spanning the second and third term. There is no block of any repeated sequence immediately preceding the fourth term that is longer than length 1. The block of two 1s in the first and second term cannot be considered for the 4th term because they are separated by a different number in the 3rd term.
The 1 in the fifth term represents the length 1 of the "repeating" blocks "1" and "2, 1" and "1, 2, 1" and "1, 1, 2, 1" that immediately precede the fifth term. None of these blocks are repeated more than once, so the fifth term is 1. The 2 in the sixth term represents the length of the repeated block of 1s immediately leading up to the sixth term, namely the ones in the 4th and 5th terms. The 2 in the seventh term represents the 2 repetitions of the block "1, 1, 2" spanning terms 1-3 and then 4-6. This "3-number word" occurs twice immediately leading up to the seventh term - so the value of the seventh term is 2.
The 2 in the eighth term represents the length of the repeated block of 2s immediately leading up to the eighth term, namely the twos in the sixth and seventh terms. The 3 in the 9th term represents the thrice-repeated block of single 2s immediately leading up to the 9th term, namely the twos in the sixth, seventh, and eighth terms.
Properties
Only limited research has focused on Gijswijt's sequence. As such, very little ha |
https://en.wikipedia.org/wiki/James%20H.%20Ware | James Hutchinson Ware (October 27, 1941 – April 26, 2016) was an American biostatistician and the Frederick Mosteller Professor of Biostatistics and Associate Dean for Clinical and Translational Science at the Harvard T.H. Chan School of Public Health. He had been Academic Dean for 19 years (1990-2009) under Deans Harvey Fineberg and Barry Bloom and served as Acting Dean from 1997 to 1998, as Harvey Fineberg assumed the position of Provost of Harvard University. During Ware's 19-year tenure as academic dean (1990-2009), the student the School's student body doubled in size and its research budget grew at an annual rate of eight percent. Ware was a co-investigator in the landmark Six Cities Study of Air Pollution and Health, which has had a profound effect on Clean Air Act regulations in the U.S. and efforts to limit air pollution around the world.
Education
Yale University, New Haven, Connecticut B.A. 1963 Mathematics
Stanford University, Stanford, California M.S. 1965 Statistics
Stanford University, Stanford, California Ph.D. 1969 Statistics
"Dissertation: Regression when Both Variables are Subject to Error and the Ranks of Their Means are Known." Advisor: Bradley Efron
Career
James Ware joined the Harvard School of Public Health faculty in 1979 after receiving his PhD in statistics from Stanford University and spending eight years as mathematical statistician at the National Heart, Lung, and Blood Institute. As Dean, he was involved with a number of controversial issues.
The annual James H. Ware Award is given to a graduating student or student team "from any department and program who have engaged in a practice opportunity or experience during their time at Harvard T.H. Chan School of Public Health." There is also a James H. Ware Scholarship Fund.
He died of esophageal cancer on April 26, 2016. Flags were flown at half mast at the Harvard Medical School and Harvard T.H. Chan School of Public Health.
Honors
Fellow, American Statistical Association (1987)
Member, International Statistical Institute
Past President, E.N.A.R. (Eastern North America Region), International Biometric Society
Publications
Madder RD, Husaini M, Davis AT, VanOosterhout S, Khan M, Wohns D, McNamara RF, Wolschleger K, Gribar J, Collins JS, Jacoby M, Decker JM, Hendricks M, Sum ST, Madden S, Ware JH, Muller JE. Large lipid-rich coronary plaques detected by near-infrared spectroscopy at non-stented sites in the target artery identify patients likely to experience future major adverse cardiovascular events. Eur Heart J Cardiovasc Imaging. 2016 Apr; 17(4):393-9. .
Speizer FE, Ware JH. Exploring Different Phenotypes of COPD. N Engl J Med. 2015 Jul 9; 373(2):185-6. .
Dockery DW, Ware JH. Cleaner air, bigger lungs. N Engl J Med. 2015 Mar 5; 372(10):970-2. .
Gleason K, Shin D, Rueschman M, Weinstock T, Wang R, Ware JH, Mittleman MA, Redline S. Challenges in recruitment to a randomized controlled study of cardiovascular disease reduction in sleep apnea: an an |
https://en.wikipedia.org/wiki/Milan%20Milanovi%C4%87%20%28footballer%2C%20born%201995%29 | Milan Milanović (; born 21 January 1995) is a Serbian football defender who plays for FK Sloboda Užice.
Club career
Career statistics
External links
1995 births
Living people
People from Bajina Bašta
Footballers from Zlatibor District
Men's association football defenders
Serbian men's footballers
Red Star Belgrade footballers
FK Sloboda Užice players
FK Javor Ivanjica players
FK Zlatibor Čajetina players
FK Novi Pazar players
FK Spartak Subotica players
Serbian First League players
Serbian SuperLiga players |
https://en.wikipedia.org/wiki/Anomaly%20%28natural%20sciences%29 | In the natural sciences, especially in atmospheric and Earth sciences involving applied statistics, an anomaly is a persisting deviation in a physical quantity from its expected value, e.g., the systematic difference between a measurement and a trend or a model prediction.
Similarly, a standardized anomaly equals an anomaly divided by a standard deviation.
A group of anomalies can be analyzed spatially, as a map, or temporally, as a time series.
It should not be confused for an isolated outlier.
There are examples in atmospheric sciences and in geophysics.
Calculation
The location and scale measures used in forming an anomaly time-series may either be constant or may themselves be a time series or a map. For example, if the original time series consisted of daily mean temperatures, the effect of seasonal cycles might be removed using a deseasonalization filter.
Robust statistics, resistant to the effects of outliers, are sometimes used as the basis of the transformation.
Examples
Atmospheric sciences
In the atmospheric sciences, the climatological annual cycle is often used as the expected value. Famous atmospheric anomalies are for instance the Southern Oscillation index (SOI) and the North Atlantic oscillation index. SOI is the atmospheric component of El Niño, while NAO plays an important role for European weather by modification of the exit of the Atlantic storm track.
A climate normal can also be used to derive a climate anomaly.
Geophysics
Gravity anomaly, difference between the observed gravity and a value predicted from a model
Bouguer anomaly, anomaly in gravimetry
Free-air anomaly, gravity anomaly that has been computed for latitude and corrected for elevation of the station
Iridium anomaly, an unusual abundance of what is normally a very rare element in the Earth's crust
Magnetic anomaly, local variation in the Earth's magnetic field
Bangui magnetic anomaly, in central Africa
Kursk Magnetic Anomaly, territory rich in iron ores located within Kursk Oblast, Belgorod Oblast, and Oryol Oblast
Temagami Magnetic Anomaly, large buried geologic structure in the Temagami region of Ontario, Canada
See also
Bias (statistics)
Climate oscillation
Frequency spectrum
Innovation (signal processing)
Least squares
Least-squares spectral analysis
References
Time series
Climate and weather statistics
Geophysics |
https://en.wikipedia.org/wiki/List%20of%20Major%20League%20Baseball%20career%20putouts%20leaders | In baseball statistics, a putout (denoted by PO or fly out when appropriate) is given to a defensive player who records an out by a Tagging a runner with the ball when he is not touching a base (a tagout), catching a batted or thrown ball and tagging a base to put out a batter or runner (a Force out), catching a thrown ball and tagging a base to record an out on an appeal play, catching a third strike (a strikeout), catching a batted ball on the fly (a flyout), or being positioned closest to a runner called out for interference.
Jake Beckley is the all-time leader in career putouts with 23,743. Cap Anson (22,572), Ed Konetchy (21,378), Eddie Murray (21,265), Charlie Grimm (20,722), and Stuffy McInnis (20,120) are the only other players to record 20,000 career putouts.
Key
List
Stats updated as of October 1, 2023.
Notes
References
External links
Major League Baseball statistics
Putouts |
https://en.wikipedia.org/wiki/G%C3%BCnther%20Laukien%20Prize | The Günther Laukien Prize is a prize presented at the Experimental Nuclear Magnetic Resonance Conference "to recognize recent cutting-edge experimental NMR research with a high probability of enabling beneficial new applications". The prize was established in 1999 in memoriam to Günther Laukien, who was a pioneer in NMR research. The prize money of $20,000 is financed by Bruker, the company founded by Laukien. The recipients of the Günther Laukien Prize have been:
2023 Lyndon Emsley and Anne Lesage
2022 Michael Garwood
2021 Gareth Morris
2020 Simon Duckett, Konstantin Ivanov, and Warren S. Warren
2019 Geoffrey Bodenhausen, and Christian Griesinger
2018 Gerhard Wagner
2017 Kurt Zilm and Bernd Reif
2016 Robert S. Balaban and Peter van Zijl
2015 Arthur Palmer III
2014 Marc Baldus, Mei Hong, Ann McDermott, Beat H. Meier, Hartmut Oschkinat, and Robert Tycko
2013 Clare Grey
2012 Klaes Golman and Jan Henrik Ardenkjaer-Larsen
2011 Daniel Rugar, John Mamin, and John Sidles
2010 Paul Callaghan
2009 Daniel Weitekamp
2008 Malcolm Levitt
2007 Robert G. Griffin
2006 Thomas Szyperski, Eriks Kupce, Ray Freeman, and Rafael Bruschweiler
2005 Stephan Grzesiek
2004 Lewis E. Kay
2003 Jacob Schaefer
2002 Ad Bax, Aksel Bothner-By and James Prestegard
2001 Peter Boesiger, Klaas Prüßmann and Markus Weiger
2000 Lucio Frydman
1999 Konstantin Pervushin, Roland Riek, Gerhard Wider, and Kurt Wuthrich
See also
List of physics awards
References
External links
European Nuclear Magnetic Resonance Conference
Physics awards
American science and technology awards
Nuclear magnetic resonance |
https://en.wikipedia.org/wiki/Residence%20time%20%28statistics%29 | In statistics, the residence time is the average amount of time it takes for a random process to reach a certain boundary value, usually a boundary far from the mean.
Definition
Suppose is a real, scalar stochastic process with initial value , mean and two critical values }, where and . Define the first passage time of from within the interval as
where "inf" is the infimum. This is the smallest time after the initial time that is equal to one of the critical values forming the boundary of the interval, assuming is within the interval.
Because proceeds randomly from its initial value to the boundary, is itself a random variable. The mean of is the residence time,
For a Gaussian process and a boundary far from the mean, the residence time equals the inverse of the frequency of exceedance of the smaller critical value,
where the frequency of exceedance is
is the variance of the Gaussian distribution,
and is the power spectral density of the Gaussian distribution over a frequency .
Generalization to multiple dimensions
Suppose that instead of being scalar, has dimension , or . Define a domain that contains and has a smooth boundary . In this case, define the first passage time of from within the domain as
In this case, this infimum is the smallest time at which is on the boundary of rather than being equal to one of two discrete values, assuming is within . The mean of this time is the residence time,
Logarithmic residence time
The logarithmic residence time is a dimensionless variation of the residence time. It is proportional to the natural log of a normalized residence time. Noting the exponential in Equation , the logarithmic residence time of a Gaussian process is defined as
This is closely related to another dimensionless descriptor of this system, the number of standard deviations between the boundary and the mean, .
In general, the normalization factor can be difficult or impossible to compute, so the dimensionless quantities can be more useful in applications.
See also
Cumulative frequency analysis
Extreme value theory
First-hitting-time model
Frequency of exceedance
Mean time between failures
Notes
References
Extreme value data
Survival analysis
Reliability analysis |
https://en.wikipedia.org/wiki/William%20Duke%20%28mathematician%29 | William Drexel Duke (born 1958) is an American mathematician specializing in number theory.
Duke studied at the University of New Mexico and then at New York University (Courant Institute), from which he received his Ph.D. in 1986 under the direction of Peter Sarnak. After a postdoctoral stint at the University of California, San Diego he joined the faculty of Rutgers University, where he stayed until becoming a Professor of Mathematics at the University of California, Los Angeles. Since 2015, he has been Chair of the mathematics department at UCLA.
Honors
Duke gave an Invited Address at the 1998 International Congress of Mathematicians in Berlin. Duke gave an AMS Invited Address at a 2001 Fall sectional meeting of the American Mathematical Society in Irvine, California. He was selected as a fellow of the American Mathematical Society in 2016 "for contributions to analytic number theory and the theory of automorphic forms".
Duke is an Editorial Board Member for the book series "Monographs in Number Theory" published by World Scientific.
Students
Amanda Folsom
Selected publications
Duke, W. (1988) Hyperbolic distribution problems and half-integral weight Maass forms, Inventiones Mathematicae, 92, 73–90.
Duke, W., Schulze-Pillot, R. (1993) Representation of integers by positive ternary quadratic forms and equidistribution of lattice points on ellipsoids, Duke Mathematical Journal, 71, 143–179.
Duke, W., Friedlander, J., Iwaniec, H. (1993) Bounds for automorphic L-functions, Inventiones Mathematicae, 112, 1–8.
Duke, W., Friedlander, J., Iwaniec, H. (1994) Bounds for automorphic L-functions II, Inventiones Mathematicae, 115, 219–239.
Duke, W., Friedlander, J., Iwaniec, H. (1995), Equidistribution of roots of a quadratic congruence to prime moduli, Annals of Mathematics, 141, 423–441.
Duke, W. (1995) The critical order of vanishing of automorphic L-functions with large level, Inventiones Mathematicae, 119, 165–174.
Duke, W., Kowalski, E. (2000), A problem of Linnik for elliptic curves and mean-value estimates for automorphic representations. With an appendix by Dinakar Ramakrishnan, Inventiones Mathematicae, 139, 1–39.
Duke, W., Friedlander, J., Iwaniec, H. (2002), The subconvexity problem for Artin L-functions, Inventiones Mathematicae, 149, 489–577.
References
External links
William Duke's webpage at UCLA
1958 births
Living people
Number theorists
University of New Mexico alumni
Courant Institute of Mathematical Sciences alumni
Rutgers University faculty
University of California, Los Angeles faculty
Fellows of the American Mathematical Society
Mathematicians from California |
https://en.wikipedia.org/wiki/Cone%20%28algebraic%20geometry%29 | In algebraic geometry, a cone is a generalization of a vector bundle. Specifically, given a scheme X, the relative Spec
of a quasi-coherent graded OX-algebra R is called the cone or affine cone of R. Similarly, the relative Proj
is called the projective cone of C or R.
Note: The cone comes with the -action due to the grading of R; this action is a part of the data of a cone (whence the terminology).
Examples
If X = Spec k is a point and R is a homogeneous coordinate ring, then the affine cone of R is the (usual) affine cone over the projective variety corresponding to R.
If for some ideal sheaf I, then is the normal cone to the closed scheme determined by I.
If for some line bundle L, then is the total space of the dual of L.
More generally, given a vector bundle (finite-rank locally free sheaf) E on X, if R=Sym(E*) is the symmetric algebra generated by the dual of E, then the cone is the total space of E, often written just as E, and the projective cone is the projective bundle of E, which is written as .
Let be a coherent sheaf on a Deligne–Mumford stack X. Then let For any , since global Spec is a right adjoint to the direct image functor, we have: ; in particular, is a commutative group scheme over X.
Let R be a graded -algebra such that and is coherent and locally generates R as -algebra. Then there is a closed immersion
given by . Because of this, is called the abelian hull of the cone For example, if for some ideal sheaf I, then this embedding is the embedding of the normal cone into the normal bundle.
Computations
Consider the complete intersection ideal and let be the projective scheme defined by the ideal sheaf . Then, we have the isomorphism of -algebras is given by
Properties
If is a graded homomorphism of graded OX-algebras, then one gets an induced morphism between the cones:
.
If the homomorphism is surjective, then one gets closed immersions
In particular, assuming R0 = OX, the construction applies to the projection (which is an augmentation map) and gives
.
It is a section; i.e., is the identity and is called the zero-section embedding.
Consider the graded algebra R[t] with variable t having degree one: explicitly, the n-th degree piece is
.
Then the affine cone of it is denoted by . The projective cone is called the projective completion of CR. Indeed, the zero-locus t = 0 is exactly and the complement is the open subscheme CR. The locus t = 0 is called the hyperplane at infinity.
O(1)
Let R be a quasi-coherent graded OX-algebra such that R0 = OX and R is locally generated as OX-algebra by R1. Then, by definition, the projective cone of R is:
where the colimit runs over open affine subsets U of X. By assumption R(U) has finitely many degree-one generators xi's. Thus,
Then has the line bundle O(1) given by the hyperplane bundle of ; gluing such local O(1)'s, which agree locally, gives the line bundle O(1) on .
For any integer n, one also writes O(n) for the n-th tensor power of O(1). If th |
https://en.wikipedia.org/wiki/Selection%20principle | In mathematics, a selection principle is a rule asserting
the possibility of obtaining mathematically significant objects by
selecting elements from given sequences of sets. The theory of selection principles
studies these principles and their relations to other mathematical properties.
Selection principles mainly describe covering properties,
measure- and category-theoretic properties, and local properties in
topological spaces, especially function spaces. Often, the
characterization of a mathematical property using a selection
principle is a nontrivial task leading to new insights on the
characterized property.
The main selection principles
In 1924, Karl Menger
introduced the following basis property for metric spaces:
Every basis of the topology contains a sequence of sets with vanishing
diameters that covers the space. Soon thereafter,
Witold Hurewicz
observed that Menger's basis property is equivalent to the
following selective property: for every sequence of open covers of the space,
one can select finitely many open sets from each cover in the sequence, such that the family of all selected sets covers the space.
Topological spaces having this covering property are called Menger spaces.
Hurewicz's reformulation of Menger's property was the first important
topological property described by a selection principle.
Let and be classes of mathematical objects.
In 1996, Marion Scheepers
introduced the following selection hypotheses,
capturing a large number of classic mathematical properties:
: For every sequence of elements from the class , there are elements such that .
: For every sequence of elements from the class , there are finite subsets such that .
In the case where the classes and consist of covers of some ambient space, Scheepers also introduced the following selection principle.
: For every sequence of elements from the class , none containing a finite subcover, there are finite subsets such that .
Later, Boaz Tsaban identified the prevalence of the following related principle:
: Every member of the class includes a member of the class .
The notions thus defined are selection principles. An instantiation of a selection principle, by considering specific classes and , gives a selection (or: selective) property. However, these terminologies are used interchangeably in the literature.
Variations
For a set and a family of subsets of , the star of in is the set .
In 1999, Ljubisa D.R. Kocinac introduced the following star selection principles:
: For every sequence of elements from the class , there are elements such that .
: For every sequence of elements from the class , there are finite subsets such that .
The star selection principles are special cases of the general selection principles. This can be seen by modifying the definition of the family accordingly.
Covering properties
Covering properties form the kernel of the theory of selection principles. Selection properties that ar |
https://en.wikipedia.org/wiki/Investigations%20in%20Mathematics%20Learning | Investigations in Mathematics Learning is the official research journal of the Research Council for Mathematics Learning. RCML seeks to stimulate, generate, coordinate, and disseminate research efforts designed to understand and/or influence factors that affect mathematics learning.
References
Mathematics journals
Mathematics education
Mathematics education in the United States
Mathematics education journals |
https://en.wikipedia.org/wiki/Grassmann%20bundle | In algebraic geometry, the Grassmann d-plane bundle of a vector bundle E on an algebraic scheme X is a scheme over X:
such that the fiber is the Grassmannian of the d-dimensional vector subspaces of . For example, is the projective bundle of E. In the other direction, a Grassmann bundle is a special case of a (partial) flag bundle. Concretely, the Grassmann bundle can be constructed as a Quot scheme.
Like the usual Grassmannian, the Grassmann bundle comes with natural vector bundles on it; namely, there are universal or tautological subbundle S and universal quotient bundle Q that fit into
.
Specifically, if V is in the fiber p−1(x), then the fiber of S over V is V itself; thus, S has rank r = d = dim(V) and is the determinant line bundle. Now, by the universal property of a projective bundle, the injection corresponds to the morphism over X:
,
which is nothing but a family of Plücker embeddings.
The relative tangent bundle TGd(E)/X of Gd(E) is given by
which morally is given by the second fundamental form. In the case d = 1, it is given as follows: if V is a finite-dimensional vector space, then for each line in V passing through the origin (a point of ), there is the natural identification (see Chern class#Complex projective space for example):
and the above is the family-version of this identification. (The general care is a generalization of this.)
In the case d = 1, the early exact sequence tensored with the dual of S = O(-1) gives:
,
which is the relative version of the Euler sequence.
References
Algebraic geometry |
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