source
stringlengths 31
168
| text
stringlengths 51
3k
|
|---|---|
https://en.wikipedia.org/wiki/IMA%20Journal%20of%20Management%20Mathematics
|
The IMA Journal of Management Mathematics (IMAMAN) is a quarterly peer reviewed academic journal published by Oxford University Press on behalf of the Institute of Mathematics and its Applications.
The journal publishes mathematical research of the highest quality that can be directly utilised or have demonstrable potential to be employed by managers to improve their practices.
It covers relevant research in all aspects of management mathematics, and is currently organised around 6 main Areas: Decision Analysis, Finance, Health and Society, Multidisciplinary Management Mathematics, Operations, and Sport.
History
The history of the journal is discussed in detail in an Editorial contributed by Roge Mamon, Phil Scarf and Aris Syntetos in 2020.
The journal was established in 1986 and titled the IMA Journal of Mathematics in Management. This expanded the suite of mathematics journals published by Oxford University Press on behalf of the Institute of Mathematics and its Applications (IMA) from five to six journals. The first editorial by the first editors, Roy Stainton and Raymond Cuninghame-Green, made it very clear that ‘the central position of mathematics and the equal valuation of theory and practice shall be the hallmarks of [the] new journal’. This continues to be the guiding principle for the journal.
Roy Stainton was Professor of Operational Research at the University of Southampton and was appointed president of the Operational Research Society (ORS) in 1984. Many later editors also held the ORS presidency. Ray Cuninghame-Green was Professor of Industrial Mathematics at the University of Birmingham from 1975–1999, where he laid the foundations of management mathematics. He was a pioneer of max-algebra.
Lyn Thomas was appointed as editor in 1988, and the journal changed its name to the IMA Journal of Mathematics Applied in Business and Industry in the same year. Lyn was Professor at the University of Edinburgh (later at the University of Southampton) and served until 1996. Credit scoring was an important, developing topic during this time, and Lyn made many significant contributions. The Southampton connection was maintained when Sean McKee replaced Roy Stainton in 1992. Russell Cheng replaced Lyn in 1996 and served the journal until 2001.
During the 1970s, Lyn was a member of the OR group at the University of Manchester headed by Doug White. Indirectly then, Doug had an influence on the journal, not least because a later editor, Tony Christer, spent formative years in the same group. Tony was appointed as Editor in 2001 and changed the journal’s title to IMA Journal of Management Mathematics, with which the journal persists to this day. Tony published many of his own papers in the journal on maintenance modelling. This remains an important topic for the journal. The first editors, Ray and Roy, would have approved of the title change, because management is universal whereas business and industry might be interpreted more narrowly. N
|
https://en.wikipedia.org/wiki/1952%E2%80%9353%20Rochdale%20A.F.C.%20season
|
The 1952–53 season saw Rochdale compete for their 25th season in the Football League Third Division North.
Statistics
|}
Final League Table
Competitions
Football League Third Division North
F.A. Cup
Lancashire Cup
References
Rochdale A.F.C. seasons
Rochdale
|
https://en.wikipedia.org/wiki/Donald%20S.%20Passman
|
Donald Steven Passman (born March 28, 1940 in New York City) is an American mathematician, specializing in ring theory, group theory, and Lie algebra theory.
Biography
After attending the Bronx High School of Science, Passman matriculated at the Polytechnic Institute of Brooklyn, where he graduated with B.S. in 1960. He then became a graduate student in mathematics at Harvard University, where he graduated with M.A. in 1961 and Ph.D. in 1964. His doctoral dissertation was written under the supervision of Richard Brauer. Passman was an assistant professor from 1964 to 1966 at the University of California, Los Angeles (U.C.L.A.) and from 1966 to 1969 at Yale University. At the University of Wisconsin–Madison, he was from 1969 to 1971 an associate professor, from 1971 to 1995 a full professor, and from 1995 to 2011 the Richard Brauer Professor of Mathematics. In 2011 he retired as professor emeritus.
Passman has written 7 books and more than 180 research publications. He has given over 70 invited addresses, not only in North America but also in Europe, Brazil, Israel, and Turkey. He has been an editor for several mathematical journals, including the International Journal of Mathematics, Game Theory and Algebra (1991–2013), Beiträge zur Algebra und Geometrie (1993–2013), Algebras and Representation Theory (2001–2011), and the Journal of Algebra and its Applications (2001–2016).
In 1963 Passman married Marjorie Mednick. They have two children, Barbara and Jonathan, and five grandchildren, Samuel, Rebecca, Abraham, Jordan and Eve.
Awards and honors
1977 — Lester R. Ford Award for 1976 article What is a group ring?
1989 — Plenary speaker, Canadian Math Society summer meeting, Windsor Ontario, June 1989
2000 — Deborah and Franklin Tepper Haimo Award for Distinguished University Teaching, Mathematical Association of America
2012 — elected a 2013 Fellow of the American Mathematical Society
Books
Permutation Groups, Benjamin, New York, (1968), pbk edition, Dover, Mineola, (2012).
Infinite Group Rings, Marcel Dekker, New York, (1971).
The Algebraic Structure of Group Rings, Wiley-Interscience, New York (1977), [Krieger, Malabar, (1985)], pbk edition, Dover, Mineola, (2011).
Group rings, Crossed Products and Galois Theory, CBMS Conference Notes, AMS, Providence, 1986.
Infinite Crossed Products, Academic Press, Boston, (1989), pbk edition, Dover, Mineola, (2013).
A Course in Ring Theory, Wadsworth, Pacific Grove, (1991), pbk edition, Chelsea-AMS, Providence, (2004).
Lectures on Linear Algebra, World Scientific, Singapore, (2022),
References
External links
1940 births
Living people
20th-century American mathematicians
21st-century American mathematicians
Algebraists
Group theorists
Fellows of the American Mathematical Society
The Bronx High School of Science alumni
Harvard University alumni
University of Wisconsin–Madison faculty
|
https://en.wikipedia.org/wiki/Mortal%20Geometry
|
Mortal Geometry is the seventh studio album by Numb, released on August 23, 2019 by Metropolis Records.
Reception
A critic at I Die: You Die credited the band with sounding inventive after over twenty year away from studio, saying "fluid textures of the later-90s material with some of the clarity and structure of their mechanized-rock era proves to be a good formula that sounds like the band without also sounding dated or like a retread."
Track listing
Personnel
Adapted from the Mortal Geometry liner notes.
Numb
Don Gordon – lead vocals, instruments, production, instruments, production
Additional musicians
Khuyết Danh – vocals (4)
Production and design
Giang Nguyen – design
Tim Oberthier – engineering
Dee Partdrige – photography
Andrew Stiff – cover art
Eric Van Wonterghem – mastering
Release history
References
External links
Mortal Geometry at Bandcamp
2019 albums
Numb (band) albums
Metropolis Records albums
|
https://en.wikipedia.org/wiki/Section%20formula
|
In coordinate geometry, Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. It is used to find out the centroid, incenter and excenters of a triangle. In physics, it is used to find the center of mass of systems, equilibrium points, etc.
Internal Divisions
If point P (lying on AB) divides the line segment AB joining the points and in the ratio m:n, then
The ratio m:n can also be written as , or , where . So, the coordinates of point dividing the line segment joining the points and are:
Similarly, the ratio can also be written as , and the coordinates of P are .
Proof
Triangles .
External Divisions
If a point P (lying on the extension of AB) divides AB in the ratio m:n then
Proof
Midpoint formula
The midpoint of a line segment divides it internally in the ratio . Applying the Section formula for internal division:
Derivation
Centroid
The centroid of a triangle is the intersection of the medians and divides each median in the ratio . Let the vertices of the triangle be , and . So, a median from point A will intersect BC at .
Using the section formula, the centroid becomes:
In 3-Dimensions
Let A and B be two points with Cartesian coordinates (x1, y1, z1) and (x2, y2, z2) and P be a point on the line through A and B. If . Then the section formulae give the coordinates of P as
If, instead, P is a point on the line such that , its coordinates are .
In vectors
The position vector of a point P dividing the line segment joining the points A and B whose position vectors are and
in the ratio internally, is given by
in the ratio externally, is given by
See also
Cross-section Formula
Distance Formula
Midpoint Formula
References
External links
section-formula by GeoGebra
Analytic geometry
|
https://en.wikipedia.org/wiki/Descartes%20on%20Polyhedra
|
Descartes on Polyhedra: A Study of the "De solidorum elementis" is a book in the history of mathematics, concerning the work of René Descartes on polyhedra. Central to the book is the disputed priority for Euler's polyhedral formula between Leonhard Euler, who published an explicit version of the formula, and Descartes, whose De solidorum elementis includes a result from which the formula is easily derived.
Descartes on Polyhedra was written by Pasquale Joseph Federico (1902–1982), and published posthumously by Springer-Verlag in 1982, with the assistance of Federico's widow Bianca M. Federico, as volume 4 of their book series Sources in the History of Mathematics and Physical Sciences. The Basic Library List Committee of the Mathematical Association of America has suggested its inclusion in undergraduate mathematics libraries.
Topics
The original Latin manuscript of De solidorum elementis was written circa 1630 by Descartes; reviewer Marjorie Senechal calls it "the first general treatment of polyhedra", Descartes' only work in this area, and unfinished, with its statements disordered and some incorrect. It turned up in Stockholm in Descartes' estate after his death in 1650, was soaked for three days in the Seine when the ship carrying it back to Paris was wrecked, and survived long enough for Gottfried Wilhelm Leibniz to copy it in 1676 before disappearing for good. Leibniz's copy, also lost, was rediscovered in Hannover around 1860. The first part of Descartes on Polyhedra relates this history, sketches the biography of Descartes, provides an eleven-page facsimile reproduction of Leibniz's copy, and gives a transcription, English translation, and commentary on this text, including explanations of some of its notation.
In De solidorum elementis, Descartes states (without proof) Descartes' theorem on total angular defect, a discrete version of the Gauss–Bonnet theorem according to which the angular defects of the vertices of a convex polyhedron (the amount by which the angles at that vertex fall short of the angle surrounding any point on a flat plane) always sum to exactly . Descartes used this theorem to prove that the five Platonic solids are the only possible regular polyhedra. It is also possible to derive Euler's formula relating the numbers of vertices, edges, and faces of a convex polyhedron from Descartes' theorem, and De solidorum elementis also includes a formula more closely resembling Euler's relating the number of vertices, faces, and plane angles of a polyhedron. Since the rediscovery of Descartes' manuscript, many scholars have argued that the credit for Euler's formula should go to Descartes rather than to Leonhard Euler, who published the formula (with an incorrect proof) in 1752. The second part of Descartes on Polyhedra reviews this debate, and compares the reasoning of Descartes and Euler on these topics. Ultimately, the book concludes that Descartes probably did not discover Euler's formula, and reviewers Senechal and H
|
https://en.wikipedia.org/wiki/Jeong%20Hyun-woo
|
Jeong Hyun-woo (; born 12 July 2000) is a South Korea footballer currently playing as a midfielder.
Career statistics
Club
References
2000 births
Living people
South Korean men's footballers
Men's association football midfielders
K League 2 players
K League 1 players
Gwangju FC players
|
https://en.wikipedia.org/wiki/Mudhafar%20Nouri
|
Mudhafar Nouri Fathi (1 July 1948 – 4 July 2007) was an Iraqi football forward who played for Iraq between 1967 and 1971.
Nouri died on 4 July 2007.
Career statistics
International goals
Scores and results list Iraq's goal tally first.
References
Iraqi men's footballers
Iraq men's international footballers
Al-Shorta SC players
Al-Shorta SC managers
1948 births
2007 deaths
Men's association football forwards
Iraqi football managers
|
https://en.wikipedia.org/wiki/Ronald%20Fuentes%20%28soccer%29
|
Ronald Fuentes (born March 1, 2002) is an American soccer player who currently plays as a midfielder for Loudoun United in the USL Championship via the D.C. United academy.
Career statistics
Club
Notes
References
2002 births
Living people
American men's soccer players
Men's association football midfielders
Loudoun United FC players
Soccer players from Maryland
USL Championship players
People from Fort Washington, Maryland
Sportspeople from Prince George's County, Maryland
|
https://en.wikipedia.org/wiki/Leonardo%20Bellandi
|
Leonardo Bellandi (born 12 January 2000) is an Italian footballer who plays as a midfielder for Serie B side Livorno.
Club statistics
Club
Notes
References
2000 births
Living people
Italian men's footballers
Men's association football midfielders
Serie B players
US Livorno 1915 players
Footballers from Livorno
|
https://en.wikipedia.org/wiki/Gian%20Franco%20Allala
|
Gian Franco Allala Menéndez (born 17 January 1997) is an Uruguayan footballer who plays as a Centre-back for Boston River.
Career statistics
Club
Notes
References
1997 births
Living people
Uruguayan men's footballers
Uruguayan expatriate men's footballers
Men's association football defenders
Uruguayan Segunda División players
Uruguayan Primera División players
People from Juan Lacaze
Footballers from Colonia Department
Tercera División players
Segunda División B players
Liverpool F.C. (Montevideo) players
Rampla Juniors players
Sud América players
Cádiz CF players
Cádiz CF Mirandilla players
CD Izarra footballers
Miramar Misiones players
Central Español players
Defensor Sporting players
Atenas de San Carlos players
Boston River players
Uruguayan expatriate sportspeople in Spain
Expatriate men's footballers in Spain
|
https://en.wikipedia.org/wiki/Graph%20homology
|
In algebraic topology and graph theory, graph homology describes the homology groups of a graph, where the graph is considered as a topological space. It formalizes the idea of the number of "holes" in the graph. It is a special case of a simplicial homology, as a graph is a special case of a simplicial complex. Since a finite graph is a 1-complex (i.e., its 'faces' are the vertices - which are 0-dimensional, and the edges - which are 1-dimensional), the only non-trivial homology groups are the 0-th group and the 1-th group.
The 1st homology group
The general formula for the 1st homology group of a topological space X is: The example below explains these symbols and concepts in full detail on a graph.
Example
Let X be a directed graph with 3 vertices {x,y,z} and 4 edges {a: x→y, b: y→z, c: z→x, d: z→x}. It has several cycles:
One cycle is represented by the loop a+b+c. Here, the plus sign represents the fact that all edges are travelled at the same direction. Since the addition operation is commutative, the + sign represents the fact that the loops a+b+c, b+c+a, and c+a+b, all represent the same cycle.
A second cycle is represented by the loop a+b+d.
A third cycle is represented by the loop c−d. Here, the minus sign represents the fact that the edge d is travelled backwards.
If we cut the plane along the loop a+b+d, and then cut at c and "glue" at d, we get a cut along the loop a+b+c. This can be represented by the following relation: (a+b+d) + (c-d) = (a+b+c). To formally define this relation, we define the following commutative groups:
C0 is the free abelian group generated by the set of vertices {x,y,z}. Each element of C0 is called a 0-dimensional chain.
C1 is the free abelian group generated by the set of directed edges {a,b,c,d}. Each element of C1 is called a 1-dimensional chain. The three cycles mentioned above are 1-dimensional chains, and indeed the relation (a+b+d) + (c-d) = (a+b+c) holds in the group C1.
Most elements of C1 are not cycles, for example a+b, 2a+5b-c, etc. are not cycles. To formally define a cycle, we first define boundaries. The boundary of an edge is denoted by the operator and defined as its target minus its source, so So is a mapping from the group C1 to the group C0. Since a,b,c,d are the generators of C1, this naturally extends to a group homomorphism from C1 to C0. In this homomorphism, . Similarly, maps any cycle in C1 to the zero element of C0. In other words, the set of cycles in C1 generates the null space (the kernel) of . In this case, the kernel of has two generators: one corresponds to a+b+c and the other to a+b+d (the third cycle, c-d, is a linear combination of the first two). So ker is isomorphic to Z2.
In a general topological space, we would define higher-dimensional chains. In particular, C2 would be the free abelian group on the set of 2-dimensional objects. However, in a graph there are no such objects, so C2 is a trivial group. Therefore, the image of the second boundary op
|
https://en.wikipedia.org/wiki/Reg%20Wade
|
Reginald Thomas Wade was an English professional footballer who made over 180 appearances in the Football League for Aldershot. He also played league football for West Ham United.
Career statistics
Honours
Ilford
FA Amateur Cup: 1928–29
References
English Football League players
English men's footballers
Isthmian League players
Clapton Orient F.C. wartime guest players
Millwall F.C. players
Men's association football fullbacks
Footballers from Ilford
1907 births
Year of death missing
Barking F.C. players
Ilford F.C. players
West Ham United F.C. players
Aldershot F.C. players
|
https://en.wikipedia.org/wiki/Yerson%20Guti%C3%A9rrez
|
Yerson Gutiérrez Cuenca (born 20 January 1994) is a Colombian footballer who currently plays as a forward for Marathón.
Career statistics
Club
Notes
References
1994 births
Living people
Colombian men's footballers
Colombian expatriate men's footballers
Men's association football forwards
América de Cali footballers
Atlético Cali footballers
C.D. Honduras Progreso players
C.D. Marathón players
Categoría Primera B players
Liga Nacional de Fútbol Profesional de Honduras players
Colombian expatriate sportspeople in Ecuador
Expatriate men's footballers in Ecuador
Colombian expatriate sportspeople in Honduras
Expatriate men's footballers in Honduras
Footballers from Valle del Cauca Department
|
https://en.wikipedia.org/wiki/Sebastian%20Col%C3%B3n
|
Sebastian José Colón (born 25 June 1998) is a Colombian footballer who currently plays as a midfielder for Marathón.
Career statistics
Club
Notes
References
1998 births
Living people
Colombian men's footballers
Colombian expatriate men's footballers
Men's association football midfielders
C.D. Real de Minas players
C.D. Marathón players
Liga Nacional de Fútbol Profesional de Honduras players
Colombian expatriate sportspeople in Honduras
Expatriate men's footballers in Honduras
|
https://en.wikipedia.org/wiki/Klein%20Eden
|
Klein Stanley Eden Cristobal (born 12 December 1996) is a Trinidadian footballer.
Career statistics
Club
Notes
References
1996 births
Living people
Trinidad and Tobago men's footballers
Trinidad and Tobago expatriate men's footballers
Men's association football midfielders
Platense F.C. players
Liga Nacional de Fútbol Profesional de Honduras players
Trinidad and Tobago expatriate sportspeople in Honduras
Expatriate men's footballers in Honduras
|
https://en.wikipedia.org/wiki/Rodrigo%20%28footballer%2C%20born%201987%29
|
Rodrigo Fagundes Freitas (born 10 Match 1987), known as Rodrigo Fagundes or simply Rodrigo is a Brazilian footballer who currently plays as a defender for Criciúma.
Career statistics
Club
Notes
References
1987 births
Living people
Brazilian men's footballers
Men's association football defenders
Campeonato Brasileiro Série B players
Campeonato Brasileiro Série C players
Campeonato Brasileiro Série D players
Esporte Clube Santo André players
Footballers from Mato Grosso do Sul
|
https://en.wikipedia.org/wiki/Juan%20Bola%C3%B1os
|
Yerson Gutiérrez Cuenca (born 20 January 1994) is a Colombian footballer who currently plays as a forward for Marathón.
Career statistics
Club
Notes
References
1991 births
Living people
Colombian men's footballers
Colombia men's youth international footballers
Colombian expatriate men's footballers
Men's association football defenders
Academia F.C. players
Godoy Cruz Antonio Tomba footballers
Tianjin Tianhai F.C. players
FBC Melgar footballers
Platense F.C. players
Gudja United F.C. players
Categoría Primera B players
China League One players
Peruvian Primera División players
Liga Nacional de Fútbol Profesional de Honduras players
Maltese Premier League players
Colombian expatriate sportspeople in Argentina
Expatriate men's footballers in Argentina
Colombian expatriate sportspeople in China
Expatriate men's footballers in China
Colombian expatriate sportspeople in Peru
Expatriate men's footballers in Peru
Colombian expatriate sportspeople in Honduras
Expatriate men's footballers in Honduras
Colombian expatriate sportspeople in Malta
Expatriate men's footballers in Malta
People from Villavicencio
|
https://en.wikipedia.org/wiki/Matheus%20Pinto
|
Matheus dos Santos Pinto (born 5 October 1992) is a Brazilian footballer.
Career statistics
Club
Notes
References
1992 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football midfielders
America Football Club (Rio de Janeiro) players
São Cristóvão de Futebol e Regatas players
Esporte Clube Flamengo players
Resende FC
Alecrim Futebol Clube players
Platense F.C. players
C.D. Real Sociedad players
Goytacaz Futebol Clube players
Liga Nacional de Fútbol Profesional de Honduras players
Brazilian expatriate sportspeople in Honduras
Expatriate men's footballers in Honduras
Footballers from Rio de Janeiro (city)
|
https://en.wikipedia.org/wiki/Pablo%20Ortiz%20%28footballer%29
|
Pablo Andres Ortiz Gonzalez (born 7 January 1998) is a Colombian footballer who plays for Honduran side Real de Minas.
Career statistics
Club
Notes
References
External links
Profile at Saginaw Valley State University
Living people
1998 births
Colombian men's footballers
Colombian expatriate men's footballers
Men's association football midfielders
Saginaw Valley State University alumni
FC Golden State Force players
C.D. Real de Minas players
USL League Two players
Liga Nacional de Fútbol Profesional de Honduras players
Colombian expatriate sportspeople in the United States
Expatriate men's soccer players in the United States
Colombian expatriate sportspeople in Honduras
Expatriate men's footballers in Honduras
Footballers from Cali
|
https://en.wikipedia.org/wiki/R%C3%BCdiger%20Thiele
|
Rolf-Rüdiger Thiele (born 29 April 1943 in Polepp, Bohemia) is a German mathematician and historian of mathematics, known for his historical research on Hilbert's twenty-fourth problem.
Education and career
Thiele studied mathematics, physics, and psychology at the Martin Luther University of Halle-Wittenberg and received his promotion (Ph.D.) there in 1973. He then worked in the publishing business in Leipzig for B. G. Teubner Verlag and Salomon Hirzel Verlag. From 1986 to 2008 he worked at the Karl-Sudhoff-Institut für Geschichte der Medizin und der Naturwissenschaften (Karl Sudhoff Institute for the History of Medicine and Natural Sciences) at the University of Leipzig. He has held visiting positions at the Johannes Gutenberg University Mainz (from 1992 to 1995 as chair for the history of natural sciences), at TU Darmstadt, at the University of Bonn (from 1995 to 1996), and at the University of Toronto.
In 2001 Thiele habilitated in the department of mathematics at the University of Hamburg with his work Von der Bernoullischen Brachistochrone zum Kalibratorkonzept (From the Bernoullian brachistochrone to the calibrator concept). His habilitation thesis was published in the series Collection de travaux de l'Académie internationale d'Histoire des Sciences , Brepols Verlag, Turnhout. In 2002 he became a privatdozent in the department of mathematics at the University of Leipzig. In 2004 he was awarded the Lester R. Ford Award of the Mathematical Association of America for his expository article on Hilbert's cancelled 24th problem. He discovered the 24th problem in an unpublished notebook among Hilbert's Nachlass. Thiele is the vice president of the Euler Society.
His most important works deal with the biographies of Leonhard Euler, Bartel Leendert van der Waerden, David Hilbert, Felix Klein. Central topics in his historical research are analysis and the calculus of variations. In his writings Thiele uses numerous previously unpublished sources.
In addition to numerous book publications and specialist articles on various questions in the history of mathematics, he has published several books on mathematical games in recreational mathematics (often in collaboration with Konrad Haase).
Selected publications
Leonhard Euler. BSB B.G.Teubner, Leipzig 1982, .
Er rechnete, wie andere atmen. EULERS Beiträge zum Funktionsbegriff. Euler-Vortrag im Schlosstheater des Neuen Palais von Sanssouci, Potsdam, 21 May 1999, Online-Version.
Hilbert’s Twenty-Fourth Problem. In: The American Mathematical Monthly. January 2003, pp. 1–24.
The Mathematics and Science of Leonhard Euler (1707–1783). In: Glen van Brummelen, Michael Kinyon (eds.): Mathematics and the Historian's Craft. Springer, New York 2005, , pp. 81–140.
Van der Waerden in Leipzig. (= EAGLE 036). Mit einem Geleitwort von Friedrich Hirzebruch. Edition am Gutenbergplatz Leipzig, Leipzig 2009, .
Felix Klein in Leipzig. (= EAGLE 047). Edition am Gutenbergplatz Leipzig, Leipzig 2011, .
Felix Klein
|
https://en.wikipedia.org/wiki/Jeffrey%20Vetter
|
Jeffrey S. Vetter is a Corporate Fellow of computer science and mathematics, and the founding group leader at the Future Technologies Group in the Computer Science and Mathematics Division of Oak Ridge National Laboratory.
Education
Vetter attended Georgia Tech where he obtained his Ph.D. in computer science.
Research
His current research interests include scientific workflow systems, cloud computing, resource management, with particular emphasis on scientific workflow system management.
Honors
Vetter is a Fellow of the IEEE.
References
Living people
Fellow Members of the IEEE
Place of birth missing (living people)
Year of birth missing (living people)
Georgia Tech alumni
American computer scientists
|
https://en.wikipedia.org/wiki/Keita%20Ide
|
is a Japanese footballer currently playing as a defender for Reilac Shiga.
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Men's association football defenders
J3 League players
Kashiwa Reysol players
Tochigi SC players
Sportspeople from Chiba Prefecture
|
https://en.wikipedia.org/wiki/Hiroaki%20Aoyama
|
is a Japanese footballer currently playing as a midfielder for Blacktown City in Australia.
Career statistics
Club
.
Notes
References
External links
1996 births
Living people
People from Tsushima, Aichi
Association football people from Aichi Prefecture
Chuo University alumni
Biwako Seikei Sport College alumni
Japanese men's footballers
Japanese expatriate men's footballers
Men's association football midfielders
J3 League players
Nagoya Grampus players
Fukushima United FC players
|
https://en.wikipedia.org/wiki/Tsubasa%20Umeki
|
is a Japanese footballer currently playing as a midfielder for Renofa Yamaguchi FC.
Career statistics
Club
.
Notes
References
External links
1998 births
Living people
Sportspeople from Shimane Prefecture
Association football people from Shimane Prefecture
Fukuoka University alumni
Japanese men's footballers
Men's association football midfielders
J2 League players
Renofa Yamaguchi FC players
|
https://en.wikipedia.org/wiki/Masahiro%20Sekiguchi
|
is a Japanese footballer currently playing as a right back for Ventforet Kofu as a designated special player.
Career statistics
Club
.
Notes
Honours
Club
Ventforet Kofu
Emperor's Cup: 2022
References
External links
1998 births
Living people
Japanese men's footballers
Men's association football defenders
Hosei University alumni
J2 League players
Ventforet Kofu players
Sportspeople from Niigata (city)
|
https://en.wikipedia.org/wiki/Eric%20Weightman
|
Eric John Weightman (4 May 1910 – January 2002) was an English professional footballer who played in the Football League for Chesterfield and Middlesbrough as a left half.
Career statistics
Honours
Chesterfield
Mansfield Charity Cup: 1936–37
Chesterfield Senior Cup: 1937–38
Chesterfield Hospital Cup: 1938–39
References
English Football League players
English men's footballers
Clapton Orient F.C. wartime guest players
Men's association football wing halves
Footballers from York
1910 births
2002 deaths
Scarborough F.C. players
Middlesbrough F.C. players
Chesterfield F.C. players
Notts County F.C. players
Watford F.C. wartime guest players
Charlton Athletic F.C. wartime guest players
|
https://en.wikipedia.org/wiki/Atanas%20Stoimenov
|
Atanas Stoimenov (Bulgarian: Атанас Стоименов; born 25 September 2002) is a Bulgarian footballer who plays as a midfielder for Botev Plovdiv II.
Career statistics
Club
References
External links
2002 births
Living people
Bulgarian men's footballers
Men's association football midfielders
First Professional Football League (Bulgaria) players
Second Professional Football League (Bulgaria) players
Botev Plovdiv players
FC Yantra Gabrovo players
Sportspeople from Pazardzhik
|
https://en.wikipedia.org/wiki/Rudinei
|
Rudinei Amâncio (born 5 March 1975) is a former Brazilian footballer. He played professionally in both Brazil and China, most notably for Criciúma in 1995.
Career statistics
Club
Notes
References
1975 births
Living people
Brazilian men's footballers
Brazilian expatriate men's footballers
Men's association football forwards
Joinville Esporte Clube players
Club Athletico Paranaense players
Criciúma Esporte Clube players
Sociedade Esportiva Recreativa e Cultural Brasil players
Henan F.C. players
Campeonato Brasileiro Série A players
Brazilian expatriate sportspeople in China
Expatriate men's footballers in China
|
https://en.wikipedia.org/wiki/Homological%20connectivity
|
In algebraic topology, homological connectivity is a property describing a topological space based on its homology groups.
Definitions
Background
X is homologically-connected if its 0-th homology group equals Z, i.e. , or equivalently, its 0-th reduced homology group is trivial: .
For example, when X is a graph and its set of connected components is C, and (see graph homology). Therefore, homological connectivity is equivalent to the graph having a single connected component, which is equivalent to graph connectivity. It is similar to the notion of a connected space.
X is homologically 1-connected if it is homologically-connected, and additionally, its 1-th homology group is trivial, i.e. .
For example, when X is a connected graph with vertex-set V and edge-set E, . Therefore, homological 1-connectivity is equivalent to the graph being a tree. Informally, it corresponds to X having no "holes" with a 1-dimensional boundary, which is similar to the notion of a simply connected space.
In general, for any integer k, X is homologically k-connected if its reduced homology groups of order 0, 1, ..., k are all trivial. Note that the reduced homology group equals the homology group for 1,..., k (only the 0-th reduced homology group is different).
Connectivity
The homological connectivity of X, denoted connH(X), is the largest k ≥ 0 for which X is homologically k-connected. Examples:
If all reduced homology groups of X are trivial, then connH(X) = infinity. This holds, for example, for any ball.
If the 0th group is trivial but the 1th group is not, then connH(X) = 0. This holds, for example, for a connected graph with a cycle.
If all reduced homology groups are non-trivial, then connH(X) = -1. This holds for any disconnected space.
The connectivity of the empty space is, by convention, connH(X) = -2.
Some computations become simpler if the connectivity is defined with an offset of 2, that is, . The eta of the empty space is 0, which is its smallest possible value. The eta of any disconnected space is 1.
Dependence on the field of coefficients
The basic definition considers homology groups with integer coefficients. Considering homology groups with other coefficients leads to other definitions of connectivity. For example, X is F2-homologically 1-connected if its 1st homology group with coefficients from F2 (the cyclic field of size 2) is trivial, i.e.: .
Homological connectivity in specific spaces
For homological connectivity of simplicial complexes, see simplicial homology. Homological connectivity was calculated for various spaces, including:
The independence complex of a graph;
A random 2-dimensional simplicial complex;
A random k-dimensional simplicial complex;
A random hypergraph;
A random Čech complex.
Relation with homotopical connectivity
Hurewicz theorem relates the homological connectivity to the homotopical connectivity, denoted by .
For any X that is simply-connected, that is, , the connectivities are the sa
|
https://en.wikipedia.org/wiki/Filters%2C%20random%20fields%2C%20and%20maximum%20entropy%20model
|
In the domain of physics and probability, the filters, random fields, and maximum entropy (FRAME) model is a Markov random field model (or a Gibbs distribution) of stationary spatial processes, in which the energy function is the sum of translation-invariant potential functions that are one-dimensional non-linear transformations of linear filter responses. The FRAME model was originally developed by Song-Chun Zhu, Ying Nian Wu, and David Mumford for modeling stochastic texture patterns, such as grasses, tree leaves, brick walls, water waves, etc. This model is the maximum entropy distribution that reproduces the observed marginal histograms of responses from a bank of filters (such as Gabor filters or Gabor wavelets), where for each filter tuned to a specific scale and orientation, the marginal histogram is pooled over all the pixels in the image domain. The FRAME model is also proved to be equivalent to the micro-canonical ensemble, which was named the Julesz ensemble. Gibbs sampler is adopted to synthesize texture images by drawing samples from the FRAME model.
The original FRAME model is homogeneous for texture modeling. Xie et al. proposed the sparse FRAME model, which is an inhomogeneous generalization of the original FRAME model, for the purpose of modeling object patterns, such as animal bodies, faces, etc. It is a non-stationary Markov random field model that reproduces the observed statistical properties of filter responses at a subset of selected locations, scales and orientations. The sparse FRAME model can be considered a deformable template.
The deep FRAME model is a deep generalization of the original FRAME model. Instead of using linear filters as in the original FRAME model, Lu et al. uses the filters at a certain convolutional layer of a pre-learned ConvNet. Instead of relying on the pre-trained filters from an existing ConvNet, Xie et al. parameterized the energy function of the FRAME model by a ConvNet structure and learn all parameters from scratch. The deep FRAME model is the first framework that integrates modern deep neural network from deep learning and Gibbs distribution from statistical physics. The deep FRAME models are further generalized to modeling video patterns, 3D volumetric shape patterns
References
Graphical models
|
https://en.wikipedia.org/wiki/Polynomial%20evaluation
|
In mathematics and computer science, polynomial evaluation refers to computation of the value of a polynomial when its indeterminates are substituted for some values. In other words, evaluating the polynomial at consists of computing See also
For evaluating the univariate polynomial the most naive method would use multiplications to compute , use multiplications to compute and so on for a total of multiplications and additions.
Using better methods, such as Horner's rule, this can be reduced to multiplications and additions. If some preprocessing is allowed, even more savings are possible.
Background
This problem arises frequently in practice. In computational geometry, polynomials are used to compute function approximations using Taylor polynomials. In cryptography and hash tables, polynomials are used to compute k-independent hashing.
In the former case, polynomials are evaluated using floating-point arithmetic, which is not exact. Thus different schemes for the evaluation will, in general, give slightly different answers. In the latter case, the polynomials are usually evaluated in a finite field, in which case the answers are always exact.
General methods
Horner's rule
Horner's method evaluates a polynomial using repeated bracketing:
This method reduces the number of multiplications and additions to just
Horner's method is so common that a computer instruction "multiply–accumulate operation" has been added to many computer processors, which allow doing the addition and multiplication operations in one combined step.
Multivariate
If the polynomial is multivariate, Horner's rule can be applied recursively over some ordering of the variables.
E.g.
can be written as
An efficient version of this approach was described by Carnicer and Gasca.
Estrin's scheme
While it's not possible to do less computation than Horner's rule (without preprocessing), on modern computers the order of evaluation can matter a lot for the computational efficiency.
A method known as Estrin's scheme computes a (single variate) polynomial in a tree like pattern:
Combined by Exponentiation by squaring, this allows parallelizing the computation.
Evaluation with preprocessing
Arbitrary polynomials can be evaluated with fewer
operations than Horner's rule requires if we first "preprocess"
the coefficients .
An example was first given by Motzkin who noted that
can be written as
where the values are computed in advanced, based on .
Motzkin's method uses just 3 multiplications compared to Horner's 4.
The values for each can be easily computed by expanding and equating the coefficients:
Example
To compute the Taylor expansion ,
we can upscale by a factor 24, apply the above steps, and scale back down.
That gives us the three multiplication computation
Improving over the equivalent Horner form (that is ) by 1 multiplication.
Some general methods include the Knuth–Eve algorithm and the Rabin–Winograd algorithm.
Multipoint evaluation
Ev
|
https://en.wikipedia.org/wiki/Sun%20Wenlong
|
Sun Wenlong (; born 21 February 1989) is a Chinese former footballer.
Career statistics
Club
References
1989 births
Living people
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football defenders
Singapore Premier League players
China League Two players
Dalian Shide F.C. players
Chinese expatriate sportspeople in Singapore
Expatriate men's footballers in Singapore
|
https://en.wikipedia.org/wiki/Zhang%20Depeng
|
Zhang Depeng (; born 9 October 1989) is a Chinese former footballer.
Career statistics
Club
References
1989 births
Living people
Chinese men's footballers
Chinese expatriate men's footballers
Men's association football midfielders
Singapore Premier League players
China League Two players
Dalian Shide F.C. players
Chinese expatriate sportspeople in Singapore
Expatriate men's footballers in Singapore
|
https://en.wikipedia.org/wiki/Kamel%20Chaaouane
|
Kamel Chaaouane (born 16 March 1984) is a French former footballer.
Career statistics
Club
Notes
References
1984 births
Living people
French men's footballers
French expatriate men's footballers
Men's association football forwards
Championnat National players
Singapore Premier League players
SC Toulon players
Hyères FC players
Expatriate men's footballers in Singapore
French expatriate sportspeople in Singapore
Étoile FC players
Footballers from Toulon
|
https://en.wikipedia.org/wiki/Jean-Charles%20Blanpin
|
Jean-Charles Blanpin (born 29 October 1989) is a French former footballer.
Career statistics
Club
Notes
References
1989 births
Living people
French men's footballers
French expatriate men's footballers
Men's association football midfielders
Singapore Premier League players
Expatriate men's footballers in Singapore
French expatriate sportspeople in Singapore
Étoile FC players
People from Nogent-sur-Marne
Footballers from Val-de-Marne
|
https://en.wikipedia.org/wiki/Anthony%20Moulin
|
Anthony Jean-Louis Moulin (born 4 January 1986) is a French footballer currently playing for Colombier.
Career statistics
Club
Notes
References
1986 births
Living people
People from Le Puy-en-Velay
Footballers from Haute-Loire
French men's footballers
French expatriate men's footballers
Men's association football defenders
Singapore Premier League players
Expatriate men's footballers in Singapore
French expatriate sportspeople in Singapore
Expatriate men's footballers in Switzerland
French expatriate sportspeople in Switzerland
Étoile FC players
|
https://en.wikipedia.org/wiki/Charlie%20Wilson%20%28Burnley%20footballer%29
|
Charles Wilson was a footballer who made one FA Cup appearance for Burnley as a wing half.
Personal life
Wilson served in the Royal Air Force during the Second World War.
Career statistics
References
Footballers from Hackney, London
Clapton Orient F.C. wartime guest players
Men's association football wing halves
Year of birth missing
Year of death missing
Place of birth missing
Place of death missing
Burnley F.C. players
Royal Air Force personnel of World War II
English men's footballers
Military personnel from London
|
https://en.wikipedia.org/wiki/Timothy%20Yeo%20%28footballer%29
|
Timothy David Yeo (born 19 October 2000) is a Singaporean footballer.
Career statistics
Club
Notes
References
Living people
2000 births
Singaporean men's footballers
Singaporean sportspeople of Chinese descent
Men's association football forwards
Singapore Premier League players
Hougang United FC players
|
https://en.wikipedia.org/wiki/Jill%20Britton
|
Jill E. Britton (6 November 1944 – 29 February 2016) was a Canadian mathematics educator known for her educational books about mathematics.
Career
Britton was born on 6 November 1944. She taught for many years, at Dawson College in Westmount, Quebec, moving in the late 1980s to Camosun College in Victoria, British Columbia. At Camosun, she taught mathematics mainly to young women aiming to become elementary school teachers. Her own teaching had the goal of changing these students' attitude about mathematics from fear to enthusiasm. She retired in 2015, and died on 29 February 2016.
Publications
Britton was the author of mathematics books including:
Introduction to Tessellations (with Dale Seymour, Dale Seymour Publications, 1989)
Tessellation Teaching Masters (with Dale Seymour, Dale Seymour Publications, 1989)
Teaching Tessellating Art: Activities and Transparency Masters (with Walter Britton, Dale Seymour Publications, 1992)
Explorations with Tesselmania! Activities for Math and Art Classrooms (Dale Seymour Publications, 1997)
Investigating Patterns: Symmetry and Tessellations (Dale Seymour Publications, 2000)
Polyhedra Pastimes (Dale Seymour Publications, 2001)
She was also known for her "spectacular web site on symmetry and tessellations".
Recognition
Britton was the 2008–2009 winner of the Teaching Excellence Award of the Association of Canadian Community Colleges.
References
External links
Archived home page
Britton's YouTube channel
1944 births
2016 deaths
Canadian mathematicians
Canadian women mathematicians
Mathematics educators
Academic staff of Dawson College
Academic staff of Camosun College
|
https://en.wikipedia.org/wiki/Bohuslav%20Divi%C5%A1
|
Bohuslav Diviš (December 20 1942 in Prague – July 26 1976 in Normal, Illinois, United States) was a Czech mathematician, who worked in the field of number theory.
Bohuslav Diviš won the Czechoslovak and International Mathematical Olympiad in 1959 and then studied mathematics at Charles University in Prague (as a student of Vojtěch Jarník). He wrote his thesis in 1966 and his doctorate in 1969 with a thesis on " superlattice points in multidimensional ellipsoids " at the Heidelberg University under Peter Roquette.
In 1970 Diviš became Assistant Professor at Ohio State University (USA), and after 1973 an Associate Professor.
During a conference visit to Illinois State University he died of heart failure at the age of 33.
He authored about 20 scientific articles.
Literature
B. Diviš: On the sums of continued fractions, Acta Arithmetica 22, 157–173, 1973
ders.: Lattice point theory of irrational ellipsoids with an arbitrary center, Monatsh. Math. 83, 279–307, 1977
ders.: Ω-estimates in lattice point theory, Acta Arithmetica 35, 247–258, 1979
F. Fricker: Einführung in die Gitterpunktlehre, Birkhäuser, 1982
References
Number theorists
1942 births
1976 deaths
Charles University alumni
|
https://en.wikipedia.org/wiki/Shinya%20Nakano%20%28footballer%29
|
is a Japanese footballer who plays as a left back for Gamba Osaka, on loan from Sagan Tosu.
Career statistics
Honours
Japan U16
AFC U-16 Championship: 2018
References
External links
2003 births
Living people
Japanese men's footballers
Japan men's youth international footballers
Men's association football defenders
Sagan Tosu players
Gamba Osaka players
J1 League players
|
https://en.wikipedia.org/wiki/Count%20sketch
|
Count sketch is a type of dimensionality reduction that is particularly efficient in statistics, machine learning and algorithms.
It was invented by Moses Charikar, Kevin Chen and Martin Farach-Colton in an effort to speed up the AMS Sketch by Alon, Matias and Szegedy for approximating the frequency moments of streams (these calculations require counting of the number of occurrences for the distinct elements of the stream).
The sketch is nearly identical to the Feature hashing algorithm by John Moody, but differs in its use of hash functions with low dependence, which makes it more practical.
In order to still have a high probability of success, the median trick is used to aggregate multiple count sketches, rather than the mean.
These properties allow use for explicit kernel methods, bilinear pooling in neural networks and is a cornerstone in many numerical linear algebra algorithms.
Intuitive explanation
The inventors of this data structure offer the following iterative explanation of its operation:
at the simplest level, the output of a single hash function mapping stream elements into {+1, -1} is feeding a single up/down counter . After a single pass over the data, the frequency of a stream element can be approximated, although extremely poorly, by the expected value ;
a straightforward way to improve the variance of the previous estimate is to use an array of different hash functions , each connected to its own counter . For each element , the still holds, so averaging across the range will tighten the approximation;
the previous construct still has a major deficiency: if a lower-frequency-but-still-important output element exhibits a hash collision with a high-frequency element, estimate can be significantly affected. Avoiding this requires reducing the frequency of collision counter updates between any two distinct elements. This is achieved by replacing each in the previous construct with an array of counters (making the counter set into a two-dimensional matrix ), with index of a particular counter to be incremented/decremented selected via another set of hash functions that map element into the range {1..}. Since , averaging across all values of will work.
Mathematical definition
1. For constants and (to be defined later) independently choose random hash functions
and such that
and
.
It is necessary that the hash families from which and are chosen be pairwise independent.
2. For each item in the stream, add to the th bucket of the th hash.
At the end of this process, one has sums where
To estimate the count of s one computes the following value:
The values are unbiased estimates of how many times has appeared in the stream.
The estimate has variance , where
is the length of the stream and is .
Furthermore, is guaranteed to never be more than off from the true value, with probability .
Vector formulation
Alternatively Count-Sketch can be seen as a linear mapping with a non-linear reconstruct
|
https://en.wikipedia.org/wiki/Fadhil%20Abdul-Majid
|
Fadhil Abdul-Majid Ridha (born 1 July 1935) is a former Iraqi football forward who played for Iraq in the 1957 Pan Arab Games. He scored a goal against Libya.
Career statistics
International goals
Scores and results list Iraq's goal tally first.
References
Iraqi men's footballers
Iraq men's international footballers
Men's association football forwards
1935 births
Living people
|
https://en.wikipedia.org/wiki/Axial%20flux%20motor
|
An axial flux motor (also known as an axial gap motor, or pancake motor) is a geometry of electric motor construction where the gap between the rotor and stator, and therefore the direction of magnetic flux between the two, is aligned parallel with the axis of rotation, rather than radially as with the concentric cylindrical geometry of the more common radial flux motor.
Characteristics
A motor can be built upon any flat structure, such as a PCB, by adding coils and a bearing.
The coil winding process and the process of joining the coil and core may be simpler.
Since the coils are flat, rectangular copper strips can more easily be used, simplifying high-current windings.
It is often possible to make the rotor significantly lighter.
Potentially shorter magnetic path length.
Most structural components are flat and can be produced without specialised casting or tooling.
Since the magnetic path through the windings is straight, grain-oriented electrical steel can be easily used, offering higher permeability and lower core losses.
The rotor is typically much wider, causing increased rotational inertia, and the higher centrifugal forces can reduce the maximum rotational speed.
Uneven flux distribution due to wedge-shaped segments.
The segments narrow towards the centre, leaving less room to arrange windings and connections.
Uses
Although this geometry has been used since the first electromagnetic motors were developed, its usage was rare until the widespread availability of strong permanent magnets and the development of brushless DC motors, which could better exploit this geometry's advantages.
Axial geometry can be applied to almost any operating principle (e.g. brushed DC, induction, stepper, reluctance) that can be used in a radial motor. Even within the same electrical operating principle, different application and design considerations can make one geometry more suitable than the other. Axial geometries allow some magnetic topologies that would not be practical in a radial geometry. Axial motors are typically shorter and wider than an equivalent radial motor.
Axial motors have been commonly used for low-power applications, especially in tightly integrated electronics since the motor can be built directly upon a printed circuit board (PCB), and can use PCB traces as the stator windings. High-power, brushless axial motors are more recent, but are beginning to see usage in some electric vehicles. One of the longest produced axial motors is the brushed DC Lynch motor, where the rotor is almost entirely composed of flat copper strips with small iron cores inserted, allowing power-dense operation.
The Rolls-Royce ACCEL, holder of the current world speed record for an electric aircraft, uses three axial flux motors.
References
Electric motors
|
https://en.wikipedia.org/wiki/Fat%20object
|
Fat object may refer to:
Fat object (geometry), a multi-dimensional geometrical object in mathematics
Fat object (binary), a fat binary type of file in computing
See also
Fat pointer
|
https://en.wikipedia.org/wiki/1953%E2%80%9354%20Rochdale%20A.F.C.%20season
|
The 1953–54 season saw Rochdale compete for their 26th season in the Football League Third Division North.
Statistics
|}
Final League Table
Competitions
Football League Third Division North
F.A. Cup
Lancashire Cup
References
Rochdale A.F.C. seasons
Rochdale
|
https://en.wikipedia.org/wiki/Oswaldo%20Lezama
|
José Oswaldo Lezama Serrano (born 1956)August 12,1956 in bucamaranga,colombia was
a Colombian mathematician who researches abstract algebra and specializes in noncommutative algebra. Lezama graduated from the UIS in 1978 with a B.Sc. in Mathematical Education and obtained a PhD in 1983 under the supervision of Zenon Ivanovich Borevich from the Saint Petersburg State University. Since 1985 Lezama was a full professor at the National University of Colombia; he retired in 2020.
Early life and education
Lezama was born in Bucaramanga, Colombia. He studied at the Industrial University of Santander obtaining in 1978 a B.Sc. in Mathematical Education with a Cum Laude mention. In 1976 Lezama received a scholarship to study in the Saint Petersburg State University as part of an agreement between the governments of Colombia and the USSR. His Ph.D. supervisor was Zenon Ivanovich Borevich and the work was titled ″The Group of the Invertible Elements of a Semiperfect Ring″. He obtained the title in 1983.
In 1984 he came back to Bucaramanga and started working as professor in the Industrial University of Santander. The next year he moved to Bogotá and since then has worked as full professor at the National University of Colombia. He held this position until 2020, year in which he retired. In 1993, Lezama received the TWAS Scholarship (Third World Academy of Sciences) as visitant professor in Trieste, Italy. That same year he also visited the University of Buenos Aires and the Instituto Argentino de Matemática under the financial support of CONICET and the second mentioned institute.
Career
Since his return to Colombia, Lezama has had a very active participation in the mathematical community, taking part in national and international events as attendant, speaker and organizer. Between 1986 and 1991 started a research seminar on rings, modules and categories. As a result, in 1994 he published with the mathematician Gilma de Villamarín a book called ″Anillos Módulos y Categorías″. Until 2002 he also hosted a seminar in commutative algebra, called SAC (″Seminario de Álgebra Conmutativa″, in Spanish).
With time his interest in noncommutative algebra grew until the mentioned seminar changed his name to SAC2 (″Seminario de Álgebra Constructiva″, in Spanish) and the research in such matter started. The first aboarded topics were noncommutative Gröbner basis and homological properties of noncommutative rings. In 2011, with his doctoral student Claudia Gallego, published for the first time the concept of skew PBW extension, which with time became his main topic of research.
In 2017 Lezama received the National Award of the Colombian Mathematical Society, being the most notorious recognition of the country in the area. In 2018 he received public attention when he published in several media an opinion article about the candidature of Sergio Fajardo to the presidency of Colombia.
In 2020, coinciding with his year of retirement of the National University of Colom
|
https://en.wikipedia.org/wiki/Kakeru%20Higuchi
|
is a Japanese footballer currently playing as a forward for Kōchi United SC .
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
Association football people from Kumamoto Prefecture
Japanese men's footballers
Men's association football forwards
J3 League players
Roasso Kumamoto players
|
https://en.wikipedia.org/wiki/Keita%20Yoshioka
|
is a Japanese footballer currently playing as a defender for Montedio Yamagata.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Sportspeople from Tokyo Metropolis
Association football people from Tokyo Metropolis
Niigata University of Health and Welfare alumni
Japanese men's footballers
Men's association football defenders
J3 League players
AC Nagano Parceiro players
|
https://en.wikipedia.org/wiki/Hayato%20Hasegawa
|
is a Japanese footballer currently playing as a midfielder for Kamatamare Sanuki.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Association football people from Kawasaki, Kanagawa
Hannan University alumni
Japanese men's footballers
Men's association football midfielders
J3 League players
Kawasaki Frontale players
Kamatamare Sanuki players
|
https://en.wikipedia.org/wiki/Naoya%20Seita
|
is a Japanese footballer currently playing as a midfielder for Fukushima United, on loan from Júbilo Iwata.
Career statistics
Club
.
Notes
References
External links
2001 births
Living people
Japanese men's footballers
Men's association football midfielders
J2 League players
J3 League players
Júbilo Iwata players
Fukushima United FC players
Association football people from Kanagawa Prefecture
|
https://en.wikipedia.org/wiki/Albert%20Khoshaba
|
Albert Khoshaba (born 1 July 1944) is a former Iraqi football forward who played for Iraq between 1967 and 1968. He played two matches and scored one goal.
Career statistics
International goals
Scores and results list Iraq's goal tally first.
References
Iraqi men's footballers
Iraq men's international footballers
Al-Shorta SC players
Men's association football forwards
Living people
1944 births
|
https://en.wikipedia.org/wiki/Kristoffer%20Strand%20%C3%98dven
|
Kristoffer Strand Ødven (born 10 February 2002) is a Norwegian footballer currently playing as a midfielder for Hødd on loan from Aalesunds FK.
Career statistics
Club
Notes
References
2002 births
Living people
Footballers from Ålesund
Norwegian men's footballers
Men's association football midfielders
Aalesunds FK players
IL Hødd players
Eliteserien players
Norwegian First Division players
Norwegian Second Division players
|
https://en.wikipedia.org/wiki/Mixed%20Hodge%20structure
|
In algebraic geometry, a mixed Hodge structure is an algebraic structure containing information about the cohomology of general algebraic varieties. It is a generalization of a Hodge structure, which is used to study smooth projective varieties.
In mixed Hodge theory, where the decomposition of a cohomology group may have subspaces of different weights, i.e. as a direct sum of Hodge structures
where each of the Hodge structures have weight . One of the early hints that such structures should exist comes from the long exact sequence of a pair of smooth projective varieties . The cohomology groups (for ) should have differing weights coming from both and .
Motivation
Originally, Hodge structures were introduced as a tool for keeping track of abstract Hodge decompositions on the cohomology groups of smooth projective algebraic varieties. These structures gave geometers new tools for studying algebraic curves, such as the Torelli theorem, Abelian varieties, and the cohomology of smooth projective varieties. One of the chief results for computing Hodge structures is an explicit decomposition of the cohomology groups of smooth hypersurfaces using the relation between the Jacobian ideal and the Hodge decomposition of a smooth projective hypersurface through Griffith's residue theorem. Porting this language to smooth non-projective varieties and singular varieties requires the concept of mixed Hodge structures.
Definition
A mixed Hodge structure (MHS) is a triple such that
is a -module of finite type
is an increasing -filtration on ,
is a decreasing -filtration on ,
where the induced filtration of on the graded piecesare pure Hodge structures of weight .
Remark on filtrations
Note that similar to Hodge structures, mixed Hodge structures use a filtration instead of a direct sum decomposition since the cohomology groups with anti-holomorphic terms, where , don't vary holomorphically. But, the filtrations can vary holomorphically, giving a better defined structure.
Morphisms of mixed Hodge structures
Morphisms of mixed Hodge structures are defined by maps of abelian groupssuch thatand the induced map of -vector spaces has the property
Further definitions and properties
Hodge numbers
The Hodge numbers of a MHS are defined as the dimensionssince is a weight Hodge structure, andis the -component of a weight Hodge structure.
Homological properties
There is an Abelian category of mixed Hodge structures which has vanishing -groups whenever the cohomological degree is greater than : that is, given mixed hodge structures the groupsfor pg 83.
Mixed Hodge structures on bi-filtered complexes
Many mixed Hodge structures can be constructed from a bifiltered complex. This includes complements of smooth varieties defined by the complement of a normal crossing variety. Given a complex of sheaves of abelian groups and filtrations of the complex, meaningThere is an induced mixed Hodge structure on the hyperhomology groupsfrom the bi-fil
|
https://en.wikipedia.org/wiki/List%20of%20Al%20Ahly%20SC%20records%20and%20statistics
|
Al Ahly Football Club (), commonly referred to as Al Ahly, is an Egyptian professional football club based in Cairo,
It is known as "The Club of the Century" in African football. It is best known for its professional football team that plays in the Egyptian Premier League, the top tier in the Egyptian football league system, and is the most decorated football club in Africa. It was founded on 24 April 1907, as a gathering place for Cairo's Student Unions.
Al Ahly has a record of 43 national league titles, 38 national cup titles, and 11 national super cup titles, making them the most decorated club in Egypt. In addition, Al Ahly has never been relegated to the Egyptian Second Division.
In international competitions, the club has won a record ten CAF Champions League titles, a CAF Confederation Cup, a record Seven CAF Super Cups, a record four African Cup Winners' Cups, an Afro-Asian Club Championship, an Arab Club Champions Cup, an Arab Cup Winners' Cup, a record two Arab Super Cups, and won a bronze medal in the 2006, 2020 and 2021 Club World Cup.
Honours
Al Ahly winning the 2022 Egypt Cup raised the club's trophy count to 149, making them the most decorated club in the world. This includes 24 continental titles. Al Ahly won the African Cup of Champions Clubs in 1982 and 1987. Following the tournament's rebranding as the CAF Champions League, Al Ahly triumphed again in 2001, 2005, 2006 and 2008 under the coaching of the Portuguese Manuel José, in 2012 under Hossam El-Badry, in 2013 under Mohamed Youssef, and in 2020 and 2021 under Pitso Mosimane. This makes them the most decorated team in continental competitions in Africa with ten Champions League titles, as well as one CAF Confederation Cup, four African Cup Winners' Cups, eight CAF Super Cups and one Afro-Asian Club Championship.
At local level, Al Ahly has won more titles than any other club, with 4 Egyptian Premier League titles, 38 Egypt Cups, 13 Egyptian Super Cups, 7 Sultan Hussein Cups and 17 Cairo League titles, along with winning the cup of the United Arab Republic on one occasion and the Egyptian Confederation Cup once as well.
Domestic (120 titles)
Africa (24 titles)
Worldwide (5 titles)
shared record
Awards & recognitions
CAF Club of the 20th Century: 2001
Globe soccer Top Titles Winners in the Middle East: 2020
All-time statistics
All stats correct as of 26 December 2021.
Players records
Youngest first-team player: Ramadan Sobhi – (against Ghazl El Mahalla SC, 2013–14 Egyptian Premier League, 6 February 2014)
Most appearances
Competitive, professional matches only. Goals (in parentheses) included in total.
Top goalscorers
All Competitions
League
Africa
Individual honours
Player of the season
Players' individual honours and awards while playing with Al Ahly
African Footballer of the Year:
Mahmoud El Khatib (1): 1983
EFA Egyptian Player of the Year:
Mohamed Aboutrika (4): 2005, 2006, 2007, 2008
Egyptian Premier League top scorer:
El-Dhizui (1): 1958–5
|
https://en.wikipedia.org/wiki/Peter%20Galambo%C5%A1
|
Peter Galamboš (born 14 June 1989) is a Slovak professional ice hockey player who currently playing for Vlci Žilina of the Slovak 1. Liga.
Career statistics
Regular season and playoffs
References
External links
Living people
Slovak ice hockey forwards
1989 births
MHC Martin players
HC Bílí Tygři Liberec players
HC Benátky nad Jizerou players
HC '05 Banská Bystrica players
Motor České Budějovice players
HC Košice players
HK Dukla Michalovce players
MsHK Žilina players
Ice hockey people from Martin, Slovakia
Slovak expatriate ice hockey players in the Czech Republic
|
https://en.wikipedia.org/wiki/Religion%20in%20Oman
|
Even though the government of Oman does not keep statistics on religious affiliation, statistics from the CIA World Factbook state that adherents of Islam are in the majority at 95%, with Christianity, Hinduism, Buddhism, and Judaism less than 5%. Other religious affiliations have a proportion of 1% and the unaffiliated only 0.2%.
Islam
In 2023, most Omani Muslims are followers of Sunni Islam, and the second largest being the Ibadi branch. In 2023, an estimated 47% of Omani citizens are Sunni and 35% are Ibadi Muslims. Only 6% are Shias and the rest are of other faiths such as Hinduism or Christianity.
Other religions
Virtually all non-Muslims in Oman are foreign workers.
Oman has communities of ethnic Indian Hindus. Muscat has two Hindu temples. One of them is over a hundred years old. There is a significant Sikh community in Oman. Though there are no permanent gurdwaras, many smaller ones in makeshift camps exist and are recognised by the government. The Government of India had signed an accord in 2008 with the Omani government to build a permanent gurdwara but as of now, little progress has been made.
Christian communities are centered in the major urban areas of Muscat, Sohar and Salalah. These include Catholic, Eastern Orthodox and various Protestant congregations, organizing along linguistic and ethnic lines. More than 50 different Christian groups, fellowships and assemblies are active in the Muscat metropolitan area, formed by migrant workers from Southeast Asia.
There is also a small Jewish community in Oman. Jainism, Buddhism and Zoroastrianism are also practiced in the country.
Freedom of religion
In 2023, the country was scored 2 out of 4 for religious freedom.
In the same year, it was ranked as the 47th worst place in the world to be a Christian.
See also
Demographics of Oman
Freedom of religion in Oman
Islam in Oman
Hinduism in Oman
Christianity in Oman
History of the Jews in Oman
References
External links
Religion in Oman
|
https://en.wikipedia.org/wiki/Samit%20Dasgupta
|
Samit Dasgupta is a professor of mathematics at Duke University working in algebraic number theory.
Biography
Dasgupta graduated from Montgomery Blair High School in 1995 and placed fourth in the 1995 Westinghouse Science Talent Search with a project on Schinzel's hypothesis H. He then attended Harvard University, where he received a bachelor's degree in 1999. In 2004, Dasgupta received a PhD in mathematics from University of California, Berkeley under the supervision of Ken Ribet and Henri Darmon.
Dasgupta was previously a faculty member at University of California, Santa Cruz. As of 2020, he is a professor of mathematics at Duke University.
Research
Dasgupta's research is focused on special values of L-functions, algebraic points on abelian varieties, and units in number fields. In particular, Dasgupta's research has focused on the Stark conjectures and Heegner points.
Awards
In 2009, Dasgupta received a Sloan Research Fellowship. He was named a Fellow of the American Mathematical Society, in the 2022 class of fellows, "for contributions to number theory, in particular the theory of special values of classical and p-adic L-functions".
Selected publications
References
External links
20th-century American mathematicians
21st-century American mathematicians
Number theorists
Living people
Date of birth missing (living people)
Place of birth missing (living people)
Duke University faculty
Harvard University alumni
University of California, Berkeley alumni
University of California, Santa Cruz faculty
Year of birth missing (living people)
Fellows of the American Mathematical Society
|
https://en.wikipedia.org/wiki/Alexandru%20Caia
|
Alexandru Simi Caia (born 10 April 2003) is a Romanian professional footballer who plays as a forward for Voința Lupac.
Career statistics
Club
References
2003 births
Living people
Sportspeople from Botoșani
Romanian men's footballers
Men's association football forwards
Liga I players
Liga III players
FC Botoșani players
21st-century Romanian people
|
https://en.wikipedia.org/wiki/Vitapi%20Ngaruka
|
Vitapi Punyu Ngaruka (born 16 October 1995) is a Namibian footballer who plays as a defender for Black Africa and the Namibia national football team.
Career statistics
International
International goals
As of 4 August 2020. Namibia score listed first, score column indicates score after each Ngaruka goal.
References
1995 births
Living people
Namibian men's footballers
Namibia men's international footballers
Men's association football defenders
United Stars F.C. players
Black Africa S.C. players
People from Omaheke Region
Namibia men's A' international footballers
2018 African Nations Championship players
2020 African Nations Championship players
|
https://en.wikipedia.org/wiki/Nicolas%20%28footballer%2C%20born%202000%29
|
Nicolas Nunes Ferri (born 23 September 2000), commonly known as Nicolas, is a Brazilian footballer who currently plays as a midfielder for Novo Hamburgo.
Career statistics
Club
Notes
References
2000 births
Living people
Brazilian men's footballers
Men's association football midfielders
Esporte Clube Novo Hamburgo players
|
https://en.wikipedia.org/wiki/Willian%20%28footballer%2C%20born%202002%29
|
Willian Eduardo Rosa Mateus (born 11 March 2002), commonly known as Willian, is a Brazilian footballer who currently plays as a forward for Caxias.
Career statistics
Club
Notes
References
2002 births
Living people
Brazilian men's footballers
Men's association football forwards
Sociedade Esportiva e Recreativa Caxias do Sul players
|
https://en.wikipedia.org/wiki/Aldair%20%28footballer%2C%20born%201996%29
|
Aldair Ribeiro de Souza (born 5 May 1996), commonly known as Aldair, is a Brazilian footballer who currently plays as a forward for PSTC, on loan from Francisco Ferro Sports.
Career statistics
Club
Notes
References
1996 births
Living people
Brazilian men's footballers
Men's association football forwards
Paraná Soccer Technical Center players
|
https://en.wikipedia.org/wiki/Rodrigo%20%28footballer%2C%20born%201999%29
|
Rodrigo Guimarães Santos (born 6 April 1999), commonly known as Rodrigo, is a Brazilian footballer who currently plays as a midfielder for PSTC.
Career statistics
Club
Notes
References
1999 births
Living people
Brazilian men's footballers
Men's association football midfielders
Paraná Soccer Technical Center players
União Esporte Clube players
|
https://en.wikipedia.org/wiki/Wilsinho%20%28footballer%2C%20born%201999%29
|
Wilson de Paula Cavalheiro Filho (born 20 January 1999), commonly known as Wilsinho, is a Brazilian footballer who currently plays as a forward for Rio Branco-PR.
Career statistics
Club
Notes
References
1999 births
Living people
Brazilian men's footballers
Men's association football forwards
Paraná Clube players
Clube Esportivo União players
Sociedade Esportiva, Recreativa e Cultural Guarani players
Associação Atlética Iguaçu players
Rio Branco Sport Club players
Footballers from Curitiba
|
https://en.wikipedia.org/wiki/Alem%C3%A3o%20%28footballer%2C%20born%202002%29
|
Matheus Diogo Desevinka de Oliveira (born 10 June 2002), commonly known as Alemão, is a Brazilian footballer who currently plays as a forward for Operário Ferroviário.
Career statistics
Club
Notes
References
2002 births
Living people
Brazilian men's footballers
Men's association football forwards
Operário Ferroviário Esporte Clube players
|
https://en.wikipedia.org/wiki/Pedro%20M%C3%BCller
|
Pedro Henrique Müller Zin (born 12 April 2002), commonly known as Pedro Müller, is a Brazilian footballer who currently plays as a forward for Rio Branco-PR.
Career statistics
Club
Notes
References
2002 births
Living people
Brazilian men's footballers
Men's association football defenders
Rio Branco Sport Club players
|
https://en.wikipedia.org/wiki/Geovane%20%28footballer%2C%20born%201998%29
|
Geovane Nascimento Silva (born 15 June 1998), simply known as Geovane, is a Brazilian footballer who plays as a midfielder for Inter de Limeira.
Career statistics
References
External links
1998 births
Living people
Footballers from Bahia
Brazilian men's footballers
Men's association football midfielders
Campeonato Brasileiro Série A players
Campeonato Brasileiro Série B players
São Paulo FC players
América Futebol Clube (MG) players
Associação Atlética Internacional (Limeira) players
Campeonato de Portugal (league) players
Louletano D.C. players
Brazil men's youth international footballers
Brazilian expatriate men's footballers
Brazilian expatriate sportspeople in Portugal
Expatriate men's footballers in Portugal
People from Jacobina
|
https://en.wikipedia.org/wiki/Charles%20Hambira
|
Vetunuavi Charles Hambira (born 3 June 1990) is a Namibian footballer who plays as a centre-back for National First Division side TS Sporting and the Namibia national football team.
Career statistics
International
International goals
As of 4 August 2020. Namibia score listed first, score column indicates score after each Hambira goal.
References
1990 births
Living people
Footballers from Windhoek
Namibia men's international footballers
Men's association football central defenders
Black Africa S.C. players
TS Sporting F.C. players
National First Division players
Ongos Valley FC players
Namibia men's A' international footballers
2018 African Nations Championship players
Namibian expatriate men's footballers
Namibian expatriate sportspeople in South Africa
Expatriate men's soccer players in South Africa
2020 African Nations Championship players
Namibian men's footballers
|
https://en.wikipedia.org/wiki/Graph%20Theory%2C%201736%E2%80%931936
|
Graph Theory, 1736–1936 is a book in the history of mathematics on graph theory. It focuses on the foundational documents of the field, beginning with the 1736 paper of Leonhard Euler on the Seven Bridges of Königsberg and ending with the first textbook on the subject, published in 1936 by Dénes Kőnig. Graph Theory, 1736–1936 was edited by Norman L. Biggs, E. Keith Lloyd, and Robin J. Wilson, and published in 1976 by the Clarendon Press. The Oxford University Press published a paperback second edition in 1986, with a corrected reprint in 1998.
Topics
Graph Theory, 1736–1936 contains copies, extracts, and translations of 37 original sources in graph theory, grouped into ten chapters and punctuated by commentary on their meaning and context. It begins with Euler's 1736 paper "Solutio problematis ad geometriam situs pertinentis" on the seven bridges of Königsberg (both in the original Latin and in English translation) and ending with Dénes Kőnig's book Theorie der endlichen und unendlichen Graphen. The source material touches on recreational mathematics, chemical graph theory, the analysis of electrical circuits, and applications of graph theory in abstract algebra. Also included are background material and portraits on the mathematicians who originally developed this material.
The chapters of the book organize the material into topics within graph theory, rather than being strictly chronological. The first chapter, on paths, includes maze-solving algorithms as well as Euler's work on Euler tours. Next, a chapter on circuits includes material on knight's tours in chess (a topic that long predates Euler), Hamiltonian cycles, and the work of Thomas Kirkman on polyhedral graphs. Next follow chapters on spanning trees and Cayley's formula, chemical graph theory and graph enumeration, and planar graphs, Kuratowski's theorem, and Euler's polyhedral formula. There are three chapters on the four color theorem and graph coloring, a chapter on algebraic graph theory, and a final chapter on graph factorization. Appendices provide a brief update on graph history since 1936, biographies of the authors of the works included in the book, and a comprehensive bibliography.
Audience and reception
Reviewer Ján Plesník names the book the first ever published on the history of graph theory, and although Hazel Perfect notes that parts of it can be difficult to read, Plesník states that it can also be used as "a self-contained introduction" to the field, and Edward Maziarz suggests its use as a textbook for graph theory courses. Perfect calls the book "fascinating ... full of information", thoroughly researched and carefully written, and Maziarz finds inspiring the ways in which it describes serious mathematics as arising from frivolous starting points. Fernando Q. Gouvêa calls it a "must-have" for anyone interested in graph theory, and Philip Peak also recommends it to anyone interested more generally in the history of mathematics.
References
Graph theory
Books abou
|
https://en.wikipedia.org/wiki/Hikaru%20Naruoka
|
is a Japanese footballer who plays as a midfielder for J2 League club, Renofa Yamaguchi, on loan from Shimizu S-Pulse.
Career statistics
Honours
Japan U16
AFC U-16 Championship: 2018
References
External links
2002 births
Living people
Sportspeople from Shizuoka Prefecture
Japanese men's footballers
Japan men's youth international footballers
Men's association football midfielders
Shimizu S-Pulse players
SC Sagamihara players
J1 League players
J2 League players
Association football people from Shizuoka (city)
|
https://en.wikipedia.org/wiki/Hidetoshi%20Takeda
|
is a Japanese footballer who plays as a winger for J2 League club Mito Hollyhock, on loan from Urawa Red Diamonds.
Career statistics
Club
.
References
External links
2001 births
Living people
Sportspeople from Sendai
Association football people from Miyagi Prefecture
Japanese men's footballers
Japan men's youth international footballers
Men's association football midfielders
J1 League players
J2 League players
Urawa Red Diamonds players
FC Ryukyu players
Oita Trinita players
Mito HollyHock players
|
https://en.wikipedia.org/wiki/Ayumu%20Ohata
|
is a Japanese professional footballer who plays as a left back for J1 League club Urawa Red Diamonds.
Career statistics
Club
.
Honours
Club
Urawa Red Diamonds
AFC Champions League: 2022
References
External links
Profile at Urawa Red Diamomds
2001 births
Living people
Japanese men's footballers
Men's association football defenders
J1 League players
Sagan Tosu players
Urawa Red Diamonds players
Sportspeople from Fukuoka Prefecture
|
https://en.wikipedia.org/wiki/Ryunosuke%20Sagara
|
is a Japanese footballer currently playing as a winger for Vegalta Sendai.
Career statistics
Club
.
Notes
References
External links
2002 births
Living people
Japanese men's footballers
Men's association football midfielders
Sagan Tosu players
|
https://en.wikipedia.org/wiki/Kento%20Haneda
|
is a Japanese footballer currently playing as a defender for Oita Trinita.
Career statistics
Club
.
Notes
References
External links
1997 births
Living people
Association football people from Osaka Prefecture
Kansai University alumni
Japanese men's footballers
Men's association football defenders
J1 League players
Oita Trinita players
|
https://en.wikipedia.org/wiki/Zolotarev%20polynomials
|
In mathematics, Zolotarev polynomials are polynomials used in approximation theory. They are sometimes used as an alternative to the Chebyshev polynomials where accuracy of approximation near the origin is of less importance. Zolotarev polynomials differ from the Chebyshev polynomials in that two of the coefficients are fixed in advance rather than allowed to take on any value. The Chebyshev polynomials of the first kind are a special case of Zolotarev polynomials. These polynomials were introduced by Russian mathematician Yegor Ivanovich Zolotarev in 1868.
Definition and properties
Zolotarev polynomials of degree in are of the form
where is a prescribed value for and the are otherwise chosen such that the deviation of from zero is minimum in the interval .
A subset of Zolotarev polynomials can be expressed in terms of Chebyshev polynomials of the first kind, . For
then
For values of greater than the maximum of this range, Zolotarev polynomials can be expressed in terms of elliptic functions. For , the Zolotarev polynomial is identical to the equivalent Chebyshev polynomial. For negative values of , the polynomial can be found from the polynomial of the positive value,
The Zolotarev polynomial can be expanded into a sum of Chebyshev polynomials using the relationship
In terms of Jacobi elliptic functions
The original solution to the approximation problem given by Zolotarev was in terms of Jacobi elliptic functions. Zolotarev gave the general solution where the number of zeroes to the left of the peak value () in the interval is not equal to the number of zeroes to the right of this peak (). The degree of the polynomial is . For many applications, is used and then only need be considered. The general Zolotarev polynomials are defined as
where
is the Jacobi eta function
is the incomplete elliptic integral of the first kind
is the quarter-wave complete elliptic integral of the first kind. That is,
is the Jacobi elliptic modulus
is the Jacobi elliptic sine.
The variation of the function within the interval [−1,1] is equiripple except for one peak which is larger than the rest. The position and width of this peak can be set independently. The position of the peak is given by
where
is the Jacobi elliptic cosine
is the Jacobi delta amplitude
is the Jacobi zeta function
is as defined above.
The height of the peak is given by
where
is the incomplete elliptic integral of the third kind
is the position on the left limb of the peak which is the same height as the equiripple peaks.
Jacobi eta function
The Jacobi eta function can be defined in terms of a Jacobi auxiliary theta function,
where,
Applications
The polynomials were introduced by Yegor Ivanovich Zolotarev in 1868 as a means of uniformly approximating polynomials of degree on the interval [−1,1]. Pafnuty Chebyshev had shown in 1858 that could be approximated in this interval with a polynomial of degree at most with an error
|
https://en.wikipedia.org/wiki/Colin%20Hannaford
|
Colin William Barter Hannaford was a British mathematics educator, author, and advocate for education reform.
Early life, education, and career
Hannaford was born in 1943 in Plymouth, England during a bombing raid. He joined the British Army at the age of 17, where he earned a degree in mechanical engineering in 1967.
At the age of 29, Hannaford was involuntarily committed to an army psychiatric hospital. Hannaford claims the incident was politically motivated, in response to his criticism of British policy in Ireland. After three weeks, he was found sane and released.
After retiring from the army, Hannaford trained as a mathematics teacher at the University of Cambridge from 1975 to 1976. In 1976, he began teaching mathematics at Magdalen College School in Oxford, England. He then became the head of mathematics at the European School in Culham, where he taught for several decades, until 2004.
Education reform
Based on his experience as a mathematics teacher, Hannaford has advocated for a major shift in mathematics education to focus on critical thinking instead of memorization. He has described his teaching philosophy as an application of the Socratic method to the classroom.
In 2009, Hannaford hosted a conference for the Qatar Foundation at Windsor Castle called Giving Peace a Voice, which aimed to show that children and students can practice critical and receptive discourse in mathematics lessons.
In 2014, Hannaford published his book Educating Messiahs, a collection of essays that he had previously shared with former students on Facebook, in which he expresses his hopes to teach students to think critically and learn to respectfully debate and disagree with one another.
In 2018, Hannaford published a booklet from the point of view of his dog, Amadeus, which gained the support of Blackwell's in Oxford, who provided free copies for children. In this booklet, he outlines his wish for students to no longer be categorised by perceived academic success.
Books
473959 (2007),
Educating Messiahs (2014),
Amadeus Teaches: Learning Together, Staying Strong (2018),
APE BRAINS TO COSMIC MINDS: the painful evolution of humankind (2018),
God is Evolution: Harvest of Souls (2019),
A TIDAL WAVE OF HUMAN CONSCIOUSNESS: To Stop Wars (2021),
Awards and honours
Hannaford was nominated for the Canadian Parliament Peace Prize in 1998, and won the Upton Sinclair Award for Educational Innovation in 2008.
Hannaford received the Chadwick Prize for best essay by the Oxford Philosophical Society in 1996 for a paper titled "A THESIS: That the Development of a Rational, Innovative Society, Internally Harmonious and Tolerant of Dissent, Depends on Understanding the Original Connection between Mathematics and Democracy".
References
British writers
Education reform
Royal Electrical and Mechanical Engineers officers
British philosophers
British educators
Writers about England
Mathematics educators
|
https://en.wikipedia.org/wiki/Norbert%20Schappacher
|
Norbert Schappacher (born 8 October 1950 in Essen) is a German mathematician and historian of mathematics. He was an Invited Speaker at the International Congress of Mathematicians in 2010 in Hyderabad.
Education and career
After secondary education at Essen's Burggymnasium, Schappacher studied from 1969 to 1971 at the University of Bonn, where he was taught by (among others) Günter Harder and Friedrich Hirzebruch. Schappacher obtained his Vordiplom in 1971 at the University of Göttingen, where he studied from 1971 to 1974 and was taught by (among others) Hans Grauert, Ulrich Stuhler, and Martin Kneser. For the academic year 1974–1975, Schappacher studied as an exchange student at the University of California, Berkeley, where his teachers included Tsit Yuen Lam and Robin Hartshorne. At the University of Göttingen, Schappacher received his Diplom in 1975 and from 1977 to 1986 held the position of assistant at the Göttingen Mathematical Institute. There in 1978 he received his doctorate with advisor Martin Kneser and thesis Eine diophantische Invariante von Singularitäten über nichtarchimedischen Körpern (A diophantine invariant of singularities over non-Archimedean fields).
He was from 1979 to 1981 at Paris-Sud University (University of Paris XI) in Orsay with John H. Coates and for the academic year 1983–1984 at the Max-Planck-Institut für Mathematik (MPI) in Bonn with Günter Harder. Schappacher in 1985 was an assistant professor (Professeur associé) at Paris-Sud University and habilitated in 1986 at the University of Göttingen with thesis Periods of Hecke operators. He was in 1986 at the Mathematical Sciences Research Institute (MSRI) in Berkeley, then worked in 1987 as an assistant professor in Orsay and was from 1987 to 1991 a Heisenberg fellow at the MPI in Bonn. He was at the Institute for Advanced Study for five months in 1990.
Schappacher is since 1991 a professor at the University of Strasbourg. From 2002 to 2004 he was a visiting professor at TU Darmstadt and returned in 2004 to the University of Strasbourg. He has held visiting positions at several academic institutions, including the Isaac Newton Institute (for 2 months in 1997), Mumbai's Tata Institute of Fundamental Research (for 2 months in 2000–2001), and the Akademie der Wissenschaften zu Göttingen (as Gauss-Professor in summer 2007). In 2011–2012 he was a Fellow of Lichtenberg-Kolleg, Göttingen.
Schappacher's research is primarily on number theory, arithmetic geometry, and the history of mathematics. He has done research on the history of mathematics in Germany during the era of National Socialism (including Edmund Landau, Oswald Teichmüller and the Mathematical Institute in Göttingen), as well as historical research on Kurt Heegner, Bartel Leendert van der Waerden, Diophantus of Alexandria, and Leonhard Euler. Since 2008 Schappacher is a member of the Euler Committee of the Swiss Academy of Sciences. He was from 2009 to 2016 editor-in-chief of the Revue d'histoire des mathém
|
https://en.wikipedia.org/wiki/Alencar%20%28footballer%2C%20born%202002%29
|
Rodrigo Souza Santos (born 7 August 2002), commonly known as Alencar, is a Brazilian footballer who currently plays as a forward for Flamengo, on loan from Retrô.
Career statistics
Club
Notes
References
2002 births
Living people
Brazilian men's footballers
Men's association football forwards
Retrô Futebol Clube Brasil players
CR Flamengo footballers
|
https://en.wikipedia.org/wiki/Christiano%20%28footballer%29
|
Christiano Victor das Neves Silva Felix (born 3 May 2000), commonly known as Christiano, is a Brazilian footballer who currently plays as a midfielder for Náutico.
Career statistics
Club
Notes
References
2000 births
Living people
Brazilian men's footballers
Men's association football midfielders
Clube Náutico Capibaribe players
Retrô Futebol Clube Brasil players
|
https://en.wikipedia.org/wiki/Haitham%20Asiri
|
Haitham Mohammed Ali Abu Hawi Asiri (; born 25 March 2001) is a Saudi Arabian professional footballer who plays as a winger for Al-Ahli and the Saudi Arabia national team.
Career statistics
Club
Notes
International
Scores and results list Saudi Arabia's goal tally first.
Honours
Saudi Arabia U-23
AFC U-23 Asian Cup: 2022
References
External links
2001 births
Living people
People from 'Asir Province
Saudi Arabian men's footballers
Saudi Arabia men's youth international footballers
Saudi Arabia men's international footballers
Men's association football wingers
Saudi Pro League players
Saudi First Division League players
Al-Ahli Saudi FC players
2022 FIFA World Cup players
Footballers at the 2022 Asian Games
|
https://en.wikipedia.org/wiki/Loran%20%28footballer%29
|
Loran Romualdo dos Santos da Silva (born 20 July 1998), commonly known as Loran, is a Brazilian footballer who currently plays as a forward for Retrô.
Career statistics
Club
Notes
References
1998 births
Living people
Brazilian men's footballers
Men's association football forwards
Bangu Atlético Clube players
Fluminense FC players
Botafogo de Futebol e Regatas players
Associação Atlética Anapolina players
Duque de Caxias Futebol Clube players
Grêmio Esportivo Bagé players
Retrô Futebol Clube Brasil players
Footballers from Rio de Janeiro (city)
|
https://en.wikipedia.org/wiki/Marcinho%20%28footballer%2C%20born%201998%29
|
Marcio Camillato Martinelli (born 8 June 1998), commonly known as Marcinho, is a Brazilian footballer who currently plays as a forward for Desportiva Ferroviária.
Career statistics
Club
Notes
References
1998 births
Living people
Brazilian men's footballers
Men's association football forwards
Espírito Santo Futebol Clube players
Grêmio Foot-Ball Porto Alegrense players
Vitória Futebol Clube (ES) players
Associação Desportiva Ferroviária Vale do Rio Doce players
Retrô Futebol Clube Brasil players
|
https://en.wikipedia.org/wiki/Charles%20Barbosa
|
Jose Charles Pereira Barbosa (born 10 December 1997), commonly known as Charles Barbosa, is a Brazilian footballer who currently plays as a forward for Retrô.
Career statistics
Club
Notes
References
1997 births
Living people
Brazilian men's footballers
Men's association football forwards
Belo Jardim Futebol Clube players
Retrô Futebol Clube Brasil players
Vera Cruz Futebol Clube players
|
https://en.wikipedia.org/wiki/Zyad%20Farag
|
Zyad Farag (born 8 February 2002) is an Egyptian professional footballer who plays as a attacking midfielder for Al Masry.
Career statistics
Club
Notes
References
2002 births
Living people
Egyptian men's footballers
Men's association football midfielders
Al Masry SC players
Egyptian Premier League players
|
https://en.wikipedia.org/wiki/Ruan%20%28footballer%2C%20born%201998%29
|
Ruan Vinicius Silva de Jesus (born 21 October 1998), commonly known as Ruan, is a Brazilian footballer who currently plays as a defender for Vera Cruz-PE, on loan from Retrô.
Career statistics
Club
Notes
References
1998 births
Living people
Brazilian men's footballers
Men's association football defenders
Clube Náutico Capibaribe players
Associação Chapecoense de Futebol players
Lemense Futebol Clube players
Retrô Futebol Clube Brasil players
Vera Cruz Futebol Clube players
Footballers from Bahia
|
https://en.wikipedia.org/wiki/Espeto%20%28footballer%2C%20born%20November%201997%29
|
Genilson dos Santos Júnior (born 12 November 1997), commonly known as Espeto, is a Brazilian footballer who currently plays as a defender for Ipojuca.
Career statistics
Club
Notes
References
1997 births
Living people
Brazilian men's footballers
Men's association football defenders
Esporte Clube Aracruz players
Linhares Futebol Clube players
Retrô Futebol Clube Brasil players
People from Linhares
|
https://en.wikipedia.org/wiki/Gustavo%20%28footballer%2C%20born%201997%29
|
Gustavo Henrique Correia Pereira (born 11 January 1997), commonly known as Gustavo, is a Brazilian footballer who currently plays as a defender for Vera Cruz-PE, on loan from Retrô.
Career statistics
Club
Notes
References
1997 births
Living people
Brazilian men's footballers
Men's association football defenders
Belo Jardim Futebol Clube players
Vera Cruz Futebol Clube players
Retrô Futebol Clube Brasil players
|
https://en.wikipedia.org/wiki/2019%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201500%20m
|
The men's 1500 meter at the 2019 KNSB Dutch Single Distance Championships in Heerenveen took place at the Thialf ice skating rink on Saturday 29 December 2018. There were 20 participants.
Statistics
Result
Source:
Referee: D. Melis Starter: J. Rosing
Start: 14:31 hr. Finish: 16:03 hr.
Draw
References
Single Distance Championships
2019 Single Distance
|
https://en.wikipedia.org/wiki/2020%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201500%20m
|
The men's 1500 meter at the 2020 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Saturday 28 December 2019. There were 20 participants.
Statistics
Result
Source:
Draw
References
Single Distance Championships
2020 Single Distance
|
https://en.wikipedia.org/wiki/2020%E2%80%9321%20PFC%20Levski%20Sofia%20season
|
The 2020–21 season was Levski Sofia's 100th season in the First League. This article shows player statistics and all matches (official and friendly) that the club has played during the season.
It is considered the worst season in the club's history. Levski finished on an all-time low 8th place, breaking a number of negative records. For the first time, the club finished a season with more losses than wins.
Transfers
In
Total spending: 50 000 €
Out
Total income: +425 000 €
Net income: +375 000 €
Loans out
Squad
Updated on 6 May 2021.
Performance overview
Fixtures
Friendlies
Summer
Mid-season
Winter
Parva Liga
Preliminary stage
League table
Results summary
Results by round
Matches
Europa Conference League stage
League table
Results summary
Results by round
Matches
Bulgarian Cup
Squad statistics
|-
|colspan="14"|Players away from the club on loan:
|-
|colspan="14"|Players who left the club during the season:
|}
References
PFC Levski Sofia seasons
Levski Sofia
|
https://en.wikipedia.org/wiki/Paris-Saclay%20Faculty%20of%20Sciences
|
The Paris-Saclay Faculty of Sciences or Orsay Faculty of Sciences, in French : Faculté des sciences d'Orsay, is the mathematics and physics school within Paris-Saclay University, founded in 1956. It offers undergraduate and graduate degrees in mathematics, physics and chemistry (though its undergraduates are officially enrolled in Paris-Saclay Undergraduate School).
Previously the Paris-Sud Faculty of Sciences, the School assumed its current structure in 2019. Christine Paulin-Mohring has been the School's dean since 2016.
Recent investments as part of the Paris-Saclay cluster have enlarged the School's faculty and upgraded its facilities. In July 2020, Paris-Saclay was ranked first worldwide for Mathematics by Academic Ranking of World Universities (ARWU) and 9th worldwide for Physics (1st in Europe). The Faculty has produced numerous research discoveries and many distinguished alumni and professors.
History
Established in 1956, the Paris-Saclay Faculty of Sciences was originally part of the University of Paris (founded in c. 1150), which was subsequently split into several universities.
After World War II, the rapid growth of nuclear physics and chemistry meant that research needed more and more powerful accelerators, which required large areas. The University of Paris, the École Normale Supérieure and the Collège de France looked for space in the south of Paris near Orsay. Later some of the teaching activity of the Faculty of Sciences in Paris was transferred to Orsay in 1956 at the request of Irène Joliot-Curie and Frédéric Joliot-Curie. The rapid increase of students led to the independence of the Orsay Center on March 1, 1965.
Now it hosts a great number of laboratories on its large (236 ha) campus in Paris-Saclay. Many of the top French laboratories are among them especially in particle physics, nuclear physics, astrophysics, atomic physics and molecular physics, condensed matter physics, theoretical physics, electronics, nanoscience and nanotechnology. The faculty comprises some 40 research units.
Academic overview
Nobel and Fields laureates
Albert Fert - Professor - Nobel in Physics - 2007
Pierre-Gilles de Gennes - Professor - Nobel in Physics - 1991
Ngô Bảo Châu - PhD and Professor - Fields Medal - 2010
Wendelin Werner - Professor - Fields Medal - 2006
Laurent Lafforgue - PhD and Professor - Fields Medal - 2002
Jean-Christophe Yoccoz - PhD and Professor - Fields Medal - 1994
Pierre Deligne - PhD - Fields Medal - 1978
See also
Paris-Saclay University
Paris-Saclay
France
Science
Mathematics
References
External links
Faculty of Sciences official homepage
Paris-Saclay University
Academic staff of Paris-Saclay University
Paris-Saclay
|
https://en.wikipedia.org/wiki/Peter%20Schneider%20%28mathematician%29
|
Peter Bernd Schneider (born 9 January 1953 in Karlsruhe) is a German mathematician, specializing in the p-adic aspects of algebraic number theory, arithmetic algebraic geometry, and representation theory.
Education and career
Peter Schneider studied mathematics in Karlsruhe and Erlangen. After his Diplom in 1977 from the University of Erlangen-Nuremberg, he was an assistant from 1977 to 1983 at the University of Regensburg. There he received in 1980 his PhD with advisor Jürgen Neukirch and dissertation Die Galoiscohomologie -adischer Darstellungen über Zahlkörpern (The Galois cohomology of -adic representations of number fields). Schneider habilitated in 1982 at the University of Regensburg. He was a postdoc at Harvard University for the academic year 1983–1984 and a C2-professor at Heidelberg University for the academic year 1984–1985. He was a C4-professor from 1985 to 1994 at the University of Cologne and is since 1994 a C-4 professor at the University of Münster.
His research includes Iwasawa theory, special values of -functions. and -adic representations (in the latter subject he has collaborated extensively with Jeremy Teitelbaum).
In 1992 Schneider, together with Christopher Deninger, Michael Rapoport and Thomas Zink, received the Gottfried Wilhelm Leibniz Prize for their work in using arithmetic-algebraic geometry to solve Diophantine equations. In 2006 he was an invited speaker with talk Continuous representation theory of p-adic Lie groups at the International Congress of Mathematicians in Madrid. In 2016 he was elected a member of the German National Academy of Sciences Leopoldina and the Academia Europaea.
Selected publications
Articles
with U. Stuhler:
with U. Stuhler:
with J. Teitelbaum:
with J. Teitelbaum:
Books
p-adic Lie groups, Grundlehren der mathematischen Wissenschaften, Springer Verlag, 2011
Galois Representations and (φ,Γ)-modules. Vol. 164. Cambridge University Press, 2017
as editor, with Norbert Schappacher and Michael Rapoport: Beilinson’s conjectures on special values of L-functions, Academic Press, Boston 1988, (Oberwolfach-Tagung; Perspectives in Mathematics 4); 2014 reprint
as editor, with John H. Coates, Sujatha Ramdorai, and Otmar Venjakob:
References
External links
20th-century German mathematicians
21st-century German mathematicians
Arithmetic geometers
University of Erlangen-Nuremberg alumni
University of Regensburg alumni
Academic staff of the University of Münster
Gottfried Wilhelm Leibniz Prize winners
Members of Academia Europaea
1953 births
Living people
Members of the German National Academy of Sciences Leopoldina
|
https://en.wikipedia.org/wiki/2018%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201500%20m
|
The men's 1500 meter at the 2018 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Friday 27 October 2017. There were 23 participants.
Statistics
Result
Source:
Referee: Berri de Jonge. Assistant: Ingrid Heijnsbroek Starter: André de Vries
Start: 20:56 hr. Finish: 21:32 hr.
Draw
References
Single Distance Championships
2018 Single Distance
|
https://en.wikipedia.org/wiki/Karen%20Markosyan
|
Karen Markosyan (; born 23 October 1968) is a retired Armenian football midfielder.
Career statistics
International
References
1968 births
Living people
Soviet men's footballers
Armenian men's footballers
Soviet Armenians
FC Ararat Yerevan players
FC Kotayk players
Zvartnots-AAL FC players
FK Köpetdag Aşgabat players
Men's association football midfielders
Armenia men's international footballers
Armenian expatriate men's footballers
Expatriate men's footballers in Germany
Armenian expatriate sportspeople in Germany
Expatriate men's footballers in Turkmenistan
Armenian expatriate sportspeople in Turkmenistan
|
https://en.wikipedia.org/wiki/2017%20KNSB%20Dutch%20Single%20Distance%20Championships%20%E2%80%93%20Men%27s%201500%20m
|
The men's 1500 meter at the 2017 KNSB Dutch Single Distance Championships took place in Heerenveen at the Thialf ice skating rink on Thursday 29 December 2016. There were 20 participants.
Statistics
Result
Source:
Referee: Dina Melis. Assistant: Loretta Staring Starter: Raymond Micka
Start: 18:22 hr. Finish: 18:51 hr.
Draw
References
Single Distance Championships
2017 Single Distance
|
https://en.wikipedia.org/wiki/Ricardo%20Felipe
|
Ricardo Felipe da Silva (born 31 March 1999) is a Brazilian footballer who currently plays as a midfielder for Decisão.
Career statistics
Club
Notes
References
1999 births
Living people
Brazilian men's footballers
Men's association football midfielders
Clube Atlético do Porto players
Sociedade Esportiva Decisão Futebol Clube players
|
https://en.wikipedia.org/wiki/Raykar
|
Raykar dos Santos Campos (born 19 July 1997), commonly known as Raykar, is a Brazilian footballer who currently plays as a defender for Petrolina.
Career statistics
Club
Notes
References
1997 births
Living people
Brazilian men's footballers
Men's association football defenders
Sociedade Esportiva Decisão Futebol Clube players
Vera Cruz Futebol Clube players
|
https://en.wikipedia.org/wiki/Rom%C3%A1rio%20%28footballer%2C%20born%201998%29
|
Romário Porto Valença (born 25 January 1998) is a Brazilian footballer who currently plays as a midfielder for Decisão.
Career statistics
Club
Notes
References
1998 births
Living people
Brazilian men's footballers
Men's association football midfielders
Sociedade Esportiva Decisão Futebol Clube players
|
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.